id	sid	tid	token	lemma	pos
ap-7699	1	1	acta	acta	PROPN
ap-7699	1	2	polytechnica	polytechnica	PROPN
ap-7699	1	3	https://doi.org/10.14311/ap.2022.62.0118	https://doi.org/10.14311/ap.2022.62.0118	PROPN
ap-7699	1	4	acta	acta	PROPN
ap-7699	1	5	polytechnica	polytechnica	PROPN
ap-7699	1	6	62(1):118–156	62(1):118–156	NOUN
ap-7699	1	7	,	,	PUNCT
ap-7699	1	8	2022	2022	NUM
ap-7699	1	9	©	©	ADP
ap-7699	1	10	2022	2022	NUM
ap-7699	1	11	the	the	DET
ap-7699	1	12	author(s	author(s	NOUN
ap-7699	1	13	)	)	PUNCT
ap-7699	1	14	.	.	PUNCT
ap-7699	2	1	licensed	license	VERB
ap-7699	2	2	under	under	ADP
ap-7699	2	3	a	a	DET
ap-7699	2	4	cc	cc	NOUN
ap-7699	2	5	-	-	PUNCT
ap-7699	2	6	by	by	ADP
ap-7699	2	7	4.0	4.0	NUM
ap-7699	2	8	licence	licence	NOUN
ap-7699	2	9	published	publish	VERB
ap-7699	2	10	by	by	ADP
ap-7699	2	11	the	the	DET
ap-7699	2	12	czech	czech	PROPN
ap-7699	2	13	technical	technical	PROPN
ap-7699	2	14	university	university	PROPN
ap-7699	2	15	in	in	ADP
ap-7699	2	16	prague	prague	NOUN
ap-7699	2	17	how	how	SCONJ
ap-7699	2	18	to	to	PART
ap-7699	2	19	understand	understand	VERB
ap-7699	2	20	the	the	DET
ap-7699	2	21	structure	structure	NOUN
ap-7699	2	22	of	of	ADP
ap-7699	2	23	beta	beta	ADJ
ap-7699	2	24	functions	function	NOUN
ap-7699	2	25	in	in	ADP
ap-7699	2	26	six	six	NUM
ap-7699	2	27	-	-	PUNCT
ap-7699	2	28	derivative	derivative	ADJ
ap-7699	2	29	quantum	quantum	NOUN
ap-7699	2	30	gravity	gravity	NOUN
ap-7699	2	31	?	?	PUNCT
ap-7699	3	1	lesław	lesław	PROPN
ap-7699	3	2	rachwał	rachwał	PROPN
ap-7699	3	3	universidade	universidade	PROPN
ap-7699	3	4	federal	federal	PROPN
ap-7699	3	5	de	de	PROPN
ap-7699	3	6	juiz	juiz	PROPN
ap-7699	3	7	de	de	PROPN
ap-7699	3	8	fora	fora	PROPN
ap-7699	3	9	,	,	PUNCT
ap-7699	3	10	departamento	departamento	PROPN
ap-7699	3	11	de	de	PROPN
ap-7699	3	12	física	física	PROPN
ap-7699	3	13	–	–	PUNCT
ap-7699	3	14	instituto	instituto	PROPN
ap-7699	3	15	de	de	PROPN
ap-7699	3	16	ciências	ciências	PROPN
ap-7699	3	17	exatas	exata	NOUN
ap-7699	3	18	,	,	PUNCT
ap-7699	3	19	33036	33036	NUM
ap-7699	3	20	-	-	SYM
ap-7699	3	21	900	900	NUM
ap-7699	3	22	,	,	PUNCT
ap-7699	3	23	juiz	juiz	PROPN
ap-7699	3	24	de	de	PROPN
ap-7699	3	25	fora	fora	PROPN
ap-7699	3	26	,	,	PUNCT
ap-7699	3	27	mg	mg	PROPN
ap-7699	3	28	,	,	PUNCT
ap-7699	3	29	brazil	brazil	PROPN
ap-7699	3	30	correspondence	correspondence	NOUN
ap-7699	3	31	:	:	PUNCT
ap-7699	4	1	grzerach@gmail.com	grzerach@gmail.com	X
ap-7699	4	2	abstract	abstract	NOUN
ap-7699	4	3	.	.	PUNCT
ap-7699	5	1	we	we	PRON
ap-7699	5	2	extensively	extensively	ADV
ap-7699	5	3	motivate	motivate	VERB
ap-7699	5	4	the	the	DET
ap-7699	5	5	studies	study	NOUN
ap-7699	5	6	of	of	ADP
ap-7699	5	7	higher	high	ADJ
ap-7699	5	8	-	-	PUNCT
ap-7699	5	9	derivative	derivative	ADJ
ap-7699	5	10	gravities	gravity	NOUN
ap-7699	5	11	,	,	PUNCT
ap-7699	5	12	and	and	CCONJ
ap-7699	5	13	in	in	ADP
ap-7699	5	14	particular	particular	ADJ
ap-7699	5	15	we	we	PRON
ap-7699	5	16	emphasize	emphasize	VERB
ap-7699	5	17	which	which	DET
ap-7699	5	18	new	new	ADJ
ap-7699	5	19	quantum	quantum	NOUN
ap-7699	5	20	features	feature	NOUN
ap-7699	5	21	theories	theory	NOUN
ap-7699	5	22	with	with	ADP
ap-7699	5	23	six	six	NUM
ap-7699	5	24	derivatives	derivative	NOUN
ap-7699	5	25	in	in	ADP
ap-7699	5	26	their	their	PRON
ap-7699	5	27	definitions	definition	NOUN
ap-7699	5	28	possess	possess	VERB
ap-7699	5	29	.	.	PUNCT
ap-7699	6	1	next	next	ADV
ap-7699	6	2	,	,	PUNCT
ap-7699	6	3	we	we	PRON
ap-7699	6	4	discuss	discuss	VERB
ap-7699	6	5	the	the	DET
ap-7699	6	6	mathematical	mathematical	ADJ
ap-7699	6	7	structure	structure	NOUN
ap-7699	6	8	of	of	ADP
ap-7699	6	9	the	the	DET
ap-7699	6	10	exact	exact	NOUN
ap-7699	6	11	on	on	ADP
ap-7699	6	12	the	the	DET
ap-7699	6	13	full	full	ADJ
ap-7699	6	14	quantum	quantum	ADJ
ap-7699	6	15	level	level	NOUN
ap-7699	6	16	beta	beta	NOUN
ap-7699	6	17	functions	function	NOUN
ap-7699	6	18	obtained	obtain	VERB
ap-7699	6	19	previously	previously	ADV
ap-7699	6	20	for	for	ADP
ap-7699	6	21	three	three	NUM
ap-7699	6	22	couplings	coupling	NOUN
ap-7699	6	23	in	in	ADP
ap-7699	6	24	front	front	NOUN
ap-7699	6	25	of	of	ADP
ap-7699	6	26	generally	generally	ADV
ap-7699	6	27	covariant	covariant	ADJ
ap-7699	6	28	terms	term	NOUN
ap-7699	6	29	with	with	ADP
ap-7699	6	30	four	four	NUM
ap-7699	6	31	derivatives	derivative	NOUN
ap-7699	6	32	(	(	PUNCT
ap-7699	6	33	weyl	weyl	VERB
ap-7699	6	34	tensor	tensor	NOUN
ap-7699	6	35	squared	square	VERB
ap-7699	6	36	,	,	PUNCT
ap-7699	6	37	ricci	ricci	PROPN
ap-7699	6	38	scalar	scalar	NOUN
ap-7699	6	39	squared	square	VERB
ap-7699	6	40	and	and	CCONJ
ap-7699	6	41	the	the	DET
ap-7699	6	42	gauss	gauss	ADJ
ap-7699	6	43	-	-	PUNCT
ap-7699	6	44	bonnet	bonnet	NOUN
ap-7699	6	45	scalar	scalar	NOUN
ap-7699	6	46	)	)	PUNCT
ap-7699	6	47	in	in	ADP
ap-7699	6	48	minimal	minimal	ADJ
ap-7699	6	49	six	six	NUM
ap-7699	6	50	-	-	PUNCT
ap-7699	6	51	derivative	derivative	ADJ
ap-7699	6	52	quantum	quantum	NOUN
ap-7699	6	53	gravity	gravity	NOUN
ap-7699	6	54	in	in	ADP
ap-7699	6	55	d	d	PROPN
ap-7699	6	56	=	=	SYM
ap-7699	6	57	4	4	NUM
ap-7699	6	58	spacetime	spacetime	NOUN
ap-7699	6	59	dimensions	dimension	NOUN
ap-7699	6	60	.	.	PUNCT
ap-7699	7	1	the	the	DET
ap-7699	7	2	fundamental	fundamental	ADJ
ap-7699	7	3	role	role	NOUN
ap-7699	7	4	here	here	ADV
ap-7699	7	5	is	be	AUX
ap-7699	7	6	played	play	VERB
ap-7699	7	7	by	by	ADP
ap-7699	7	8	the	the	DET
ap-7699	7	9	ratio	ratio	NOUN
ap-7699	7	10	x	x	PUNCT
ap-7699	7	11	of	of	ADP
ap-7699	7	12	the	the	DET
ap-7699	7	13	coupling	coupling	NOUN
ap-7699	7	14	in	in	ADP
ap-7699	7	15	front	front	NOUN
ap-7699	7	16	of	of	ADP
ap-7699	7	17	the	the	DET
ap-7699	7	18	term	term	NOUN
ap-7699	7	19	with	with	ADP
ap-7699	7	20	weyl	weyl	VERB
ap-7699	7	21	tensors	tensor	NOUN
ap-7699	7	22	to	to	ADP
ap-7699	7	23	the	the	DET
ap-7699	7	24	coupling	coupling	NOUN
ap-7699	7	25	in	in	ADP
ap-7699	7	26	front	front	NOUN
ap-7699	7	27	of	of	ADP
ap-7699	7	28	the	the	DET
ap-7699	7	29	term	term	NOUN
ap-7699	7	30	with	with	ADP
ap-7699	7	31	ricci	ricci	PROPN
ap-7699	7	32	scalars	scalar	NOUN
ap-7699	7	33	in	in	ADP
ap-7699	7	34	the	the	DET
ap-7699	7	35	original	original	ADJ
ap-7699	7	36	action	action	NOUN
ap-7699	7	37	.	.	PUNCT
ap-7699	8	1	we	we	PRON
ap-7699	8	2	draw	draw	VERB
ap-7699	8	3	a	a	DET
ap-7699	8	4	relation	relation	NOUN
ap-7699	8	5	between	between	ADP
ap-7699	8	6	the	the	DET
ap-7699	8	7	polynomial	polynomial	ADJ
ap-7699	8	8	dependence	dependence	NOUN
ap-7699	8	9	on	on	ADP
ap-7699	8	10	x	x	PUNCT
ap-7699	8	11	and	and	CCONJ
ap-7699	8	12	the	the	DET
ap-7699	8	13	absence	absence	NOUN
ap-7699	8	14	/	/	SYM
ap-7699	8	15	presence	presence	NOUN
ap-7699	8	16	of	of	ADP
ap-7699	8	17	enhanced	enhanced	ADJ
ap-7699	8	18	conformal	conformal	NOUN
ap-7699	8	19	symmetry	symmetry	NOUN
ap-7699	8	20	and	and	CCONJ
ap-7699	8	21	renormalizability	renormalizability	NOUN
ap-7699	8	22	in	in	ADP
ap-7699	8	23	the	the	DET
ap-7699	8	24	models	model	NOUN
ap-7699	8	25	where	where	SCONJ
ap-7699	8	26	formally	formally	ADV
ap-7699	8	27	x	x	PUNCT
ap-7699	8	28	→	→	SYM
ap-7699	8	29	+	+	NUM
ap-7699	8	30	∞	∞	PROPN
ap-7699	8	31	in	in	ADP
ap-7699	8	32	the	the	DET
ap-7699	8	33	case	case	NOUN
ap-7699	8	34	of	of	ADP
ap-7699	8	35	fourand	fourand	ADJ
ap-7699	8	36	six	six	NUM
ap-7699	8	37	-	-	PUNCT
ap-7699	8	38	derivative	derivative	ADJ
ap-7699	8	39	theories	theory	NOUN
ap-7699	8	40	respectively	respectively	ADV
ap-7699	8	41	.	.	PUNCT
ap-7699	9	1	keywords	keyword	NOUN
ap-7699	9	2	:	:	PUNCT
ap-7699	9	3	quantum	quantum	ADJ
ap-7699	9	4	gravity	gravity	NOUN
ap-7699	9	5	,	,	PUNCT
ap-7699	9	6	higher	high	ADJ
ap-7699	9	7	derivatives	derivative	NOUN
ap-7699	9	8	,	,	PUNCT
ap-7699	9	9	beta	beta	NOUN
ap-7699	9	10	functions	function	NOUN
ap-7699	9	11	,	,	PUNCT
ap-7699	9	12	uv	uv	NOUN
ap-7699	9	13	-	-	PUNCT
ap-7699	9	14	finiteness	finiteness	NOUN
ap-7699	9	15	,	,	PUNCT
ap-7699	9	16	conformal	conformal	NOUN
ap-7699	9	17	symmetry	symmetry	NOUN
ap-7699	9	18	.	.	PUNCT
ap-7699	10	1	1	1	X
ap-7699	10	2	.	.	X
ap-7699	10	3	introduction	introduction	NOUN
ap-7699	10	4	and	and	CCONJ
ap-7699	10	5	motivation	motivation	NOUN
ap-7699	10	6	six	six	NUM
ap-7699	10	7	-	-	PUNCT
ap-7699	10	8	derivative	derivative	ADJ
ap-7699	10	9	quantum	quantum	NOUN
ap-7699	10	10	gravity	gravity	NOUN
ap-7699	10	11	(	(	PUNCT
ap-7699	10	12	qg	qg	PROPN
ap-7699	10	13	)	)	PUNCT
ap-7699	10	14	is	be	AUX
ap-7699	10	15	a	a	DET
ap-7699	10	16	model	model	NOUN
ap-7699	10	17	of	of	ADP
ap-7699	10	18	quantum	quantum	ADJ
ap-7699	10	19	dynamics	dynamic	NOUN
ap-7699	10	20	of	of	ADP
ap-7699	10	21	relativistic	relativistic	ADJ
ap-7699	10	22	gravitational	gravitational	ADJ
ap-7699	10	23	field	field	NOUN
ap-7699	10	24	with	with	ADP
ap-7699	10	25	higher	high	ADJ
ap-7699	10	26	derivatives	derivative	NOUN
ap-7699	10	27	.	.	PUNCT
ap-7699	11	1	it	it	PRON
ap-7699	11	2	is	be	AUX
ap-7699	11	3	a	a	DET
ap-7699	11	4	special	special	ADJ
ap-7699	11	5	case	case	NOUN
ap-7699	11	6	of	of	ADP
ap-7699	11	7	general	general	ADJ
ap-7699	11	8	higher	high	ADJ
ap-7699	11	9	-	-	PUNCT
ap-7699	11	10	derivative	derivative	ADJ
ap-7699	11	11	(	(	PUNCT
ap-7699	11	12	hd	hd	NOUN
ap-7699	11	13	)	)	PUNCT
ap-7699	11	14	models	model	NOUN
ap-7699	11	15	which	which	PRON
ap-7699	11	16	are	be	AUX
ap-7699	11	17	very	very	ADV
ap-7699	11	18	particular	particular	ADJ
ap-7699	11	19	modifications	modification	NOUN
ap-7699	11	20	of	of	ADP
ap-7699	11	21	einsteinian	einsteinian	ADJ
ap-7699	11	22	gravitational	gravitational	ADJ
ap-7699	11	23	theory	theory	NOUN
ap-7699	11	24	.	.	PUNCT
ap-7699	12	1	the	the	DET
ap-7699	12	2	last	last	ADJ
ap-7699	12	3	one	one	NOUN
ap-7699	12	4	is	be	AUX
ap-7699	12	5	based	base	VERB
ap-7699	12	6	on	on	ADP
ap-7699	12	7	the	the	DET
ap-7699	12	8	theory	theory	NOUN
ap-7699	12	9	with	with	ADP
ap-7699	12	10	up	up	ADP
ap-7699	12	11	to	to	PART
ap-7699	12	12	two	two	NUM
ap-7699	12	13	derivatives	derivative	NOUN
ap-7699	12	14	(	(	PUNCT
ap-7699	12	15	an	an	DET
ap-7699	12	16	addition	addition	NOUN
ap-7699	12	17	of	of	ADP
ap-7699	12	18	the	the	DET
ap-7699	12	19	cosmological	cosmological	ADJ
ap-7699	12	20	constant	constant	ADJ
ap-7699	12	21	term	term	NOUN
ap-7699	12	22	brings	bring	VERB
ap-7699	12	23	terms	term	NOUN
ap-7699	12	24	with	with	ADP
ap-7699	12	25	no	no	DET
ap-7699	12	26	derivatives	derivative	NOUN
ap-7699	12	27	on	on	ADP
ap-7699	12	28	the	the	DET
ap-7699	12	29	metric	metric	ADJ
ap-7699	12	30	field	field	NOUN
ap-7699	12	31	at	at	ADV
ap-7699	12	32	all	all	ADV
ap-7699	12	33	)	)	PUNCT
ap-7699	12	34	and	and	CCONJ
ap-7699	12	35	it	it	PRON
ap-7699	12	36	is	be	AUX
ap-7699	12	37	simply	simply	ADV
ap-7699	12	38	based	base	VERB
ap-7699	12	39	on	on	ADP
ap-7699	12	40	the	the	DET
ap-7699	12	41	action	action	NOUN
ap-7699	12	42	composed	compose	VERB
ap-7699	12	43	of	of	ADP
ap-7699	12	44	the	the	DET
ap-7699	12	45	ricci	ricci	PROPN
ap-7699	12	46	curvature	curvature	NOUN
ap-7699	12	47	scalar	scalar	ADJ
ap-7699	12	48	r	r	NOUN
ap-7699	12	49	understood	understand	VERB
ap-7699	12	50	as	as	ADP
ap-7699	12	51	the	the	DET
ap-7699	12	52	function	function	NOUN
ap-7699	12	53	of	of	ADP
ap-7699	12	54	the	the	DET
ap-7699	12	55	spacetime	spacetime	NOUN
ap-7699	12	56	metric	metric	NOUN
ap-7699	12	57	.	.	PUNCT
ap-7699	13	1	in	in	ADP
ap-7699	13	2	this	this	DET
ap-7699	13	3	setup	setup	NOUN
ap-7699	13	4	,	,	PUNCT
ap-7699	13	5	we	we	PRON
ap-7699	13	6	consider	consider	VERB
ap-7699	13	7	that	that	DET
ap-7699	13	8	gravitational	gravitational	ADJ
ap-7699	13	9	field	field	NOUN
ap-7699	13	10	is	be	AUX
ap-7699	13	11	completely	completely	ADV
ap-7699	13	12	described	describe	VERB
ap-7699	13	13	by	by	ADP
ap-7699	13	14	the	the	DET
ap-7699	13	15	symmetric	symmetric	ADJ
ap-7699	13	16	tensor	tensor	NOUN
ap-7699	13	17	field	field	NOUN
ap-7699	13	18	gµν	gµν	NOUN
ap-7699	13	19	being	be	AUX
ap-7699	13	20	the	the	DET
ap-7699	13	21	metric	metric	ADJ
ap-7699	13	22	tensor	tensor	NOUN
ap-7699	13	23	of	of	ADP
ap-7699	13	24	the	the	DET
ap-7699	13	25	pseudo	pseudo	NOUN
ap-7699	13	26	-	-	ADJ
ap-7699	13	27	riemannian	riemannian	ADJ
ap-7699	13	28	smooth	smooth	ADJ
ap-7699	13	29	differential	differential	NOUN
ap-7699	13	30	manifold	manifold	NOUN
ap-7699	13	31	of	of	ADP
ap-7699	13	32	a	a	DET
ap-7699	13	33	physical	physical	ADJ
ap-7699	13	34	spacetime	spacetime	NOUN
ap-7699	13	35	.	.	PUNCT
ap-7699	14	1	in	in	ADP
ap-7699	14	2	einstein	einstein	PROPN
ap-7699	14	3	’s	’s	PART
ap-7699	14	4	theory	theory	NOUN
ap-7699	14	5	the	the	DET
ap-7699	14	6	scalar	scalar	ADJ
ap-7699	14	7	r	r	NOUN
ap-7699	14	8	contains	contain	VERB
ap-7699	14	9	precisely	precisely	ADV
ap-7699	14	10	two	two	NUM
ap-7699	14	11	ordinary	ordinary	ADJ
ap-7699	14	12	(	(	PUNCT
ap-7699	14	13	partial	partial	ADJ
ap-7699	14	14	)	)	PUNCT
ap-7699	14	15	derivatives	derivative	NOUN
ap-7699	14	16	of	of	ADP
ap-7699	14	17	the	the	DET
ap-7699	14	18	metric	metric	NOUN
ap-7699	14	19	.	.	PUNCT
ap-7699	15	1	the	the	DET
ap-7699	15	2	action	action	NOUN
ap-7699	15	3	obtained	obtain	VERB
ap-7699	15	4	by	by	ADP
ap-7699	15	5	integrating	integrate	VERB
ap-7699	15	6	over	over	ADP
ap-7699	15	7	the	the	DET
ap-7699	15	8	spacetime	spacetime	NOUN
ap-7699	15	9	volume	volume	NOUN
ap-7699	15	10	the	the	DET
ap-7699	15	11	densitized	densitize	VERB
ap-7699	15	12	lagrangian	lagrangian	ADJ
ap-7699	15	13	√	√	ADP
ap-7699	15	14	|g|r	|g|r	NOUN
ap-7699	15	15	we	we	PRON
ap-7699	15	16	call	call	VERB
ap-7699	15	17	as	as	ADP
ap-7699	15	18	einstein	einstein	NOUN
ap-7699	15	19	-	-	PUNCT
ap-7699	15	20	hilbert	hilbert	PROPN
ap-7699	15	21	action	action	NOUN
ap-7699	15	22	.	.	PUNCT
ap-7699	16	1	the	the	DET
ap-7699	16	2	qg	qg	PROPN
ap-7699	16	3	models	model	NOUN
ap-7699	16	4	based	base	VERB
ap-7699	16	5	on	on	ADP
ap-7699	16	6	it	it	PRON
ap-7699	16	7	were	be	AUX
ap-7699	16	8	originally	originally	ADV
ap-7699	16	9	studied	study	VERB
ap-7699	16	10	in	in	ADP
ap-7699	16	11	[	[	X
ap-7699	16	12	1–3	1–3	NOUN
ap-7699	16	13	]	]	X
ap-7699	16	14	.	.	PUNCT
ap-7699	17	1	below	below	ADV
ap-7699	17	2	we	we	PRON
ap-7699	17	3	consider	consider	VERB
ap-7699	17	4	modifications	modification	NOUN
ap-7699	17	5	of	of	ADP
ap-7699	17	6	two	two	NUM
ap-7699	17	7	-	-	PUNCT
ap-7699	17	8	derivative	derivative	ADJ
ap-7699	17	9	gravitational	gravitational	ADJ
ap-7699	17	10	theory	theory	NOUN
ap-7699	17	11	,	,	PUNCT
ap-7699	17	12	where	where	SCONJ
ap-7699	17	13	the	the	DET
ap-7699	17	14	number	number	NOUN
ap-7699	17	15	of	of	ADP
ap-7699	17	16	derivatives	derivative	NOUN
ap-7699	17	17	on	on	ADP
ap-7699	17	18	the	the	DET
ap-7699	17	19	metric	metric	NOUN
ap-7699	17	20	is	be	AUX
ap-7699	17	21	higher	high	ADJ
ap-7699	17	22	than	than	ADP
ap-7699	17	23	just	just	ADV
ap-7699	17	24	two	two	NUM
ap-7699	17	25	.	.	PUNCT
ap-7699	18	1	it	it	PRON
ap-7699	18	2	must	must	AUX
ap-7699	18	3	be	be	AUX
ap-7699	18	4	remarked	remark	VERB
ap-7699	18	5	,	,	PUNCT
ap-7699	18	6	however	however	ADV
ap-7699	18	7	,	,	PUNCT
ap-7699	18	8	that	that	SCONJ
ap-7699	18	9	the	the	DET
ap-7699	18	10	kinematical	kinematical	ADJ
ap-7699	18	11	framework	framework	NOUN
ap-7699	18	12	of	of	ADP
ap-7699	18	13	general	general	ADJ
ap-7699	18	14	relativity	relativity	NOUN
ap-7699	18	15	(	(	PUNCT
ap-7699	18	16	gr	gr	NOUN
ap-7699	18	17	)	)	PUNCT
ap-7699	18	18	(	(	PUNCT
ap-7699	18	19	like	like	ADP
ap-7699	18	20	metric	metric	ADJ
ap-7699	18	21	structure	structure	NOUN
ap-7699	18	22	of	of	ADP
ap-7699	18	23	the	the	DET
ap-7699	18	24	spacetime	spacetime	NOUN
ap-7699	18	25	manifold	manifold	NOUN
ap-7699	18	26	,	,	PUNCT
ap-7699	18	27	the	the	DET
ap-7699	18	28	form	form	NOUN
ap-7699	18	29	of	of	ADP
ap-7699	18	30	christoffel	christoffel	ADJ
ap-7699	18	31	coefficients	coefficient	NOUN
ap-7699	18	32	,	,	PUNCT
ap-7699	18	33	the	the	DET
ap-7699	18	34	motion	motion	NOUN
ap-7699	18	35	of	of	ADP
ap-7699	18	36	probe	probe	NOUN
ap-7699	18	37	particles	particle	NOUN
ap-7699	18	38	,	,	PUNCT
ap-7699	18	39	or	or	CCONJ
ap-7699	18	40	geodesic	geodesic	ADJ
ap-7699	18	41	and	and	CCONJ
ap-7699	18	42	fluid	fluid	ADJ
ap-7699	18	43	dynamics	dynamic	NOUN
ap-7699	18	44	equations	equation	NOUN
ap-7699	18	45	)	)	PUNCT
ap-7699	18	46	remains	remain	VERB
ap-7699	18	47	intact	intact	ADJ
ap-7699	18	48	for	for	ADP
ap-7699	18	49	these	these	DET
ap-7699	18	50	modifications	modification	NOUN
ap-7699	18	51	.	.	PUNCT
ap-7699	19	1	therefore	therefore	ADV
ap-7699	19	2	these	these	DET
ap-7699	19	3	higher	high	ADJ
ap-7699	19	4	-	-	PUNCT
ap-7699	19	5	derivative	derivative	ADJ
ap-7699	19	6	(	(	PUNCT
ap-7699	19	7	hd	hd	NOUN
ap-7699	19	8	)	)	PUNCT
ap-7699	19	9	models	model	NOUN
ap-7699	19	10	of	of	ADP
ap-7699	19	11	gravitational	gravitational	ADJ
ap-7699	19	12	field	field	NOUN
ap-7699	19	13	are	be	AUX
ap-7699	19	14	still	still	ADV
ap-7699	19	15	consistent	consistent	ADJ
ap-7699	19	16	with	with	ADP
ap-7699	19	17	the	the	DET
ap-7699	19	18	physical	physical	ADJ
ap-7699	19	19	basis	basis	NOUN
ap-7699	19	20	of	of	ADP
ap-7699	19	21	gr	gr	PROPN
ap-7699	19	22	,	,	PUNCT
ap-7699	19	23	the	the	DET
ap-7699	19	24	only	only	ADJ
ap-7699	19	25	difference	difference	NOUN
ap-7699	19	26	is	be	AUX
ap-7699	19	27	that	that	SCONJ
ap-7699	19	28	their	their	PRON
ap-7699	19	29	dynamics	dynamic	NOUN
ap-7699	19	30	–	–	PUNCT
ap-7699	19	31	the	the	DET
ap-7699	19	32	dynamics	dynamic	NOUN
ap-7699	19	33	of	of	ADP
ap-7699	19	34	the	the	DET
ap-7699	19	35	gravitational	gravitational	ADJ
ap-7699	19	36	field	field	NOUN
ap-7699	19	37	–	–	PUNCT
ap-7699	19	38	is	be	AUX
ap-7699	19	39	described	describe	VERB
ap-7699	19	40	by	by	ADP
ap-7699	19	41	classical	classical	ADJ
ap-7699	19	42	equations	equation	NOUN
ap-7699	19	43	of	of	ADP
ap-7699	19	44	motion	motion	NOUN
ap-7699	19	45	with	with	ADP
ap-7699	19	46	higher	high	ADJ
ap-7699	19	47	-	-	PUNCT
ap-7699	19	48	derivative	derivative	ADJ
ap-7699	19	49	character	character	NOUN
ap-7699	19	50	.	.	PUNCT
ap-7699	20	1	thence	thence	NOUN
ap-7699	20	2	these	these	DET
ap-7699	20	3	modifications	modification	NOUN
ap-7699	20	4	of	of	ADP
ap-7699	20	5	standard	standard	ADJ
ap-7699	20	6	einsteinian	einsteinian	ADJ
ap-7699	20	7	gravitational	gravitational	ADJ
ap-7699	20	8	theory	theory	NOUN
ap-7699	20	9	are	be	AUX
ap-7699	20	10	still	still	ADV
ap-7699	20	11	in	in	ADP
ap-7699	20	12	the	the	DET
ap-7699	20	13	set	set	NOUN
ap-7699	20	14	of	of	ADP
ap-7699	20	15	generally	generally	ADV
ap-7699	20	16	relativistic	relativistic	ADJ
ap-7699	20	17	models	model	NOUN
ap-7699	20	18	of	of	ADP
ap-7699	20	19	the	the	DET
ap-7699	20	20	dynamics	dynamic	NOUN
ap-7699	20	21	of	of	ADP
ap-7699	20	22	the	the	DET
ap-7699	20	23	gravitational	gravitational	ADJ
ap-7699	20	24	field	field	NOUN
ap-7699	20	25	.	.	PUNCT
ap-7699	21	1	they	they	PRON
ap-7699	21	2	could	could	AUX
ap-7699	21	3	be	be	AUX
ap-7699	21	4	considered	consider	VERB
ap-7699	21	5	both	both	PRON
ap-7699	21	6	on	on	ADP
ap-7699	21	7	the	the	DET
ap-7699	21	8	classical	classical	ADJ
ap-7699	21	9	and	and	CCONJ
ap-7699	21	10	quantum	quantum	NOUN
ap-7699	21	11	levels	level	NOUN
ap-7699	21	12	with	with	ADP
ap-7699	21	13	the	the	DET
ap-7699	21	14	benefits	benefit	NOUN
ap-7699	21	15	of	of	ADP
ap-7699	21	16	getting	get	VERB
ap-7699	21	17	new	new	ADJ
ap-7699	21	18	and	and	CCONJ
ap-7699	21	19	deeper	deep	ADJ
ap-7699	21	20	insights	insight	NOUN
ap-7699	21	21	in	in	ADP
ap-7699	21	22	the	the	DET
ap-7699	21	23	theory	theory	NOUN
ap-7699	21	24	of	of	ADP
ap-7699	21	25	relativistic	relativistic	ADJ
ap-7699	21	26	gravitational	gravitational	ADJ
ap-7699	21	27	field	field	NOUN
ap-7699	21	28	.	.	PUNCT
ap-7699	22	1	our	our	PRON
ap-7699	22	2	framework	framework	NOUN
ap-7699	22	3	on	on	ADP
ap-7699	22	4	the	the	DET
ap-7699	22	5	classical	classical	ADJ
ap-7699	22	6	level	level	NOUN
ap-7699	22	7	can	can	AUX
ap-7699	22	8	be	be	AUX
ap-7699	22	9	summarized	summarize	VERB
ap-7699	22	10	by	by	ADP
ap-7699	22	11	saying	say	VERB
ap-7699	22	12	that	that	SCONJ
ap-7699	22	13	we	we	PRON
ap-7699	22	14	work	work	VERB
ap-7699	22	15	within	within	ADP
ap-7699	22	16	the	the	DET
ap-7699	22	17	set	set	NOUN
ap-7699	22	18	of	of	ADP
ap-7699	22	19	metric	metric	ADJ
ap-7699	22	20	theories	theory	NOUN
ap-7699	22	21	of	of	ADP
ap-7699	22	22	gravity	gravity	NOUN
ap-7699	22	23	,	,	PUNCT
ap-7699	22	24	where	where	SCONJ
ap-7699	22	25	the	the	DET
ap-7699	22	26	metric	metric	ADJ
ap-7699	22	27	and	and	CCONJ
ap-7699	22	28	only	only	ADV
ap-7699	22	29	the	the	DET
ap-7699	22	30	metric	metric	ADJ
ap-7699	22	31	tensor	tensor	NOUN
ap-7699	22	32	characterizes	characterize	VERB
ap-7699	22	33	fully	fully	ADV
ap-7699	22	34	the	the	DET
ap-7699	22	35	configurations	configuration	NOUN
ap-7699	22	36	of	of	ADP
ap-7699	22	37	the	the	DET
ap-7699	22	38	gravitational	gravitational	ADJ
ap-7699	22	39	fields	field	NOUN
ap-7699	22	40	which	which	PRON
ap-7699	22	41	are	be	AUX
ap-7699	22	42	here	here	ADV
ap-7699	22	43	represented	represent	VERB
ap-7699	22	44	by	by	ADP
ap-7699	22	45	pseudo	pseudo	NOUN
ap-7699	22	46	-	-	ADJ
ap-7699	22	47	riemannian	riemannian	ADJ
ap-7699	22	48	differential	differential	NOUN
ap-7699	22	49	manifolds	manifold	NOUN
ap-7699	22	50	of	of	ADP
ap-7699	22	51	relativistic	relativistic	ADJ
ap-7699	22	52	four	four	NUM
ap-7699	22	53	-	-	PUNCT
ap-7699	22	54	dimensional	dimensional	ADJ
ap-7699	22	55	continuous	continuous	ADJ
ap-7699	22	56	spacetimes	spacetime	NOUN
ap-7699	22	57	.	.	PUNCT
ap-7699	23	1	therefore	therefore	ADV
ap-7699	23	2	,	,	PUNCT
ap-7699	23	3	in	in	ADP
ap-7699	23	4	this	this	DET
ap-7699	23	5	work	work	NOUN
ap-7699	23	6	we	we	PRON
ap-7699	23	7	neglect	neglect	VERB
ap-7699	23	8	other	other	ADJ
ap-7699	23	9	classical	classical	ADJ
ap-7699	23	10	modifications	modification	NOUN
ap-7699	23	11	of	of	ADP
ap-7699	23	12	gr	gr	NOUN
ap-7699	23	13	,	,	PUNCT
ap-7699	23	14	like	like	ADP
ap-7699	23	15	by	by	ADP
ap-7699	23	16	adding	add	VERB
ap-7699	23	17	torsion	torsion	NOUN
ap-7699	23	18	,	,	PUNCT
ap-7699	23	19	non	non	ADJ
ap-7699	23	20	-	-	NOUN
ap-7699	23	21	metricity	metricity	NOUN
ap-7699	23	22	,	,	PUNCT
ap-7699	23	23	other	other	ADJ
ap-7699	23	24	geometric	geometric	ADJ
ap-7699	23	25	elements	element	NOUN
ap-7699	23	26	or	or	CCONJ
ap-7699	23	27	other	other	ADJ
ap-7699	23	28	scalars	scalar	NOUN
ap-7699	23	29	,	,	PUNCT
ap-7699	23	30	vectors	vector	NOUN
ap-7699	23	31	or	or	CCONJ
ap-7699	23	32	tensor	tensor	NOUN
ap-7699	23	33	fields	field	NOUN
ap-7699	23	34	.	.	PUNCT
ap-7699	24	1	this	this	DET
ap-7699	24	2	choice	choice	NOUN
ap-7699	24	3	of	of	ADP
ap-7699	24	4	the	the	DET
ap-7699	24	5	dynamical	dynamical	ADJ
ap-7699	24	6	variables	variable	NOUN
ap-7699	24	7	for	for	ADP
ap-7699	24	8	the	the	DET
ap-7699	24	9	relativistic	relativistic	ADJ
ap-7699	24	10	gravitational	gravitational	ADJ
ap-7699	24	11	field	field	NOUN
ap-7699	24	12	bears	bear	VERB
ap-7699	24	13	impact	impact	NOUN
ap-7699	24	14	both	both	PRON
ap-7699	24	15	on	on	ADP
ap-7699	24	16	the	the	DET
ap-7699	24	17	classical	classical	ADJ
ap-7699	24	18	dynamics	dynamic	NOUN
ap-7699	24	19	as	as	ADV
ap-7699	24	20	well	well	ADV
ap-7699	24	21	as	as	ADP
ap-7699	24	22	on	on	ADP
ap-7699	24	23	the	the	DET
ap-7699	24	24	quantum	quantum	ADJ
ap-7699	24	25	theory	theory	NOUN
ap-7699	24	26	.	.	PUNCT
ap-7699	25	1	theories	theory	NOUN
ap-7699	25	2	with	with	ADP
ap-7699	25	3	higher	high	ADJ
ap-7699	25	4	derivatives	derivative	NOUN
ap-7699	25	5	come	come	VERB
ap-7699	25	6	naturally	naturally	ADV
ap-7699	25	7	both	both	CCONJ
ap-7699	25	8	with	with	ADP
ap-7699	25	9	advantages	advantage	NOUN
ap-7699	25	10	and	and	CCONJ
ap-7699	25	11	with	with	ADP
ap-7699	25	12	some	some	DET
ap-7699	25	13	theoretical	theoretical	ADJ
ap-7699	25	14	problems	problem	NOUN
ap-7699	25	15	.	.	PUNCT
ap-7699	26	1	this	this	PRON
ap-7699	26	2	happens	happen	VERB
ap-7699	26	3	already	already	ADV
ap-7699	26	4	on	on	ADP
ap-7699	26	5	the	the	DET
ap-7699	26	6	classical	classical	ADJ
ap-7699	26	7	level	level	NOUN
ap-7699	26	8	when	when	SCONJ
ap-7699	26	9	they	they	PRON
ap-7699	26	10	supposed	suppose	VERB
ap-7699	26	11	to	to	PART
ap-7699	26	12	describe	describe	VERB
ap-7699	26	13	the	the	DET
ap-7699	26	14	modified	modify	VERB
ap-7699	26	15	dynamics	dynamic	NOUN
ap-7699	26	16	of	of	ADP
ap-7699	26	17	the	the	DET
ap-7699	26	18	gravitational	gravitational	ADJ
ap-7699	26	19	field	field	NOUN
ap-7699	26	20	(	(	PUNCT
ap-7699	26	21	metric	metric	ADJ
ap-7699	26	22	field	field	NOUN
ap-7699	26	23	gµν(x	gµν(x	PROPN
ap-7699	26	24	)	)	PUNCT
ap-7699	26	25	living	live	VERB
ap-7699	26	26	on	on	ADP
ap-7699	26	27	the	the	DET
ap-7699	26	28	spacetime	spacetime	NOUN
ap-7699	26	29	manifold	manifold	NOUN
ap-7699	26	30	)	)	PUNCT
ap-7699	26	31	.	.	PUNCT
ap-7699	27	1	these	these	DET
ap-7699	27	2	successes	success	NOUN
ap-7699	27	3	and	and	CCONJ
ap-7699	27	4	problems	problem	NOUN
ap-7699	27	5	get	get	AUX
ap-7699	27	6	amplified	amplify	VERB
ap-7699	27	7	even	even	ADV
ap-7699	27	8	more	more	ADV
ap-7699	27	9	on	on	ADP
ap-7699	27	10	the	the	DET
ap-7699	27	11	quantum	quantum	ADJ
ap-7699	27	12	level	level	NOUN
ap-7699	27	13	.	.	PUNCT
ap-7699	28	1	the	the	DET
ap-7699	28	2	pros	pro	NOUN
ap-7699	28	3	for	for	ADP
ap-7699	28	4	hd	hd	NOUN
ap-7699	28	5	theories	theory	NOUN
ap-7699	28	6	give	give	VERB
ap-7699	28	7	strong	strong	ADJ
ap-7699	28	8	motivations	motivation	NOUN
ap-7699	28	9	why	why	SCONJ
ap-7699	28	10	to	to	PART
ap-7699	28	11	consider	consider	VERB
ap-7699	28	12	seriously	seriously	ADV
ap-7699	28	13	these	these	DET
ap-7699	28	14	modifications	modification	NOUN
ap-7699	28	15	of	of	ADP
ap-7699	28	16	einstein	einstein	PROPN
ap-7699	28	17	’s	’s	PART
ap-7699	28	18	gravitation	gravitation	NOUN
ap-7699	28	19	.	.	PUNCT
ap-7699	29	1	we	we	PRON
ap-7699	29	2	will	will	AUX
ap-7699	29	3	briefly	briefly	ADV
ap-7699	29	4	discuss	discuss	VERB
ap-7699	29	5	various	various	ADJ
ap-7699	29	6	possibilities	possibility	NOUN
ap-7699	29	7	of	of	ADP
ap-7699	29	8	how	how	SCONJ
ap-7699	29	9	to	to	PART
ap-7699	29	10	resolve	resolve	VERB
ap-7699	29	11	the	the	DET
ap-7699	29	12	problems	problem	NOUN
ap-7699	29	13	of	of	ADP
ap-7699	29	14	higherderivative	higherderivative	ADJ
ap-7699	29	15	field	field	NOUN
ap-7699	29	16	dynamics	dynamic	NOUN
ap-7699	29	17	in	in	ADP
ap-7699	29	18	one	one	NUM
ap-7699	29	19	of	of	ADP
ap-7699	29	20	the	the	DET
ap-7699	29	21	last	last	ADJ
ap-7699	29	22	sections	section	NOUN
ap-7699	29	23	of	of	ADP
ap-7699	29	24	this	this	DET
ap-7699	29	25	contribution	contribution	NOUN
ap-7699	29	26	,	,	PUNCT
ap-7699	29	27	while	while	SCONJ
ap-7699	29	28	here	here	ADV
ap-7699	29	29	we	we	PRON
ap-7699	29	30	will	will	AUX
ap-7699	29	31	consider	consider	VERB
ap-7699	29	32	more	more	ADJ
ap-7699	29	33	the	the	DET
ap-7699	29	34	motivations	motivation	NOUN
ap-7699	29	35	.	.	PUNCT
ap-7699	30	1	118	118	NUM
ap-7699	30	2	https://doi.org/10.14311/ap.2022.62.0118	https://doi.org/10.14311/ap.2022.62.0118	PROPN
ap-7699	30	3	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
ap-7699	30	4	https://www.cvut.cz/en	https://www.cvut.cz/en	PROPN
ap-7699	30	5	vol	vol	NOUN
ap-7699	30	6	.	.	PROPN
ap-7699	31	1	62	62	NUM
ap-7699	31	2	no	no	INTJ
ap-7699	31	3	.	.	PUNCT
ap-7699	32	1	1/2022	1/2022	NUM
ap-7699	32	2	beta	beta	NOUN
ap-7699	32	3	functions	function	NOUN
ap-7699	32	4	in	in	ADP
ap-7699	32	5	six	six	NUM
ap-7699	32	6	-	-	PUNCT
ap-7699	32	7	derivative	derivative	ADJ
ap-7699	32	8	quantum	quantum	NOUN
ap-7699	32	9	gravity	gravity	NOUN
ap-7699	32	10	on	on	ADP
ap-7699	32	11	the	the	DET
ap-7699	32	12	classical	classical	ADJ
ap-7699	32	13	level	level	NOUN
ap-7699	32	14	,	,	PUNCT
ap-7699	32	15	the	the	DET
ap-7699	32	16	set	set	NOUN
ap-7699	32	17	of	of	ADP
ap-7699	32	18	hd	hd	PROPN
ap-7699	32	19	gravitational	gravitational	ADJ
ap-7699	32	20	theories	theory	NOUN
ap-7699	32	21	can	can	AUX
ap-7699	32	22	be	be	AUX
ap-7699	32	23	viewed	view	VERB
ap-7699	32	24	as	as	ADP
ap-7699	32	25	one	one	NUM
ap-7699	32	26	of	of	ADP
ap-7699	32	27	the	the	DET
ap-7699	32	28	many	many	ADJ
ap-7699	32	29	possible	possible	ADJ
ap-7699	32	30	modifications	modification	NOUN
ap-7699	32	31	of	of	ADP
ap-7699	32	32	two	two	NUM
ap-7699	32	33	-	-	PUNCT
ap-7699	32	34	derivative	derivative	ADJ
ap-7699	32	35	gravitational	gravitational	ADJ
ap-7699	32	36	theory	theory	NOUN
ap-7699	32	37	.	.	PUNCT
ap-7699	33	1	it	it	PRON
ap-7699	33	2	is	be	AUX
ap-7699	33	3	true	true	ADJ
ap-7699	33	4	that	that	SCONJ
ap-7699	33	5	now	now	ADV
ap-7699	33	6	observations	observation	NOUN
ap-7699	33	7	,	,	PUNCT
ap-7699	33	8	mainly	mainly	ADV
ap-7699	33	9	in	in	ADP
ap-7699	33	10	cosmology	cosmology	NOUN
ap-7699	33	11	and	and	CCONJ
ap-7699	33	12	on	on	ADP
ap-7699	33	13	the	the	DET
ap-7699	33	14	intergalactic	intergalactic	ADJ
ap-7699	33	15	scales	scale	NOUN
ap-7699	33	16	,	,	PUNCT
ap-7699	33	17	point	point	VERB
ap-7699	33	18	to	to	ADP
ap-7699	33	19	some	some	DET
ap-7699	33	20	possible	possible	ADJ
ap-7699	33	21	failures	failure	NOUN
ap-7699	33	22	of	of	ADP
ap-7699	33	23	einsteinian	einsteinian	ADJ
ap-7699	33	24	theory	theory	NOUN
ap-7699	33	25	of	of	ADP
ap-7699	33	26	gravity	gravity	NOUN
ap-7699	33	27	or	or	CCONJ
ap-7699	33	28	to	to	ADP
ap-7699	33	29	our	our	PRON
ap-7699	33	30	lack	lack	NOUN
ap-7699	33	31	in	in	ADP
ap-7699	33	32	understanding	understand	VERB
ap-7699	33	33	the	the	DET
ap-7699	33	34	proper	proper	ADJ
ap-7699	33	35	nature	nature	NOUN
ap-7699	33	36	of	of	ADP
ap-7699	33	37	the	the	DET
ap-7699	33	38	sources	source	NOUN
ap-7699	33	39	of	of	ADP
ap-7699	33	40	gravity	gravity	NOUN
ap-7699	33	41	in	in	ADP
ap-7699	33	42	these	these	DET
ap-7699	33	43	respective	respective	ADJ
ap-7699	33	44	situations	situation	NOUN
ap-7699	33	45	.	.	PUNCT
ap-7699	34	1	there	there	PRON
ap-7699	34	2	are	be	VERB
ap-7699	34	3	various	various	ADJ
ap-7699	34	4	views	view	NOUN
ap-7699	34	5	possible	possible	ADJ
ap-7699	34	6	on	on	ADP
ap-7699	34	7	this	this	DET
ap-7699	34	8	situation	situation	NOUN
ap-7699	34	9	and	and	CCONJ
ap-7699	34	10	its	its	PRON
ap-7699	34	11	explanations	explanation	NOUN
ap-7699	34	12	by	by	ADP
ap-7699	34	13	gravitational	gravitational	ADJ
ap-7699	34	14	theories	theory	NOUN
ap-7699	34	15	.	.	PUNCT
ap-7699	35	1	in	in	ADP
ap-7699	35	2	the	the	DET
ap-7699	35	3	first	first	ADJ
ap-7699	35	4	view	view	NOUN
ap-7699	35	5	,	,	PUNCT
ap-7699	35	6	researchers	researcher	NOUN
ap-7699	35	7	say	say	VERB
ap-7699	35	8	that	that	SCONJ
ap-7699	35	9	einstein	einstein	PROPN
ap-7699	35	10	-	-	PUNCT
ap-7699	35	11	hilbert	hilbert	PROPN
ap-7699	35	12	theory	theory	NOUN
ap-7699	35	13	is	be	AUX
ap-7699	35	14	still	still	ADV
ap-7699	35	15	fine	fine	ADJ
ap-7699	35	16	,	,	PUNCT
ap-7699	35	17	but	but	CCONJ
ap-7699	35	18	we	we	PRON
ap-7699	35	19	need	need	VERB
ap-7699	35	20	to	to	PART
ap-7699	35	21	add	add	VERB
ap-7699	35	22	locally	locally	ADV
ap-7699	35	23	new	new	ADJ
ap-7699	35	24	exotic	exotic	ADJ
ap-7699	35	25	(	(	PUNCT
ap-7699	35	26	meaning	mean	VERB
ap-7699	35	27	coming	come	VERB
ap-7699	35	28	with	with	ADP
ap-7699	35	29	some	some	DET
ap-7699	35	30	non	non	ADJ
ap-7699	35	31	-	-	ADJ
ap-7699	35	32	standard	standard	ADJ
ap-7699	35	33	properties	property	NOUN
ap-7699	35	34	)	)	PUNCT
ap-7699	35	35	matter	matter	NOUN
ap-7699	35	36	source	source	NOUN
ap-7699	35	37	.	.	PUNCT
ap-7699	36	1	since	since	SCONJ
ap-7699	36	2	we	we	PRON
ap-7699	36	3	do	do	AUX
ap-7699	36	4	not	not	PART
ap-7699	36	5	know	know	VERB
ap-7699	36	6	what	what	PRON
ap-7699	36	7	these	these	DET
ap-7699	36	8	sources	source	NOUN
ap-7699	36	9	for	for	ADP
ap-7699	36	10	energy	energy	NOUN
ap-7699	36	11	-	-	PUNCT
ap-7699	36	12	momentum	momentum	NOUN
ap-7699	36	13	tensor	tensor	NOUN
ap-7699	36	14	(	(	PUNCT
ap-7699	36	15	emt	emt	PROPN
ap-7699	36	16	)	)	PUNCT
ap-7699	36	17	of	of	ADP
ap-7699	36	18	matter	matter	NOUN
ap-7699	36	19	are	be	AUX
ap-7699	36	20	built	build	VERB
ap-7699	36	21	out	out	ADP
ap-7699	36	22	of	of	ADP
ap-7699	36	23	(	(	PUNCT
ap-7699	36	24	for	for	ADP
ap-7699	36	25	example	example	NOUN
ap-7699	36	26	–	–	PUNCT
ap-7699	36	27	from	from	ADP
ap-7699	36	28	which	which	PRON
ap-7699	36	29	quantum	quantum	NOUN
ap-7699	36	30	fields	field	NOUN
ap-7699	36	31	of	of	ADP
ap-7699	36	32	particle	particle	NOUN
ap-7699	36	33	physics	physics	PROPN
ap-7699	36	34	as	as	SCONJ
ap-7699	36	35	understood	understand	VERB
ap-7699	36	36	nowadays	nowadays	ADV
ap-7699	36	37	)	)	PUNCT
ap-7699	36	38	,	,	PUNCT
ap-7699	36	39	we	we	PRON
ap-7699	36	40	call	call	VERB
ap-7699	36	41	the	the	DET
ap-7699	36	42	missing	miss	VERB
ap-7699	36	43	sources	source	NOUN
ap-7699	36	44	as	as	ADP
ap-7699	36	45	dark	dark	ADJ
ap-7699	36	46	energy	energy	NOUN
ap-7699	36	47	and	and	CCONJ
ap-7699	36	48	dark	dark	ADJ
ap-7699	36	49	matter	matter	NOUN
ap-7699	36	50	respectively	respectively	ADV
ap-7699	36	51	.	.	PUNCT
ap-7699	37	1	contrary	contrary	ADJ
ap-7699	37	2	to	to	ADP
ap-7699	37	3	this	this	DET
ap-7699	37	4	approach	approach	NOUN
ap-7699	37	5	,	,	PUNCT
ap-7699	37	6	in	in	ADP
ap-7699	37	7	the	the	DET
ap-7699	37	8	other	other	ADJ
ap-7699	37	9	,	,	PUNCT
ap-7699	37	10	the	the	DET
ap-7699	37	11	gravitational	gravitational	ADJ
ap-7699	37	12	source	source	NOUN
ap-7699	37	13	is	be	AUX
ap-7699	37	14	standard	standard	ADJ
ap-7699	37	15	,	,	PUNCT
ap-7699	37	16	that	that	PRON
ap-7699	37	17	is	be	AUX
ap-7699	37	18	we	we	PRON
ap-7699	37	19	describe	describe	VERB
ap-7699	37	20	what	what	PRON
ap-7699	37	21	we	we	PRON
ap-7699	37	22	really	really	ADV
ap-7699	37	23	see	see	VERB
ap-7699	37	24	in	in	ADP
ap-7699	37	25	the	the	DET
ap-7699	37	26	galaxies	galaxy	NOUN
ap-7699	37	27	and	and	CCONJ
ap-7699	37	28	in	in	ADP
ap-7699	37	29	the	the	DET
ap-7699	37	30	universe	universe	NOUN
ap-7699	37	31	,	,	PUNCT
ap-7699	37	32	without	without	ADP
ap-7699	37	33	any	any	DET
ap-7699	37	34	“	"	PUNCT
ap-7699	37	35	dark	dark	ADJ
ap-7699	37	36	”	"	PUNCT
ap-7699	37	37	components	component	NOUN
ap-7699	37	38	,	,	PUNCT
ap-7699	37	39	but	but	CCONJ
ap-7699	37	40	the	the	DET
ap-7699	37	41	gravitational	gravitational	ADJ
ap-7699	37	42	theory	theory	NOUN
ap-7699	37	43	should	should	AUX
ap-7699	37	44	be	be	AUX
ap-7699	37	45	modified	modify	VERB
ap-7699	37	46	.	.	PUNCT
ap-7699	38	1	in	in	ADP
ap-7699	38	2	this	this	DET
ap-7699	38	3	second	second	ADJ
ap-7699	38	4	path	path	NOUN
ap-7699	38	5	,	,	PUNCT
ap-7699	38	6	the	the	DET
ap-7699	38	7	internal	internal	ADJ
ap-7699	38	8	dynamics	dynamic	NOUN
ap-7699	38	9	of	of	ADP
ap-7699	38	10	the	the	DET
ap-7699	38	11	gravitational	gravitational	ADJ
ap-7699	38	12	field	field	NOUN
ap-7699	38	13	is	be	AUX
ap-7699	38	14	changed	change	VERB
ap-7699	38	15	and	and	CCONJ
ap-7699	38	16	that	that	PRON
ap-7699	38	17	is	be	AUX
ap-7699	38	18	why	why	SCONJ
ap-7699	38	19	it	it	PRON
ap-7699	38	20	reacts	react	VERB
ap-7699	38	21	differently	differently	ADV
ap-7699	38	22	to	to	ADP
ap-7699	38	23	the	the	DET
ap-7699	38	24	same	same	ADJ
ap-7699	38	25	classical	classical	ADJ
ap-7699	38	26	visible	visible	ADJ
ap-7699	38	27	emt	emt	PROPN
ap-7699	38	28	source	source	NOUN
ap-7699	38	29	of	of	ADP
ap-7699	38	30	standard	standard	ADJ
ap-7699	38	31	matter	matter	NOUN
ap-7699	38	32	.	.	PUNCT
ap-7699	39	1	one	one	NUM
ap-7699	39	2	of	of	ADP
ap-7699	39	3	the	the	DET
ap-7699	39	4	promising	promising	ADJ
ap-7699	39	5	options	option	NOUN
ap-7699	39	6	is	be	AUX
ap-7699	39	7	to	to	PART
ap-7699	39	8	add	add	VERB
ap-7699	39	9	higher	high	ADJ
ap-7699	39	10	derivatives	derivative	NOUN
ap-7699	39	11	of	of	ADP
ap-7699	39	12	the	the	DET
ap-7699	39	13	metric	metric	NOUN
ap-7699	39	14	on	on	ADP
ap-7699	39	15	the	the	DET
ap-7699	39	16	classical	classical	ADJ
ap-7699	39	17	level	level	NOUN
ap-7699	39	18	,	,	PUNCT
ap-7699	39	19	but	but	CCONJ
ap-7699	39	20	in	in	ADP
ap-7699	39	21	such	such	DET
ap-7699	39	22	a	a	DET
ap-7699	39	23	way	way	NOUN
ap-7699	39	24	to	to	PART
ap-7699	39	25	still	still	ADV
ap-7699	39	26	preserve	preserve	VERB
ap-7699	39	27	the	the	DET
ap-7699	39	28	local	local	ADJ
ap-7699	39	29	lorentz	lorentz	PROPN
ap-7699	39	30	symmetry	symmetry	NOUN
ap-7699	39	31	of	of	ADP
ap-7699	39	32	the	the	DET
ap-7699	39	33	dynamics	dynamic	NOUN
ap-7699	39	34	that	that	PRON
ap-7699	39	35	is	be	AUX
ap-7699	39	36	to	to	PART
ap-7699	39	37	be	be	AUX
ap-7699	39	38	safe	safe	ADJ
ap-7699	39	39	with	with	ADP
ap-7699	39	40	respect	respect	NOUN
ap-7699	39	41	to	to	ADP
ap-7699	39	42	the	the	DET
ap-7699	39	43	general	general	ADJ
ap-7699	39	44	covariance	covariance	NOUN
ap-7699	39	45	.	.	PUNCT
ap-7699	40	1	hence	hence	ADV
ap-7699	40	2	all	all	DET
ap-7699	40	3	hd	hd	VERB
ap-7699	40	4	terms	term	NOUN
ap-7699	40	5	in	in	ADP
ap-7699	40	6	the	the	DET
ap-7699	40	7	action	action	NOUN
ap-7699	40	8	of	of	ADP
ap-7699	40	9	the	the	DET
ap-7699	40	10	theory	theory	NOUN
ap-7699	40	11	must	must	AUX
ap-7699	40	12	come	come	VERB
ap-7699	40	13	from	from	ADP
ap-7699	40	14	generally	generally	ADV
ap-7699	40	15	densitized	densitize	VERB
ap-7699	40	16	scalars	scalar	NOUN
ap-7699	40	17	which	which	PRON
ap-7699	40	18	are	be	AUX
ap-7699	40	19	hd	hd	NOUN
ap-7699	40	20	analogs	analog	NOUN
ap-7699	40	21	of	of	ADP
ap-7699	40	22	the	the	DET
ap-7699	40	23	ricci	ricci	PROPN
ap-7699	40	24	scalar	scalar	NOUN
ap-7699	40	25	.	.	PUNCT
ap-7699	41	1	they	they	PRON
ap-7699	41	2	can	can	AUX
ap-7699	41	3	be	be	AUX
ap-7699	41	4	in	in	ADP
ap-7699	41	5	full	full	ADJ
ap-7699	41	6	generality	generality	NOUN
ap-7699	41	7	built	build	VERB
ap-7699	41	8	as	as	ADP
ap-7699	41	9	contractions	contraction	NOUN
ap-7699	41	10	of	of	ADP
ap-7699	41	11	the	the	DET
ap-7699	41	12	metric	metric	ADJ
ap-7699	41	13	tensors	tensor	NOUN
ap-7699	41	14	(	(	PUNCT
ap-7699	41	15	both	both	CCONJ
ap-7699	41	16	covariant	covariant	ADJ
ap-7699	41	17	gµν	gµν	NOUN
ap-7699	41	18	and	and	CCONJ
ap-7699	41	19	contravariant	contravariant	ADJ
ap-7699	41	20	gµν	gµν	NOUN
ap-7699	41	21	)	)	PUNCT
ap-7699	41	22	,	,	PUNCT
ap-7699	41	23	riemann	riemann	PROPN
ap-7699	41	24	curvature	curvature	PROPN
ap-7699	41	25	tensor	tensor	NOUN
ap-7699	41	26	rµνρσ	rµνρσ	NOUN
ap-7699	41	27	and	and	CCONJ
ap-7699	41	28	also	also	ADV
ap-7699	41	29	of	of	ADP
ap-7699	41	30	covariant	covariant	ADJ
ap-7699	41	31	derivatives	derivative	NOUN
ap-7699	41	32	∇µ	∇µ	PROPN
ap-7699	41	33	acting	act	VERB
ap-7699	41	34	on	on	ADP
ap-7699	41	35	these	these	DET
ap-7699	41	36	riemann	riemann	PROPN
ap-7699	41	37	tensors1	tensors1	PROPN
ap-7699	41	38	.	.	PUNCT
ap-7699	42	1	initially	initially	ADV
ap-7699	42	2	this	this	PRON
ap-7699	42	3	may	may	AUX
ap-7699	42	4	look	look	VERB
ap-7699	42	5	as	as	ADP
ap-7699	42	6	presumably	presumably	ADV
ap-7699	42	7	unnecessary	unnecessary	ADJ
ap-7699	42	8	complication	complication	NOUN
ap-7699	42	9	since	since	SCONJ
ap-7699	42	10	classical	classical	ADJ
ap-7699	42	11	equations	equation	NOUN
ap-7699	42	12	of	of	ADP
ap-7699	42	13	motion	motion	NOUN
ap-7699	42	14	(	(	PUNCT
ap-7699	42	15	eom	eom	PROPN
ap-7699	42	16	)	)	PUNCT
ap-7699	42	17	with	with	ADP
ap-7699	42	18	higher	high	ADJ
ap-7699	42	19	derivatives	derivative	NOUN
ap-7699	42	20	of	of	ADP
ap-7699	42	21	the	the	DET
ap-7699	42	22	gravitational	gravitational	ADJ
ap-7699	42	23	field	field	NOUN
ap-7699	42	24	are	be	AUX
ap-7699	42	25	even	even	ADV
ap-7699	42	26	more	more	ADV
ap-7699	42	27	complicated	complicated	ADJ
ap-7699	42	28	than	than	ADP
ap-7699	42	29	already	already	ADV
ap-7699	42	30	a	a	DET
ap-7699	42	31	coupled	couple	VERB
ap-7699	42	32	system	system	NOUN
ap-7699	42	33	of	of	ADP
ap-7699	42	34	non	non	ADJ
ap-7699	42	35	-	-	ADJ
ap-7699	42	36	linear	linear	ADJ
ap-7699	42	37	partial	partial	ADJ
ap-7699	42	38	differential	differential	NOUN
ap-7699	42	39	equations	equation	NOUN
ap-7699	42	40	for	for	ADP
ap-7699	42	41	the	the	DET
ap-7699	42	42	components	component	NOUN
ap-7699	42	43	of	of	ADP
ap-7699	42	44	the	the	DET
ap-7699	42	45	metric	metric	ADJ
ap-7699	42	46	tensor	tensor	NOUN
ap-7699	42	47	field	field	NOUN
ap-7699	42	48	in	in	ADP
ap-7699	42	49	einstein	einstein	PROPN
ap-7699	42	50	’s	’s	PART
ap-7699	42	51	gravity	gravity	NOUN
ap-7699	42	52	.	.	PUNCT
ap-7699	43	1	however	however	ADV
ap-7699	43	2	,	,	PUNCT
ap-7699	43	3	on	on	ADP
ap-7699	43	4	the	the	DET
ap-7699	43	5	cosmological	cosmological	ADJ
ap-7699	43	6	and	and	CCONJ
ap-7699	43	7	galactic	galactic	ADJ
ap-7699	43	8	scales	scale	VERB
ap-7699	43	9	some	some	DET
ap-7699	43	10	gravitational	gravitational	ADJ
ap-7699	43	11	models	model	NOUN
ap-7699	43	12	with	with	ADP
ap-7699	43	13	higher	high	ADJ
ap-7699	43	14	derivatives	derivative	NOUN
ap-7699	43	15	give	give	VERB
ap-7699	43	16	successes	success	NOUN
ap-7699	43	17	in	in	ADP
ap-7699	43	18	explaining	explain	VERB
ap-7699	43	19	:	:	PUNCT
ap-7699	43	20	the	the	DET
ap-7699	43	21	problem	problem	NOUN
ap-7699	43	22	of	of	ADP
ap-7699	43	23	dark	dark	ADJ
ap-7699	43	24	matter	matter	NOUN
ap-7699	43	25	halos	halo	NOUN
ap-7699	43	26	,	,	PUNCT
ap-7699	43	27	flat	flat	ADJ
ap-7699	43	28	galactic	galactic	ADJ
ap-7699	43	29	rotation	rotation	NOUN
ap-7699	43	30	curves	curve	NOUN
ap-7699	43	31	,	,	PUNCT
ap-7699	43	32	cosmological	cosmological	ADJ
ap-7699	43	33	dark	dark	ADJ
ap-7699	43	34	energy	energy	NOUN
ap-7699	43	35	(	(	PUNCT
ap-7699	43	36	late	late	ADJ
ap-7699	43	37	-	-	PUNCT
ap-7699	43	38	time	time	NOUN
ap-7699	43	39	exponential	exponential	ADJ
ap-7699	43	40	expansion	expansion	NOUN
ap-7699	43	41	of	of	ADP
ap-7699	43	42	the	the	DET
ap-7699	43	43	universe	universe	NOUN
ap-7699	43	44	)	)	PUNCT
ap-7699	43	45	and	and	CCONJ
ap-7699	43	46	also	also	ADV
ap-7699	43	47	primordial	primordial	ADJ
ap-7699	43	48	inflation	inflation	NOUN
ap-7699	43	49	without	without	ADP
ap-7699	43	50	a	a	DET
ap-7699	43	51	necessity	necessity	NOUN
ap-7699	43	52	of	of	ADP
ap-7699	43	53	having	have	VERB
ap-7699	43	54	the	the	DET
ap-7699	43	55	actual	actual	ADJ
ap-7699	43	56	inflaton	inflaton	NOUN
ap-7699	43	57	field	field	NOUN
ap-7699	43	58	.	.	PUNCT
ap-7699	44	1	these	these	PRON
ap-7699	44	2	are	be	AUX
ap-7699	44	3	amongst	amongst	ADP
ap-7699	44	4	all	all	PRON
ap-7699	44	5	of	of	ADP
ap-7699	44	6	observational	observational	ADJ
ap-7699	44	7	pieces	piece	NOUN
ap-7699	44	8	of	of	ADP
ap-7699	44	9	evidence	evidence	NOUN
ap-7699	44	10	that	that	PRON
ap-7699	44	11	can	can	AUX
ap-7699	44	12	be	be	AUX
ap-7699	44	13	taken	take	VERB
ap-7699	44	14	for	for	ADP
ap-7699	44	15	hd	hd	NOUN
ap-7699	44	16	models	model	NOUN
ap-7699	44	17	.	.	PUNCT
ap-7699	45	1	since	since	SCONJ
ap-7699	45	2	our	our	PRON
ap-7699	45	3	work	work	NOUN
ap-7699	45	4	is	be	AUX
ap-7699	45	5	theoretical	theoretical	ADJ
ap-7699	45	6	we	we	PRON
ap-7699	45	7	provide	provide	VERB
ap-7699	45	8	below	below	ADP
ap-7699	45	9	some	some	DET
ap-7699	45	10	conceptual	conceptual	ADJ
ap-7699	45	11	and	and	CCONJ
ap-7699	45	12	consistency	consistency	NOUN
ap-7699	45	13	arguments	argument	NOUN
ap-7699	45	14	for	for	ADP
ap-7699	45	15	hd	hd	NOUN
ap-7699	45	16	gravities	gravity	NOUN
ap-7699	45	17	.	.	PUNCT
ap-7699	46	1	first	first	ADV
ap-7699	46	2	,	,	PUNCT
ap-7699	46	3	still	still	ADV
ap-7699	46	4	on	on	ADP
ap-7699	46	5	the	the	DET
ap-7699	46	6	classical	classical	ADJ
ap-7699	46	7	level	level	NOUN
ap-7699	46	8	,	,	PUNCT
ap-7699	46	9	within	within	ADP
ap-7699	46	10	the	the	DET
ap-7699	46	11	class	class	NOUN
ap-7699	46	12	of	of	ADP
ap-7699	46	13	higher	high	ADJ
ap-7699	46	14	-	-	PUNCT
ap-7699	46	15	derivative	derivative	ADJ
ap-7699	46	16	gravitational	gravitational	ADJ
ap-7699	46	17	theories	theory	NOUN
ap-7699	46	18	,	,	PUNCT
ap-7699	46	19	there	there	PRON
ap-7699	46	20	are	be	VERB
ap-7699	46	21	models	model	NOUN
ap-7699	46	22	that	that	PRON
ap-7699	46	23	are	be	AUX
ap-7699	46	24	the	the	DET
ap-7699	46	25	first	first	ADJ
ap-7699	46	26	,	,	PUNCT
ap-7699	46	27	which	which	PRON
ap-7699	46	28	besides	besides	SCONJ
ap-7699	46	29	relativistic	relativistic	PROPN
ap-7699	46	30	1we	1we	NOUN
ap-7699	46	31	do	do	AUX
ap-7699	46	32	not	not	PART
ap-7699	46	33	need	need	VERB
ap-7699	46	34	to	to	PART
ap-7699	46	35	consider	consider	VERB
ap-7699	46	36	covariant	covariant	ADJ
ap-7699	46	37	derivatives	derivative	NOUN
ap-7699	46	38	on	on	ADP
ap-7699	46	39	the	the	DET
ap-7699	46	40	metric	metric	ADJ
ap-7699	46	41	tensor	tensor	NOUN
ap-7699	46	42	because	because	SCONJ
ap-7699	46	43	of	of	ADP
ap-7699	46	44	the	the	DET
ap-7699	46	45	metricity	metricity	NOUN
ap-7699	46	46	condition	condition	NOUN
ap-7699	46	47	,	,	PUNCT
ap-7699	46	48	∇µgνρ	∇µgνρ	ADJ
ap-7699	46	49	=	=	NOUN
ap-7699	46	50	0	0	X
ap-7699	46	51	.	.	PUNCT
ap-7699	47	1	symmetries	symmetry	NOUN
ap-7699	47	2	,	,	PUNCT
ap-7699	47	3	enjoy	enjoy	AUX
ap-7699	47	4	also	also	ADV
ap-7699	47	5	invariance	invariance	NOUN
ap-7699	47	6	under	under	ADP
ap-7699	47	7	conformal	conformal	ADJ
ap-7699	47	8	symmetry	symmetry	NOUN
ap-7699	47	9	understood	understand	VERB
ap-7699	47	10	in	in	ADP
ap-7699	47	11	the	the	DET
ap-7699	47	12	gr	gr	NOUN
ap-7699	47	13	framework	framework	NOUN
ap-7699	47	14	.	.	PUNCT
ap-7699	48	1	properly	properly	ADV
ap-7699	48	2	this	this	PRON
ap-7699	48	3	is	be	AUX
ap-7699	48	4	called	call	VERB
ap-7699	48	5	as	as	ADP
ap-7699	48	6	weyl	weyl	VERB
ap-7699	48	7	symmetry	symmetry	NOUN
ap-7699	48	8	of	of	ADP
ap-7699	48	9	the	the	DET
ap-7699	48	10	rescaling	rescaling	NOUN
ap-7699	48	11	of	of	ADP
ap-7699	48	12	the	the	DET
ap-7699	48	13	covariant	covariant	ADJ
ap-7699	48	14	metric	metric	PROPN
ap-7699	48	15	tensor	tensor	NOUN
ap-7699	48	16	,	,	PUNCT
ap-7699	48	17	according	accord	VERB
ap-7699	48	18	to	to	ADP
ap-7699	48	19	the	the	DET
ap-7699	48	20	law	law	NOUN
ap-7699	48	21	:	:	PUNCT
ap-7699	48	22	gµν	gµν	NOUN
ap-7699	48	23	→	→	SYM
ap-7699	48	24	ω2gµν	ω2gµν	NUM
ap-7699	48	25	with	with	ADP
ap-7699	48	26	ω	ω	PROPN
ap-7699	48	27	=	=	SYM
ap-7699	48	28	ω(x	ω(x	X
ap-7699	48	29	)	)	PUNCT
ap-7699	48	30	being	be	AUX
ap-7699	48	31	an	an	DET
ap-7699	48	32	arbitrary	arbitrary	ADJ
ap-7699	48	33	scalar	scalar	ADJ
ap-7699	48	34	parameter	parameter	NOUN
ap-7699	48	35	of	of	ADP
ap-7699	48	36	these	these	DET
ap-7699	48	37	transformations	transformation	NOUN
ap-7699	48	38	.	.	PUNCT
ap-7699	49	1	to	to	PART
ap-7699	49	2	understand	understand	VERB
ap-7699	49	3	better	well	ADV
ap-7699	49	4	this	this	DET
ap-7699	49	5	fact	fact	NOUN
ap-7699	49	6	,	,	PUNCT
ap-7699	49	7	one	one	PRON
ap-7699	49	8	may	may	AUX
ap-7699	49	9	first	first	ADV
ap-7699	49	10	recall	recall	VERB
ap-7699	49	11	that	that	SCONJ
ap-7699	49	12	the	the	DET
ap-7699	49	13	metric	metric	ADJ
ap-7699	49	14	tensor	tensor	NOUN
ap-7699	49	15	gµν	gµν	NOUN
ap-7699	49	16	is	be	AUX
ap-7699	49	17	taken	take	VERB
ap-7699	49	18	here	here	ADV
ap-7699	49	19	as	as	ADP
ap-7699	49	20	a	a	DET
ap-7699	49	21	dimensionless	dimensionless	NOUN
ap-7699	49	22	quantity	quantity	NOUN
ap-7699	49	23	and	and	CCONJ
ap-7699	49	24	all	all	DET
ap-7699	49	25	energy	energy	NOUN
ap-7699	49	26	dimensions	dimension	NOUN
ap-7699	49	27	are	be	AUX
ap-7699	49	28	brought	bring	VERB
ap-7699	49	29	only	only	ADV
ap-7699	49	30	by	by	ADP
ap-7699	49	31	partial	partial	ADJ
ap-7699	49	32	derivatives	derivative	NOUN
ap-7699	49	33	acting	act	VERB
ap-7699	49	34	on	on	ADP
ap-7699	49	35	it	it	PRON
ap-7699	49	36	.	.	PUNCT
ap-7699	50	1	next	next	ADV
ap-7699	50	2	,	,	PUNCT
ap-7699	50	3	the	the	DET
ap-7699	50	4	prerequisite	prerequisite	NOUN
ap-7699	50	5	for	for	ADP
ap-7699	50	6	full	full	ADJ
ap-7699	50	7	conformal	conformal	ADJ
ap-7699	50	8	symmetry	symmetry	NOUN
ap-7699	50	9	is	be	AUX
ap-7699	50	10	scale	scale	NOUN
ap-7699	50	11	-	-	PUNCT
ap-7699	50	12	invariance	invariance	NOUN
ap-7699	50	13	of	of	ADP
ap-7699	50	14	the	the	DET
ap-7699	50	15	classical	classical	ADJ
ap-7699	50	16	action	action	NOUN
ap-7699	50	17	,	,	PUNCT
ap-7699	50	18	so	so	CCONJ
ap-7699	50	19	the	the	DET
ap-7699	50	20	absence	absence	NOUN
ap-7699	50	21	of	of	ADP
ap-7699	50	22	any	any	DET
ap-7699	50	23	dimensionful	dimensionful	ADJ
ap-7699	50	24	parameter	parameter	NOUN
ap-7699	50	25	in	in	ADP
ap-7699	50	26	the	the	DET
ap-7699	50	27	definition	definition	NOUN
ap-7699	50	28	of	of	ADP
ap-7699	50	29	the	the	DET
ap-7699	50	30	theory	theory	NOUN
ap-7699	50	31	.	.	PUNCT
ap-7699	51	1	from	from	ADP
ap-7699	51	2	these	these	DET
ap-7699	51	3	facts	fact	NOUN
ap-7699	51	4	,	,	PUNCT
ap-7699	51	5	one	one	NUM
ap-7699	51	6	derives	derive	VERB
ap-7699	51	7	that	that	SCONJ
ap-7699	51	8	in	in	ADP
ap-7699	51	9	four	four	NUM
ap-7699	51	10	spacetime	spacetime	NOUN
ap-7699	51	11	dimensions	dimension	NOUN
ap-7699	51	12	(	(	PUNCT
ap-7699	51	13	d	d	NOUN
ap-7699	51	14	=	=	SYM
ap-7699	51	15	4	4	NUM
ap-7699	51	16	)	)	PUNCT
ap-7699	51	17	the	the	DET
ap-7699	51	18	gravitational	gravitational	ADJ
ap-7699	51	19	conformal	conformal	NOUN
ap-7699	51	20	models	model	NOUN
ap-7699	51	21	must	must	AUX
ap-7699	51	22	possess	possess	VERB
ap-7699	51	23	terms	term	NOUN
ap-7699	51	24	with	with	ADP
ap-7699	51	25	precisely	precisely	ADV
ap-7699	51	26	four	four	NUM
ap-7699	51	27	derivatives	derivative	NOUN
ap-7699	51	28	acting	act	VERB
ap-7699	51	29	on	on	ADP
ap-7699	51	30	the	the	DET
ap-7699	51	31	metric	metric	NOUN
ap-7699	51	32	.	.	PUNCT
ap-7699	52	1	in	in	ADP
ap-7699	52	2	general	general	ADJ
ap-7699	52	3	,	,	PUNCT
ap-7699	52	4	in	in	ADP
ap-7699	52	5	d	d	PROPN
ap-7699	52	6	dimensions	dimension	NOUN
ap-7699	52	7	,	,	PUNCT
ap-7699	52	8	for	for	ADP
ap-7699	52	9	conformal	conformal	ADJ
ap-7699	52	10	gravitational	gravitational	ADJ
ap-7699	52	11	theory	theory	NOUN
ap-7699	52	12	the	the	DET
ap-7699	52	13	classical	classical	ADJ
ap-7699	52	14	action	action	NOUN
ap-7699	52	15	must	must	AUX
ap-7699	52	16	be	be	AUX
ap-7699	52	17	precisely	precisely	ADV
ap-7699	52	18	with	with	ADP
ap-7699	52	19	d	d	ADP
ap-7699	52	20	derivatives	derivative	NOUN
ap-7699	52	21	on	on	ADP
ap-7699	52	22	the	the	DET
ap-7699	52	23	metric	metric	NOUN
ap-7699	52	24	.	.	PUNCT
ap-7699	53	1	(	(	PUNCT
ap-7699	53	2	one	one	NOUN
ap-7699	53	3	sees	see	VERB
ap-7699	53	4	due	due	ADP
ap-7699	53	5	to	to	ADP
ap-7699	53	6	the	the	DET
ap-7699	53	7	requirement	requirement	NOUN
ap-7699	53	8	of	of	ADP
ap-7699	53	9	general	general	ADJ
ap-7699	53	10	covariance	covariance	NOUN
ap-7699	53	11	that	that	SCONJ
ap-7699	53	12	this	this	DET
ap-7699	53	13	consideration	consideration	NOUN
ap-7699	53	14	of	of	ADP
ap-7699	53	15	conformal	conformal	ADJ
ap-7699	53	16	gravitational	gravitational	ADJ
ap-7699	53	17	theories	theory	NOUN
ap-7699	53	18	makes	make	VERB
ap-7699	53	19	sense	sense	NOUN
ap-7699	53	20	only	only	ADV
ap-7699	53	21	in	in	ADP
ap-7699	53	22	even	even	ADV
ap-7699	53	23	dimensions	dimension	NOUN
ap-7699	53	24	d	d	PROPN
ap-7699	53	25	of	of	ADP
ap-7699	53	26	spacetime	spacetime	NOUN
ap-7699	53	27	.	.	PUNCT
ap-7699	53	28	)	)	PUNCT
ap-7699	54	1	another	another	DET
ap-7699	54	2	interesting	interesting	ADJ
ap-7699	54	3	observation	observation	NOUN
ap-7699	54	4	,	,	PUNCT
ap-7699	54	5	is	be	AUX
ap-7699	54	6	that	that	SCONJ
ap-7699	54	7	the	the	DET
ap-7699	54	8	gravitational	gravitational	ADJ
ap-7699	54	9	theory	theory	NOUN
ap-7699	54	10	with	with	ADP
ap-7699	54	11	einstein	einstein	ADJ
ap-7699	54	12	-	-	PUNCT
ap-7699	54	13	hilbert	hilbert	NOUN
ap-7699	54	14	action	action	NOUN
ap-7699	54	15	is	be	AUX
ap-7699	54	16	classically	classically	ADV
ap-7699	54	17	conformally	conformally	ADV
ap-7699	54	18	invariant	invariant	ADJ
ap-7699	54	19	only	only	ADV
ap-7699	54	20	in	in	ADP
ap-7699	54	21	two	two	NUM
ap-7699	54	22	-	-	PUNCT
ap-7699	54	23	dimensional	dimensional	ADJ
ap-7699	54	24	framework	framework	NOUN
ap-7699	54	25	.	.	PUNCT
ap-7699	55	1	for	for	ADP
ap-7699	55	2	4dimensional	4dimensional	PROPN
ap-7699	55	3	scale	scale	NOUN
ap-7699	55	4	-	-	PUNCT
ap-7699	55	5	invariant	invariant	ADJ
ap-7699	55	6	gravitational	gravitational	ADJ
ap-7699	55	7	theory	theory	NOUN
ap-7699	55	8	one	one	PRON
ap-7699	55	9	must	must	AUX
ap-7699	55	10	use	use	VERB
ap-7699	55	11	a	a	DET
ap-7699	55	12	combination	combination	NOUN
ap-7699	55	13	of	of	ADP
ap-7699	55	14	the	the	DET
ap-7699	55	15	squares	square	NOUN
ap-7699	55	16	of	of	ADP
ap-7699	55	17	the	the	DET
ap-7699	55	18	riemann	riemann	PROPN
ap-7699	55	19	tensors	tensor	NOUN
ap-7699	55	20	and	and	CCONJ
ap-7699	55	21	various	various	ADJ
ap-7699	55	22	contractions	contraction	NOUN
ap-7699	55	23	thereof	thereof	ADV
ap-7699	55	24	.	.	PUNCT
ap-7699	56	1	(	(	PUNCT
ap-7699	56	2	the	the	DET
ap-7699	56	3	term	term	NOUN
ap-7699	56	4	□	□	PUNCT
ap-7699	56	5	r	r	NOUN
ap-7699	56	6	is	be	AUX
ap-7699	56	7	trivially	trivially	ADV
ap-7699	56	8	a	a	DET
ap-7699	56	9	total	total	ADJ
ap-7699	56	10	derivative	derivative	ADJ
ap-7699	56	11	term	term	NOUN
ap-7699	56	12	,	,	PUNCT
ap-7699	56	13	so	so	ADV
ap-7699	56	14	can	can	AUX
ap-7699	56	15	not	not	PART
ap-7699	56	16	be	be	AUX
ap-7699	56	17	used	use	VERB
ap-7699	56	18	.	.	PUNCT
ap-7699	56	19	)	)	PUNCT
ap-7699	57	1	therefore	therefore	ADV
ap-7699	57	2	for	for	ADP
ap-7699	57	3	d	d	ADJ
ap-7699	57	4	-	-	ADJ
ap-7699	57	5	dimensional	dimensional	ADJ
ap-7699	57	6	conformal	conformal	ADJ
ap-7699	57	7	gravitational	gravitational	ADJ
ap-7699	57	8	theories	theory	NOUN
ap-7699	57	9	(	(	PUNCT
ap-7699	57	10	d	d	X
ap-7699	57	11	>	>	X
ap-7699	57	12	2	2	X
ap-7699	57	13	)	)	PUNCT
ap-7699	57	14	we	we	PRON
ap-7699	57	15	inevitably	inevitably	ADV
ap-7699	57	16	must	must	AUX
ap-7699	57	17	consider	consider	VERB
ap-7699	57	18	hd	hd	VERB
ap-7699	57	19	metric	metric	ADJ
ap-7699	57	20	theories	theory	NOUN
ap-7699	57	21	.	.	PUNCT
ap-7699	58	1	the	the	DET
ap-7699	58	2	conformally	conformally	ADV
ap-7699	58	3	invariant	invariant	ADJ
ap-7699	58	4	gravitational	gravitational	ADJ
ap-7699	58	5	dynamics	dynamic	NOUN
ap-7699	58	6	is	be	AUX
ap-7699	58	7	very	very	ADV
ap-7699	58	8	special	special	ADJ
ap-7699	58	9	both	both	CCONJ
ap-7699	58	10	on	on	ADP
ap-7699	58	11	the	the	DET
ap-7699	58	12	classical	classical	ADJ
ap-7699	58	13	level	level	NOUN
ap-7699	58	14	and	and	CCONJ
ap-7699	58	15	also	also	ADV
ap-7699	58	16	on	on	ADP
ap-7699	58	17	the	the	DET
ap-7699	58	18	quantum	quantum	ADJ
ap-7699	58	19	level	level	NOUN
ap-7699	58	20	as	as	SCONJ
ap-7699	58	21	we	we	PRON
ap-7699	58	22	will	will	AUX
ap-7699	58	23	see	see	VERB
ap-7699	58	24	in	in	ADP
ap-7699	58	25	the	the	DET
ap-7699	58	26	next	next	ADJ
ap-7699	58	27	sections	section	NOUN
ap-7699	58	28	.	.	PUNCT
ap-7699	59	1	the	the	DET
ap-7699	59	2	main	main	ADJ
ap-7699	59	3	arguments	argument	NOUN
ap-7699	59	4	for	for	ADP
ap-7699	59	5	higher	high	ADJ
ap-7699	59	6	-	-	PUNCT
ap-7699	59	7	derivative	derivative	ADJ
ap-7699	59	8	gravitational	gravitational	ADJ
ap-7699	59	9	theories	theory	NOUN
ap-7699	59	10	in	in	ADP
ap-7699	59	11	dimensions	dimension	NOUN
ap-7699	59	12	d	d	X
ap-7699	59	13	>	>	X
ap-7699	59	14	2	2	NUM
ap-7699	59	15	come	come	VERB
ap-7699	59	16	instead	instead	ADV
ap-7699	59	17	from	from	ADP
ap-7699	59	18	quantum	quantum	ADJ
ap-7699	59	19	considerations	consideration	NOUN
ap-7699	59	20	.	.	PUNCT
ap-7699	60	1	after	after	ADV
ap-7699	60	2	all	all	ADV
ap-7699	60	3	,	,	PUNCT
ap-7699	60	4	it	it	PRON
ap-7699	60	5	is	be	AUX
ap-7699	60	6	not	not	PART
ap-7699	60	7	so	so	ADV
ap-7699	60	8	surprising	surprising	ADJ
ap-7699	60	9	that	that	SCONJ
ap-7699	60	10	it	it	PRON
ap-7699	60	11	is	be	AUX
ap-7699	60	12	the	the	DET
ap-7699	60	13	quantum	quantum	NOUN
ap-7699	60	14	coupling	coupling	NOUN
ap-7699	60	15	between	between	ADP
ap-7699	60	16	quantum	quantum	ADJ
ap-7699	60	17	field	field	NOUN
ap-7699	60	18	theory	theory	NOUN
ap-7699	60	19	(	(	PUNCT
ap-7699	60	20	qft	qft	PROPN
ap-7699	60	21	)	)	PUNCT
ap-7699	60	22	of	of	ADP
ap-7699	60	23	matter	matter	NOUN
ap-7699	60	24	fields	field	NOUN
ap-7699	60	25	and	and	CCONJ
ap-7699	60	26	quantum	quantum	NOUN
ap-7699	60	27	(	(	PUNCT
ap-7699	60	28	or	or	CCONJ
ap-7699	60	29	semi	semi	ADJ
ap-7699	60	30	-	-	ADJ
ap-7699	60	31	classical	classical	ADJ
ap-7699	60	32	)	)	PUNCT
ap-7699	60	33	gravity	gravity	NOUN
ap-7699	60	34	or	or	CCONJ
ap-7699	60	35	self	self	NOUN
ap-7699	60	36	-	-	PUNCT
ap-7699	60	37	interactions	interaction	NOUN
ap-7699	60	38	within	within	ADP
ap-7699	60	39	pure	pure	ADJ
ap-7699	60	40	quantum	quantum	ADJ
ap-7699	60	41	gravity	gravity	NOUN
ap-7699	60	42	that	that	PRON
ap-7699	60	43	dictates	dictate	VERB
ap-7699	60	44	what	what	PRON
ap-7699	60	45	should	should	AUX
ap-7699	60	46	be	be	AUX
ap-7699	60	47	a	a	DET
ap-7699	60	48	consistent	consistent	ADJ
ap-7699	60	49	quantum	quantum	NOUN
ap-7699	60	50	theory	theory	NOUN
ap-7699	60	51	of	of	ADP
ap-7699	60	52	gravitational	gravitational	ADJ
ap-7699	60	53	interactions	interaction	NOUN
ap-7699	60	54	.	.	PUNCT
ap-7699	61	1	our	our	PRON
ap-7699	61	2	initial	initial	ADJ
ap-7699	61	3	guess	guess	NOUN
ap-7699	61	4	(	(	PUNCT
ap-7699	61	5	actually	actually	ADV
ap-7699	61	6	einstein	einstein	PROPN
ap-7699	61	7	’s	’s	PART
ap-7699	61	8	one	one	NUM
ap-7699	61	9	)	)	PUNCT
ap-7699	61	10	might	might	AUX
ap-7699	61	11	not	not	PART
ap-7699	61	12	be	be	AUX
ap-7699	61	13	the	the	DET
ap-7699	61	14	best	good	ADJ
ap-7699	61	15	one	one	NUM
ap-7699	61	16	when	when	SCONJ
ap-7699	61	17	quantum	quantum	ADJ
ap-7699	61	18	effects	effect	NOUN
ap-7699	61	19	are	be	AUX
ap-7699	61	20	taken	take	VERB
ap-7699	61	21	fully	fully	ADV
ap-7699	61	22	into	into	ADP
ap-7699	61	23	account	account	NOUN
ap-7699	61	24	.	.	PUNCT
ap-7699	62	1	since	since	SCONJ
ap-7699	62	2	it	it	PRON
ap-7699	62	3	is	be	AUX
ap-7699	62	4	the	the	DET
ap-7699	62	5	classical	classical	ADJ
ap-7699	62	6	theory	theory	NOUN
ap-7699	62	7	that	that	PRON
ap-7699	62	8	is	be	AUX
ap-7699	62	9	emergent	emergent	ADJ
ap-7699	62	10	from	from	ADP
ap-7699	62	11	the	the	DET
ap-7699	62	12	more	more	ADV
ap-7699	62	13	fundamental	fundamental	ADJ
ap-7699	62	14	quantum	quantum	ADJ
ap-7699	62	15	one	one	NOUN
ap-7699	62	16	working	work	VERB
ap-7699	62	17	not	not	PART
ap-7699	62	18	only	only	ADV
ap-7699	62	19	in	in	ADP
ap-7699	62	20	the	the	DET
ap-7699	62	21	microworld	microworld	NOUN
ap-7699	62	22	,	,	PUNCT
ap-7699	62	23	but	but	CCONJ
ap-7699	62	24	at	at	ADP
ap-7699	62	25	all	all	DET
ap-7699	62	26	energy	energy	NOUN
ap-7699	62	27	scales	scale	NOUN
ap-7699	62	28	(	(	PUNCT
ap-7699	62	29	equivalent	equivalent	ADJ
ap-7699	62	30	to	to	ADP
ap-7699	62	31	various	various	ADJ
ap-7699	62	32	distances	distance	NOUN
ap-7699	62	33	)	)	PUNCT
ap-7699	62	34	,	,	PUNCT
ap-7699	62	35	then	then	ADV
ap-7699	62	36	the	the	DET
ap-7699	62	37	underlying	underlying	ADJ
ap-7699	62	38	fundamental	fundamental	ADJ
ap-7699	62	39	quantum	quantum	NOUN
ap-7699	62	40	theory	theory	NOUN
ap-7699	62	41	must	must	AUX
ap-7699	62	42	necessarily	necessarily	ADV
ap-7699	62	43	be	be	AUX
ap-7699	62	44	mathematically	mathematically	ADV
ap-7699	62	45	consistent	consistent	ADJ
ap-7699	62	46	,	,	PUNCT
ap-7699	62	47	while	while	SCONJ
ap-7699	62	48	some	some	DET
ap-7699	62	49	different	different	ADJ
ap-7699	62	50	classical	classical	ADJ
ap-7699	62	51	theories	theory	NOUN
ap-7699	62	52	may	may	AUX
ap-7699	62	53	not	not	PART
ap-7699	62	54	possess	possess	VERB
ap-7699	62	55	the	the	DET
ap-7699	62	56	same	same	ADJ
ap-7699	62	57	strong	strong	ADJ
ap-7699	62	58	feature	feature	NOUN
ap-7699	62	59	.	.	PUNCT
ap-7699	63	1	already	already	ADV
ap-7699	63	2	here	here	ADV
ap-7699	63	3	we	we	PRON
ap-7699	63	4	turn	turn	VERB
ap-7699	63	5	the	the	DET
ap-7699	63	6	reader	reader	NOUN
ap-7699	63	7	’s	’s	PART
ap-7699	63	8	attention	attention	NOUN
ap-7699	63	9	to	to	ADP
ap-7699	63	10	the	the	DET
ap-7699	63	11	fact	fact	NOUN
ap-7699	63	12	that	that	SCONJ
ap-7699	63	13	the	the	DET
ap-7699	63	14	purely	purely	ADV
ap-7699	63	15	mathematical	mathematical	ADJ
ap-7699	63	16	requirement	requirement	NOUN
ap-7699	63	17	of	of	ADP
ap-7699	63	18	the	the	DET
ap-7699	63	19	consistency	consistency	NOUN
ap-7699	63	20	on	on	ADP
ap-7699	63	21	the	the	DET
ap-7699	63	22	quantum	quantum	ADJ
ap-7699	63	23	level	level	NOUN
ap-7699	63	24	of	of	ADP
ap-7699	63	25	gravitational	gravitational	ADJ
ap-7699	63	26	self	self	NOUN
ap-7699	63	27	-	-	PUNCT
ap-7699	63	28	interactions	interaction	NOUN
ap-7699	63	29	is	be	AUX
ap-7699	63	30	very	very	ADV
ap-7699	63	31	strongly	strongly	ADV
ap-7699	63	32	constraining	constrain	VERB
ap-7699	63	33	the	the	DET
ap-7699	63	34	possibilities	possibility	NOUN
ap-7699	63	35	for	for	ADP
ap-7699	63	36	quantum	quantum	ADJ
ap-7699	63	37	gravitational	gravitational	ADJ
ap-7699	63	38	theories	theory	NOUN
ap-7699	63	39	.	.	PUNCT
ap-7699	64	1	it	it	PRON
ap-7699	64	2	is	be	AUX
ap-7699	64	3	more	more	ADV
ap-7699	64	4	constraining	constrain	VERB
ap-7699	64	5	than	than	SCONJ
ap-7699	64	6	it	it	PRON
ap-7699	64	7	was	be	AUX
ap-7699	64	8	originally	originally	ADV
ap-7699	64	9	thought	think	VERB
ap-7699	64	10	of	of	ADP
ap-7699	64	11	.	.	PUNCT
ap-7699	65	1	moreover	moreover	ADV
ap-7699	65	2	,	,	PUNCT
ap-7699	65	3	not	not	PART
ap-7699	65	4	all	all	PRON
ap-7699	65	5	macroscopic	macroscopic	ADJ
ap-7699	65	6	,	,	PUNCT
ap-7699	65	7	so	so	ADV
ap-7699	65	8	119	119	NUM
ap-7699	65	9	lesław	lesław	PROPN
ap-7699	65	10	rachwał	rachwał	PROPN
ap-7699	65	11	acta	acta	PROPN
ap-7699	65	12	polytechnica	polytechnica	PROPN
ap-7699	65	13	long	long	ADJ
ap-7699	65	14	wavelength	wavelength	NOUN
ap-7699	65	15	limit	limit	NOUN
ap-7699	65	16	,	,	PUNCT
ap-7699	65	17	classical	classical	ADJ
ap-7699	65	18	theories	theory	NOUN
ap-7699	65	19	are	be	AUX
ap-7699	65	20	with	with	ADP
ap-7699	65	21	these	these	DET
ap-7699	65	22	quantum	quantum	ADJ
ap-7699	65	23	correspondence	correspondence	NOUN
ap-7699	65	24	features	feature	NOUN
ap-7699	65	25	,	,	PUNCT
ap-7699	65	26	only	only	ADV
ap-7699	65	27	those	those	PRON
ap-7699	65	28	which	which	PRON
ap-7699	65	29	emerge	emerge	VERB
ap-7699	65	30	as	as	ADP
ap-7699	65	31	classical	classical	ADJ
ap-7699	65	32	limits	limit	NOUN
ap-7699	65	33	of	of	ADP
ap-7699	65	34	consistent	consistent	ADJ
ap-7699	65	35	quantum	quantum	NOUN
ap-7699	65	36	gravity	gravity	NOUN
ap-7699	65	37	theories	theory	NOUN
ap-7699	65	38	.	.	PUNCT
ap-7699	66	1	following	follow	VERB
ap-7699	66	2	this	this	DET
ap-7699	66	3	path	path	NOUN
ap-7699	66	4	,	,	PUNCT
ap-7699	66	5	at	at	ADP
ap-7699	66	6	the	the	DET
ap-7699	66	7	end	end	NOUN
ap-7699	66	8	,	,	PUNCT
ap-7699	66	9	we	we	PRON
ap-7699	66	10	must	must	AUX
ap-7699	66	11	also	also	ADV
ap-7699	66	12	correct	correct	VERB
ap-7699	66	13	our	our	PRON
ap-7699	66	14	classical	classical	ADJ
ap-7699	66	15	gravitational	gravitational	ADJ
ap-7699	66	16	theory	theory	NOUN
ap-7699	66	17	,	,	PUNCT
ap-7699	66	18	and	and	CCONJ
ap-7699	66	19	likely	likely	ADV
ap-7699	66	20	it	it	PRON
ap-7699	66	21	will	will	AUX
ap-7699	66	22	not	not	PART
ap-7699	66	23	be	be	AUX
ap-7699	66	24	einsteinian	einsteinian	ADJ
ap-7699	66	25	gravity	gravity	NOUN
ap-7699	66	26	any	any	PRON
ap-7699	66	27	more	more	ADV
ap-7699	66	28	.	.	PUNCT
ap-7699	67	1	from	from	ADP
ap-7699	67	2	a	a	DET
ap-7699	67	3	different	different	ADJ
ap-7699	67	4	side	side	NOUN
ap-7699	67	5	,	,	PUNCT
ap-7699	67	6	we	we	PRON
ap-7699	67	7	know	know	VERB
ap-7699	67	8	that	that	SCONJ
ap-7699	67	9	matter	matter	NOUN
ap-7699	67	10	fields	field	NOUN
ap-7699	67	11	are	be	AUX
ap-7699	67	12	quantum	quantum	ADJ
ap-7699	67	13	,	,	PUNCT
ap-7699	67	14	they	they	PRON
ap-7699	67	15	interact	interact	VERB
ap-7699	67	16	and	and	CCONJ
ap-7699	67	17	they	they	PRON
ap-7699	67	18	are	be	AUX
ap-7699	67	19	energetic	energetic	ADJ
ap-7699	67	20	,	,	PUNCT
ap-7699	67	21	so	so	SCONJ
ap-7699	67	22	they	they	PRON
ap-7699	67	23	are	be	AUX
ap-7699	67	24	“	"	PUNCT
ap-7699	67	25	charged	charge	VERB
ap-7699	67	26	”	"	PUNCT
ap-7699	67	27	under	under	ADP
ap-7699	67	28	gravitation	gravitation	NOUN
ap-7699	67	29	since	since	SCONJ
ap-7699	67	30	energymomentum	energymomentum	NOUN
ap-7699	67	31	content	content	NOUN
ap-7699	67	32	is	be	AUX
ap-7699	67	33	what	what	PRON
ap-7699	67	34	the	the	DET
ap-7699	67	35	gravity	gravity	NOUN
ap-7699	67	36	couples	couple	VERB
ap-7699	67	37	to	to	ADP
ap-7699	67	38	.	.	PUNCT
ap-7699	68	1	if	if	SCONJ
ap-7699	68	2	we	we	PRON
ap-7699	68	3	did	do	AUX
ap-7699	68	4	not	not	PART
ap-7699	68	5	know	know	VERB
ap-7699	68	6	nothing	nothing	PRON
ap-7699	68	7	about	about	ADP
ap-7699	68	8	gravity	gravity	NOUN
ap-7699	68	9	,	,	PUNCT
ap-7699	68	10	then	then	ADV
ap-7699	68	11	we	we	PRON
ap-7699	68	12	could	could	AUX
ap-7699	68	13	discover	discover	VERB
ap-7699	68	14	something	something	PRON
ap-7699	68	15	about	about	ADP
ap-7699	68	16	it	it	PRON
ap-7699	68	17	from	from	ADP
ap-7699	68	18	quantum	quantum	ADJ
ap-7699	68	19	considerations	consideration	NOUN
ap-7699	68	20	of	of	ADP
ap-7699	68	21	gravitationally	gravitationally	NOUN
ap-7699	68	22	“	"	PUNCT
ap-7699	68	23	charged	charge	VERB
ap-7699	68	24	”	"	PUNCT
ap-7699	68	25	matter	matter	NOUN
ap-7699	68	26	fields	field	NOUN
ap-7699	68	27	and	and	CCONJ
ap-7699	68	28	their	their	PRON
ap-7699	68	29	mutual	mutual	ADJ
ap-7699	68	30	interactions	interaction	NOUN
ap-7699	68	31	consistent	consistent	ADJ
ap-7699	68	32	with	with	ADP
ap-7699	68	33	quantum	quantum	ADJ
ap-7699	68	34	mechanics	mechanic	NOUN
ap-7699	68	35	.	.	PUNCT
ap-7699	69	1	in	in	ADP
ap-7699	69	2	this	this	DET
ap-7699	69	3	way	way	NOUN
ap-7699	69	4	we	we	PRON
ap-7699	69	5	could	could	AUX
ap-7699	69	6	make	make	VERB
ap-7699	69	7	gravity	gravity	NOUN
ap-7699	69	8	dynamical	dynamical	ADJ
ap-7699	69	9	and	and	CCONJ
ap-7699	69	10	quantum	quantum	NOUN
ap-7699	69	11	with	with	ADP
ap-7699	69	12	a	a	DET
ap-7699	69	13	proper	proper	ADJ
ap-7699	69	14	form	form	NOUN
ap-7699	69	15	of	of	ADP
ap-7699	69	16	graviton	graviton	NOUN
ap-7699	69	17	’s	’s	PART
ap-7699	69	18	propagation	propagation	NOUN
ap-7699	69	19	.	.	PUNCT
ap-7699	70	1	actually	actually	ADV
ap-7699	70	2	,	,	PUNCT
ap-7699	70	3	it	it	PRON
ap-7699	70	4	is	be	AUX
ap-7699	70	5	the	the	DET
ap-7699	70	6	quantum	quantum	ADJ
ap-7699	70	7	consideration	consideration	NOUN
ap-7699	70	8	that	that	PRON
ap-7699	70	9	makes	make	VERB
ap-7699	70	10	the	the	DET
ap-7699	70	11	gauge	gauge	ADJ
ap-7699	70	12	bosons	boson	NOUN
ap-7699	70	13	mediating	mediate	VERB
ap-7699	70	14	the	the	DET
ap-7699	70	15	interactions	interaction	NOUN
ap-7699	70	16	between	between	ADP
ap-7699	70	17	quantum	quantum	NOUN
ap-7699	70	18	charged	charge	VERB
ap-7699	70	19	particles	particle	NOUN
ap-7699	70	20	dynamical	dynamical	ADJ
ap-7699	70	21	.	.	PUNCT
ap-7699	71	1	these	these	DET
ap-7699	71	2	gauge	gauge	ADJ
ap-7699	71	3	bosons	boson	NOUN
ap-7699	71	4	are	be	AUX
ap-7699	71	5	emanations	emanation	NOUN
ap-7699	71	6	or	or	CCONJ
ap-7699	71	7	quantum	quantum	NOUN
ap-7699	71	8	realizations	realization	NOUN
ap-7699	71	9	of	of	ADP
ap-7699	71	10	classical	classical	ADJ
ap-7699	71	11	dynamical	dynamical	ADJ
ap-7699	71	12	gauge	gauge	NOUN
ap-7699	71	13	fields	field	NOUN
ap-7699	71	14	that	that	PRON
ap-7699	71	15	must	must	AUX
ap-7699	71	16	be	be	AUX
ap-7699	71	17	introduced	introduce	VERB
ap-7699	71	18	in	in	ADP
ap-7699	71	19	the	the	DET
ap-7699	71	20	classical	classical	ADJ
ap-7699	71	21	dynamics	dynamic	NOUN
ap-7699	71	22	of	of	ADP
ap-7699	71	23	matter	matter	NOUN
ap-7699	71	24	fields	field	NOUN
ap-7699	71	25	or	or	CCONJ
ap-7699	71	26	particles	particle	NOUN
ap-7699	71	27	for	for	ADP
ap-7699	71	28	the	the	DET
ap-7699	71	29	overall	overall	ADJ
ap-7699	71	30	consistency	consistency	NOUN
ap-7699	71	31	.	.	PUNCT
ap-7699	72	1	below	below	ADP
ap-7699	72	2	we	we	PRON
ap-7699	72	3	will	will	AUX
ap-7699	72	4	present	present	VERB
ap-7699	72	5	a	a	DET
ap-7699	72	6	few	few	ADJ
ap-7699	72	7	detailed	detailed	ADJ
ap-7699	72	8	arguments	argument	NOUN
ap-7699	72	9	why	why	SCONJ
ap-7699	72	10	we	we	PRON
ap-7699	72	11	need	need	VERB
ap-7699	72	12	hd	hd	NOUN
ap-7699	72	13	gravities	gravity	NOUN
ap-7699	72	14	in	in	ADP
ap-7699	72	15	d	d	PROPN
ap-7699	72	16	>	>	X
ap-7699	72	17	2	2	NUM
ap-7699	72	18	giving	give	VERB
ap-7699	72	19	rise	rise	NOUN
ap-7699	72	20	to	to	ADP
ap-7699	72	21	dynamical	dynamical	ADJ
ap-7699	72	22	gravitational	gravitational	ADJ
ap-7699	72	23	fields	field	NOUN
ap-7699	72	24	with	with	ADP
ap-7699	72	25	hd	hd	NOUN
ap-7699	72	26	form	form	NOUN
ap-7699	72	27	of	of	ADP
ap-7699	72	28	the	the	DET
ap-7699	72	29	graviton	graviton	NOUN
ap-7699	72	30	’s	’s	PART
ap-7699	72	31	propagators	propagator	NOUN
ap-7699	72	32	in	in	ADP
ap-7699	72	33	the	the	DET
ap-7699	72	34	quantum	quantum	ADJ
ap-7699	72	35	domain	domain	NOUN
ap-7699	72	36	.	.	PUNCT
ap-7699	73	1	they	they	PRON
ap-7699	73	2	are	be	AUX
ap-7699	73	3	all	all	ADV
ap-7699	73	4	related	related	ADJ
ap-7699	73	5	and	and	CCONJ
ap-7699	73	6	in	in	ADP
ap-7699	73	7	a	a	DET
ap-7699	73	8	sense	sense	NOUN
ap-7699	73	9	all	all	DET
ap-7699	73	10	touch	touch	NOUN
ap-7699	73	11	upon	upon	SCONJ
ap-7699	73	12	the	the	DET
ap-7699	73	13	issue	issue	NOUN
ap-7699	73	14	of	of	ADP
ap-7699	73	15	coupling	coupling	NOUN
ap-7699	73	16	of	of	ADP
ap-7699	73	17	a	a	DET
ap-7699	73	18	potential	potential	ADJ
ap-7699	73	19	unknown	unknown	ADJ
ap-7699	73	20	dynamical	dynamical	ADJ
ap-7699	73	21	quantum	quantum	NOUN
ap-7699	73	22	gravity	gravity	NOUN
ap-7699	73	23	theory	theory	NOUN
ap-7699	73	24	to	to	ADP
ap-7699	73	25	some	some	DET
ap-7699	73	26	energetic	energetic	ADJ
ap-7699	73	27	quantum	quantum	NOUN
ap-7699	73	28	matter	matter	NOUN
ap-7699	73	29	fields	field	NOUN
ap-7699	73	30	moving	move	VERB
ap-7699	73	31	under	under	ADP
ap-7699	73	32	the	the	DET
ap-7699	73	33	influence	influence	NOUN
ap-7699	73	34	of	of	ADP
ap-7699	73	35	classical	classical	ADJ
ap-7699	73	36	initially	initially	ADV
ap-7699	73	37	non	non	ADJ
ap-7699	73	38	-	-	ADJ
ap-7699	73	39	dynamical	dynamical	ADJ
ap-7699	73	40	gravitational	gravitational	ADJ
ap-7699	73	41	background	background	NOUN
ap-7699	73	42	field	field	NOUN
ap-7699	73	43	.	.	PUNCT
ap-7699	74	1	(	(	PUNCT
ap-7699	74	2	the	the	DET
ap-7699	74	3	background	background	NOUN
ap-7699	74	4	gravitational	gravitational	ADJ
ap-7699	74	5	field	field	NOUN
ap-7699	74	6	does	do	AUX
ap-7699	74	7	not	not	PART
ap-7699	74	8	have	have	VERB
ap-7699	74	9	to	to	PART
ap-7699	74	10	be	be	AUX
ap-7699	74	11	static	static	ADJ
ap-7699	74	12	,	,	PUNCT
ap-7699	74	13	stationary	stationary	ADJ
ap-7699	74	14	or	or	CCONJ
ap-7699	74	15	completely	completely	ADV
ap-7699	74	16	time	time	NOUN
ap-7699	74	17	-	-	PUNCT
ap-7699	74	18	independent	independent	ADJ
ap-7699	74	19	,	,	PUNCT
ap-7699	74	20	what	what	PRON
ap-7699	74	21	we	we	PRON
ap-7699	74	22	only	only	ADV
ap-7699	74	23	require	require	VERB
ap-7699	74	24	here	here	ADV
ap-7699	74	25	is	be	AUX
ap-7699	74	26	that	that	SCONJ
ap-7699	74	27	it	it	PRON
ap-7699	74	28	is	be	AUX
ap-7699	74	29	not	not	PART
ap-7699	74	30	a	a	DET
ap-7699	74	31	dynamical	dynamical	ADJ
ap-7699	74	32	one	one	NOUN
ap-7699	74	33	.	.	PUNCT
ap-7699	74	34	)	)	PUNCT
ap-7699	75	1	these	these	DET
ap-7699	75	2	last	last	ADJ
ap-7699	75	3	classical	classical	ADJ
ap-7699	75	4	fields	field	NOUN
ap-7699	75	5	can	can	AUX
ap-7699	75	6	be	be	AUX
ap-7699	75	7	understood	understand	VERB
ap-7699	75	8	as	as	ADP
ap-7699	75	9	frozen	frozen	ADJ
ap-7699	75	10	expectation	expectation	NOUN
ap-7699	75	11	values	value	NOUN
ap-7699	75	12	of	of	ADP
ap-7699	75	13	some	some	DET
ap-7699	75	14	dynamical	dynamical	ADJ
ap-7699	75	15	quantum	quantum	ADJ
ap-7699	75	16	gravitational	gravitational	ADJ
ap-7699	75	17	fields	field	NOUN
ap-7699	75	18	.	.	PUNCT
ap-7699	76	1	as	as	SCONJ
ap-7699	76	2	one	one	PRON
ap-7699	76	3	can	can	AUX
ap-7699	76	4	imagine	imagine	VERB
ap-7699	76	5	for	for	ADP
ap-7699	76	6	this	this	DET
ap-7699	76	7	process	process	NOUN
ap-7699	76	8	of	of	ADP
ap-7699	76	9	quantum	quantum	NOUN
ap-7699	76	10	balancing	balancing	NOUN
ap-7699	76	11	of	of	ADP
ap-7699	76	12	interactions	interaction	NOUN
ap-7699	76	13	the	the	DET
ap-7699	76	14	issue	issue	NOUN
ap-7699	76	15	of	of	ADP
ap-7699	76	16	back	back	NOUN
ap-7699	76	17	-	-	PUNCT
ap-7699	76	18	reaction	reaction	NOUN
ap-7699	76	19	of	of	ADP
ap-7699	76	20	quantum	quantum	NOUN
ap-7699	76	21	matter	matter	NOUN
ap-7699	76	22	fields	field	NOUN
ap-7699	76	23	on	on	ADP
ap-7699	76	24	the	the	DET
ap-7699	76	25	classical	classical	ADJ
ap-7699	76	26	non	non	ADJ
ap-7699	76	27	-	-	ADJ
ap-7699	76	28	dynamical	dynamical	ADJ
ap-7699	76	29	geometry	geometry	NOUN
ap-7699	76	30	is	be	AUX
ap-7699	76	31	essential	essential	ADJ
ap-7699	76	32	.	.	PUNCT
ap-7699	77	1	firstly	firstly	ADV
ap-7699	77	2	,	,	PUNCT
ap-7699	77	3	we	we	PRON
ap-7699	77	4	recall	recall	VERB
ap-7699	77	5	the	the	DET
ap-7699	77	6	argument	argument	NOUN
ap-7699	77	7	of	of	ADP
ap-7699	77	8	dewitt	dewitt	PROPN
ap-7699	77	9	and	and	CCONJ
ap-7699	77	10	utiyama	utiyama	PROPN
ap-7699	78	1	[	[	X
ap-7699	78	2	4	4	NUM
ap-7699	78	3	]	]	PUNCT
ap-7699	78	4	.	.	PUNCT
ap-7699	79	1	due	due	ADP
ap-7699	79	2	to	to	ADP
ap-7699	79	3	quantum	quantum	NOUN
ap-7699	79	4	matter	matter	NOUN
ap-7699	79	5	loops	loop	VERB
ap-7699	79	6	some	some	DET
ap-7699	79	7	uv	uv	NOUN
ap-7699	79	8	divergences	divergence	NOUN
ap-7699	79	9	in	in	ADP
ap-7699	79	10	the	the	DET
ap-7699	79	11	gravitational	gravitational	ADJ
ap-7699	79	12	sector	sector	NOUN
ap-7699	79	13	are	be	AUX
ap-7699	79	14	generated	generate	VERB
ap-7699	79	15	.	.	PUNCT
ap-7699	80	1	this	this	PRON
ap-7699	80	2	is	be	AUX
ap-7699	80	3	so	so	ADV
ap-7699	80	4	even	even	ADV
ap-7699	80	5	if	if	SCONJ
ap-7699	80	6	the	the	DET
ap-7699	80	7	original	original	ADJ
ap-7699	80	8	matter	matter	NOUN
ap-7699	80	9	theory	theory	NOUN
ap-7699	80	10	is	be	AUX
ap-7699	80	11	with	with	ADP
ap-7699	80	12	two	two	NUM
ap-7699	80	13	-	-	PUNCT
ap-7699	80	14	derivative	derivative	ADJ
ap-7699	80	15	actions	action	NOUN
ap-7699	80	16	(	(	PUNCT
ap-7699	80	17	like	like	ADP
ap-7699	80	18	for	for	ADP
ap-7699	80	19	example	example	NOUN
ap-7699	80	20	standard	standard	ADJ
ap-7699	80	21	model	model	NOUN
ap-7699	80	22	of	of	ADP
ap-7699	80	23	particle	particle	NOUN
ap-7699	80	24	physics	physics	PROPN
ap-7699	80	25	)	)	PUNCT
ap-7699	80	26	.	.	PUNCT
ap-7699	81	1	the	the	DET
ap-7699	81	2	reasons	reason	NOUN
ap-7699	81	3	for	for	ADP
ap-7699	81	4	these	these	DET
ap-7699	81	5	divergences	divergence	NOUN
ap-7699	81	6	are	be	AUX
ap-7699	81	7	pictorially	pictorially	ADV
ap-7699	81	8	feynman	feynman	ADJ
ap-7699	81	9	diagrams	diagram	NOUN
ap-7699	81	10	with	with	ADP
ap-7699	81	11	quantum	quantum	NOUN
ap-7699	81	12	matter	matter	NOUN
ap-7699	81	13	fields	field	NOUN
ap-7699	81	14	running	run	VERB
ap-7699	81	15	in	in	ADP
ap-7699	81	16	the	the	DET
ap-7699	81	17	perturbative	perturbative	ADJ
ap-7699	81	18	loops	loop	NOUN
ap-7699	81	19	,	,	PUNCT
ap-7699	81	20	while	while	SCONJ
ap-7699	81	21	the	the	DET
ap-7699	81	22	graviton	graviton	NOUN
ap-7699	81	23	lines	line	NOUN
ap-7699	81	24	are	be	AUX
ap-7699	81	25	only	only	ADV
ap-7699	81	26	external	external	ADJ
ap-7699	81	27	lines	line	NOUN
ap-7699	81	28	of	of	ADP
ap-7699	81	29	the	the	DET
ap-7699	81	30	diagrams	diagram	NOUN
ap-7699	81	31	since	since	SCONJ
ap-7699	81	32	they	they	PRON
ap-7699	81	33	constitute	constitute	VERB
ap-7699	81	34	classical	classical	ADJ
ap-7699	81	35	backgrounds	background	NOUN
ap-7699	81	36	.	.	PUNCT
ap-7699	82	1	in	in	ADP
ap-7699	82	2	such	such	DET
ap-7699	82	3	a	a	DET
ap-7699	82	4	way	way	NOUN
ap-7699	82	5	we	we	PRON
ap-7699	82	6	generate	generate	VERB
ap-7699	82	7	the	the	DET
ap-7699	82	8	dynamics	dynamic	NOUN
ap-7699	82	9	to	to	ADP
ap-7699	82	10	the	the	DET
ap-7699	82	11	gravitational	gravitational	ADJ
ap-7699	82	12	field	field	NOUN
ap-7699	82	13	due	due	ADP
ap-7699	82	14	to	to	ADP
ap-7699	82	15	quantum	quantum	NOUN
ap-7699	82	16	matter	matter	NOUN
ap-7699	82	17	interactions	interaction	NOUN
ap-7699	82	18	with	with	ADP
ap-7699	82	19	gravity	gravity	NOUN
ap-7699	82	20	,	,	PUNCT
ap-7699	82	21	so	so	CCONJ
ap-7699	82	22	due	due	ADP
ap-7699	82	23	to	to	ADP
ap-7699	82	24	the	the	DET
ap-7699	82	25	back	back	ADJ
ap-7699	82	26	-	-	PUNCT
ap-7699	82	27	reaction	reaction	NOUN
ap-7699	82	28	phenomena	phenomenon	NOUN
ap-7699	82	29	.	.	PUNCT
ap-7699	83	1	if	if	SCONJ
ap-7699	83	2	the	the	DET
ap-7699	83	3	latter	latter	ADJ
ap-7699	83	4	was	be	AUX
ap-7699	83	5	neglected	neglect	VERB
ap-7699	83	6	we	we	PRON
ap-7699	83	7	would	would	AUX
ap-7699	83	8	have	have	VERB
ap-7699	83	9	only	only	ADV
ap-7699	83	10	the	the	DET
ap-7699	83	11	impact	impact	NOUN
ap-7699	83	12	of	of	ADP
ap-7699	83	13	classical	classical	ADJ
ap-7699	83	14	gravitational	gravitational	ADJ
ap-7699	83	15	field	field	NOUN
ap-7699	83	16	on	on	ADP
ap-7699	83	17	the	the	DET
ap-7699	83	18	motion	motion	NOUN
ap-7699	83	19	and	and	CCONJ
ap-7699	83	20	interactions	interaction	NOUN
ap-7699	83	21	of	of	ADP
ap-7699	83	22	quantum	quantum	NOUN
ap-7699	83	23	matter	matter	NOUN
ap-7699	83	24	particles	particle	NOUN
ap-7699	83	25	.	.	PUNCT
ap-7699	84	1	we	we	PRON
ap-7699	84	2	can	can	AUX
ap-7699	84	3	be	be	AUX
ap-7699	84	4	very	very	ADV
ap-7699	84	5	concrete	concrete	ADJ
ap-7699	84	6	here	here	ADV
ap-7699	84	7	,	,	PUNCT
ap-7699	84	8	namely	namely	ADV
ap-7699	84	9	for	for	ADP
ap-7699	84	10	example	example	NOUN
ap-7699	84	11	in	in	ADP
ap-7699	84	12	d	d	PROPN
ap-7699	84	13	=	=	SYM
ap-7699	84	14	4	4	NUM
ap-7699	84	15	spacetime	spacetime	NOUN
ap-7699	84	16	dimensions	dimension	NOUN
ap-7699	84	17	,	,	PUNCT
ap-7699	84	18	the	the	DET
ap-7699	84	19	dynamical	dynamical	ADJ
ap-7699	84	20	action	action	NOUN
ap-7699	84	21	that	that	PRON
ap-7699	84	22	is	be	AUX
ap-7699	84	23	generated	generate	VERB
ap-7699	84	24	for	for	ADP
ap-7699	84	25	gravity	gravity	NOUN
ap-7699	84	26	takes	take	VERB
ap-7699	84	27	the	the	DET
ap-7699	84	28	form	form	NOUN
ap-7699	84	29	sdiv	sdiv	NOUN
ap-7699	84	30	=	=	SYM
ap-7699	84	31	∫	∫	PROPN
ap-7699	84	32	d4x	d4x	PROPN
ap-7699	84	33	√	√	PROPN
ap-7699	84	34	|g|	|g|	PROPN
ap-7699	84	35	(	(	PUNCT
ap-7699	84	36	αcc2	αcc2	NOUN
ap-7699	84	37	+	+	CCONJ
ap-7699	84	38	αrr2	αrr2	PROPN
ap-7699	84	39	)	)	PUNCT
ap-7699	84	40	,	,	PUNCT
ap-7699	84	41	(	(	PUNCT
ap-7699	84	42	1	1	X
ap-7699	84	43	)	)	PUNCT
ap-7699	84	44	so	so	SCONJ
ap-7699	84	45	we	we	PRON
ap-7699	84	46	see	see	VERB
ap-7699	84	47	that	that	SCONJ
ap-7699	84	48	counterterms	counterterm	NOUN
ap-7699	84	49	of	of	ADP
ap-7699	84	50	the	the	DET
ap-7699	84	51	gr	gr	ADJ
ap-7699	84	52	-	-	PUNCT
ap-7699	84	53	covariant	covariant	ADJ
ap-7699	84	54	form	form	NOUN
ap-7699	84	55	of	of	ADP
ap-7699	84	56	c2	c2	PROPN
ap-7699	84	57	and	and	CCONJ
ap-7699	84	58	r2	r2	PROPN
ap-7699	84	59	are	be	AUX
ap-7699	84	60	being	be	AUX
ap-7699	84	61	generated	generate	VERB
ap-7699	84	62	.	.	PUNCT
ap-7699	85	1	(	(	PUNCT
ap-7699	85	2	in	in	ADP
ap-7699	85	3	the	the	DET
ap-7699	85	4	equation	equation	NOUN
ap-7699	85	5	above	above	ADV
ap-7699	85	6	,	,	PUNCT
ap-7699	85	7	the	the	DET
ap-7699	85	8	r2	r2	PROPN
ap-7699	85	9	and	and	CCONJ
ap-7699	85	10	c2	c2	PROPN
ap-7699	85	11	terms	term	NOUN
ap-7699	85	12	denote	denote	VERB
ap-7699	85	13	respectively	respectively	ADV
ap-7699	85	14	the	the	DET
ap-7699	85	15	square	square	NOUN
ap-7699	85	16	of	of	ADP
ap-7699	85	17	the	the	DET
ap-7699	85	18	ricci	ricci	PROPN
ap-7699	85	19	scalar	scalar	NOUN
ap-7699	85	20	and	and	CCONJ
ap-7699	85	21	of	of	ADP
ap-7699	85	22	the	the	DET
ap-7699	85	23	weyl	weyl	PROPN
ap-7699	85	24	tensor	tensor	NOUN
ap-7699	85	25	,	,	PUNCT
ap-7699	85	26	where	where	SCONJ
ap-7699	85	27	the	the	DET
ap-7699	85	28	indices	index	NOUN
ap-7699	85	29	are	be	AUX
ap-7699	85	30	contracted	contract	VERB
ap-7699	85	31	in	in	ADP
ap-7699	85	32	the	the	DET
ap-7699	85	33	natural	natural	ADJ
ap-7699	85	34	order	order	NOUN
ap-7699	85	35	,	,	PUNCT
ap-7699	85	36	i.e.	i.e.	X
ap-7699	85	37	c2	c2	PROPN
ap-7699	85	38	=	=	PUNCT
ap-7699	85	39	cµνρσcµνρσ	cµνρσcµνρσ	PROPN
ap-7699	85	40	.	.	PUNCT
ap-7699	86	1	collectively	collectively	ADV
ap-7699	86	2	,	,	PUNCT
ap-7699	86	3	we	we	PRON
ap-7699	86	4	will	will	AUX
ap-7699	86	5	denote	denote	VERB
ap-7699	86	6	these	these	DET
ap-7699	86	7	curvatures	curvature	NOUN
ap-7699	86	8	as	as	ADP
ap-7699	86	9	r2	r2	NOUN
ap-7699	86	10	,	,	PUNCT
ap-7699	86	11	so	so	ADV
ap-7699	86	12	r2	r2	PROPN
ap-7699	86	13	=	=	SYM
ap-7699	86	14	r2	r2	PROPN
ap-7699	86	15	,	,	PUNCT
ap-7699	86	16	c2	c2	PROPN
ap-7699	86	17	.	.	PUNCT
ap-7699	86	18	)	)	PUNCT
ap-7699	87	1	this	this	PRON
ap-7699	87	2	is	be	AUX
ap-7699	87	3	true	true	ADJ
ap-7699	87	4	no	no	ADV
ap-7699	87	5	matter	matter	ADV
ap-7699	87	6	what	what	PRON
ap-7699	87	7	was	be	AUX
ap-7699	87	8	our	our	PRON
ap-7699	87	9	intention	intention	NOUN
ap-7699	87	10	of	of	ADP
ap-7699	87	11	what	what	PRON
ap-7699	87	12	was	be	AUX
ap-7699	87	13	the	the	DET
ap-7699	87	14	dynamical	dynamical	ADJ
ap-7699	87	15	theory	theory	NOUN
ap-7699	87	16	of	of	ADP
ap-7699	87	17	the	the	DET
ap-7699	87	18	gravitational	gravitational	ADJ
ap-7699	87	19	field	field	NOUN
ap-7699	87	20	.	.	PUNCT
ap-7699	88	1	we	we	PRON
ap-7699	88	2	might	might	AUX
ap-7699	88	3	have	have	AUX
ap-7699	88	4	thought	think	VERB
ap-7699	88	5	that	that	SCONJ
ap-7699	88	6	this	this	PRON
ap-7699	88	7	was	be	AUX
ap-7699	88	8	described	describe	VERB
ap-7699	88	9	by	by	ADP
ap-7699	88	10	the	the	DET
ap-7699	88	11	standard	standard	ADJ
ap-7699	88	12	two	two	NUM
ap-7699	88	13	-	-	PUNCT
ap-7699	88	14	derivative	derivative	ADJ
ap-7699	88	15	einstein	einstein	ADJ
ap-7699	88	16	-	-	PUNCT
ap-7699	88	17	hilbert	hilbert	PROPN
ap-7699	88	18	action	action	NOUN
ap-7699	88	19	,	,	PUNCT
ap-7699	88	20	but	but	CCONJ
ap-7699	88	21	still	still	ADV
ap-7699	88	22	the	the	DET
ap-7699	88	23	above	above	ADJ
ap-7699	88	24	results	result	NOUN
ap-7699	88	25	persist	persist	VERB
ap-7699	88	26	.	.	PUNCT
ap-7699	89	1	one	one	NUM
ap-7699	89	2	notices	notice	VERB
ap-7699	89	3	that	that	SCONJ
ap-7699	89	4	in	in	ADP
ap-7699	89	5	these	these	DET
ap-7699	89	6	two	two	NUM
ap-7699	89	7	counterterms	counterterm	NOUN
ap-7699	89	8	c2	c2	PROPN
ap-7699	89	9	and	and	CCONJ
ap-7699	89	10	r2	r2	PROPN
ap-7699	89	11	one	one	NUM
ap-7699	89	12	has	have	VERB
ap-7699	89	13	four	four	NUM
ap-7699	89	14	derivatives	derivative	NOUN
ap-7699	89	15	acting	act	VERB
ap-7699	89	16	on	on	ADP
ap-7699	89	17	a	a	DET
ap-7699	89	18	metric	metric	ADJ
ap-7699	89	19	tensor	tensor	NOUN
ap-7699	89	20	,	,	PUNCT
ap-7699	89	21	so	so	SCONJ
ap-7699	89	22	these	these	PRON
ap-7699	89	23	are	be	AUX
ap-7699	89	24	theories	theory	NOUN
ap-7699	89	25	of	of	ADP
ap-7699	89	26	a	a	DET
ap-7699	89	27	general	general	ADJ
ap-7699	89	28	higher	high	ADJ
ap-7699	89	29	-	-	PUNCT
ap-7699	89	30	derivative	derivative	ADJ
ap-7699	89	31	type	type	NOUN
ap-7699	89	32	,	,	PUNCT
ap-7699	89	33	differently	differently	ADV
ap-7699	89	34	from	from	ADP
ap-7699	89	35	originally	originally	ADV
ap-7699	89	36	intended	intend	VERB
ap-7699	89	37	e	e	NOUN
ap-7699	89	38	-	-	ADJ
ap-7699	89	39	h	h	ADJ
ap-7699	89	40	gravitational	gravitational	ADJ
ap-7699	89	41	theory	theory	NOUN
ap-7699	89	42	whose	whose	DET
ap-7699	89	43	action	action	NOUN
ap-7699	89	44	is	be	AUX
ap-7699	89	45	just	just	ADV
ap-7699	89	46	based	base	VERB
ap-7699	89	47	on	on	ADP
ap-7699	89	48	the	the	DET
ap-7699	89	49	ricci	ricci	PROPN
ap-7699	89	50	scalar	scalar	PROPN
ap-7699	89	51	r.	r.	PROPN
ap-7699	89	52	these	these	DET
ap-7699	89	53	c2	c2	PROPN
ap-7699	89	54	and	and	CCONJ
ap-7699	89	55	r2	r2	PROPN
ap-7699	89	56	terms	term	NOUN
ap-7699	89	57	appear	appear	VERB
ap-7699	89	58	in	in	ADP
ap-7699	89	59	the	the	DET
ap-7699	89	60	divergent	divergent	ADJ
ap-7699	89	61	part	part	NOUN
ap-7699	89	62	of	of	ADP
ap-7699	89	63	the	the	DET
ap-7699	89	64	dynamically	dynamically	ADV
ap-7699	89	65	induced	induce	VERB
ap-7699	89	66	action	action	NOUN
ap-7699	89	67	for	for	ADP
ap-7699	89	68	the	the	DET
ap-7699	89	69	gravitational	gravitational	ADJ
ap-7699	89	70	fields	field	NOUN
ap-7699	89	71	.	.	PUNCT
ap-7699	90	1	we	we	PRON
ap-7699	90	2	must	must	AUX
ap-7699	90	3	be	be	AUX
ap-7699	90	4	able	able	ADJ
ap-7699	90	5	to	to	PART
ap-7699	90	6	absorb	absorb	VERB
ap-7699	90	7	these	these	DET
ap-7699	90	8	divergences	divergence	NOUN
ap-7699	90	9	to	to	PART
ap-7699	90	10	have	have	VERB
ap-7699	90	11	a	a	DET
ap-7699	90	12	consistent	consistent	ADJ
ap-7699	90	13	quantum	quantum	NOUN
ap-7699	90	14	theory	theory	NOUN
ap-7699	90	15	of	of	ADP
ap-7699	90	16	the	the	DET
ap-7699	90	17	gravitational	gravitational	ADJ
ap-7699	90	18	field	field	NOUN
ap-7699	90	19	coupled	couple	VERB
ap-7699	90	20	to	to	ADP
ap-7699	90	21	the	the	DET
ap-7699	90	22	quantum	quantum	NOUN
ap-7699	90	23	matter	matter	NOUN
ap-7699	90	24	fields	field	NOUN
ap-7699	90	25	present	present	ADJ
ap-7699	90	26	here	here	ADV
ap-7699	90	27	on	on	ADP
ap-7699	90	28	such	such	ADJ
ap-7699	90	29	curved	curved	ADJ
ap-7699	90	30	(	(	PUNCT
ap-7699	90	31	gravitational	gravitational	ADJ
ap-7699	90	32	)	)	PUNCT
ap-7699	90	33	backgrounds	background	NOUN
ap-7699	91	1	[	[	X
ap-7699	91	2	5	5	NUM
ap-7699	91	3	]	]	PUNCT
ap-7699	91	4	.	.	PUNCT
ap-7699	92	1	this	this	PRON
ap-7699	92	2	implies	imply	VERB
ap-7699	92	3	that	that	SCONJ
ap-7699	92	4	in	in	ADP
ap-7699	92	5	the	the	DET
ap-7699	92	6	dynamics	dynamic	NOUN
ap-7699	92	7	of	of	ADP
ap-7699	92	8	the	the	DET
ap-7699	92	9	gravitational	gravitational	ADJ
ap-7699	92	10	field	field	NOUN
ap-7699	92	11	we	we	PRON
ap-7699	92	12	must	must	AUX
ap-7699	92	13	have	have	VERB
ap-7699	92	14	exactly	exactly	ADV
ap-7699	92	15	these	these	DET
ap-7699	92	16	terms	term	NOUN
ap-7699	92	17	with	with	ADP
ap-7699	92	18	higher	high	ADJ
ap-7699	92	19	derivatives	derivative	NOUN
ap-7699	92	20	as	as	ADP
ap-7699	92	21	in	in	ADP
ap-7699	92	22	(	(	PUNCT
ap-7699	92	23	1	1	NUM
ap-7699	92	24	)	)	PUNCT
ap-7699	92	25	.	.	PUNCT
ap-7699	93	1	finally	finally	ADV
ap-7699	93	2	,	,	PUNCT
ap-7699	93	3	we	we	PRON
ap-7699	93	4	can	can	AUX
ap-7699	93	5	even	even	ADV
ap-7699	93	6	abstract	abstract	VERB
ap-7699	93	7	and	and	CCONJ
ap-7699	93	8	forget	forget	VERB
ap-7699	93	9	about	about	ADP
ap-7699	93	10	matter	matter	VERB
ap-7699	93	11	species	specie	NOUN
ap-7699	93	12	and	and	CCONJ
ap-7699	93	13	consider	consider	VERB
ap-7699	93	14	only	only	ADJ
ap-7699	93	15	pure	pure	ADJ
ap-7699	93	16	gravitational	gravitational	ADJ
ap-7699	93	17	quantum	quantum	NOUN
ap-7699	93	18	theory	theory	NOUN
ap-7699	93	19	.	.	PUNCT
ap-7699	94	1	the	the	DET
ap-7699	94	2	consistency	consistency	NOUN
ap-7699	94	3	of	of	ADP
ap-7699	94	4	self	self	NOUN
ap-7699	94	5	-	-	PUNCT
ap-7699	94	6	interactions	interaction	NOUN
ap-7699	94	7	there	there	ADV
ap-7699	94	8	on	on	ADP
ap-7699	94	9	the	the	DET
ap-7699	94	10	quantum	quantum	ADJ
ap-7699	94	11	level	level	NOUN
ap-7699	94	12	puts	put	VERB
ap-7699	94	13	the	the	DET
ap-7699	94	14	same	same	ADJ
ap-7699	94	15	restriction	restriction	NOUN
ap-7699	94	16	on	on	ADP
ap-7699	94	17	the	the	DET
ap-7699	94	18	form	form	NOUN
ap-7699	94	19	of	of	ADP
ap-7699	94	20	the	the	DET
ap-7699	94	21	action	action	NOUN
ap-7699	94	22	of	of	ADP
ap-7699	94	23	the	the	DET
ap-7699	94	24	theory	theory	NOUN
ap-7699	94	25	.	.	PUNCT
ap-7699	95	1	in	in	ADP
ap-7699	95	2	such	such	DET
ap-7699	95	3	a	a	DET
ap-7699	95	4	situation	situation	NOUN
ap-7699	95	5	in	in	ADP
ap-7699	95	6	the	the	DET
ap-7699	95	7	language	language	NOUN
ap-7699	95	8	of	of	ADP
ap-7699	95	9	feynman	feynman	PROPN
ap-7699	95	10	diagrams	diagram	NOUN
ap-7699	95	11	,	,	PUNCT
ap-7699	95	12	one	one	NUM
ap-7699	95	13	considers	consider	VERB
ap-7699	95	14	also	also	ADV
ap-7699	95	15	loops	loop	VERB
ap-7699	95	16	with	with	ADP
ap-7699	95	17	quantum	quantum	ADJ
ap-7699	95	18	gravitons	graviton	NOUN
ap-7699	95	19	running	run	VERB
ap-7699	95	20	inside	inside	ADV
ap-7699	95	21	.	.	PUNCT
ap-7699	96	1	these	these	DET
ap-7699	96	2	graphs	graph	NOUN
ap-7699	96	3	induce	induce	VERB
ap-7699	96	4	the	the	DET
ap-7699	96	5	same	same	ADJ
ap-7699	96	6	form	form	NOUN
ap-7699	96	7	of	of	ADP
ap-7699	96	8	uv	uv	NOUN
ap-7699	96	9	divergences	divergence	NOUN
ap-7699	96	10	as	as	ADP
ap-7699	96	11	in	in	ADP
ap-7699	96	12	(	(	PUNCT
ap-7699	96	13	1	1	NUM
ap-7699	96	14	)	)	PUNCT
ap-7699	96	15	.	.	PUNCT
ap-7699	97	1	then	then	ADV
ap-7699	97	2	in	in	ADP
ap-7699	97	3	such	such	DET
ap-7699	97	4	a	a	DET
ap-7699	97	5	model	model	NOUN
ap-7699	97	6	,	,	PUNCT
ap-7699	97	7	we	we	PRON
ap-7699	97	8	must	must	AUX
ap-7699	97	9	still	still	ADV
ap-7699	97	10	consider	consider	VERB
ap-7699	97	11	the	the	DET
ap-7699	97	12	dynamics	dynamic	NOUN
ap-7699	97	13	of	of	ADP
ap-7699	97	14	the	the	DET
ap-7699	97	15	quantum	quantum	ADJ
ap-7699	97	16	gravitational	gravitational	ADJ
ap-7699	97	17	field	field	NOUN
ap-7699	97	18	with	with	ADP
ap-7699	97	19	higher	high	ADJ
ap-7699	97	20	derivatives	derivative	NOUN
ap-7699	97	21	.	.	PUNCT
ap-7699	98	1	hence	hence	ADV
ap-7699	98	2	,	,	PUNCT
ap-7699	98	3	from	from	ADP
ap-7699	98	4	quantum	quantum	ADJ
ap-7699	98	5	considerations	consideration	NOUN
ap-7699	98	6	higher	high	ADJ
ap-7699	98	7	derivatives	derivative	NOUN
ap-7699	98	8	are	be	AUX
ap-7699	98	9	inevitable	inevitable	ADJ
ap-7699	98	10	.	.	PUNCT
ap-7699	99	1	we	we	PRON
ap-7699	99	2	also	also	ADV
ap-7699	99	3	remark	remark	VERB
ap-7699	99	4	here	here	ADV
ap-7699	99	5	that	that	SCONJ
ap-7699	99	6	in	in	ADP
ap-7699	99	7	the	the	DET
ap-7699	99	8	special	special	ADJ
ap-7699	99	9	case	case	NOUN
ap-7699	99	10	,	,	PUNCT
ap-7699	99	11	where	where	SCONJ
ap-7699	99	12	the	the	DET
ap-7699	99	13	matter	matter	NOUN
ap-7699	99	14	theory	theory	NOUN
ap-7699	99	15	is	be	AUX
ap-7699	99	16	classically	classically	ADV
ap-7699	99	17	conformally	conformally	ADV
ap-7699	99	18	invariant	invariant	ADJ
ap-7699	99	19	with	with	ADP
ap-7699	99	20	respect	respect	NOUN
ap-7699	99	21	to	to	ADP
ap-7699	99	22	classical	classical	ADJ
ap-7699	99	23	gravitational	gravitational	ADJ
ap-7699	99	24	background	background	NOUN
ap-7699	99	25	field	field	NOUN
ap-7699	99	26	(	(	PUNCT
ap-7699	99	27	the	the	DET
ap-7699	99	28	examples	example	NOUN
ap-7699	99	29	are	be	AUX
ap-7699	99	30	:	:	PUNCT
ap-7699	99	31	massless	massless	ADJ
ap-7699	99	32	fermion	fermion	NOUN
ap-7699	99	33	,	,	PUNCT
ap-7699	99	34	massless	massless	NOUN
ap-7699	99	35	klein	klein	PROPN
ap-7699	99	36	-	-	PUNCT
ap-7699	99	37	gordon	gordon	PROPN
ap-7699	99	38	scalar	scalar	ADJ
ap-7699	99	39	field	field	NOUN
ap-7699	99	40	conformally	conformally	ADV
ap-7699	99	41	coupled	couple	VERB
ap-7699	99	42	to	to	ADP
ap-7699	99	43	the	the	DET
ap-7699	99	44	geometry	geometry	NOUN
ap-7699	99	45	,	,	PUNCT
ap-7699	99	46	electrodynamic	electrodynamic	ADJ
ap-7699	99	47	field	field	NOUN
ap-7699	99	48	or	or	CCONJ
ap-7699	99	49	non	non	ADJ
ap-7699	99	50	-	-	ADJ
ap-7699	99	51	abelian	abelian	ADJ
ap-7699	99	52	yangmills	yangmill	NOUN
ap-7699	99	53	field	field	NOUN
ap-7699	99	54	in	in	ADP
ap-7699	99	55	d	d	PROPN
ap-7699	99	56	=	=	SYM
ap-7699	99	57	4	4	NUM
ap-7699	99	58	)	)	PUNCT
ap-7699	99	59	,	,	PUNCT
ap-7699	99	60	then	then	ADV
ap-7699	99	61	only	only	ADV
ap-7699	99	62	the	the	DET
ap-7699	99	63	conformally	conformally	ADV
ap-7699	99	64	covariant	covariant	ADJ
ap-7699	99	65	counterterm	counterterm	NOUN
ap-7699	99	66	c2	c2	PROPN
ap-7699	99	67	is	be	AUX
ap-7699	99	68	generated	generate	VERB
ap-7699	99	69	,	,	PUNCT
ap-7699	99	70	while	while	SCONJ
ap-7699	99	71	the	the	DET
ap-7699	99	72	coefficient	coefficient	NOUN
ap-7699	99	73	αr	αr	ADP
ap-7699	99	74	=	=	SYM
ap-7699	99	75	0	0	NUM
ap-7699	99	76	in	in	ADP
ap-7699	99	77	(	(	PUNCT
ap-7699	99	78	1	1	NUM
ap-7699	99	79	)	)	PUNCT
ap-7699	99	80	.	.	PUNCT
ap-7699	100	1	this	this	PRON
ap-7699	100	2	is	be	AUX
ap-7699	100	3	due	due	ADJ
ap-7699	100	4	to	to	ADP
ap-7699	100	5	the	the	DET
ap-7699	100	6	fact	fact	NOUN
ap-7699	100	7	that	that	SCONJ
ap-7699	100	8	the	the	DET
ap-7699	100	9	quantization	quantization	NOUN
ap-7699	100	10	procedure	procedure	NOUN
ap-7699	100	11	preserves	preserve	VERB
ap-7699	100	12	conformal	conformal	ADJ
ap-7699	100	13	symmetries	symmetry	NOUN
ap-7699	100	14	of	of	ADP
ap-7699	100	15	the	the	DET
ap-7699	100	16	original	original	ADJ
ap-7699	100	17	classical	classical	ADJ
ap-7699	100	18	theory	theory	NOUN
ap-7699	100	19	coupled	couple	VERB
ap-7699	100	20	to	to	ADP
ap-7699	100	21	the	the	DET
ap-7699	100	22	non	non	ADJ
ap-7699	100	23	-	-	ADJ
ap-7699	100	24	trivial	trivial	ADJ
ap-7699	100	25	spacetime	spacetime	NOUN
ap-7699	100	26	background	background	NOUN
ap-7699	100	27	.	.	PUNCT
ap-7699	101	1	such	such	ADJ
ap-7699	101	2	argument	argument	NOUN
ap-7699	101	3	can	can	AUX
ap-7699	101	4	be	be	AUX
ap-7699	101	5	called	call	VERB
ap-7699	101	6	as	as	ADP
ap-7699	101	7	a	a	DET
ap-7699	101	8	conformal	conformal	ADJ
ap-7699	101	9	version	version	NOUN
ap-7699	101	10	of	of	ADP
ap-7699	101	11	the	the	DET
ap-7699	101	12	original	original	ADJ
ap-7699	101	13	dewitt	dewitt	PROPN
ap-7699	101	14	-	-	PUNCT
ap-7699	101	15	utiyama	utiyama	PROPN
ap-7699	101	16	argument	argument	NOUN
ap-7699	101	17	.	.	PUNCT
ap-7699	102	1	then	then	ADV
ap-7699	102	2	the	the	DET
ap-7699	102	3	r2	r2	PROPN
ap-7699	102	4	counterterm	counterterm	NOUN
ap-7699	102	5	is	be	AUX
ap-7699	102	6	not	not	PART
ap-7699	102	7	needed	need	VERB
ap-7699	102	8	but	but	CCONJ
ap-7699	102	9	still	still	ADV
ap-7699	102	10	the	the	DET
ap-7699	102	11	action	action	NOUN
ap-7699	102	12	of	of	ADP
ap-7699	102	13	a	a	DET
ap-7699	102	14	quantum	quantum	ADJ
ap-7699	102	15	consistent	consistent	NOUN
ap-7699	102	16	coupled	couple	VERB
ap-7699	102	17	conformal	conformal	NOUN
ap-7699	102	18	system	system	NOUN
ap-7699	102	19	requires	require	VERB
ap-7699	102	20	the	the	DET
ap-7699	102	21	higher	high	ADJ
ap-7699	102	22	-	-	PUNCT
ap-7699	102	23	derivative	derivative	ADJ
ap-7699	102	24	dynamics	dynamic	NOUN
ap-7699	102	25	in	in	ADP
ap-7699	102	26	the	the	DET
ap-7699	102	27	gravitational	gravitational	ADJ
ap-7699	102	28	sector	sector	NOUN
ap-7699	103	1	[	[	X
ap-7699	103	2	6	6	NUM
ap-7699	103	3	]	]	PUNCT
ap-7699	103	4	.	.	PUNCT
ap-7699	104	1	here	here	ADV
ap-7699	104	2	this	this	PRON
ap-7699	104	3	is	be	AUX
ap-7699	104	4	clearly	clearly	ADV
ap-7699	104	5	the	the	DET
ap-7699	104	6	gravitational	gravitational	ADJ
ap-7699	104	7	dynamics	dynamic	NOUN
ap-7699	104	8	only	only	ADV
ap-7699	104	9	in	in	ADP
ap-7699	104	10	the	the	DET
ap-7699	104	11	spin-2	spin-2	NUM
ap-7699	104	12	sector	sector	NOUN
ap-7699	104	13	of	of	ADP
ap-7699	104	14	120	120	NUM
ap-7699	104	15	vol	vol	NOUN
ap-7699	104	16	.	.	PUNCT
ap-7699	105	1	62	62	NUM
ap-7699	105	2	no	no	INTJ
ap-7699	105	3	.	.	PUNCT
ap-7699	106	1	1/2022	1/2022	NUM
ap-7699	106	2	beta	beta	NOUN
ap-7699	106	3	functions	function	NOUN
ap-7699	106	4	in	in	ADP
ap-7699	106	5	six	six	NUM
ap-7699	106	6	-	-	PUNCT
ap-7699	106	7	derivative	derivative	ADJ
ap-7699	106	8	quantum	quantum	NOUN
ap-7699	106	9	gravity	gravity	NOUN
ap-7699	106	10	metric	metric	ADJ
ap-7699	106	11	fluctuations	fluctuation	NOUN
ap-7699	106	12	,	,	PUNCT
ap-7699	106	13	which	which	PRON
ap-7699	106	14	is	be	AUX
ap-7699	106	15	contained	contain	VERB
ap-7699	106	16	entirely	entirely	ADV
ap-7699	106	17	in	in	ADP
ap-7699	106	18	the	the	DET
ap-7699	106	19	(	(	PUNCT
ap-7699	106	20	conformal	conformal	ADJ
ap-7699	106	21	)	)	PUNCT
ap-7699	106	22	c2	c2	PROPN
ap-7699	106	23	sector	sector	NOUN
ap-7699	106	24	of	of	ADP
ap-7699	106	25	the	the	DET
ap-7699	106	26	generic	generic	ADJ
ap-7699	106	27	four	four	NUM
ap-7699	106	28	-	-	PUNCT
ap-7699	106	29	derivative	derivative	ADJ
ap-7699	106	30	theory	theory	NOUN
ap-7699	106	31	presented	present	VERB
ap-7699	106	32	in	in	ADP
ap-7699	106	33	(	(	PUNCT
ap-7699	106	34	1	1	NUM
ap-7699	106	35	)	)	PUNCT
ap-7699	106	36	.	.	PUNCT
ap-7699	107	1	an	an	DET
ap-7699	107	2	intriguing	intriguing	ADJ
ap-7699	107	3	possibility	possibility	NOUN
ap-7699	107	4	for	for	ADP
ap-7699	107	5	having	have	VERB
ap-7699	107	6	higher	high	ADJ
ap-7699	107	7	derivatives	derivative	NOUN
ap-7699	107	8	in	in	ADP
ap-7699	107	9	the	the	DET
ap-7699	107	10	gravitational	gravitational	ADJ
ap-7699	107	11	action	action	NOUN
ap-7699	107	12	was	be	AUX
ap-7699	107	13	first	first	ADV
ap-7699	107	14	considered	consider	VERB
ap-7699	107	15	by	by	ADP
ap-7699	107	16	stelle	stelle	NOUN
ap-7699	107	17	in	in	ADP
ap-7699	107	18	[	[	X
ap-7699	107	19	7	7	NUM
ap-7699	107	20	]	]	PUNCT
ap-7699	107	21	and	and	CCONJ
ap-7699	107	22	some	some	DET
ap-7699	107	23	exact	exact	ADJ
ap-7699	107	24	classical	classical	ADJ
ap-7699	107	25	solutions	solution	NOUN
ap-7699	107	26	of	of	ADP
ap-7699	107	27	such	such	DET
ap-7699	107	28	a	a	DET
ap-7699	107	29	theory	theory	NOUN
ap-7699	107	30	were	be	AUX
ap-7699	107	31	analyzed	analyze	VERB
ap-7699	107	32	in	in	ADP
ap-7699	107	33	[	[	X
ap-7699	107	34	8–10	8–10	NOUN
ap-7699	107	35	]	]	PUNCT
ap-7699	107	36	.	.	PUNCT
ap-7699	108	1	in	in	ADP
ap-7699	108	2	d	d	PROPN
ap-7699	108	3	=	=	SYM
ap-7699	108	4	4	4	NUM
ap-7699	108	5	spacetime	spacetime	NOUN
ap-7699	108	6	dimensions	dimension	NOUN
ap-7699	108	7	,	,	PUNCT
ap-7699	108	8	the	the	DET
ap-7699	108	9	minimal	minimal	ADJ
ap-7699	108	10	number	number	NOUN
ap-7699	108	11	of	of	ADP
ap-7699	108	12	derivatives	derivative	NOUN
ap-7699	108	13	is	be	AUX
ap-7699	108	14	exactly	exactly	ADV
ap-7699	108	15	four	four	NUM
ap-7699	108	16	,	,	PUNCT
ap-7699	108	17	the	the	DET
ap-7699	108	18	same	same	ADJ
ap-7699	108	19	as	as	ADP
ap-7699	108	20	the	the	DET
ap-7699	108	21	number	number	NOUN
ap-7699	108	22	of	of	ADP
ap-7699	108	23	dimensions	dimension	NOUN
ap-7699	108	24	[	[	X
ap-7699	108	25	11	11	NUM
ap-7699	108	26	]	]	PUNCT
ap-7699	108	27	.	.	PUNCT
ap-7699	109	1	this	this	DET
ap-7699	109	2	reasoning	reasoning	NOUN
ap-7699	109	3	coincides	coincide	VERB
ap-7699	109	4	with	with	ADP
ap-7699	109	5	the	the	DET
ap-7699	109	6	one	one	NOUN
ap-7699	109	7	presented	present	VERB
ap-7699	109	8	earlier	early	ADV
ap-7699	109	9	that	that	SCONJ
ap-7699	109	10	we	we	PRON
ap-7699	109	11	need	need	VERB
ap-7699	109	12	to	to	PART
ap-7699	109	13	have	have	VERB
ap-7699	109	14	in	in	ADP
ap-7699	109	15	even	even	ADV
ap-7699	109	16	number	number	NOUN
ap-7699	109	17	of	of	ADP
ap-7699	109	18	dimensions	dimension	NOUN
ap-7699	109	19	d	d	NOUN
ap-7699	109	20	,	,	PUNCT
ap-7699	109	21	precisely	precisely	ADV
ap-7699	109	22	d	d	ADP
ap-7699	109	23	derivatives	derivative	NOUN
ap-7699	109	24	in	in	ADP
ap-7699	109	25	the	the	DET
ap-7699	109	26	gravitational	gravitational	ADJ
ap-7699	109	27	action	action	NOUN
ap-7699	109	28	to	to	PART
ap-7699	109	29	have	have	VERB
ap-7699	109	30	first	first	ADJ
ap-7699	109	31	scale	scale	NOUN
ap-7699	109	32	-	-	PUNCT
ap-7699	109	33	invariant	invariant	ADJ
ap-7699	109	34	model	model	NOUN
ap-7699	109	35	of	of	ADP
ap-7699	109	36	gravitational	gravitational	ADJ
ap-7699	109	37	dynamics	dynamic	NOUN
ap-7699	109	38	(	(	PUNCT
ap-7699	109	39	later	later	ADV
ap-7699	109	40	possible	possible	ADJ
ap-7699	109	41	to	to	PART
ap-7699	109	42	be	be	AUX
ap-7699	109	43	promoted	promote	VERB
ap-7699	109	44	to	to	PART
ap-7699	109	45	enjoy	enjoy	VERB
ap-7699	109	46	also	also	ADV
ap-7699	109	47	the	the	DET
ap-7699	109	48	full	full	ADJ
ap-7699	109	49	conformal	conformal	ADJ
ap-7699	109	50	invariance	invariance	NOUN
ap-7699	109	51	)	)	PUNCT
ap-7699	109	52	.	.	PUNCT
ap-7699	110	1	however	however	ADV
ap-7699	110	2	,	,	PUNCT
ap-7699	110	3	as	as	SCONJ
ap-7699	110	4	proven	prove	VERB
ap-7699	110	5	by	by	ADP
ap-7699	110	6	asorey	asorey	PROPN
ap-7699	110	7	,	,	PUNCT
ap-7699	110	8	lopez	lopez	NOUN
ap-7699	110	9	and	and	CCONJ
ap-7699	110	10	shapiro	shapiro	PROPN
ap-7699	110	11	in	in	ADP
ap-7699	110	12	[	[	X
ap-7699	110	13	12	12	NUM
ap-7699	110	14	]	]	PUNCT
ap-7699	110	15	,	,	PUNCT
ap-7699	110	16	there	there	PRON
ap-7699	110	17	are	be	VERB
ap-7699	110	18	also	also	ADV
ap-7699	110	19	possible	possible	ADJ
ap-7699	110	20	theories	theory	NOUN
ap-7699	110	21	with	with	ADP
ap-7699	110	22	even	even	ADV
ap-7699	110	23	higher	high	ADJ
ap-7699	110	24	number	number	NOUN
ap-7699	110	25	of	of	ADP
ap-7699	110	26	derivatives	derivative	NOUN
ap-7699	110	27	,	,	PUNCT
ap-7699	110	28	and	and	CCONJ
ap-7699	110	29	they	they	PRON
ap-7699	110	30	still	still	ADV
ap-7699	110	31	have	have	VERB
ap-7699	110	32	good	good	ADJ
ap-7699	110	33	properties	property	NOUN
ap-7699	110	34	on	on	ADP
ap-7699	110	35	the	the	DET
ap-7699	110	36	quantum	quantum	ADJ
ap-7699	110	37	level	level	NOUN
ap-7699	110	38	and	and	CCONJ
ap-7699	110	39	when	when	SCONJ
ap-7699	110	40	coupled	couple	VERB
ap-7699	110	41	to	to	ADP
ap-7699	110	42	quantum	quantum	NOUN
ap-7699	110	43	matter	matter	NOUN
ap-7699	110	44	fields	field	NOUN
ap-7699	110	45	.	.	PUNCT
ap-7699	111	1	similarly	similarly	ADV
ap-7699	111	2	,	,	PUNCT
ap-7699	111	3	in	in	ADP
ap-7699	111	4	the	the	DET
ap-7699	111	5	literature	literature	NOUN
ap-7699	111	6	there	there	PRON
ap-7699	111	7	are	be	VERB
ap-7699	111	8	various	various	ADJ
ap-7699	111	9	known	know	VERB
ap-7699	111	10	motivations	motivation	NOUN
ap-7699	111	11	for	for	ADP
ap-7699	111	12	conformal	conformal	ADJ
ap-7699	111	13	gravity	gravity	NOUN
ap-7699	111	14	in	in	ADP
ap-7699	111	15	d	d	PROPN
ap-7699	111	16	=	=	SYM
ap-7699	111	17	4	4	NUM
ap-7699	111	18	spacetime	spacetime	NOUN
ap-7699	111	19	dimensions	dimension	NOUN
ap-7699	111	20	,	,	PUNCT
ap-7699	111	21	one	one	PRON
ap-7699	111	22	can	can	AUX
ap-7699	111	23	consult	consult	VERB
ap-7699	111	24	representatives	representative	NOUN
ap-7699	111	25	in	in	ADP
ap-7699	111	26	[	[	X
ap-7699	111	27	13	13	NUM
ap-7699	111	28	,	,	PUNCT
ap-7699	111	29	14	14	NUM
ap-7699	111	30	]	]	PUNCT
ap-7699	111	31	.	.	PUNCT
ap-7699	112	1	secondly	secondly	ADV
ap-7699	112	2	,	,	PUNCT
ap-7699	112	3	we	we	PRON
ap-7699	112	4	emphasize	emphasize	VERB
ap-7699	112	5	that	that	PRON
ap-7699	112	6	to	to	PART
ap-7699	112	7	have	have	VERB
ap-7699	112	8	a	a	DET
ap-7699	112	9	minimal	minimal	ADJ
ap-7699	112	10	(	(	PUNCT
ap-7699	112	11	in	in	ADP
ap-7699	112	12	a	a	DET
ap-7699	112	13	sense	sense	NOUN
ap-7699	112	14	with	with	ADP
ap-7699	112	15	the	the	DET
ap-7699	112	16	smallest	small	ADJ
ap-7699	112	17	number	number	NOUN
ap-7699	112	18	of	of	ADP
ap-7699	112	19	derivatives	derivative	NOUN
ap-7699	112	20	)	)	PUNCT
ap-7699	112	21	perturbatively	perturbatively	ADV
ap-7699	112	22	renormalizable	renormalizable	ADJ
ap-7699	112	23	model	model	NOUN
ap-7699	112	24	of	of	ADP
ap-7699	112	25	qg	qg	PROPN
ap-7699	112	26	in	in	ADP
ap-7699	112	27	dimensions	dimensions	PROPN
ap-7699	112	28	d	d	PROPN
ap-7699	112	29	,	,	PUNCT
ap-7699	112	30	one	one	PRON
ap-7699	112	31	also	also	ADV
ap-7699	112	32	has	have	VERB
ap-7699	112	33	to	to	PART
ap-7699	112	34	consider	consider	VERB
ap-7699	112	35	actions	action	NOUN
ap-7699	112	36	with	with	ADP
ap-7699	112	37	precisely	precisely	ADV
ap-7699	112	38	d	d	ADJ
ap-7699	112	39	derivatives	derivative	NOUN
ap-7699	112	40	.	.	PUNCT
ap-7699	113	1	the	the	DET
ap-7699	113	2	actions	action	NOUN
ap-7699	113	3	with	with	ADP
ap-7699	113	4	smaller	small	ADJ
ap-7699	113	5	number	number	NOUN
ap-7699	113	6	are	be	AUX
ap-7699	113	7	not	not	PART
ap-7699	113	8	scale	scale	NOUN
ap-7699	113	9	-	-	PUNCT
ap-7699	113	10	invariant	invariant	ADJ
ap-7699	113	11	and	and	CCONJ
ap-7699	113	12	have	have	VERB
ap-7699	113	13	problems	problem	NOUN
ap-7699	113	14	on	on	ADP
ap-7699	113	15	the	the	DET
ap-7699	113	16	quantum	quantum	ADJ
ap-7699	113	17	level	level	NOUN
ap-7699	113	18	to	to	PART
ap-7699	113	19	control	control	VERB
ap-7699	113	20	all	all	DET
ap-7699	113	21	perturbative	perturbative	ADJ
ap-7699	113	22	uv	uv	NOUN
ap-7699	113	23	divergences	divergence	NOUN
ap-7699	113	24	,	,	PUNCT
ap-7699	113	25	and	and	CCONJ
ap-7699	113	26	not	not	PART
ap-7699	113	27	all	all	PRON
ap-7699	113	28	of	of	ADP
ap-7699	113	29	them	they	PRON
ap-7699	113	30	are	be	AUX
ap-7699	113	31	absorbable	absorbable	ADJ
ap-7699	113	32	in	in	ADP
ap-7699	113	33	the	the	DET
ap-7699	113	34	counterterms	counterterm	NOUN
ap-7699	113	35	coming	come	VERB
ap-7699	113	36	from	from	ADP
ap-7699	113	37	the	the	DET
ap-7699	113	38	original	original	ADJ
ap-7699	113	39	classical	classical	ADJ
ap-7699	113	40	actions	action	NOUN
ap-7699	113	41	of	of	ADP
ap-7699	113	42	the	the	DET
ap-7699	113	43	theories	theory	NOUN
ap-7699	113	44	–	–	PUNCT
ap-7699	113	45	such	such	ADJ
ap-7699	113	46	models	model	NOUN
ap-7699	113	47	with	with	ADP
ap-7699	113	48	less	less	ADJ
ap-7699	113	49	than	than	ADP
ap-7699	113	50	d	d	NOUN
ap-7699	113	51	derivatives	derivative	NOUN
ap-7699	113	52	are	be	AUX
ap-7699	113	53	not	not	PART
ap-7699	113	54	multiplicatively	multiplicatively	ADV
ap-7699	113	55	renormalizable	renormalizable	ADJ
ap-7699	113	56	.	.	PUNCT
ap-7699	114	1	the	the	DET
ap-7699	114	2	first	first	ADJ
ap-7699	114	3	case	case	NOUN
ap-7699	114	4	for	for	ADP
ap-7699	114	5	renormalizability	renormalizability	NOUN
ap-7699	114	6	is	be	AUX
ap-7699	114	7	when	when	SCONJ
ap-7699	114	8	the	the	DET
ap-7699	114	9	action	action	NOUN
ap-7699	114	10	contains	contain	VERB
ap-7699	114	11	all	all	DET
ap-7699	114	12	generic	generic	ADJ
ap-7699	114	13	terms	term	NOUN
ap-7699	114	14	with	with	ADP
ap-7699	114	15	arbitrary	arbitrary	ADJ
ap-7699	114	16	coupling	coupling	NOUN
ap-7699	114	17	coefficients	coefficient	NOUN
ap-7699	114	18	with	with	ADP
ap-7699	114	19	d	d	PROPN
ap-7699	114	20	(	(	PUNCT
ap-7699	114	21	partial	partial	ADJ
ap-7699	114	22	)	)	PUNCT
ap-7699	114	23	derivatives	derivative	NOUN
ap-7699	114	24	on	on	ADP
ap-7699	114	25	the	the	DET
ap-7699	114	26	metric	metric	NOUN
ap-7699	114	27	for	for	ADP
ap-7699	114	28	d	d	PROPN
ap-7699	114	29	dimensions	dimension	NOUN
ap-7699	114	30	.	.	PUNCT
ap-7699	115	1	the	the	DET
ap-7699	115	2	special	special	ADJ
ap-7699	115	3	cases	case	NOUN
ap-7699	115	4	when	when	SCONJ
ap-7699	115	5	some	some	DET
ap-7699	115	6	coefficients	coefficient	NOUN
ap-7699	115	7	and	and	CCONJ
ap-7699	115	8	some	some	PRON
ap-7699	115	9	coupling	couple	VERB
ap-7699	115	10	parameters	parameter	NOUN
ap-7699	115	11	vanish	vanish	VERB
ap-7699	115	12	may	may	AUX
ap-7699	115	13	lead	lead	VERB
ap-7699	115	14	to	to	ADP
ap-7699	115	15	restricted	restrict	VERB
ap-7699	115	16	situations	situation	NOUN
ap-7699	115	17	in	in	ADP
ap-7699	115	18	which	which	PRON
ap-7699	115	19	full	full	ADJ
ap-7699	115	20	renormalizability	renormalizability	NOUN
ap-7699	115	21	is	be	AUX
ap-7699	115	22	not	not	PART
ap-7699	115	23	realized	realize	VERB
ap-7699	115	24	.	.	PUNCT
ap-7699	116	1	we	we	PRON
ap-7699	116	2	discuss	discuss	VERB
ap-7699	116	3	such	such	ADJ
ap-7699	116	4	special	special	ADJ
ap-7699	116	5	limiting	limiting	NOUN
ap-7699	116	6	cases	case	NOUN
ap-7699	116	7	in	in	ADP
ap-7699	116	8	further	further	ADJ
ap-7699	116	9	sections	section	NOUN
ap-7699	116	10	of	of	ADP
ap-7699	116	11	this	this	DET
ap-7699	116	12	paper	paper	NOUN
ap-7699	116	13	.	.	PUNCT
ap-7699	117	1	the	the	DET
ap-7699	117	2	argument	argument	NOUN
ap-7699	117	3	with	with	ADP
ap-7699	117	4	the	the	DET
ap-7699	117	5	first	first	ADJ
ap-7699	117	6	renormalizable	renormalizable	ADJ
ap-7699	117	7	theory	theory	NOUN
ap-7699	117	8	is	be	AUX
ap-7699	117	9	a	a	DET
ap-7699	117	10	very	very	ADV
ap-7699	117	11	similar	similar	ADJ
ap-7699	117	12	in	in	ADP
ap-7699	117	13	type	type	NOUN
ap-7699	117	14	to	to	ADP
ap-7699	117	15	the	the	DET
ap-7699	117	16	quantum	quantum	NOUN
ap-7699	117	17	induced	induce	VERB
ap-7699	117	18	action	action	NOUN
ap-7699	117	19	from	from	ADP
ap-7699	117	20	matter	matter	NOUN
ap-7699	117	21	fields	field	NOUN
ap-7699	117	22	,	,	PUNCT
ap-7699	117	23	but	but	CCONJ
ap-7699	117	24	this	this	DET
ap-7699	117	25	time	time	NOUN
ap-7699	117	26	the	the	DET
ap-7699	117	27	particles	particle	NOUN
ap-7699	117	28	which	which	PRON
ap-7699	117	29	run	run	VERB
ap-7699	117	30	in	in	ADP
ap-7699	117	31	the	the	DET
ap-7699	117	32	perturbative	perturbative	ADJ
ap-7699	117	33	loops	loop	NOUN
ap-7699	117	34	of	of	ADP
ap-7699	117	35	feynman	feynman	PROPN
ap-7699	117	36	diagrams	diagram	NOUN
ap-7699	117	37	are	be	AUX
ap-7699	117	38	quantum	quantum	ADJ
ap-7699	117	39	gravitons	graviton	NOUN
ap-7699	117	40	themselves	themselves	PRON
ap-7699	117	41	.	.	PUNCT
ap-7699	118	1	so	so	ADV
ap-7699	118	2	this	this	DET
ap-7699	118	3	argument	argument	NOUN
ap-7699	118	4	about	about	ADP
ap-7699	118	5	renormalizability	renormalizability	NOUN
ap-7699	118	6	applies	apply	VERB
ap-7699	118	7	to	to	ADP
ap-7699	118	8	pure	pure	ADJ
ap-7699	118	9	quantum	quantum	ADJ
ap-7699	118	10	gravity	gravity	NOUN
ap-7699	118	11	cases	case	NOUN
ap-7699	118	12	.	.	PUNCT
ap-7699	119	1	unfortunately	unfortunately	ADV
ap-7699	119	2	,	,	PUNCT
ap-7699	119	3	the	the	DET
ap-7699	119	4	original	original	ADJ
ap-7699	119	5	einstein	einstein	ADJ
ap-7699	119	6	-	-	PUNCT
ap-7699	119	7	hilbert	hilbert	NOUN
ap-7699	119	8	action	action	NOUN
ap-7699	119	9	for	for	ADP
ap-7699	119	10	qg	qg	PROPN
ap-7699	119	11	model	model	NOUN
ap-7699	119	12	is	be	AUX
ap-7699	119	13	not	not	PART
ap-7699	119	14	renormalizable	renormalizable	ADJ
ap-7699	119	15	(	(	PUNCT
ap-7699	119	16	at	at	ADP
ap-7699	119	17	least	least	ADJ
ap-7699	119	18	not	not	PART
ap-7699	119	19	perturbatively	perturbatively	ADV
ap-7699	119	20	)	)	PUNCT
ap-7699	119	21	in	in	ADP
ap-7699	119	22	d	d	PROPN
ap-7699	119	23	=	=	SYM
ap-7699	119	24	4	4	NUM
ap-7699	119	25	dimensions	dimension	NOUN
ap-7699	119	26	[	[	X
ap-7699	119	27	15–18	15–18	NUM
ap-7699	119	28	]	]	X
ap-7699	119	29	.	.	PUNCT
ap-7699	120	1	the	the	DET
ap-7699	120	2	problems	problem	NOUN
ap-7699	120	3	show	show	VERB
ap-7699	120	4	up	up	ADP
ap-7699	120	5	when	when	SCONJ
ap-7699	120	6	one	one	PRON
ap-7699	120	7	goes	go	VERB
ap-7699	120	8	off	off	ADP
ap-7699	120	9	-	-	PUNCT
ap-7699	120	10	shell	shell	NOUN
ap-7699	120	11	,	,	PUNCT
ap-7699	120	12	couples	couple	NOUN
ap-7699	120	13	some	some	DET
ap-7699	120	14	matter	matter	NOUN
ap-7699	120	15	,	,	PUNCT
ap-7699	120	16	or	or	CCONJ
ap-7699	120	17	goes	go	VERB
ap-7699	120	18	to	to	ADP
ap-7699	120	19	the	the	DET
ap-7699	120	20	two	two	NUM
ap-7699	120	21	-	-	PUNCT
ap-7699	120	22	loop	loop	NOUN
ap-7699	120	23	order	order	NOUN
ap-7699	120	24	,	,	PUNCT
ap-7699	120	25	while	while	SCONJ
ap-7699	120	26	at	at	ADP
ap-7699	120	27	the	the	DET
ap-7699	120	28	first	first	ADJ
ap-7699	120	29	loop	loop	NOUN
ap-7699	120	30	order	order	NOUN
ap-7699	120	31	with	with	ADP
ap-7699	120	32	pure	pure	ADJ
ap-7699	120	33	e	e	NOUN
ap-7699	120	34	-	-	ADJ
ap-7699	120	35	h	h	ADJ
ap-7699	120	36	gravitational	gravitational	ADJ
ap-7699	120	37	action	action	NOUN
ap-7699	120	38	on	on	ADP
ap-7699	120	39	-	-	PUNCT
ap-7699	120	40	shell	shell	NOUN
ap-7699	120	41	all	all	DET
ap-7699	120	42	uv	uv	NOUN
ap-7699	120	43	divergences	divergence	NOUN
ap-7699	120	44	could	could	AUX
ap-7699	120	45	be	be	AUX
ap-7699	120	46	successfully	successfully	ADV
ap-7699	120	47	absorbed	absorb	VERB
ap-7699	120	48	[	[	PUNCT
ap-7699	120	49	15	15	NUM
ap-7699	120	50	]	]	PUNCT
ap-7699	120	51	on	on	ADP
ap-7699	120	52	einstein	einstein	PROPN
ap-7699	120	53	vacuum	vacuum	PROPN
ap-7699	120	54	backgrounds	backgrounds	PROPN
ap-7699	120	55	(	(	PUNCT
ap-7699	120	56	so	so	ADV
ap-7699	120	57	on	on	ADP
ap-7699	120	58	ricci	ricci	NOUN
ap-7699	120	59	-	-	PUNCT
ap-7699	120	60	flat	flat	ADJ
ap-7699	120	61	configurations	configuration	NOUN
ap-7699	120	62	)	)	PUNCT
ap-7699	120	63	.	.	PUNCT
ap-7699	121	1	actually	actually	ADV
ap-7699	121	2	,	,	PUNCT
ap-7699	121	3	in	in	ADP
ap-7699	121	4	such	such	DET
ap-7699	121	5	a	a	DET
ap-7699	121	6	case	case	NOUN
ap-7699	121	7	in	in	ADP
ap-7699	121	8	vacuum	vacuum	NOUN
ap-7699	121	9	configurations	configuration	NOUN
ap-7699	121	10	the	the	DET
ap-7699	121	11	theory	theory	NOUN
ap-7699	121	12	at	at	ADP
ap-7699	121	13	the	the	DET
ap-7699	121	14	one	one	NUM
ap-7699	121	15	-	-	PUNCT
ap-7699	121	16	loop	loop	NOUN
ap-7699	121	17	level	level	NOUN
ap-7699	121	18	is	be	AUX
ap-7699	121	19	completely	completely	ADV
ap-7699	121	20	uv	uv	NOUN
ap-7699	121	21	-	-	PUNCT
ap-7699	121	22	finite	finite	NOUN
ap-7699	121	23	.	.	PUNCT
ap-7699	122	1	there	there	PRON
ap-7699	122	2	are	be	VERB
ap-7699	122	3	also	also	ADV
ap-7699	122	4	other	other	ADJ
ap-7699	122	5	ways	way	NOUN
ap-7699	122	6	how	how	SCONJ
ap-7699	122	7	one	one	PRON
ap-7699	122	8	can	can	AUX
ap-7699	122	9	on	on	ADP
ap-7699	122	10	the	the	DET
ap-7699	122	11	quantum	quantum	ADJ
ap-7699	122	12	level	level	NOUN
ap-7699	122	13	induce	induce	VERB
ap-7699	122	14	the	the	DET
ap-7699	122	15	higher	high	ADJ
ap-7699	122	16	-	-	PUNCT
ap-7699	122	17	derivative	derivative	ADJ
ap-7699	122	18	terms	term	NOUN
ap-7699	122	19	in	in	ADP
ap-7699	122	20	the	the	DET
ap-7699	122	21	gravitational	gravitational	ADJ
ap-7699	122	22	actions	action	NOUN
ap-7699	122	23	,	,	PUNCT
ap-7699	122	24	although	although	SCONJ
ap-7699	122	25	these	these	DET
ap-7699	122	26	further	further	ADJ
ap-7699	122	27	arguments	argument	NOUN
ap-7699	122	28	are	be	AUX
ap-7699	122	29	all	all	ADV
ap-7699	122	30	related	related	ADJ
ap-7699	122	31	to	to	ADP
ap-7699	122	32	the	the	DET
ap-7699	122	33	original	original	ADJ
ap-7699	122	34	one	one	NUM
ap-7699	122	35	from	from	ADP
ap-7699	122	36	dewitt	dewitt	PROPN
ap-7699	122	37	and	and	CCONJ
ap-7699	122	38	utiyama	utiyama	PROPN
ap-7699	122	39	.	.	PUNCT
ap-7699	123	1	one	one	NUM
ap-7699	123	2	can	can	AUX
ap-7699	123	3	,	,	PUNCT
ap-7699	123	4	for	for	ADP
ap-7699	123	5	example	example	NOUN
ap-7699	123	6	,	,	PUNCT
ap-7699	123	7	consider	consider	VERB
ap-7699	123	8	integrating	integrate	VERB
ap-7699	123	9	out	out	ADP
ap-7699	123	10	completely	completely	ADV
ap-7699	123	11	quantum	quantum	NOUN
ap-7699	123	12	matter	matter	NOUN
ap-7699	123	13	species	specie	NOUN
ap-7699	123	14	on	on	ADP
ap-7699	123	15	the	the	DET
ap-7699	123	16	level	level	NOUN
ap-7699	123	17	of	of	ADP
ap-7699	123	18	functional	functional	ADJ
ap-7699	123	19	integral	integral	ADJ
ap-7699	123	20	which	which	PRON
ap-7699	123	21	represents	represent	VERB
ap-7699	123	22	all	all	DET
ap-7699	123	23	accessible	accessible	ADJ
ap-7699	123	24	information	information	NOUN
ap-7699	123	25	of	of	ADP
ap-7699	123	26	the	the	DET
ap-7699	123	27	quantum	quantum	ADJ
ap-7699	123	28	theory	theory	NOUN
ap-7699	123	29	.	.	PUNCT
ap-7699	124	1	in	in	ADP
ap-7699	124	2	the	the	DET
ap-7699	124	3	situation	situation	NOUN
ap-7699	124	4	,	,	PUNCT
ap-7699	124	5	when	when	SCONJ
ap-7699	124	6	these	these	PRON
ap-7699	124	7	matter	matter	NOUN
ap-7699	124	8	species	specie	NOUN
ap-7699	124	9	are	be	AUX
ap-7699	124	10	coupled	couple	VERB
ap-7699	124	11	to	to	ADP
ap-7699	124	12	some	some	DET
ap-7699	124	13	background	background	NOUN
ap-7699	124	14	gravitational	gravitational	ADJ
ap-7699	124	15	field	field	NOUN
ap-7699	124	16	,	,	PUNCT
ap-7699	124	17	then	then	ADV
ap-7699	124	18	the	the	DET
ap-7699	124	19	resulting	result	VERB
ap-7699	124	20	partition	partition	NOUN
ap-7699	124	21	function	function	NOUN
ap-7699	124	22	z	z	NOUN
ap-7699	124	23	is	be	AUX
ap-7699	124	24	a	a	DET
ap-7699	124	25	functional	functional	ADJ
ap-7699	124	26	of	of	ADP
ap-7699	124	27	the	the	DET
ap-7699	124	28	background	background	NOUN
ap-7699	124	29	gravitational	gravitational	ADJ
ap-7699	124	30	field	field	NOUN
ap-7699	124	31	.	.	PUNCT
ap-7699	125	1	not	not	PART
ap-7699	125	2	surprisingly	surprisingly	ADV
ap-7699	125	3	,	,	PUNCT
ap-7699	125	4	this	this	DET
ap-7699	125	5	functional	functional	ADJ
ap-7699	125	6	is	be	AUX
ap-7699	125	7	of	of	ADP
ap-7699	125	8	the	the	DET
ap-7699	125	9	higher	high	ADJ
ap-7699	125	10	-	-	PUNCT
ap-7699	125	11	derivative	derivative	ADJ
ap-7699	125	12	nature	nature	NOUN
ap-7699	125	13	in	in	ADP
ap-7699	125	14	terms	term	NOUN
ap-7699	125	15	of	of	ADP
ap-7699	125	16	number	number	NOUN
ap-7699	125	17	of	of	ADP
ap-7699	125	18	derivatives	derivative	NOUN
ap-7699	125	19	of	of	ADP
ap-7699	125	20	the	the	DET
ap-7699	125	21	fundamental	fundamental	ADJ
ap-7699	125	22	metric	metric	ADJ
ap-7699	125	23	field	field	NOUN
ap-7699	125	24	,	,	PUNCT
ap-7699	125	25	if	if	SCONJ
ap-7699	125	26	we	we	PRON
ap-7699	125	27	work	work	VERB
ap-7699	125	28	in	in	ADP
ap-7699	125	29	the	the	DET
ap-7699	125	30	dimension	dimension	NOUN
ap-7699	126	1	d	d	X
ap-7699	126	2	>	>	X
ap-7699	126	3	2	2	X
ap-7699	126	4	.	.	PUNCT
ap-7699	127	1	this	this	DET
ap-7699	127	2	reasoning	reasoning	NOUN
ap-7699	127	3	was	be	AUX
ap-7699	127	4	for	for	ADP
ap-7699	127	5	example	example	NOUN
ap-7699	127	6	popularized	popularize	VERB
ap-7699	127	7	by	by	ADP
ap-7699	127	8	’	'	PUNCT
ap-7699	127	9	t	t	PROPN
ap-7699	127	10	hooft	hooft	NOUN
ap-7699	128	1	[	[	X
ap-7699	128	2	19–21	19–21	NUM
ap-7699	128	3	]	]	X
ap-7699	128	4	,	,	PUNCT
ap-7699	128	5	especially	especially	ADV
ap-7699	128	6	since	since	SCONJ
ap-7699	128	7	in	in	ADP
ap-7699	128	8	d	d	NOUN
ap-7699	128	9	=	=	SYM
ap-7699	128	10	4	4	NUM
ap-7699	128	11	it	it	PRON
ap-7699	128	12	can	can	AUX
ap-7699	128	13	give	give	VERB
ap-7699	128	14	rise	rise	NOUN
ap-7699	128	15	to	to	ADP
ap-7699	128	16	another	another	DET
ap-7699	128	17	motivations	motivation	NOUN
ap-7699	128	18	for	for	ADP
ap-7699	128	19	conformal	conformal	ADJ
ap-7699	128	20	gravity	gravity	NOUN
ap-7699	128	21	as	as	ADP
ap-7699	128	22	a	a	DET
ap-7699	128	23	quantum	quantum	ADJ
ap-7699	128	24	consistent	consistent	ADJ
ap-7699	128	25	model	model	NOUN
ap-7699	128	26	of	of	ADP
ap-7699	128	27	conformal	conformal	ADJ
ap-7699	128	28	and	and	CCONJ
ap-7699	128	29	gravitational	gravitational	ADJ
ap-7699	128	30	interactions	interaction	NOUN
ap-7699	128	31	,	,	PUNCT
ap-7699	128	32	when	when	SCONJ
ap-7699	128	33	massless	massless	NOUN
ap-7699	128	34	fields	field	NOUN
ap-7699	128	35	are	be	AUX
ap-7699	128	36	integrated	integrate	VERB
ap-7699	128	37	out	out	ADP
ap-7699	128	38	in	in	ADP
ap-7699	128	39	the	the	DET
ap-7699	128	40	path	path	NOUN
ap-7699	128	41	integral	integral	ADJ
ap-7699	128	42	.	.	PUNCT
ap-7699	129	1	in	in	ADP
ap-7699	129	2	this	this	DET
ap-7699	129	3	way	way	NOUN
ap-7699	129	4	we	we	PRON
ap-7699	129	5	can	can	AUX
ap-7699	129	6	discover	discover	VERB
ap-7699	129	7	the	the	DET
ap-7699	129	8	quantum	quantum	ADJ
ap-7699	129	9	consistent	consistent	ADJ
ap-7699	129	10	dynamics	dynamic	NOUN
ap-7699	129	11	of	of	ADP
ap-7699	129	12	the	the	DET
ap-7699	129	13	gravitational	gravitational	ADJ
ap-7699	129	14	field	field	NOUN
ap-7699	129	15	even	even	ADV
ap-7699	129	16	if	if	SCONJ
ap-7699	129	17	we	we	PRON
ap-7699	129	18	did	do	AUX
ap-7699	129	19	not	not	PART
ap-7699	129	20	know	know	VERB
ap-7699	129	21	that	that	SCONJ
ap-7699	129	22	such	such	ADJ
ap-7699	129	23	quantum	quantum	ADJ
ap-7699	129	24	fields	field	NOUN
ap-7699	129	25	mediating	mediate	VERB
ap-7699	129	26	gravitational	gravitational	ADJ
ap-7699	129	27	interactions	interaction	NOUN
ap-7699	129	28	between	between	ADP
ap-7699	129	29	particles	particle	NOUN
ap-7699	129	30	existed	exist	VERB
ap-7699	129	31	in	in	ADP
ap-7699	129	32	the	the	DET
ap-7699	129	33	first	first	ADJ
ap-7699	129	34	place	place	NOUN
ap-7699	129	35	.	.	PUNCT
ap-7699	130	1	the	the	DET
ap-7699	130	2	graviton	graviton	NOUN
ap-7699	130	3	becomes	become	VERB
ap-7699	130	4	a	a	DET
ap-7699	130	5	propagating	propagate	VERB
ap-7699	130	6	particle	particle	NOUN
ap-7699	130	7	and	and	CCONJ
ap-7699	130	8	with	with	ADP
ap-7699	130	9	higher	high	ADJ
ap-7699	130	10	-	-	PUNCT
ap-7699	130	11	derivative	derivative	ADJ
ap-7699	130	12	form	form	NOUN
ap-7699	130	13	of	of	ADP
ap-7699	130	14	the	the	DET
ap-7699	130	15	propagator	propagator	NOUN
ap-7699	130	16	,	,	PUNCT
ap-7699	130	17	which	which	PRON
ap-7699	130	18	translates	translate	VERB
ap-7699	130	19	in	in	ADP
ap-7699	130	20	momentum	momentum	NOUN
ap-7699	130	21	space	space	NOUN
ap-7699	130	22	to	to	ADP
ap-7699	130	23	the	the	DET
ap-7699	130	24	enhanced	enhance	VERB
ap-7699	130	25	suppression	suppression	NOUN
ap-7699	130	26	of	of	ADP
ap-7699	130	27	the	the	DET
ap-7699	130	28	fall	fall	NOUN
ap-7699	130	29	-	-	PUNCT
ap-7699	130	30	off	off	NOUN
ap-7699	130	31	of	of	ADP
ap-7699	130	32	the	the	DET
ap-7699	130	33	propagator	propagator	NOUN
ap-7699	130	34	for	for	ADP
ap-7699	130	35	large	large	ADJ
ap-7699	130	36	momenta	momenta	NOUN
ap-7699	130	37	in	in	ADP
ap-7699	130	38	the	the	DET
ap-7699	130	39	uv	uv	NOUN
ap-7699	130	40	regime	regime	NOUN
ap-7699	130	41	.	.	PUNCT
ap-7699	131	1	this	this	PRON
ap-7699	131	2	is	be	AUX
ap-7699	131	3	due	due	ADJ
ap-7699	131	4	to	to	ADP
ap-7699	131	5	the	the	DET
ap-7699	131	6	additional	additional	ADJ
ap-7699	131	7	higher	high	ADJ
ap-7699	131	8	powers	power	NOUN
ap-7699	131	9	of	of	ADP
ap-7699	131	10	propagating	propagate	VERB
ap-7699	131	11	momentum	momentum	NOUN
ap-7699	131	12	in	in	ADP
ap-7699	131	13	the	the	DET
ap-7699	131	14	perturbative	perturbative	ADJ
ap-7699	131	15	expression	expression	NOUN
ap-7699	131	16	for	for	ADP
ap-7699	131	17	the	the	DET
ap-7699	131	18	graviton	graviton	NOUN
ap-7699	131	19	’s	’s	PART
ap-7699	131	20	propagator	propagator	NOUN
ap-7699	131	21	.	.	PUNCT
ap-7699	132	1	this	this	DET
ap-7699	132	2	enhanced	enhance	VERB
ap-7699	132	3	uv	uv	NOUN
ap-7699	132	4	decaying	decay	VERB
ap-7699	132	5	form	form	NOUN
ap-7699	132	6	of	of	ADP
ap-7699	132	7	the	the	DET
ap-7699	132	8	propagator	propagator	NOUN
ap-7699	132	9	is	be	AUX
ap-7699	132	10	what	what	PRON
ap-7699	132	11	makes	make	VERB
ap-7699	132	12	the	the	DET
ap-7699	132	13	uv	uv	NOUN
ap-7699	132	14	divergences	divergence	NOUN
ap-7699	132	15	under	under	ADP
ap-7699	132	16	perturbative	perturbative	ADJ
ap-7699	132	17	control	control	NOUN
ap-7699	132	18	and	and	CCONJ
ap-7699	132	19	what	what	PRON
ap-7699	132	20	makes	make	VERB
ap-7699	132	21	the	the	DET
ap-7699	132	22	theory	theory	NOUN
ap-7699	132	23	at	at	ADP
ap-7699	132	24	the	the	DET
ap-7699	132	25	end	end	NOUN
ap-7699	132	26	renormalizable	renormalizable	NOUN
ap-7699	132	27	.	.	PUNCT
ap-7699	133	1	besides	besides	SCONJ
ap-7699	133	2	a	a	DET
ap-7699	133	3	few	few	ADJ
ap-7699	133	4	(	(	PUNCT
ap-7699	133	5	finite	finite	ADJ
ap-7699	133	6	number	number	NOUN
ap-7699	133	7	of	of	ADP
ap-7699	133	8	)	)	PUNCT
ap-7699	133	9	controlled	control	VERB
ap-7699	133	10	uv	uv	NOUN
ap-7699	133	11	divergences	divergence	NOUN
ap-7699	133	12	the	the	DET
ap-7699	133	13	theory	theory	NOUN
ap-7699	133	14	is	be	AUX
ap-7699	133	15	convergent	convergent	ADJ
ap-7699	133	16	and	and	CCONJ
ap-7699	133	17	gives	give	VERB
ap-7699	133	18	finite	finite	PRON
ap-7699	133	19	perturbative	perturbative	ADJ
ap-7699	133	20	answers	answer	NOUN
ap-7699	133	21	to	to	ADP
ap-7699	133	22	many	many	ADJ
ap-7699	133	23	questions	question	NOUN
ap-7699	133	24	one	one	PRON
ap-7699	133	25	can	can	AUX
ap-7699	133	26	pose	pose	VERB
ap-7699	133	27	about	about	ADP
ap-7699	133	28	the	the	DET
ap-7699	133	29	quantum	quantum	ADJ
ap-7699	133	30	dynamics	dynamic	NOUN
ap-7699	133	31	of	of	ADP
ap-7699	133	32	the	the	DET
ap-7699	133	33	gravitational	gravitational	ADJ
ap-7699	133	34	field	field	NOUN
ap-7699	133	35	,	,	PUNCT
ap-7699	133	36	also	also	ADV
ap-7699	133	37	in	in	ADP
ap-7699	133	38	models	model	NOUN
ap-7699	133	39	coupled	couple	VERB
ap-7699	133	40	consistently	consistently	ADV
ap-7699	133	41	to	to	ADP
ap-7699	133	42	quantum	quantum	NOUN
ap-7699	133	43	matter	matter	NOUN
ap-7699	133	44	fields	field	NOUN
ap-7699	133	45	.	.	PUNCT
ap-7699	134	1	another	another	DET
ap-7699	134	2	way	way	NOUN
ap-7699	134	3	is	be	AUX
ap-7699	134	4	to	to	PART
ap-7699	134	5	consider	consider	VERB
ap-7699	134	6	the	the	DET
ap-7699	134	7	theory	theory	NOUN
ap-7699	134	8	of	of	ADP
ap-7699	134	9	einsteinian	einsteinian	ADJ
ap-7699	134	10	gravity	gravity	NOUN
ap-7699	134	11	and	and	CCONJ
ap-7699	134	12	corrections	correction	NOUN
ap-7699	134	13	to	to	ADP
ap-7699	134	14	it	it	PRON
ap-7699	134	15	coming	come	VERB
ap-7699	134	16	from	from	ADP
ap-7699	134	17	higher	high	ADJ
ap-7699	134	18	dimensional	dimensional	ADJ
ap-7699	134	19	theories	theory	NOUN
ap-7699	134	20	.	.	PUNCT
ap-7699	135	1	one	one	PRON
ap-7699	135	2	should	should	AUX
ap-7699	135	3	already	already	ADV
ap-7699	135	4	understood	understand	VERB
ap-7699	135	5	from	from	ADP
ap-7699	135	6	the	the	DET
ap-7699	135	7	discussion	discussion	NOUN
ap-7699	135	8	above	above	ADP
ap-7699	135	9	,	,	PUNCT
ap-7699	135	10	that	that	SCONJ
ap-7699	135	11	e	e	NOUN
ap-7699	135	12	-	-	NOUN
ap-7699	135	13	h	h	ADJ
ap-7699	135	14	action	action	NOUN
ap-7699	135	15	is	be	AUX
ap-7699	135	16	a	a	DET
ap-7699	135	17	good	good	ADJ
ap-7699	135	18	quantum	quantum	NOUN
ap-7699	135	19	action	action	NOUN
ap-7699	135	20	for	for	ADP
ap-7699	135	21	the	the	DET
ap-7699	135	22	qg	qg	PROPN
ap-7699	135	23	model	model	NOUN
ap-7699	135	24	only	only	ADV
ap-7699	135	25	in	in	ADP
ap-7699	135	26	the	the	DET
ap-7699	135	27	special	special	ADJ
ap-7699	135	28	2	2	NUM
ap-7699	135	29	-	-	PUNCT
ap-7699	135	30	dimensional	dimensional	ADJ
ap-7699	135	31	case	case	NOUN
ap-7699	135	32	.	.	PUNCT
ap-7699	136	1	there	there	ADV
ap-7699	136	2	in	in	ADP
ap-7699	136	3	d	d	NOUN
ap-7699	136	4	=	=	SYM
ap-7699	136	5	2	2	NUM
ap-7699	136	6	qg	qg	PROPN
ap-7699	136	7	is	be	AUX
ap-7699	136	8	very	very	ADV
ap-7699	136	9	special	special	ADJ
ap-7699	136	10	renormalizable	renormalizable	ADJ
ap-7699	136	11	and	and	CCONJ
ap-7699	136	12	finite	finite	ADJ
ap-7699	136	13	theory	theory	NOUN
ap-7699	136	14	,	,	PUNCT
ap-7699	136	15	but	but	CCONJ
ap-7699	136	16	without	without	ADP
ap-7699	136	17	dynamical	dynamical	ADJ
ap-7699	136	18	content	content	NOUN
ap-7699	136	19	resembling	resemble	VERB
ap-7699	136	20	anything	anything	PRON
ap-7699	136	21	what	what	PRON
ap-7699	136	22	is	be	AUX
ap-7699	136	23	known	know	VERB
ap-7699	136	24	from	from	ADP
ap-7699	136	25	four	four	NUM
ap-7699	136	26	dimensions	dimension	NOUN
ap-7699	136	27	(	(	PUNCT
ap-7699	136	28	like	like	ADP
ap-7699	136	29	for	for	ADP
ap-7699	136	30	example	example	NOUN
ap-7699	136	31	the	the	DET
ap-7699	136	32	existence	existence	NOUN
ap-7699	136	33	of	of	ADP
ap-7699	136	34	gravitational	gravitational	ADJ
ap-7699	136	35	waves	wave	NOUN
ap-7699	136	36	,	,	PUNCT
ap-7699	136	37	graviton	graviton	NOUN
ap-7699	136	38	spin-2	spin-2	NOUN
ap-7699	136	39	particles	particle	NOUN
ap-7699	136	40	,	,	PUNCT
ap-7699	136	41	etc	etc	X
ap-7699	136	42	.	.	X
ap-7699	136	43	)	)	PUNCT
ap-7699	136	44	.	.	PUNCT
ap-7699	137	1	this	this	PRON
ap-7699	137	2	is	be	AUX
ap-7699	137	3	again	again	ADV
ap-7699	137	4	due	due	ADJ
ap-7699	137	5	to	to	ADP
ap-7699	137	6	infinite	infinite	VERB
ap-7699	137	7	power	power	NOUN
ap-7699	137	8	of	of	ADP
ap-7699	137	9	conformal	conformal	ADJ
ap-7699	137	10	symmetry	symmetry	NOUN
ap-7699	137	11	in	in	ADP
ap-7699	137	12	d	d	PROPN
ap-7699	137	13	=	=	SYM
ap-7699	137	14	2	2	NUM
ap-7699	137	15	case	case	NOUN
ap-7699	137	16	.	.	PUNCT
ap-7699	138	1	instead	instead	ADV
ap-7699	138	2	,	,	PUNCT
ap-7699	138	3	if	if	SCONJ
ap-7699	138	4	one	one	PRON
ap-7699	138	5	considers	consider	VERB
ap-7699	138	6	higher	high	ADJ
ap-7699	138	7	dimensions	dimension	NOUN
ap-7699	138	8	like	like	ADP
ap-7699	138	9	6	6	NUM
ap-7699	138	10	,	,	PUNCT
ap-7699	138	11	8	8	NUM
ap-7699	138	12	,	,	PUNCT
ap-7699	138	13	etc	etc	X
ap-7699	138	14	.	.	X
ap-7699	138	15	and	and	CCONJ
ap-7699	138	16	then	then	ADV
ap-7699	138	17	compactifies	compactifie	VERB
ap-7699	138	18	them	they	PRON
ap-7699	138	19	to	to	ADP
ap-7699	138	20	common	common	ADJ
ap-7699	138	21	4	4	NUM
ap-7699	138	22	-	-	PUNCT
ap-7699	138	23	dimensional	dimensional	ADJ
ap-7699	138	24	case	case	NOUN
ap-7699	138	25	,	,	PUNCT
ap-7699	138	26	one	one	PRON
ap-7699	138	27	finds	find	VERB
ap-7699	138	28	that	that	SCONJ
ap-7699	138	29	even	even	ADV
ap-7699	138	30	if	if	SCONJ
ap-7699	138	31	in	in	ADP
ap-7699	138	32	the	the	DET
ap-7699	138	33	higher	high	ADJ
ap-7699	138	34	dimensions	dimension	NOUN
ap-7699	138	35	one	one	NUM
ap-7699	138	36	had	have	VERB
ap-7699	138	37	to	to	PART
ap-7699	138	38	deal	deal	VERB
ap-7699	138	39	with	with	ADP
ap-7699	138	40	the	the	DET
ap-7699	138	41	two	two	NUM
ap-7699	138	42	-	-	PUNCT
ap-7699	138	43	derivative	derivative	NOUN
ap-7699	138	44	theory	theory	NOUN
ap-7699	138	45	based	base	VERB
ap-7699	138	46	on	on	ADP
ap-7699	138	47	the	the	DET
ap-7699	138	48	einstein	einstein	ADJ
ap-7699	138	49	-	-	PUNCT
ap-7699	138	50	hilbert	hilbert	PROPN
ap-7699	138	51	action	action	NOUN
ap-7699	138	52	,	,	PUNCT
ap-7699	138	53	then	then	ADV
ap-7699	138	54	in	in	ADP
ap-7699	138	55	the	the	DET
ap-7699	138	56	reduced	reduce	VERB
ap-7699	138	57	case	case	NOUN
ap-7699	138	58	in	in	ADP
ap-7699	138	59	four	four	NUM
ap-7699	138	60	dimensions	dimension	NOUN
ap-7699	138	61	,	,	PUNCT
ap-7699	138	62	one	one	PRON
ap-7699	138	63	again	again	ADV
ap-7699	138	64	finds	find	VERB
ap-7699	138	65	effective	effective	ADJ
ap-7699	138	66	(	(	PUNCT
ap-7699	138	67	dimensionally	dimensionally	ADV
ap-7699	138	68	reduced	reduce	VERB
ap-7699	138	69	)	)	PUNCT
ap-7699	138	70	action	action	NOUN
ap-7699	138	71	with	with	ADP
ap-7699	138	72	four	four	NUM
ap-7699	138	73	derivatives	derivative	NOUN
ap-7699	138	74	.	.	PUNCT
ap-7699	139	1	these	these	DET
ap-7699	139	2	types	type	NOUN
ap-7699	139	3	of	of	ADP
ap-7699	139	4	arguments	argument	NOUN
ap-7699	139	5	were	be	AUX
ap-7699	139	6	recently	recently	ADV
ap-7699	139	7	invoked	invoke	VERB
ap-7699	139	8	by	by	ADP
ap-7699	139	9	maldacena	maldacena	NOUN
ap-7699	139	10	[	[	X
ap-7699	139	11	22	22	NUM
ap-7699	139	12	]	]	PUNCT
ap-7699	139	13	in	in	ADP
ap-7699	139	14	order	order	NOUN
ap-7699	139	15	to	to	PART
ap-7699	139	16	study	study	VERB
ap-7699	139	17	higher	high	ADJ
ap-7699	139	18	-	-	PUNCT
ap-7699	139	19	derivative	derivative	ADJ
ap-7699	139	20	(	(	PUNCT
ap-7699	139	21	and	and	CCONJ
ap-7699	139	22	conformal	conformal	ADJ
ap-7699	139	23	)	)	PUNCT
ap-7699	139	24	gravities	gravity	NOUN
ap-7699	139	25	from	from	ADP
ap-7699	139	26	the	the	DET
ap-7699	139	27	121	121	NUM
ap-7699	139	28	lesław	lesław	NOUN
ap-7699	139	29	rachwał	rachwał	PROPN
ap-7699	139	30	acta	acta	PROPN
ap-7699	139	31	polytechnica	polytechnica	PROPN
ap-7699	139	32	point	point	NOUN
ap-7699	139	33	of	of	ADP
ap-7699	139	34	view	view	NOUN
ap-7699	139	35	of	of	ADP
ap-7699	139	36	higher	high	ADJ
ap-7699	139	37	dimensions	dimension	NOUN
ap-7699	139	38	,	,	PUNCT
ap-7699	139	39	when	when	SCONJ
ap-7699	139	40	the	the	DET
ap-7699	139	41	process	process	NOUN
ap-7699	139	42	of	of	ADP
ap-7699	139	43	integration	integration	NOUN
ap-7699	139	44	out	out	ADP
ap-7699	139	45	of	of	ADP
ap-7699	139	46	quantum	quantum	NOUN
ap-7699	139	47	modes	mode	NOUN
ap-7699	139	48	already	already	ADV
ap-7699	139	49	took	take	VERB
ap-7699	139	50	place	place	NOUN
ap-7699	139	51	and	and	CCONJ
ap-7699	139	52	one	one	NUM
ap-7699	139	53	derives	derive	VERB
ap-7699	139	54	a	a	DET
ap-7699	139	55	new	new	ADJ
ap-7699	139	56	dynamics	dynamic	NOUN
ap-7699	139	57	for	for	ADP
ap-7699	139	58	the	the	DET
ap-7699	139	59	gravitational	gravitational	ADJ
ap-7699	139	60	field	field	NOUN
ap-7699	139	61	based	base	VERB
ap-7699	139	62	on	on	ADP
ap-7699	139	63	some	some	DET
ap-7699	139	64	compactification	compactification	NOUN
ap-7699	139	65	arguments	argument	NOUN
ap-7699	139	66	.	.	PUNCT
ap-7699	140	1	all	all	DET
ap-7699	140	2	this	this	PRON
ap-7699	140	3	above	above	ADV
ap-7699	140	4	shows	show	VERB
ap-7699	140	5	that	that	SCONJ
ap-7699	140	6	many	many	ADJ
ap-7699	140	7	arguments	argument	NOUN
ap-7699	140	8	from	from	ADP
ap-7699	140	9	even	even	ADV
ap-7699	140	10	various	various	ADJ
ap-7699	140	11	different	different	ADJ
ap-7699	140	12	directions	direction	NOUN
ap-7699	140	13	lead	lead	VERB
ap-7699	140	14	to	to	ADP
ap-7699	140	15	the	the	DET
ap-7699	140	16	studies	study	NOUN
ap-7699	140	17	of	of	ADP
ap-7699	140	18	higher	high	ADJ
ap-7699	140	19	-	-	PUNCT
ap-7699	140	20	derivative	derivative	ADJ
ap-7699	140	21	gravitational	gravitational	ADJ
ap-7699	140	22	theories	theory	NOUN
ap-7699	140	23	in	in	ADP
ap-7699	140	24	dimensions	dimension	NOUN
ap-7699	140	25	of	of	ADP
ap-7699	140	26	spacetime	spacetime	NOUN
ap-7699	140	27	d	d	PROPN
ap-7699	140	28	>	>	X
ap-7699	140	29	2	2	NUM
ap-7699	140	30	.	.	PUNCT
ap-7699	140	31	therefore	therefore	ADV
ap-7699	140	32	,	,	PUNCT
ap-7699	140	33	it	it	PRON
ap-7699	140	34	is	be	AUX
ap-7699	140	35	very	very	ADV
ap-7699	140	36	natural	natural	ADJ
ap-7699	140	37	to	to	PART
ap-7699	140	38	quantize	quantize	VERB
ap-7699	140	39	such	such	ADJ
ap-7699	140	40	four	four	NUM
ap-7699	140	41	-	-	PUNCT
ap-7699	140	42	derivative	derivative	ADJ
ap-7699	140	43	theories	theory	NOUN
ap-7699	140	44	(	(	PUNCT
ap-7699	140	45	like	like	SCONJ
ap-7699	140	46	it	it	PRON
ap-7699	140	47	was	be	AUX
ap-7699	140	48	first	first	ADV
ap-7699	140	49	done	do	VERB
ap-7699	140	50	by	by	ADP
ap-7699	140	51	stelle	stelle	PROPN
ap-7699	140	52	)	)	PUNCT
ap-7699	140	53	and	and	CCONJ
ap-7699	140	54	treat	treat	VERB
ap-7699	140	55	them	they	PRON
ap-7699	140	56	as	as	ADP
ap-7699	140	57	a	a	DET
ap-7699	140	58	starting	starting	NOUN
ap-7699	140	59	point	point	NOUN
ap-7699	140	60	for	for	ADP
ap-7699	140	61	discussion	discussion	NOUN
ap-7699	140	62	of	of	ADP
ap-7699	140	63	qg	qg	PROPN
ap-7699	140	64	models	model	NOUN
ap-7699	140	65	in	in	ADP
ap-7699	140	66	d	d	PROPN
ap-7699	140	67	=	=	SYM
ap-7699	140	68	4	4	NUM
ap-7699	140	69	case	case	NOUN
ap-7699	140	70	.	.	PUNCT
ap-7699	141	1	at	at	ADP
ap-7699	141	2	the	the	DET
ap-7699	141	3	end	end	NOUN
ap-7699	141	4	,	,	PUNCT
ap-7699	141	5	one	one	PRON
ap-7699	141	6	can	can	AUX
ap-7699	141	7	also	also	ADV
ap-7699	141	8	come	come	VERB
ap-7699	141	9	back	back	ADV
ap-7699	141	10	and	and	CCONJ
ap-7699	141	11	try	try	VERB
ap-7699	141	12	to	to	PART
ap-7699	141	13	solve	solve	VERB
ap-7699	141	14	for	for	ADP
ap-7699	141	15	exact	exact	ADJ
ap-7699	141	16	solutions	solution	NOUN
ap-7699	141	17	of	of	ADP
ap-7699	141	18	these	these	DET
ap-7699	141	19	higher	high	ADJ
ap-7699	141	20	-	-	PUNCT
ap-7699	141	21	derivative	derivative	ADJ
ap-7699	141	22	gravitational	gravitational	ADJ
ap-7699	141	23	theories	theory	NOUN
ap-7699	141	24	on	on	ADP
ap-7699	141	25	the	the	DET
ap-7699	141	26	classical	classical	ADJ
ap-7699	141	27	level	level	NOUN
ap-7699	141	28	,	,	PUNCT
ap-7699	141	29	although	although	SCONJ
ap-7699	141	30	due	due	ADJ
ap-7699	141	31	to	to	ADP
ap-7699	141	32	increased	increase	VERB
ap-7699	141	33	level	level	NOUN
ap-7699	141	34	of	of	ADP
ap-7699	141	35	nonlinearities	nonlinearitie	NOUN
ap-7699	141	36	this	this	PRON
ap-7699	141	37	is	be	AUX
ap-7699	141	38	a	a	DET
ap-7699	141	39	very	very	ADV
ap-7699	141	40	difficult	difficult	ADJ
ap-7699	141	41	task	task	NOUN
ap-7699	141	42	[	[	X
ap-7699	141	43	23	23	NUM
ap-7699	141	44	]	]	PUNCT
ap-7699	141	45	.	.	PUNCT
ap-7699	142	1	yet	yet	ADV
ap-7699	142	2	another	another	DET
ap-7699	142	3	argument	argument	NOUN
ap-7699	142	4	is	be	AUX
ap-7699	142	5	based	base	VERB
ap-7699	142	6	on	on	ADP
ap-7699	142	7	apparent	apparent	ADJ
ap-7699	142	8	similarity	similarity	NOUN
ap-7699	142	9	and	and	CCONJ
ap-7699	142	10	symmetry	symmetry	NOUN
ap-7699	142	11	seen	see	VERB
ap-7699	142	12	in	in	ADP
ap-7699	142	13	the	the	DET
ap-7699	142	14	action	action	NOUN
ap-7699	142	15	of	of	ADP
ap-7699	142	16	quadratic	quadratic	ADJ
ap-7699	142	17	gravity	gravity	NOUN
ap-7699	142	18	and	and	CCONJ
ap-7699	142	19	action	action	NOUN
ap-7699	142	20	for	for	ADP
ap-7699	142	21	a	a	DET
ap-7699	142	22	general	general	ADJ
ap-7699	142	23	yang	yang	PROPN
ap-7699	142	24	-	-	PUNCT
ap-7699	142	25	mills	mill	NOUN
ap-7699	142	26	theory	theory	NOUN
ap-7699	142	27	.	.	PUNCT
ap-7699	143	1	both	both	DET
ap-7699	143	2	these	these	DET
ap-7699	143	3	actions	action	NOUN
ap-7699	143	4	are	be	AUX
ap-7699	143	5	quadratic	quadratic	ADJ
ap-7699	143	6	in	in	ADP
ap-7699	143	7	the	the	DET
ap-7699	143	8	corresponding	corresponding	ADJ
ap-7699	143	9	field	field	NOUN
ap-7699	143	10	strengths	strength	NOUN
ap-7699	143	11	(	(	PUNCT
ap-7699	143	12	or	or	CCONJ
ap-7699	143	13	curvatures	curvature	NOUN
ap-7699	143	14	)	)	PUNCT
ap-7699	143	15	.	.	PUNCT
ap-7699	144	1	they	they	PRON
ap-7699	144	2	are	be	AUX
ap-7699	144	3	curvatures	curvature	NOUN
ap-7699	144	4	respectively	respectively	ADV
ap-7699	144	5	in	in	ADP
ap-7699	144	6	the	the	DET
ap-7699	144	7	external	external	ADJ
ap-7699	144	8	spacetime	spacetime	NOUN
ap-7699	144	9	for	for	ADP
ap-7699	144	10	the	the	DET
ap-7699	144	11	gravitational	gravitational	ADJ
ap-7699	144	12	field	field	NOUN
ap-7699	144	13	and	and	CCONJ
ap-7699	144	14	in	in	ADP
ap-7699	144	15	the	the	DET
ap-7699	144	16	internal	internal	ADJ
ap-7699	144	17	space	space	NOUN
ap-7699	144	18	for	for	ADP
ap-7699	144	19	gauge	gauge	ADJ
ap-7699	144	20	degrees	degree	NOUN
ap-7699	144	21	of	of	ADP
ap-7699	144	22	freedom	freedom	NOUN
ap-7699	144	23	.	.	PUNCT
ap-7699	145	1	the	the	DET
ap-7699	145	2	einstein	einstein	PROPN
ap-7699	145	3	-	-	PUNCT
ap-7699	145	4	hilbert	hilbert	PROPN
ap-7699	145	5	action	action	NOUN
ap-7699	145	6	is	be	AUX
ap-7699	145	7	therefore	therefore	ADV
ap-7699	145	8	not	not	PART
ap-7699	145	9	similar	similar	ADJ
ap-7699	145	10	to	to	ADP
ap-7699	145	11	the	the	DET
ap-7699	145	12	f	f	PROPN
ap-7699	145	13	2	2	NUM
ap-7699	145	14	action	action	NOUN
ap-7699	145	15	of	of	ADP
ap-7699	145	16	yang	yang	PROPN
ap-7699	145	17	-	-	PUNCT
ap-7699	145	18	mills	mill	NOUN
ap-7699	145	19	theory	theory	NOUN
ap-7699	145	20	and	and	CCONJ
ap-7699	145	21	the	the	DET
ap-7699	145	22	system	system	NOUN
ap-7699	145	23	of	of	ADP
ap-7699	145	24	einstein	einstein	PROPN
ap-7699	145	25	-	-	PUNCT
ap-7699	145	26	maxwell	maxwell	PROPN
ap-7699	145	27	or	or	CCONJ
ap-7699	145	28	einstein	einstein	PROPN
ap-7699	145	29	-	-	PUNCT
ap-7699	145	30	yang	yang	PROPN
ap-7699	145	31	-	-	PUNCT
ap-7699	145	32	mills	mill	NOUN
ap-7699	145	33	theory	theory	NOUN
ap-7699	145	34	does	do	AUX
ap-7699	145	35	not	not	PART
ap-7699	145	36	look	look	VERB
ap-7699	145	37	symmetric	symmetric	ADJ
ap-7699	145	38	since	since	SCONJ
ap-7699	145	39	the	the	DET
ap-7699	145	40	number	number	NOUN
ap-7699	145	41	of	of	ADP
ap-7699	145	42	curvatures	curvature	NOUN
ap-7699	145	43	in	in	ADP
ap-7699	145	44	two	two	NUM
ap-7699	145	45	sectors	sector	NOUN
ap-7699	145	46	is	be	AUX
ap-7699	145	47	not	not	PART
ap-7699	145	48	properly	properly	ADV
ap-7699	145	49	balanced	balanced	ADJ
ap-7699	145	50	.	.	PUNCT
ap-7699	146	1	of	of	ADP
ap-7699	146	2	course	course	NOUN
ap-7699	146	3	,	,	PUNCT
ap-7699	146	4	this	this	DET
ap-7699	146	5	lack	lack	NOUN
ap-7699	146	6	of	of	ADP
ap-7699	146	7	balance	balance	NOUN
ap-7699	146	8	is	be	AUX
ap-7699	146	9	later	later	ADV
ap-7699	146	10	even	even	ADV
ap-7699	146	11	amplified	amplify	VERB
ap-7699	146	12	to	to	ADP
ap-7699	146	13	the	the	DET
ap-7699	146	14	problematic	problematic	ADJ
ap-7699	146	15	level	level	NOUN
ap-7699	146	16	by	by	ADP
ap-7699	146	17	quantum	quantum	ADJ
ap-7699	146	18	corrections	correction	NOUN
ap-7699	146	19	and	and	CCONJ
ap-7699	146	20	the	the	DET
ap-7699	146	21	presence	presence	NOUN
ap-7699	146	22	of	of	ADP
ap-7699	146	23	unbalanced	unbalanced	ADJ
ap-7699	146	24	uv	uv	NOUN
ap-7699	146	25	divergences	divergence	NOUN
ap-7699	146	26	(	(	PUNCT
ap-7699	146	27	nonrenormalizability	nonrenormalizability	NOUN
ap-7699	146	28	!	!	PUNCT
ap-7699	146	29	)	)	PUNCT
ap-7699	146	30	.	.	PUNCT
ap-7699	147	1	still	still	ADV
ap-7699	147	2	,	,	PUNCT
ap-7699	147	3	already	already	ADV
ap-7699	147	4	on	on	ADP
ap-7699	147	5	the	the	DET
ap-7699	147	6	classical	classical	ADJ
ap-7699	147	7	level	level	NOUN
ap-7699	147	8	,	,	PUNCT
ap-7699	147	9	one	one	PRON
ap-7699	147	10	sees	see	VERB
ap-7699	147	11	some	some	DET
ap-7699	147	12	dichotomy	dichotomy	NOUN
ap-7699	147	13	,	,	PUNCT
ap-7699	147	14	especially	especially	ADV
ap-7699	147	15	when	when	SCONJ
ap-7699	147	16	one	one	PRON
ap-7699	147	17	tries	try	VERB
ap-7699	147	18	to	to	PART
ap-7699	147	19	define	define	VERB
ap-7699	147	20	a	a	DET
ap-7699	147	21	common	common	ADJ
ap-7699	147	22	total	total	ADJ
ap-7699	147	23	covariant	covariant	ADJ
ap-7699	147	24	derivative	derivative	NOUN
ap-7699	147	25	dµ	dµ	PROPN
ap-7699	147	26	(	(	PUNCT
ap-7699	147	27	covariant	covariant	ADJ
ap-7699	147	28	both	both	PRON
ap-7699	147	29	with	with	ADP
ap-7699	147	30	respect	respect	NOUN
ap-7699	147	31	to	to	ADP
ap-7699	147	32	yang	yang	PROPN
ap-7699	147	33	-	-	PUNCT
ap-7699	147	34	mills	mill	NOUN
ap-7699	147	35	internal	internal	ADJ
ap-7699	147	36	group	group	NOUN
ap-7699	147	37	g	g	PROPN
ap-7699	147	38	and	and	CCONJ
ap-7699	147	39	with	with	ADP
ap-7699	147	40	respect	respect	NOUN
ap-7699	147	41	to	to	ADP
ap-7699	147	42	gravitational	gravitational	ADJ
ap-7699	147	43	field	field	NOUN
ap-7699	147	44	)	)	PUNCT
ap-7699	147	45	.	.	PUNCT
ap-7699	148	1	for	for	ADP
ap-7699	148	2	such	such	DET
ap-7699	148	3	an	an	DET
ap-7699	148	4	object	object	NOUN
ap-7699	148	5	,	,	PUNCT
ap-7699	148	6	one	one	PRON
ap-7699	148	7	can	can	AUX
ap-7699	148	8	define	define	VERB
ap-7699	148	9	the	the	DET
ap-7699	148	10	curvature	curvature	NOUN
ap-7699	148	11	fµν	fµν	ADJ
ap-7699	148	12	that	that	PRON
ap-7699	148	13	is	be	AUX
ap-7699	148	14	decomposed	decompose	VERB
ap-7699	148	15	in	in	ADP
ap-7699	148	16	its	its	PRON
ap-7699	148	17	respective	respective	ADJ
ap-7699	148	18	sectors	sector	NOUN
ap-7699	148	19	into	into	ADP
ap-7699	148	20	the	the	DET
ap-7699	148	21	gauge	gauge	ADJ
ap-7699	148	22	field	field	NOUN
ap-7699	148	23	strength	strength	NOUN
ap-7699	148	24	fµν	fµν	PROPN
ap-7699	148	25	and	and	CCONJ
ap-7699	148	26	the	the	DET
ap-7699	148	27	riemann	riemann	PROPN
ap-7699	148	28	gravitational	gravitational	PROPN
ap-7699	148	29	tensor	tensor	NOUN
ap-7699	148	30	rµνρσ	rµνρσ	NOUN
ap-7699	148	31	.	.	PUNCT
ap-7699	149	1	but	but	CCONJ
ap-7699	149	2	the	the	DET
ap-7699	149	3	most	most	ADV
ap-7699	149	4	natural	natural	ADJ
ap-7699	149	5	thing	thing	NOUN
ap-7699	149	6	to	to	PART
ap-7699	149	7	do	do	VERB
ap-7699	149	8	here	here	ADV
ap-7699	149	9	is	be	AUX
ap-7699	149	10	to	to	PART
ap-7699	149	11	consider	consider	VERB
ap-7699	149	12	symmetric	symmetric	ADJ
ap-7699	149	13	action	action	NOUN
ap-7699	149	14	constructed	construct	VERB
ap-7699	149	15	with	with	ADP
ap-7699	149	16	such	such	DET
ap-7699	149	17	a	a	DET
ap-7699	149	18	total	total	ADJ
ap-7699	149	19	curvature	curvature	NOUN
ap-7699	149	20	of	of	ADP
ap-7699	149	21	the	the	DET
ap-7699	149	22	derivative	derivative	NOUN
ap-7699	149	23	dµ	dµ	NOUN
ap-7699	150	1	and	and	CCONJ
ap-7699	150	2	then	then	ADV
ap-7699	150	3	the	the	DET
ap-7699	150	4	generalized	generalized	ADJ
ap-7699	150	5	f2	f2	PROPN
ap-7699	150	6	is	be	AUX
ap-7699	150	7	the	the	DET
ap-7699	150	8	first	first	ADJ
ap-7699	150	9	consistent	consistent	ADJ
ap-7699	150	10	option	option	NOUN
ap-7699	150	11	to	to	PART
ap-7699	150	12	include	include	VERB
ap-7699	150	13	both	both	DET
ap-7699	150	14	dynamics	dynamic	NOUN
ap-7699	150	15	of	of	ADP
ap-7699	150	16	the	the	DET
ap-7699	150	17	non	non	ADJ
ap-7699	150	18	-	-	ADJ
ap-7699	150	19	abelian	abelian	ADJ
ap-7699	150	20	gauge	gauge	NOUN
ap-7699	150	21	field	field	NOUN
ap-7699	150	22	and	and	CCONJ
ap-7699	150	23	also	also	ADV
ap-7699	150	24	of	of	ADP
ap-7699	150	25	the	the	DET
ap-7699	150	26	gravitational	gravitational	ADJ
ap-7699	150	27	field	field	NOUN
ap-7699	150	28	.	.	PUNCT
ap-7699	151	1	as	as	SCONJ
ap-7699	151	2	we	we	PRON
ap-7699	151	3	have	have	AUX
ap-7699	151	4	seen	see	VERB
ap-7699	151	5	this	this	DET
ap-7699	151	6	choice	choice	NOUN
ap-7699	151	7	is	be	AUX
ap-7699	151	8	also	also	ADV
ap-7699	151	9	stable	stable	ADJ
ap-7699	151	10	quantum	quantum	NOUN
ap-7699	151	11	-	-	PUNCT
ap-7699	151	12	mechanically	mechanically	ADV
ap-7699	151	13	[	[	X
ap-7699	151	14	24	24	NUM
ap-7699	151	15	]	]	PUNCT
ap-7699	151	16	since	since	SCONJ
ap-7699	151	17	there	there	PRON
ap-7699	151	18	are	be	VERB
ap-7699	151	19	no	no	DET
ap-7699	151	20	corrections	correction	NOUN
ap-7699	151	21	that	that	PRON
ap-7699	151	22	would	would	AUX
ap-7699	151	23	destabilize	destabilize	VERB
ap-7699	151	24	it	it	PRON
ap-7699	151	25	and	and	CCONJ
ap-7699	151	26	the	the	DET
ap-7699	151	27	only	only	ADJ
ap-7699	151	28	quantum	quantum	ADJ
ap-7699	151	29	corrections	correction	NOUN
ap-7699	151	30	present	present	ADJ
ap-7699	151	31	they	they	PRON
ap-7699	151	32	support	support	VERB
ap-7699	151	33	this	this	DET
ap-7699	151	34	f2	f2	ADJ
ap-7699	151	35	structure	structure	NOUN
ap-7699	151	36	of	of	ADP
ap-7699	151	37	the	the	DET
ap-7699	151	38	theory	theory	NOUN
ap-7699	151	39	,	,	PUNCT
ap-7699	151	40	even	even	ADV
ap-7699	151	41	if	if	SCONJ
ap-7699	151	42	this	this	PRON
ap-7699	151	43	was	be	AUX
ap-7699	151	44	not	not	PART
ap-7699	151	45	there	there	ADV
ap-7699	151	46	from	from	ADP
ap-7699	151	47	the	the	DET
ap-7699	151	48	beginning	beginning	NOUN
ap-7699	151	49	.	.	PUNCT
ap-7699	152	1	we	we	PRON
ap-7699	152	2	emphasize	emphasize	VERB
ap-7699	152	3	that	that	SCONJ
ap-7699	152	4	this	this	PRON
ap-7699	152	5	was	be	AUX
ap-7699	152	6	inevitably	inevitably	ADV
ap-7699	152	7	the	the	DET
ap-7699	152	8	higher	high	ADJ
ap-7699	152	9	-	-	PUNCT
ap-7699	152	10	derivative	derivative	ADJ
ap-7699	152	11	structure	structure	NOUN
ap-7699	152	12	for	for	ADP
ap-7699	152	13	the	the	DET
ap-7699	152	14	dynamics	dynamic	NOUN
ap-7699	152	15	of	of	ADP
ap-7699	152	16	the	the	DET
ap-7699	152	17	quantum	quantum	ADJ
ap-7699	152	18	relativistic	relativistic	ADJ
ap-7699	152	19	gravitational	gravitational	ADJ
ap-7699	152	20	field	field	NOUN
ap-7699	152	21	studied	study	VERB
ap-7699	152	22	here	here	ADV
ap-7699	152	23	.	.	PUNCT
ap-7699	153	1	1.1	1.1	NUM
ap-7699	153	2	.	.	PUNCT
ap-7699	153	3	motivations	motivation	NOUN
ap-7699	153	4	for	for	ADP
ap-7699	153	5	and	and	CCONJ
ap-7699	153	6	introduction	introduction	NOUN
ap-7699	153	7	to	to	ADP
ap-7699	153	8	six	six	NUM
ap-7699	153	9	-	-	PUNCT
ap-7699	153	10	derivative	derivative	ADJ
ap-7699	153	11	gravitational	gravitational	ADJ
ap-7699	153	12	theories	theory	NOUN
ap-7699	153	13	now	now	ADV
ap-7699	153	14	,	,	PUNCT
ap-7699	153	15	we	we	PRON
ap-7699	153	16	would	would	AUX
ap-7699	153	17	like	like	VERB
ap-7699	153	18	to	to	PART
ap-7699	153	19	summarize	summarize	VERB
ap-7699	153	20	here	here	ADV
ap-7699	153	21	on	on	ADP
ap-7699	153	22	what	what	PRON
ap-7699	153	23	is	be	AUX
ap-7699	153	24	the	the	DET
ap-7699	153	25	general	general	ADJ
ap-7699	153	26	procedure	procedure	NOUN
ap-7699	153	27	to	to	PART
ap-7699	153	28	define	define	VERB
ap-7699	153	29	the	the	DET
ap-7699	153	30	gravitational	gravitational	ADJ
ap-7699	153	31	theory	theory	NOUN
ap-7699	153	32	,	,	PUNCT
ap-7699	153	33	both	both	PRON
ap-7699	153	34	on	on	ADP
ap-7699	153	35	the	the	DET
ap-7699	153	36	classical	classical	ADJ
ap-7699	153	37	as	as	ADV
ap-7699	153	38	well	well	ADV
ap-7699	153	39	as	as	ADP
ap-7699	153	40	on	on	ADP
ap-7699	153	41	the	the	DET
ap-7699	153	42	quantum	quantum	ADJ
ap-7699	153	43	level	level	NOUN
ap-7699	153	44	.	.	PUNCT
ap-7699	154	1	first	first	ADV
ap-7699	154	2	,	,	PUNCT
ap-7699	154	3	we	we	PRON
ap-7699	154	4	decide	decide	VERB
ap-7699	154	5	what	what	PRON
ap-7699	154	6	our	our	PRON
ap-7699	154	7	theory	theory	NOUN
ap-7699	154	8	is	be	AUX
ap-7699	154	9	of	of	ADP
ap-7699	154	10	–	–	PUNCT
ap-7699	154	11	which	which	DET
ap-7699	154	12	fields	field	NOUN
ap-7699	154	13	are	be	AUX
ap-7699	154	14	dynamical	dynamical	ADJ
ap-7699	154	15	there	there	ADV
ap-7699	154	16	.	.	PUNCT
ap-7699	155	1	in	in	ADP
ap-7699	155	2	our	our	PRON
ap-7699	155	3	case	case	NOUN
ap-7699	155	4	these	these	PRON
ap-7699	155	5	are	be	AUX
ap-7699	155	6	gravitational	gravitational	ADJ
ap-7699	155	7	fields	field	NOUN
ap-7699	155	8	entirely	entirely	ADV
ap-7699	155	9	characterized	characterize	VERB
ap-7699	155	10	by	by	ADP
ap-7699	155	11	the	the	DET
ap-7699	155	12	metric	metric	ADJ
ap-7699	155	13	tensor	tensor	NOUN
ap-7699	155	14	of	of	ADP
ap-7699	155	15	gravitational	gravitational	ADJ
ap-7699	155	16	spacetime	spacetime	NOUN
ap-7699	155	17	.	.	PUNCT
ap-7699	156	1	secondly	secondly	ADV
ap-7699	156	2	,	,	PUNCT
ap-7699	156	3	we	we	PRON
ap-7699	156	4	specify	specify	VERB
ap-7699	156	5	the	the	DET
ap-7699	156	6	set	set	NOUN
ap-7699	156	7	of	of	ADP
ap-7699	156	8	symmetries	symmetry	NOUN
ap-7699	156	9	(	(	PUNCT
ap-7699	156	10	invariance	invariance	NOUN
ap-7699	156	11	group	group	NOUN
ap-7699	156	12	)	)	PUNCT
ap-7699	156	13	of	of	ADP
ap-7699	156	14	our	our	PRON
ap-7699	156	15	theory	theory	NOUN
ap-7699	156	16	.	.	PUNCT
ap-7699	157	1	again	again	ADV
ap-7699	157	2	,	,	PUNCT
ap-7699	157	3	in	in	ADP
ap-7699	157	4	our	our	PRON
ap-7699	157	5	setup	setup	NOUN
ap-7699	157	6	these	these	PRON
ap-7699	157	7	are	be	AUX
ap-7699	157	8	,	,	PUNCT
ap-7699	157	9	in	in	ADP
ap-7699	157	10	general	general	ADJ
ap-7699	157	11	,	,	PUNCT
ap-7699	157	12	invariances	invariance	NOUN
ap-7699	157	13	under	under	ADP
ap-7699	157	14	general	general	ADJ
ap-7699	157	15	coordinate	coordinate	NOUN
ap-7699	157	16	transformations	transformation	NOUN
ap-7699	157	17	also	also	ADV
ap-7699	157	18	known	know	VERB
ap-7699	157	19	as	as	ADP
ap-7699	157	20	diffeomorphism	diffeomorphism	NOUN
ap-7699	157	21	symmetries	symmetry	NOUN
ap-7699	157	22	of	of	ADP
ap-7699	157	23	gravitational	gravitational	ADJ
ap-7699	157	24	theories	theory	NOUN
ap-7699	157	25	.	.	PUNCT
ap-7699	158	1	in	in	ADP
ap-7699	158	2	this	this	DET
ap-7699	158	3	sense	sense	NOUN
ap-7699	158	4	,	,	PUNCT
ap-7699	158	5	we	we	PRON
ap-7699	158	6	also	also	ADV
ap-7699	158	7	restrict	restrict	VERB
ap-7699	158	8	the	the	DET
ap-7699	158	9	set	set	NOUN
ap-7699	158	10	of	of	ADP
ap-7699	158	11	possible	possible	ADJ
ap-7699	158	12	theories	theory	NOUN
ap-7699	158	13	from	from	ADP
ap-7699	158	14	general	general	ADJ
ap-7699	158	15	models	model	NOUN
ap-7699	158	16	considered	consider	VERB
ap-7699	158	17	in	in	ADP
ap-7699	158	18	the	the	DET
ap-7699	158	19	gauge	gauge	ADJ
ap-7699	158	20	treatment	treatment	NOUN
ap-7699	158	21	of	of	ADP
ap-7699	158	22	gravity	gravity	NOUN
ap-7699	158	23	,	,	PUNCT
ap-7699	158	24	when	when	SCONJ
ap-7699	158	25	the	the	DET
ap-7699	158	26	translation	translation	NOUN
ap-7699	158	27	group	group	NOUN
ap-7699	158	28	or	or	CCONJ
ap-7699	158	29	full	full	ADJ
ap-7699	158	30	poincaré	poincaré	NOUN
ap-7699	158	31	groups	group	NOUN
ap-7699	158	32	are	be	AUX
ap-7699	158	33	gauged	gauge	VERB
ap-7699	158	34	.	.	PUNCT
ap-7699	159	1	then	then	ADV
ap-7699	159	2	finally	finally	ADV
ap-7699	159	3	following	follow	VERB
ap-7699	159	4	landau	landau	NOUN
ap-7699	159	5	we	we	PRON
ap-7699	159	6	define	define	VERB
ap-7699	159	7	the	the	DET
ap-7699	159	8	theory	theory	NOUN
ap-7699	159	9	by	by	ADP
ap-7699	159	10	specifying	specify	VERB
ap-7699	159	11	its	its	PRON
ap-7699	159	12	dynamical	dynamical	ADJ
ap-7699	159	13	action	action	NOUN
ap-7699	159	14	functional	functional	ADJ
ap-7699	159	15	.	.	PUNCT
ap-7699	160	1	in	in	ADP
ap-7699	160	2	our	our	PRON
ap-7699	160	3	case	case	NOUN
ap-7699	160	4	for	for	ADP
ap-7699	160	5	a	a	DET
ap-7699	160	6	classical	classical	ADJ
ap-7699	160	7	level	level	NOUN
ap-7699	160	8	,	,	PUNCT
ap-7699	160	9	this	this	PRON
ap-7699	160	10	is	be	AUX
ap-7699	160	11	a	a	DET
ap-7699	160	12	gr	gr	ADJ
ap-7699	160	13	-	-	PUNCT
ap-7699	160	14	invariant	invariant	ADJ
ap-7699	160	15	scalar	scalar	NOUN
ap-7699	160	16	obtained	obtain	VERB
ap-7699	160	17	by	by	ADP
ap-7699	160	18	integrating	integrate	VERB
ap-7699	160	19	some	some	DET
ap-7699	160	20	gr	gr	ADV
ap-7699	160	21	-	-	PUNCT
ap-7699	160	22	densitized	densitize	VERB
ap-7699	160	23	scalar	scalar	ADJ
ap-7699	160	24	lagrangian	lagrangian	NOUN
ap-7699	160	25	over	over	ADP
ap-7699	160	26	the	the	DET
ap-7699	160	27	full	full	ADJ
ap-7699	160	28	4	4	NUM
ap-7699	160	29	-	-	PUNCT
ap-7699	160	30	dimensional	dimensional	ADJ
ap-7699	160	31	continuum	continuum	ADJ
ap-7699	160	32	(	(	PUNCT
ap-7699	160	33	spacetime	spacetime	NOUN
ap-7699	160	34	)	)	PUNCT
ap-7699	160	35	.	.	PUNCT
ap-7699	161	1	as	as	SCONJ
ap-7699	161	2	emphasized	emphasize	VERB
ap-7699	161	3	above	above	ADV
ap-7699	161	4	,	,	PUNCT
ap-7699	161	5	for	for	ADP
ap-7699	161	6	theoretical	theoretical	ADJ
ap-7699	161	7	consistency	consistency	NOUN
ap-7699	161	8	,	,	PUNCT
ap-7699	161	9	we	we	PRON
ap-7699	161	10	must	must	AUX
ap-7699	161	11	use	use	VERB
ap-7699	161	12	lagrangians	lagrangian	NOUN
ap-7699	161	13	(	(	PUNCT
ap-7699	161	14	actions	action	NOUN
ap-7699	161	15	)	)	PUNCT
ap-7699	161	16	which	which	PRON
ap-7699	161	17	contain	contain	VERB
ap-7699	161	18	higher	high	ADJ
ap-7699	161	19	(	(	PUNCT
ap-7699	161	20	partial	partial	ADJ
ap-7699	161	21	)	)	PUNCT
ap-7699	161	22	derivatives	derivative	NOUN
ap-7699	161	23	of	of	ADP
ap-7699	161	24	the	the	DET
ap-7699	161	25	metric	metric	ADJ
ap-7699	161	26	tensor	tensor	NOUN
ap-7699	161	27	,	,	PUNCT
ap-7699	161	28	when	when	SCONJ
ap-7699	161	29	the	the	DET
ap-7699	161	30	lagrangian	lagrangian	NOUN
ap-7699	161	31	is	be	AUX
ap-7699	161	32	completely	completely	ADV
ap-7699	161	33	expanded	expand	VERB
ap-7699	161	34	to	to	ADP
ap-7699	161	35	a	a	DET
ap-7699	161	36	form	form	NOUN
ap-7699	161	37	where	where	SCONJ
ap-7699	161	38	ordinary	ordinary	ADJ
ap-7699	161	39	derivatives	derivative	NOUN
ap-7699	161	40	act	act	VERB
ap-7699	161	41	on	on	ADP
ap-7699	161	42	the	the	DET
ap-7699	161	43	metric	metric	ADJ
ap-7699	161	44	tensors	tensor	NOUN
ap-7699	161	45	(	(	PUNCT
ap-7699	161	46	contracted	contract	VERB
ap-7699	161	47	in	in	ADP
ap-7699	161	48	various	various	ADJ
ap-7699	161	49	combinations	combination	NOUN
ap-7699	161	50	)	)	PUNCT
ap-7699	161	51	.	.	PUNCT
ap-7699	162	1	specifying	specify	VERB
ap-7699	162	2	now	now	ADV
ap-7699	162	3	,	,	PUNCT
ap-7699	162	4	to	to	ADP
ap-7699	162	5	the	the	DET
ap-7699	162	6	case	case	NOUN
ap-7699	162	7	motivated	motivate	VERB
ap-7699	162	8	above	above	ADV
ap-7699	162	9	,	,	PUNCT
ap-7699	162	10	we	we	PRON
ap-7699	162	11	shall	shall	AUX
ap-7699	162	12	use	use	VERB
ap-7699	162	13	and	and	CCONJ
ap-7699	162	14	study	study	VERB
ap-7699	162	15	below	below	ADP
ap-7699	162	16	the	the	DET
ap-7699	162	17	theories	theory	NOUN
ap-7699	162	18	defined	define	VERB
ap-7699	162	19	by	by	ADP
ap-7699	162	20	classical	classical	ADJ
ap-7699	162	21	action	action	NOUN
ap-7699	162	22	functionals	functional	NOUN
ap-7699	162	23	which	which	PRON
ap-7699	162	24	contain	contain	VERB
ap-7699	162	25	precisely	precisely	ADV
ap-7699	162	26	six	six	NUM
ap-7699	162	27	derivatives	derivative	NOUN
ap-7699	162	28	of	of	ADP
ap-7699	162	29	the	the	DET
ap-7699	162	30	metric	metric	ADJ
ap-7699	162	31	tensor	tensor	NOUN
ap-7699	162	32	field	field	NOUN
ap-7699	162	33	.	.	PUNCT
ap-7699	163	1	in	in	ADP
ap-7699	163	2	order	order	NOUN
ap-7699	163	3	to	to	PART
ap-7699	163	4	define	define	VERB
ap-7699	163	5	the	the	DET
ap-7699	163	6	theory	theory	NOUN
ap-7699	163	7	on	on	ADP
ap-7699	163	8	the	the	DET
ap-7699	163	9	quantum	quantum	ADJ
ap-7699	163	10	level	level	NOUN
ap-7699	163	11	,	,	PUNCT
ap-7699	163	12	we	we	PRON
ap-7699	163	13	use	use	VERB
ap-7699	163	14	the	the	DET
ap-7699	163	15	standard	standard	ADJ
ap-7699	163	16	functional	functional	ADJ
ap-7699	163	17	integral	integral	ADJ
ap-7699	163	18	representation	representation	NOUN
ap-7699	163	19	of	of	ADP
ap-7699	163	20	the	the	DET
ap-7699	163	21	partition	partition	NOUN
ap-7699	163	22	function	function	NOUN
ap-7699	163	23	(	(	PUNCT
ap-7699	163	24	also	also	ADV
ap-7699	163	25	known	know	VERB
ap-7699	163	26	as	as	ADP
ap-7699	163	27	the	the	DET
ap-7699	163	28	vacuum	vacuum	NOUN
ap-7699	163	29	transition	transition	NOUN
ap-7699	163	30	amplitude	amplitude	NOUN
ap-7699	163	31	)	)	PUNCT
ap-7699	163	32	of	of	ADP
ap-7699	163	33	the	the	DET
ap-7699	163	34	quantum	quantum	ADJ
ap-7699	163	35	theory	theory	NOUN
ap-7699	163	36	.	.	PUNCT
ap-7699	164	1	that	that	PRON
ap-7699	164	2	is	be	AUX
ap-7699	164	3	we	we	PRON
ap-7699	164	4	construct	construct	VERB
ap-7699	164	5	,	,	PUNCT
ap-7699	164	6	having	have	VERB
ap-7699	164	7	the	the	DET
ap-7699	164	8	classical	classical	ADJ
ap-7699	164	9	action	action	NOUN
ap-7699	164	10	functional	functional	ADJ
ap-7699	164	11	shd	shd	NOUN
ap-7699	164	12	,	,	PUNCT
ap-7699	164	13	being	be	AUX
ap-7699	164	14	the	the	DET
ap-7699	164	15	functional	functional	ADJ
ap-7699	164	16	of	of	ADP
ap-7699	164	17	the	the	DET
ap-7699	164	18	classical	classical	ADJ
ap-7699	164	19	metric	metric	ADJ
ap-7699	164	20	field	field	NOUN
ap-7699	164	21	shd[gµν	shd[gµν	PROPN
ap-7699	164	22	]	]	PUNCT
ap-7699	164	23	,	,	PUNCT
ap-7699	164	24	the	the	DET
ap-7699	164	25	following	follow	VERB
ap-7699	164	26	object	object	NOUN
ap-7699	164	27	z	z	NOUN
ap-7699	164	28	=	=	SYM
ap-7699	164	29	∫	∫	PROPN
ap-7699	164	30	dgµν	dgµν	NOUN
ap-7699	164	31	exp(ishd	exp(ishd	NUM
ap-7699	164	32	)	)	PUNCT
ap-7699	164	33	,	,	PUNCT
ap-7699	164	34	(	(	PUNCT
ap-7699	164	35	2	2	X
ap-7699	164	36	)	)	PUNCT
ap-7699	164	37	where	where	SCONJ
ap-7699	164	38	in	in	ADP
ap-7699	164	39	the	the	DET
ap-7699	164	40	functional	functional	ADJ
ap-7699	164	41	integral	integral	NOUN
ap-7699	164	42	above	above	ADP
ap-7699	164	43	we	we	PRON
ap-7699	164	44	must	must	AUX
ap-7699	164	45	be	be	AUX
ap-7699	164	46	more	more	ADV
ap-7699	164	47	careful	careful	ADJ
ap-7699	164	48	than	than	ADP
ap-7699	164	49	just	just	ADV
ap-7699	164	50	on	on	ADP
ap-7699	164	51	the	the	DET
ap-7699	164	52	formal	formal	ADJ
ap-7699	164	53	level	level	NOUN
ap-7699	164	54	in	in	ADP
ap-7699	164	55	defining	define	VERB
ap-7699	164	56	properly	properly	ADV
ap-7699	164	57	the	the	DET
ap-7699	164	58	integration	integration	NOUN
ap-7699	164	59	measure	measure	NOUN
ap-7699	164	60	dgµν	dgµν	NOUN
ap-7699	164	61	.	.	PUNCT
ap-7699	165	1	for	for	ADP
ap-7699	165	2	example	example	NOUN
ap-7699	165	3	,	,	PUNCT
ap-7699	165	4	we	we	PRON
ap-7699	165	5	should	should	AUX
ap-7699	165	6	sum	sum	VERB
ap-7699	165	7	over	over	ADP
ap-7699	165	8	all	all	DET
ap-7699	165	9	backgrounds	background	NOUN
ap-7699	165	10	and	and	CCONJ
ap-7699	165	11	also	also	ADV
ap-7699	165	12	over	over	ADP
ap-7699	165	13	all	all	DET
ap-7699	165	14	topologies	topology	NOUN
ap-7699	165	15	of	of	ADP
ap-7699	165	16	the	the	DET
ap-7699	165	17	classical	classical	ADJ
ap-7699	165	18	background	background	NOUN
ap-7699	165	19	gravitational	gravitational	ADJ
ap-7699	165	20	field	field	NOUN
ap-7699	165	21	.	.	PUNCT
ap-7699	166	1	one	one	PRON
ap-7699	166	2	can	can	AUX
ap-7699	166	3	hope	hope	VERB
ap-7699	166	4	that	that	SCONJ
ap-7699	166	5	it	it	PRON
ap-7699	166	6	is	be	AUX
ap-7699	166	7	also	also	ADV
ap-7699	166	8	possible	possible	ADJ
ap-7699	166	9	to	to	PART
ap-7699	166	10	classify	classify	VERB
ap-7699	166	11	in	in	ADP
ap-7699	166	12	four	four	NUM
ap-7699	166	13	dimensions	dimension	NOUN
ap-7699	166	14	all	all	DET
ap-7699	166	15	gravitational	gravitational	ADJ
ap-7699	166	16	configurations	configuration	NOUN
ap-7699	166	17	(	(	PUNCT
ap-7699	166	18	all	all	DET
ap-7699	166	19	gravitational	gravitational	ADJ
ap-7699	166	20	pseudo	pseudo	NOUN
ap-7699	166	21	-	-	ADJ
ap-7699	166	22	riemannian	riemannian	ADJ
ap-7699	166	23	manifolds	manifold	NOUN
ap-7699	166	24	)	)	PUNCT
ap-7699	166	25	over	over	ADP
ap-7699	166	26	which	which	PRON
ap-7699	166	27	we	we	PRON
ap-7699	166	28	should	should	AUX
ap-7699	166	29	integrate	integrate	VERB
ap-7699	166	30	above	above	ADV
ap-7699	166	31	.	.	PUNCT
ap-7699	167	1	the	the	DET
ap-7699	167	2	functional	functional	ADJ
ap-7699	167	3	integral	integral	ADJ
ap-7699	167	4	,	,	PUNCT
ap-7699	167	5	if	if	SCONJ
ap-7699	167	6	properly	properly	ADV
ap-7699	167	7	defined	define	VERB
ap-7699	167	8	,	,	PUNCT
ap-7699	167	9	is	be	AUX
ap-7699	167	10	the	the	DET
ap-7699	167	11	basis	basis	NOUN
ap-7699	167	12	for	for	ADP
ap-7699	167	13	quantum	quantum	ADJ
ap-7699	167	14	theory	theory	NOUN
ap-7699	167	15	.	.	PUNCT
ap-7699	168	1	one	one	PRON
ap-7699	168	2	can	can	AUX
ap-7699	168	3	even	even	ADV
ap-7699	168	4	promote	promote	VERB
ap-7699	168	5	the	the	DET
ap-7699	168	6	point	point	NOUN
ap-7699	168	7	of	of	ADP
ap-7699	168	8	view	view	NOUN
ap-7699	168	9	that	that	SCONJ
ap-7699	168	10	by	by	ADP
ap-7699	168	11	giving	give	VERB
ap-7699	168	12	the	the	DET
ap-7699	168	13	functional	functional	ADJ
ap-7699	168	14	z	z	NOUN
ap-7699	168	15	one	one	NOUN
ap-7699	168	16	defines	define	VERB
ap-7699	168	17	the	the	DET
ap-7699	168	18	quantum	quantum	NOUN
ap-7699	168	19	theory	theory	NOUN
ap-7699	168	20	even	even	ADV
ap-7699	168	21	without	without	ADP
ap-7699	168	22	reference	reference	NOUN
ap-7699	168	23	to	to	ADP
ap-7699	168	24	any	any	DET
ap-7699	168	25	classical	classical	ADJ
ap-7699	168	26	action	action	NOUN
ap-7699	168	27	s.	s.	PROPN
ap-7699	168	28	however	however	ADV
ap-7699	168	29	,	,	PUNCT
ap-7699	168	30	it	it	PRON
ap-7699	168	31	is	be	AUX
ap-7699	168	32	difficult	difficult	ADJ
ap-7699	168	33	a	a	DET
ap-7699	168	34	priori	priori	ADV
ap-7699	168	35	to	to	PART
ap-7699	168	36	propose	propose	VERB
ap-7699	168	37	generating	generate	VERB
ap-7699	168	38	functionals	functional	NOUN
ap-7699	168	39	z	z	X
ap-7699	168	40	,	,	PUNCT
ap-7699	168	41	which	which	PRON
ap-7699	168	42	are	be	AUX
ap-7699	168	43	consistent	consistent	ADJ
ap-7699	168	44	with	with	ADP
ap-7699	168	45	all	all	DET
ap-7699	168	46	symmetries	symmetry	NOUN
ap-7699	168	47	of	of	ADP
ap-7699	168	48	the	the	DET
ap-7699	168	49	theory	theory	NOUN
ap-7699	168	50	(	(	PUNCT
ap-7699	168	51	especially	especially	ADV
ap-7699	168	52	gauge	gauge	ADJ
ap-7699	168	53	invariances	invariance	NOUN
ap-7699	168	54	)	)	PUNCT
ap-7699	168	55	and	and	CCONJ
ap-7699	168	56	such	such	ADJ
ap-7699	168	57	that	that	SCONJ
ap-7699	168	58	they	they	PRON
ap-7699	168	59	possess	possess	VERB
ap-7699	168	60	sensible	sensible	ADJ
ap-7699	168	61	macroscopic	macroscopic	ADJ
ap-7699	168	62	(	(	PUNCT
ap-7699	168	63	classical	classical	ADJ
ap-7699	168	64	)	)	PUNCT
ap-7699	168	65	limits	limit	NOUN
ap-7699	168	66	.	.	PUNCT
ap-7699	169	1	for	for	ADP
ap-7699	169	2	practical	practical	ADJ
ap-7699	169	3	purposes	purpose	NOUN
ap-7699	169	4	of	of	ADP
ap-7699	169	5	evaluating	evaluate	VERB
ap-7699	169	6	various	various	ADJ
ap-7699	169	7	correlation	correlation	NOUN
ap-7699	169	8	functions	function	NOUN
ap-7699	169	9	between	between	ADP
ap-7699	169	10	quantum	quantum	ADJ
ap-7699	169	11	fields	field	NOUN
ap-7699	169	12	and	and	CCONJ
ap-7699	169	13	their	their	PRON
ap-7699	169	14	fluctuations	fluctuation	NOUN
ap-7699	169	15	,	,	PUNCT
ap-7699	169	16	one	one	PRON
ap-7699	169	17	modifies	modify	VERB
ap-7699	169	18	this	this	DET
ap-7699	169	19	functional	functional	ADJ
ap-7699	169	20	z	z	NOUN
ap-7699	169	21	by	by	ADP
ap-7699	169	22	adding	add	VERB
ap-7699	169	23	a	a	DET
ap-7699	169	24	coupling	coupling	NOUN
ap-7699	169	25	of	of	ADP
ap-7699	169	26	the	the	DET
ap-7699	169	27	quantum	quantum	ADJ
ap-7699	169	28	field	field	NOUN
ap-7699	169	29	(	(	PUNCT
ap-7699	169	30	here	here	ADV
ap-7699	169	31	this	this	DET
ap-7699	169	32	role	role	NOUN
ap-7699	169	33	of	of	ADP
ap-7699	169	34	the	the	DET
ap-7699	169	35	integration	integration	NOUN
ap-7699	169	36	variable	variable	NOUN
ap-7699	169	37	is	be	AUX
ap-7699	169	38	played	play	VERB
ap-7699	169	39	by	by	ADP
ap-7699	169	40	gµν	gµν	NOUN
ap-7699	169	41	)	)	PUNCT
ap-7699	169	42	to	to	ADP
ap-7699	169	43	the	the	DET
ap-7699	169	44	classical	classical	ADJ
ap-7699	169	45	external	external	ADJ
ap-7699	169	46	current	current	ADJ
ap-7699	169	47	j	j	PROPN
ap-7699	169	48	.	.	PUNCT
ap-7699	170	1	and	and	CCONJ
ap-7699	170	2	also	also	ADV
ap-7699	170	3	for	for	ADP
ap-7699	170	4	other	other	ADJ
ap-7699	170	5	theoretical	theoretical	ADJ
ap-7699	170	6	rea122	rea122	PROPN
ap-7699	170	7	vol	vol	NOUN
ap-7699	170	8	.	.	PUNCT
ap-7699	171	1	62	62	NUM
ap-7699	171	2	no	no	INTJ
ap-7699	171	3	.	.	PUNCT
ap-7699	172	1	1/2022	1/2022	NUM
ap-7699	172	2	beta	beta	NOUN
ap-7699	172	3	functions	function	NOUN
ap-7699	172	4	in	in	ADP
ap-7699	172	5	six	six	NUM
ap-7699	172	6	-	-	PUNCT
ap-7699	172	7	derivative	derivative	ADJ
ap-7699	172	8	quantum	quantum	NOUN
ap-7699	172	9	gravity	gravity	NOUN
ap-7699	172	10	sons	son	NOUN
ap-7699	172	11	,	,	PUNCT
ap-7699	172	12	one	one	PRON
ap-7699	172	13	can	can	AUX
ap-7699	172	14	compute	compute	VERB
ap-7699	172	15	this	this	DET
ap-7699	172	16	functional	functional	ADJ
ap-7699	172	17	in	in	ADP
ap-7699	172	18	background	background	NOUN
ap-7699	172	19	field	field	NOUN
ap-7699	172	20	method	method	NOUN
ap-7699	172	21	,	,	PUNCT
ap-7699	172	22	where	where	SCONJ
ap-7699	172	23	the	the	DET
ap-7699	172	24	functional	functional	ADJ
ap-7699	172	25	integration	integration	NOUN
ap-7699	172	26	is	be	AUX
ap-7699	172	27	over	over	ADP
ap-7699	172	28	fluctuation	fluctuation	NOUN
ap-7699	172	29	fields	field	NOUN
ap-7699	172	30	,	,	PUNCT
ap-7699	172	31	while	while	SCONJ
ap-7699	172	32	the	the	DET
ap-7699	172	33	classical	classical	ADJ
ap-7699	172	34	action	action	NOUN
ap-7699	172	35	functional	functional	ADJ
ap-7699	172	36	is	be	AUX
ap-7699	172	37	decomposed	decompose	VERB
ap-7699	172	38	into	into	ADP
ap-7699	172	39	background	background	NOUN
ap-7699	172	40	and	and	CCONJ
ap-7699	172	41	parts	part	NOUN
ap-7699	172	42	quadratic	quadratic	ADJ
ap-7699	172	43	,	,	PUNCT
ap-7699	172	44	cubic	cubic	ADJ
ap-7699	172	45	and	and	CCONJ
ap-7699	172	46	of	of	ADP
ap-7699	172	47	higher	high	ADJ
ap-7699	172	48	order	order	NOUN
ap-7699	172	49	in	in	ADP
ap-7699	172	50	quantum	quantum	ADJ
ap-7699	172	51	fluctuation	fluctuation	NOUN
ap-7699	172	52	fields	field	NOUN
ap-7699	172	53	.	.	PUNCT
ap-7699	173	1	for	for	ADP
ap-7699	173	2	this	this	DET
ap-7699	173	3	one	one	NUM
ap-7699	173	4	defines	define	NOUN
ap-7699	173	5	that	that	SCONJ
ap-7699	173	6	the	the	DET
ap-7699	173	7	full	full	ADJ
ap-7699	173	8	metric	metric	NOUN
ap-7699	173	9	is	be	AUX
ap-7699	173	10	decomposed	decompose	VERB
ap-7699	173	11	as	as	SCONJ
ap-7699	173	12	follows	follow	VERB
ap-7699	173	13	,	,	PUNCT
ap-7699	173	14	gµν	gµν	NOUN
ap-7699	173	15	=	=	SYM
ap-7699	173	16	ḡµν	ḡµν	PROPN
ap-7699	173	17	+	+	CCONJ
ap-7699	173	18	hµν	hµν	NOUN
ap-7699	173	19	,	,	PUNCT
ap-7699	173	20	where	where	SCONJ
ap-7699	173	21	the	the	DET
ap-7699	173	22	background	background	NOUN
ap-7699	173	23	classical	classical	ADJ
ap-7699	173	24	metric	metric	NOUN
ap-7699	173	25	is	be	AUX
ap-7699	173	26	denoted	denote	VERB
ap-7699	173	27	by	by	ADP
ap-7699	173	28	ḡµν	ḡµν	NOUN
ap-7699	173	29	and	and	CCONJ
ap-7699	173	30	metric	metric	ADJ
ap-7699	173	31	perturbations	perturbation	NOUN
ap-7699	173	32	by	by	ADP
ap-7699	173	33	hµν	hµν	NOUN
ap-7699	173	34	.	.	PUNCT
ap-7699	174	1	by	by	ADP
ap-7699	174	2	computing	compute	VERB
ap-7699	174	3	variational	variational	ADJ
ap-7699	174	4	derivatives	derivative	NOUN
ap-7699	174	5	of	of	ADP
ap-7699	174	6	the	the	DET
ap-7699	174	7	partition	partition	NOUN
ap-7699	174	8	function	function	NOUN
ap-7699	174	9	z[j	z[j	VERB
ap-7699	174	10	]	]	PUNCT
ap-7699	174	11	with	with	ADP
ap-7699	174	12	respect	respect	NOUN
ap-7699	174	13	to	to	ADP
ap-7699	174	14	the	the	DET
ap-7699	174	15	classical	classical	ADJ
ap-7699	174	16	current	current	ADJ
ap-7699	174	17	j	j	PROPN
ap-7699	174	18	one	one	NOUN
ap-7699	174	19	gets	get	VERB
ap-7699	174	20	higher	high	ADJ
ap-7699	174	21	n	n	CCONJ
ap-7699	174	22	-	-	PUNCT
ap-7699	174	23	point	point	NOUN
ap-7699	174	24	functions	function	NOUN
ap-7699	174	25	with	with	ADP
ap-7699	174	26	the	the	DET
ap-7699	174	27	accuracy	accuracy	NOUN
ap-7699	174	28	of	of	ADP
ap-7699	174	29	the	the	DET
ap-7699	174	30	full	full	ADJ
ap-7699	174	31	quantum	quantum	ADJ
ap-7699	174	32	level	level	NOUN
ap-7699	174	33	.	.	PUNCT
ap-7699	175	1	one	one	PRON
ap-7699	175	2	can	can	AUX
ap-7699	175	3	compute	compute	VERB
ap-7699	175	4	them	they	PRON
ap-7699	175	5	both	both	PRON
ap-7699	175	6	perturbatively	perturbatively	ADV
ap-7699	175	7	(	(	PUNCT
ap-7699	175	8	in	in	ADP
ap-7699	175	9	loop	loop	NOUN
ap-7699	175	10	expansion	expansion	NOUN
ap-7699	175	11	)	)	PUNCT
ap-7699	175	12	or	or	CCONJ
ap-7699	175	13	non	non	ADJ
ap-7699	175	14	-	-	ADJ
ap-7699	175	15	perturbatively	perturbatively	ADJ
ap-7699	175	16	,	,	PUNCT
ap-7699	175	17	and	and	CCONJ
ap-7699	175	18	also	also	ADV
ap-7699	175	19	on	on	ADP
ap-7699	175	20	trivial	trivial	ADJ
ap-7699	175	21	backgrounds	background	NOUN
ap-7699	175	22	or	or	CCONJ
ap-7699	175	23	in	in	ADP
ap-7699	175	24	background	background	NOUN
ap-7699	175	25	field	field	NOUN
ap-7699	175	26	method	method	NOUN
ap-7699	175	27	.	.	PUNCT
ap-7699	176	1	finally	finally	ADV
ap-7699	176	2	,	,	PUNCT
ap-7699	176	3	for	for	ADP
ap-7699	176	4	spacetimes	spacetime	NOUN
ap-7699	176	5	which	which	PRON
ap-7699	176	6	asymptotically	asymptotically	ADV
ap-7699	176	7	reach	reach	VERB
ap-7699	176	8	riemann	riemann	PROPN
ap-7699	176	9	-	-	PUNCT
ap-7699	176	10	flatness	flatness	NOUN
ap-7699	176	11	,	,	PUNCT
ap-7699	176	12	from	from	ADP
ap-7699	176	13	on	on	ADP
ap-7699	176	14	-	-	PUNCT
ap-7699	176	15	shell	shell	ADJ
ap-7699	176	16	quantum	quantum	ADJ
ap-7699	176	17	green	green	ADJ
ap-7699	176	18	functions	function	NOUN
ap-7699	176	19	dressed	dress	VERB
ap-7699	176	20	by	by	ADP
ap-7699	176	21	wave	wave	NOUN
ap-7699	176	22	functions	function	NOUN
ap-7699	176	23	of	of	ADP
ap-7699	176	24	external	external	ADJ
ap-7699	176	25	classical	classical	ADJ
ap-7699	176	26	states	state	NOUN
ap-7699	176	27	,	,	PUNCT
ap-7699	176	28	one	one	NUM
ap-7699	176	29	derives	derive	VERB
ap-7699	176	30	quantum	quantum	NOUN
ap-7699	176	31	matrix	matrix	NOUN
ap-7699	176	32	elements	element	NOUN
ap-7699	176	33	of	of	ADP
ap-7699	176	34	scattering	scatter	VERB
ap-7699	176	35	processes	process	NOUN
ap-7699	176	36	.	.	PUNCT
ap-7699	177	1	only	only	ADV
ap-7699	177	2	in	in	ADP
ap-7699	177	3	such	such	ADJ
ap-7699	177	4	conditions	condition	NOUN
ap-7699	177	5	one	one	PRON
ap-7699	177	6	can	can	AUX
ap-7699	177	7	define	define	VERB
ap-7699	177	8	general	general	ADJ
ap-7699	177	9	scattering	scattering	NOUN
ap-7699	177	10	problem	problem	NOUN
ap-7699	177	11	in	in	ADP
ap-7699	177	12	quantum	quantum	ADJ
ap-7699	177	13	gravitational	gravitational	ADJ
ap-7699	177	14	theory	theory	NOUN
ap-7699	177	15	.	.	PUNCT
ap-7699	178	1	in	in	ADP
ap-7699	178	2	this	this	DET
ap-7699	178	3	article	article	NOUN
ap-7699	178	4	,	,	PUNCT
ap-7699	178	5	we	we	PRON
ap-7699	178	6	want	want	VERB
ap-7699	178	7	to	to	PART
ap-7699	178	8	analyze	analyze	VERB
ap-7699	178	9	the	the	DET
ap-7699	178	10	quantum	quantum	ADJ
ap-7699	178	11	gravitational	gravitational	ADJ
ap-7699	178	12	model	model	NOUN
ap-7699	178	13	with	with	ADP
ap-7699	178	14	six	six	NUM
ap-7699	178	15	derivatives	derivative	NOUN
ap-7699	178	16	in	in	ADP
ap-7699	178	17	the	the	DET
ap-7699	178	18	action	action	NOUN
ap-7699	178	19	.	.	PUNCT
ap-7699	179	1	that	that	SCONJ
ap-7699	179	2	the	the	DET
ap-7699	179	3	theory	theory	NOUN
ap-7699	179	4	is	be	AUX
ap-7699	179	5	with	with	SCONJ
ap-7699	179	6	six	six	NUM
ap-7699	179	7	derivatives	derivative	NOUN
ap-7699	179	8	can	can	AUX
ap-7699	179	9	be	be	AUX
ap-7699	179	10	seen	see	VERB
ap-7699	179	11	,	,	PUNCT
ap-7699	179	12	because	because	SCONJ
ap-7699	179	13	of	of	ADP
ap-7699	179	14	two	two	NUM
ap-7699	179	15	related	related	ADJ
ap-7699	179	16	reasons	reason	NOUN
ap-7699	179	17	.	.	PUNCT
ap-7699	180	1	first	first	ADV
ap-7699	180	2	,	,	PUNCT
ap-7699	180	3	one	one	PRON
ap-7699	180	4	can	can	AUX
ap-7699	180	5	derive	derive	VERB
ap-7699	180	6	the	the	DET
ap-7699	180	7	classical	classical	ADJ
ap-7699	180	8	equations	equation	NOUN
ap-7699	180	9	of	of	ADP
ap-7699	180	10	motion	motion	NOUN
ap-7699	180	11	based	base	VERB
ap-7699	180	12	on	on	ADP
ap-7699	180	13	such	such	DET
ap-7699	180	14	an	an	DET
ap-7699	180	15	action	action	NOUN
ap-7699	180	16	.	.	PUNCT
ap-7699	181	1	then	then	ADV
ap-7699	181	2	one	one	PRON
ap-7699	181	3	will	will	AUX
ap-7699	181	4	see	see	VERB
ap-7699	181	5	that	that	SCONJ
ap-7699	181	6	the	the	DET
ap-7699	181	7	number	number	NOUN
ap-7699	181	8	of	of	ADP
ap-7699	181	9	partial	partial	ADJ
ap-7699	181	10	derivatives	derivative	NOUN
ap-7699	181	11	acting	act	VERB
ap-7699	181	12	on	on	ADP
ap-7699	181	13	a	a	DET
ap-7699	181	14	metric	metric	ADJ
ap-7699	181	15	tensor	tensor	NOUN
ap-7699	181	16	in	in	ADP
ap-7699	181	17	a	a	DET
ap-7699	181	18	general	general	ADJ
ap-7699	181	19	term	term	NOUN
ap-7699	181	20	of	of	ADP
ap-7699	181	21	such	such	ADJ
ap-7699	181	22	tensor	tensor	NOUN
ap-7699	181	23	of	of	ADP
ap-7699	181	24	equations	equation	NOUN
ap-7699	181	25	of	of	ADP
ap-7699	181	26	motion	motion	NOUN
ap-7699	181	27	is	be	AUX
ap-7699	181	28	at	at	ADP
ap-7699	181	29	most	most	ADV
ap-7699	181	30	6	6	NUM
ap-7699	181	31	in	in	ADP
ap-7699	181	32	our	our	PRON
ap-7699	181	33	model	model	NOUN
ap-7699	181	34	.	.	PUNCT
ap-7699	182	1	or	or	CCONJ
ap-7699	182	2	similarly	similarly	ADV
ap-7699	182	3	,	,	PUNCT
ap-7699	182	4	one	one	PRON
ap-7699	182	5	can	can	AUX
ap-7699	182	6	compute	compute	VERB
ap-7699	182	7	the	the	DET
ap-7699	182	8	treelevel	treelevel	PROPN
ap-7699	182	9	graviton	graviton	PROPN
ap-7699	182	10	’s	’s	PART
ap-7699	182	11	propagator	propagator	NOUN
ap-7699	182	12	for	for	ADP
ap-7699	182	13	example	example	NOUN
ap-7699	182	14	around	around	ADP
ap-7699	182	15	flat	flat	ADJ
ap-7699	182	16	minkowski	minkowski	ADJ
ap-7699	182	17	background	background	NOUN
ap-7699	182	18	.	.	PUNCT
ap-7699	183	1	and	and	CCONJ
ap-7699	183	2	then	then	ADV
ap-7699	183	3	one	one	NUM
ap-7699	183	4	notices	notice	VERB
ap-7699	183	5	that	that	SCONJ
ap-7699	183	6	some	some	DET
ap-7699	183	7	components	component	NOUN
ap-7699	183	8	of	of	ADP
ap-7699	183	9	this	this	DET
ap-7699	183	10	propagator	propagator	NOUN
ap-7699	183	11	are	be	AUX
ap-7699	183	12	suppressed	suppress	VERB
ap-7699	183	13	in	in	ADP
ap-7699	183	14	the	the	DET
ap-7699	183	15	uv	uv	NOUN
ap-7699	183	16	regime	regime	NOUN
ap-7699	183	17	by	by	ADP
ap-7699	183	18	the	the	DET
ap-7699	183	19	power	power	NOUN
ap-7699	183	20	k6	k6	NOUN
ap-7699	183	21	in	in	ADP
ap-7699	183	22	fourier	fourier	ADJ
ap-7699	183	23	space	space	NOUN
ap-7699	183	24	,	,	PUNCT
ap-7699	183	25	when	when	SCONJ
ap-7699	183	26	k	k	PROPN
ap-7699	183	27	is	be	AUX
ap-7699	183	28	the	the	DET
ap-7699	183	29	propagating	propagate	VERB
ap-7699	183	30	momentum	momentum	NOUN
ap-7699	183	31	of	of	ADP
ap-7699	183	32	the	the	DET
ap-7699	183	33	quantum	quantum	ADJ
ap-7699	183	34	mode	mode	NOUN
ap-7699	183	35	.	.	PUNCT
ap-7699	184	1	actually	actually	ADV
ap-7699	184	2	,	,	PUNCT
ap-7699	184	3	for	for	ADP
ap-7699	184	4	this	this	DET
ap-7699	184	5	last	last	ADJ
ap-7699	184	6	check	check	NOUN
ap-7699	184	7	one	one	PRON
ap-7699	184	8	does	do	AUX
ap-7699	184	9	not	not	PART
ap-7699	184	10	even	even	ADV
ap-7699	184	11	have	have	VERB
ap-7699	184	12	to	to	PART
ap-7699	184	13	invert	invert	VERB
ap-7699	184	14	and	and	CCONJ
ap-7699	184	15	compute	compute	VERB
ap-7699	184	16	the	the	DET
ap-7699	184	17	propagator	propagator	NOUN
ap-7699	184	18	,	,	PUNCT
ap-7699	184	19	one	one	PRON
ap-7699	184	20	can	can	AUX
ap-7699	184	21	perform	perform	VERB
ap-7699	184	22	a	a	DET
ap-7699	184	23	very	very	ADV
ap-7699	184	24	much	much	ADV
ap-7699	184	25	the	the	DET
ap-7699	184	26	same	same	ADJ
ap-7699	184	27	analysis	analysis	NOUN
ap-7699	184	28	on	on	ADP
ap-7699	184	29	the	the	DET
ap-7699	184	30	level	level	NOUN
ap-7699	184	31	of	of	ADP
ap-7699	184	32	the	the	DET
ap-7699	184	33	kinetic	kinetic	ADJ
ap-7699	184	34	operator	operator	NOUN
ap-7699	184	35	between	between	ADP
ap-7699	184	36	gravitational	gravitational	ADJ
ap-7699	184	37	fluctuations	fluctuation	NOUN
ap-7699	184	38	around	around	ADP
ap-7699	184	39	some	some	DET
ap-7699	184	40	background	background	NOUN
ap-7699	184	41	(	(	PUNCT
ap-7699	184	42	of	of	ADP
ap-7699	184	43	course	course	NOUN
ap-7699	184	44	the	the	DET
ap-7699	184	45	flat	flat	ADJ
ap-7699	184	46	background	background	NOUN
ap-7699	184	47	is	be	AUX
ap-7699	184	48	here	here	ADV
ap-7699	184	49	the	the	DET
ap-7699	184	50	easiest	easy	ADJ
ap-7699	184	51	one	one	NUM
ap-7699	184	52	)	)	PUNCT
ap-7699	184	53	.	.	PUNCT
ap-7699	185	1	later	later	ADV
ap-7699	185	2	in	in	ADP
ap-7699	185	3	the	the	DET
ap-7699	185	4	main	main	ADJ
ap-7699	185	5	text	text	NOUN
ap-7699	185	6	of	of	ADP
ap-7699	185	7	this	this	DET
ap-7699	185	8	article	article	NOUN
ap-7699	185	9	,	,	PUNCT
ap-7699	185	10	we	we	PRON
ap-7699	185	11	discuss	discuss	VERB
ap-7699	185	12	how	how	SCONJ
ap-7699	185	13	to	to	PART
ap-7699	185	14	overcome	overcome	VERB
ap-7699	185	15	the	the	DET
ap-7699	185	16	problems	problem	NOUN
ap-7699	185	17	in	in	ADP
ap-7699	185	18	defining	define	VERB
ap-7699	185	19	the	the	DET
ap-7699	185	20	propagator	propagator	NOUN
ap-7699	185	21	in	in	ADP
ap-7699	185	22	some	some	DET
ap-7699	185	23	special	special	ADJ
ap-7699	185	24	cases	case	NOUN
ap-7699	185	25	,	,	PUNCT
ap-7699	185	26	but	but	CCONJ
ap-7699	185	27	the	the	DET
ap-7699	185	28	situation	situation	NOUN
ap-7699	185	29	with	with	ADP
ap-7699	185	30	the	the	DET
ap-7699	185	31	terms	term	NOUN
ap-7699	185	32	of	of	ADP
ap-7699	185	33	the	the	DET
ap-7699	185	34	kinetic	kinetic	ADJ
ap-7699	185	35	operator	operator	NOUN
ap-7699	185	36	is	be	AUX
ap-7699	185	37	almost	almost	ADV
ap-7699	185	38	always	always	ADV
ap-7699	185	39	well	well	ADV
ap-7699	185	40	-	-	PUNCT
ap-7699	185	41	defined	define	VERB
ap-7699	185	42	and	and	CCONJ
ap-7699	185	43	one	one	NUM
ap-7699	185	44	can	can	AUX
ap-7699	185	45	read	read	VERB
ap-7699	185	46	the	the	DET
ap-7699	185	47	six	six	NUM
ap-7699	185	48	-	-	PUNCT
ap-7699	185	49	derivative	derivative	ADJ
ap-7699	185	50	character	character	NOUN
ap-7699	185	51	of	of	ADP
ap-7699	185	52	the	the	DET
ap-7699	185	53	theory	theory	NOUN
ap-7699	185	54	easily	easily	ADV
ap-7699	185	55	from	from	ADP
ap-7699	185	56	there	there	ADV
ap-7699	185	57	.	.	PUNCT
ap-7699	186	1	we	we	PRON
ap-7699	186	2	have	have	AUX
ap-7699	186	3	seen	see	VERB
ap-7699	186	4	in	in	ADP
ap-7699	186	5	the	the	DET
ap-7699	186	6	previous	previous	ADJ
ap-7699	186	7	section	section	NOUN
ap-7699	186	8	that	that	SCONJ
ap-7699	186	9	the	the	DET
ap-7699	186	10	fourderivative	fourderivative	ADJ
ap-7699	186	11	gravitational	gravitational	ADJ
ap-7699	186	12	theories	theory	NOUN
ap-7699	186	13	in	in	ADP
ap-7699	186	14	d	d	PROPN
ap-7699	186	15	=	=	SYM
ap-7699	186	16	4	4	NUM
ap-7699	186	17	spacetime	spacetime	NOUN
ap-7699	186	18	dimensions	dimension	NOUN
ap-7699	186	19	are	be	AUX
ap-7699	186	20	scale	scale	NOUN
ap-7699	186	21	-	-	PUNCT
ap-7699	186	22	invariant	invariant	ADJ
ap-7699	186	23	(	(	PUNCT
ap-7699	186	24	can	can	AUX
ap-7699	186	25	be	be	AUX
ap-7699	186	26	conformally	conformally	ADV
ap-7699	186	27	invariant	invariant	ADJ
ap-7699	186	28	)	)	PUNCT
ap-7699	186	29	on	on	ADP
ap-7699	186	30	the	the	DET
ap-7699	186	31	classical	classical	ADJ
ap-7699	186	32	level	level	NOUN
ap-7699	186	33	and	and	CCONJ
ap-7699	186	34	that	that	SCONJ
ap-7699	186	35	they	they	PRON
ap-7699	186	36	are	be	AUX
ap-7699	186	37	also	also	ADV
ap-7699	186	38	first	first	ADJ
ap-7699	186	39	minimal	minimal	ADJ
ap-7699	186	40	renormalizable	renormalizable	ADJ
ap-7699	186	41	models	model	NOUN
ap-7699	186	42	of	of	ADP
ap-7699	186	43	dynamical	dynamical	ADJ
ap-7699	186	44	qg	qg	PROPN
ap-7699	186	45	.	.	PUNCT
ap-7699	187	1	this	this	DET
ap-7699	187	2	last	last	ADJ
ap-7699	187	3	assertion	assertion	NOUN
ap-7699	187	4	is	be	AUX
ap-7699	187	5	proved	prove	VERB
ap-7699	187	6	by	by	ADP
ap-7699	187	7	the	the	DET
ap-7699	187	8	power	power	NOUN
ap-7699	187	9	counting	counting	NOUN
ap-7699	187	10	analysis	analysis	NOUN
ap-7699	187	11	.	.	PUNCT
ap-7699	188	1	we	we	PRON
ap-7699	188	2	will	will	AUX
ap-7699	188	3	show	show	VERB
ap-7699	188	4	below	below	ADP
ap-7699	188	5	that	that	SCONJ
ap-7699	188	6	it	it	PRON
ap-7699	188	7	is	be	AUX
ap-7699	188	8	possible	possible	ADJ
ap-7699	188	9	to	to	PART
ap-7699	188	10	further	far	ADV
ap-7699	188	11	extend	extend	VERB
ap-7699	188	12	the	the	DET
ap-7699	188	13	theory	theory	NOUN
ap-7699	188	14	in	in	ADP
ap-7699	188	15	such	such	DET
ap-7699	188	16	a	a	DET
ap-7699	188	17	way	way	NOUN
ap-7699	188	18	that	that	PRON
ap-7699	188	19	the	the	DET
ap-7699	188	20	control	control	NOUN
ap-7699	188	21	over	over	ADP
ap-7699	188	22	divergences	divergence	NOUN
ap-7699	188	23	is	be	AUX
ap-7699	188	24	strengthened	strengthen	VERB
ap-7699	188	25	even	even	ADV
ap-7699	188	26	more	more	ADV
ap-7699	188	27	and	and	CCONJ
ap-7699	188	28	this	this	PRON
ap-7699	188	29	is	be	AUX
ap-7699	188	30	again	again	ADV
ap-7699	188	31	based	base	VERB
ap-7699	188	32	on	on	ADP
ap-7699	188	33	the	the	DET
ap-7699	188	34	analysis	analysis	NOUN
ap-7699	188	35	of	of	ADP
ap-7699	188	36	the	the	DET
ap-7699	188	37	superficial	superficial	ADJ
ap-7699	188	38	degrees	degree	NOUN
ap-7699	188	39	of	of	ADP
ap-7699	188	40	divergences	divergence	NOUN
ap-7699	188	41	of	of	ADP
ap-7699	188	42	any	any	DET
ap-7699	188	43	graph	graph	NOUN
ap-7699	188	44	and	and	CCONJ
ap-7699	188	45	also	also	ADV
ap-7699	188	46	on	on	ADP
ap-7699	188	47	the	the	DET
ap-7699	188	48	energy	energy	NOUN
ap-7699	188	49	dimensionality	dimensionality	NOUN
ap-7699	188	50	arguments	argument	NOUN
ap-7699	188	51	.	.	PUNCT
ap-7699	189	1	in	in	ADP
ap-7699	189	2	this	this	DET
ap-7699	189	3	way	way	NOUN
ap-7699	189	4	we	we	PRON
ap-7699	189	5	will	will	AUX
ap-7699	189	6	also	also	ADV
ap-7699	189	7	explain	explain	VERB
ap-7699	189	8	why	why	SCONJ
ap-7699	189	9	we	we	PRON
ap-7699	189	10	can	can	AUX
ap-7699	189	11	call	call	VERB
ap-7699	189	12	generic	generic	ADJ
ap-7699	189	13	six	six	NUM
ap-7699	189	14	-	-	PUNCT
ap-7699	189	15	derivative	derivative	ADJ
ap-7699	189	16	gravitational	gravitational	ADJ
ap-7699	189	17	theories	theory	NOUN
ap-7699	189	18	in	in	ADP
ap-7699	189	19	d	d	PROPN
ap-7699	189	20	=	=	SYM
ap-7699	189	21	4	4	NUM
ap-7699	189	22	as	as	ADV
ap-7699	189	23	perturbatively	perturbatively	ADV
ap-7699	189	24	superrenormalizable	superrenormalizable	ADJ
ap-7699	189	25	theories	theory	NOUN
ap-7699	189	26	.	.	PUNCT
ap-7699	190	1	the	the	DET
ap-7699	190	2	power	power	NOUN
ap-7699	190	3	counting	counting	NOUN
ap-7699	190	4	analysis	analysis	NOUN
ap-7699	190	5	in	in	ADP
ap-7699	190	6	the	the	DET
ap-7699	190	7	case	case	NOUN
ap-7699	190	8	of	of	ADP
ap-7699	190	9	fourderivative	fourderivative	ADJ
ap-7699	190	10	stelle	stelle	NOUN
ap-7699	190	11	gravity	gravity	NOUN
ap-7699	190	12	as	as	ADP
ap-7699	190	13	in	in	ADP
ap-7699	190	14	(	(	PUNCT
ap-7699	190	15	1	1	NUM
ap-7699	190	16	)	)	PUNCT
ap-7699	190	17	(	(	PUNCT
ap-7699	190	18	quadratic	quadratic	ADJ
ap-7699	190	19	gravity	gravity	NOUN
ap-7699	190	20	of	of	ADP
ap-7699	190	21	the	the	DET
ap-7699	190	22	schematic	schematic	ADJ
ap-7699	190	23	type	type	NOUN
ap-7699	190	24	r2	r2	NOUN
ap-7699	190	25	as	as	ADP
ap-7699	190	26	in	in	ADP
ap-7699	190	27	[	[	X
ap-7699	190	28	7	7	NUM
ap-7699	190	29	]	]	PUNCT
ap-7699	190	30	)	)	PUNCT
ap-7699	190	31	leads	lead	VERB
ap-7699	190	32	to	to	ADP
ap-7699	190	33	the	the	DET
ap-7699	190	34	following	follow	VERB
ap-7699	190	35	equality	equality	NOUN
ap-7699	190	36	∆	∆	PROPN
ap-7699	191	1	+	+	CCONJ
ap-7699	191	2	d∂	d∂	NOUN
ap-7699	191	3	=	=	SYM
ap-7699	191	4	4	4	NUM
ap-7699	191	5	,	,	PUNCT
ap-7699	191	6	(	(	PUNCT
ap-7699	191	7	3	3	X
ap-7699	191	8	)	)	PUNCT
ap-7699	191	9	where	where	SCONJ
ap-7699	191	10	∆	∆	PROPN
ap-7699	191	11	is	be	AUX
ap-7699	191	12	superficial	superficial	ADJ
ap-7699	191	13	degree	degree	NOUN
ap-7699	191	14	of	of	ADP
ap-7699	191	15	divergence	divergence	NOUN
ap-7699	191	16	of	of	ADP
ap-7699	191	17	any	any	DET
ap-7699	191	18	feynman	feynman	NOUN
ap-7699	191	19	graph	graph	NOUN
ap-7699	191	20	g	g	NOUN
ap-7699	191	21	,	,	PUNCT
ap-7699	191	22	d∂	d∂	ADV
ap-7699	191	23	is	be	AUX
ap-7699	191	24	the	the	DET
ap-7699	191	25	number	number	NOUN
ap-7699	191	26	of	of	ADP
ap-7699	191	27	derivatives	derivative	NOUN
ap-7699	191	28	of	of	ADP
ap-7699	191	29	the	the	DET
ap-7699	191	30	metric	metric	NOUN
ap-7699	191	31	on	on	ADP
ap-7699	191	32	the	the	DET
ap-7699	191	33	external	external	ADJ
ap-7699	191	34	lines	line	NOUN
ap-7699	191	35	of	of	ADP
ap-7699	191	36	the	the	DET
ap-7699	191	37	diagram	diagram	NOUN
ap-7699	191	38	g	g	NOUN
ap-7699	191	39	,	,	PUNCT
ap-7699	191	40	and	and	CCONJ
ap-7699	191	41	for	for	ADP
ap-7699	191	42	future	future	ADJ
ap-7699	191	43	use	use	NOUN
ap-7699	191	44	we	we	PRON
ap-7699	191	45	define	define	VERB
ap-7699	191	46	l	l	NOUN
ap-7699	191	47	as	as	ADP
ap-7699	191	48	the	the	DET
ap-7699	191	49	number	number	NOUN
ap-7699	191	50	of	of	ADP
ap-7699	191	51	loop	loop	NOUN
ap-7699	191	52	order	order	NOUN
ap-7699	191	53	.	.	PUNCT
ap-7699	192	1	for	for	ADP
ap-7699	192	2	tree	tree	NOUN
ap-7699	192	3	-	-	PUNCT
ap-7699	192	4	level	level	NOUN
ap-7699	192	5	(	(	PUNCT
ap-7699	192	6	classical	classical	ADJ
ap-7699	192	7	level	level	NOUN
ap-7699	192	8	)	)	PUNCT
ap-7699	192	9	we	we	PRON
ap-7699	192	10	have	have	VERB
ap-7699	192	11	l	l	NOUN
ap-7699	192	12	=	=	SYM
ap-7699	192	13	0	0	NUM
ap-7699	192	14	,	,	PUNCT
ap-7699	192	15	while	while	SCONJ
ap-7699	192	16	for	for	ADP
ap-7699	192	17	concreteness	concreteness	NOUN
ap-7699	192	18	we	we	PRON
ap-7699	192	19	shall	shall	AUX
ap-7699	192	20	assume	assume	VERB
ap-7699	192	21	l	l	NOUN
ap-7699	192	22	⩾	⩾	NOUN
ap-7699	193	1	1	1	X
ap-7699	193	2	.	.	PUNCT
ap-7699	194	1	this	this	DET
ap-7699	194	2	theory	theory	NOUN
ap-7699	194	3	is	be	AUX
ap-7699	194	4	simply	simply	ADV
ap-7699	194	5	renormalizable	renormalizable	ADJ
ap-7699	194	6	since	since	SCONJ
ap-7699	194	7	the	the	DET
ap-7699	194	8	needed	needed	ADJ
ap-7699	194	9	gr	gr	NOUN
ap-7699	194	10	-	-	PUNCT
ap-7699	194	11	covariant	covariant	ADJ
ap-7699	194	12	counterterms	counterterm	NOUN
ap-7699	194	13	(	(	PUNCT
ap-7699	194	14	to	to	PART
ap-7699	194	15	absorb	absorb	VERB
ap-7699	194	16	perturbative	perturbative	ADJ
ap-7699	194	17	uv	uv	NOUN
ap-7699	194	18	divergences	divergence	NOUN
ap-7699	194	19	)	)	PUNCT
ap-7699	194	20	have	have	AUX
ap-7699	194	21	the	the	DET
ap-7699	194	22	same	same	ADJ
ap-7699	194	23	form	form	NOUN
ap-7699	194	24	as	as	ADP
ap-7699	194	25	the	the	DET
ap-7699	194	26	original	original	ADJ
ap-7699	194	27	action	action	NOUN
ap-7699	194	28	in	in	ADP
ap-7699	194	29	(	(	PUNCT
ap-7699	194	30	1)2	1)2	NUM
ap-7699	194	31	.	.	PUNCT
ap-7699	195	1	in	in	ADP
ap-7699	195	2	general	general	ADJ
ap-7699	195	3	local	local	ADJ
ap-7699	195	4	perturbatively	perturbatively	ADV
ap-7699	195	5	renormalizable	renormalizable	ADJ
ap-7699	195	6	hd	hd	NOUN
ap-7699	195	7	model	model	NOUN
ap-7699	195	8	of	of	ADP
ap-7699	195	9	qg	qg	PROPN
ap-7699	195	10	in	in	ADP
ap-7699	195	11	d	d	PROPN
ap-7699	195	12	=	=	SYM
ap-7699	195	13	4	4	NUM
ap-7699	195	14	,	,	PUNCT
ap-7699	195	15	the	the	DET
ap-7699	195	16	divergences	divergence	NOUN
ap-7699	195	17	at	at	ADP
ap-7699	195	18	any	any	DET
ap-7699	195	19	loop	loop	NOUN
ap-7699	195	20	order	order	NOUN
ap-7699	195	21	must	must	AUX
ap-7699	195	22	take	take	VERB
ap-7699	195	23	the	the	DET
ap-7699	195	24	form	form	NOUN
ap-7699	195	25	as	as	ADP
ap-7699	195	26	in	in	ADP
ap-7699	195	27	(	(	PUNCT
ap-7699	195	28	1	1	NUM
ap-7699	195	29	)	)	PUNCT
ap-7699	195	30	with	with	ADP
ap-7699	195	31	a	a	DET
ap-7699	195	32	potential	potential	ADJ
ap-7699	195	33	addition	addition	NOUN
ap-7699	195	34	of	of	ADP
ap-7699	195	35	the	the	DET
ap-7699	195	36	topological	topological	ADJ
ap-7699	195	37	gauss	gauss	ADJ
ap-7699	195	38	-	-	PUNCT
ap-7699	195	39	bonnet	bonnet	NOUN
ap-7699	195	40	term	term	NOUN
ap-7699	195	41	.	.	PUNCT
ap-7699	196	1	the	the	DET
ap-7699	196	2	change	change	NOUN
ap-7699	196	3	in	in	ADP
ap-7699	196	4	the	the	DET
ap-7699	196	5	formula	formula	NOUN
ap-7699	196	6	(	(	PUNCT
ap-7699	196	7	3	3	NUM
ap-7699	196	8	)	)	PUNCT
ap-7699	196	9	,	,	PUNCT
ap-7699	196	10	when	when	SCONJ
ap-7699	196	11	the	the	DET
ap-7699	196	12	sixderivative	sixderivative	ADJ
ap-7699	196	13	terms	term	NOUN
ap-7699	196	14	are	be	AUX
ap-7699	196	15	leading	lead	VERB
ap-7699	196	16	in	in	ADP
ap-7699	196	17	the	the	DET
ap-7699	196	18	uv	uv	NOUN
ap-7699	196	19	regime	regime	NOUN
ap-7699	196	20	,	,	PUNCT
ap-7699	196	21	is	be	AUX
ap-7699	196	22	as	as	SCONJ
ap-7699	196	23	follows	follow	VERB
ap-7699	196	24	∆	∆	PROPN
ap-7699	196	25	+	+	CCONJ
ap-7699	197	1	d∂	d∂	NOUN
ap-7699	197	2	=	=	SYM
ap-7699	197	3	6	6	NUM
ap-7699	197	4	−	−	NUM
ap-7699	197	5	2l	2l	NUM
ap-7699	197	6	.	.	PUNCT
ap-7699	198	1	(	(	PUNCT
ap-7699	198	2	4	4	X
ap-7699	198	3	)	)	PUNCT
ap-7699	198	4	the	the	DET
ap-7699	198	5	above	above	ADJ
ap-7699	198	6	formula	formula	NOUN
ap-7699	198	7	can	can	AUX
ap-7699	198	8	be	be	AUX
ap-7699	198	9	also	also	ADV
ap-7699	198	10	rewritten	rewrite	VERB
ap-7699	198	11	as	as	ADP
ap-7699	198	12	a	a	DET
ap-7699	198	13	useful	useful	ADJ
ap-7699	198	14	inequality	inequality	NOUN
ap-7699	198	15	(	(	PUNCT
ap-7699	198	16	bound	bind	VERB
ap-7699	198	17	on	on	ADP
ap-7699	198	18	the	the	DET
ap-7699	198	19	superficial	superficial	ADJ
ap-7699	198	20	degree	degree	NOUN
ap-7699	198	21	∆	∆	NOUN
ap-7699	198	22	):	):	PUNCT
ap-7699	199	1	∆	∆	PROPN
ap-7699	199	2	⩽	⩽	ADJ
ap-7699	199	3	6	6	NUM
ap-7699	199	4	−	−	PROPN
ap-7699	199	5	2l	2l	NOUN
ap-7699	199	6	=	=	SYM
ap-7699	199	7	4	4	NUM
ap-7699	199	8	−	−	NOUN
ap-7699	199	9	2(l	2(l	NUM
ap-7699	199	10	−	−	PROPN
ap-7699	199	11	1	1	NUM
ap-7699	199	12	)	)	PUNCT
ap-7699	199	13	,	,	PUNCT
ap-7699	199	14	(	(	PUNCT
ap-7699	199	15	5	5	X
ap-7699	199	16	)	)	PUNCT
ap-7699	199	17	since	since	SCONJ
ap-7699	199	18	d∂	d∂	ADV
ap-7699	199	19	⩾	⩾	PROPN
ap-7699	199	20	0	0	NUM
ap-7699	199	21	.	.	PUNCT
ap-7699	199	22	from	from	ADP
ap-7699	199	23	this	this	DET
ap-7699	199	24	one	one	NOUN
ap-7699	199	25	sees	see	VERB
ap-7699	199	26	an	an	DET
ap-7699	199	27	interesting	interesting	ADJ
ap-7699	199	28	feature	feature	NOUN
ap-7699	199	29	that	that	SCONJ
ap-7699	199	30	while	while	SCONJ
ap-7699	199	31	in	in	ADP
ap-7699	199	32	the	the	DET
ap-7699	199	33	case	case	NOUN
ap-7699	199	34	of	of	ADP
ap-7699	199	35	four	four	NUM
ap-7699	199	36	-	-	PUNCT
ap-7699	199	37	derivative	derivative	ADJ
ap-7699	199	38	stelle	stelle	NOUN
ap-7699	199	39	theory	theory	NOUN
ap-7699	199	40	the	the	DET
ap-7699	199	41	bound	bind	VERB
ap-7699	199	42	was	be	AUX
ap-7699	199	43	independent	independent	ADJ
ap-7699	199	44	on	on	ADP
ap-7699	199	45	the	the	DET
ap-7699	199	46	number	number	NOUN
ap-7699	199	47	of	of	ADP
ap-7699	199	48	loops	loop	NOUN
ap-7699	199	49	l	l	PROPN
ap-7699	199	50	,	,	PUNCT
ap-7699	199	51	for	for	ADP
ap-7699	199	52	the	the	DET
ap-7699	199	53	case	case	NOUN
ap-7699	199	54	of	of	ADP
ap-7699	199	55	six	six	NUM
ap-7699	199	56	derivatives	derivative	NOUN
ap-7699	199	57	(	(	PUNCT
ap-7699	199	58	and	and	CCONJ
ap-7699	199	59	higher	high	ADJ
ap-7699	199	60	too	too	ADV
ap-7699	199	61	)	)	PUNCT
ap-7699	199	62	the	the	DET
ap-7699	199	63	bound	bind	VERB
ap-7699	199	64	is	be	AUX
ap-7699	199	65	tighter	tight	ADJ
ap-7699	199	66	for	for	ADP
ap-7699	199	67	higher	high	ADJ
ap-7699	199	68	number	number	NOUN
ap-7699	199	69	of	of	ADP
ap-7699	199	70	loops	loop	NOUN
ap-7699	199	71	.	.	PUNCT
ap-7699	200	1	this	this	PRON
ap-7699	200	2	is	be	AUX
ap-7699	200	3	the	the	DET
ap-7699	200	4	basis	basis	NOUN
ap-7699	200	5	for	for	ADP
ap-7699	200	6	super	super	ADJ
ap-7699	200	7	-	-	ADJ
ap-7699	200	8	renormalizability	renormalizability	ADJ
ap-7699	200	9	properties	property	NOUN
ap-7699	200	10	.	.	PUNCT
ap-7699	201	1	in	in	ADP
ap-7699	201	2	particular	particular	ADJ
ap-7699	201	3	,	,	PUNCT
ap-7699	201	4	in	in	ADP
ap-7699	201	5	the	the	DET
ap-7699	201	6	case	case	NOUN
ap-7699	201	7	of	of	ADP
ap-7699	201	8	six	six	NUM
ap-7699	201	9	-	-	PUNCT
ap-7699	201	10	derivative	derivative	ADJ
ap-7699	201	11	theories	theory	NOUN
ap-7699	201	12	there	there	PRON
ap-7699	201	13	are	be	VERB
ap-7699	201	14	no	no	DET
ap-7699	201	15	any	any	DET
ap-7699	201	16	loop	loop	NOUN
ap-7699	201	17	divergences	divergence	NOUN
ap-7699	201	18	at	at	ADP
ap-7699	201	19	the	the	DET
ap-7699	201	20	level	level	NOUN
ap-7699	201	21	of	of	ADP
ap-7699	201	22	fourth	fourth	ADJ
ap-7699	201	23	loop	loop	NOUN
ap-7699	201	24	,	,	PUNCT
ap-7699	201	25	since	since	SCONJ
ap-7699	201	26	for	for	ADP
ap-7699	201	27	l	l	NOUN
ap-7699	201	28	=	=	SYM
ap-7699	201	29	4	4	NUM
ap-7699	201	30	we	we	PRON
ap-7699	201	31	find	find	VERB
ap-7699	201	32	that	that	SCONJ
ap-7699	201	33	∆	∆	PROPN
ap-7699	201	34	<	<	X
ap-7699	201	35	0	0	NUM
ap-7699	201	36	,	,	PUNCT
ap-7699	201	37	so	so	ADV
ap-7699	201	38	all	all	DET
ap-7699	201	39	graphs	graph	NOUN
ap-7699	201	40	are	be	AUX
ap-7699	201	41	uv	uv	NOUN
ap-7699	201	42	-	-	PUNCT
ap-7699	201	43	convergent	convergent	NOUN
ap-7699	201	44	.	.	PUNCT
ap-7699	202	1	we	we	PRON
ap-7699	202	2	also	also	ADV
ap-7699	202	3	emphasize	emphasize	VERB
ap-7699	202	4	that	that	SCONJ
ap-7699	202	5	a	a	DET
ap-7699	202	6	superrenormalizable	superrenormalizable	ADJ
ap-7699	202	7	model	model	NOUN
ap-7699	202	8	is	be	AUX
ap-7699	202	9	still	still	ADV
ap-7699	202	10	renormalizable	renormalizable	ADJ
ap-7699	202	11	,	,	PUNCT
ap-7699	202	12	but	but	CCONJ
ap-7699	202	13	at	at	ADP
ap-7699	202	14	the	the	DET
ap-7699	202	15	same	same	ADJ
ap-7699	202	16	time	time	NOUN
ap-7699	202	17	it	it	PRON
ap-7699	202	18	is	be	AUX
ap-7699	202	19	more	more	ADV
ap-7699	202	20	special	special	ADJ
ap-7699	202	21	since	since	SCONJ
ap-7699	202	22	infinities	infinity	NOUN
ap-7699	202	23	in	in	ADP
ap-7699	202	24	the	the	DET
ap-7699	202	25	former	former	ADJ
ap-7699	202	26	do	do	AUX
ap-7699	202	27	not	not	PART
ap-7699	202	28	show	show	VERB
ap-7699	202	29	up	up	ADP
ap-7699	202	30	at	at	ADP
ap-7699	202	31	arbitrary	arbitrary	ADJ
ap-7699	202	32	loop	loop	NOUN
ap-7699	202	33	order	order	NOUN
ap-7699	202	34	l	l	NOUN
ap-7699	202	35	,	,	PUNCT
ap-7699	202	36	which	which	PRON
ap-7699	202	37	is	be	AUX
ap-7699	202	38	instead	instead	ADV
ap-7699	202	39	the	the	DET
ap-7699	202	40	case	case	NOUN
ap-7699	202	41	for	for	ADP
ap-7699	202	42	merely	merely	ADV
ap-7699	202	43	renormalizable	renormalizable	ADJ
ap-7699	202	44	models	model	NOUN
ap-7699	202	45	.	.	PUNCT
ap-7699	203	1	from	from	ADP
ap-7699	203	2	the	the	DET
ap-7699	203	3	formula	formula	NOUN
ap-7699	203	4	(	(	PUNCT
ap-7699	203	5	4	4	NUM
ap-7699	203	6	)	)	PUNCT
ap-7699	203	7	at	at	ADP
ap-7699	203	8	the	the	DET
ap-7699	203	9	l	l	NOUN
ap-7699	203	10	=	=	SYM
ap-7699	203	11	3	3	NUM
ap-7699	203	12	loop	loop	NOUN
ap-7699	203	13	level	level	NOUN
ap-7699	203	14	the	the	DET
ap-7699	203	15	possible	possible	ADJ
ap-7699	203	16	uv	uv	NOUN
ap-7699	203	17	divergences	divergence	NOUN
ap-7699	203	18	are	be	AUX
ap-7699	203	19	only	only	ADV
ap-7699	203	20	of	of	ADP
ap-7699	203	21	the	the	DET
ap-7699	203	22	form	form	NOUN
ap-7699	203	23	proportional	proportional	ADJ
ap-7699	203	24	to	to	ADP
ap-7699	203	25	the	the	DET
ap-7699	203	26	cosmological	cosmological	ADJ
ap-7699	203	27	constant	constant	ADJ
ap-7699	203	28	λ	λ	NOUN
ap-7699	203	29	parameter	parameter	NOUN
ap-7699	203	30	,	,	PUNCT
ap-7699	203	31	so	so	ADV
ap-7699	203	32	completely	completely	ADV
ap-7699	203	33	without	without	ADP
ap-7699	203	34	any	any	DET
ap-7699	203	35	partial	partial	ADJ
ap-7699	203	36	derivatives	derivative	NOUN
ap-7699	203	37	acting	act	VERB
ap-7699	203	38	on	on	ADP
ap-7699	203	39	the	the	DET
ap-7699	203	40	metric	metric	ADJ
ap-7699	203	41	tensor	tensor	NOUN
ap-7699	203	42	.	.	PUNCT
ap-7699	204	1	similarly	similarly	ADV
ap-7699	204	2	for	for	ADP
ap-7699	204	3	the	the	DET
ap-7699	204	4	case	case	NOUN
ap-7699	204	5	of	of	ADP
ap-7699	204	6	l	l	NOUN
ap-7699	204	7	=	=	SYM
ap-7699	204	8	2	2	NUM
ap-7699	204	9	,	,	PUNCT
ap-7699	204	10	we	we	PRON
ap-7699	204	11	have	have	VERB
ap-7699	204	12	that	that	SCONJ
ap-7699	204	13	divergences	divergence	NOUN
ap-7699	204	14	can	can	AUX
ap-7699	204	15	be	be	AUX
ap-7699	204	16	proportional	proportional	ADJ
ap-7699	204	17	to	to	ADP
ap-7699	204	18	the	the	DET
ap-7699	204	19	λ	λ	PROPN
ap-7699	204	20	2we	2we	NOUN
ap-7699	204	21	remind	remind	VERB
ap-7699	204	22	for	for	ADP
ap-7699	204	23	completeness	completeness	NOUN
ap-7699	204	24	that	that	PRON
ap-7699	204	25	the	the	DET
ap-7699	204	26	gauss	gauss	ADJ
ap-7699	204	27	-	-	PUNCT
ap-7699	204	28	bonnet	bonnet	NOUN
ap-7699	204	29	scalar	scalar	ADJ
ap-7699	204	30	term	term	NOUN
ap-7699	204	31	gb	gb	PART
ap-7699	204	32	=	=	PUNCT
ap-7699	204	33	e4	e4	PROPN
ap-7699	204	34	=	=	PROPN
ap-7699	204	35	r2	r2	PROPN
ap-7699	204	36	µνρσ	µνρσ	PROPN
ap-7699	204	37	−	−	PROPN
ap-7699	204	38	4r2	4r2	NUM
ap-7699	204	39	µν	µν	ADP
ap-7699	204	40	+	+	ADJ
ap-7699	204	41	r2	r2	PROPN
ap-7699	204	42	is	be	AUX
ap-7699	204	43	a	a	DET
ap-7699	204	44	topological	topological	ADJ
ap-7699	204	45	term	term	NOUN
ap-7699	204	46	,	,	PUNCT
ap-7699	204	47	that	that	PRON
ap-7699	204	48	is	be	AUX
ap-7699	204	49	its	its	PRON
ap-7699	204	50	variation	variation	NOUN
ap-7699	204	51	in	in	ADP
ap-7699	204	52	four	four	NUM
ap-7699	204	53	spacetime	spacetime	ADJ
ap-7699	204	54	dimensions	dimension	NOUN
ap-7699	204	55	leads	lead	VERB
ap-7699	204	56	to	to	PART
ap-7699	204	57	total	total	VERB
ap-7699	204	58	derivative	derivative	ADJ
ap-7699	204	59	terms	term	NOUN
ap-7699	204	60	contributing	contribute	VERB
ap-7699	204	61	nothing	nothing	PRON
ap-7699	204	62	to	to	ADP
ap-7699	204	63	classical	classical	ADJ
ap-7699	204	64	eom	eom	PROPN
ap-7699	204	65	and	and	CCONJ
ap-7699	204	66	also	also	ADV
ap-7699	204	67	to	to	ADP
ap-7699	204	68	quantum	quantum	ADJ
ap-7699	204	69	perturbation	perturbation	NOUN
ap-7699	204	70	theory	theory	NOUN
ap-7699	204	71	.	.	PUNCT
ap-7699	205	1	it	it	PRON
ap-7699	205	2	may	may	AUX
ap-7699	205	3	however	however	ADV
ap-7699	205	4	contribute	contribute	VERB
ap-7699	205	5	non	non	ADJ
ap-7699	205	6	-	-	ADJ
ap-7699	205	7	perturbatively	perturbatively	ADV
ap-7699	205	8	when	when	SCONJ
ap-7699	205	9	the	the	DET
ap-7699	205	10	topology	topology	NOUN
ap-7699	205	11	changes	change	NOUN
ap-7699	205	12	are	be	AUX
ap-7699	205	13	expected	expect	VERB
ap-7699	205	14	.	.	PUNCT
ap-7699	206	1	but	but	CCONJ
ap-7699	206	2	for	for	ADP
ap-7699	206	3	the	the	DET
ap-7699	206	4	sake	sake	NOUN
ap-7699	206	5	of	of	ADP
ap-7699	206	6	computing	compute	VERB
ap-7699	206	7	uv	uv	NOUN
ap-7699	206	8	divergences	divergence	NOUN
ap-7699	206	9	we	we	PRON
ap-7699	206	10	might	might	AUX
ap-7699	206	11	simply	simply	ADV
ap-7699	206	12	neglect	neglect	VERB
ap-7699	206	13	the	the	DET
ap-7699	206	14	presence	presence	NOUN
ap-7699	206	15	of	of	ADP
ap-7699	206	16	this	this	DET
ap-7699	206	17	term	term	NOUN
ap-7699	206	18	both	both	CCONJ
ap-7699	206	19	in	in	ADP
ap-7699	206	20	the	the	DET
ap-7699	206	21	original	original	ADJ
ap-7699	206	22	action	action	NOUN
ap-7699	206	23	as	as	ADV
ap-7699	206	24	well	well	ADV
ap-7699	206	25	as	as	ADP
ap-7699	206	26	in	in	ADP
ap-7699	206	27	the	the	DET
ap-7699	206	28	resulting	result	VERB
ap-7699	206	29	one	one	NUM
ap-7699	206	30	-	-	PUNCT
ap-7699	206	31	loop	loop	NOUN
ap-7699	206	32	uv	uv	NOUN
ap-7699	206	33	-	-	PUNCT
ap-7699	206	34	divergent	divergent	ADJ
ap-7699	206	35	part	part	NOUN
ap-7699	206	36	of	of	ADP
ap-7699	206	37	the	the	DET
ap-7699	206	38	effective	effective	ADJ
ap-7699	206	39	action	action	NOUN
ap-7699	206	40	.	.	PUNCT
ap-7699	207	1	123	123	NUM
ap-7699	207	2	lesław	lesław	VERB
ap-7699	207	3	rachwał	rachwał	PROPN
ap-7699	207	4	acta	acta	PROPN
ap-7699	207	5	polytechnica	polytechnica	PROPN
ap-7699	207	6	(	(	PUNCT
ap-7699	207	7	with	with	ADP
ap-7699	207	8	no	no	DET
ap-7699	207	9	derivatives	derivative	NOUN
ap-7699	207	10	)	)	PUNCT
ap-7699	207	11	and	and	CCONJ
ap-7699	207	12	also	also	ADV
ap-7699	207	13	to	to	ADP
ap-7699	207	14	the	the	DET
ap-7699	207	15	first	first	ADJ
ap-7699	207	16	power	power	NOUN
ap-7699	207	17	of	of	ADP
ap-7699	207	18	the	the	DET
ap-7699	207	19	ricci	ricci	PROPN
ap-7699	207	20	scalar	scalar	NOUN
ap-7699	207	21	r	r	NOUN
ap-7699	207	22	of	of	ADP
ap-7699	207	23	the	the	DET
ap-7699	207	24	manifold	manifold	NOUN
ap-7699	207	25	(	(	PUNCT
ap-7699	207	26	with	with	ADP
ap-7699	207	27	two	two	NUM
ap-7699	207	28	derivatives	derivative	NOUN
ap-7699	207	29	on	on	ADP
ap-7699	207	30	the	the	DET
ap-7699	207	31	metric	metric	NOUN
ap-7699	207	32	,	,	PUNCT
ap-7699	207	33	when	when	SCONJ
ap-7699	207	34	it	it	PRON
ap-7699	207	35	is	be	AUX
ap-7699	207	36	expanded	expand	VERB
ap-7699	207	37	)	)	PUNCT
ap-7699	207	38	.	.	PUNCT
ap-7699	208	1	in	in	ADP
ap-7699	208	2	what	what	PRON
ap-7699	208	3	follows	follow	VERB
ap-7699	208	4	we	we	PRON
ap-7699	208	5	will	will	AUX
ap-7699	208	6	not	not	PART
ap-7699	208	7	concentrate	concentrate	VERB
ap-7699	208	8	on	on	ADP
ap-7699	208	9	these	these	DET
ap-7699	208	10	types	type	NOUN
ap-7699	208	11	of	of	ADP
ap-7699	208	12	subleading	subleade	VERB
ap-7699	208	13	in	in	ADP
ap-7699	208	14	the	the	DET
ap-7699	208	15	uv	uv	NOUN
ap-7699	208	16	divergences	divergence	NOUN
ap-7699	208	17	and	and	CCONJ
ap-7699	208	18	our	our	PRON
ap-7699	208	19	main	main	ADJ
ap-7699	208	20	attention	attention	NOUN
ap-7699	208	21	in	in	ADP
ap-7699	208	22	this	this	DET
ap-7699	208	23	paper	paper	NOUN
ap-7699	208	24	will	will	AUX
ap-7699	208	25	be	be	AUX
ap-7699	208	26	placed	place	VERB
ap-7699	208	27	on	on	ADP
ap-7699	208	28	the	the	DET
ap-7699	208	29	four	four	NUM
ap-7699	208	30	-	-	PUNCT
ap-7699	208	31	derivative	derivative	ADJ
ap-7699	208	32	divergences	divergence	NOUN
ap-7699	208	33	as	as	ADP
ap-7699	208	34	present	present	ADJ
ap-7699	208	35	in	in	ADP
ap-7699	208	36	the	the	DET
ap-7699	208	37	action	action	NOUN
ap-7699	208	38	(	(	PUNCT
ap-7699	208	39	1	1	NUM
ap-7699	208	40	)	)	PUNCT
ap-7699	208	41	.	.	PUNCT
ap-7699	209	1	up	up	ADP
ap-7699	209	2	to	to	ADP
ap-7699	209	3	the	the	DET
ap-7699	209	4	presence	presence	NOUN
ap-7699	209	5	of	of	ADP
ap-7699	209	6	the	the	DET
ap-7699	209	7	gauss	gauss	ADJ
ap-7699	209	8	-	-	PUNCT
ap-7699	209	9	bonnet	bonnet	NOUN
ap-7699	209	10	term	term	NOUN
ap-7699	209	11	they	they	PRON
ap-7699	209	12	are	be	AUX
ap-7699	209	13	the	the	DET
ap-7699	209	14	same	same	ADJ
ap-7699	209	15	as	as	ADP
ap-7699	209	16	induced	induce	VERB
ap-7699	209	17	from	from	ADP
ap-7699	209	18	quantum	quantum	NOUN
ap-7699	209	19	matter	matter	NOUN
ap-7699	209	20	loops	loop	NOUN
ap-7699	209	21	.	.	PUNCT
ap-7699	210	1	these	these	DET
ap-7699	210	2	types	type	NOUN
ap-7699	210	3	of	of	ADP
ap-7699	210	4	divergences	divergence	NOUN
ap-7699	210	5	are	be	AUX
ap-7699	210	6	only	only	ADV
ap-7699	210	7	generated	generate	VERB
ap-7699	210	8	at	at	ADP
ap-7699	210	9	the	the	DET
ap-7699	210	10	one	one	NUM
ap-7699	210	11	-	-	PUNCT
ap-7699	210	12	loop	loop	NOUN
ap-7699	210	13	level	level	NOUN
ap-7699	210	14	since	since	SCONJ
ap-7699	210	15	for	for	ADP
ap-7699	210	16	them	they	PRON
ap-7699	210	17	we	we	PRON
ap-7699	210	18	must	must	AUX
ap-7699	210	19	have	have	VERB
ap-7699	210	20	d∂	d∂	NOUN
ap-7699	210	21	=	=	SYM
ap-7699	210	22	4	4	NUM
ap-7699	210	23	and	and	CCONJ
ap-7699	210	24	∆	∆	PUNCT
ap-7699	210	25	=	=	SYM
ap-7699	211	1	0	0	X
ap-7699	211	2	.	.	PUNCT
ap-7699	212	1	the	the	DET
ap-7699	212	2	last	last	ADJ
ap-7699	212	3	information	information	NOUN
ap-7699	212	4	signifies	signify	VERB
ap-7699	212	5	that	that	SCONJ
ap-7699	212	6	they	they	PRON
ap-7699	212	7	are	be	AUX
ap-7699	212	8	universal	universal	ADJ
ap-7699	212	9	logarithmic	logarithmic	ADJ
ap-7699	212	10	divergences	divergence	NOUN
ap-7699	212	11	.	.	PUNCT
ap-7699	213	1	their	their	PRON
ap-7699	213	2	names	name	NOUN
ap-7699	213	3	originate	originate	VERB
ap-7699	213	4	from	from	ADP
ap-7699	213	5	the	the	DET
ap-7699	213	6	fact	fact	NOUN
ap-7699	213	7	that	that	SCONJ
ap-7699	213	8	they	they	PRON
ap-7699	213	9	arise	arise	VERB
ap-7699	213	10	when	when	SCONJ
ap-7699	213	11	the	the	DET
ap-7699	213	12	ultraviolet	ultraviolet	NOUN
ap-7699	213	13	cutoff	cutoff	NOUN
ap-7699	213	14	λuv	λuv	NOUN
ap-7699	213	15	is	be	AUX
ap-7699	213	16	used	use	VERB
ap-7699	213	17	to	to	PART
ap-7699	213	18	cut	cut	VERB
ap-7699	213	19	the	the	DET
ap-7699	213	20	one	one	NUM
ap-7699	213	21	-	-	PUNCT
ap-7699	213	22	loop	loop	NOUN
ap-7699	213	23	integrations	integration	NOUN
ap-7699	213	24	over	over	ADP
ap-7699	213	25	momenta	momenta	NOUN
ap-7699	213	26	of	of	ADP
ap-7699	213	27	modes	mode	NOUN
ap-7699	213	28	running	run	VERB
ap-7699	213	29	in	in	ADP
ap-7699	213	30	the	the	DET
ap-7699	213	31	loop	loop	NOUN
ap-7699	213	32	in	in	ADP
ap-7699	213	33	the	the	DET
ap-7699	213	34	upper	upper	ADJ
ap-7699	213	35	limits	limit	NOUN
ap-7699	213	36	.	.	PUNCT
ap-7699	214	1	the	the	DET
ap-7699	214	2	analysis	analysis	NOUN
ap-7699	214	3	of	of	ADP
ap-7699	214	4	power	power	NOUN
ap-7699	214	5	counting	counting	NOUN
ap-7699	214	6	implies	imply	VERB
ap-7699	214	7	that	that	SCONJ
ap-7699	214	8	the	the	DET
ap-7699	214	9	theory	theory	NOUN
ap-7699	214	10	has	have	VERB
ap-7699	214	11	divergences	divergence	NOUN
ap-7699	214	12	only	only	ADV
ap-7699	214	13	at	at	ADP
ap-7699	214	14	the	the	DET
ap-7699	214	15	first	first	ADJ
ap-7699	214	16	,	,	PUNCT
ap-7699	214	17	second	second	ADJ
ap-7699	214	18	and	and	CCONJ
ap-7699	214	19	third	third	ADJ
ap-7699	214	20	loop	loop	NOUN
ap-7699	214	21	order	order	NOUN
ap-7699	214	22	and	and	CCONJ
ap-7699	214	23	starting	start	VERB
ap-7699	214	24	from	from	ADP
ap-7699	214	25	the	the	DET
ap-7699	214	26	fourth	fourth	ADJ
ap-7699	214	27	loop	loop	NOUN
ap-7699	214	28	level	level	NOUN
ap-7699	214	29	it	it	PRON
ap-7699	214	30	is	be	AUX
ap-7699	214	31	completely	completely	ADV
ap-7699	214	32	uv	uv	NOUN
ap-7699	214	33	-	-	PUNCT
ap-7699	214	34	finite	finite	ADJ
ap-7699	214	35	model	model	NOUN
ap-7699	214	36	of	of	ADP
ap-7699	214	37	qg	qg	PROPN
ap-7699	214	38	.	.	PUNCT
ap-7699	215	1	moreover	moreover	ADV
ap-7699	215	2	,	,	PUNCT
ap-7699	215	3	based	base	VERB
ap-7699	215	4	on	on	ADP
ap-7699	215	5	the	the	DET
ap-7699	215	6	above	above	ADJ
ap-7699	215	7	argumentation	argumentation	NOUN
ap-7699	215	8	,	,	PUNCT
ap-7699	215	9	the	the	DET
ap-7699	215	10	beta	beta	NOUN
ap-7699	215	11	functions	function	NOUN
ap-7699	215	12	that	that	PRON
ap-7699	215	13	we	we	PRON
ap-7699	215	14	report	report	VERB
ap-7699	215	15	below	below	ADV
ap-7699	215	16	(	(	PUNCT
ap-7699	215	17	in	in	ADP
ap-7699	215	18	front	front	NOUN
ap-7699	215	19	of	of	ADP
ap-7699	215	20	gr	gr	ADJ
ap-7699	215	21	-	-	PUNCT
ap-7699	215	22	covariant	covariant	ADJ
ap-7699	215	23	terms	term	NOUN
ap-7699	215	24	with	with	ADP
ap-7699	215	25	four	four	NUM
ap-7699	215	26	derivatives	derivative	NOUN
ap-7699	215	27	in	in	ADP
ap-7699	215	28	the	the	DET
ap-7699	215	29	divergent	divergent	ADJ
ap-7699	215	30	effective	effective	ADJ
ap-7699	215	31	action	action	NOUN
ap-7699	215	32	)	)	PUNCT
ap-7699	215	33	receive	receive	VERB
ap-7699	215	34	contributions	contribution	NOUN
ap-7699	215	35	only	only	ADV
ap-7699	215	36	at	at	ADP
ap-7699	215	37	the	the	DET
ap-7699	215	38	one	one	NUM
ap-7699	215	39	-	-	PUNCT
ap-7699	215	40	loop	loop	NOUN
ap-7699	215	41	level	level	NOUN
ap-7699	215	42	and	and	CCONJ
ap-7699	215	43	higher	high	ADJ
ap-7699	215	44	orders	order	NOUN
ap-7699	215	45	(	(	PUNCT
ap-7699	215	46	like	like	INTJ
ap-7699	215	47	twoand	twoand	VERB
ap-7699	215	48	three	three	NUM
ap-7699	215	49	-	-	PUNCT
ap-7699	215	50	loop	loop	NOUN
ap-7699	215	51	)	)	PUNCT
ap-7699	215	52	do	do	AUX
ap-7699	215	53	not	not	PART
ap-7699	215	54	have	have	VERB
ap-7699	215	55	any	any	DET
ap-7699	215	56	impact	impact	NOUN
ap-7699	215	57	on	on	ADP
ap-7699	215	58	them	they	PRON
ap-7699	215	59	.	.	PUNCT
ap-7699	216	1	this	this	PRON
ap-7699	216	2	means	mean	VERB
ap-7699	216	3	that	that	SCONJ
ap-7699	216	4	the	the	DET
ap-7699	216	5	beta	beta	NOUN
ap-7699	216	6	functions	function	NOUN
ap-7699	216	7	that	that	PRON
ap-7699	216	8	we	we	PRON
ap-7699	216	9	are	be	AUX
ap-7699	216	10	interested	interested	ADJ
ap-7699	216	11	in	in	ADP
ap-7699	216	12	and	and	CCONJ
ap-7699	216	13	that	that	SCONJ
ap-7699	216	14	we	we	PRON
ap-7699	216	15	computed	compute	VERB
ap-7699	216	16	at	at	ADP
ap-7699	216	17	the	the	DET
ap-7699	216	18	one	one	NUM
ap-7699	216	19	-	-	PUNCT
ap-7699	216	20	loop	loop	NOUN
ap-7699	216	21	level	level	NOUN
ap-7699	216	22	are	be	AUX
ap-7699	216	23	all	all	ADV
ap-7699	216	24	valid	valid	ADJ
ap-7699	216	25	to	to	ADP
ap-7699	216	26	all	all	DET
ap-7699	216	27	loop	loop	NOUN
ap-7699	216	28	orders	order	NOUN
ap-7699	216	29	,	,	PUNCT
ap-7699	216	30	hence	hence	ADV
ap-7699	216	31	our	our	PRON
ap-7699	216	32	results	result	NOUN
ap-7699	216	33	for	for	ADP
ap-7699	216	34	them	they	PRON
ap-7699	216	35	are	be	AUX
ap-7699	216	36	truly	truly	ADV
ap-7699	216	37	exact	exact	ADJ
ap-7699	216	38	.	.	PUNCT
ap-7699	217	1	they	they	PRON
ap-7699	217	2	do	do	AUX
ap-7699	217	3	not	not	PART
ap-7699	217	4	receive	receive	VERB
ap-7699	217	5	any	any	DET
ap-7699	217	6	perturbative	perturbative	ADJ
ap-7699	217	7	contributions	contribution	NOUN
ap-7699	217	8	from	from	ADP
ap-7699	217	9	higher	high	ADJ
ap-7699	217	10	loops	loop	NOUN
ap-7699	217	11	.	.	PUNCT
ap-7699	218	1	for	for	ADP
ap-7699	218	2	other	other	ADJ
ap-7699	218	3	terms	term	NOUN
ap-7699	218	4	in	in	ADP
ap-7699	218	5	the	the	DET
ap-7699	218	6	divergent	divergent	ADJ
ap-7699	218	7	action	action	NOUN
ap-7699	218	8	(	(	PUNCT
ap-7699	218	9	like	like	ADP
ap-7699	218	10	λ	λ	NOUN
ap-7699	218	11	or	or	CCONJ
ap-7699	218	12	r	r	X
ap-7699	218	13	)	)	PUNCT
ap-7699	218	14	this	this	PRON
ap-7699	218	15	is	be	AUX
ap-7699	218	16	not	not	PART
ap-7699	218	17	true	true	ADJ
ap-7699	218	18	.	.	PUNCT
ap-7699	219	1	the	the	DET
ap-7699	219	2	theory	theory	NOUN
ap-7699	219	3	is	be	AUX
ap-7699	219	4	four	four	NUM
ap-7699	219	5	-	-	PUNCT
ap-7699	219	6	loop	loop	NOUN
ap-7699	219	7	finite	finite	NOUN
ap-7699	219	8	,	,	PUNCT
ap-7699	219	9	while	while	SCONJ
ap-7699	219	10	the	the	DET
ap-7699	219	11	beta	beta	NOUN
ap-7699	219	12	functions	function	NOUN
ap-7699	219	13	of	of	ADP
ap-7699	219	14	r2	r2	NOUN
ap-7699	219	15	,	,	PUNCT
ap-7699	219	16	c2	c2	PROPN
ap-7699	219	17	and	and	CCONJ
ap-7699	219	18	gb	gb	PROPN
ap-7699	219	19	terms	term	NOUN
ap-7699	219	20	are	be	AUX
ap-7699	219	21	one	one	NUM
ap-7699	219	22	-	-	PUNCT
ap-7699	219	23	loop	loop	NOUN
ap-7699	219	24	exact	exact	NOUN
ap-7699	219	25	.	.	PUNCT
ap-7699	220	1	all	all	DET
ap-7699	220	2	these	these	DET
ap-7699	220	3	miracles	miracle	NOUN
ap-7699	220	4	are	be	AUX
ap-7699	220	5	only	only	ADV
ap-7699	220	6	possible	possible	ADJ
ap-7699	220	7	to	to	PART
ap-7699	220	8	happen	happen	VERB
ap-7699	220	9	in	in	ADP
ap-7699	220	10	very	very	ADV
ap-7699	220	11	special	special	ADJ
ap-7699	220	12	super	super	ADJ
ap-7699	220	13	-	-	ADJ
ap-7699	220	14	renormalizable	renormalizable	ADJ
ap-7699	220	15	model	model	NOUN
ap-7699	220	16	since	since	SCONJ
ap-7699	220	17	we	we	PRON
ap-7699	220	18	have	have	VERB
ap-7699	220	19	six	six	NUM
ap-7699	220	20	derivatives	derivative	NOUN
ap-7699	220	21	in	in	ADP
ap-7699	220	22	the	the	DET
ap-7699	220	23	gravitational	gravitational	ADJ
ap-7699	220	24	propagator	propagator	NOUN
ap-7699	220	25	around	around	ADP
ap-7699	220	26	flat	flat	ADJ
ap-7699	220	27	spacetime	spacetime	NOUN
ap-7699	220	28	.	.	PUNCT
ap-7699	221	1	this	this	DET
ap-7699	221	2	number	number	NOUN
ap-7699	221	3	is	be	AUX
ap-7699	221	4	bigger	big	ADJ
ap-7699	221	5	than	than	ADP
ap-7699	221	6	the	the	DET
ap-7699	221	7	minimal	minimal	ADJ
ap-7699	221	8	for	for	ADP
ap-7699	221	9	a	a	DET
ap-7699	221	10	renormalizable	renormalizable	ADJ
ap-7699	221	11	and	and	CCONJ
ap-7699	221	12	scale	scale	NOUN
ap-7699	221	13	-	-	PUNCT
ap-7699	221	14	invariant	invariant	ADJ
ap-7699	221	15	qg	qg	PROPN
ap-7699	221	16	theory	theory	NOUN
ap-7699	221	17	in	in	ADP
ap-7699	221	18	d	d	PROPN
ap-7699	221	19	=	=	SYM
ap-7699	221	20	4	4	NUM
ap-7699	221	21	spacetime	spacetime	NOUN
ap-7699	221	22	dimensions	dimension	NOUN
ap-7699	221	23	and	and	CCONJ
ap-7699	221	24	this	this	PRON
ap-7699	221	25	is	be	AUX
ap-7699	221	26	the	the	DET
ap-7699	221	27	origin	origin	NOUN
ap-7699	221	28	of	of	ADP
ap-7699	221	29	the	the	DET
ap-7699	221	30	facts	fact	NOUN
ap-7699	221	31	above	above	ADV
ap-7699	221	32	since	since	SCONJ
ap-7699	221	33	we	we	PRON
ap-7699	221	34	have	have	VERB
ap-7699	221	35	a	a	DET
ap-7699	221	36	higher	high	ADJ
ap-7699	221	37	momentum	momentum	NOUN
ap-7699	221	38	suppression	suppression	NOUN
ap-7699	221	39	in	in	ADP
ap-7699	221	40	the	the	DET
ap-7699	221	41	graviton	graviton	NOUN
ap-7699	221	42	’s	’s	PART
ap-7699	221	43	propagator	propagator	NOUN
ap-7699	221	44	.	.	PUNCT
ap-7699	222	1	according	accord	VERB
ap-7699	222	2	to	to	ADP
ap-7699	222	3	what	what	PRON
ap-7699	222	4	we	we	PRON
ap-7699	222	5	have	have	AUX
ap-7699	222	6	stated	state	VERB
ap-7699	222	7	before	before	ADV
ap-7699	222	8	,	,	PUNCT
ap-7699	222	9	we	we	PRON
ap-7699	222	10	decide	decide	VERB
ap-7699	222	11	to	to	PART
ap-7699	222	12	study	study	VERB
ap-7699	222	13	the	the	DET
ap-7699	222	14	quantum	quantum	NOUN
ap-7699	222	15	theory	theory	NOUN
ap-7699	222	16	described	describe	VERB
ap-7699	222	17	by	by	ADP
ap-7699	222	18	the	the	DET
ap-7699	222	19	following	follow	VERB
ap-7699	222	20	classical	classical	ADJ
ap-7699	222	21	lagrangian	lagrangian	ADJ
ap-7699	222	22	,	,	PUNCT
ap-7699	222	23	l	l	NOUN
ap-7699	222	24	=	=	SYM
ap-7699	222	25	ωccµνρσ	ωccµνρσ	NOUN
ap-7699	222	26	□	□	X
ap-7699	222	27	cµνρσ	cµνρσ	NOUN
ap-7699	222	28	+	+	CCONJ
ap-7699	222	29	ωrr	ωrr	ADJ
ap-7699	222	30	□	□	ADJ
ap-7699	222	31	r	r	NOUN
ap-7699	222	32	+	+	NOUN
ap-7699	222	33	θcc2	θcc2	NOUN
ap-7699	222	34	+	+	CCONJ
ap-7699	222	35	θrr2	θrr2	PROPN
ap-7699	222	36	+	+	CCONJ
ap-7699	222	37	θgbgb	θgbgb	ADJ
ap-7699	222	38	+	+	CCONJ
ap-7699	222	39	ωκr	ωκr	X
ap-7699	222	40	+	+	CCONJ
ap-7699	222	41	ωλ	ωλ	ADJ
ap-7699	222	42	.	.	PUNCT
ap-7699	223	1	(	(	PUNCT
ap-7699	223	2	6	6	NUM
ap-7699	223	3	)	)	PUNCT
ap-7699	223	4	from	from	ADP
ap-7699	223	5	this	this	DET
ap-7699	223	6	lagrangian	lagrangian	NOUN
ap-7699	223	7	we	we	PRON
ap-7699	223	8	construct	construct	VERB
ap-7699	223	9	the	the	DET
ap-7699	223	10	action	action	NOUN
ap-7699	223	11	of	of	ADP
ap-7699	223	12	our	our	PRON
ap-7699	223	13	hd	hd	NOUN
ap-7699	223	14	quantum	quantum	PROPN
ap-7699	223	15	gravitational	gravitational	ADJ
ap-7699	223	16	model	model	NOUN
ap-7699	223	17	,	,	PUNCT
ap-7699	223	18	here	here	ADV
ap-7699	223	19	with	with	ADP
ap-7699	223	20	six	six	NUM
ap-7699	223	21	derivatives	derivative	NOUN
ap-7699	223	22	as	as	ADP
ap-7699	223	23	the	the	DET
ap-7699	223	24	leading	lead	VERB
ap-7699	223	25	number	number	NOUN
ap-7699	223	26	of	of	ADP
ap-7699	223	27	derivatives	derivative	NOUN
ap-7699	223	28	in	in	ADP
ap-7699	223	29	the	the	DET
ap-7699	223	30	uv	uv	NOUN
ap-7699	223	31	regime	regime	NOUN
ap-7699	223	32	,	,	PUNCT
ap-7699	223	33	by	by	ADP
ap-7699	223	34	the	the	DET
ap-7699	223	35	formula	formula	NOUN
ap-7699	223	36	shd	shd	NOUN
ap-7699	223	37	=	=	SYM
ap-7699	223	38	∫	∫	PROPN
ap-7699	223	39	d4x	d4x	PROPN
ap-7699	223	40	√	√	PROPN
ap-7699	223	41	|g|l	|g|l	PROPN
ap-7699	223	42	.	.	PUNCT
ap-7699	224	1	(	(	PUNCT
ap-7699	224	2	7	7	NUM
ap-7699	224	3	)	)	PUNCT
ap-7699	224	4	above	above	ADV
ap-7699	224	5	by	by	ADP
ap-7699	224	6	cµνρσ	cµνρσ	PROPN
ap-7699	224	7	we	we	PRON
ap-7699	224	8	denote	denote	VERB
ap-7699	224	9	the	the	DET
ap-7699	224	10	weyl	weyl	VERB
ap-7699	224	11	tensor	tensor	NOUN
ap-7699	224	12	(	(	PUNCT
ap-7699	224	13	constructed	construct	VERB
ap-7699	224	14	from	from	ADP
ap-7699	224	15	the	the	DET
ap-7699	224	16	riemann	riemann	PROPN
ap-7699	224	17	rµνρσ	rµνρσ	PROPN
ap-7699	224	18	,	,	PUNCT
ap-7699	224	19	ricci	ricci	PROPN
ap-7699	224	20	tensor	tensor	NOUN
ap-7699	224	21	rµν	rµν	PROPN
ap-7699	224	22	and	and	CCONJ
ap-7699	224	23	ricci	ricci	PROPN
ap-7699	224	24	scalar	scalar	ADJ
ap-7699	224	25	r	r	NOUN
ap-7699	224	26	and	and	CCONJ
ap-7699	224	27	with	with	ADP
ap-7699	224	28	coefficients	coefficient	NOUN
ap-7699	224	29	suitable	suitable	ADJ
ap-7699	224	30	for	for	ADP
ap-7699	224	31	d	d	PROPN
ap-7699	224	32	=	=	SYM
ap-7699	224	33	4	4	NUM
ap-7699	224	34	case	case	NOUN
ap-7699	224	35	)	)	PUNCT
ap-7699	224	36	.	.	PUNCT
ap-7699	225	1	moreover	moreover	ADV
ap-7699	225	2	,	,	PUNCT
ap-7699	225	3	by	by	ADP
ap-7699	225	4	gb	gb	PRON
ap-7699	225	5	we	we	PRON
ap-7699	225	6	mean	mean	VERB
ap-7699	225	7	the	the	DET
ap-7699	225	8	euler	euler	NOUN
ap-7699	225	9	term	term	NOUN
ap-7699	225	10	which	which	PRON
ap-7699	225	11	gives	give	VERB
ap-7699	225	12	rise	rise	NOUN
ap-7699	225	13	to	to	PART
ap-7699	225	14	euler	euler	VERB
ap-7699	225	15	characteristic	characteristic	ADJ
ap-7699	225	16	of	of	ADP
ap-7699	225	17	the	the	DET
ap-7699	225	18	spacetime	spacetime	NOUN
ap-7699	225	19	after	after	ADP
ap-7699	225	20	integrating	integrate	VERB
ap-7699	225	21	over	over	ADP
ap-7699	225	22	the	the	DET
ap-7699	225	23	whole	whole	ADJ
ap-7699	225	24	manifold	manifold	NOUN
ap-7699	225	25	.	.	PUNCT
ap-7699	226	1	its	its	PRON
ap-7699	226	2	integrand	integrand	NOUN
ap-7699	226	3	is	be	AUX
ap-7699	226	4	given	give	VERB
ap-7699	226	5	by	by	ADP
ap-7699	226	6	the	the	DET
ap-7699	226	7	term	term	NOUN
ap-7699	226	8	also	also	ADV
ap-7699	226	9	known	know	VERB
ap-7699	226	10	as	as	ADP
ap-7699	226	11	the	the	DET
ap-7699	226	12	gauss	gauss	ADJ
ap-7699	226	13	-	-	PUNCT
ap-7699	226	14	bonnet	bonnet	NOUN
ap-7699	226	15	term	term	NOUN
ap-7699	226	16	and	and	CCONJ
ap-7699	226	17	it	it	PRON
ap-7699	226	18	has	have	VERB
ap-7699	226	19	the	the	DET
ap-7699	226	20	following	follow	VERB
ap-7699	226	21	expansion	expansion	NOUN
ap-7699	226	22	in	in	ADP
ap-7699	226	23	other	other	ADJ
ap-7699	226	24	terms	term	NOUN
ap-7699	226	25	quadratic	quadratic	ADJ
ap-7699	226	26	in	in	ADP
ap-7699	226	27	the	the	DET
ap-7699	226	28	gravitational	gravitational	ADJ
ap-7699	226	29	curvatures	curvature	NOUN
ap-7699	226	30	,	,	PUNCT
ap-7699	226	31	gb	gb	NOUN
ap-7699	226	32	=	=	PROPN
ap-7699	226	33	e4	e4	PROPN
ap-7699	226	34	=	=	PROPN
ap-7699	226	35	r2	r2	PROPN
ap-7699	226	36	µνρσ	µνρσ	PROPN
ap-7699	226	37	−	−	PROPN
ap-7699	226	38	4r2	4r2	NUM
ap-7699	226	39	µν	µν	ADP
ap-7699	226	40	+	+	X
ap-7699	226	41	r2	r2	NOUN
ap-7699	226	42	.	.	PUNCT
ap-7699	227	1	(	(	PUNCT
ap-7699	227	2	8)	8)	NUM
ap-7699	227	3	similarly	similarly	ADV
ap-7699	227	4	,	,	PUNCT
ap-7699	227	5	we	we	PRON
ap-7699	227	6	can	can	AUX
ap-7699	227	7	write	write	VERB
ap-7699	227	8	for	for	ADP
ap-7699	227	9	the	the	DET
ap-7699	227	10	“	"	PUNCT
ap-7699	227	11	square	square	NOUN
ap-7699	227	12	”	"	PUNCT
ap-7699	227	13	of	of	ADP
ap-7699	227	14	the	the	DET
ap-7699	227	15	weyl	weyl	VERB
ap-7699	227	16	tensor	tensor	NOUN
ap-7699	227	17	in	in	ADP
ap-7699	227	18	d	d	PROPN
ap-7699	227	19	=	=	SYM
ap-7699	227	20	4	4	NUM
ap-7699	227	21	c2	c2	PROPN
ap-7699	227	22	=	=	SYM
ap-7699	227	23	c2	c2	PROPN
ap-7699	227	24	µνρσ	µνρσ	PROPN
ap-7699	227	25	=	=	SYM
ap-7699	227	26	cµνρσcµνρσ	cµνρσcµνρσ	PROPN
ap-7699	227	27	=	=	SYM
ap-7699	227	28	r2	r2	PROPN
ap-7699	227	29	µνρσ	µνρσ	PROPN
ap-7699	227	30	−	−	PROPN
ap-7699	227	31	2r2	2r2	NUM
ap-7699	227	32	µν	µν	ADP
ap-7699	227	33	+	+	ADJ
ap-7699	227	34	1	1	NUM
ap-7699	227	35	3r2	3r2	NUM
ap-7699	227	36	.	.	PUNCT
ap-7699	228	1	(	(	PUNCT
ap-7699	228	2	9	9	NUM
ap-7699	228	3	)	)	PUNCT
ap-7699	228	4	finally	finally	ADV
ap-7699	228	5	,	,	PUNCT
ap-7699	228	6	to	to	PART
ap-7699	228	7	denote	denote	VERB
ap-7699	228	8	the	the	DET
ap-7699	228	9	box	box	NOUN
ap-7699	228	10	operator	operator	NOUN
ap-7699	228	11	we	we	PRON
ap-7699	228	12	use	use	VERB
ap-7699	228	13	the	the	DET
ap-7699	228	14	symbol	symbol	NOUN
ap-7699	228	15	□	□	PUNCT
ap-7699	228	16	with	with	ADP
ap-7699	228	17	the	the	DET
ap-7699	228	18	definition	definition	NOUN
ap-7699	228	19	□	□	PUNCT
ap-7699	228	20	=	=	SYM
ap-7699	228	21	gµν∇µ∇ν	gµν∇µ∇ν	PROPN
ap-7699	228	22	,	,	PUNCT
ap-7699	228	23	which	which	PRON
ap-7699	228	24	is	be	AUX
ap-7699	228	25	a	a	DET
ap-7699	228	26	grcovariant	grcovariant	ADJ
ap-7699	228	27	analogue	analogue	NOUN
ap-7699	228	28	of	of	ADP
ap-7699	228	29	the	the	DET
ap-7699	228	30	d’alembertian	d’alembertian	ADJ
ap-7699	228	31	operator	operator	NOUN
ap-7699	228	32	∂2	∂2	NOUN
ap-7699	228	33	known	know	VERB
ap-7699	228	34	from	from	ADP
ap-7699	228	35	the	the	DET
ap-7699	228	36	flat	flat	ADJ
ap-7699	228	37	spacetime	spacetime	NOUN
ap-7699	228	38	.	.	PUNCT
ap-7699	229	1	it	it	PRON
ap-7699	229	2	is	be	AUX
ap-7699	229	3	important	important	ADJ
ap-7699	229	4	to	to	PART
ap-7699	229	5	emphasize	emphasize	VERB
ap-7699	229	6	here	here	ADV
ap-7699	229	7	that	that	SCONJ
ap-7699	229	8	the	the	DET
ap-7699	229	9	lagrangian	lagrangian	ADJ
ap-7699	229	10	(	(	PUNCT
ap-7699	229	11	6	6	NUM
ap-7699	229	12	)	)	PUNCT
ap-7699	229	13	describes	describe	VERB
ap-7699	229	14	the	the	DET
ap-7699	229	15	most	most	ADV
ap-7699	229	16	general	general	ADJ
ap-7699	229	17	six	six	NUM
ap-7699	229	18	-	-	PUNCT
ap-7699	229	19	derivative	derivative	ADJ
ap-7699	229	20	theory	theory	NOUN
ap-7699	229	21	describing	describe	VERB
ap-7699	229	22	the	the	DET
ap-7699	229	23	propagation	propagation	NOUN
ap-7699	229	24	of	of	ADP
ap-7699	229	25	gravitational	gravitational	ADJ
ap-7699	229	26	fluctuations	fluctuation	NOUN
ap-7699	229	27	on	on	ADP
ap-7699	229	28	flat	flat	ADJ
ap-7699	229	29	spacetime	spacetime	NOUN
ap-7699	229	30	.	.	PUNCT
ap-7699	230	1	for	for	ADP
ap-7699	230	2	this	this	DET
ap-7699	230	3	purpose	purpose	NOUN
ap-7699	230	4	it	it	PRON
ap-7699	230	5	is	be	AUX
ap-7699	230	6	important	important	ADJ
ap-7699	230	7	to	to	PART
ap-7699	230	8	include	include	VERB
ap-7699	230	9	all	all	DET
ap-7699	230	10	terms	term	NOUN
ap-7699	230	11	that	that	PRON
ap-7699	230	12	are	be	AUX
ap-7699	230	13	quadratic	quadratic	ADJ
ap-7699	230	14	in	in	ADP
ap-7699	230	15	gravitational	gravitational	ADJ
ap-7699	230	16	curvature	curvature	NOUN
ap-7699	230	17	.	.	PUNCT
ap-7699	231	1	as	as	SCONJ
ap-7699	231	2	it	it	PRON
ap-7699	231	3	is	be	AUX
ap-7699	231	4	obvious	obvious	ADJ
ap-7699	231	5	from	from	ADP
ap-7699	231	6	the	the	DET
ap-7699	231	7	construction	construction	NOUN
ap-7699	231	8	of	of	ADP
ap-7699	231	9	the	the	DET
ap-7699	231	10	lagrangian	lagrangian	NOUN
ap-7699	231	11	in	in	ADP
ap-7699	231	12	(	(	PUNCT
ap-7699	231	13	6	6	NUM
ap-7699	231	14	)	)	PUNCT
ap-7699	231	15	for	for	ADP
ap-7699	231	16	six	six	NUM
ap-7699	231	17	-	-	PUNCT
ap-7699	231	18	derivative	derivative	ADJ
ap-7699	231	19	model	model	NOUN
ap-7699	231	20	we	we	PRON
ap-7699	231	21	have	have	VERB
ap-7699	231	22	to	to	PART
ap-7699	231	23	include	include	VERB
ap-7699	231	24	terms	term	NOUN
ap-7699	231	25	which	which	PRON
ap-7699	231	26	are	be	AUX
ap-7699	231	27	quadratic	quadratic	ADJ
ap-7699	231	28	in	in	ADP
ap-7699	231	29	the	the	DET
ap-7699	231	30	weyl	weyl	VERB
ap-7699	231	31	tensor	tensor	NOUN
ap-7699	231	32	or	or	CCONJ
ap-7699	231	33	ricci	ricci	PROPN
ap-7699	231	34	scalar	scalar	NOUN
ap-7699	232	1	and	and	CCONJ
ap-7699	232	2	they	they	PRON
ap-7699	232	3	contain	contain	VERB
ap-7699	232	4	precisely	precisely	ADV
ap-7699	232	5	one	one	NUM
ap-7699	232	6	power	power	NOUN
ap-7699	232	7	of	of	ADP
ap-7699	232	8	the	the	DET
ap-7699	232	9	covariant	covariant	PROPN
ap-7699	232	10	box	box	NOUN
ap-7699	232	11	operator	operator	NOUN
ap-7699	232	12	□	□	PUNCT
ap-7699	232	13	(	(	PUNCT
ap-7699	232	14	which	which	PRON
ap-7699	232	15	is	be	AUX
ap-7699	232	16	constructed	construct	VERB
ap-7699	232	17	using	use	VERB
ap-7699	232	18	the	the	DET
ap-7699	232	19	gr	gr	ADJ
ap-7699	232	20	-	-	PUNCT
ap-7699	232	21	covariant	covariant	NOUN
ap-7699	232	22	derivative	derivative	ADJ
ap-7699	232	23	∇µ	∇µ	NOUN
ap-7699	232	24	)	)	PUNCT
ap-7699	232	25	.	.	PUNCT
ap-7699	233	1	these	these	DET
ap-7699	233	2	two	two	NUM
ap-7699	233	3	terms	term	NOUN
ap-7699	233	4	exhaust	exhaust	VERB
ap-7699	233	5	all	all	DET
ap-7699	233	6	other	other	ADJ
ap-7699	233	7	possibilities	possibility	NOUN
ap-7699	233	8	since	since	SCONJ
ap-7699	233	9	other	other	ADJ
ap-7699	233	10	terms	term	NOUN
ap-7699	233	11	which	which	PRON
ap-7699	233	12	are	be	AUX
ap-7699	233	13	quadratic	quadratic	ADJ
ap-7699	233	14	and	and	CCONJ
ap-7699	233	15	contain	contain	VERB
ap-7699	233	16	two	two	NUM
ap-7699	233	17	covariant	covariant	ADJ
ap-7699	233	18	derivatives	derivative	NOUN
ap-7699	233	19	can	can	AUX
ap-7699	233	20	be	be	AUX
ap-7699	233	21	reduced	reduce	VERB
ap-7699	233	22	to	to	ADP
ap-7699	233	23	the	the	DET
ap-7699	233	24	two	two	NUM
ap-7699	233	25	above	above	ADP
ap-7699	233	26	exploiting	exploit	VERB
ap-7699	233	27	various	various	ADJ
ap-7699	233	28	symmetry	symmetry	NOUN
ap-7699	233	29	properties	property	NOUN
ap-7699	233	30	of	of	ADP
ap-7699	233	31	the	the	DET
ap-7699	233	32	curvature	curvature	NOUN
ap-7699	233	33	riemann	riemann	PROPN
ap-7699	233	34	tensor	tensor	NOUN
ap-7699	233	35	as	as	ADV
ap-7699	233	36	well	well	ADV
ap-7699	233	37	as	as	ADP
ap-7699	233	38	cyclicity	cyclicity	NOUN
ap-7699	233	39	and	and	CCONJ
ap-7699	233	40	bianchi	bianchi	NOUN
ap-7699	233	41	identities	identity	NOUN
ap-7699	233	42	.	.	PUNCT
ap-7699	234	1	moreover	moreover	ADV
ap-7699	234	2	,	,	PUNCT
ap-7699	234	3	the	the	DET
ap-7699	234	4	basis	basis	NOUN
ap-7699	234	5	with	with	ADP
ap-7699	234	6	weyl	weyl	VERB
ap-7699	234	7	tensors	tensor	NOUN
ap-7699	234	8	and	and	CCONJ
ap-7699	234	9	ricci	ricci	PROPN
ap-7699	234	10	scalars	scalars	PROPN
ap-7699	234	11	is	be	AUX
ap-7699	234	12	the	the	DET
ap-7699	234	13	most	most	ADV
ap-7699	234	14	convenient	convenient	ADJ
ap-7699	234	15	when	when	SCONJ
ap-7699	234	16	one	one	PRON
ap-7699	234	17	wants	want	VERB
ap-7699	234	18	to	to	PART
ap-7699	234	19	study	study	VERB
ap-7699	234	20	the	the	DET
ap-7699	234	21	form	form	NOUN
ap-7699	234	22	of	of	ADP
ap-7699	234	23	the	the	DET
ap-7699	234	24	propagator	propagator	NOUN
ap-7699	234	25	of	of	ADP
ap-7699	234	26	graviton	graviton	NOUN
ap-7699	234	27	around	around	ADP
ap-7699	234	28	flat	flat	ADJ
ap-7699	234	29	spacetime	spacetime	NOUN
ap-7699	234	30	.	.	PUNCT
ap-7699	235	1	other	other	ADJ
ap-7699	235	2	bases	basis	NOUN
ap-7699	235	3	are	be	AUX
ap-7699	235	4	possible	possible	ADJ
ap-7699	235	5	as	as	ADV
ap-7699	235	6	well	well	ADV
ap-7699	236	1	but	but	CCONJ
ap-7699	236	2	then	then	ADV
ap-7699	236	3	they	they	PRON
ap-7699	236	4	distort	distort	VERB
ap-7699	236	5	and	and	CCONJ
ap-7699	236	6	entangle	entangle	VERB
ap-7699	236	7	various	various	ADJ
ap-7699	236	8	contributions	contribution	NOUN
ap-7699	236	9	of	of	ADP
ap-7699	236	10	various	various	ADJ
ap-7699	236	11	terms	term	NOUN
ap-7699	236	12	to	to	ADP
ap-7699	236	13	these	these	DET
ap-7699	236	14	propagators	propagator	NOUN
ap-7699	236	15	.	.	PUNCT
ap-7699	237	1	we	we	PRON
ap-7699	237	2	also	also	ADV
ap-7699	237	3	remark	remark	VERB
ap-7699	237	4	that	that	SCONJ
ap-7699	237	5	the	the	DET
ap-7699	237	6	addition	addition	NOUN
ap-7699	237	7	of	of	ADP
ap-7699	237	8	the	the	DET
ap-7699	237	9	gauss	gauss	ADJ
ap-7699	237	10	-	-	PUNCT
ap-7699	237	11	bonnet	bonnet	NOUN
ap-7699	237	12	term	term	NOUN
ap-7699	237	13	is	be	AUX
ap-7699	237	14	possible	possible	ADJ
ap-7699	237	15	here	here	ADV
ap-7699	237	16	(	(	PUNCT
ap-7699	237	17	but	but	CCONJ
ap-7699	237	18	it	it	PRON
ap-7699	237	19	is	be	AUX
ap-7699	237	20	a	a	DET
ap-7699	237	21	total	total	ADJ
ap-7699	237	22	derivative	derivative	NOUN
ap-7699	237	23	in	in	ADP
ap-7699	237	24	d	d	PROPN
ap-7699	237	25	=	=	SYM
ap-7699	237	26	4	4	NUM
ap-7699	237	27	)	)	PUNCT
ap-7699	237	28	;	;	PUNCT
ap-7699	237	29	one	one	PRON
ap-7699	237	30	could	could	AUX
ap-7699	237	31	also	also	ADV
ap-7699	237	32	add	add	VERB
ap-7699	237	33	a	a	DET
ap-7699	237	34	generalized	generalized	ADJ
ap-7699	237	35	gauss	gauss	ADJ
ap-7699	237	36	-	-	PUNCT
ap-7699	237	37	bonnet	bonnet	NOUN
ap-7699	237	38	term	term	NOUN
ap-7699	237	39	,	,	PUNCT
ap-7699	237	40	which	which	PRON
ap-7699	237	41	is	be	AUX
ap-7699	237	42	an	an	DET
ap-7699	237	43	analogue	analogue	NOUN
ap-7699	237	44	of	of	ADP
ap-7699	237	45	the	the	DET
ap-7699	237	46	formula	formula	NOUN
ap-7699	237	47	in	in	ADP
ap-7699	237	48	(	(	PUNCT
ap-7699	237	49	8)	8)	NUM
ap-7699	237	50	,	,	PUNCT
ap-7699	237	51	where	where	SCONJ
ap-7699	237	52	the	the	DET
ap-7699	237	53	gr	gr	NOUN
ap-7699	237	54	-	-	PUNCT
ap-7699	237	55	covariant	covariant	NOUN
ap-7699	237	56	box	box	NOUN
ap-7699	237	57	operator	operator	NOUN
ap-7699	237	58	in	in	ADP
ap-7699	237	59	the	the	DET
ap-7699	237	60	first	first	ADJ
ap-7699	237	61	power	power	NOUN
ap-7699	237	62	is	be	AUX
ap-7699	237	63	inserted	insert	VERB
ap-7699	237	64	in	in	ADP
ap-7699	237	65	the	the	DET
ap-7699	237	66	middle	middle	NOUN
ap-7699	237	67	of	of	ADP
ap-7699	237	68	each	each	PRON
ap-7699	237	69	of	of	ADP
ap-7699	237	70	the	the	DET
ap-7699	237	71	tensorial	tensorial	ADJ
ap-7699	237	72	terms	term	NOUN
ap-7699	237	73	there	there	ADV
ap-7699	237	74	,	,	PUNCT
ap-7699	237	75	which	which	PRON
ap-7699	237	76	are	be	AUX
ap-7699	237	77	quadratic	quadratic	ADJ
ap-7699	237	78	in	in	ADP
ap-7699	237	79	curvatures	curvature	NOUN
ap-7699	237	80	.	.	PUNCT
ap-7699	238	1	eventually	eventually	ADV
ap-7699	238	2	,	,	PUNCT
ap-7699	238	3	there	there	PRON
ap-7699	238	4	is	be	VERB
ap-7699	238	5	no	no	DET
ap-7699	238	6	contribution	contribution	NOUN
ap-7699	238	7	of	of	ADP
ap-7699	238	8	the	the	DET
ap-7699	238	9	generalized	generalized	ADJ
ap-7699	238	10	gauss	gauss	ADJ
ap-7699	238	11	-	-	PUNCT
ap-7699	238	12	bonnet	bonnet	NOUN
ap-7699	238	13	term	term	NOUN
ap-7699	238	14	in	in	ADP
ap-7699	238	15	any	any	DET
ap-7699	238	16	dimension	dimension	NOUN
ap-7699	238	17	to	to	ADP
ap-7699	238	18	the	the	DET
ap-7699	238	19	flat	flat	ADJ
ap-7699	238	20	spacetime	spacetime	NOUN
ap-7699	238	21	graviton	graviton	NOUN
ap-7699	238	22	propagator	propagator	NOUN
ap-7699	238	23	,	,	PUNCT
ap-7699	238	24	so	so	SCONJ
ap-7699	238	25	for	for	ADP
ap-7699	238	26	this	this	DET
ap-7699	238	27	purpose	purpose	NOUN
ap-7699	238	28	we	we	PRON
ap-7699	238	29	do	do	AUX
ap-7699	238	30	not	not	PART
ap-7699	238	31	need	need	VERB
ap-7699	238	32	to	to	PART
ap-7699	238	33	add	add	VERB
ap-7699	238	34	such	such	ADJ
ap-7699	238	35	term	term	NOUN
ap-7699	238	36	to	to	ADP
ap-7699	238	37	the	the	DET
ap-7699	238	38	lagrangian	lagrangian	NOUN
ap-7699	238	39	as	as	SCONJ
ap-7699	238	40	it	it	PRON
ap-7699	238	41	was	be	AUX
ap-7699	238	42	written	write	VERB
ap-7699	238	43	in	in	ADP
ap-7699	238	44	(	(	PUNCT
ap-7699	238	45	6	6	NUM
ap-7699	238	46	)	)	PUNCT
ap-7699	238	47	.	.	PUNCT
ap-7699	239	1	in	in	ADP
ap-7699	239	2	what	what	PRON
ap-7699	239	3	follows	follow	VERB
ap-7699	239	4	we	we	PRON
ap-7699	239	5	employ	employ	VERB
ap-7699	239	6	the	the	DET
ap-7699	239	7	pseudo	pseudo	NOUN
ap-7699	239	8	-	-	ADJ
ap-7699	239	9	euclidean	euclidean	ADJ
ap-7699	239	10	notations	notation	NOUN
ap-7699	239	11	and	and	CCONJ
ap-7699	239	12	by	by	ADP
ap-7699	239	13	√	√	PUNCT
ap-7699	239	14	|g|	|g|	PROPN
ap-7699	239	15	we	we	PRON
ap-7699	239	16	will	will	AUX
ap-7699	239	17	denote	denote	VERB
ap-7699	239	18	the	the	DET
ap-7699	239	19	square	square	ADJ
ap-7699	239	20	root	root	NOUN
ap-7699	239	21	of	of	ADP
ap-7699	239	22	the	the	DET
ap-7699	239	23	absolute	absolute	ADJ
ap-7699	239	24	value	value	NOUN
ap-7699	239	25	of	of	ADP
ap-7699	239	26	the	the	DET
ap-7699	239	27	metric	metric	ADJ
ap-7699	239	28	determinant	determinant	ADJ
ap-7699	239	29	(	(	PUNCT
ap-7699	239	30	always	always	ADV
ap-7699	239	31	real	real	ADJ
ap-7699	239	32	in	in	ADP
ap-7699	239	33	our	our	PRON
ap-7699	239	34	conventions	convention	NOUN
ap-7699	239	35	)	)	PUNCT
ap-7699	239	36	.	.	PUNCT
ap-7699	240	1	the	the	DET
ap-7699	240	2	two	two	NUM
ap-7699	240	3	most	most	ADV
ap-7699	240	4	subleading	subleading	ADJ
ap-7699	240	5	terms	term	NOUN
ap-7699	240	6	in	in	ADP
ap-7699	240	7	the	the	DET
ap-7699	240	8	lagrangian	lagrangian	ADJ
ap-7699	240	9	(	(	PUNCT
ap-7699	240	10	6	6	NUM
ap-7699	240	11	)	)	PUNCT
ap-7699	240	12	are	be	AUX
ap-7699	240	13	with	with	ADP
ap-7699	240	14	couplings	coupling	NOUN
ap-7699	240	15	ωκ	ωκ	VERB
ap-7699	240	16	and	and	CCONJ
ap-7699	240	17	ωλ	ωλ	VERB
ap-7699	240	18	respectively	respectively	ADV
ap-7699	240	19	.	.	PUNCT
ap-7699	241	1	the	the	DET
ap-7699	241	2	first	first	ADJ
ap-7699	241	3	one	one	NOUN
ap-7699	241	4	is	be	AUX
ap-7699	241	5	related	relate	VERB
ap-7699	241	6	to	to	ADP
ap-7699	241	7	the	the	DET
ap-7699	241	8	newton	newton	PROPN
ap-7699	241	9	gravitational	gravitational	PROPN
ap-7699	241	10	constant	constant	PROPN
ap-7699	241	11	gn	gn	PROPN
ap-7699	241	12	,	,	PUNCT
ap-7699	241	13	while	while	SCONJ
ap-7699	241	14	the	the	DET
ap-7699	241	15	last	last	ADJ
ap-7699	241	16	one	one	NOUN
ap-7699	241	17	ωλ	ωλ	VERB
ap-7699	241	18	to	to	ADP
ap-7699	241	19	the	the	DET
ap-7699	241	20	value	value	NOUN
ap-7699	241	21	of	of	ADP
ap-7699	241	22	the	the	DET
ap-7699	241	23	physical	physical	ADJ
ap-7699	241	24	cosmological	cosmological	ADJ
ap-7699	241	25	constant	constant	ADJ
ap-7699	241	26	124	124	NUM
ap-7699	241	27	vol	vol	NOUN
ap-7699	241	28	.	.	PUNCT
ap-7699	242	1	62	62	NUM
ap-7699	242	2	no	no	INTJ
ap-7699	242	3	.	.	PUNCT
ap-7699	243	1	1/2022	1/2022	NUM
ap-7699	243	2	beta	beta	NOUN
ap-7699	243	3	functions	function	NOUN
ap-7699	243	4	in	in	ADP
ap-7699	243	5	six	six	NUM
ap-7699	243	6	-	-	PUNCT
ap-7699	243	7	derivative	derivative	ADJ
ap-7699	243	8	quantum	quantum	NOUN
ap-7699	243	9	gravity	gravity	NOUN
ap-7699	243	10	parameter	parameter	NOUN
ap-7699	243	11	.	.	PUNCT
ap-7699	244	1	the	the	DET
ap-7699	244	2	qg	qg	PROPN
ap-7699	244	3	model	model	NOUN
ap-7699	244	4	with	with	ADP
ap-7699	244	5	the	the	DET
ap-7699	244	6	lagrangian	lagrangian	ADJ
ap-7699	244	7	(	(	PUNCT
ap-7699	244	8	6	6	NUM
ap-7699	244	9	)	)	PUNCT
ap-7699	244	10	is	be	AUX
ap-7699	244	11	definitely	definitely	ADV
ap-7699	244	12	the	the	DET
ap-7699	244	13	simplest	simple	ADJ
ap-7699	244	14	one	one	NOUN
ap-7699	244	15	that	that	PRON
ap-7699	244	16	describes	describe	VERB
ap-7699	244	17	the	the	DET
ap-7699	244	18	most	most	ADV
ap-7699	244	19	general	general	ADJ
ap-7699	244	20	form	form	NOUN
ap-7699	244	21	of	of	ADP
ap-7699	244	22	the	the	DET
ap-7699	244	23	graviton	graviton	NOUN
ap-7699	244	24	propagator	propagator	NOUN
ap-7699	244	25	around	around	ADP
ap-7699	244	26	flat	flat	ADJ
ap-7699	244	27	spacetime	spacetime	NOUN
ap-7699	244	28	,	,	PUNCT
ap-7699	244	29	in	in	ADP
ap-7699	244	30	four	four	NUM
ap-7699	244	31	spacetime	spacetime	NOUN
ap-7699	244	32	dimensions	dimension	NOUN
ap-7699	244	33	and	and	CCONJ
ap-7699	244	34	for	for	ADP
ap-7699	244	35	the	the	DET
ap-7699	244	36	theory	theory	NOUN
ap-7699	244	37	with	with	ADP
ap-7699	244	38	six	six	NUM
ap-7699	244	39	derivatives	derivative	NOUN
ap-7699	244	40	.	.	PUNCT
ap-7699	245	1	we	we	PRON
ap-7699	245	2	would	would	AUX
ap-7699	245	3	like	like	VERB
ap-7699	245	4	to	to	PART
ap-7699	245	5	already	already	ADV
ap-7699	245	6	emphasize	emphasize	VERB
ap-7699	245	7	here	here	ADV
ap-7699	245	8	,	,	PUNCT
ap-7699	245	9	that	that	SCONJ
ap-7699	245	10	there	there	PRON
ap-7699	245	11	are	be	VERB
ap-7699	245	12	two	two	NUM
ap-7699	245	13	remarkable	remarkable	ADJ
ap-7699	245	14	special	special	ADJ
ap-7699	245	15	limiting	limiting	NOUN
ap-7699	245	16	cases	case	NOUN
ap-7699	245	17	in	in	ADP
ap-7699	245	18	the	the	DET
ap-7699	245	19	theory	theory	NOUN
ap-7699	245	20	(	(	PUNCT
ap-7699	245	21	6	6	NUM
ap-7699	245	22	)	)	PUNCT
ap-7699	245	23	.	.	PUNCT
ap-7699	246	1	in	in	ADP
ap-7699	246	2	order	order	NOUN
ap-7699	246	3	to	to	PART
ap-7699	246	4	have	have	AUX
ap-7699	246	5	a	a	DET
ap-7699	246	6	non	non	ADJ
ap-7699	246	7	-	-	ADJ
ap-7699	246	8	degenerate	degenerate	ADJ
ap-7699	246	9	classical	classical	ADJ
ap-7699	246	10	action	action	NOUN
ap-7699	246	11	and	and	CCONJ
ap-7699	246	12	the	the	DET
ap-7699	246	13	well	well	ADV
ap-7699	246	14	-	-	PUNCT
ap-7699	246	15	defined	define	VERB
ap-7699	246	16	hessian	hessian	ADJ
ap-7699	246	17	operator	operator	NOUN
ap-7699	246	18	of	of	ADP
ap-7699	246	19	the	the	DET
ap-7699	246	20	second	second	ADJ
ap-7699	246	21	variational	variational	ADJ
ap-7699	246	22	derivative	derivative	NOUN
ap-7699	246	23	,	,	PUNCT
ap-7699	246	24	one	one	PRON
ap-7699	246	25	needs	need	VERB
ap-7699	246	26	to	to	PART
ap-7699	246	27	require	require	VERB
ap-7699	246	28	that	that	SCONJ
ap-7699	246	29	both	both	DET
ap-7699	246	30	coefficients	coefficient	NOUN
ap-7699	246	31	of	of	ADP
ap-7699	246	32	the	the	DET
ap-7699	246	33	uv	uv	NOUN
ap-7699	246	34	-	-	PUNCT
ap-7699	246	35	leading	lead	VERB
ap-7699	246	36	terms	term	NOUN
ap-7699	246	37	,	,	PUNCT
ap-7699	246	38	namely	namely	ADV
ap-7699	246	39	ωc	ωc	ADP
ap-7699	246	40	and	and	CCONJ
ap-7699	246	41	ωr	ωr	ADJ
ap-7699	246	42	,	,	PUNCT
ap-7699	246	43	should	should	AUX
ap-7699	246	44	be	be	AUX
ap-7699	246	45	non	non	ADJ
ap-7699	246	46	-	-	ADJ
ap-7699	246	47	zero	zero	NUM
ap-7699	246	48	.	.	PUNCT
ap-7699	247	1	only	only	ADV
ap-7699	247	2	in	in	ADP
ap-7699	247	3	this	this	DET
ap-7699	247	4	case	case	NOUN
ap-7699	247	5	the	the	DET
ap-7699	247	6	theory	theory	NOUN
ap-7699	247	7	is	be	AUX
ap-7699	247	8	renormalizable	renormalizable	ADJ
ap-7699	247	9	,	,	PUNCT
ap-7699	247	10	moreover	moreover	ADV
ap-7699	247	11	only	only	ADV
ap-7699	247	12	in	in	ADP
ap-7699	247	13	this	this	DET
ap-7699	247	14	case	case	NOUN
ap-7699	247	15	it	it	PRON
ap-7699	247	16	also	also	ADV
ap-7699	247	17	has	have	VERB
ap-7699	247	18	nice	nice	ADJ
ap-7699	247	19	additional	additional	ADJ
ap-7699	247	20	features	feature	NOUN
ap-7699	247	21	like	like	ADP
ap-7699	247	22	super	super	NOUN
ap-7699	247	23	-	-	NOUN
ap-7699	247	24	renormalizability	renormalizability	NOUN
ap-7699	247	25	and	and	CCONJ
ap-7699	247	26	that	that	SCONJ
ap-7699	247	27	the	the	DET
ap-7699	247	28	fourth	fourth	ADJ
ap-7699	247	29	and	and	CCONJ
ap-7699	247	30	higher	high	ADJ
ap-7699	247	31	perturbative	perturbative	ADJ
ap-7699	247	32	loop	loop	NOUN
ap-7699	247	33	contributions	contribution	NOUN
ap-7699	247	34	are	be	AUX
ap-7699	247	35	completely	completely	ADV
ap-7699	247	36	finite	finite	ADJ
ap-7699	247	37	.	.	PUNCT
ap-7699	248	1	we	we	PRON
ap-7699	248	2	want	want	VERB
ap-7699	248	3	to	to	PART
ap-7699	248	4	say	say	VERB
ap-7699	248	5	that	that	SCONJ
ap-7699	248	6	the	the	DET
ap-7699	248	7	quantum	quantum	ADJ
ap-7699	248	8	calculations	calculation	NOUN
ap-7699	248	9	reported	report	VERB
ap-7699	248	10	in	in	ADP
ap-7699	248	11	the	the	DET
ap-7699	248	12	next	next	ADJ
ap-7699	248	13	section	section	NOUN
ap-7699	248	14	correspond	correspond	VERB
ap-7699	248	15	only	only	ADV
ap-7699	248	16	to	to	ADP
ap-7699	248	17	this	this	DET
ap-7699	248	18	kind	kind	NOUN
ap-7699	248	19	of	of	ADP
ap-7699	248	20	well	well	ADV
ap-7699	248	21	balanced	balanced	ADJ
ap-7699	248	22	model	model	NOUN
ap-7699	248	23	with	with	ADP
ap-7699	248	24	both	both	DET
ap-7699	248	25	weyl	weyl	VERB
ap-7699	248	26	tensor	tensor	NOUN
ap-7699	248	27	and	and	CCONJ
ap-7699	248	28	ricci	ricci	PROPN
ap-7699	248	29	scalar	scalar	ADJ
ap-7699	248	30	squared	square	VERB
ap-7699	248	31	terms	term	NOUN
ap-7699	248	32	and	and	CCONJ
ap-7699	248	33	one	one	NUM
ap-7699	248	34	power	power	NOUN
ap-7699	248	35	of	of	ADP
ap-7699	248	36	the	the	DET
ap-7699	248	37	gr	gr	PROPN
ap-7699	248	38	-	-	PUNCT
ap-7699	248	39	covariant	covariant	NOUN
ap-7699	248	40	box	box	NOUN
ap-7699	248	41	operator	operator	NOUN
ap-7699	248	42	inserted	insert	VERB
ap-7699	248	43	in	in	ADP
ap-7699	248	44	the	the	DET
ap-7699	248	45	middle	middle	NOUN
ap-7699	248	46	.	.	PUNCT
ap-7699	249	1	(	(	PUNCT
ap-7699	249	2	this	this	PRON
ap-7699	249	3	is	be	AUX
ap-7699	249	4	in	in	ADP
ap-7699	249	5	order	order	NOUN
ap-7699	249	6	to	to	PART
ap-7699	249	7	have	have	AUX
ap-7699	249	8	a	a	DET
ap-7699	249	9	six	six	NUM
ap-7699	249	10	-	-	PUNCT
ap-7699	249	11	derivative	derivative	ADJ
ap-7699	249	12	action	action	NOUN
ap-7699	249	13	,	,	PUNCT
ap-7699	249	14	but	but	CCONJ
ap-7699	249	15	also	also	ADV
ap-7699	249	16	with	with	ADP
ap-7699	249	17	terms	term	NOUN
ap-7699	249	18	that	that	PRON
ap-7699	249	19	are	be	AUX
ap-7699	249	20	precisely	precisely	ADV
ap-7699	249	21	quadratic	quadratic	ADJ
ap-7699	249	22	in	in	ADP
ap-7699	249	23	gravitational	gravitational	ADJ
ap-7699	249	24	curvatures	curvature	NOUN
ap-7699	249	25	.	.	PUNCT
ap-7699	249	26	)	)	PUNCT
ap-7699	250	1	in	in	ADP
ap-7699	250	2	principle	principle	NOUN
ap-7699	250	3	,	,	PUNCT
ap-7699	250	4	there	there	PRON
ap-7699	250	5	exist	exist	VERB
ap-7699	250	6	also	also	ADV
ap-7699	250	7	models	model	NOUN
ap-7699	250	8	with	with	ADP
ap-7699	250	9	non	non	ADJ
ap-7699	250	10	-	-	ADJ
ap-7699	250	11	balanced	balanced	ADJ
ap-7699	250	12	situations	situation	NOUN
ap-7699	250	13	and	and	CCONJ
ap-7699	250	14	dichotomy	dichotomy	NOUN
ap-7699	250	15	between	between	ADP
ap-7699	250	16	different	different	ADJ
ap-7699	250	17	sectors	sector	NOUN
ap-7699	250	18	of	of	ADP
ap-7699	250	19	fluctuations	fluctuation	NOUN
ap-7699	250	20	.	.	PUNCT
ap-7699	251	1	for	for	ADP
ap-7699	251	2	example	example	NOUN
ap-7699	251	3	,	,	PUNCT
ap-7699	251	4	in	in	ADP
ap-7699	251	5	the	the	DET
ap-7699	251	6	special	special	ADJ
ap-7699	251	7	case	case	NOUN
ap-7699	251	8	of	of	ADP
ap-7699	251	9	ωc	ωc	PROPN
ap-7699	251	10	=	=	SYM
ap-7699	251	11	0	0	NUM
ap-7699	251	12	,	,	PUNCT
ap-7699	251	13	θc	θc	NOUN
ap-7699	251	14	=	=	NOUN
ap-7699	251	15	̸	̸	NUM
ap-7699	251	16	0	0	PUNCT
ap-7699	251	17	and	and	CCONJ
ap-7699	251	18	ωr	ωr	VERB
ap-7699	251	19	̸=	̸=	PROPN
ap-7699	251	20	0	0	NUM
ap-7699	251	21	,	,	PUNCT
ap-7699	251	22	the	the	DET
ap-7699	251	23	theory	theory	NOUN
ap-7699	251	24	has	have	VERB
ap-7699	251	25	the	the	DET
ap-7699	251	26	propagating	propagate	VERB
ap-7699	251	27	spin	spin	VERB
ap-7699	251	28	-	-	PUNCT
ap-7699	251	29	two	two	NUM
ap-7699	251	30	mode	mode	NOUN
ap-7699	251	31	with	with	ADP
ap-7699	251	32	four	four	NUM
ap-7699	251	33	derivatives	derivative	NOUN
ap-7699	251	34	and	and	CCONJ
ap-7699	251	35	the	the	DET
ap-7699	251	36	propagating	propagate	VERB
ap-7699	251	37	spin	spin	NOUN
ap-7699	251	38	-	-	PUNCT
ap-7699	251	39	zero	zero	NUM
ap-7699	251	40	mode	mode	NOUN
ap-7699	251	41	with	with	ADP
ap-7699	251	42	six	six	NUM
ap-7699	251	43	derivatives	derivative	NOUN
ap-7699	251	44	in	in	ADP
ap-7699	251	45	the	the	DET
ap-7699	251	46	perturbative	perturbative	ADJ
ap-7699	251	47	spectrum	spectrum	NOUN
ap-7699	251	48	around	around	ADP
ap-7699	251	49	flat	flat	ADJ
ap-7699	251	50	spacetime	spacetime	NOUN
ap-7699	251	51	.	.	PUNCT
ap-7699	252	1	this	this	PRON
ap-7699	252	2	has	have	VERB
ap-7699	252	3	to	to	PART
ap-7699	252	4	be	be	AUX
ap-7699	252	5	contrasted	contrast	VERB
ap-7699	252	6	with	with	ADP
ap-7699	252	7	the	the	DET
ap-7699	252	8	fact	fact	NOUN
ap-7699	252	9	that	that	SCONJ
ap-7699	252	10	interaction	interaction	NOUN
ap-7699	252	11	vertices	vertex	NOUN
ap-7699	252	12	have	have	AUX
ap-7699	252	13	always	always	ADV
ap-7699	252	14	six	six	NUM
ap-7699	252	15	derivatives	derivative	NOUN
ap-7699	252	16	in	in	ADP
ap-7699	252	17	both	both	CCONJ
ap-7699	252	18	special	special	ADJ
ap-7699	252	19	and	and	CCONJ
ap-7699	252	20	also	also	ADV
ap-7699	252	21	in	in	ADP
ap-7699	252	22	generic	generic	ADJ
ap-7699	252	23	theories	theory	NOUN
ap-7699	252	24	(	(	PUNCT
ap-7699	252	25	with	with	ADP
ap-7699	252	26	ωc	ωc	X
ap-7699	252	27	=	=	SYM
ap-7699	252	28	̸	̸	NUM
ap-7699	252	29	0	0	PUNCT
ap-7699	253	1	and	and	CCONJ
ap-7699	253	2	ωr	ωr	VERB
ap-7699	253	3	̸=	̸=	PROPN
ap-7699	253	4	0	0	NUM
ap-7699	253	5	)	)	PUNCT
ap-7699	253	6	.	.	PUNCT
ap-7699	254	1	for	for	ADP
ap-7699	254	2	another	another	DET
ap-7699	254	3	special	special	ADJ
ap-7699	254	4	version	version	NOUN
ap-7699	254	5	of	of	ADP
ap-7699	254	6	the	the	DET
ap-7699	254	7	model	model	NOUN
ap-7699	254	8	,	,	PUNCT
ap-7699	254	9	with	with	ADP
ap-7699	254	10	ωc	ωc	ADP
ap-7699	254	11	̸=	̸=	PROPN
ap-7699	254	12	0	0	NUM
ap-7699	254	13	and	and	CCONJ
ap-7699	254	14	ωr	ωr	VERB
ap-7699	254	15	=	=	SYM
ap-7699	254	16	0	0	PROPN
ap-7699	254	17	,	,	PUNCT
ap-7699	254	18	the	the	DET
ap-7699	254	19	situation	situation	NOUN
ap-7699	254	20	is	be	AUX
ap-7699	254	21	quite	quite	ADV
ap-7699	254	22	opposite	opposite	ADJ
ap-7699	254	23	regarding	regard	VERB
ap-7699	254	24	the	the	DET
ap-7699	254	25	spectrum	spectrum	NOUN
ap-7699	254	26	,	,	PUNCT
ap-7699	254	27	but	but	CCONJ
ap-7699	254	28	the	the	DET
ap-7699	254	29	negative	negative	ADJ
ap-7699	254	30	conclusions	conclusion	NOUN
ap-7699	254	31	are	be	AUX
ap-7699	254	32	the	the	DET
ap-7699	254	33	same	same	ADJ
ap-7699	254	34	.	.	PUNCT
ap-7699	255	1	according	accord	VERB
ap-7699	255	2	to	to	ADP
ap-7699	255	3	the	the	DET
ap-7699	255	4	power	power	NOUN
ap-7699	255	5	counting	counting	NOUN
ap-7699	255	6	arguments	argument	NOUN
ap-7699	255	7	from	from	ADP
ap-7699	255	8	[	[	X
ap-7699	255	9	6	6	NUM
ap-7699	255	10	,	,	PUNCT
ap-7699	255	11	25	25	NUM
ap-7699	255	12	]	]	PUNCT
ap-7699	255	13	and	and	CCONJ
ap-7699	255	14	also	also	ADV
ap-7699	255	15	from	from	ADP
ap-7699	255	16	(	(	PUNCT
ap-7699	255	17	3	3	NUM
ap-7699	255	18	)	)	PUNCT
ap-7699	255	19	in	in	ADP
ap-7699	255	20	both	both	DET
ap-7699	255	21	special	special	ADJ
ap-7699	255	22	cases	case	NOUN
ap-7699	255	23	the	the	DET
ap-7699	255	24	theories	theory	NOUN
ap-7699	255	25	are	be	AUX
ap-7699	255	26	unfortunately	unfortunately	ADV
ap-7699	255	27	nonrenormalizable	nonrenormalizable	ADJ
ap-7699	255	28	.	.	PUNCT
ap-7699	256	1	(	(	PUNCT
ap-7699	256	2	we	we	PRON
ap-7699	256	3	also	also	ADV
ap-7699	256	4	discuss	discuss	VERB
ap-7699	256	5	in	in	ADP
ap-7699	256	6	greater	great	ADJ
ap-7699	256	7	details	detail	NOUN
ap-7699	256	8	the	the	DET
ap-7699	256	9	power	power	NOUN
ap-7699	256	10	counting	counting	NOUN
ap-7699	256	11	for	for	ADP
ap-7699	256	12	these	these	DET
ap-7699	256	13	two	two	NUM
ap-7699	256	14	special	special	ADJ
ap-7699	256	15	limiting	limiting	NOUN
ap-7699	256	16	models	model	NOUN
ap-7699	256	17	in	in	ADP
ap-7699	256	18	section	section	NOUN
ap-7699	256	19	4.4	4.4	NUM
ap-7699	256	20	.	.	PUNCT
ap-7699	256	21	)	)	PUNCT
ap-7699	257	1	hence	hence	ADV
ap-7699	257	2	one	one	PRON
ap-7699	257	3	should	should	AUX
ap-7699	257	4	be	be	AUX
ap-7699	257	5	very	very	ADV
ap-7699	257	6	careful	careful	ADJ
ap-7699	257	7	in	in	ADP
ap-7699	257	8	performing	perform	VERB
ap-7699	257	9	computations	computation	NOUN
ap-7699	257	10	in	in	ADP
ap-7699	257	11	such	such	ADJ
ap-7699	257	12	cases	case	NOUN
ap-7699	257	13	and	and	CCONJ
ap-7699	257	14	in	in	ADP
ap-7699	257	15	trusting	trust	VERB
ap-7699	257	16	the	the	DET
ap-7699	257	17	results	result	NOUN
ap-7699	257	18	of	of	ADP
ap-7699	257	19	limits	limit	NOUN
ap-7699	257	20	there	there	ADV
ap-7699	257	21	.	.	PUNCT
ap-7699	258	1	these	these	DET
ap-7699	258	2	cases	case	NOUN
ap-7699	258	3	will	will	AUX
ap-7699	258	4	be	be	AUX
ap-7699	258	5	analyzed	analyze	VERB
ap-7699	258	6	in	in	ADP
ap-7699	258	7	more	more	ADJ
ap-7699	258	8	details	detail	NOUN
ap-7699	258	9	in	in	ADP
ap-7699	258	10	the	the	DET
ap-7699	258	11	next	next	ADJ
ap-7699	258	12	sections	section	NOUN
ap-7699	258	13	as	as	SCONJ
ap-7699	258	14	it	it	PRON
ap-7699	258	15	will	will	AUX
ap-7699	258	16	be	be	AUX
ap-7699	258	17	revealed	reveal	VERB
ap-7699	258	18	that	that	SCONJ
ap-7699	258	19	they	they	PRON
ap-7699	258	20	are	be	AUX
ap-7699	258	21	crucial	crucial	ADJ
ap-7699	258	22	for	for	ADP
ap-7699	258	23	understanding	understand	VERB
ap-7699	258	24	the	the	DET
ap-7699	258	25	issue	issue	NOUN
ap-7699	258	26	of	of	ADP
ap-7699	258	27	the	the	DET
ap-7699	258	28	structure	structure	NOUN
ap-7699	258	29	of	of	ADP
ap-7699	258	30	perturbative	perturbative	ADJ
ap-7699	258	31	divergences	divergence	NOUN
ap-7699	258	32	both	both	CCONJ
ap-7699	258	33	in	in	ADP
ap-7699	258	34	the	the	DET
ap-7699	258	35	four	four	NUM
ap-7699	258	36	-	-	PUNCT
ap-7699	258	37	derivative	derivative	NOUN
ap-7699	258	38	as	as	ADV
ap-7699	258	39	well	well	ADV
ap-7699	258	40	as	as	ADP
ap-7699	258	41	also	also	ADV
ap-7699	258	42	in	in	ADP
ap-7699	258	43	six	six	NUM
ap-7699	258	44	-	-	PUNCT
ap-7699	258	45	derivative	derivative	ADJ
ap-7699	258	46	qg	qg	PROPN
ap-7699	258	47	models	model	NOUN
ap-7699	258	48	in	in	ADP
ap-7699	258	49	d	d	PROPN
ap-7699	258	50	=	=	SYM
ap-7699	258	51	4	4	NUM
ap-7699	258	52	.	.	PUNCT
ap-7699	259	1	the	the	DET
ap-7699	259	2	other	other	ADJ
ap-7699	259	3	consequences	consequence	NOUN
ap-7699	259	4	of	of	ADP
ap-7699	259	5	the	the	DET
ap-7699	259	6	formula	formula	NOUN
ap-7699	259	7	for	for	ADP
ap-7699	259	8	power	power	NOUN
ap-7699	259	9	counting	counting	NOUN
ap-7699	259	10	as	as	SCONJ
ap-7699	259	11	presented	present	VERB
ap-7699	259	12	in	in	ADP
ap-7699	259	13	(	(	PUNCT
ap-7699	259	14	4	4	NUM
ap-7699	259	15	)	)	PUNCT
ap-7699	259	16	is	be	AUX
ap-7699	259	17	that	that	SCONJ
ap-7699	259	18	the	the	DET
ap-7699	259	19	subleading	subleading	NOUN
ap-7699	259	20	in	in	ADP
ap-7699	259	21	the	the	DET
ap-7699	259	22	uv	uv	NOUN
ap-7699	259	23	terms	term	NOUN
ap-7699	259	24	of	of	ADP
ap-7699	259	25	the	the	DET
ap-7699	259	26	original	original	ADJ
ap-7699	259	27	action	action	NOUN
ap-7699	259	28	in	in	ADP
ap-7699	259	29	(	(	PUNCT
ap-7699	259	30	6	6	NUM
ap-7699	259	31	)	)	PUNCT
ap-7699	259	32	do	do	AUX
ap-7699	259	33	not	not	PART
ap-7699	259	34	at	at	ADV
ap-7699	259	35	all	all	ADV
ap-7699	259	36	contribute	contribute	VERB
ap-7699	259	37	to	to	ADP
ap-7699	259	38	the	the	DET
ap-7699	259	39	four	four	NUM
ap-7699	259	40	-	-	PUNCT
ap-7699	259	41	derivative	derivative	ADJ
ap-7699	259	42	terms	term	NOUN
ap-7699	259	43	leading	lead	VERB
ap-7699	259	44	in	in	ADP
ap-7699	259	45	the	the	DET
ap-7699	259	46	uv	uv	NOUN
ap-7699	259	47	regime	regime	NOUN
ap-7699	259	48	of	of	ADP
ap-7699	259	49	the	the	DET
ap-7699	259	50	divergences	divergence	NOUN
ap-7699	259	51	in	in	ADP
ap-7699	259	52	(	(	PUNCT
ap-7699	259	53	1	1	NUM
ap-7699	259	54	)	)	PUNCT
ap-7699	259	55	.	.	PUNCT
ap-7699	260	1	that	that	PRON
ap-7699	260	2	is	be	AUX
ap-7699	260	3	we	we	PRON
ap-7699	260	4	have	have	VERB
ap-7699	260	5	that	that	SCONJ
ap-7699	260	6	the	the	DET
ap-7699	260	7	coefficients	coefficient	NOUN
ap-7699	260	8	αc	αc	ADP
ap-7699	260	9	,	,	PUNCT
ap-7699	260	10	αr	αr	PROPN
ap-7699	260	11	and	and	CCONJ
ap-7699	260	12	αgb	αgb	PROPN
ap-7699	260	13	in	in	ADP
ap-7699	260	14	(	(	PUNCT
ap-7699	260	15	1	1	X
ap-7699	260	16	)	)	PUNCT
ap-7699	260	17	depend	depend	VERB
ap-7699	260	18	only	only	ADV
ap-7699	260	19	on	on	ADP
ap-7699	260	20	the	the	DET
ap-7699	260	21	ratio	ratio	NOUN
ap-7699	260	22	of	of	ADP
ap-7699	260	23	the	the	DET
ap-7699	260	24	coefficient	coefficient	NOUN
ap-7699	260	25	in	in	ADP
ap-7699	260	26	front	front	NOUN
ap-7699	260	27	of	of	ADP
ap-7699	260	28	the	the	DET
ap-7699	260	29	term	term	NOUN
ap-7699	260	30	with	with	ADP
ap-7699	260	31	weyl	weyl	VERB
ap-7699	260	32	tensors	tensor	NOUN
ap-7699	260	33	and	and	CCONJ
ap-7699	260	34	box	box	NOUN
ap-7699	260	35	inserted	insert	VERB
ap-7699	260	36	in	in	ADP
ap-7699	260	37	the	the	DET
ap-7699	260	38	middle	middle	NOUN
ap-7699	260	39	(	(	PUNCT
ap-7699	260	40	i.e.	i.e.	X
ap-7699	260	41	c	c	X
ap-7699	260	42	□	□	X
ap-7699	260	43	c	c	NOUN
ap-7699	260	44	)	)	PUNCT
ap-7699	260	45	to	to	ADP
ap-7699	260	46	the	the	DET
ap-7699	260	47	coefficient	coefficient	NOUN
ap-7699	260	48	in	in	ADP
ap-7699	260	49	front	front	NOUN
ap-7699	260	50	of	of	ADP
ap-7699	260	51	the	the	DET
ap-7699	260	52	corresponding	corresponding	ADJ
ap-7699	260	53	term	term	NOUN
ap-7699	260	54	with	with	ADP
ap-7699	260	55	two	two	NUM
ap-7699	260	56	ricci	ricci	PROPN
ap-7699	260	57	scalars	scalar	NOUN
ap-7699	260	58	(	(	PUNCT
ap-7699	260	59	i.e.	i.e.	X
ap-7699	260	60	r	r	NOUN
ap-7699	260	61	□	□	SYM
ap-7699	260	62	r	r	NOUN
ap-7699	260	63	)	)	PUNCT
ap-7699	260	64	,	,	PUNCT
ap-7699	260	65	so	so	ADV
ap-7699	260	66	only	only	ADV
ap-7699	260	67	on	on	ADP
ap-7699	260	68	the	the	DET
ap-7699	260	69	ratio	ratio	NOUN
ap-7699	260	70	ωc	ωc	PROPN
ap-7699	260	71	/	/	SYM
ap-7699	260	72	ωr	ωr	NOUN
ap-7699	260	73	also	also	ADV
ap-7699	260	74	to	to	PART
ap-7699	260	75	be	be	AUX
ap-7699	260	76	analyzed	analyze	VERB
ap-7699	260	77	later	later	ADV
ap-7699	260	78	at	at	ADP
ap-7699	260	79	length	length	NOUN
ap-7699	260	80	here	here	ADV
ap-7699	260	81	.	.	PUNCT
ap-7699	261	1	these	these	DET
ap-7699	261	2	coefficients	coefficient	NOUN
ap-7699	261	3	of	of	ADP
ap-7699	261	4	uv	uv	NOUN
ap-7699	261	5	divergences	divergence	NOUN
ap-7699	261	6	αc	αc	NOUN
ap-7699	261	7	,	,	PUNCT
ap-7699	261	8	αr	αr	PROPN
ap-7699	261	9	and	and	CCONJ
ap-7699	261	10	αgb	αgb	PROPN
ap-7699	261	11	do	do	AUX
ap-7699	261	12	not	not	PART
ap-7699	261	13	depend	depend	VERB
ap-7699	261	14	on	on	ADP
ap-7699	261	15	θc	θc	NOUN
ap-7699	261	16	,	,	PUNCT
ap-7699	261	17	θr	θr	PROPN
ap-7699	261	18	,	,	PUNCT
ap-7699	261	19	θgb	θgb	PROPN
ap-7699	261	20	,	,	PUNCT
ap-7699	261	21	ωκ	ωκ	ADV
ap-7699	261	22	nor	nor	CCONJ
ap-7699	261	23	on	on	ADP
ap-7699	261	24	ωλ	ωλ	ADJ
ap-7699	261	25	.	.	PUNCT
ap-7699	262	1	this	this	PRON
ap-7699	262	2	is	be	AUX
ap-7699	262	3	due	due	ADJ
ap-7699	262	4	to	to	ADP
ap-7699	262	5	the	the	DET
ap-7699	262	6	energy	energy	NOUN
ap-7699	262	7	dimensionality	dimensionality	NOUN
ap-7699	262	8	considerations	consideration	NOUN
ap-7699	262	9	of	of	ADP
ap-7699	262	10	other	other	ADJ
ap-7699	262	11	uv	uv	NOUN
ap-7699	262	12	-	-	PUNCT
ap-7699	262	13	subleading	subleading	ADJ
ap-7699	262	14	terms	term	NOUN
ap-7699	262	15	in	in	ADP
ap-7699	262	16	the	the	DET
ap-7699	262	17	action	action	NOUN
ap-7699	262	18	in	in	ADP
ap-7699	262	19	(	(	PUNCT
ap-7699	262	20	6	6	NUM
ap-7699	262	21	)	)	PUNCT
ap-7699	262	22	.	.	PUNCT
ap-7699	263	1	only	only	ADV
ap-7699	263	2	the	the	DET
ap-7699	263	3	terms	term	NOUN
ap-7699	263	4	having	have	VERB
ap-7699	263	5	the	the	DET
ap-7699	263	6	same	same	ADJ
ap-7699	263	7	energy	energy	NOUN
ap-7699	263	8	dimensionality	dimensionality	NOUN
ap-7699	263	9	as	as	ADP
ap-7699	263	10	the	the	DET
ap-7699	263	11	leading	leading	NOUN
ap-7699	263	12	in	in	ADP
ap-7699	263	13	the	the	DET
ap-7699	263	14	uv	uv	NOUN
ap-7699	263	15	regime	regime	NOUN
ap-7699	263	16	(	(	PUNCT
ap-7699	263	17	shaping	shape	VERB
ap-7699	263	18	the	the	DET
ap-7699	263	19	uv	uv	NOUN
ap-7699	263	20	form	form	NOUN
ap-7699	263	21	of	of	ADP
ap-7699	263	22	the	the	DET
ap-7699	263	23	perturbative	perturbative	ADJ
ap-7699	263	24	propagator	propagator	NOUN
ap-7699	263	25	)	)	PUNCT
ap-7699	263	26	may	may	AUX
ap-7699	263	27	contribute	contribute	VERB
ap-7699	263	28	to	to	ADP
ap-7699	263	29	the	the	DET
ap-7699	263	30	leading	lead	VERB
ap-7699	263	31	form	form	NOUN
ap-7699	263	32	of	of	ADP
ap-7699	263	33	uv	uv	NOUN
ap-7699	263	34	divergences	divergence	NOUN
ap-7699	263	35	,	,	PUNCT
ap-7699	263	36	which	which	PRON
ap-7699	263	37	in	in	ADP
ap-7699	263	38	the	the	DET
ap-7699	263	39	divergent	divergent	ADJ
ap-7699	263	40	action	action	NOUN
ap-7699	263	41	(	(	PUNCT
ap-7699	263	42	1	1	X
ap-7699	263	43	)	)	PUNCT
ap-7699	263	44	are	be	AUX
ap-7699	263	45	represented	represent	VERB
ap-7699	263	46	by	by	ADP
ap-7699	263	47	dimensionless	dimensionless	NOUN
ap-7699	263	48	numbers	number	NOUN
ap-7699	263	49	(	(	PUNCT
ap-7699	263	50	in	in	ADP
ap-7699	263	51	d	d	NOUN
ap-7699	263	52	=	=	NOUN
ap-7699	263	53	4	4	NUM
ap-7699	263	54	)	)	PUNCT
ap-7699	263	55	such	such	ADJ
ap-7699	263	56	as	as	ADP
ap-7699	263	57	αc	αc	PROPN
ap-7699	263	58	,	,	PUNCT
ap-7699	263	59	αr	αr	PROPN
ap-7699	263	60	and	and	CCONJ
ap-7699	263	61	αgb	αgb	PROPN
ap-7699	263	62	.	.	PUNCT
ap-7699	264	1	for	for	ADP
ap-7699	264	2	example	example	NOUN
ap-7699	264	3	,	,	PUNCT
ap-7699	264	4	the	the	DET
ap-7699	264	5	terms	term	NOUN
ap-7699	264	6	with	with	ADP
ap-7699	264	7	coefficients	coefficient	NOUN
ap-7699	264	8	θc	θc	ADP
ap-7699	264	9	or	or	CCONJ
ap-7699	264	10	θr	θr	NOUN
ap-7699	264	11	have	have	VERB
ap-7699	264	12	different	different	ADJ
ap-7699	264	13	energy	energy	NOUN
ap-7699	264	14	dimensions	dimension	NOUN
ap-7699	264	15	and	and	CCONJ
ap-7699	264	16	can	can	AUX
ap-7699	264	17	not	not	PART
ap-7699	264	18	appear	appear	VERB
ap-7699	264	19	there	there	ADV
ap-7699	264	20	.	.	PUNCT
ap-7699	265	1	this	this	DET
ap-7699	265	2	pertinent	pertinent	ADJ
ap-7699	265	3	observation	observation	NOUN
ap-7699	265	4	lets	let	VERB
ap-7699	265	5	us	we	PRON
ap-7699	265	6	for	for	SCONJ
ap-7699	265	7	our	our	PRON
ap-7699	265	8	computation	computation	NOUN
ap-7699	265	9	to	to	PART
ap-7699	265	10	use	use	VERB
ap-7699	265	11	just	just	ADV
ap-7699	265	12	the	the	DET
ap-7699	265	13	reduced	reduced	ADJ
ap-7699	265	14	action	action	NOUN
ap-7699	265	15	,	,	PUNCT
ap-7699	265	16	where	where	SCONJ
ap-7699	265	17	we	we	PRON
ap-7699	265	18	write	write	VERB
ap-7699	265	19	only	only	ADV
ap-7699	265	20	the	the	DET
ap-7699	265	21	terms	term	NOUN
ap-7699	265	22	that	that	PRON
ap-7699	265	23	are	be	AUX
ap-7699	265	24	important	important	ADJ
ap-7699	265	25	for	for	ADP
ap-7699	265	26	the	the	DET
ap-7699	265	27	uv	uv	NOUN
ap-7699	265	28	divergences	divergence	NOUN
ap-7699	265	29	we	we	PRON
ap-7699	265	30	want	want	VERB
ap-7699	265	31	to	to	PART
ap-7699	265	32	analyze	analyze	VERB
ap-7699	265	33	in	in	ADP
ap-7699	265	34	this	this	DET
ap-7699	265	35	paper	paper	NOUN
ap-7699	265	36	.	.	PUNCT
ap-7699	266	1	this	this	DET
ap-7699	266	2	action	action	NOUN
ap-7699	266	3	takes	take	VERB
ap-7699	266	4	explicitly	explicitly	ADV
ap-7699	266	5	the	the	DET
ap-7699	266	6	following	follow	VERB
ap-7699	266	7	form	form	NOUN
ap-7699	266	8	shd	shd	X
ap-7699	266	9	=	=	SYM
ap-7699	266	10	∫	∫	PROPN
ap-7699	266	11	d4x	d4x	PROPN
ap-7699	266	12	√	√	PROPN
ap-7699	266	13	|g|	|g|	PROPN
ap-7699	266	14	(	(	PUNCT
ap-7699	266	15	ωccµνρσ	ωccµνρσ	NOUN
ap-7699	266	16	□	□	X
ap-7699	266	17	cµνρσ	cµνρσ	NOUN
ap-7699	266	18	+	+	CCONJ
ap-7699	266	19	ωrr	ωrr	ADJ
ap-7699	266	20	□	□	SYM
ap-7699	266	21	r	r	NOUN
ap-7699	266	22	)	)	PUNCT
ap-7699	266	23	.	.	PUNCT
ap-7699	267	1	(	(	PUNCT
ap-7699	267	2	10	10	NUM
ap-7699	267	3	)	)	PUNCT
ap-7699	267	4	we	we	PRON
ap-7699	267	5	want	want	VERB
ap-7699	267	6	to	to	PART
ap-7699	267	7	just	just	ADV
ap-7699	267	8	remark	remark	VERB
ap-7699	267	9	here	here	ADV
ap-7699	267	10	that	that	SCONJ
ap-7699	267	11	the	the	DET
ap-7699	267	12	results	result	NOUN
ap-7699	267	13	in	in	ADP
ap-7699	267	14	the	the	DET
ap-7699	267	15	theory	theory	NOUN
ap-7699	267	16	with	with	ADP
ap-7699	267	17	six	six	NUM
ap-7699	267	18	-	-	PUNCT
ap-7699	267	19	derivative	derivative	ADJ
ap-7699	267	20	gravitational	gravitational	ADJ
ap-7699	267	21	action	action	NOUN
ap-7699	267	22	are	be	AUX
ap-7699	267	23	discontinuous	discontinuous	ADJ
ap-7699	267	24	to	to	ADP
ap-7699	267	25	the	the	DET
ap-7699	267	26	results	result	NOUN
ap-7699	267	27	one	one	PRON
ap-7699	267	28	obtains	obtain	VERB
ap-7699	267	29	for	for	ADP
ap-7699	267	30	the	the	DET
ap-7699	267	31	similar	similar	ADJ
ap-7699	267	32	type	type	NOUN
ap-7699	267	33	of	of	ADP
ap-7699	267	34	computations	computation	NOUN
ap-7699	267	35	in	in	ADP
ap-7699	267	36	four	four	NUM
ap-7699	267	37	-	-	PUNCT
ap-7699	267	38	derivative	derivative	ADJ
ap-7699	267	39	stelle	stelle	NOUN
ap-7699	267	40	quadratic	quadratic	ADJ
ap-7699	267	41	qg	qg	PROPN
ap-7699	267	42	models	model	NOUN
ap-7699	267	43	,	,	PUNCT
ap-7699	267	44	which	which	PRON
ap-7699	267	45	are	be	AUX
ap-7699	267	46	usually	usually	ADV
ap-7699	267	47	analyzed	analyze	VERB
ap-7699	267	48	in	in	ADP
ap-7699	267	49	d	d	PROPN
ap-7699	267	50	=	=	SYM
ap-7699	267	51	4	4	NUM
ap-7699	267	52	as	as	ADP
ap-7699	267	53	the	the	DET
ap-7699	267	54	first	first	ADJ
ap-7699	267	55	and	and	CCONJ
ap-7699	267	56	the	the	DET
ap-7699	267	57	most	most	ADV
ap-7699	267	58	promising	promising	ADJ
ap-7699	267	59	models	model	NOUN
ap-7699	267	60	of	of	ADP
ap-7699	267	61	higher	high	ADJ
ap-7699	267	62	-	-	PUNCT
ap-7699	267	63	derivative	derivative	ADJ
ap-7699	267	64	qg	qg	PROPN
ap-7699	267	65	.	.	PUNCT
ap-7699	268	1	this	this	DET
ap-7699	268	2	discontinuity	discontinuity	NOUN
ap-7699	268	3	is	be	AUX
ap-7699	268	4	based	base	VERB
ap-7699	268	5	on	on	ADP
ap-7699	268	6	the	the	DET
ap-7699	268	7	known	know	VERB
ap-7699	268	8	fact	fact	NOUN
ap-7699	268	9	(	(	PUNCT
ap-7699	268	10	both	both	PRON
ap-7699	268	11	for	for	ADP
ap-7699	268	12	hd	hd	NOUN
ap-7699	268	13	gauge	gauge	NOUN
ap-7699	268	14	and	and	CCONJ
ap-7699	268	15	gravitational	gravitational	ADJ
ap-7699	268	16	theories	theory	NOUN
ap-7699	268	17	)	)	PUNCT
ap-7699	268	18	that	that	SCONJ
ap-7699	268	19	the	the	DET
ap-7699	268	20	cases	case	NOUN
ap-7699	268	21	with	with	ADP
ap-7699	268	22	two	two	NUM
ap-7699	268	23	and	and	CCONJ
ap-7699	268	24	four	four	NUM
ap-7699	268	25	more	more	ADJ
ap-7699	268	26	derivatives	derivative	NOUN
ap-7699	268	27	in	in	ADP
ap-7699	268	28	the	the	DET
ap-7699	268	29	action	action	NOUN
ap-7699	268	30	of	of	ADP
ap-7699	268	31	respective	respective	ADJ
ap-7699	268	32	gauge	gauge	NOUN
ap-7699	268	33	fields	field	NOUN
ap-7699	268	34	(	(	PUNCT
ap-7699	268	35	metric	metric	ADJ
ap-7699	268	36	fields	field	NOUN
ap-7699	268	37	in	in	ADP
ap-7699	268	38	gravity	gravity	NOUN
ap-7699	268	39	)	)	PUNCT
ap-7699	268	40	than	than	ADP
ap-7699	268	41	in	in	ADP
ap-7699	268	42	the	the	DET
ap-7699	268	43	minimal	minimal	ADJ
ap-7699	268	44	renormalizable	renormalizable	ADJ
ap-7699	268	45	model	model	NOUN
ap-7699	268	46	are	be	AUX
ap-7699	268	47	discontinuous	discontinuous	ADJ
ap-7699	268	48	and	and	CCONJ
ap-7699	268	49	exceptional	exceptional	ADJ
ap-7699	268	50	,	,	PUNCT
ap-7699	268	51	while	while	SCONJ
ap-7699	268	52	the	the	DET
ap-7699	268	53	general	general	ADJ
ap-7699	268	54	formula	formula	NOUN
ap-7699	268	55	exists	exist	VERB
ap-7699	268	56	starting	start	VERB
ap-7699	268	57	from	from	ADP
ap-7699	268	58	action	action	NOUN
ap-7699	268	59	with	with	ADP
ap-7699	268	60	six	six	NUM
ap-7699	268	61	derivatives	derivative	NOUN
ap-7699	268	62	more	more	ADJ
ap-7699	268	63	in	in	ADP
ap-7699	268	64	its	its	PRON
ap-7699	268	65	definition	definition	NOUN
ap-7699	268	66	(	(	PUNCT
ap-7699	268	67	and	and	CCONJ
ap-7699	268	68	then	then	ADV
ap-7699	268	69	this	this	DET
ap-7699	268	70	formula	formula	NOUN
ap-7699	268	71	could	could	AUX
ap-7699	268	72	be	be	AUX
ap-7699	268	73	analytically	analytically	ADV
ap-7699	268	74	extended	extend	VERB
ap-7699	268	75	)	)	PUNCT
ap-7699	268	76	.	.	PUNCT
ap-7699	269	1	all	all	DET
ap-7699	269	2	three	three	NUM
ap-7699	269	3	cases	case	NOUN
ap-7699	269	4	of	of	ADP
ap-7699	269	5	:	:	PUNCT
ap-7699	269	6	first	first	ADJ
ap-7699	269	7	minimal	minimal	ADJ
ap-7699	269	8	renormalizable	renormalizable	ADJ
ap-7699	269	9	theory	theory	NOUN
ap-7699	269	10	,	,	PUNCT
ap-7699	269	11	and	and	CCONJ
ap-7699	269	12	the	the	DET
ap-7699	269	13	models	model	NOUN
ap-7699	269	14	with	with	ADP
ap-7699	269	15	two	two	NUM
ap-7699	269	16	or	or	CCONJ
ap-7699	269	17	four	four	NUM
ap-7699	269	18	derivatives	derivative	NOUN
ap-7699	269	19	more	more	ADJ
ap-7699	269	20	are	be	AUX
ap-7699	269	21	special	special	ADJ
ap-7699	269	22	and	and	CCONJ
ap-7699	269	23	can	can	AUX
ap-7699	269	24	not	not	PART
ap-7699	269	25	be	be	AUX
ap-7699	269	26	obtained	obtain	VERB
ap-7699	269	27	by	by	ADP
ap-7699	269	28	any	any	DET
ap-7699	269	29	limiting	limit	VERB
ap-7699	269	30	procedure	procedure	NOUN
ap-7699	269	31	from	from	ADP
ap-7699	269	32	the	the	DET
ap-7699	269	33	general	general	ADJ
ap-7699	269	34	results	result	NOUN
ap-7699	269	35	which	which	PRON
ap-7699	269	36	hold	hold	VERB
ap-7699	269	37	for	for	ADP
ap-7699	269	38	higher	high	ADJ
ap-7699	269	39	-	-	PUNCT
ap-7699	269	40	derivative	derivative	ADJ
ap-7699	269	41	regulated	regulated	ADJ
ap-7699	269	42	actions	action	NOUN
ap-7699	269	43	,	,	PUNCT
ap-7699	269	44	which	which	PRON
ap-7699	269	45	contain	contain	VERB
ap-7699	269	46	six	six	NUM
ap-7699	269	47	or	or	CCONJ
ap-7699	269	48	more	more	ADJ
ap-7699	269	49	derivatives	derivative	NOUN
ap-7699	269	50	than	than	ADP
ap-7699	269	51	in	in	ADP
ap-7699	269	52	the	the	DET
ap-7699	269	53	minimal	minimal	ADJ
ap-7699	269	54	renormalizable	renormalizable	ADJ
ap-7699	269	55	model	model	NOUN
ap-7699	269	56	.	.	PUNCT
ap-7699	270	1	for	for	ADP
ap-7699	270	2	the	the	DET
ap-7699	270	3	case	case	NOUN
ap-7699	270	4	of	of	ADP
ap-7699	270	5	qg	qg	PROPN
ap-7699	270	6	in	in	ADP
ap-7699	270	7	d	d	PROPN
ap-7699	270	8	=	=	SYM
ap-7699	270	9	4	4	NUM
ap-7699	270	10	in	in	ADP
ap-7699	270	11	the	the	DET
ap-7699	270	12	minimal	minimal	ADJ
ap-7699	270	13	model	model	NOUN
ap-7699	270	14	we	we	PRON
ap-7699	270	15	have	have	VERB
ap-7699	270	16	obviously	obviously	ADV
ap-7699	270	17	four	four	NUM
ap-7699	270	18	derivatives	derivative	NOUN
ap-7699	270	19	.	.	PUNCT
ap-7699	271	1	of	of	ADP
ap-7699	271	2	course	course	NOUN
ap-7699	271	3	,	,	PUNCT
ap-7699	271	4	this	this	DET
ap-7699	271	5	discontinuity	discontinuity	NOUN
ap-7699	271	6	is	be	AUX
ap-7699	271	7	related	relate	VERB
ap-7699	271	8	to	to	ADP
ap-7699	271	9	the	the	DET
ap-7699	271	10	different	different	ADJ
ap-7699	271	11	type	type	NOUN
ap-7699	271	12	of	of	ADP
ap-7699	271	13	enhanced	enhanced	ADJ
ap-7699	271	14	renormalizability	renormalizability	NOUN
ap-7699	271	15	properties	property	NOUN
ap-7699	271	16	of	of	ADP
ap-7699	271	17	the	the	DET
ap-7699	271	18	models	model	NOUN
ap-7699	271	19	in	in	ADP
ap-7699	271	20	question	question	NOUN
ap-7699	271	21	.	.	PUNCT
ap-7699	272	1	as	as	SCONJ
ap-7699	272	2	we	we	PRON
ap-7699	272	3	have	have	AUX
ap-7699	272	4	already	already	ADV
ap-7699	272	5	explained	explain	VERB
ap-7699	272	6	above	above	ADP
ap-7699	272	7	the	the	DET
ap-7699	272	8	gravitational	gravitational	ADJ
ap-7699	272	9	model	model	NOUN
ap-7699	272	10	with	with	ADP
ap-7699	272	11	six	six	NUM
ap-7699	272	12	derivatives	derivative	NOUN
ap-7699	272	13	in	in	ADP
ap-7699	272	14	d	d	NOUN
ap-7699	272	15	=	=	SYM
ap-7699	272	16	4	4	NUM
ap-7699	272	17	is	be	AUX
ap-7699	272	18	the	the	DET
ap-7699	272	19	first	first	ADJ
ap-7699	272	20	superrenormalizable	superrenormalizable	ADJ
ap-7699	272	21	model	model	NOUN
ap-7699	272	22	of	of	ADP
ap-7699	272	23	qg	qg	PROPN
ap-7699	272	24	,	,	PUNCT
ap-7699	272	25	where	where	SCONJ
ap-7699	272	26	from	from	ADP
ap-7699	272	27	the	the	DET
ap-7699	272	28	fourth	fourth	ADJ
ap-7699	272	29	loop	loop	NOUN
ap-7699	272	30	on	on	ADP
ap-7699	272	31	the	the	DET
ap-7699	272	32	perturbative	perturbative	ADJ
ap-7699	272	33	uv	uv	NOUN
ap-7699	272	34	divergences	divergence	NOUN
ap-7699	272	35	are	be	AUX
ap-7699	272	36	completely	completely	ADV
ap-7699	272	37	absent	absent	ADJ
ap-7699	272	38	.	.	PUNCT
ap-7699	273	1	the	the	DET
ap-7699	273	2	case	case	NOUN
ap-7699	273	3	of	of	ADP
ap-7699	273	4	stelle	stelle	PROPN
ap-7699	273	5	theory	theory	NOUN
ap-7699	273	6	gives	give	VERB
ap-7699	273	7	just	just	ADV
ap-7699	273	8	the	the	DET
ap-7699	273	9	renormalizable	renormalizable	ADJ
ap-7699	273	10	theory	theory	NOUN
ap-7699	273	11	,	,	PUNCT
ap-7699	273	12	where	where	SCONJ
ap-7699	273	13	the	the	DET
ap-7699	273	14	divergences	divergence	NOUN
ap-7699	273	15	are	be	AUX
ap-7699	273	16	present	present	ADJ
ap-7699	273	17	at	at	ADP
ap-7699	273	18	any	any	DET
ap-7699	273	19	loop	loop	NOUN
ap-7699	273	20	order	order	NOUN
ap-7699	273	21	(	(	PUNCT
ap-7699	273	22	they	they	PRON
ap-7699	273	23	are	be	AUX
ap-7699	273	24	always	always	ADV
ap-7699	273	25	the	the	DET
ap-7699	273	26	same	same	ADJ
ap-7699	273	27	divergences	divergence	NOUN
ap-7699	273	28	,	,	PUNCT
ap-7699	273	29	always	always	ADV
ap-7699	273	30	absorbable	absorbable	ADJ
ap-7699	273	31	in	in	ADP
ap-7699	273	32	the	the	DET
ap-7699	273	33	same	same	ADJ
ap-7699	273	34	set	set	NOUN
ap-7699	273	35	of	of	ADP
ap-7699	273	36	counterterms	counterterm	NOUN
ap-7699	273	37	since	since	SCONJ
ap-7699	273	38	the	the	DET
ap-7699	273	39	theory	theory	NOUN
ap-7699	273	40	is	be	AUX
ap-7699	273	41	renormalizable	renormalizable	ADJ
ap-7699	273	42	)	)	PUNCT
ap-7699	273	43	.	.	PUNCT
ap-7699	274	1	one	one	PRON
ap-7699	274	2	sees	see	VERB
ap-7699	274	3	the	the	DET
ap-7699	274	4	discontinuity	discontinuity	NOUN
ap-7699	274	5	already	already	ADV
ap-7699	274	6	in	in	ADP
ap-7699	274	7	the	the	DET
ap-7699	274	8	behaviour	behaviour	NOUN
ap-7699	274	9	of	of	ADP
ap-7699	274	10	uv	uv	NOUN
ap-7699	274	11	divergences	divergence	NOUN
ap-7699	274	12	as	as	SCONJ
ap-7699	274	13	done	do	VERB
ap-7699	274	14	in	in	ADP
ap-7699	274	15	the	the	DET
ap-7699	274	16	analysis	analysis	NOUN
ap-7699	274	17	of	of	ADP
ap-7699	274	18	power	power	NOUN
ap-7699	274	19	counting	counting	NOUN
ap-7699	274	20	.	.	PUNCT
ap-7699	275	1	when	when	SCONJ
ap-7699	275	2	the	the	DET
ap-7699	275	3	number	number	NOUN
ap-7699	275	4	of	of	ADP
ap-7699	275	5	derivatives	derivative	NOUN
ap-7699	275	6	is	be	AUX
ap-7699	275	7	increased	increase	VERB
ap-7699	275	8	in	in	ADP
ap-7699	275	9	steps	step	NOUN
ap-7699	275	10	(	(	PUNCT
ap-7699	275	11	by	by	ADP
ap-7699	275	12	two	two	NUM
ap-7699	275	13	)	)	PUNCT
ap-7699	275	14	,	,	PUNCT
ap-7699	275	15	then	then	ADV
ap-7699	275	16	the	the	DET
ap-7699	275	17	level	level	NOUN
ap-7699	275	18	of	of	ADP
ap-7699	275	19	loops	loop	NOUN
ap-7699	275	20	when	when	SCONJ
ap-7699	275	21	one	one	PRON
ap-7699	275	22	does	do	AUX
ap-7699	275	23	not	not	PART
ap-7699	275	24	see	see	VERB
ap-7699	275	25	divergences	divergence	NOUN
ap-7699	275	26	at	at	ADP
ap-7699	275	27	all	all	DET
ap-7699	275	28	decreases	decrease	NOUN
ap-7699	275	29	but	but	CCONJ
ap-7699	275	30	in	in	ADP
ap-7699	275	31	some	some	DET
ap-7699	275	32	discontinuous	discontinuous	ADJ
ap-7699	275	33	jumps	jump	NOUN
ap-7699	275	34	.	.	PUNCT
ap-7699	276	1	and	and	CCONJ
ap-7699	276	2	for	for	ADP
ap-7699	276	3	example	example	NOUN
ap-7699	276	4	for	for	ADP
ap-7699	276	5	the	the	DET
ap-7699	276	6	qg	qg	PROPN
ap-7699	276	7	theory	theory	NOUN
ap-7699	276	8	with	with	ADP
ap-7699	276	9	ten	ten	NUM
ap-7699	276	10	or	or	CCONJ
ap-7699	276	11	more	more	ADJ
ap-7699	276	12	derivatives	derivative	NOUN
ap-7699	276	13	the	the	DET
ap-7699	276	14	uv	uv	NOUN
ap-7699	276	15	divergences	divergence	NOUN
ap-7699	276	16	are	be	AUX
ap-7699	276	17	only	only	ADV
ap-7699	276	18	at	at	ADP
ap-7699	276	19	125	125	NUM
ap-7699	276	20	lesław	lesław	NOUN
ap-7699	276	21	rachwał	rachwał	PROPN
ap-7699	276	22	acta	acta	PROPN
ap-7699	276	23	polytechnica	polytechnica	PROPN
ap-7699	276	24	the	the	DET
ap-7699	276	25	one	one	NUM
ap-7699	276	26	-	-	PUNCT
ap-7699	276	27	loop	loop	NOUN
ap-7699	276	28	level	level	NOUN
ap-7699	276	29	.	.	PUNCT
ap-7699	277	1	(	(	PUNCT
ap-7699	277	2	for	for	ADP
ap-7699	277	3	gravitational	gravitational	ADJ
ap-7699	277	4	theories	theory	NOUN
ap-7699	277	5	with	with	ADP
ap-7699	277	6	8	8	NUM
ap-7699	277	7	derivatives	derivative	NOUN
ap-7699	277	8	the	the	DET
ap-7699	277	9	last	last	ADJ
ap-7699	277	10	level	level	NOUN
ap-7699	277	11	which	which	PRON
ap-7699	277	12	is	be	AUX
ap-7699	277	13	divergent	divergent	ADJ
ap-7699	277	14	is	be	AUX
ap-7699	277	15	the	the	DET
ap-7699	277	16	second	second	ADJ
ap-7699	277	17	loop	loop	NOUN
ap-7699	277	18	.	.	PUNCT
ap-7699	277	19	)	)	PUNCT
ap-7699	278	1	there	there	PRON
ap-7699	278	2	exist	exist	VERB
ap-7699	278	3	also	also	ADV
ap-7699	278	4	analytic	analytic	ADJ
ap-7699	278	5	formulas	formula	NOUN
ap-7699	278	6	,	,	PUNCT
ap-7699	278	7	which	which	PRON
ap-7699	278	8	combine	combine	VERB
ap-7699	278	9	the	the	DET
ap-7699	278	10	results	result	NOUN
ap-7699	278	11	for	for	ADP
ap-7699	278	12	uv	uv	NOUN
ap-7699	278	13	divergences	divergence	NOUN
ap-7699	278	14	for	for	ADP
ap-7699	278	15	the	the	DET
ap-7699	278	16	cases	case	NOUN
ap-7699	278	17	of	of	ADP
ap-7699	278	18	theories	theory	NOUN
ap-7699	278	19	with	with	ADP
ap-7699	278	20	four	four	NUM
ap-7699	278	21	or	or	CCONJ
ap-7699	278	22	more	more	ADJ
ap-7699	278	23	derivatives	derivative	NOUN
ap-7699	278	24	more	more	ADV
ap-7699	278	25	compared	compare	VERB
ap-7699	278	26	to	to	ADP
ap-7699	278	27	the	the	DET
ap-7699	278	28	minimal	minimal	ADJ
ap-7699	278	29	renormalizable	renormalizable	ADJ
ap-7699	278	30	model	model	NOUN
ap-7699	278	31	with	with	ADP
ap-7699	278	32	four	four	NUM
ap-7699	278	33	derivatives	derivative	NOUN
ap-7699	278	34	in	in	ADP
ap-7699	278	35	d	d	PROPN
ap-7699	278	36	=	=	SYM
ap-7699	278	37	4	4	X
ap-7699	278	38	.	.	X
ap-7699	278	39	again	again	ADV
ap-7699	278	40	one	one	NUM
ap-7699	278	41	sees	see	VERB
ap-7699	278	42	from	from	ADP
ap-7699	278	43	such	such	ADJ
ap-7699	278	44	formulas	formula	NOUN
ap-7699	278	45	,	,	PUNCT
ap-7699	278	46	that	that	SCONJ
ap-7699	278	47	the	the	DET
ap-7699	278	48	correct	correct	ADJ
ap-7699	278	49	results	result	NOUN
ap-7699	278	50	for	for	ADP
ap-7699	278	51	the	the	DET
ap-7699	278	52	minimal	minimal	ADJ
ap-7699	278	53	renormalizable	renormalizable	ADJ
ap-7699	278	54	model	model	NOUN
ap-7699	278	55	and	and	CCONJ
ap-7699	278	56	the	the	DET
ap-7699	278	57	one	one	NOUN
ap-7699	278	58	with	with	ADP
ap-7699	278	59	six	six	NUM
ap-7699	278	60	derivatives	derivative	NOUN
ap-7699	278	61	are	be	AUX
ap-7699	278	62	discontinuous	discontinuous	ADJ
ap-7699	278	63	.	.	PUNCT
ap-7699	279	1	then	then	ADV
ap-7699	279	2	the	the	DET
ap-7699	279	3	case	case	NOUN
ap-7699	279	4	with	with	ADP
ap-7699	279	5	8	8	NUM
ap-7699	279	6	-	-	PUNCT
ap-7699	279	7	derivative	derivative	ADJ
ap-7699	279	8	gravitational	gravitational	ADJ
ap-7699	279	9	theory	theory	NOUN
ap-7699	279	10	is	be	AUX
ap-7699	279	11	the	the	DET
ap-7699	279	12	first	first	ADJ
ap-7699	279	13	one	one	NUM
ap-7699	279	14	for	for	ADP
ap-7699	279	15	which	which	PRON
ap-7699	279	16	the	the	DET
ap-7699	279	17	analytic	analytic	ADJ
ap-7699	279	18	formulas	formula	NOUN
ap-7699	279	19	hold	hold	VERB
ap-7699	279	20	true	true	ADJ
ap-7699	279	21	.	.	PUNCT
ap-7699	280	1	however	however	ADV
ap-7699	280	2	,	,	PUNCT
ap-7699	280	3	this	this	PRON
ap-7699	280	4	has	have	VERB
ap-7699	280	5	apparently	apparently	ADV
ap-7699	280	6	nothing	nothing	PRON
ap-7699	280	7	to	to	PART
ap-7699	280	8	do	do	VERB
ap-7699	280	9	with	with	ADP
ap-7699	280	10	the	the	DET
ap-7699	280	11	strengthened	strengthen	VERB
ap-7699	280	12	super	super	ADJ
ap-7699	280	13	-	-	ADJ
ap-7699	280	14	renormalizability	renormalizability	ADJ
ap-7699	280	15	properties	property	NOUN
ap-7699	280	16	at	at	ADP
ap-7699	280	17	some	some	DET
ap-7699	280	18	loop	loop	NOUN
ap-7699	280	19	level	level	NOUN
ap-7699	280	20	as	as	SCONJ
ap-7699	280	21	it	it	PRON
ap-7699	280	22	was	be	AUX
ap-7699	280	23	emphasized	emphasize	VERB
ap-7699	280	24	above	above	ADV
ap-7699	280	25	.	.	PUNCT
ap-7699	281	1	the	the	DET
ap-7699	281	2	six	six	NUM
ap-7699	281	3	-	-	PUNCT
ap-7699	281	4	derivative	derivative	ADJ
ap-7699	281	5	gravitational	gravitational	ADJ
ap-7699	281	6	theory	theory	NOUN
ap-7699	281	7	is	be	AUX
ap-7699	281	8	therefore	therefore	ADV
ap-7699	281	9	3	3	NUM
ap-7699	281	10	-	-	PUNCT
ap-7699	281	11	loop	loop	NOUN
ap-7699	281	12	super	super	NOUN
ap-7699	281	13	-	-	NOUN
ap-7699	281	14	renormalizable	renormalizable	ADJ
ap-7699	281	15	since	since	SCONJ
ap-7699	281	16	the	the	DET
ap-7699	281	17	3	3	NUM
ap-7699	281	18	-	-	PUNCT
ap-7699	281	19	loop	loop	NOUN
ap-7699	281	20	level	level	NOUN
ap-7699	281	21	is	be	AUX
ap-7699	281	22	the	the	DET
ap-7699	281	23	last	last	ADJ
ap-7699	281	24	one	one	NOUN
ap-7699	281	25	,	,	PUNCT
ap-7699	281	26	when	when	SCONJ
ap-7699	281	27	one	one	PRON
ap-7699	281	28	needs	need	VERB
ap-7699	281	29	to	to	PART
ap-7699	281	30	absorb	absorb	VERB
ap-7699	281	31	infinities	infinity	NOUN
ap-7699	281	32	and	and	CCONJ
ap-7699	281	33	renormalize	renormalize	VERB
ap-7699	281	34	anew	anew	ADV
ap-7699	281	35	the	the	DET
ap-7699	281	36	theory	theory	NOUN
ap-7699	281	37	.	.	PUNCT
ap-7699	282	1	these	these	PRON
ap-7699	282	2	jumps	jump	VERB
ap-7699	282	3	from	from	ADP
ap-7699	282	4	3loop	3loop	NUM
ap-7699	282	5	super	super	NOUN
ap-7699	282	6	-	-	NOUN
ap-7699	282	7	renormalizability	renormalizability	NOUN
ap-7699	282	8	to	to	ADP
ap-7699	282	9	2	2	NUM
ap-7699	282	10	-	-	PUNCT
ap-7699	282	11	loop	loop	NOUN
ap-7699	282	12	and	and	CCONJ
ap-7699	282	13	finally	finally	ADV
ap-7699	282	14	to	to	ADP
ap-7699	282	15	one	one	NUM
ap-7699	282	16	-	-	PUNCT
ap-7699	282	17	loop	loop	NOUN
ap-7699	282	18	super	super	NOUN
ap-7699	282	19	-	-	NOUN
ap-7699	282	20	renormalizability	renormalizability	NOUN
ap-7699	282	21	are	be	AUX
ap-7699	282	22	from	from	ADP
ap-7699	282	23	their	their	PRON
ap-7699	282	24	nature	nature	NOUN
ap-7699	282	25	discontinuous	discontinuous	ADJ
ap-7699	282	26	and	and	CCONJ
ap-7699	282	27	hence	hence	ADV
ap-7699	282	28	also	also	ADV
ap-7699	282	29	the	the	DET
ap-7699	282	30	results	result	NOUN
ap-7699	282	31	for	for	ADP
ap-7699	282	32	divergences	divergence	NOUN
ap-7699	282	33	inherit	inherit	VERB
ap-7699	282	34	this	this	DET
ap-7699	282	35	discontinuity	discontinuity	NOUN
ap-7699	282	36	.	.	PUNCT
ap-7699	283	1	for	for	ADP
ap-7699	283	2	theories	theory	NOUN
ap-7699	283	3	with	with	ADP
ap-7699	283	4	ten	ten	NUM
ap-7699	283	5	or	or	CCONJ
ap-7699	283	6	more	more	ADJ
ap-7699	283	7	derivatives	derivative	NOUN
ap-7699	283	8	we	we	PRON
ap-7699	283	9	have	have	VERB
ap-7699	283	10	one	one	NUM
ap-7699	283	11	-	-	PUNCT
ap-7699	283	12	loop	loop	NOUN
ap-7699	283	13	superrenormalizability	superrenormalizability	NOUN
ap-7699	283	14	and	and	CCONJ
ap-7699	283	15	the	the	DET
ap-7699	283	16	results	result	NOUN
ap-7699	283	17	for	for	ADP
ap-7699	283	18	even	even	ADV
ap-7699	283	19	higher	high	ADJ
ap-7699	283	20	number	number	NOUN
ap-7699	283	21	of	of	ADP
ap-7699	283	22	derivatives	derivative	NOUN
ap-7699	283	23	2n	2n	NUM
ap-7699	283	24	must	must	AUX
ap-7699	283	25	be	be	AUX
ap-7699	283	26	continuous	continuous	ADJ
ap-7699	283	27	in	in	ADP
ap-7699	283	28	the	the	DET
ap-7699	283	29	parameter	parameter	NOUN
ap-7699	283	30	of	of	ADP
ap-7699	283	31	the	the	DET
ap-7699	283	32	number	number	NOUN
ap-7699	283	33	of	of	ADP
ap-7699	283	34	derivatives	derivative	NOUN
ap-7699	283	35	2n	2n	NUM
ap-7699	283	36	,	,	PUNCT
ap-7699	283	37	which	which	PRON
ap-7699	283	38	could	could	AUX
ap-7699	283	39	be	be	AUX
ap-7699	283	40	analytically	analytically	ADV
ap-7699	283	41	extended	extend	VERB
ap-7699	283	42	to	to	ADP
ap-7699	283	43	the	the	DET
ap-7699	283	44	whole	whole	ADJ
ap-7699	283	45	complex	complex	ADJ
ap-7699	283	46	plane	plane	NOUN
ap-7699	283	47	from	from	ADP
ap-7699	283	48	the	the	DET
ap-7699	283	49	even	even	ADJ
ap-7699	283	50	integer	integer	NOUN
ap-7699	283	51	values	value	NOUN
ap-7699	283	52	2n	2n	NUM
ap-7699	283	53	⩾	⩾	NUM
ap-7699	283	54	10	10	NUM
ap-7699	283	55	,	,	PUNCT
ap-7699	283	56	which	which	PRON
ap-7699	283	57	it	it	PRON
ap-7699	283	58	originally	originally	ADV
ap-7699	283	59	had	have	VERB
ap-7699	283	60	.	.	PUNCT
ap-7699	284	1	in	in	ADP
ap-7699	284	2	this	this	DET
ap-7699	284	3	analytically	analytically	ADV
ap-7699	284	4	extended	extend	VERB
ap-7699	284	5	picture	picture	NOUN
ap-7699	284	6	,	,	PUNCT
ap-7699	284	7	the	the	DET
ap-7699	284	8	cases	case	NOUN
ap-7699	284	9	with	with	ADP
ap-7699	284	10	eight	eight	NUM
ap-7699	284	11	,	,	PUNCT
ap-7699	284	12	six	six	NUM
ap-7699	284	13	and	and	CCONJ
ap-7699	284	14	four	four	NUM
ap-7699	284	15	derivatives	derivative	NOUN
ap-7699	284	16	are	be	AUX
ap-7699	284	17	special	special	ADJ
ap-7699	284	18	isolated	isolate	VERB
ap-7699	284	19	points	point	NOUN
ap-7699	284	20	,	,	PUNCT
ap-7699	284	21	which	which	PRON
ap-7699	284	22	are	be	AUX
ap-7699	284	23	discontinuous	discontinuous	ADJ
ap-7699	284	24	and	and	CCONJ
ap-7699	284	25	can	can	AUX
ap-7699	284	26	not	not	PART
ap-7699	284	27	be	be	AUX
ap-7699	284	28	obtained	obtain	VERB
ap-7699	284	29	from	from	ADP
ap-7699	284	30	the	the	DET
ap-7699	284	31	general	general	ADJ
ap-7699	284	32	analytic	analytic	ADJ
ap-7699	284	33	formula	formula	NOUN
ap-7699	284	34	valid	valid	NOUN
ap-7699	284	35	for	for	ADP
ap-7699	284	36	any	any	DET
ap-7699	284	37	n	n	NOUN
ap-7699	284	38	⩾	⩾	NOUN
ap-7699	284	39	5	5	NUM
ap-7699	284	40	.	.	PUNCT
ap-7699	285	1	the	the	DET
ap-7699	285	2	origin	origin	NOUN
ap-7699	285	3	of	of	ADP
ap-7699	285	4	this	this	PRON
ap-7699	285	5	is	be	AUX
ap-7699	285	6	again	again	ADV
ap-7699	285	7	in	in	ADP
ap-7699	285	8	power	power	NOUN
ap-7699	285	9	counting	counting	NOUN
ap-7699	285	10	of	of	ADP
ap-7699	285	11	divergences	divergence	NOUN
ap-7699	285	12	,	,	PUNCT
ap-7699	285	13	when	when	SCONJ
ap-7699	285	14	some	some	DET
ap-7699	285	15	integrals	integral	NOUN
ap-7699	285	16	over	over	ADP
ap-7699	285	17	loop	loop	NOUN
ap-7699	285	18	momenta	momenta	PROPN
ap-7699	285	19	are	be	AUX
ap-7699	285	20	said	say	VERB
ap-7699	285	21	to	to	PART
ap-7699	285	22	be	be	AUX
ap-7699	285	23	convergent	convergent	ADJ
ap-7699	285	24	,	,	PUNCT
ap-7699	285	25	when	when	SCONJ
ap-7699	285	26	the	the	DET
ap-7699	285	27	superficial	superficial	ADJ
ap-7699	285	28	degree	degree	NOUN
ap-7699	285	29	of	of	ADP
ap-7699	285	30	divergence	divergence	NOUN
ap-7699	285	31	is	be	AUX
ap-7699	285	32	smaller	small	ADJ
ap-7699	285	33	than	than	ADP
ap-7699	285	34	zero	zero	NUM
ap-7699	285	35	,	,	PUNCT
ap-7699	285	36	and	and	CCONJ
ap-7699	285	37	when	when	SCONJ
ap-7699	285	38	this	this	PRON
ap-7699	285	39	is	be	AUX
ap-7699	285	40	non	non	ADJ
ap-7699	285	41	-	-	ADJ
ap-7699	285	42	negative	negative	ADJ
ap-7699	285	43	,	,	PUNCT
ap-7699	285	44	then	then	ADV
ap-7699	285	45	one	one	NUM
ap-7699	285	46	meets	meet	VERB
ap-7699	285	47	non	non	ADJ
ap-7699	285	48	-	-	ADJ
ap-7699	285	49	trivial	trivial	ADJ
ap-7699	285	50	uv	uv	NOUN
ap-7699	285	51	divergences	divergence	NOUN
ap-7699	285	52	.	.	PUNCT
ap-7699	286	1	these	these	DET
ap-7699	286	2	infinities	infinity	NOUN
ap-7699	286	3	are	be	AUX
ap-7699	286	4	logarithmic	logarithmic	ADJ
ap-7699	286	5	in	in	ADP
ap-7699	286	6	the	the	DET
ap-7699	286	7	uv	uv	NOUN
ap-7699	286	8	cutoff	cutoff	NOUN
ap-7699	286	9	kuv	kuv	PROPN
ap-7699	286	10	for	for	ADP
ap-7699	286	11	loop	loop	NOUN
ap-7699	286	12	integration	integration	NOUN
ap-7699	286	13	momenta	momenta	NOUN
ap-7699	286	14	for	for	ADP
ap-7699	286	15	the	the	DET
ap-7699	286	16	degree	degree	NOUN
ap-7699	286	17	∆	∆	PROPN
ap-7699	286	18	vanishing	vanishing	NOUN
ap-7699	286	19	,	,	PUNCT
ap-7699	286	20	and	and	CCONJ
ap-7699	286	21	power	power	NOUN
ap-7699	286	22	-	-	PUNCT
ap-7699	286	23	law	law	NOUN
ap-7699	286	24	type	type	NOUN
ap-7699	286	25	for	for	ADP
ap-7699	286	26	the	the	DET
ap-7699	286	27	degree	degree	NOUN
ap-7699	286	28	∆	∆	PROPN
ap-7699	286	29	positive	positive	ADJ
ap-7699	286	30	.	.	PUNCT
ap-7699	287	1	this	this	DET
ap-7699	287	2	sharp	sharp	ADJ
ap-7699	287	3	distinction	distinction	NOUN
ap-7699	287	4	between	between	ADP
ap-7699	287	5	what	what	PRON
ap-7699	287	6	is	be	AUX
ap-7699	287	7	convergent	convergent	ADJ
ap-7699	287	8	and	and	CCONJ
ap-7699	287	9	what	what	PRON
ap-7699	287	10	is	be	AUX
ap-7699	287	11	divergent	divergent	ADJ
ap-7699	287	12	(	(	PUNCT
ap-7699	287	13	based	base	VERB
ap-7699	287	14	on	on	ADP
ap-7699	287	15	the	the	DET
ap-7699	287	16	non	non	NOUN
ap-7699	287	17	-	-	NOUN
ap-7699	287	18	negativity	negativity	NOUN
ap-7699	287	19	of	of	ADP
ap-7699	287	20	the	the	DET
ap-7699	287	21	degree	degree	NOUN
ap-7699	287	22	of	of	ADP
ap-7699	287	23	divergences	divergence	NOUN
ap-7699	287	24	∆	∆	PROPN
ap-7699	287	25	of	of	ADP
ap-7699	287	26	any	any	DET
ap-7699	287	27	diagram	diagram	NOUN
ap-7699	287	28	)	)	PUNCT
ap-7699	287	29	introduces	introduce	VERB
ap-7699	287	30	the	the	DET
ap-7699	287	31	discontinuity	discontinuity	NOUN
ap-7699	287	32	,	,	PUNCT
ap-7699	287	33	which	which	PRON
ap-7699	287	34	is	be	AUX
ap-7699	287	35	the	the	DET
ap-7699	287	36	main	main	ADJ
ap-7699	287	37	source	source	NOUN
ap-7699	287	38	of	of	ADP
ap-7699	287	39	the	the	DET
ap-7699	287	40	problems	problem	NOUN
ap-7699	287	41	here	here	ADV
ap-7699	287	42	.	.	PUNCT
ap-7699	288	1	in	in	ADP
ap-7699	288	2	this	this	DET
ap-7699	288	3	contribution	contribution	NOUN
ap-7699	288	4	,	,	PUNCT
ap-7699	288	5	we	we	PRON
ap-7699	288	6	mainly	mainly	ADV
ap-7699	288	7	discuss	discuss	VERB
ap-7699	288	8	and	and	CCONJ
ap-7699	288	9	analyze	analyze	VERB
ap-7699	288	10	the	the	DET
ap-7699	288	11	results	result	NOUN
ap-7699	288	12	which	which	PRON
ap-7699	288	13	were	be	AUX
ap-7699	288	14	first	first	ADV
ap-7699	288	15	obtained	obtain	VERB
ap-7699	288	16	in	in	ADP
ap-7699	288	17	our	our	PRON
ap-7699	288	18	recent	recent	ADJ
ap-7699	288	19	publication	publication	NOUN
ap-7699	288	20	[	[	X
ap-7699	288	21	26	26	NUM
ap-7699	288	22	]	]	PUNCT
ap-7699	288	23	.	.	PUNCT
ap-7699	289	1	the	the	DET
ap-7699	289	2	details	detail	NOUN
ap-7699	289	3	of	of	ADP
ap-7699	289	4	the	the	DET
ap-7699	289	5	methods	method	NOUN
ap-7699	289	6	used	use	VERB
ap-7699	289	7	to	to	PART
ap-7699	289	8	obtain	obtain	VERB
ap-7699	289	9	them	they	PRON
ap-7699	289	10	were	be	AUX
ap-7699	289	11	presented	present	VERB
ap-7699	289	12	to	to	ADP
ap-7699	289	13	some	some	DET
ap-7699	289	14	extent	extent	NOUN
ap-7699	289	15	in	in	ADP
ap-7699	289	16	this	this	DET
ap-7699	289	17	recent	recent	ADJ
ap-7699	289	18	article	article	NOUN
ap-7699	289	19	.	.	PUNCT
ap-7699	290	1	the	the	DET
ap-7699	290	2	method	method	NOUN
ap-7699	290	3	consists	consist	VERB
ap-7699	290	4	basically	basically	ADV
ap-7699	290	5	of	of	ADP
ap-7699	290	6	using	use	VERB
ap-7699	290	7	the	the	DET
ap-7699	290	8	barvinsky	barvinsky	ADJ
ap-7699	290	9	-	-	PUNCT
ap-7699	290	10	vilkovisky	vilkovisky	NOUN
ap-7699	290	11	trace	trace	NOUN
ap-7699	290	12	technology	technology	NOUN
ap-7699	290	13	[	[	X
ap-7699	290	14	27	27	NUM
ap-7699	290	15	]	]	PUNCT
ap-7699	290	16	applied	apply	VERB
ap-7699	290	17	to	to	PART
ap-7699	290	18	compute	compute	VERB
ap-7699	290	19	functional	functional	ADJ
ap-7699	290	20	traces	trace	NOUN
ap-7699	290	21	of	of	ADP
ap-7699	290	22	differential	differential	ADJ
ap-7699	290	23	operators	operator	NOUN
ap-7699	290	24	giving	give	VERB
ap-7699	290	25	the	the	DET
ap-7699	290	26	expression	expression	NOUN
ap-7699	290	27	for	for	ADP
ap-7699	290	28	the	the	DET
ap-7699	290	29	uv	uv	NOUN
ap-7699	290	30	-	-	PUNCT
ap-7699	290	31	divergent	divergent	ADJ
ap-7699	290	32	parts	part	NOUN
ap-7699	290	33	of	of	ADP
ap-7699	290	34	the	the	DET
ap-7699	290	35	effective	effective	ADJ
ap-7699	290	36	action	action	NOUN
ap-7699	290	37	at	at	ADP
ap-7699	290	38	the	the	DET
ap-7699	290	39	one	one	NUM
ap-7699	290	40	-	-	PUNCT
ap-7699	290	41	loop	loop	NOUN
ap-7699	290	42	level	level	NOUN
ap-7699	290	43	.	.	PUNCT
ap-7699	291	1	the	the	DET
ap-7699	291	2	main	main	ADJ
ap-7699	291	3	results	result	NOUN
ap-7699	291	4	were	be	AUX
ap-7699	291	5	obtained	obtain	VERB
ap-7699	291	6	in	in	ADP
ap-7699	291	7	background	background	NOUN
ap-7699	291	8	field	field	NOUN
ap-7699	291	9	method	method	NOUN
ap-7699	291	10	and	and	CCONJ
ap-7699	291	11	from	from	ADP
ap-7699	291	12	uv	uv	NOUN
ap-7699	291	13	divergences	divergence	NOUN
ap-7699	291	14	in	in	ADP
ap-7699	291	15	[	[	X
ap-7699	291	16	26	26	NUM
ap-7699	291	17	]	]	PUNCT
ap-7699	291	18	we	we	PRON
ap-7699	291	19	read	read	VERB
ap-7699	291	20	the	the	DET
ap-7699	291	21	beta	beta	NOUN
ap-7699	291	22	functions	function	NOUN
ap-7699	291	23	of	of	ADP
ap-7699	291	24	running	run	VERB
ap-7699	291	25	dimensionless	dimensionless	ADJ
ap-7699	291	26	gravitational	gravitational	ADJ
ap-7699	291	27	couplings	coupling	NOUN
ap-7699	291	28	.	.	PUNCT
ap-7699	292	1	the	the	DET
ap-7699	292	2	results	result	NOUN
ap-7699	292	3	for	for	ADP
ap-7699	292	4	them	they	PRON
ap-7699	292	5	in	in	ADP
ap-7699	292	6	six	six	NUM
ap-7699	292	7	-	-	PUNCT
ap-7699	292	8	derivative	derivative	ADJ
ap-7699	292	9	gravitational	gravitational	ADJ
ap-7699	292	10	theory	theory	NOUN
ap-7699	292	11	in	in	ADP
ap-7699	292	12	d	d	PROPN
ap-7699	292	13	=	=	SYM
ap-7699	292	14	4	4	NUM
ap-7699	292	15	spacetime	spacetime	NOUN
ap-7699	292	16	dimensions	dimension	NOUN
ap-7699	292	17	were	be	AUX
ap-7699	292	18	the	the	DET
ap-7699	292	19	main	main	ADJ
ap-7699	292	20	results	result	NOUN
ap-7699	292	21	there	there	ADV
ap-7699	292	22	.	.	PUNCT
ap-7699	293	1	they	they	PRON
ap-7699	293	2	are	be	AUX
ap-7699	293	3	also	also	ADV
ap-7699	293	4	described	describe	VERB
ap-7699	293	5	in	in	ADP
ap-7699	293	6	section	section	NOUN
ap-7699	293	7	2	2	NUM
ap-7699	293	8	here	here	ADV
ap-7699	293	9	.	.	PUNCT
ap-7699	294	1	instead	instead	ADV
ap-7699	294	2	,	,	PUNCT
ap-7699	294	3	in	in	ADP
ap-7699	294	4	the	the	DET
ap-7699	294	5	present	present	ADJ
ap-7699	294	6	contribution	contribution	NOUN
ap-7699	294	7	,	,	PUNCT
ap-7699	294	8	we	we	PRON
ap-7699	294	9	decided	decide	VERB
ap-7699	294	10	to	to	PART
ap-7699	294	11	include	include	VERB
ap-7699	294	12	an	an	DET
ap-7699	294	13	extended	extended	ADJ
ap-7699	294	14	discussion	discussion	NOUN
ap-7699	294	15	of	of	ADP
ap-7699	294	16	the	the	DET
ap-7699	294	17	theoretical	theoretical	ADJ
ap-7699	294	18	checks	check	NOUN
ap-7699	294	19	done	do	VERB
ap-7699	294	20	on	on	ADP
ap-7699	294	21	these	these	DET
ap-7699	294	22	results	result	NOUN
ap-7699	294	23	in	in	ADP
ap-7699	294	24	section	section	NOUN
ap-7699	294	25	3	3	NUM
ap-7699	294	26	.	.	PUNCT
ap-7699	295	1	however	however	ADV
ap-7699	295	2	,	,	PUNCT
ap-7699	295	3	the	the	DET
ap-7699	295	4	main	main	ADJ
ap-7699	295	5	novel	novel	NOUN
ap-7699	295	6	contribution	contribution	NOUN
ap-7699	295	7	is	be	AUX
ap-7699	295	8	in	in	ADP
ap-7699	295	9	section	section	NOUN
ap-7699	295	10	4	4	NUM
ap-7699	295	11	,	,	PUNCT
ap-7699	295	12	where	where	SCONJ
ap-7699	295	13	we	we	PRON
ap-7699	295	14	present	present	VERB
ap-7699	295	15	the	the	DET
ap-7699	295	16	analysis	analysis	NOUN
ap-7699	295	17	of	of	ADP
ap-7699	295	18	the	the	DET
ap-7699	295	19	structure	structure	NOUN
ap-7699	295	20	of	of	ADP
ap-7699	295	21	these	these	PRON
ap-7699	295	22	obtained	obtain	VERB
ap-7699	295	23	results	result	NOUN
ap-7699	295	24	for	for	ADP
ap-7699	295	25	the	the	DET
ap-7699	295	26	beta	beta	NOUN
ap-7699	295	27	functions	function	NOUN
ap-7699	295	28	.	.	PUNCT
ap-7699	296	1	our	our	PRON
ap-7699	296	2	main	main	ADJ
ap-7699	296	3	goal	goal	NOUN
ap-7699	296	4	here	here	ADV
ap-7699	296	5	is	be	AUX
ap-7699	296	6	to	to	PART
ap-7699	296	7	show	show	VERB
ap-7699	296	8	an	an	DET
ap-7699	296	9	argumentation	argumentation	NOUN
ap-7699	296	10	that	that	PRON
ap-7699	296	11	provides	provide	VERB
ap-7699	296	12	an	an	DET
ap-7699	296	13	explanation	explanation	NOUN
ap-7699	296	14	why	why	SCONJ
ap-7699	296	15	the	the	DET
ap-7699	296	16	structure	structure	NOUN
ap-7699	296	17	of	of	ADP
ap-7699	296	18	the	the	DET
ap-7699	296	19	beta	beta	NOUN
ap-7699	296	20	function	function	NOUN
ap-7699	296	21	is	be	AUX
ap-7699	296	22	unique	unique	ADJ
ap-7699	296	23	and	and	CCONJ
ap-7699	296	24	why	why	SCONJ
ap-7699	296	25	it	it	PRON
ap-7699	296	26	depends	depend	VERB
ap-7699	296	27	in	in	ADP
ap-7699	296	28	this	this	DET
ap-7699	296	29	particular	particular	ADJ
ap-7699	296	30	form	form	NOUN
ap-7699	296	31	on	on	ADP
ap-7699	296	32	the	the	DET
ap-7699	296	33	ratio	ratio	NOUN
ap-7699	296	34	x	x	PUNCT
ap-7699	296	35	(	(	PUNCT
ap-7699	296	36	to	to	PART
ap-7699	296	37	be	be	AUX
ap-7699	296	38	defined	define	VERB
ap-7699	296	39	later	later	ADV
ap-7699	296	40	in	in	ADP
ap-7699	296	41	the	the	DET
ap-7699	296	42	main	main	ADJ
ap-7699	296	43	text	text	NOUN
ap-7699	296	44	in	in	ADP
ap-7699	296	45	(	(	PUNCT
ap-7699	296	46	36	36	NUM
ap-7699	296	47	)	)	PUNCT
ap-7699	296	48	)	)	PUNCT
ap-7699	296	49	.	.	PUNCT
ap-7699	297	1	these	these	DET
ap-7699	297	2	comments	comment	NOUN
ap-7699	297	3	were	be	AUX
ap-7699	297	4	not	not	PART
ap-7699	297	5	initially	initially	ADV
ap-7699	297	6	included	include	VERB
ap-7699	297	7	in	in	ADP
ap-7699	297	8	the	the	DET
ap-7699	297	9	main	main	ADJ
ap-7699	297	10	research	research	NOUN
ap-7699	297	11	article	article	NOUN
ap-7699	297	12	[	[	X
ap-7699	297	13	26	26	NUM
ap-7699	297	14	]	]	PUNCT
ap-7699	297	15	and	and	CCONJ
ap-7699	297	16	they	they	PRON
ap-7699	297	17	constitute	constitute	VERB
ap-7699	297	18	the	the	DET
ap-7699	297	19	main	main	ADJ
ap-7699	297	20	new	new	ADJ
ap-7699	297	21	development	development	NOUN
ap-7699	297	22	of	of	ADP
ap-7699	297	23	the	the	DET
ap-7699	297	24	present	present	ADJ
ap-7699	297	25	paper	paper	NOUN
ap-7699	297	26	.	.	PUNCT
ap-7699	298	1	we	we	PRON
ap-7699	298	2	remind	remind	VERB
ap-7699	298	3	to	to	ADP
ap-7699	298	4	the	the	DET
ap-7699	298	5	reader	reader	NOUN
ap-7699	298	6	that	that	SCONJ
ap-7699	298	7	in	in	ADP
ap-7699	298	8	this	this	DET
ap-7699	298	9	paper	paper	NOUN
ap-7699	298	10	,	,	PUNCT
ap-7699	298	11	in	in	ADP
ap-7699	298	12	particular	particular	ADJ
ap-7699	298	13	,	,	PUNCT
ap-7699	298	14	we	we	PRON
ap-7699	298	15	will	will	AUX
ap-7699	298	16	spend	spend	VERB
ap-7699	298	17	some	some	DET
ap-7699	298	18	time	time	NOUN
ap-7699	298	19	on	on	ADP
ap-7699	298	20	attempts	attempt	NOUN
ap-7699	298	21	to	to	PART
ap-7699	298	22	explain	explain	VERB
ap-7699	298	23	the	the	DET
ap-7699	298	24	discontinuity	discontinuity	NOUN
ap-7699	298	25	of	of	ADP
ap-7699	298	26	such	such	ADJ
ap-7699	298	27	results	result	NOUN
ap-7699	298	28	for	for	ADP
ap-7699	298	29	uv	uv	NOUN
ap-7699	298	30	divergences	divergence	NOUN
ap-7699	298	31	,	,	PUNCT
ap-7699	298	32	when	when	SCONJ
ap-7699	298	33	one	one	PRON
ap-7699	298	34	goes	go	VERB
ap-7699	298	35	from	from	ADP
ap-7699	298	36	sixto	sixto	PROPN
ap-7699	298	37	four	four	NUM
ap-7699	298	38	-	-	PUNCT
ap-7699	298	39	derivative	derivative	ADJ
ap-7699	298	40	gravitational	gravitational	ADJ
ap-7699	298	41	theories	theory	NOUN
ap-7699	298	42	.	.	PUNCT
ap-7699	299	1	so	so	ADV
ap-7699	299	2	,	,	PUNCT
ap-7699	299	3	in	in	ADP
ap-7699	299	4	other	other	ADJ
ap-7699	299	5	words	word	NOUN
ap-7699	299	6	,	,	PUNCT
ap-7699	299	7	when	when	SCONJ
ap-7699	299	8	one	one	PRON
ap-7699	299	9	reduces	reduce	VERB
ap-7699	299	10	3	3	NUM
ap-7699	299	11	-	-	PUNCT
ap-7699	299	12	loop	loop	NOUN
ap-7699	299	13	super	super	NOUN
ap-7699	299	14	-	-	NOUN
ap-7699	299	15	renormalizability	renormalizability	NOUN
ap-7699	299	16	to	to	ADP
ap-7699	299	17	just	just	ADV
ap-7699	299	18	renormalizability	renormalizability	NOUN
ap-7699	299	19	.	.	PUNCT
ap-7699	300	1	or	or	CCONJ
ap-7699	300	2	equivalently	equivalently	ADV
ap-7699	300	3	,	,	PUNCT
ap-7699	300	4	when	when	SCONJ
ap-7699	300	5	the	the	DET
ap-7699	300	6	situation	situation	NOUN
ap-7699	300	7	at	at	ADP
ap-7699	300	8	the	the	DET
ap-7699	300	9	fourth	fourth	ADJ
ap-7699	300	10	perturbative	perturbative	ADJ
ap-7699	300	11	loop	loop	NOUN
ap-7699	300	12	gets	get	AUX
ap-7699	300	13	modified	modify	VERB
ap-7699	300	14	from	from	ADP
ap-7699	300	15	not	not	PART
ap-7699	300	16	having	have	VERB
ap-7699	300	17	divergences	divergence	NOUN
ap-7699	300	18	at	at	ADV
ap-7699	300	19	all	all	ADV
ap-7699	300	20	,	,	PUNCT
ap-7699	300	21	because	because	SCONJ
ap-7699	300	22	all	all	DET
ap-7699	300	23	loop	loop	NOUN
ap-7699	300	24	integrations	integration	NOUN
ap-7699	300	25	give	give	VERB
ap-7699	300	26	convergent	convergent	NOUN
ap-7699	300	27	results	result	NOUN
ap-7699	300	28	(	(	PUNCT
ap-7699	300	29	with	with	ADP
ap-7699	300	30	negative	negative	ADJ
ap-7699	300	31	superficial	superficial	ADJ
ap-7699	300	32	degree	degree	NOUN
ap-7699	300	33	∆	∆	X
ap-7699	300	34	<	<	X
ap-7699	300	35	0	0	NUM
ap-7699	300	36	)	)	PUNCT
ap-7699	300	37	,	,	PUNCT
ap-7699	300	38	to	to	ADP
ap-7699	300	39	the	the	DET
ap-7699	300	40	situation	situation	NOUN
ap-7699	300	41	when	when	SCONJ
ap-7699	300	42	at	at	ADP
ap-7699	300	43	this	this	DET
ap-7699	300	44	loop	loop	NOUN
ap-7699	300	45	level	level	NOUN
ap-7699	300	46	still	still	ADV
ap-7699	300	47	uv	uv	NOUN
ap-7699	300	48	divergences	divergence	NOUN
ap-7699	300	49	are	be	AUX
ap-7699	300	50	present	present	ADJ
ap-7699	300	51	(	(	PUNCT
ap-7699	300	52	since	since	SCONJ
ap-7699	300	53	their	their	PRON
ap-7699	300	54	degree	degree	NOUN
ap-7699	300	55	∆	∆	PROPN
ap-7699	300	56	is	be	AUX
ap-7699	300	57	zero	zero	NUM
ap-7699	300	58	for	for	ADP
ap-7699	300	59	logarithmic	logarithmic	ADJ
ap-7699	300	60	uv	uv	NOUN
ap-7699	300	61	divergences	divergence	NOUN
ap-7699	300	62	in	in	ADP
ap-7699	300	63	the	the	DET
ap-7699	300	64	cutoff	cutoff	NOUN
ap-7699	300	65	)	)	PUNCT
ap-7699	300	66	.	.	PUNCT
ap-7699	301	1	this	this	DET
ap-7699	301	2	clearly	clearly	ADV
ap-7699	301	3	sharp	sharp	ADJ
ap-7699	301	4	contrast	contrast	NOUN
ap-7699	301	5	in	in	ADP
ap-7699	301	6	the	the	DET
ap-7699	301	7	sign	sign	NOUN
ap-7699	301	8	of	of	ADP
ap-7699	301	9	the	the	DET
ap-7699	301	10	superficial	superficial	ADJ
ap-7699	301	11	degree	degree	NOUN
ap-7699	301	12	of	of	ADP
ap-7699	301	13	divergences	divergence	NOUN
ap-7699	301	14	is	be	AUX
ap-7699	301	15	one	one	NUM
ap-7699	301	16	of	of	ADP
ap-7699	301	17	the	the	DET
ap-7699	301	18	reasons	reason	NOUN
ap-7699	301	19	,	,	PUNCT
ap-7699	301	20	why	why	SCONJ
ap-7699	301	21	the	the	DET
ap-7699	301	22	discontinuity	discontinuity	NOUN
ap-7699	301	23	between	between	ADP
ap-7699	301	24	the	the	DET
ap-7699	301	25	cases	case	NOUN
ap-7699	301	26	of	of	ADP
ap-7699	301	27	sixand	sixand	NOUN
ap-7699	301	28	four	four	NUM
ap-7699	301	29	-	-	PUNCT
ap-7699	301	30	derivative	derivative	ADJ
ap-7699	301	31	gravitational	gravitational	ADJ
ap-7699	301	32	theories	theory	NOUN
ap-7699	301	33	in	in	ADP
ap-7699	301	34	d	d	PROPN
ap-7699	301	35	=	=	SYM
ap-7699	301	36	4	4	NUM
ap-7699	301	37	persists	persist	VERB
ap-7699	301	38	.	.	PUNCT
ap-7699	302	1	1.2	1.2	NUM
ap-7699	302	2	.	.	PUNCT
ap-7699	302	3	addition	addition	NOUN
ap-7699	302	4	of	of	ADP
ap-7699	302	5	killer	killer	NOUN
ap-7699	302	6	operators	operator	NOUN
ap-7699	302	7	as	as	ADP
ap-7699	302	8	a	a	DET
ap-7699	302	9	matter	matter	NOUN
ap-7699	302	10	of	of	ADP
ap-7699	302	11	fact	fact	NOUN
ap-7699	302	12	,	,	PUNCT
ap-7699	302	13	we	we	PRON
ap-7699	302	14	can	can	AUX
ap-7699	302	15	also	also	ADV
ap-7699	302	16	add	add	VERB
ap-7699	302	17	other	other	ADJ
ap-7699	302	18	terms	term	NOUN
ap-7699	302	19	(	(	PUNCT
ap-7699	302	20	cubic	cubic	ADJ
ap-7699	302	21	in	in	ADP
ap-7699	302	22	gravitational	gravitational	ADJ
ap-7699	302	23	curvatures	curvature	NOUN
ap-7699	302	24	r3	r3	NOUN
ap-7699	302	25	)	)	PUNCT
ap-7699	302	26	to	to	ADP
ap-7699	302	27	the	the	DET
ap-7699	302	28	lagrangian	lagrangian	NOUN
ap-7699	302	29	in	in	ADP
ap-7699	302	30	(	(	PUNCT
ap-7699	302	31	6	6	NUM
ap-7699	302	32	)	)	PUNCT
ap-7699	302	33	.	.	PUNCT
ap-7699	303	1	these	these	DET
ap-7699	303	2	terms	term	NOUN
ap-7699	303	3	again	again	ADV
ap-7699	303	4	will	will	AUX
ap-7699	303	5	come	come	VERB
ap-7699	303	6	with	with	ADP
ap-7699	303	7	the	the	DET
ap-7699	303	8	coefficients	coefficient	NOUN
ap-7699	303	9	of	of	ADP
ap-7699	303	10	the	the	DET
ap-7699	303	11	highest	high	ADJ
ap-7699	303	12	energy	energy	NOUN
ap-7699	303	13	dimensionality	dimensionality	NOUN
ap-7699	303	14	,	,	PUNCT
ap-7699	303	15	equal	equal	ADJ
ap-7699	303	16	to	to	ADP
ap-7699	303	17	the	the	DET
ap-7699	303	18	dimensionality	dimensionality	NOUN
ap-7699	303	19	of	of	ADP
ap-7699	303	20	the	the	DET
ap-7699	303	21	coefficients	coefficient	NOUN
ap-7699	303	22	ωc	ωc	ADP
ap-7699	303	23	and	and	CCONJ
ap-7699	303	24	ωr	ωr	ADJ
ap-7699	303	25	.	.	PUNCT
ap-7699	304	1	hence	hence	ADV
ap-7699	304	2	they	they	PRON
ap-7699	304	3	could	could	AUX
ap-7699	304	4	contribute	contribute	VERB
ap-7699	304	5	to	to	ADP
ap-7699	304	6	the	the	DET
ap-7699	304	7	leading	lead	VERB
ap-7699	304	8	fourderivative	fourderivative	ADJ
ap-7699	304	9	terms	term	NOUN
ap-7699	304	10	with	with	ADP
ap-7699	304	11	uv	uv	NOUN
ap-7699	304	12	divergences	divergence	NOUN
ap-7699	304	13	of	of	ADP
ap-7699	304	14	the	the	DET
ap-7699	304	15	theory	theory	NOUN
ap-7699	304	16	.	.	PUNCT
ap-7699	305	1	the	the	DET
ap-7699	305	2	general	general	ADJ
ap-7699	305	3	form	form	NOUN
ap-7699	305	4	of	of	ADP
ap-7699	305	5	them	they	PRON
ap-7699	305	6	is	be	AUX
ap-7699	305	7	given	give	VERB
ap-7699	305	8	by	by	ADP
ap-7699	305	9	the	the	DET
ap-7699	305	10	following	follow	VERB
ap-7699	305	11	list	list	NOUN
ap-7699	305	12	of	of	ADP
ap-7699	305	13	six	six	NUM
ap-7699	305	14	gr	gr	NUM
ap-7699	305	15	-	-	PUNCT
ap-7699	305	16	covariant	covariant	NOUN
ap-7699	305	17	terms	term	NOUN
ap-7699	305	18	lr3	lr3	X
ap-7699	305	19	=	=	SYM
ap-7699	306	1	s1r3	s1r3	NOUN
ap-7699	306	2	+	+	CCONJ
ap-7699	306	3	s2rrµνrµν	s2rrµνrµν	PROPN
ap-7699	306	4	+	+	CCONJ
ap-7699	306	5	s3rµνrµ	s3rµνrµ	ADJ
ap-7699	306	6	ρrνρ	ρrνρ	NOUN
ap-7699	306	7	+	+	CCONJ
ap-7699	306	8	s4rrµνρσrµνρσ	s4rrµνρσrµνρσ	PROPN
ap-7699	306	9	+	+	CCONJ
ap-7699	306	10	s5rµνrρσrµρνσ	s5rµνrρσrµρνσ	PROPN
ap-7699	306	11	+	+	CCONJ
ap-7699	306	12	s6rµνρσrµν	s6rµνρσrµν	ADV
ap-7699	306	13	κλrρσκλ	κλrρσκλ	ADV
ap-7699	306	14	.	.	PUNCT
ap-7699	307	1	(	(	PUNCT
ap-7699	307	2	11	11	NUM
ap-7699	307	3	)	)	PUNCT
ap-7699	307	4	actually	actually	ADV
ap-7699	307	5	,	,	PUNCT
ap-7699	307	6	these	these	DET
ap-7699	307	7	terms	term	NOUN
ap-7699	307	8	can	can	AUX
ap-7699	307	9	be	be	AUX
ap-7699	307	10	very	very	ADV
ap-7699	307	11	essential	essential	ADJ
ap-7699	307	12	for	for	ADP
ap-7699	307	13	making	make	VERB
ap-7699	307	14	the	the	DET
ap-7699	307	15	gravitational	gravitational	ADJ
ap-7699	307	16	theory	theory	NOUN
ap-7699	307	17	with	with	ADP
ap-7699	307	18	six	six	NUM
ap-7699	307	19	-	-	PUNCT
ap-7699	307	20	derivative	derivative	ADJ
ap-7699	307	21	actions	action	NOUN
ap-7699	307	22	completely	completely	ADV
ap-7699	307	23	uv	uv	NOUN
ap-7699	307	24	-	-	PUNCT
ap-7699	307	25	finite	finite	NOUN
ap-7699	307	26	.	.	PUNCT
ap-7699	308	1	however	however	ADV
ap-7699	308	2	,	,	PUNCT
ap-7699	308	3	for	for	ADP
ap-7699	308	4	renormalizability	renormalizability	NOUN
ap-7699	308	5	or	or	CCONJ
ap-7699	308	6	super	super	ADJ
ap-7699	308	7	-	-	ADJ
ap-7699	308	8	renormalizability	renormalizability	ADJ
ap-7699	308	9	properties	property	NOUN
ap-7699	308	10	these	these	DET
ap-7699	308	11	terms	term	NOUN
ap-7699	308	12	are	be	AUX
ap-7699	308	13	not	not	PART
ap-7699	308	14	necessary	necessary	ADJ
ap-7699	308	15	,	,	PUNCT
ap-7699	308	16	e.g.	e.g.	ADV
ap-7699	308	17	,	,	PUNCT
ap-7699	308	18	they	they	PRON
ap-7699	308	19	do	do	AUX
ap-7699	308	20	not	not	PART
ap-7699	308	21	make	make	VERB
ap-7699	308	22	impact	impact	NOUN
ap-7699	308	23	on	on	ADP
ap-7699	308	24	the	the	DET
ap-7699	308	25	renormalizability	renormalizability	NOUN
ap-7699	308	26	of	of	ADP
ap-7699	308	27	the	the	DET
ap-7699	308	28	theory	theory	NOUN
ap-7699	308	29	and	and	CCONJ
ap-7699	308	30	therefore	therefore	ADV
ap-7699	308	31	should	should	AUX
ap-7699	308	32	be	be	AUX
ap-7699	308	33	regarded	regard	VERB
ap-7699	308	34	as	as	ADP
ap-7699	308	35	non	non	ADJ
ap-7699	308	36	-	-	ADJ
ap-7699	308	37	minimal	minimal	ADJ
ap-7699	308	38	.	.	PUNCT
ap-7699	309	1	in	in	ADP
ap-7699	309	2	the	the	DET
ap-7699	309	3	analysis	analysis	NOUN
ap-7699	309	4	below	below	ADP
ap-7699	309	5	we	we	PRON
ap-7699	309	6	did	do	AUX
ap-7699	309	7	not	not	PART
ap-7699	309	8	take	take	VERB
ap-7699	309	9	their	their	PRON
ap-7699	309	10	contributions	contribution	NOUN
ap-7699	309	11	into	into	ADP
ap-7699	309	12	account	account	NOUN
ap-7699	309	13	and	and	CCONJ
ap-7699	309	14	made	make	VERB
ap-7699	309	15	already	already	ADV
ap-7699	309	16	a	a	DET
ap-7699	309	17	technically	technically	ADV
ap-7699	309	18	demanding	demanding	ADJ
ap-7699	309	19	computation	computation	NOUN
ap-7699	309	20	in	in	ADP
ap-7699	309	21	a	a	DET
ap-7699	309	22	simplest	simple	ADJ
ap-7699	309	23	minimal	minimal	ADJ
ap-7699	309	24	model	model	NOUN
ap-7699	309	25	with	with	ADP
ap-7699	309	26	six	six	NUM
ap-7699	309	27	-	-	PUNCT
ap-7699	309	28	derivative	derivative	ADJ
ap-7699	309	29	actions	action	NOUN
ap-7699	309	30	.	.	PUNCT
ap-7699	310	1	the	the	DET
ap-7699	310	2	set	set	NOUN
ap-7699	310	3	of	of	ADP
ap-7699	310	4	terms	term	NOUN
ap-7699	310	5	in	in	ADP
ap-7699	310	6	(	(	PUNCT
ap-7699	310	7	11	11	NUM
ap-7699	310	8	)	)	PUNCT
ap-7699	310	9	is	be	AUX
ap-7699	310	10	complete	complete	ADJ
ap-7699	310	11	in	in	ADP
ap-7699	310	12	d	d	PROPN
ap-7699	310	13	=	=	SYM
ap-7699	310	14	4	4	NUM
ap-7699	310	15	for	for	ADP
ap-7699	310	16	all	all	DET
ap-7699	310	17	126	126	NUM
ap-7699	310	18	vol	vol	NOUN
ap-7699	310	19	.	.	PUNCT
ap-7699	311	1	62	62	NUM
ap-7699	311	2	no	no	INTJ
ap-7699	311	3	.	.	PUNCT
ap-7699	312	1	1/2022	1/2022	NUM
ap-7699	312	2	beta	beta	NOUN
ap-7699	312	3	functions	function	NOUN
ap-7699	312	4	in	in	ADP
ap-7699	312	5	six	six	NUM
ap-7699	312	6	-	-	PUNCT
ap-7699	312	7	derivative	derivative	ADJ
ap-7699	312	8	quantum	quantum	NOUN
ap-7699	312	9	gravity	gravity	NOUN
ap-7699	312	10	what	what	PRON
ap-7699	312	11	regards	regard	VERB
ap-7699	312	12	terms	term	NOUN
ap-7699	312	13	cubic	cubic	ADJ
ap-7699	312	14	in	in	ADP
ap-7699	312	15	gravitational	gravitational	ADJ
ap-7699	312	16	curvatures	curvature	NOUN
ap-7699	312	17	.	.	PUNCT
ap-7699	313	1	this	this	DET
ap-7699	313	2	non	non	ADJ
ap-7699	313	3	-	-	ADJ
ap-7699	313	4	trivial	trivial	ADJ
ap-7699	313	5	statement	statement	NOUN
ap-7699	313	6	is	be	AUX
ap-7699	313	7	due	due	ADJ
ap-7699	313	8	to	to	ADP
ap-7699	313	9	various	various	ADJ
ap-7699	313	10	identities	identity	NOUN
ap-7699	313	11	as	as	SCONJ
ap-7699	313	12	proven	prove	VERB
ap-7699	313	13	in	in	ADP
ap-7699	313	14	[	[	X
ap-7699	313	15	28	28	NUM
ap-7699	313	16	]	]	PUNCT
ap-7699	313	17	.	.	PUNCT
ap-7699	314	1	these	these	DET
ap-7699	314	2	cubic	cubic	ADJ
ap-7699	314	3	terms	term	NOUN
ap-7699	314	4	are	be	AUX
ap-7699	314	5	also	also	ADV
ap-7699	314	6	sometimes	sometimes	ADV
ap-7699	314	7	called	call	VERB
ap-7699	314	8	“	"	PUNCT
ap-7699	314	9	killers	killer	NOUN
ap-7699	314	10	”	"	PUNCT
ap-7699	314	11	of	of	ADP
ap-7699	314	12	the	the	DET
ap-7699	314	13	beta	beta	NOUN
ap-7699	314	14	functions	function	NOUN
ap-7699	314	15	since	since	SCONJ
ap-7699	314	16	they	they	PRON
ap-7699	314	17	may	may	AUX
ap-7699	314	18	have	have	VERB
ap-7699	314	19	profound	profound	ADJ
ap-7699	314	20	effects	effect	NOUN
ap-7699	314	21	on	on	ADP
ap-7699	314	22	the	the	DET
ap-7699	314	23	form	form	NOUN
ap-7699	314	24	of	of	ADP
ap-7699	314	25	the	the	DET
ap-7699	314	26	beta	beta	NOUN
ap-7699	314	27	functions	function	NOUN
ap-7699	314	28	of	of	ADP
ap-7699	314	29	all	all	DET
ap-7699	314	30	terms	term	NOUN
ap-7699	314	31	in	in	ADP
ap-7699	314	32	the	the	DET
ap-7699	314	33	theory	theory	NOUN
ap-7699	314	34	.	.	PUNCT
ap-7699	315	1	this	this	PRON
ap-7699	315	2	is	be	AUX
ap-7699	315	3	roughly	roughly	ADV
ap-7699	315	4	very	very	ADV
ap-7699	315	5	simple	simple	ADJ
ap-7699	315	6	to	to	PART
ap-7699	315	7	explain	explain	VERB
ap-7699	315	8	.	.	PUNCT
ap-7699	316	1	these	these	DET
ap-7699	316	2	killer	killer	NOUN
ap-7699	316	3	terms	term	NOUN
ap-7699	316	4	are	be	AUX
ap-7699	316	5	generally	generally	ADV
ap-7699	316	6	of	of	ADP
ap-7699	316	7	the	the	DET
ap-7699	316	8	type	type	NOUN
ap-7699	316	9	sr3	sr3	PROPN
ap-7699	316	10	and	and	CCONJ
ap-7699	316	11	are	be	AUX
ap-7699	316	12	to	to	PART
ap-7699	316	13	be	be	AUX
ap-7699	316	14	added	add	VERB
ap-7699	316	15	to	to	ADP
ap-7699	316	16	the	the	DET
ap-7699	316	17	original	original	ADJ
ap-7699	316	18	lagrangian	lagrangian	NOUN
ap-7699	316	19	in	in	ADP
ap-7699	316	20	(	(	PUNCT
ap-7699	316	21	6	6	NUM
ap-7699	316	22	)	)	PUNCT
ap-7699	316	23	of	of	ADP
ap-7699	316	24	six	six	NUM
ap-7699	316	25	-	-	PUNCT
ap-7699	316	26	derivative	derivative	ADJ
ap-7699	316	27	theories	theory	NOUN
ap-7699	316	28	,	,	PUNCT
ap-7699	316	29	where	where	SCONJ
ap-7699	316	30	the	the	DET
ap-7699	316	31	uv	uv	NOUN
ap-7699	316	32	-	-	PUNCT
ap-7699	316	33	leading	lead	VERB
ap-7699	316	34	terms	term	NOUN
ap-7699	316	35	were	be	AUX
ap-7699	316	36	of	of	ADP
ap-7699	316	37	the	the	DET
ap-7699	316	38	type	type	NOUN
ap-7699	316	39	ωr	ωr	NOUN
ap-7699	316	40	□	□	PROPN
ap-7699	316	41	r.	r.	NOUN
ap-7699	316	42	it	it	PRON
ap-7699	316	43	is	be	AUX
ap-7699	316	44	well	well	ADV
ap-7699	316	45	known	know	VERB
ap-7699	316	46	that	that	SCONJ
ap-7699	316	47	to	to	PART
ap-7699	316	48	extract	extract	VERB
ap-7699	316	49	uv	uv	NOUN
ap-7699	316	50	divergences	divergence	NOUN
ap-7699	316	51	at	at	ADP
ap-7699	316	52	the	the	DET
ap-7699	316	53	one	one	NUM
ap-7699	316	54	-	-	PUNCT
ap-7699	316	55	loop	loop	NOUN
ap-7699	316	56	level	level	NOUN
ap-7699	316	57	one	one	PRON
ap-7699	316	58	has	have	VERB
ap-7699	316	59	to	to	PART
ap-7699	316	60	compute	compute	VERB
ap-7699	316	61	the	the	DET
ap-7699	316	62	second	second	ADJ
ap-7699	316	63	variational	variational	ADJ
ap-7699	316	64	derivative	derivative	ADJ
ap-7699	316	65	operator	operator	NOUN
ap-7699	316	66	(	(	PUNCT
ap-7699	316	67	hessian	hessian	NOUN
ap-7699	316	68	ĥ	ĥ	NOUN
ap-7699	316	69	)	)	PUNCT
ap-7699	316	70	from	from	ADP
ap-7699	316	71	the	the	DET
ap-7699	316	72	full	full	ADJ
ap-7699	316	73	action	action	NOUN
ap-7699	316	74	.	.	PUNCT
ap-7699	317	1	the	the	DET
ap-7699	317	2	contributions	contribution	NOUN
ap-7699	317	3	from	from	ADP
ap-7699	317	4	cubic	cubic	ADJ
ap-7699	317	5	killers	killer	NOUN
ap-7699	317	6	to	to	ADP
ap-7699	317	7	it	it	PRON
ap-7699	317	8	will	will	AUX
ap-7699	317	9	be	be	AUX
ap-7699	317	10	of	of	ADP
ap-7699	317	11	the	the	DET
ap-7699	317	12	form	form	NOUN
ap-7699	317	13	of	of	ADP
ap-7699	317	14	at	at	ADP
ap-7699	317	15	least	least	ADJ
ap-7699	317	16	sr	sr	PROPN
ap-7699	317	17	,	,	PUNCT
ap-7699	317	18	when	when	SCONJ
ap-7699	317	19	counted	count	VERB
ap-7699	317	20	in	in	ADP
ap-7699	317	21	powers	power	NOUN
ap-7699	317	22	of	of	ADP
ap-7699	317	23	generalized	generalized	ADJ
ap-7699	317	24	curvature	curvature	NOUN
ap-7699	317	25	r.	r.	PROPN
ap-7699	317	26	next	next	ADV
ap-7699	317	27	,	,	PUNCT
ap-7699	317	28	when	when	SCONJ
ap-7699	317	29	computing	compute	VERB
ap-7699	317	30	the	the	DET
ap-7699	317	31	trace	trace	NOUN
ap-7699	317	32	of	of	ADP
ap-7699	317	33	the	the	DET
ap-7699	317	34	functional	functional	ADJ
ap-7699	317	35	logarithm	logarithm	NOUN
ap-7699	317	36	of	of	ADP
ap-7699	317	37	the	the	DET
ap-7699	317	38	hessian	hessian	ADJ
ap-7699	317	39	operator	operator	NOUN
ap-7699	317	40	for	for	ADP
ap-7699	317	41	the	the	DET
ap-7699	317	42	form	form	NOUN
ap-7699	317	43	of	of	ADP
ap-7699	317	44	the	the	DET
ap-7699	317	45	one	one	NUM
ap-7699	317	46	-	-	PUNCT
ap-7699	317	47	loop	loop	NOUN
ap-7699	317	48	uv	uv	NOUN
ap-7699	317	49	-	-	PUNCT
ap-7699	317	50	divergent	divergent	ADJ
ap-7699	317	51	effective	effective	ADJ
ap-7699	317	52	action	action	NOUN
ap-7699	317	53	one	one	PRON
ap-7699	317	54	uses	use	VERB
ap-7699	317	55	the	the	DET
ap-7699	317	56	expansion	expansion	NOUN
ap-7699	317	57	of	of	ADP
ap-7699	317	58	the	the	DET
ap-7699	317	59	logarithm	logarithm	NOUN
ap-7699	317	60	in	in	ADP
ap-7699	317	61	a	a	DET
ap-7699	317	62	series	series	NOUN
ap-7699	317	63	according	accord	VERB
ap-7699	317	64	to	to	ADP
ap-7699	317	65	ln(1	ln(1	PROPN
ap-7699	317	66	+	+	CCONJ
ap-7699	317	67	z	z	NOUN
ap-7699	317	68	)	)	PUNCT
ap-7699	317	69	=	=	PUNCT
ap-7699	318	1	z	z	NOUN
ap-7699	318	2	−	−	NUM
ap-7699	318	3	1	1	NUM
ap-7699	318	4	2z2	2z2	NUM
ap-7699	318	5	+	+	PUNCT
ap-7699	318	6	.	.	PUNCT
ap-7699	318	7	.	.	PUNCT
ap-7699	318	8	.	.	PUNCT
ap-7699	318	9	.	.	PUNCT
ap-7699	319	1	(	(	PUNCT
ap-7699	319	2	12	12	NUM
ap-7699	319	3	)	)	PUNCT
ap-7699	319	4	hence	hence	ADV
ap-7699	319	5	we	we	PRON
ap-7699	319	6	need	need	VERB
ap-7699	319	7	to	to	PART
ap-7699	319	8	take	take	VERB
ap-7699	319	9	maybe	maybe	ADV
ap-7699	319	10	up	up	ADP
ap-7699	319	11	to	to	ADP
ap-7699	319	12	the	the	DET
ap-7699	319	13	square	square	NOUN
ap-7699	319	14	of	of	ADP
ap-7699	319	15	the	the	DET
ap-7699	319	16	contribution	contribution	NOUN
ap-7699	319	17	sr	sr	NOUN
ap-7699	319	18	to	to	ADP
ap-7699	319	19	the	the	DET
ap-7699	319	20	hessian	hessian	NOUN
ap-7699	319	21	from	from	ADP
ap-7699	319	22	the	the	DET
ap-7699	319	23	cubic	cubic	ADJ
ap-7699	319	24	killer	killer	NOUN
ap-7699	319	25	term	term	NOUN
ap-7699	319	26	.	.	PUNCT
ap-7699	320	1	the	the	DET
ap-7699	320	2	third	third	ADJ
ap-7699	320	3	power	power	NOUN
ap-7699	320	4	would	would	AUX
ap-7699	320	5	be	be	AUX
ap-7699	320	6	too	too	ADV
ap-7699	320	7	much	much	ADJ
ap-7699	320	8	.	.	PUNCT
ap-7699	321	1	we	we	PRON
ap-7699	321	2	must	must	AUX
ap-7699	321	3	remember	remember	VERB
ap-7699	321	4	that	that	SCONJ
ap-7699	321	5	we	we	PRON
ap-7699	321	6	are	be	AUX
ap-7699	321	7	looking	look	VERB
ap-7699	321	8	for	for	ADP
ap-7699	321	9	terms	term	NOUN
ap-7699	321	10	of	of	ADP
ap-7699	321	11	the	the	DET
ap-7699	321	12	general	general	ADJ
ap-7699	321	13	type	type	NOUN
ap-7699	321	14	r2	r2	PROPN
ap-7699	321	15	in	in	ADP
ap-7699	321	16	the	the	DET
ap-7699	321	17	uv	uv	NOUN
ap-7699	321	18	-	-	PUNCT
ap-7699	321	19	divergent	divergent	ADJ
ap-7699	321	20	part	part	NOUN
ap-7699	321	21	of	of	ADP
ap-7699	321	22	the	the	DET
ap-7699	321	23	effective	effective	ADJ
ap-7699	321	24	action	action	NOUN
ap-7699	321	25	.	.	PUNCT
ap-7699	322	1	hence	hence	ADV
ap-7699	322	2	the	the	DET
ap-7699	322	3	contribution	contribution	NOUN
ap-7699	322	4	of	of	ADP
ap-7699	322	5	the	the	DET
ap-7699	322	6	cubic	cubic	ADJ
ap-7699	322	7	killer	killer	NOUN
ap-7699	322	8	in	in	ADP
ap-7699	322	9	curvatures	curvature	NOUN
ap-7699	322	10	would	would	AUX
ap-7699	322	11	produce	produce	VERB
ap-7699	322	12	addition	addition	NOUN
ap-7699	322	13	to	to	ADP
ap-7699	322	14	the	the	DET
ap-7699	322	15	covariant	covariant	ADJ
ap-7699	322	16	terms	term	NOUN
ap-7699	322	17	with	with	ADP
ap-7699	322	18	uv	uv	NOUN
ap-7699	322	19	divergences	divergence	NOUN
ap-7699	322	20	of	of	ADP
ap-7699	322	21	the	the	DET
ap-7699	322	22	general	general	ADJ
ap-7699	322	23	type	type	NOUN
ap-7699	322	24	f(s)r2	f(s)r2	NOUN
ap-7699	322	25	,	,	PUNCT
ap-7699	322	26	where	where	SCONJ
ap-7699	322	27	the	the	DET
ap-7699	322	28	yet	yet	ADV
ap-7699	322	29	unknown	unknown	ADJ
ap-7699	322	30	functions	function	NOUN
ap-7699	322	31	f(s	f(s	ADV
ap-7699	322	32	)	)	PUNCT
ap-7699	322	33	can	can	AUX
ap-7699	322	34	be	be	AUX
ap-7699	322	35	polynomials	polynomial	NOUN
ap-7699	322	36	up	up	ADP
ap-7699	322	37	to	to	ADP
ap-7699	322	38	the	the	DET
ap-7699	322	39	second	second	ADJ
ap-7699	322	40	order	order	NOUN
ap-7699	322	41	in	in	ADP
ap-7699	322	42	the	the	DET
ap-7699	322	43	coefficients	coefficient	NOUN
ap-7699	322	44	si	si	X
ap-7699	322	45	of	of	ADP
ap-7699	322	46	these	these	DET
ap-7699	322	47	killers	killer	NOUN
ap-7699	322	48	.	.	PUNCT
ap-7699	323	1	now	now	ADV
ap-7699	323	2	,	,	PUNCT
ap-7699	323	3	requiring	require	VERB
ap-7699	323	4	the	the	DET
ap-7699	323	5	total	total	ADJ
ap-7699	323	6	beta	beta	NOUN
ap-7699	323	7	functions	function	NOUN
ap-7699	323	8	vanish	vanish	VERB
ap-7699	323	9	(	(	PUNCT
ap-7699	323	10	for	for	ADP
ap-7699	323	11	complete	complete	ADJ
ap-7699	323	12	uv	uv	NOUN
ap-7699	323	13	-	-	PUNCT
ap-7699	323	14	finiteness	finiteness	NOUN
ap-7699	323	15	)	)	PUNCT
ap-7699	323	16	we	we	PRON
ap-7699	323	17	need	need	VERB
ap-7699	323	18	in	in	ADP
ap-7699	323	19	general	general	ADJ
ap-7699	323	20	to	to	PART
ap-7699	323	21	solve	solve	VERB
ap-7699	323	22	the	the	DET
ap-7699	323	23	system	system	NOUN
ap-7699	323	24	of	of	ADP
ap-7699	323	25	the	the	DET
ap-7699	323	26	quadratic	quadratic	ADJ
ap-7699	323	27	equations	equation	NOUN
ap-7699	323	28	in	in	ADP
ap-7699	323	29	the	the	DET
ap-7699	323	30	coefficients	coefficient	NOUN
ap-7699	323	31	si	si	INTJ
ap-7699	323	32	.	.	PUNCT
ap-7699	324	1	the	the	DET
ap-7699	324	2	only	only	ADJ
ap-7699	324	3	obstacle	obstacle	NOUN
ap-7699	324	4	for	for	ADP
ap-7699	324	5	finding	find	VERB
ap-7699	324	6	coefficients	coefficient	NOUN
ap-7699	324	7	of	of	ADP
ap-7699	324	8	the	the	DET
ap-7699	324	9	killers	killer	NOUN
ap-7699	324	10	can	can	AUX
ap-7699	324	11	be	be	AUX
ap-7699	324	12	that	that	SCONJ
ap-7699	324	13	some	some	DET
ap-7699	324	14	solutions	solution	NOUN
ap-7699	324	15	of	of	ADP
ap-7699	324	16	this	this	DET
ap-7699	324	17	system	system	NOUN
ap-7699	324	18	reveal	reveal	VERB
ap-7699	324	19	to	to	PART
ap-7699	324	20	be	be	AUX
ap-7699	324	21	complex	complex	ADJ
ap-7699	324	22	numbers	number	NOUN
ap-7699	324	23	,	,	PUNCT
ap-7699	324	24	not	not	PART
ap-7699	324	25	real	real	ADJ
ap-7699	324	26	,	,	PUNCT
ap-7699	324	27	but	but	CCONJ
ap-7699	324	28	we	we	PRON
ap-7699	324	29	need	need	VERB
ap-7699	324	30	to	to	PART
ap-7699	324	31	require	require	VERB
ap-7699	324	32	all	all	DET
ap-7699	324	33	si	si	NOUN
ap-7699	324	34	coefficients	coefficient	NOUN
ap-7699	324	35	to	to	PART
ap-7699	324	36	be	be	AUX
ap-7699	324	37	real	real	ADJ
ap-7699	324	38	for	for	ADP
ap-7699	324	39	the	the	DET
ap-7699	324	40	definiteness	definiteness	NOUN
ap-7699	324	41	of	of	ADP
ap-7699	324	42	the	the	DET
ap-7699	324	43	action	action	NOUN
ap-7699	324	44	(	(	PUNCT
ap-7699	324	45	for	for	ADP
ap-7699	324	46	example	example	NOUN
ap-7699	324	47	in	in	ADP
ap-7699	324	48	the	the	DET
ap-7699	324	49	euclidean	euclidean	ADJ
ap-7699	324	50	case	case	NOUN
ap-7699	324	51	of	of	ADP
ap-7699	324	52	the	the	DET
ap-7699	324	53	signature	signature	NOUN
ap-7699	324	54	of	of	ADP
ap-7699	324	55	the	the	DET
ap-7699	324	56	metric	metric	NOUN
ap-7699	324	57	)	)	PUNCT
ap-7699	324	58	.	.	PUNCT
ap-7699	325	1	therefore	therefore	ADV
ap-7699	325	2	this	this	DET
ap-7699	325	3	issue	issue	NOUN
ap-7699	325	4	requires	require	VERB
ap-7699	325	5	a	a	DET
ap-7699	325	6	more	more	ADV
ap-7699	325	7	detailed	detailed	ADJ
ap-7699	325	8	mathematical	mathematical	ADJ
ap-7699	325	9	analysis	analysis	NOUN
ap-7699	325	10	,	,	PUNCT
ap-7699	325	11	but	but	CCONJ
ap-7699	325	12	the	the	DET
ap-7699	325	13	preliminary	preliminary	ADJ
ap-7699	325	14	results	result	NOUN
ap-7699	325	15	based	base	VERB
ap-7699	325	16	on	on	ADP
ap-7699	325	17	[	[	X
ap-7699	325	18	26	26	NUM
ap-7699	325	19	,	,	PUNCT
ap-7699	325	20	29	29	NUM
ap-7699	325	21	]	]	PUNCT
ap-7699	325	22	show	show	VERB
ap-7699	325	23	that	that	SCONJ
ap-7699	325	24	in	in	ADP
ap-7699	325	25	most	most	ADJ
ap-7699	325	26	of	of	ADP
ap-7699	325	27	the	the	DET
ap-7699	325	28	cases	case	NOUN
ap-7699	325	29	the	the	DET
ap-7699	325	30	uv	uv	NOUN
ap-7699	325	31	-	-	PUNCT
ap-7699	325	32	finiteness	finiteness	NOUN
ap-7699	325	33	is	be	AUX
ap-7699	325	34	possible	possible	ADJ
ap-7699	325	35	and	and	CCONJ
ap-7699	325	36	easily	easily	ADV
ap-7699	325	37	can	can	AUX
ap-7699	325	38	be	be	AUX
ap-7699	325	39	achieved	achieve	VERB
ap-7699	325	40	by	by	ADP
ap-7699	325	41	adding	add	VERB
ap-7699	325	42	the	the	DET
ap-7699	325	43	cubic	cubic	ADJ
ap-7699	325	44	killer	killer	NOUN
ap-7699	325	45	operators	operator	NOUN
ap-7699	325	46	from	from	ADP
ap-7699	325	47	(	(	PUNCT
ap-7699	325	48	11	11	NUM
ap-7699	325	49	)	)	PUNCT
ap-7699	325	50	with	with	ADP
ap-7699	325	51	real	real	ADJ
ap-7699	325	52	coefficients	coefficient	NOUN
ap-7699	325	53	si	si	INTJ
ap-7699	325	54	.	.	PROPN
ap-7699	325	55	one	one	PRON
ap-7699	325	56	can	can	AUX
ap-7699	325	57	compare	compare	VERB
ap-7699	325	58	the	the	DET
ap-7699	325	59	situation	situation	NOUN
ap-7699	325	60	here	here	ADV
ap-7699	325	61	with	with	ADP
ap-7699	325	62	cubic	cubic	ADJ
ap-7699	325	63	killers	killer	NOUN
ap-7699	325	64	to	to	ADP
ap-7699	325	65	the	the	DET
ap-7699	325	66	more	more	ADV
ap-7699	325	67	known	know	VERB
ap-7699	325	68	situation	situation	NOUN
ap-7699	325	69	where	where	SCONJ
ap-7699	325	70	the	the	DET
ap-7699	325	71	quartic	quartic	ADJ
ap-7699	325	72	killers	killer	NOUN
ap-7699	325	73	are	be	AUX
ap-7699	325	74	used	use	VERB
ap-7699	325	75	to	to	PART
ap-7699	325	76	obtain	obtain	VERB
ap-7699	325	77	uv	uv	NOUN
ap-7699	325	78	-	-	PUNCT
ap-7699	325	79	finiteness	finiteness	NOUN
ap-7699	325	80	.	.	PUNCT
ap-7699	326	1	unfortunately	unfortunately	ADV
ap-7699	326	2	,	,	PUNCT
ap-7699	326	3	such	such	ADJ
ap-7699	326	4	quartic	quartic	ADJ
ap-7699	326	5	killers	killer	NOUN
ap-7699	326	6	can	can	AUX
ap-7699	326	7	not	not	PART
ap-7699	326	8	be	be	AUX
ap-7699	326	9	added	add	VERB
ap-7699	326	10	to	to	ADP
ap-7699	326	11	the	the	DET
ap-7699	326	12	six	six	NUM
ap-7699	326	13	-	-	PUNCT
ap-7699	326	14	derivative	derivative	ADJ
ap-7699	326	15	gravitational	gravitational	ADJ
ap-7699	326	16	theory	theory	NOUN
ap-7699	326	17	from	from	ADP
ap-7699	326	18	(	(	PUNCT
ap-7699	326	19	6	6	NUM
ap-7699	326	20	)	)	PUNCT
ap-7699	326	21	since	since	SCONJ
ap-7699	326	22	they	they	PRON
ap-7699	326	23	would	would	AUX
ap-7699	326	24	have	have	VERB
ap-7699	326	25	too	too	ADV
ap-7699	326	26	many	many	ADJ
ap-7699	326	27	partial	partial	ADJ
ap-7699	326	28	derivatives	derivative	NOUN
ap-7699	326	29	and	and	CCONJ
ap-7699	326	30	would	would	AUX
ap-7699	326	31	destroy	destroy	VERB
ap-7699	326	32	the	the	DET
ap-7699	326	33	renormalizability	renormalizability	NOUN
ap-7699	326	34	of	of	ADP
ap-7699	326	35	the	the	DET
ap-7699	326	36	model	model	NOUN
ap-7699	326	37	.	.	PUNCT
ap-7699	327	1	quartic	quartic	ADJ
ap-7699	327	2	killers	killer	NOUN
ap-7699	327	3	can	can	AUX
ap-7699	327	4	be	be	AUX
ap-7699	327	5	included	include	VERB
ap-7699	327	6	in	in	ADP
ap-7699	327	7	theories	theory	NOUN
ap-7699	327	8	with	with	ADP
ap-7699	327	9	at	at	ADV
ap-7699	327	10	least	least	ADJ
ap-7699	327	11	8	8	NUM
ap-7699	327	12	derivatives	derivative	NOUN
ap-7699	327	13	.	.	PUNCT
ap-7699	328	1	such	such	ADJ
ap-7699	328	2	approach	approach	NOUN
ap-7699	328	3	seems	seem	VERB
ap-7699	328	4	to	to	PART
ap-7699	328	5	be	be	AUX
ap-7699	328	6	preferred	prefer	VERB
ap-7699	328	7	one	one	NUM
ap-7699	328	8	since	since	SCONJ
ap-7699	328	9	the	the	DET
ap-7699	328	10	contribution	contribution	NOUN
ap-7699	328	11	of	of	ADP
ap-7699	328	12	quartic	quartic	ADJ
ap-7699	328	13	killers	killer	NOUN
ap-7699	328	14	(	(	PUNCT
ap-7699	328	15	of	of	ADP
ap-7699	328	16	the	the	DET
ap-7699	328	17	type	type	NOUN
ap-7699	328	18	schematically	schematically	NOUN
ap-7699	328	19	as	as	ADP
ap-7699	328	20	r4	r4	PROPN
ap-7699	328	21	)	)	PUNCT
ap-7699	328	22	is	be	AUX
ap-7699	328	23	always	always	ADV
ap-7699	328	24	linear	linear	ADJ
ap-7699	328	25	in	in	ADP
ap-7699	328	26	d	d	PROPN
ap-7699	328	27	=	=	SYM
ap-7699	328	28	4	4	NUM
ap-7699	328	29	to	to	PART
ap-7699	328	30	uv	uv	NOUN
ap-7699	328	31	divergences	divergence	NOUN
ap-7699	328	32	proportional	proportional	ADJ
ap-7699	328	33	to	to	ADP
ap-7699	328	34	r2	r2	PROPN
ap-7699	328	35	schematically	schematically	NOUN
ap-7699	328	36	.	.	PUNCT
ap-7699	329	1	and	and	CCONJ
ap-7699	329	2	to	to	PART
ap-7699	329	3	solve	solve	VERB
ap-7699	329	4	linear	linear	ADJ
ap-7699	329	5	system	system	NOUN
ap-7699	329	6	of	of	ADP
ap-7699	329	7	equations	equation	NOUN
ap-7699	329	8	with	with	ADP
ap-7699	329	9	linear	linear	ADJ
ap-7699	329	10	coefficients	coefficient	NOUN
ap-7699	329	11	is	be	AUX
ap-7699	329	12	always	always	ADV
ap-7699	329	13	doable	doable	ADJ
ap-7699	329	14	and	and	CCONJ
ap-7699	329	15	one	one	NUM
ap-7699	329	16	always	always	ADV
ap-7699	329	17	finds	find	VERB
ap-7699	329	18	solutions	solution	NOUN
ap-7699	329	19	and	and	CCONJ
ap-7699	329	20	they	they	PRON
ap-7699	329	21	are	be	AUX
ap-7699	329	22	always	always	ADV
ap-7699	329	23	real	real	ADJ
ap-7699	329	24	.	.	PUNCT
ap-7699	330	1	this	this	DET
ap-7699	330	2	approach	approach	NOUN
ap-7699	330	3	was	be	AUX
ap-7699	330	4	successfully	successfully	ADV
ap-7699	330	5	applied	apply	VERB
ap-7699	330	6	to	to	ADP
ap-7699	330	7	gravity	gravity	NOUN
ap-7699	330	8	theories	theory	NOUN
ap-7699	330	9	in	in	ADP
ap-7699	330	10	[	[	X
ap-7699	330	11	29	29	NUM
ap-7699	330	12	]	]	PUNCT
ap-7699	330	13	,	,	PUNCT
ap-7699	330	14	to	to	PART
ap-7699	330	15	gauge	gauge	VERB
ap-7699	330	16	theories	theory	NOUN
ap-7699	330	17	in	in	ADP
ap-7699	330	18	[	[	X
ap-7699	330	19	30	30	NUM
ap-7699	330	20	]	]	PUNCT
ap-7699	330	21	,	,	PUNCT
ap-7699	330	22	to	to	ADP
ap-7699	330	23	the	the	DET
ap-7699	330	24	theories	theory	NOUN
ap-7699	330	25	on	on	ADP
ap-7699	330	26	de	de	X
ap-7699	330	27	sitter	sitter	NOUN
ap-7699	330	28	and	and	CCONJ
ap-7699	330	29	anti	anti	ADJ
ap-7699	330	30	-	-	ADJ
ap-7699	330	31	de	de	ADJ
ap-7699	330	32	sitter	sitter	NOUN
ap-7699	330	33	backgrounds	background	NOUN
ap-7699	330	34	[	[	X
ap-7699	330	35	31	31	NUM
ap-7699	330	36	]	]	PUNCT
ap-7699	330	37	and	and	CCONJ
ap-7699	330	38	also	also	ADV
ap-7699	330	39	in	in	ADP
ap-7699	330	40	general	general	ADJ
ap-7699	330	41	non	non	ADJ
ap-7699	330	42	-	-	ADJ
ap-7699	330	43	local	local	ADJ
ap-7699	330	44	theories	theory	NOUN
ap-7699	330	45	[	[	X
ap-7699	330	46	32	32	NUM
ap-7699	330	47	]	]	PUNCT
ap-7699	330	48	.	.	PUNCT
ap-7699	331	1	one	one	PRON
ap-7699	331	2	could	could	AUX
ap-7699	331	3	show	show	VERB
ap-7699	331	4	that	that	SCONJ
ap-7699	331	5	the	the	DET
ap-7699	331	6	uv	uv	NOUN
ap-7699	331	7	-	-	PUNCT
ap-7699	331	8	finiteness	finiteness	NOUN
ap-7699	331	9	may	may	AUX
ap-7699	331	10	be	be	AUX
ap-7699	331	11	an	an	DET
ap-7699	331	12	universal	universal	ADJ
ap-7699	331	13	feature	feature	NOUN
ap-7699	331	14	of	of	ADP
ap-7699	331	15	quantum	quantum	ADJ
ap-7699	331	16	field	field	NOUN
ap-7699	331	17	-	-	PUNCT
ap-7699	331	18	theoretical	theoretical	ADJ
ap-7699	331	19	interactions	interaction	NOUN
ap-7699	331	20	in	in	ADP
ap-7699	331	21	nature	nature	NOUN
ap-7699	331	22	[	[	X
ap-7699	331	23	33	33	NUM
ap-7699	331	24	]	]	PUNCT
ap-7699	331	25	.	.	PUNCT
ap-7699	332	1	moreover	moreover	ADV
ap-7699	332	2	,	,	PUNCT
ap-7699	332	3	this	this	DET
ap-7699	332	4	feature	feature	NOUN
ap-7699	332	5	of	of	ADP
ap-7699	332	6	the	the	DET
ap-7699	332	7	absence	absence	NOUN
ap-7699	332	8	of	of	ADP
ap-7699	332	9	perturbative	perturbative	ADJ
ap-7699	332	10	uv	uv	NOUN
ap-7699	332	11	divergences	divergence	NOUN
ap-7699	332	12	is	be	AUX
ap-7699	332	13	related	relate	VERB
ap-7699	332	14	to	to	ADP
ap-7699	332	15	the	the	DET
ap-7699	332	16	quantum	quantum	ADJ
ap-7699	332	17	conformality	conformality	NOUN
ap-7699	332	18	as	as	SCONJ
ap-7699	332	19	advocated	advocate	VERB
ap-7699	332	20	in	in	ADP
ap-7699	332	21	[	[	X
ap-7699	332	22	34	34	NUM
ap-7699	332	23	,	,	PUNCT
ap-7699	332	24	35	35	NUM
ap-7699	332	25	]	]	PUNCT
ap-7699	332	26	.	.	PUNCT
ap-7699	333	1	1.3	1.3	NUM
ap-7699	333	2	.	.	PUNCT
ap-7699	333	3	universality	universality	NOUN
ap-7699	333	4	of	of	ADP
ap-7699	333	5	the	the	DET
ap-7699	333	6	results	result	NOUN
ap-7699	333	7	finally	finally	ADV
ap-7699	333	8	,	,	PUNCT
ap-7699	333	9	one	one	NUM
ap-7699	333	10	of	of	ADP
ap-7699	333	11	the	the	DET
ap-7699	333	12	most	most	ADV
ap-7699	333	13	important	important	ADJ
ap-7699	333	14	features	feature	NOUN
ap-7699	333	15	of	of	ADP
ap-7699	333	16	the	the	DET
ap-7699	333	17	expression	expression	NOUN
ap-7699	333	18	for	for	ADP
ap-7699	333	19	the	the	DET
ap-7699	333	20	uv	uv	NOUN
ap-7699	333	21	-	-	PUNCT
ap-7699	333	22	divergent	divergent	ADJ
ap-7699	333	23	part	part	NOUN
ap-7699	333	24	of	of	ADP
ap-7699	333	25	the	the	DET
ap-7699	333	26	effective	effective	ADJ
ap-7699	333	27	action	action	NOUN
ap-7699	333	28	in	in	ADP
ap-7699	333	29	the	the	DET
ap-7699	333	30	six	six	NUM
ap-7699	333	31	-	-	PUNCT
ap-7699	333	32	derivative	derivative	ADJ
ap-7699	333	33	gravitational	gravitational	ADJ
ap-7699	333	34	theories	theory	NOUN
ap-7699	333	35	is	be	AUX
ap-7699	333	36	its	its	PRON
ap-7699	333	37	complete	complete	ADJ
ap-7699	333	38	independence	independence	NOUN
ap-7699	333	39	of	of	ADP
ap-7699	333	40	any	any	DET
ap-7699	333	41	parameter	parameter	NOUN
ap-7699	333	42	used	use	VERB
ap-7699	333	43	in	in	ADP
ap-7699	333	44	the	the	DET
ap-7699	333	45	computation	computation	NOUN
ap-7699	333	46	.	.	PUNCT
ap-7699	334	1	this	this	DET
ap-7699	334	2	parameter	parameter	NOUN
ap-7699	334	3	can	can	AUX
ap-7699	334	4	be	be	AUX
ap-7699	334	5	gauge	gauge	NOUN
ap-7699	334	6	-	-	PUNCT
ap-7699	334	7	fixing	fix	VERB
ap-7699	334	8	parameter	parameter	NOUN
ap-7699	334	9	,	,	PUNCT
ap-7699	334	10	or	or	CCONJ
ap-7699	334	11	it	it	PRON
ap-7699	334	12	can	can	AUX
ap-7699	334	13	appear	appear	VERB
ap-7699	334	14	in	in	ADP
ap-7699	334	15	gauge	gauge	ADJ
ap-7699	334	16	choice	choice	NOUN
ap-7699	334	17	,	,	PUNCT
ap-7699	334	18	or	or	CCONJ
ap-7699	334	19	in	in	ADP
ap-7699	334	20	details	detail	NOUN
ap-7699	334	21	of	of	ADP
ap-7699	334	22	some	some	DET
ap-7699	334	23	renormalization	renormalization	NOUN
ap-7699	334	24	scheme	scheme	NOUN
ap-7699	334	25	,	,	PUNCT
ap-7699	334	26	etc	etc	X
ap-7699	334	27	..	..	X
ap-7699	334	28	this	this	DET
ap-7699	334	29	bold	bold	ADJ
ap-7699	334	30	fact	fact	NOUN
ap-7699	334	31	of	of	ADP
ap-7699	334	32	complete	complete	ADJ
ap-7699	334	33	universality	universality	NOUN
ap-7699	334	34	of	of	ADP
ap-7699	334	35	the	the	DET
ap-7699	334	36	results	result	NOUN
ap-7699	334	37	for	for	ADP
ap-7699	334	38	the	the	DET
ap-7699	334	39	effective	effective	ADJ
ap-7699	334	40	action	action	NOUN
ap-7699	334	41	was	be	AUX
ap-7699	334	42	proven	prove	VERB
ap-7699	334	43	by	by	ADP
ap-7699	334	44	the	the	DET
ap-7699	334	45	theorem	theorem	NOUN
ap-7699	334	46	by	by	ADP
ap-7699	334	47	kallosh	kallosh	NOUN
ap-7699	334	48	,	,	PUNCT
ap-7699	334	49	tarasov	tarasov	NOUN
ap-7699	334	50	and	and	CCONJ
ap-7699	334	51	tyutin	tyutin	NOUN
ap-7699	334	52	(	(	PUNCT
ap-7699	334	53	ktt	ktt	PROPN
ap-7699	334	54	)	)	PUNCT
ap-7699	335	1	[	[	X
ap-7699	335	2	36–38	36–38	NUM
ap-7699	335	3	]	]	PUNCT
ap-7699	335	4	,	,	PUNCT
ap-7699	335	5	applied	apply	VERB
ap-7699	335	6	here	here	ADV
ap-7699	335	7	to	to	ADP
ap-7699	335	8	the	the	DET
ap-7699	335	9	six	six	NUM
ap-7699	335	10	-	-	PUNCT
ap-7699	335	11	derivative	derivative	ADJ
ap-7699	335	12	qg	qg	PROPN
ap-7699	335	13	theories	theory	NOUN
ap-7699	335	14	.	.	PUNCT
ap-7699	336	1	the	the	DET
ap-7699	336	2	theorem	theorem	NOUN
ap-7699	336	3	expresses	express	VERB
ap-7699	336	4	the	the	DET
ap-7699	336	5	difference	difference	NOUN
ap-7699	336	6	between	between	ADP
ap-7699	336	7	two	two	NUM
ap-7699	336	8	effective	effective	ADJ
ap-7699	336	9	actions	action	NOUN
ap-7699	336	10	of	of	ADP
ap-7699	336	11	the	the	DET
ap-7699	336	12	same	same	ADJ
ap-7699	336	13	theory	theory	NOUN
ap-7699	336	14	but	but	CCONJ
ap-7699	336	15	computed	compute	VERB
ap-7699	336	16	using	use	VERB
ap-7699	336	17	different	different	ADJ
ap-7699	336	18	set	set	NOUN
ap-7699	336	19	of	of	ADP
ap-7699	336	20	external	external	ADJ
ap-7699	336	21	parameters	parameter	NOUN
ap-7699	336	22	.	.	PUNCT
ap-7699	337	1	basically	basically	ADV
ap-7699	337	2	,	,	PUNCT
ap-7699	337	3	this	this	DET
ap-7699	337	4	difference	difference	NOUN
ap-7699	337	5	is	be	AUX
ap-7699	337	6	proportional	proportional	ADJ
ap-7699	337	7	to	to	ADP
ap-7699	337	8	the	the	DET
ap-7699	337	9	off	off	ADJ
ap-7699	337	10	-	-	PUNCT
ap-7699	337	11	shell	shell	NOUN
ap-7699	337	12	tensor	tensor	NOUN
ap-7699	337	13	of	of	ADP
ap-7699	337	14	classical	classical	ADJ
ap-7699	337	15	equation	equation	NOUN
ap-7699	337	16	of	of	ADP
ap-7699	337	17	motion	motion	NOUN
ap-7699	337	18	of	of	ADP
ap-7699	337	19	the	the	DET
ap-7699	337	20	original	original	ADJ
ap-7699	337	21	theory	theory	NOUN
ap-7699	337	22	.	.	PUNCT
ap-7699	338	1	and	and	CCONJ
ap-7699	338	2	this	this	DET
ap-7699	338	3	difference	difference	NOUN
ap-7699	338	4	disappears	disappear	VERB
ap-7699	338	5	on	on	ADP
ap-7699	338	6	-	-	PUNCT
ap-7699	338	7	shell	shell	NOUN
ap-7699	338	8	.	.	PUNCT
ap-7699	339	1	however	however	ADV
ap-7699	339	2	,	,	PUNCT
ap-7699	339	3	in	in	ADP
ap-7699	339	4	our	our	PRON
ap-7699	339	5	computation	computation	NOUN
ap-7699	339	6	we	we	PRON
ap-7699	339	7	want	want	VERB
ap-7699	339	8	to	to	PART
ap-7699	339	9	exploit	exploit	VERB
ap-7699	339	10	the	the	DET
ap-7699	339	11	case	case	NOUN
ap-7699	339	12	when	when	SCONJ
ap-7699	339	13	the	the	DET
ap-7699	339	14	effective	effective	ADJ
ap-7699	339	15	action	action	NOUN
ap-7699	339	16	and	and	CCONJ
ap-7699	339	17	various	various	ADJ
ap-7699	339	18	green	green	ADJ
ap-7699	339	19	functions	function	NOUN
ap-7699	339	20	are	be	AUX
ap-7699	339	21	computed	compute	VERB
ap-7699	339	22	from	from	ADP
ap-7699	339	23	it	it	PRON
ap-7699	339	24	understood	understand	VERB
ap-7699	339	25	as	as	ADP
ap-7699	339	26	the	the	DET
ap-7699	339	27	off	off	ADP
ap-7699	339	28	-	-	PUNCT
ap-7699	339	29	shell	shell	NOUN
ap-7699	339	30	functional	functional	ADJ
ap-7699	339	31	.	.	PUNCT
ap-7699	340	1	but	but	CCONJ
ap-7699	340	2	in	in	ADP
ap-7699	340	3	super	super	ADJ
ap-7699	340	4	-	-	ADJ
ap-7699	340	5	renormalizable	renormalizable	ADJ
ap-7699	340	6	theories	theory	NOUN
ap-7699	340	7	there	there	PRON
ap-7699	340	8	is	be	VERB
ap-7699	340	9	still	still	ADV
ap-7699	340	10	some	some	DET
ap-7699	340	11	advantage	advantage	NOUN
ap-7699	340	12	of	of	ADP
ap-7699	340	13	using	use	VERB
ap-7699	340	14	this	this	DET
ap-7699	340	15	theorem	theorem	NOUN
ap-7699	340	16	,	,	PUNCT
ap-7699	340	17	namely	namely	ADV
ap-7699	340	18	for	for	ADP
ap-7699	340	19	this	this	DET
ap-7699	340	20	one	one	NUM
ap-7699	340	21	notices	notice	VERB
ap-7699	340	22	the	the	DET
ap-7699	340	23	difference	difference	NOUN
ap-7699	340	24	in	in	ADP
ap-7699	340	25	number	number	NOUN
ap-7699	340	26	of	of	ADP
ap-7699	340	27	derivatives	derivative	NOUN
ap-7699	340	28	on	on	ADP
ap-7699	340	29	the	the	DET
ap-7699	340	30	metric	metric	ADJ
ap-7699	340	31	tensor	tensor	NOUN
ap-7699	340	32	between	between	ADP
ap-7699	340	33	the	the	DET
ap-7699	340	34	original	original	ADJ
ap-7699	340	35	action	action	NOUN
ap-7699	340	36	and	and	CCONJ
ap-7699	340	37	lagrangian	lagrangian	NOUN
ap-7699	340	38	of	of	ADP
ap-7699	340	39	the	the	DET
ap-7699	340	40	theory	theory	NOUN
ap-7699	340	41	as	as	SCONJ
ap-7699	340	42	it	it	PRON
ap-7699	340	43	is	be	AUX
ap-7699	340	44	in	in	ADP
ap-7699	340	45	the	the	DET
ap-7699	340	46	form	form	NOUN
ap-7699	340	47	(	(	PUNCT
ap-7699	340	48	10	10	NUM
ap-7699	340	49	)	)	PUNCT
ap-7699	340	50	(	(	PUNCT
ap-7699	340	51	and	and	CCONJ
ap-7699	340	52	resulting	result	VERB
ap-7699	340	53	from	from	ADP
ap-7699	340	54	it	it	PRON
ap-7699	340	55	classical	classical	ADJ
ap-7699	340	56	eom	eom	PROPN
ap-7699	340	57	)	)	PUNCT
ap-7699	340	58	and	and	CCONJ
ap-7699	340	59	between	between	ADP
ap-7699	340	60	the	the	DET
ap-7699	340	61	same	same	ADJ
ap-7699	340	62	counting	counting	NOUN
ap-7699	340	63	of	of	ADP
ap-7699	340	64	derivatives	derivative	NOUN
ap-7699	340	65	done	do	VERB
ap-7699	340	66	in	in	ADP
ap-7699	340	67	the	the	DET
ap-7699	340	68	divergent	divergent	ADJ
ap-7699	340	69	part	part	NOUN
ap-7699	340	70	of	of	ADP
ap-7699	340	71	the	the	DET
ap-7699	340	72	effective	effective	ADJ
ap-7699	340	73	action	action	NOUN
ap-7699	340	74	.	.	PUNCT
ap-7699	341	1	we	we	PRON
ap-7699	341	2	remind	remind	VERB
ap-7699	341	3	the	the	DET
ap-7699	341	4	reader	reader	NOUN
ap-7699	341	5	that	that	SCONJ
ap-7699	341	6	in	in	ADP
ap-7699	341	7	the	the	DET
ap-7699	341	8	former	former	ADJ
ap-7699	341	9	case	case	NOUN
ap-7699	341	10	we	we	PRON
ap-7699	341	11	have	have	VERB
ap-7699	341	12	six	six	NUM
ap-7699	341	13	derivatives	derivative	NOUN
ap-7699	341	14	on	on	ADP
ap-7699	341	15	the	the	DET
ap-7699	341	16	metric	metric	NOUN
ap-7699	341	17	,	,	PUNCT
ap-7699	341	18	while	while	SCONJ
ap-7699	341	19	in	in	ADP
ap-7699	341	20	the	the	DET
ap-7699	341	21	latter	latter	ADJ
ap-7699	341	22	we	we	PRON
ap-7699	341	23	count	count	VERB
ap-7699	341	24	up	up	ADP
ap-7699	341	25	to	to	ADP
ap-7699	341	26	four	four	NUM
ap-7699	341	27	derivatives	derivative	NOUN
ap-7699	341	28	.	.	PUNCT
ap-7699	342	1	this	this	DET
ap-7699	342	2	mismatch	mismatch	VERB
ap-7699	342	3	together	together	ADV
ap-7699	342	4	with	with	ADP
ap-7699	342	5	the	the	DET
ap-7699	342	6	theorem	theorem	NOUN
ap-7699	342	7	of	of	ADP
ap-7699	342	8	ktt	ktt	PROPN
ap-7699	342	9	implies	imply	VERB
ap-7699	342	10	that	that	SCONJ
ap-7699	342	11	the	the	DET
ap-7699	342	12	difference	difference	NOUN
ap-7699	342	13	between	between	ADP
ap-7699	342	14	the	the	DET
ap-7699	342	15	two	two	NUM
ap-7699	342	16	uv	uv	NOUN
ap-7699	342	17	-	-	PUNCT
ap-7699	342	18	divergent	divergent	ADJ
ap-7699	342	19	parts	part	NOUN
ap-7699	342	20	of	of	ADP
ap-7699	342	21	the	the	DET
ap-7699	342	22	effective	effective	ADJ
ap-7699	342	23	actions	action	NOUN
ap-7699	342	24	(	(	PUNCT
ap-7699	342	25	only	only	ADV
ap-7699	342	26	for	for	ADP
ap-7699	342	27	these	these	DET
ap-7699	342	28	parts	part	NOUN
ap-7699	342	29	of	of	ADP
ap-7699	342	30	the	the	DET
ap-7699	342	31	effective	effective	ADJ
ap-7699	342	32	actions	action	NOUN
ap-7699	342	33	)	)	PUNCT
ap-7699	342	34	computed	compute	VERB
ap-7699	342	35	using	use	VERB
ap-7699	342	36	two	two	NUM
ap-7699	342	37	different	different	ADJ
ap-7699	342	38	schemes	scheme	NOUN
ap-7699	342	39	or	or	CCONJ
ap-7699	342	40	methods	method	NOUN
ap-7699	342	41	must	must	AUX
ap-7699	342	42	vanish	vanish	VERB
ap-7699	342	43	in	in	ADP
ap-7699	342	44	superrenormalizable	superrenormalizable	PROPN
ap-7699	342	45	qg	qg	PROPN
ap-7699	342	46	theories	theory	NOUN
ap-7699	342	47	with	with	ADP
ap-7699	342	48	six	six	NUM
ap-7699	342	49	-	-	PUNCT
ap-7699	342	50	derivative	derivative	ADJ
ap-7699	342	51	actions	action	NOUN
ap-7699	342	52	for	for	ADP
ap-7699	342	53	whatever	whatever	DET
ap-7699	342	54	change	change	NOUN
ap-7699	342	55	of	of	ADP
ap-7699	342	56	the	the	DET
ap-7699	342	57	external	external	ADJ
ap-7699	342	58	parameters	parameter	NOUN
ap-7699	342	59	that	that	PRON
ap-7699	342	60	are	be	AUX
ap-7699	342	61	used	use	VERB
ap-7699	342	62	for	for	ADP
ap-7699	342	63	the	the	DET
ap-7699	342	64	computation	computation	NOUN
ap-7699	342	65	of	of	ADP
ap-7699	342	66	these	these	DET
ap-7699	342	67	uv	uv	NOUN
ap-7699	342	68	-	-	PUNCT
ap-7699	342	69	divergent	divergent	ADJ
ap-7699	342	70	functionals	functional	NOUN
ap-7699	342	71	.	.	PUNCT
ap-7699	343	1	this	this	PRON
ap-7699	343	2	means	mean	VERB
ap-7699	343	3	that	that	SCONJ
ap-7699	343	4	our	our	PRON
ap-7699	343	5	results	result	NOUN
ap-7699	343	6	for	for	ADP
ap-7699	343	7	divergences	divergence	NOUN
ap-7699	343	8	are	be	AUX
ap-7699	343	9	completely	completely	ADV
ap-7699	343	10	universal	universal	ADJ
ap-7699	343	11	and	and	CCONJ
ap-7699	343	12	can	can	AUX
ap-7699	343	13	not	not	PART
ap-7699	343	14	depend	depend	VERB
ap-7699	343	15	on	on	ADP
ap-7699	343	16	any	any	DET
ap-7699	343	17	parameter	parameter	NOUN
ap-7699	343	18	.	.	PUNCT
ap-7699	344	1	hence	hence	ADV
ap-7699	344	2	we	we	PRON
ap-7699	344	3	derive	derive	VERB
ap-7699	344	4	the	the	DET
ap-7699	344	5	conclusion	conclusion	NOUN
ap-7699	344	6	that	that	SCONJ
ap-7699	344	7	our	our	PRON
ap-7699	344	8	found	find	VERB
ap-7699	344	9	divergences	divergence	NOUN
ap-7699	344	10	do	do	AUX
ap-7699	344	11	not	not	PART
ap-7699	344	12	depend	depend	VERB
ap-7699	344	13	on	on	ADP
ap-7699	344	14	the	the	DET
ap-7699	344	15	gauge	gauge	NOUN
ap-7699	344	16	-	-	PUNCT
ap-7699	344	17	fixing	fix	VERB
ap-7699	344	18	parameters	parameter	NOUN
ap-7699	344	19	,	,	PUNCT
ap-7699	344	20	gauge	gauge	NOUN
ap-7699	344	21	choices	choice	NOUN
ap-7699	344	22	nor	nor	CCONJ
ap-7699	344	23	on	on	ADP
ap-7699	344	24	other	other	ADJ
ap-7699	344	25	parametrization	parametrization	NOUN
ap-7699	344	26	ambiguities	ambiguity	NOUN
ap-7699	344	27	.	.	PUNCT
ap-7699	345	1	we	we	PRON
ap-7699	345	2	remark	remark	VERB
ap-7699	345	3	that	that	SCONJ
ap-7699	345	4	this	this	DET
ap-7699	345	5	situation	situation	NOUN
ap-7699	345	6	is	be	AUX
ap-7699	345	7	much	much	ADV
ap-7699	345	8	better	well	ADJ
ap-7699	345	9	than	than	ADP
ap-7699	345	10	for	for	ADP
ap-7699	345	11	example	example	NOUN
ap-7699	345	12	in	in	ADP
ap-7699	345	13	e	e	PROPN
ap-7699	345	14	-	-	NOUN
ap-7699	345	15	h	h	ADJ
ap-7699	345	16	127	127	NUM
ap-7699	345	17	lesław	lesław	PROPN
ap-7699	345	18	rachwał	rachwał	PROPN
ap-7699	345	19	acta	acta	PROPN
ap-7699	345	20	polytechnica	polytechnica	PROPN
ap-7699	345	21	gravity	gravity	NOUN
ap-7699	345	22	,	,	PUNCT
ap-7699	345	23	where	where	SCONJ
ap-7699	345	24	the	the	DET
ap-7699	345	25	dependence	dependence	NOUN
ap-7699	345	26	on	on	ADP
ap-7699	345	27	a	a	DET
ap-7699	345	28	gauge	gauge	NOUN
ap-7699	345	29	is	be	AUX
ap-7699	345	30	quite	quite	ADV
ap-7699	345	31	strong	strong	ADJ
ap-7699	345	32	,	,	PUNCT
ap-7699	345	33	or	or	CCONJ
ap-7699	345	34	even	even	ADV
ap-7699	345	35	in	in	ADP
ap-7699	345	36	stelle	stelle	PROPN
ap-7699	345	37	four	four	NUM
ap-7699	345	38	-	-	PUNCT
ap-7699	345	39	derivative	derivative	NOUN
ap-7699	345	40	theory	theory	NOUN
ap-7699	345	41	,	,	PUNCT
ap-7699	345	42	where	where	SCONJ
ap-7699	345	43	four	four	NUM
ap-7699	345	44	-	-	PUNCT
ap-7699	345	45	derivative	derivative	ADJ
ap-7699	345	46	uv	uv	NOUN
ap-7699	345	47	-	-	PUNCT
ap-7699	345	48	divergent	divergent	ADJ
ap-7699	345	49	terms	term	NOUN
ap-7699	345	50	also	also	ADV
ap-7699	345	51	show	show	VERB
ap-7699	345	52	up	up	ADP
ap-7699	345	53	some	some	DET
ap-7699	345	54	ambiguous	ambiguous	ADJ
ap-7699	345	55	dependence	dependence	NOUN
ap-7699	345	56	on	on	ADP
ap-7699	345	57	gauge	gauge	NOUN
ap-7699	345	58	parameters	parameter	NOUN
ap-7699	345	59	off	off	ADP
ap-7699	345	60	-	-	PUNCT
ap-7699	345	61	shell	shell	NOUN
ap-7699	345	62	.	.	PUNCT
ap-7699	346	1	here	here	ADV
ap-7699	346	2	we	we	PRON
ap-7699	346	3	are	be	AUX
ap-7699	346	4	completely	completely	ADV
ap-7699	346	5	safe	safe	ADJ
ap-7699	346	6	from	from	ADP
ap-7699	346	7	such	such	ADJ
ap-7699	346	8	problems	problem	NOUN
ap-7699	346	9	and	and	CCONJ
ap-7699	346	10	such	such	ADJ
ap-7699	346	11	cumbersome	cumbersome	ADJ
ap-7699	346	12	ambiguities	ambiguity	NOUN
ap-7699	346	13	.	.	PUNCT
ap-7699	347	1	in	in	ADP
ap-7699	347	2	this	this	DET
ap-7699	347	3	way	way	NOUN
ap-7699	347	4	such	such	ADJ
ap-7699	347	5	beta	beta	NOUN
ap-7699	347	6	functions	function	NOUN
ap-7699	347	7	are	be	AUX
ap-7699	347	8	piece	piece	NOUN
ap-7699	347	9	of	of	ADP
ap-7699	347	10	genuine	genuine	ADJ
ap-7699	347	11	observable	observable	ADJ
ap-7699	347	12	quantity	quantity	NOUN
ap-7699	347	13	that	that	PRON
ap-7699	347	14	can	can	AUX
ap-7699	347	15	be	be	AUX
ap-7699	347	16	defined	define	VERB
ap-7699	347	17	in	in	ADP
ap-7699	347	18	superrenormalizable	superrenormalizable	ADJ
ap-7699	347	19	models	model	NOUN
ap-7699	347	20	of	of	ADP
ap-7699	347	21	qg	qg	PROPN
ap-7699	347	22	.	.	PUNCT
ap-7699	348	1	they	they	PRON
ap-7699	348	2	are	be	AUX
ap-7699	348	3	universal	universal	ADJ
ap-7699	348	4	,	,	PUNCT
ap-7699	348	5	independent	independent	ADJ
ap-7699	348	6	of	of	ADP
ap-7699	348	7	spurious	spurious	ADJ
ap-7699	348	8	parameters	parameter	NOUN
ap-7699	348	9	needed	need	VERB
ap-7699	348	10	to	to	PART
ap-7699	348	11	define	define	VERB
ap-7699	348	12	the	the	DET
ap-7699	348	13	gauge	gauge	ADJ
ap-7699	348	14	theory	theory	NOUN
ap-7699	348	15	with	with	ADP
ap-7699	348	16	local	local	ADJ
ap-7699	348	17	symmetries	symmetry	NOUN
ap-7699	348	18	,	,	PUNCT
ap-7699	348	19	and	and	CCONJ
ap-7699	348	20	moreover	moreover	ADV
ap-7699	348	21	they	they	PRON
ap-7699	348	22	are	be	AUX
ap-7699	348	23	exact	exact	ADJ
ap-7699	348	24	,	,	PUNCT
ap-7699	348	25	but	but	CCONJ
ap-7699	348	26	still	still	ADV
ap-7699	348	27	being	be	AUX
ap-7699	348	28	computed	compute	VERB
ap-7699	348	29	at	at	ADP
ap-7699	348	30	the	the	DET
ap-7699	348	31	oneloop	oneloop	NOUN
ap-7699	348	32	level	level	NOUN
ap-7699	348	33	in	in	ADP
ap-7699	348	34	perturbation	perturbation	NOUN
ap-7699	348	35	calculus	calculus	NOUN
ap-7699	348	36	.	.	PUNCT
ap-7699	349	1	they	they	PRON
ap-7699	349	2	are	be	AUX
ap-7699	349	3	clearly	clearly	ADV
ap-7699	349	4	very	very	ADV
ap-7699	349	5	good	good	ADJ
ap-7699	349	6	candidates	candidate	NOUN
ap-7699	349	7	for	for	ADP
ap-7699	349	8	the	the	DET
ap-7699	349	9	observable	observable	ADJ
ap-7699	349	10	in	in	ADP
ap-7699	349	11	qg	qg	PROPN
ap-7699	349	12	models	model	NOUN
ap-7699	349	13	.	.	PUNCT
ap-7699	350	1	therefore	therefore	ADV
ap-7699	350	2	all	all	DET
ap-7699	350	3	these	these	DET
ap-7699	350	4	nice	nice	ADJ
ap-7699	350	5	features	feature	NOUN
ap-7699	350	6	gives	give	VERB
ap-7699	350	7	us	we	PRON
ap-7699	350	8	even	even	ADV
ap-7699	350	9	more	more	ADV
ap-7699	350	10	push	push	NOUN
ap-7699	350	11	towards	towards	ADP
ap-7699	350	12	analyzing	analyze	VERB
ap-7699	350	13	the	the	DET
ap-7699	350	14	structure	structure	NOUN
ap-7699	350	15	of	of	ADP
ap-7699	350	16	such	such	ADJ
ap-7699	350	17	physical	physical	ADJ
ap-7699	350	18	quantities	quantity	NOUN
ap-7699	350	19	and	and	CCONJ
ap-7699	350	20	to	to	PART
ap-7699	350	21	understand	understand	VERB
ap-7699	350	22	this	this	PRON
ap-7699	350	23	based	base	VERB
ap-7699	350	24	on	on	ADP
ap-7699	350	25	some	some	DET
ap-7699	350	26	theoretical	theoretical	ADJ
ap-7699	350	27	considerations	consideration	NOUN
ap-7699	350	28	.	.	PUNCT
ap-7699	351	1	this	this	PRON
ap-7699	351	2	is	be	AUX
ap-7699	351	3	what	what	PRON
ap-7699	351	4	we	we	PRON
ap-7699	351	5	are	be	AUX
ap-7699	351	6	trying	try	VERB
ap-7699	351	7	to	to	PART
ap-7699	351	8	attempt	attempt	VERB
ap-7699	351	9	in	in	ADP
ap-7699	351	10	this	this	DET
ap-7699	351	11	contribution	contribution	NOUN
ap-7699	351	12	.	.	PUNCT
ap-7699	352	1	another	another	DET
ap-7699	352	2	important	important	ADJ
ap-7699	352	3	feature	feature	NOUN
ap-7699	352	4	is	be	AUX
ap-7699	352	5	that	that	SCONJ
ap-7699	352	6	in	in	ADP
ap-7699	352	7	theories	theory	NOUN
ap-7699	352	8	with	with	ADP
ap-7699	352	9	higher	high	ADJ
ap-7699	352	10	derivatives	derivative	NOUN
ap-7699	352	11	in	in	ADP
ap-7699	352	12	their	their	PRON
ap-7699	352	13	defining	define	VERB
ap-7699	352	14	classical	classical	ADJ
ap-7699	352	15	action	action	NOUN
ap-7699	352	16	,	,	PUNCT
ap-7699	352	17	on	on	ADP
ap-7699	352	18	the	the	DET
ap-7699	352	19	full	full	ADJ
ap-7699	352	20	quantum	quantum	ADJ
ap-7699	352	21	level	level	NOUN
ap-7699	352	22	there	there	PRON
ap-7699	352	23	is	be	VERB
ap-7699	352	24	no	no	DET
ap-7699	352	25	need	need	NOUN
ap-7699	352	26	for	for	ADP
ap-7699	352	27	perturbative	perturbative	ADJ
ap-7699	352	28	renormalization	renormalization	NOUN
ap-7699	352	29	of	of	ADP
ap-7699	352	30	the	the	DET
ap-7699	352	31	graviton‘s	graviton‘s	PROPN
ap-7699	352	32	wave	wave	NOUN
ap-7699	352	33	function	function	NOUN
ap-7699	352	34	.	.	PUNCT
ap-7699	353	1	this	this	PRON
ap-7699	353	2	is	be	AUX
ap-7699	353	3	also	also	ADV
ap-7699	353	4	contrary	contrary	ADJ
ap-7699	353	5	to	to	ADP
ap-7699	353	6	the	the	DET
ap-7699	353	7	case	case	NOUN
ap-7699	353	8	of	of	ADP
ap-7699	353	9	two	two	NUM
ap-7699	353	10	-	-	PUNCT
ap-7699	353	11	derivative	derivative	NOUN
ap-7699	353	12	theory	theory	NOUN
ap-7699	353	13	,	,	PUNCT
ap-7699	353	14	when	when	SCONJ
ap-7699	353	15	one	one	PRON
ap-7699	353	16	has	have	VERB
ap-7699	353	17	to	to	PART
ap-7699	353	18	take	take	VERB
ap-7699	353	19	this	this	DET
ap-7699	353	20	phenomena	phenomenon	NOUN
ap-7699	353	21	into	into	ADP
ap-7699	353	22	account	account	NOUN
ap-7699	353	23	,	,	PUNCT
ap-7699	353	24	although	although	SCONJ
ap-7699	353	25	its	its	PRON
ap-7699	353	26	expression	expression	NOUN
ap-7699	353	27	is	be	AUX
ap-7699	353	28	not	not	PART
ap-7699	353	29	gauge	gauge	NOUN
ap-7699	353	30	-	-	PUNCT
ap-7699	353	31	invariant	invariant	ADJ
ap-7699	353	32	and	and	CCONJ
ap-7699	353	33	depends	depend	VERB
ap-7699	353	34	on	on	ADP
ap-7699	353	35	the	the	DET
ap-7699	353	36	gauge	gauge	NOUN
ap-7699	353	37	fixing	fixing	NOUN
ap-7699	353	38	.	.	PUNCT
ap-7699	354	1	these	these	DET
ap-7699	354	2	nice	nice	ADJ
ap-7699	354	3	properties	property	NOUN
ap-7699	354	4	of	of	ADP
ap-7699	354	5	no	no	DET
ap-7699	354	6	need	need	NOUN
ap-7699	354	7	for	for	ADP
ap-7699	354	8	wave	wave	NOUN
ap-7699	354	9	function	function	NOUN
ap-7699	354	10	renormalization	renormalization	NOUN
ap-7699	354	11	can	can	AUX
ap-7699	354	12	be	be	AUX
ap-7699	354	13	easily	easily	ADV
ap-7699	354	14	understood	understand	VERB
ap-7699	354	15	in	in	ADP
ap-7699	354	16	the	the	DET
ap-7699	354	17	batalin	batalin	PROPN
ap-7699	354	18	-	-	PUNCT
ap-7699	354	19	vilkovisky	vilkovisky	NOUN
ap-7699	354	20	formalism	formalism	NOUN
ap-7699	354	21	for	for	ADP
ap-7699	354	22	quantization	quantization	NOUN
ap-7699	354	23	of	of	ADP
ap-7699	354	24	gauge	gauge	NOUN
ap-7699	354	25	theories	theory	NOUN
ap-7699	354	26	(	(	PUNCT
ap-7699	354	27	or	or	CCONJ
ap-7699	354	28	in	in	ADP
ap-7699	354	29	general	general	ADJ
ap-7699	354	30	theories	theory	NOUN
ap-7699	354	31	with	with	ADP
ap-7699	354	32	differential	differential	ADJ
ap-7699	354	33	constraints	constraint	NOUN
ap-7699	354	34	)	)	PUNCT
ap-7699	355	1	[	[	X
ap-7699	355	2	39	39	NUM
ap-7699	355	3	,	,	PUNCT
ap-7699	355	4	40	40	NUM
ap-7699	355	5	]	]	PUNCT
ap-7699	355	6	.	.	PUNCT
ap-7699	356	1	this	this	DET
ap-7699	356	2	important	important	ADJ
ap-7699	356	3	feature	feature	NOUN
ap-7699	356	4	is	be	AUX
ap-7699	356	5	also	also	ADV
ap-7699	356	6	shared	share	VERB
ap-7699	356	7	by	by	ADP
ap-7699	356	8	other	other	ADJ
ap-7699	356	9	,	,	PUNCT
ap-7699	356	10	for	for	ADP
ap-7699	356	11	example	example	NOUN
ap-7699	356	12	,	,	PUNCT
ap-7699	356	13	four	four	NUM
ap-7699	356	14	-	-	PUNCT
ap-7699	356	15	derivative	derivative	ADJ
ap-7699	356	16	qg	qg	PROPN
ap-7699	356	17	models	model	NOUN
ap-7699	356	18	.	.	PUNCT
ap-7699	357	1	since	since	SCONJ
ap-7699	357	2	the	the	DET
ap-7699	357	3	wave	wave	NOUN
ap-7699	357	4	function	function	NOUN
ap-7699	357	5	of	of	ADP
ap-7699	357	6	the	the	DET
ap-7699	357	7	graviton	graviton	NOUN
ap-7699	357	8	does	do	AUX
ap-7699	357	9	not	not	PART
ap-7699	357	10	receive	receive	VERB
ap-7699	357	11	any	any	DET
ap-7699	357	12	quantum	quantum	ADJ
ap-7699	357	13	correction	correction	NOUN
ap-7699	357	14	,	,	PUNCT
ap-7699	357	15	then	then	ADV
ap-7699	357	16	one	one	PRON
ap-7699	357	17	can	can	AUX
ap-7699	357	18	derive	derive	VERB
ap-7699	357	19	the	the	DET
ap-7699	357	20	form	form	NOUN
ap-7699	357	21	of	of	ADP
ap-7699	357	22	the	the	DET
ap-7699	357	23	beta	beta	NOUN
ap-7699	357	24	functions	function	NOUN
ap-7699	357	25	for	for	ADP
ap-7699	357	26	couplings	coupling	NOUN
ap-7699	357	27	just	just	ADV
ap-7699	357	28	from	from	ADP
ap-7699	357	29	reading	read	VERB
ap-7699	357	30	the	the	DET
ap-7699	357	31	uv	uv	NOUN
ap-7699	357	32	divergences	divergence	NOUN
ap-7699	357	33	of	of	ADP
ap-7699	357	34	the	the	DET
ap-7699	357	35	dressed	dressed	ADJ
ap-7699	357	36	two	two	NUM
ap-7699	357	37	-	-	PUNCT
ap-7699	357	38	point	point	NOUN
ap-7699	357	39	functions	function	NOUN
ap-7699	357	40	with	with	ADP
ap-7699	357	41	two	two	NUM
ap-7699	357	42	external	external	ADJ
ap-7699	357	43	graviton	graviton	NOUN
ap-7699	357	44	lines	line	NOUN
ap-7699	357	45	.	.	PUNCT
ap-7699	358	1	we	we	PRON
ap-7699	358	2	can	can	AUX
ap-7699	358	3	simplify	simplify	VERB
ap-7699	358	4	our	our	PRON
ap-7699	358	5	computation	computation	NOUN
ap-7699	358	6	drastically	drastically	ADV
ap-7699	358	7	since	since	SCONJ
ap-7699	358	8	for	for	ADP
ap-7699	358	9	this	this	DET
ap-7699	358	10	kind	kind	NOUN
ap-7699	358	11	of	of	ADP
ap-7699	358	12	one	one	NUM
ap-7699	358	13	-	-	PUNCT
ap-7699	358	14	loop	loop	NOUN
ap-7699	358	15	computation	computation	NOUN
ap-7699	358	16	we	we	PRON
ap-7699	358	17	do	do	AUX
ap-7699	358	18	not	not	PART
ap-7699	358	19	have	have	VERB
ap-7699	358	20	to	to	PART
ap-7699	358	21	bother	bother	VERB
ap-7699	358	22	ourselves	ourselves	PRON
ap-7699	358	23	with	with	ADP
ap-7699	358	24	the	the	DET
ap-7699	358	25	threeor	threeor	PROPN
ap-7699	358	26	higher	high	ADJ
ap-7699	358	27	n	n	CCONJ
ap-7699	358	28	-	-	PUNCT
ap-7699	358	29	point	point	NOUN
ap-7699	358	30	function	function	NOUN
ap-7699	358	31	to	to	PART
ap-7699	358	32	independently	independently	ADV
ap-7699	358	33	determine	determine	VERB
ap-7699	358	34	the	the	DET
ap-7699	358	35	wave	wave	NOUN
ap-7699	358	36	function	function	NOUN
ap-7699	358	37	renormalization	renormalization	NOUN
ap-7699	358	38	.	.	PUNCT
ap-7699	359	1	unfortunately	unfortunately	ADV
ap-7699	359	2	,	,	PUNCT
ap-7699	359	3	the	the	DET
ap-7699	359	4	latter	latter	ADJ
ap-7699	359	5	is	be	AUX
ap-7699	359	6	the	the	DET
ap-7699	359	7	case	case	NOUN
ap-7699	359	8	,	,	PUNCT
ap-7699	359	9	for	for	ADP
ap-7699	359	10	example	example	NOUN
ap-7699	359	11	,	,	PUNCT
ap-7699	359	12	for	for	ADP
ap-7699	359	13	standard	standard	ADJ
ap-7699	359	14	gauge	gauge	NOUN
ap-7699	359	15	theory	theory	NOUN
ap-7699	359	16	(	(	PUNCT
ap-7699	359	17	yang	yang	PROPN
ap-7699	359	18	-	-	PUNCT
ap-7699	359	19	mills	mill	NOUN
ap-7699	359	20	model	model	NOUN
ap-7699	359	21	)	)	PUNCT
ap-7699	359	22	or	or	CCONJ
ap-7699	359	23	for	for	ADP
ap-7699	359	24	e	e	NOUN
ap-7699	359	25	-	-	NOUN
ap-7699	359	26	h	h	ADJ
ap-7699	359	27	gravity	gravity	NOUN
ap-7699	359	28	,	,	PUNCT
ap-7699	359	29	where	where	SCONJ
ap-7699	359	30	the	the	DET
ap-7699	359	31	renormalization	renormalization	NOUN
ap-7699	359	32	of	of	ADP
ap-7699	359	33	the	the	DET
ap-7699	359	34	coupling	coupling	NOUN
ap-7699	359	35	constant	constant	ADJ
ap-7699	359	36	of	of	ADP
ap-7699	359	37	interactions	interaction	NOUN
ap-7699	359	38	has	have	VERB
ap-7699	359	39	to	to	PART
ap-7699	359	40	be	be	AUX
ap-7699	359	41	read	read	VERB
ap-7699	359	42	from	from	ADP
ap-7699	359	43	the	the	DET
ap-7699	359	44	combination	combination	NOUN
ap-7699	359	45	of	of	ADP
ap-7699	359	46	the	the	DET
ap-7699	359	47	twoand	twoand	ADJ
ap-7699	359	48	three	three	NUM
ap-7699	359	49	-	-	PUNCT
ap-7699	359	50	point	point	NOUN
ap-7699	359	51	functions	function	NOUN
ap-7699	359	52	of	of	ADP
ap-7699	359	53	the	the	DET
ap-7699	359	54	quantum	quantum	NOUN
ap-7699	359	55	theory	theory	NOUN
ap-7699	359	56	,	,	PUNCT
ap-7699	359	57	while	while	SCONJ
ap-7699	359	58	the	the	DET
ap-7699	359	59	wave	wave	NOUN
ap-7699	359	60	function	function	NOUN
ap-7699	359	61	renormalization	renormalization	NOUN
ap-7699	359	62	of	of	ADP
ap-7699	359	63	gauge	gauge	ADJ
ap-7699	359	64	fields	field	NOUN
ap-7699	359	65	or	or	CCONJ
ap-7699	359	66	graviton	graviton	NOUN
ap-7699	359	67	field	field	NOUN
ap-7699	359	68	respectively	respectively	ADV
ap-7699	359	69	can	can	AUX
ap-7699	359	70	be	be	AUX
ap-7699	359	71	just	just	ADV
ap-7699	359	72	read	read	VERB
ap-7699	359	73	from	from	ADP
ap-7699	359	74	quantum	quantum	NOUN
ap-7699	359	75	dressed	dress	VERB
ap-7699	359	76	two	two	NUM
ap-7699	359	77	-	-	PUNCT
ap-7699	359	78	point	point	NOUN
ap-7699	359	79	green	green	ADJ
ap-7699	359	80	function	function	NOUN
ap-7699	359	81	.	.	PUNCT
ap-7699	360	1	for	for	ADP
ap-7699	360	2	the	the	DET
ap-7699	360	3	case	case	NOUN
ap-7699	360	4	of	of	ADP
ap-7699	360	5	six	six	NUM
ap-7699	360	6	-	-	PUNCT
ap-7699	360	7	derivative	derivative	ADJ
ap-7699	360	8	theories	theory	NOUN
ap-7699	360	9	,	,	PUNCT
ap-7699	360	10	just	just	ADV
ap-7699	360	11	from	from	ADP
ap-7699	360	12	the	the	DET
ap-7699	360	13	two	two	NUM
ap-7699	360	14	-	-	PUNCT
ap-7699	360	15	point	point	NOUN
ap-7699	360	16	function	function	NOUN
ap-7699	360	17	we	we	PRON
ap-7699	360	18	can	can	AUX
ap-7699	360	19	read	read	VERB
ap-7699	360	20	everything	everything	PRON
ap-7699	360	21	about	about	ADP
ap-7699	360	22	the	the	DET
ap-7699	360	23	renormalization	renormalization	NOUN
ap-7699	360	24	of	of	ADP
ap-7699	360	25	the	the	DET
ap-7699	360	26	coupling	couple	VERB
ap-7699	360	27	parameters	parameter	NOUN
ap-7699	360	28	of	of	ADP
ap-7699	360	29	gravitons	graviton	NOUN
ap-7699	360	30	’	'	PUNCT
ap-7699	360	31	interactions	interaction	NOUN
ap-7699	360	32	.	.	PUNCT
ap-7699	361	1	additionally	additionally	ADV
ap-7699	361	2	,	,	PUNCT
ap-7699	361	3	we	we	PRON
ap-7699	361	4	have	have	VERB
ap-7699	361	5	that	that	PRON
ap-7699	361	6	on	on	ADP
ap-7699	361	7	the	the	DET
ap-7699	361	8	first	first	ADJ
ap-7699	361	9	quantum	quantum	NOUN
ap-7699	361	10	loop	loop	NOUN
ap-7699	361	11	level	level	NOUN
ap-7699	361	12	we	we	PRON
ap-7699	361	13	do	do	AUX
ap-7699	361	14	not	not	PART
ap-7699	361	15	need	need	VERB
ap-7699	361	16	to	to	PART
ap-7699	361	17	study	study	VERB
ap-7699	361	18	effective	effective	ADJ
ap-7699	361	19	interaction	interaction	NOUN
ap-7699	361	20	vertices	vertex	NOUN
ap-7699	361	21	dressed	dress	VERB
ap-7699	361	22	by	by	ADP
ap-7699	361	23	quantum	quantum	ADJ
ap-7699	361	24	corrections	correction	NOUN
ap-7699	361	25	.	.	PUNCT
ap-7699	362	1	hence	hence	ADV
ap-7699	362	2	,	,	PUNCT
ap-7699	362	3	here	here	ADV
ap-7699	362	4	at	at	ADP
ap-7699	362	5	the	the	DET
ap-7699	362	6	one	one	NUM
ap-7699	362	7	-	-	PUNCT
ap-7699	362	8	loop	loop	NOUN
ap-7699	362	9	level	level	NOUN
ap-7699	362	10	there	there	PRON
ap-7699	362	11	is	be	VERB
ap-7699	362	12	no	no	DET
ap-7699	362	13	quantum	quantum	ADJ
ap-7699	362	14	renormalization	renormalization	NOUN
ap-7699	362	15	of	of	ADP
ap-7699	362	16	the	the	DET
ap-7699	362	17	graviton	graviton	NOUN
ap-7699	362	18	’s	’s	PART
ap-7699	362	19	wave	wave	NOUN
ap-7699	362	20	function	function	NOUN
ap-7699	362	21	and	and	CCONJ
ap-7699	362	22	uv	uv	NOUN
ap-7699	362	23	divergences	divergence	NOUN
ap-7699	362	24	related	relate	VERB
ap-7699	362	25	to	to	ADP
ap-7699	362	26	interactions	interaction	NOUN
ap-7699	362	27	are	be	AUX
ap-7699	362	28	derived	derive	VERB
ap-7699	362	29	solely	solely	ADV
ap-7699	362	30	from	from	ADP
ap-7699	362	31	propagation	propagation	NOUN
ap-7699	362	32	of	of	ADP
ap-7699	362	33	free	free	ADJ
ap-7699	362	34	modes	mode	NOUN
ap-7699	362	35	(	(	PUNCT
ap-7699	362	36	here	here	ADV
ap-7699	362	37	of	of	ADP
ap-7699	362	38	graviton	graviton	NOUN
ap-7699	362	39	fields	field	NOUN
ap-7699	362	40	)	)	PUNCT
ap-7699	362	41	around	around	ADP
ap-7699	362	42	the	the	DET
ap-7699	362	43	flat	flat	ADJ
ap-7699	362	44	spacetime	spacetime	NOUN
ap-7699	362	45	and	and	CCONJ
ap-7699	362	46	corrected	correct	VERB
ap-7699	362	47	(	(	PUNCT
ap-7699	362	48	dressed	dressed	ADJ
ap-7699	362	49	)	)	PUNCT
ap-7699	362	50	at	at	ADP
ap-7699	362	51	the	the	DET
ap-7699	362	52	first	first	ADJ
ap-7699	362	53	quantum	quantum	ADJ
ap-7699	362	54	loop	loop	NOUN
ap-7699	362	55	.	.	PUNCT
ap-7699	363	1	effective	effective	ADJ
ap-7699	363	2	vertices	vertex	NOUN
ap-7699	363	3	of	of	ADP
ap-7699	363	4	interactions	interaction	NOUN
ap-7699	363	5	between	between	ADP
ap-7699	363	6	gravitons	graviton	NOUN
ap-7699	363	7	do	do	AUX
ap-7699	363	8	not	not	PART
ap-7699	363	9	matter	matter	VERB
ap-7699	363	10	for	for	ADP
ap-7699	363	11	this	this	PRON
ap-7699	363	12	,	,	PUNCT
ap-7699	363	13	but	but	CCONJ
ap-7699	363	14	that	that	DET
ap-7699	363	15	situation	situation	NOUN
ap-7699	363	16	may	may	AUX
ap-7699	363	17	be	be	AUX
ap-7699	363	18	changed	change	VERB
ap-7699	363	19	at	at	ADP
ap-7699	363	20	higher	high	ADJ
ap-7699	363	21	loop	loop	NOUN
ap-7699	363	22	orders	order	NOUN
ap-7699	363	23	.	.	PUNCT
ap-7699	364	1	at	at	ADP
ap-7699	364	2	the	the	DET
ap-7699	364	3	one	one	NUM
ap-7699	364	4	-	-	PUNCT
ap-7699	364	5	loop	loop	NOUN
ap-7699	364	6	level	level	NOUN
ap-7699	364	7	this	this	PRON
ap-7699	364	8	is	be	AUX
ap-7699	364	9	a	a	DET
ap-7699	364	10	great	great	ADJ
ap-7699	364	11	simplification	simplification	NOUN
ap-7699	364	12	for	for	ADP
ap-7699	364	13	our	our	PRON
ap-7699	364	14	algorithm	algorithm	NOUN
ap-7699	364	15	of	of	ADP
ap-7699	364	16	derivation	derivation	NOUN
ap-7699	364	17	of	of	ADP
ap-7699	364	18	the	the	DET
ap-7699	364	19	covariant	covariant	ADJ
ap-7699	364	20	form	form	NOUN
ap-7699	364	21	of	of	ADP
ap-7699	364	22	uv	uv	NOUN
ap-7699	364	23	divergences	divergence	NOUN
ap-7699	364	24	since	since	SCONJ
ap-7699	364	25	we	we	PRON
ap-7699	364	26	just	just	ADV
ap-7699	364	27	need	need	VERB
ap-7699	364	28	to	to	PART
ap-7699	364	29	extract	extract	VERB
ap-7699	364	30	them	they	PRON
ap-7699	364	31	from	from	ADP
ap-7699	364	32	the	the	DET
ap-7699	364	33	expression	expression	NOUN
ap-7699	364	34	for	for	ADP
ap-7699	364	35	one	one	NUM
ap-7699	364	36	-	-	PUNCT
ap-7699	364	37	loop	loop	NOUN
ap-7699	364	38	perturbative	perturbative	ADJ
ap-7699	364	39	two	two	NUM
ap-7699	364	40	-	-	PUNCT
ap-7699	364	41	point	point	NOUN
ap-7699	364	42	correlators	correlator	NOUN
ap-7699	364	43	of	of	ADP
ap-7699	364	44	the	the	DET
ap-7699	364	45	theory	theory	NOUN
ap-7699	364	46	,	,	PUNCT
ap-7699	364	47	both	both	PRON
ap-7699	364	48	in	in	ADP
ap-7699	364	49	cases	case	NOUN
ap-7699	364	50	of	of	ADP
ap-7699	364	51	fourand	fourand	ADJ
ap-7699	364	52	six	six	NUM
ap-7699	364	53	-	-	PUNCT
ap-7699	364	54	derivative	derivative	ADJ
ap-7699	364	55	qg	qg	PROPN
ap-7699	364	56	models	model	NOUN
ap-7699	364	57	.	.	PUNCT
ap-7699	365	1	all	all	DET
ap-7699	365	2	these	these	DET
ap-7699	365	3	nice	nice	ADJ
ap-7699	365	4	features	feature	NOUN
ap-7699	365	5	of	of	ADP
ap-7699	365	6	the	the	DET
ap-7699	365	7	six	six	NUM
ap-7699	365	8	-	-	PUNCT
ap-7699	365	9	derivative	derivative	ADJ
ap-7699	365	10	qg	qg	PROPN
ap-7699	365	11	model	model	NOUN
ap-7699	365	12	makes	make	VERB
ap-7699	365	13	it	it	PRON
ap-7699	365	14	further	far	ADV
ap-7699	365	15	worth	worth	ADJ
ap-7699	365	16	studying	study	VERB
ap-7699	365	17	as	as	ADP
ap-7699	365	18	an	an	DET
ap-7699	365	19	example	example	NOUN
ap-7699	365	20	of	of	ADP
ap-7699	365	21	non	non	ADJ
ap-7699	365	22	-	-	ADJ
ap-7699	365	23	trivial	trivial	ADJ
ap-7699	365	24	rg	rg	NOUN
ap-7699	365	25	flows	flow	NOUN
ap-7699	365	26	in	in	ADP
ap-7699	365	27	qg	qg	PROPN
ap-7699	365	28	.	.	PUNCT
ap-7699	366	1	here	here	ADV
ap-7699	366	2	we	we	PRON
ap-7699	366	3	have	have	VERB
ap-7699	366	4	exactness	exactness	NOUN
ap-7699	366	5	of	of	ADP
ap-7699	366	6	one	one	NUM
ap-7699	366	7	-	-	PUNCT
ap-7699	366	8	loop	loop	NOUN
ap-7699	366	9	expressions	expression	NOUN
ap-7699	366	10	for	for	ADP
ap-7699	366	11	running	run	VERB
ap-7699	366	12	θc(t	θc(t	NUM
ap-7699	366	13	)	)	PUNCT
ap-7699	366	14	,	,	PUNCT
ap-7699	366	15	θr(t	θr(t	NOUN
ap-7699	366	16	)	)	PUNCT
ap-7699	366	17	and	and	CCONJ
ap-7699	366	18	θgb(t	θgb(t	PROPN
ap-7699	366	19	)	)	PUNCT
ap-7699	366	20	coupling	couple	VERB
ap-7699	366	21	parameters	parameter	NOUN
ap-7699	366	22	in	in	ADP
ap-7699	366	23	(	(	PUNCT
ap-7699	366	24	6	6	NUM
ap-7699	366	25	)	)	PUNCT
ap-7699	366	26	,	,	PUNCT
ap-7699	366	27	together	together	ADV
ap-7699	366	28	with	with	ADP
ap-7699	366	29	superrenormalizability	superrenormalizability	NOUN
ap-7699	366	30	.	.	PUNCT
ap-7699	367	1	this	this	PRON
ap-7699	367	2	is	be	AUX
ap-7699	367	3	one	one	NUM
ap-7699	367	4	of	of	ADP
ap-7699	367	5	the	the	DET
ap-7699	367	6	most	most	ADV
ap-7699	367	7	powerful	powerful	ADJ
ap-7699	367	8	and	and	CCONJ
ap-7699	367	9	beautiful	beautiful	ADJ
ap-7699	367	10	features	feature	NOUN
ap-7699	367	11	of	of	ADP
ap-7699	367	12	the	the	DET
ap-7699	367	13	super	super	NOUN
ap-7699	367	14	-	-	ADJ
ap-7699	367	15	renormalizable	renormalizable	ADJ
ap-7699	367	16	qg	qg	PROPN
ap-7699	367	17	theory	theory	NOUN
ap-7699	367	18	analyzed	analyze	VERB
ap-7699	367	19	here	here	ADV
ap-7699	367	20	.	.	PUNCT
ap-7699	368	1	therefore	therefore	ADV
ap-7699	368	2	,	,	PUNCT
ap-7699	368	3	this	this	DET
ap-7699	368	4	model	model	NOUN
ap-7699	368	5	gives	give	VERB
ap-7699	368	6	us	we	PRON
ap-7699	368	7	a	a	DET
ap-7699	368	8	good	good	ADJ
ap-7699	368	9	and	and	CCONJ
ap-7699	368	10	promising	promise	VERB
ap-7699	368	11	theoretical	theoretical	ADJ
ap-7699	368	12	laboratory	laboratory	NOUN
ap-7699	368	13	for	for	ADP
ap-7699	368	14	studying	study	VERB
ap-7699	368	15	rg	rg	PROPN
ap-7699	368	16	flows	flow	NOUN
ap-7699	368	17	in	in	ADP
ap-7699	368	18	general	general	ADJ
ap-7699	368	19	quantum	quantum	ADJ
ap-7699	368	20	gravitational	gravitational	ADJ
ap-7699	368	21	theories	theory	NOUN
ap-7699	368	22	understood	understand	VERB
ap-7699	368	23	in	in	ADP
ap-7699	368	24	the	the	DET
ap-7699	368	25	field	field	NOUN
ap-7699	368	26	-	-	PUNCT
ap-7699	368	27	theoretical	theoretical	ADJ
ap-7699	368	28	framework	framework	NOUN
ap-7699	368	29	.	.	PUNCT
ap-7699	369	1	we	we	PRON
ap-7699	369	2	remark	remark	VERB
ap-7699	369	3	that	that	SCONJ
ap-7699	369	4	from	from	ADP
ap-7699	369	5	a	a	DET
ap-7699	369	6	technical	technical	ADJ
ap-7699	369	7	point	point	NOUN
ap-7699	369	8	of	of	ADP
ap-7699	369	9	view	view	NOUN
ap-7699	369	10	,	,	PUNCT
ap-7699	369	11	the	the	DET
ap-7699	369	12	one	one	NUM
ap-7699	369	13	-	-	PUNCT
ap-7699	369	14	loop	loop	NOUN
ap-7699	369	15	calculations	calculation	NOUN
ap-7699	369	16	in	in	ADP
ap-7699	369	17	super	super	ADJ
ap-7699	369	18	-	-	ADJ
ap-7699	369	19	renormalizable	renormalizable	ADJ
ap-7699	369	20	models	model	NOUN
ap-7699	369	21	of	of	ADP
ap-7699	369	22	qg	qg	PROPN
ap-7699	369	23	are	be	AUX
ap-7699	369	24	more	more	ADV
ap-7699	369	25	difficult	difficult	ADJ
ap-7699	369	26	when	when	SCONJ
ap-7699	369	27	compared	compare	VERB
ap-7699	369	28	to	to	ADP
ap-7699	369	29	the	the	DET
ap-7699	369	30	ones	one	NOUN
ap-7699	369	31	done	do	VERB
ap-7699	369	32	in	in	ADP
ap-7699	369	33	the	the	DET
ap-7699	369	34	four	four	NUM
ap-7699	369	35	-	-	PUNCT
ap-7699	369	36	derivative	derivative	ADJ
ap-7699	369	37	just	just	ADV
ap-7699	369	38	renormalizable	renormalizable	ADJ
ap-7699	369	39	gravitational	gravitational	ADJ
ap-7699	369	40	models	model	NOUN
ap-7699	369	41	[	[	X
ap-7699	369	42	27	27	NUM
ap-7699	369	43	,	,	PUNCT
ap-7699	369	44	41–43	41–43	NUM
ap-7699	369	45	]	]	PUNCT
ap-7699	369	46	.	.	PUNCT
ap-7699	370	1	the	the	DET
ap-7699	370	2	level	level	NOUN
ap-7699	370	3	of	of	ADP
ap-7699	370	4	complexity	complexity	NOUN
ap-7699	370	5	of	of	ADP
ap-7699	370	6	such	such	ADJ
ap-7699	370	7	calculations	calculation	NOUN
ap-7699	370	8	depends	depend	VERB
ap-7699	370	9	strongly	strongly	ADV
ap-7699	370	10	on	on	ADP
ap-7699	370	11	the	the	DET
ap-7699	370	12	number	number	NOUN
ap-7699	370	13	of	of	ADP
ap-7699	370	14	derivatives	derivative	NOUN
ap-7699	370	15	in	in	ADP
ap-7699	370	16	the	the	DET
ap-7699	370	17	classical	classical	ADJ
ap-7699	370	18	action	action	NOUN
ap-7699	370	19	of	of	ADP
ap-7699	370	20	the	the	DET
ap-7699	370	21	model	model	NOUN
ap-7699	370	22	as	as	ADV
ap-7699	370	23	well	well	ADV
ap-7699	370	24	as	as	ADP
ap-7699	370	25	on	on	ADP
ap-7699	370	26	the	the	DET
ap-7699	370	27	type	type	NOUN
ap-7699	370	28	of	of	ADP
ap-7699	370	29	one	one	NUM
ap-7699	370	30	-	-	PUNCT
ap-7699	370	31	loop	loop	NOUN
ap-7699	370	32	counterterms	counterterm	NOUN
ap-7699	370	33	one	one	PRON
ap-7699	370	34	is	be	AUX
ap-7699	370	35	looking	look	VERB
ap-7699	370	36	for	for	ADP
ap-7699	370	37	.	.	PUNCT
ap-7699	371	1	the	the	DET
ap-7699	371	2	counterterm	counterterm	NOUN
ap-7699	371	3	for	for	ADP
ap-7699	371	4	the	the	DET
ap-7699	371	5	cosmological	cosmological	ADJ
ap-7699	371	6	constant	constant	NOUN
ap-7699	371	7	is	be	AUX
ap-7699	371	8	actually	actually	ADV
ap-7699	371	9	very	very	ADV
ap-7699	371	10	easy	easy	ADJ
ap-7699	371	11	to	to	PART
ap-7699	371	12	obtain	obtain	VERB
ap-7699	371	13	and	and	CCONJ
ap-7699	371	14	this	this	PRON
ap-7699	371	15	was	be	AUX
ap-7699	371	16	done	do	VERB
ap-7699	371	17	already	already	ADV
ap-7699	371	18	in	in	ADP
ap-7699	371	19	[	[	X
ap-7699	371	20	12	12	NUM
ap-7699	371	21	]	]	PUNCT
ap-7699	371	22	.	.	PUNCT
ap-7699	372	1	next	next	ADV
ap-7699	372	2	,	,	PUNCT
ap-7699	372	3	the	the	DET
ap-7699	372	4	derivation	derivation	NOUN
ap-7699	372	5	of	of	ADP
ap-7699	372	6	the	the	DET
ap-7699	372	7	divergence	divergence	NOUN
ap-7699	372	8	linear	linear	NOUN
ap-7699	372	9	in	in	ADP
ap-7699	372	10	the	the	DET
ap-7699	372	11	scalar	scalar	ADJ
ap-7699	372	12	curvature	curvature	NOUN
ap-7699	372	13	r	r	NOUN
ap-7699	372	14	requires	require	VERB
ap-7699	372	15	really	really	ADV
ap-7699	372	16	big	big	ADJ
ap-7699	372	17	efforts	effort	NOUN
ap-7699	372	18	and	and	CCONJ
ap-7699	372	19	was	be	AUX
ap-7699	372	20	achieved	achieve	VERB
ap-7699	372	21	only	only	ADV
ap-7699	372	22	recently	recently	ADV
ap-7699	372	23	in	in	ADP
ap-7699	372	24	our	our	PRON
ap-7699	372	25	collaboration	collaboration	NOUN
ap-7699	372	26	in	in	ADP
ap-7699	372	27	[	[	X
ap-7699	372	28	44	44	NUM
ap-7699	372	29	]	]	PUNCT
ap-7699	372	30	.	.	PUNCT
ap-7699	373	1	in	in	ADP
ap-7699	373	2	the	the	DET
ap-7699	373	3	present	present	ADJ
ap-7699	373	4	work	work	NOUN
ap-7699	373	5	,	,	PUNCT
ap-7699	373	6	we	we	PRON
ap-7699	373	7	comment	comment	VERB
ap-7699	373	8	on	on	ADP
ap-7699	373	9	the	the	DET
ap-7699	373	10	next	next	ADJ
ap-7699	373	11	step	step	NOUN
ap-7699	373	12	,	,	PUNCT
ap-7699	373	13	and	and	CCONJ
ap-7699	373	14	we	we	PRON
ap-7699	373	15	show	show	VERB
ap-7699	373	16	the	the	DET
ap-7699	373	17	results	result	NOUN
ap-7699	373	18	of	of	ADP
ap-7699	373	19	the	the	DET
ap-7699	373	20	calculations	calculation	NOUN
ap-7699	373	21	of	of	ADP
ap-7699	373	22	the	the	DET
ap-7699	373	23	simply	simply	ADV
ap-7699	373	24	looking	look	VERB
ap-7699	373	25	one	one	NUM
ap-7699	373	26	-	-	PUNCT
ap-7699	373	27	loop	loop	NOUN
ap-7699	373	28	uv	uv	NOUN
ap-7699	373	29	divergences	divergence	NOUN
ap-7699	373	30	for	for	ADP
ap-7699	373	31	the	the	DET
ap-7699	373	32	four	four	NUM
ap-7699	373	33	-	-	PUNCT
ap-7699	373	34	derivative	derivative	ADJ
ap-7699	373	35	sector	sector	NOUN
ap-7699	373	36	in	in	ADP
ap-7699	373	37	the	the	DET
ap-7699	373	38	six	six	NUM
ap-7699	373	39	-	-	PUNCT
ap-7699	373	40	derivative	derivative	ADJ
ap-7699	373	41	minimal	minimal	ADJ
ap-7699	373	42	gravity	gravity	NOUN
ap-7699	373	43	model	model	NOUN
ap-7699	373	44	.	.	PUNCT
ap-7699	374	1	in	in	ADP
ap-7699	374	2	our	our	PRON
ap-7699	374	3	result	result	NOUN
ap-7699	374	4	,	,	PUNCT
ap-7699	374	5	we	we	PRON
ap-7699	374	6	have	have	VERB
ap-7699	374	7	now	now	ADV
ap-7699	374	8	full	full	ADJ
ap-7699	374	9	answers	answer	NOUN
ap-7699	374	10	to	to	ADP
ap-7699	374	11	the	the	DET
ap-7699	374	12	beta	beta	NOUN
ap-7699	374	13	functions	function	NOUN
ap-7699	374	14	for	for	ADP
ap-7699	374	15	the	the	DET
ap-7699	374	16	weyl	weyl	VERB
ap-7699	374	17	-	-	PUNCT
ap-7699	374	18	squared	square	VERB
ap-7699	374	19	c2	c2	PROPN
ap-7699	374	20	,	,	PUNCT
ap-7699	374	21	ricci	ricci	PROPN
ap-7699	374	22	scalar	scalar	ADV
ap-7699	374	23	-	-	PUNCT
ap-7699	374	24	squared	square	VERB
ap-7699	374	25	r2	r2	NOUN
ap-7699	374	26	and	and	CCONJ
ap-7699	374	27	the	the	DET
ap-7699	374	28	gauss	gauss	ADJ
ap-7699	374	29	-	-	PUNCT
ap-7699	374	30	bonnet	bonnet	NOUN
ap-7699	374	31	gb	gb	NOUN
ap-7699	374	32	scalar	scalar	ADJ
ap-7699	374	33	terms	term	NOUN
ap-7699	374	34	.	.	PUNCT
ap-7699	375	1	the	the	DET
ap-7699	375	2	calculation	calculation	NOUN
ap-7699	375	3	is	be	AUX
ap-7699	375	4	really	really	ADV
ap-7699	375	5	tedious	tedious	ADJ
ap-7699	375	6	and	and	CCONJ
ap-7699	375	7	cumbersome	cumbersome	ADJ
ap-7699	375	8	and	and	CCONJ
ap-7699	375	9	it	it	PRON
ap-7699	375	10	was	be	AUX
ap-7699	375	11	done	do	VERB
ap-7699	375	12	for	for	ADP
ap-7699	375	13	the	the	DET
ap-7699	375	14	simplest	simple	ADJ
ap-7699	375	15	possible	possible	ADJ
ap-7699	375	16	six	six	NUM
ap-7699	375	17	-	-	PUNCT
ap-7699	375	18	derivative	derivative	ADJ
ap-7699	375	19	qg	qg	PROPN
ap-7699	375	20	theory	theory	NOUN
ap-7699	375	21	without	without	ADP
ap-7699	375	22	cubic	cubic	ADJ
ap-7699	375	23	terms	term	NOUN
ap-7699	375	24	in	in	ADP
ap-7699	375	25	the	the	DET
ap-7699	375	26	classical	classical	ADJ
ap-7699	375	27	action	action	NOUN
ap-7699	375	28	,	,	PUNCT
ap-7699	375	29	which	which	PRON
ap-7699	375	30	here	here	ADV
ap-7699	375	31	would	would	AUX
ap-7699	375	32	be	be	AUX
ap-7699	375	33	third	third	ADJ
ap-7699	375	34	powers	power	NOUN
ap-7699	375	35	of	of	ADP
ap-7699	375	36	the	the	DET
ap-7699	375	37	generalized	generalized	ADJ
ap-7699	375	38	curvature	curvature	NOUN
ap-7699	375	39	tensor	tensor	NOUN
ap-7699	375	40	r3	r3	NOUN
ap-7699	375	41	.	.	PUNCT
ap-7699	376	1	even	even	ADV
ap-7699	376	2	in	in	ADP
ap-7699	376	3	this	this	DET
ap-7699	376	4	simplest	simple	ADJ
ap-7699	376	5	minimal	minimal	ADJ
ap-7699	376	6	case	case	NOUN
ap-7699	376	7	,	,	PUNCT
ap-7699	376	8	the	the	DET
ap-7699	376	9	intermediate	intermediate	ADJ
ap-7699	376	10	expressions	expression	NOUN
ap-7699	376	11	are	be	AUX
ap-7699	376	12	too	too	ADV
ap-7699	376	13	large	large	ADJ
ap-7699	376	14	for	for	ADP
ap-7699	376	15	the	the	DET
ap-7699	376	16	explicit	explicit	ADJ
ap-7699	376	17	presentation	presentation	NOUN
ap-7699	376	18	here	here	ADV
ap-7699	376	19	,	,	PUNCT
ap-7699	376	20	hence	hence	ADV
ap-7699	376	21	they	they	PRON
ap-7699	376	22	will	will	AUX
ap-7699	376	23	be	be	AUX
ap-7699	376	24	mostly	mostly	ADV
ap-7699	376	25	omitted	omit	VERB
ap-7699	376	26	.	.	PUNCT
ap-7699	377	1	similar	similar	ADJ
ap-7699	377	2	computations	computation	NOUN
ap-7699	377	3	in	in	ADP
ap-7699	377	4	four-	four-	ADV
ap-7699	377	5	,	,	PUNCT
ap-7699	377	6	sixand	sixand	NOUN
ap-7699	377	7	general	general	ADJ
ap-7699	377	8	higher	high	ADJ
ap-7699	377	9	-	-	PUNCT
ap-7699	377	10	derivative	derivative	ADJ
ap-7699	377	11	gauge	gauge	NOUN
ap-7699	377	12	theory	theory	NOUN
ap-7699	377	13	were	be	AUX
ap-7699	377	14	also	also	ADV
ap-7699	377	15	performed	perform	VERB
ap-7699	377	16	in	in	ADP
ap-7699	377	17	[	[	X
ap-7699	377	18	30	30	NUM
ap-7699	377	19	,	,	PUNCT
ap-7699	377	20	45	45	NUM
ap-7699	377	21	,	,	PUNCT
ap-7699	377	22	46	46	NUM
ap-7699	377	23	]	]	PUNCT
ap-7699	377	24	.	.	PUNCT
ap-7699	378	1	as	as	SCONJ
ap-7699	378	2	it	it	PRON
ap-7699	378	3	was	be	AUX
ap-7699	378	4	already	already	ADV
ap-7699	378	5	mentioned	mention	VERB
ap-7699	378	6	above	above	ADV
ap-7699	378	7	,	,	PUNCT
ap-7699	378	8	the	the	DET
ap-7699	378	9	derivation	derivation	NOUN
ap-7699	378	10	of	of	ADP
ap-7699	378	11	zeroand	zeroand	PROPN
ap-7699	378	12	two	two	NUM
ap-7699	378	13	-	-	PUNCT
ap-7699	378	14	derivative	derivative	NOUN
ap-7699	378	15	ultraviolet	ultraviolet	NOUN
ap-7699	378	16	divergences	divergence	NOUN
ap-7699	378	17	has	have	AUX
ap-7699	378	18	been	be	AUX
ap-7699	378	19	previously	previously	ADV
ap-7699	378	20	done	do	VERB
ap-7699	378	21	in	in	ADP
ap-7699	378	22	refs	ref	NOUN
ap-7699	378	23	.	.	PUNCT
ap-7699	379	1	[	[	X
ap-7699	379	2	12	12	NUM
ap-7699	379	3	]	]	PUNCT
ap-7699	379	4	and	and	CCONJ
ap-7699	379	5	[	[	X
ap-7699	379	6	44	44	NUM
ap-7699	379	7	]	]	PUNCT
ap-7699	379	8	.	.	PUNCT
ap-7699	380	1	below	below	ADP
ap-7699	380	2	we	we	PRON
ap-7699	380	3	will	will	AUX
ap-7699	380	4	show	show	VERB
ap-7699	380	5	the	the	DET
ap-7699	380	6	results	result	NOUN
ap-7699	380	7	for	for	ADP
ap-7699	380	8	the	the	DET
ap-7699	380	9	complete	complete	ADJ
ap-7699	380	10	set	set	NOUN
ap-7699	380	11	of	of	ADP
ap-7699	380	12	beta	beta	NOUN
ap-7699	380	13	functions	function	NOUN
ap-7699	380	14	for	for	ADP
ap-7699	380	15	the	the	DET
ap-7699	380	16	theory	theory	NOUN
ap-7699	380	17	(	(	PUNCT
ap-7699	380	18	10	10	NUM
ap-7699	380	19	)	)	PUNCT
ap-7699	380	20	.	.	PUNCT
ap-7699	381	1	this	this	PRON
ap-7699	381	2	we	we	PRON
ap-7699	381	3	will	will	AUX
ap-7699	381	4	achieve	achieve	VERB
ap-7699	381	5	by	by	ADP
ap-7699	381	6	deriving	derive	VERB
ap-7699	381	7	the	the	DET
ap-7699	381	8	exact	exact	NOUN
ap-7699	381	9	and	and	CCONJ
ap-7699	381	10	computed	compute	VERB
ap-7699	381	11	at	at	ADP
ap-7699	381	12	one	one	NUM
ap-7699	381	13	-	-	PUNCT
ap-7699	381	14	loop	loop	NOUN
ap-7699	381	15	beta	beta	NOUN
ap-7699	381	16	function	function	NOUN
ap-7699	381	17	coefficients	coefficient	NOUN
ap-7699	381	18	for	for	ADP
ap-7699	381	19	the	the	DET
ap-7699	381	20	four	four	NUM
ap-7699	381	21	-	-	PUNCT
ap-7699	381	22	derivative	derivative	ADJ
ap-7699	381	23	gravitational	gravitational	ADJ
ap-7699	381	24	128	128	NUM
ap-7699	381	25	vol	vol	NOUN
ap-7699	381	26	.	.	PUNCT
ap-7699	382	1	62	62	NUM
ap-7699	382	2	no	no	INTJ
ap-7699	382	3	.	.	PUNCT
ap-7699	383	1	1/2022	1/2022	NUM
ap-7699	383	2	beta	beta	NOUN
ap-7699	383	3	functions	function	NOUN
ap-7699	383	4	in	in	ADP
ap-7699	383	5	six	six	NUM
ap-7699	383	6	-	-	PUNCT
ap-7699	383	7	derivative	derivative	ADJ
ap-7699	383	8	quantum	quantum	NOUN
ap-7699	383	9	gravity	gravity	NOUN
ap-7699	383	10	couplings	coupling	NOUN
ap-7699	383	11	,	,	PUNCT
ap-7699	383	12	namely	namely	ADV
ap-7699	383	13	θc	θc	VERB
ap-7699	383	14	,	,	PUNCT
ap-7699	383	15	θr	θr	NOUN
ap-7699	383	16	and	and	CCONJ
ap-7699	383	17	θgb	θgb	NOUN
ap-7699	383	18	,	,	PUNCT
ap-7699	383	19	extracted	extract	VERB
ap-7699	383	20	as	as	ADP
ap-7699	383	21	the	the	DET
ap-7699	383	22	coefficients	coefficient	NOUN
ap-7699	383	23	of	of	ADP
ap-7699	383	24	the	the	DET
ap-7699	383	25	uv	uv	NOUN
ap-7699	383	26	-	-	PUNCT
ap-7699	383	27	divergent	divergent	ADJ
ap-7699	383	28	part	part	NOUN
ap-7699	383	29	of	of	ADP
ap-7699	383	30	the	the	DET
ap-7699	383	31	effective	effective	ADJ
ap-7699	383	32	action	action	NOUN
ap-7699	383	33	in	in	ADP
ap-7699	383	34	(	(	PUNCT
ap-7699	383	35	1	1	NUM
ap-7699	383	36	)	)	PUNCT
ap-7699	383	37	.	.	PUNCT
ap-7699	384	1	without	without	ADP
ap-7699	384	2	loss	loss	NOUN
ap-7699	384	3	of	of	ADP
ap-7699	384	4	generality	generality	NOUN
ap-7699	384	5	,	,	PUNCT
ap-7699	384	6	the	the	DET
ap-7699	384	7	calculation	calculation	NOUN
ap-7699	384	8	will	will	AUX
ap-7699	384	9	be	be	AUX
ap-7699	384	10	performed	perform	VERB
ap-7699	384	11	in	in	ADP
ap-7699	384	12	the	the	DET
ap-7699	384	13	reduced	reduced	ADJ
ap-7699	384	14	model	model	NOUN
ap-7699	384	15	(	(	PUNCT
ap-7699	384	16	10	10	NUM
ap-7699	384	17	)	)	PUNCT
ap-7699	384	18	,	,	PUNCT
ap-7699	384	19	so	so	CCONJ
ap-7699	384	20	without	without	ADP
ap-7699	384	21	terms	term	NOUN
ap-7699	384	22	subleading	subleade	VERB
ap-7699	384	23	in	in	ADP
ap-7699	384	24	the	the	DET
ap-7699	384	25	number	number	NOUN
ap-7699	384	26	of	of	ADP
ap-7699	384	27	partial	partial	ADJ
ap-7699	384	28	derivatives	derivative	NOUN
ap-7699	384	29	acting	act	VERB
ap-7699	384	30	on	on	ADP
ap-7699	384	31	the	the	DET
ap-7699	384	32	metric	metric	ADJ
ap-7699	384	33	tensor	tensor	NOUN
ap-7699	384	34	after	after	ADP
ap-7699	384	35	the	the	DET
ap-7699	384	36	proper	proper	ADJ
ap-7699	384	37	expansion	expansion	NOUN
ap-7699	384	38	here	here	ADV
ap-7699	384	39	.	.	PUNCT
ap-7699	385	1	(	(	PUNCT
ap-7699	385	2	we	we	PRON
ap-7699	385	3	will	will	AUX
ap-7699	385	4	not	not	PART
ap-7699	385	5	need	need	VERB
ap-7699	385	6	to	to	PART
ap-7699	385	7	include	include	VERB
ap-7699	385	8	terms	term	NOUN
ap-7699	385	9	like	like	ADP
ap-7699	385	10	r2	r2	PROPN
ap-7699	385	11	,	,	PUNCT
ap-7699	385	12	c2	c2	PROPN
ap-7699	385	13	or	or	CCONJ
ap-7699	385	14	even	even	ADV
ap-7699	385	15	r	r	NOUN
ap-7699	385	16	in	in	ADP
ap-7699	385	17	(	(	PUNCT
ap-7699	385	18	10	10	NUM
ap-7699	385	19	)	)	PUNCT
ap-7699	385	20	.	.	PUNCT
ap-7699	385	21	)	)	PUNCT
ap-7699	386	1	this	this	PRON
ap-7699	386	2	is	be	AUX
ap-7699	386	3	clearly	clearly	ADV
ap-7699	386	4	explained	explain	VERB
ap-7699	386	5	by	by	ADP
ap-7699	386	6	the	the	DET
ap-7699	386	7	arguments	argument	NOUN
ap-7699	386	8	from	from	ADP
ap-7699	386	9	dimensional	dimensional	ADJ
ap-7699	386	10	analysis	analysis	NOUN
ap-7699	386	11	since	since	SCONJ
ap-7699	386	12	the	the	DET
ap-7699	386	13	divergences	divergence	NOUN
ap-7699	386	14	with	with	ADP
ap-7699	386	15	four	four	NUM
ap-7699	386	16	derivatives	derivative	NOUN
ap-7699	386	17	of	of	ADP
ap-7699	386	18	the	the	DET
ap-7699	386	19	metric	metric	NOUN
ap-7699	386	20	,	,	PUNCT
ap-7699	386	21	in	in	ADP
ap-7699	386	22	(	(	PUNCT
ap-7699	386	23	1	1	NUM
ap-7699	386	24	)	)	PUNCT
ap-7699	386	25	,	,	PUNCT
ap-7699	386	26	are	be	AUX
ap-7699	386	27	of	of	ADP
ap-7699	386	28	our	our	PRON
ap-7699	386	29	biggest	big	ADJ
ap-7699	386	30	interest	interest	NOUN
ap-7699	386	31	here	here	ADV
ap-7699	386	32	.	.	PUNCT
ap-7699	387	1	moreover	moreover	ADV
ap-7699	387	2	,	,	PUNCT
ap-7699	387	3	numerical	numerical	ADJ
ap-7699	387	4	coefficients	coefficient	NOUN
ap-7699	387	5	of	of	ADP
ap-7699	387	6	those	those	DET
ap-7699	387	7	subleading	subleade	VERB
ap-7699	387	8	terms	term	NOUN
ap-7699	387	9	can	can	AUX
ap-7699	387	10	not	not	PART
ap-7699	387	11	in	in	ADP
ap-7699	387	12	any	any	DET
ap-7699	387	13	way	way	NOUN
ap-7699	387	14	combine	combine	VERB
ap-7699	387	15	with	with	ADP
ap-7699	387	16	coefficients	coefficient	NOUN
ap-7699	387	17	of	of	ADP
ap-7699	387	18	propagators	propagator	NOUN
ap-7699	387	19	(	(	PUNCT
ap-7699	387	20	shaped	shape	VERB
ap-7699	387	21	in	in	ADP
ap-7699	387	22	the	the	DET
ap-7699	387	23	uv	uv	NOUN
ap-7699	387	24	regime	regime	NOUN
ap-7699	387	25	by	by	ADP
ap-7699	387	26	the	the	DET
ap-7699	387	27	leading	lead	VERB
ap-7699	387	28	terms	term	NOUN
ap-7699	387	29	with	with	ADP
ap-7699	387	30	six	six	NUM
ap-7699	387	31	derivatives	derivative	NOUN
ap-7699	387	32	in	in	ADP
ap-7699	387	33	the	the	DET
ap-7699	387	34	action	action	NOUN
ap-7699	387	35	(	(	PUNCT
ap-7699	387	36	10	10	NUM
ap-7699	387	37	)	)	PUNCT
ap-7699	387	38	)	)	PUNCT
ap-7699	387	39	to	to	PART
ap-7699	387	40	form	form	VERB
ap-7699	387	41	dimensionless	dimensionless	NOUN
ap-7699	387	42	ratios	ratio	NOUN
ap-7699	387	43	in	in	ADP
ap-7699	387	44	front	front	NOUN
ap-7699	387	45	of	of	ADP
ap-7699	387	46	terms	term	NOUN
ap-7699	387	47	in	in	ADP
ap-7699	387	48	(	(	PUNCT
ap-7699	387	49	1	1	NUM
ap-7699	387	50	)	)	PUNCT
ap-7699	387	51	in	in	ADP
ap-7699	387	52	d	d	PROPN
ap-7699	387	53	=	=	SYM
ap-7699	387	54	4	4	NUM
ap-7699	387	55	spacetime	spacetime	NOUN
ap-7699	387	56	dimensions	dimension	NOUN
ap-7699	387	57	.	.	PUNCT
ap-7699	388	1	2	2	X
ap-7699	388	2	.	.	X
ap-7699	388	3	brief	brief	ADJ
ap-7699	388	4	description	description	NOUN
ap-7699	388	5	of	of	ADP
ap-7699	388	6	the	the	DET
ap-7699	388	7	technique	technique	NOUN
ap-7699	388	8	for	for	ADP
ap-7699	388	9	computing	compute	VERB
ap-7699	388	10	uv	uv	NOUN
ap-7699	388	11	divergences	divergence	NOUN
ap-7699	388	12	an	an	DET
ap-7699	388	13	essential	essential	ADJ
ap-7699	388	14	part	part	NOUN
ap-7699	388	15	of	of	ADP
ap-7699	388	16	the	the	DET
ap-7699	388	17	calculations	calculation	NOUN
ap-7699	388	18	is	be	AUX
ap-7699	388	19	pretty	pretty	ADV
ap-7699	388	20	much	much	ADV
ap-7699	388	21	the	the	DET
ap-7699	388	22	same	same	ADJ
ap-7699	388	23	as	as	ADP
ap-7699	388	24	usually	usually	ADV
ap-7699	388	25	done	do	VERB
ap-7699	388	26	in	in	ADP
ap-7699	388	27	any	any	DET
ap-7699	388	28	higher	high	ADJ
ap-7699	388	29	-	-	PUNCT
ap-7699	388	30	derivative	derivative	ADJ
ap-7699	388	31	qg	qg	PROPN
ap-7699	388	32	model	model	NOUN
ap-7699	388	33	,	,	PUNCT
ap-7699	388	34	especially	especially	ADV
ap-7699	388	35	in	in	ADP
ap-7699	388	36	the	the	DET
ap-7699	388	37	renormalizable	renormalizable	ADJ
ap-7699	388	38	or	or	CCONJ
ap-7699	388	39	superrenormalizable	superrenormalizable	ADJ
ap-7699	388	40	models	model	NOUN
ap-7699	388	41	[	[	X
ap-7699	388	42	26	26	NUM
ap-7699	388	43	,	,	PUNCT
ap-7699	388	44	44	44	NUM
ap-7699	388	45	]	]	PUNCT
ap-7699	388	46	as	as	SCONJ
ap-7699	388	47	considered	consider	VERB
ap-7699	388	48	here	here	ADV
ap-7699	388	49	.	.	PUNCT
ap-7699	389	1	in	in	ADP
ap-7699	389	2	what	what	PRON
ap-7699	389	3	follows	follow	VERB
ap-7699	389	4	,	,	PUNCT
ap-7699	389	5	we	we	PRON
ap-7699	389	6	can	can	AUX
ap-7699	389	7	skip	skip	VERB
ap-7699	389	8	a	a	DET
ap-7699	389	9	great	great	ADJ
ap-7699	389	10	part	part	NOUN
ap-7699	389	11	of	of	ADP
ap-7699	389	12	the	the	DET
ap-7699	389	13	explanations	explanation	NOUN
ap-7699	389	14	.	.	PUNCT
ap-7699	390	1	we	we	PRON
ap-7699	390	2	will	will	AUX
ap-7699	390	3	focus	focus	VERB
ap-7699	390	4	on	on	ADP
ap-7699	390	5	the	the	DET
ap-7699	390	6	calculation	calculation	NOUN
ap-7699	390	7	of	of	ADP
ap-7699	390	8	the	the	DET
ap-7699	390	9	fourth	fourth	ADJ
ap-7699	390	10	derivative	derivative	ADJ
ap-7699	390	11	terms	term	NOUN
ap-7699	390	12	of	of	ADP
ap-7699	390	13	the	the	DET
ap-7699	390	14	divergent	divergent	ADJ
ap-7699	390	15	part	part	NOUN
ap-7699	390	16	of	of	ADP
ap-7699	390	17	the	the	DET
ap-7699	390	18	effective	effective	ADJ
ap-7699	390	19	action	action	NOUN
ap-7699	390	20	.	.	PUNCT
ap-7699	391	1	first	first	ADV
ap-7699	391	2	,	,	PUNCT
ap-7699	391	3	to	to	PART
ap-7699	391	4	perform	perform	VERB
ap-7699	391	5	pure	pure	ADJ
ap-7699	391	6	computation	computation	NOUN
ap-7699	391	7	we	we	PRON
ap-7699	391	8	use	use	VERB
ap-7699	391	9	the	the	DET
ap-7699	391	10	background	background	NOUN
ap-7699	391	11	field	field	NOUN
ap-7699	391	12	method	method	NOUN
ap-7699	391	13	,	,	PUNCT
ap-7699	391	14	which	which	PRON
ap-7699	391	15	is	be	AUX
ap-7699	391	16	defined	define	VERB
ap-7699	391	17	by	by	ADP
ap-7699	391	18	the	the	DET
ap-7699	391	19	following	following	ADJ
ap-7699	391	20	splitting	splitting	NOUN
ap-7699	391	21	of	of	ADP
ap-7699	391	22	the	the	DET
ap-7699	391	23	metric	metric	ADJ
ap-7699	391	24	gµν	gµν	NOUN
ap-7699	391	25	−→	−→	NOUN
ap-7699	391	26	ḡµν	ḡµν	PROPN
ap-7699	391	27	+	+	CCONJ
ap-7699	391	28	hµν	hµν	NOUN
ap-7699	391	29	(	(	PUNCT
ap-7699	391	30	13	13	NUM
ap-7699	391	31	)	)	PUNCT
ap-7699	391	32	to	to	ADP
ap-7699	391	33	the	the	DET
ap-7699	391	34	background	background	NOUN
ap-7699	391	35	ḡµν	ḡµν	PROPN
ap-7699	391	36	and	and	CCONJ
ap-7699	391	37	the	the	DET
ap-7699	391	38	quantum	quantum	NOUN
ap-7699	391	39	fluctuation	fluctuation	NOUN
ap-7699	391	40	parts	part	NOUN
ap-7699	391	41	given	give	VERB
ap-7699	391	42	by	by	ADP
ap-7699	391	43	the	the	DET
ap-7699	391	44	spin-2	spin-2	NUM
ap-7699	391	45	symmetric	symmetric	ADJ
ap-7699	391	46	tensor	tensor	NOUN
ap-7699	391	47	hµν	hµν	NOUN
ap-7699	391	48	.	.	PUNCT
ap-7699	392	1	the	the	DET
ap-7699	392	2	next	next	ADJ
ap-7699	392	3	step	step	NOUN
ap-7699	392	4	is	be	AUX
ap-7699	392	5	to	to	PART
ap-7699	392	6	define	define	VERB
ap-7699	392	7	the	the	DET
ap-7699	392	8	gauge	gauge	NOUN
ap-7699	392	9	-	-	PUNCT
ap-7699	392	10	fixing	fix	VERB
ap-7699	392	11	condition	condition	NOUN
ap-7699	392	12	.	.	PUNCT
ap-7699	393	1	since	since	SCONJ
ap-7699	393	2	our	our	PRON
ap-7699	393	3	theory	theory	NOUN
ap-7699	393	4	with	with	ADP
ap-7699	393	5	six	six	NUM
ap-7699	393	6	derivatives	derivative	NOUN
ap-7699	393	7	still	still	ADV
ap-7699	393	8	possesses	possess	VERB
ap-7699	393	9	gauge	gauge	NOUN
ap-7699	393	10	invariance	invariance	NOUN
ap-7699	393	11	due	due	ADP
ap-7699	393	12	to	to	ADP
ap-7699	393	13	diffeomorphism	diffeomorphism	NOUN
ap-7699	393	14	symmetry	symmetry	NOUN
ap-7699	393	15	we	we	PRON
ap-7699	393	16	have	have	VERB
ap-7699	393	17	to	to	PART
ap-7699	393	18	fix	fix	VERB
ap-7699	393	19	the	the	DET
ap-7699	393	20	gauge	gauge	NOUN
ap-7699	393	21	to	to	PART
ap-7699	393	22	make	make	VERB
ap-7699	393	23	the	the	DET
ap-7699	393	24	graviton	graviton	NOUN
ap-7699	393	25	propagator	propagator	NOUN
ap-7699	393	26	non	non	ADJ
ap-7699	393	27	-	-	ADJ
ap-7699	393	28	degenerate	degenerate	ADJ
ap-7699	393	29	.	.	PUNCT
ap-7699	394	1	for	for	ADP
ap-7699	394	2	this	this	PRON
ap-7699	394	3	we	we	PRON
ap-7699	394	4	will	will	AUX
ap-7699	394	5	make	make	VERB
ap-7699	394	6	some	some	DET
ap-7699	394	7	choice	choice	NOUN
ap-7699	394	8	of	of	ADP
ap-7699	394	9	the	the	DET
ap-7699	394	10	gauge	gauge	NOUN
ap-7699	394	11	-	-	PUNCT
ap-7699	394	12	fixing	fix	VERB
ap-7699	394	13	parameters	parameter	NOUN
ap-7699	394	14	,	,	PUNCT
ap-7699	394	15	here	here	ADV
ap-7699	394	16	represented	represent	VERB
ap-7699	394	17	by	by	ADP
ap-7699	394	18	numerical	numerical	PROPN
ap-7699	394	19	α	α	PROPN
ap-7699	394	20	,	,	PUNCT
ap-7699	394	21	β	β	X
ap-7699	394	22	and	and	CCONJ
ap-7699	394	23	γ	γ	PROPN
ap-7699	394	24	parameters	parameter	NOUN
ap-7699	394	25	.	.	PUNCT
ap-7699	395	1	first	first	ADV
ap-7699	395	2	,	,	PUNCT
ap-7699	395	3	we	we	PRON
ap-7699	395	4	choose	choose	VERB
ap-7699	395	5	the	the	DET
ap-7699	395	6	parameter	parameter	NOUN
ap-7699	395	7	β	β	PROPN
ap-7699	395	8	in	in	ADP
ap-7699	395	9	the	the	DET
ap-7699	395	10	harmonic	harmonic	ADJ
ap-7699	395	11	background	background	NOUN
ap-7699	395	12	gauge	gauge	NOUN
ap-7699	395	13	-	-	PUNCT
ap-7699	395	14	fixing	fix	VERB
ap-7699	395	15	condition	condition	NOUN
ap-7699	395	16	χµ	χµ	PROPN
ap-7699	395	17	,	,	PUNCT
ap-7699	395	18	according	accord	VERB
ap-7699	395	19	to	to	ADP
ap-7699	395	20	χµ	χµ	PROPN
ap-7699	395	21	=	=	SYM
ap-7699	395	22	∇λhλµ	∇λhλµ	NOUN
ap-7699	395	23	−	−	NOUN
ap-7699	395	24	β	β	X
ap-7699	395	25	∇µh	∇µh	PROPN
ap-7699	395	26	,	,	PUNCT
ap-7699	395	27	h	h	NOUN
ap-7699	395	28	=	=	NOUN
ap-7699	396	1	hν	hν	NOUN
ap-7699	396	2	ν	ν	NOUN
ap-7699	396	3	,	,	PUNCT
ap-7699	396	4	(	(	PUNCT
ap-7699	396	5	14	14	NUM
ap-7699	396	6	)	)	PUNCT
ap-7699	396	7	in	in	ADP
ap-7699	396	8	the	the	DET
ap-7699	396	9	most	most	ADV
ap-7699	396	10	simple	simple	ADJ
ap-7699	396	11	“	"	PUNCT
ap-7699	396	12	minimal	minimal	ADJ
ap-7699	396	13	”	"	PUNCT
ap-7699	396	14	form	form	NOUN
ap-7699	396	15	,	,	PUNCT
ap-7699	396	16	as	as	SCONJ
ap-7699	396	17	will	will	AUX
ap-7699	396	18	be	be	AUX
ap-7699	396	19	indicated	indicate	VERB
ap-7699	396	20	below	below	ADV
ap-7699	396	21	.	.	PUNCT
ap-7699	397	1	the	the	DET
ap-7699	397	2	same	same	ADJ
ap-7699	397	3	concerns	concern	NOUN
ap-7699	397	4	the	the	DET
ap-7699	397	5	parameters	parameter	NOUN
ap-7699	397	6	α	α	PROPN
ap-7699	397	7	and	and	CCONJ
ap-7699	397	8	γ	γ	PROPN
ap-7699	397	9	.	.	PROPN
ap-7699	397	10	finally	finally	ADV
ap-7699	397	11	,	,	PUNCT
ap-7699	397	12	we	we	PRON
ap-7699	397	13	select	select	VERB
ap-7699	397	14	a	a	DET
ap-7699	397	15	general	general	ADJ
ap-7699	397	16	form	form	NOUN
ap-7699	397	17	of	of	ADP
ap-7699	397	18	the	the	DET
ap-7699	397	19	weighting	weighting	NOUN
ap-7699	397	20	operator	operator	NOUN
ap-7699	397	21	,	,	PUNCT
ap-7699	397	22	ĉ	ĉ	X
ap-7699	397	23	=	=	SYM
ap-7699	397	24	c̃µν	c̃µν	NOUN
ap-7699	397	25	,	,	PUNCT
ap-7699	397	26	which	which	PRON
ap-7699	397	27	is	be	AUX
ap-7699	397	28	defined	define	VERB
ap-7699	397	29	by	by	ADP
ap-7699	397	30	the	the	DET
ap-7699	397	31	formula	formula	NOUN
ap-7699	397	32	below	below	ADP
ap-7699	397	33	:	:	PUNCT
ap-7699	397	34	ĉ	ĉ	X
ap-7699	397	35	=	=	SYM
ap-7699	397	36	c̃µν	c̃µν	NOUN
ap-7699	397	37	=	=	PUNCT
ap-7699	397	38	−	−	PROPN
ap-7699	397	39	1	1	NUM
ap-7699	397	40	α	α	NOUN
ap-7699	397	41	(	(	PUNCT
ap-7699	397	42	gµν	gµν	X
ap-7699	397	43	□	□	SYM
ap-7699	397	44	2	2	NUM
ap-7699	397	45	+	+	CCONJ
ap-7699	397	46	(	(	PUNCT
ap-7699	397	47	γ	γ	X
ap-7699	397	48	−	−	PROPN
ap-7699	397	49	1)∇µ	1)∇µ	NUM
ap-7699	397	50	□	□	PROPN
ap-7699	397	51	∇ν	∇ν	PROPN
ap-7699	397	52	)	)	PUNCT
ap-7699	397	53	.	.	PUNCT
ap-7699	398	1	(	(	PUNCT
ap-7699	398	2	15	15	X
ap-7699	398	3	)	)	PUNCT
ap-7699	398	4	this	this	PRON
ap-7699	398	5	together	together	ADV
ap-7699	398	6	with	with	ADP
ap-7699	398	7	the	the	DET
ap-7699	398	8	gauge	gauge	NOUN
ap-7699	398	9	-	-	PUNCT
ap-7699	398	10	fixing	fix	VERB
ap-7699	398	11	condition	condition	NOUN
ap-7699	398	12	,	,	PUNCT
ap-7699	398	13	that	that	PRON
ap-7699	398	14	is	be	AUX
ap-7699	398	15	χµ	χµ	PROPN
ap-7699	398	16	,	,	PUNCT
ap-7699	398	17	defines	define	VERB
ap-7699	398	18	the	the	DET
ap-7699	398	19	gauge	gauge	ADV
ap-7699	398	20	-	-	PUNCT
ap-7699	398	21	fixing	fix	VERB
ap-7699	398	22	action	action	NOUN
ap-7699	398	23	[	[	X
ap-7699	398	24	41	41	NUM
ap-7699	398	25	]	]	PUNCT
ap-7699	398	26	in	in	ADP
ap-7699	398	27	the	the	DET
ap-7699	398	28	following	follow	VERB
ap-7699	398	29	form	form	NOUN
ap-7699	398	30	,	,	PUNCT
ap-7699	398	31	sgf	sgf	PROPN
ap-7699	398	32	=	=	SYM
ap-7699	398	33	∫	∫	PROPN
ap-7699	398	34	d4x	d4x	PROPN
ap-7699	398	35	√	√	PROPN
ap-7699	398	36	|g|	|g|	PROPN
ap-7699	398	37	χµ	χµ	ADP
ap-7699	398	38	c̃µν	c̃µν	NOUN
ap-7699	398	39	χν	χν	PROPN
ap-7699	398	40	.	.	PUNCT
ap-7699	399	1	(	(	PUNCT
ap-7699	399	2	16	16	NUM
ap-7699	399	3	)	)	PUNCT
ap-7699	399	4	the	the	DET
ap-7699	399	5	action	action	NOUN
ap-7699	399	6	of	of	ADP
ap-7699	399	7	the	the	DET
ap-7699	399	8	complex	complex	ADJ
ap-7699	399	9	faddeev	faddeev	NOUN
ap-7699	399	10	-	-	PUNCT
ap-7699	399	11	popov	popov	NOUN
ap-7699	399	12	(	(	PUNCT
ap-7699	399	13	fp	fp	X
ap-7699	399	14	)	)	PUNCT
ap-7699	399	15	ghost	ghost	NOUN
ap-7699	399	16	fields	field	NOUN
ap-7699	399	17	(	(	PUNCT
ap-7699	399	18	respectively	respectively	ADV
ap-7699	399	19	c̄µ	c̄µ	PROPN
ap-7699	399	20	and	and	CCONJ
ap-7699	399	21	cµ	cµ	NOUN
ap-7699	399	22	)	)	PUNCT
ap-7699	399	23	has	have	VERB
ap-7699	399	24	in	in	ADP
ap-7699	399	25	turn	turn	NOUN
ap-7699	399	26	the	the	DET
ap-7699	399	27	form	form	NOUN
ap-7699	399	28	sgh	sgh	NOUN
ap-7699	399	29	=	=	SYM
ap-7699	399	30	∫	∫	PROPN
ap-7699	399	31	d4x	d4x	PROPN
ap-7699	399	32	√	√	PROPN
ap-7699	399	33	|g|	|g|	PROPN
ap-7699	399	34	c̄µmµ	c̄µmµ	ADJ
ap-7699	399	35	νcν	νcν	PROPN
ap-7699	399	36	,	,	PUNCT
ap-7699	399	37	(	(	PUNCT
ap-7699	399	38	17	17	NUM
ap-7699	399	39	)	)	PUNCT
ap-7699	399	40	where	where	SCONJ
ap-7699	399	41	the	the	DET
ap-7699	399	42	bilinear	bilinear	ADJ
ap-7699	399	43	part	part	NOUN
ap-7699	399	44	between	between	ADP
ap-7699	399	45	the	the	DET
ap-7699	399	46	anti	anti	ADJ
ap-7699	399	47	-	-	ADJ
ap-7699	399	48	ghost	ghost	ADJ
ap-7699	399	49	c̄µ	c̄µ	ADJ
ap-7699	399	50	and	and	CCONJ
ap-7699	399	51	ghost	ghost	NOUN
ap-7699	399	52	fields	field	NOUN
ap-7699	399	53	cµ	cµ	VERB
ap-7699	399	54	,	,	PUNCT
ap-7699	399	55	the	the	DET
ap-7699	399	56	so	so	ADV
ap-7699	399	57	called	call	VERB
ap-7699	399	58	fp	fp	ADJ
ap-7699	399	59	-	-	PUNCT
ap-7699	399	60	matrix	matrix	NOUN
ap-7699	399	61	m̂	m̂	NOUN
ap-7699	399	62	,	,	PUNCT
ap-7699	399	63	depends	depend	VERB
ap-7699	399	64	differentially	differentially	ADV
ap-7699	399	65	on	on	ADP
ap-7699	399	66	χµ	χµ	ADP
ap-7699	399	67	gauge	gauge	NOUN
ap-7699	399	68	-	-	PUNCT
ap-7699	399	69	fixing	fix	VERB
ap-7699	399	70	conditions	condition	NOUN
ap-7699	399	71	and	and	CCONJ
ap-7699	399	72	also	also	ADV
ap-7699	399	73	on	on	ADP
ap-7699	399	74	the	the	DET
ap-7699	399	75	contracted	contract	VERB
ap-7699	399	76	form	form	NOUN
ap-7699	399	77	of	of	ADP
ap-7699	399	78	the	the	DET
ap-7699	399	79	generator	generator	NOUN
ap-7699	399	80	of	of	ADP
ap-7699	399	81	gauge	gauge	NOUN
ap-7699	399	82	transformations	transformation	NOUN
ap-7699	399	83	r̂	r̂	NOUN
ap-7699	399	84	,	,	PUNCT
ap-7699	399	85	m̂	m̂	NOUN
ap-7699	400	1	=	=	PUNCT
ap-7699	400	2	mµ	mµ	ADP
ap-7699	400	3	ν	ν	X
ap-7699	400	4	=	=	PUNCT
ap-7699	400	5	δχµ	δχµ	PROPN
ap-7699	400	6	δgαβ	δgαβ	PROPN
ap-7699	400	7	rαβ	rαβ	PROPN
ap-7699	400	8	ν	ν	PROPN
ap-7699	400	9	=	=	PUNCT
ap-7699	400	10	δµ	δµ	ADP
ap-7699	400	11	ν	ν	X
ap-7699	400	12	□	□	X
ap-7699	400	13	+∇ν∇µ−2β∇µ∇ν	+∇ν∇µ−2β∇µ∇ν	X
ap-7699	400	14	.	.	PUNCT
ap-7699	401	1	(	(	PUNCT
ap-7699	401	2	18	18	NUM
ap-7699	401	3	)	)	PUNCT
ap-7699	401	4	in	in	ADP
ap-7699	401	5	the	the	DET
ap-7699	401	6	above	above	ADJ
ap-7699	401	7	equation	equation	NOUN
ap-7699	401	8	by	by	ADP
ap-7699	401	9	the	the	DET
ap-7699	401	10	matrix	matrix	NOUN
ap-7699	401	11	-	-	PUNCT
ap-7699	401	12	valued	value	VERB
ap-7699	401	13	operator	operator	NOUN
ap-7699	401	14	rαβ	rαβ	NOUN
ap-7699	401	15	ν	ν	NOUN
ap-7699	401	16	we	we	PRON
ap-7699	401	17	mean	mean	VERB
ap-7699	401	18	the	the	DET
ap-7699	401	19	generator	generator	NOUN
ap-7699	401	20	of	of	ADP
ap-7699	401	21	infinitesimal	infinitesimal	ADJ
ap-7699	401	22	diffeomorphism	diffeomorphism	NOUN
ap-7699	401	23	(	(	PUNCT
ap-7699	401	24	local	local	ADJ
ap-7699	401	25	gauge	gauge	NOUN
ap-7699	401	26	)	)	PUNCT
ap-7699	401	27	transformations	transformation	NOUN
ap-7699	401	28	in	in	ADP
ap-7699	401	29	any	any	DET
ap-7699	401	30	metric	metric	ADJ
ap-7699	401	31	theory	theory	NOUN
ap-7699	401	32	of	of	ADP
ap-7699	401	33	gravity	gravity	NOUN
ap-7699	401	34	.	.	PUNCT
ap-7699	402	1	since	since	SCONJ
ap-7699	402	2	as	as	SCONJ
ap-7699	402	3	proven	prove	VERB
ap-7699	402	4	and	and	CCONJ
ap-7699	402	5	explained	explain	VERB
ap-7699	402	6	at	at	ADP
ap-7699	402	7	the	the	DET
ap-7699	402	8	end	end	NOUN
ap-7699	402	9	of	of	ADP
ap-7699	402	10	section	section	NOUN
ap-7699	402	11	1.3	1.3	NUM
ap-7699	402	12	,	,	PUNCT
ap-7699	402	13	our	our	PRON
ap-7699	402	14	final	final	ADJ
ap-7699	402	15	results	result	NOUN
ap-7699	402	16	for	for	ADP
ap-7699	402	17	uv	uv	NOUN
ap-7699	402	18	divergences	divergence	NOUN
ap-7699	402	19	are	be	AUX
ap-7699	402	20	here	here	ADV
ap-7699	402	21	completely	completely	ADV
ap-7699	402	22	universal	universal	ADJ
ap-7699	402	23	and	and	CCONJ
ap-7699	402	24	they	they	PRON
ap-7699	402	25	are	be	AUX
ap-7699	402	26	independent	independent	ADJ
ap-7699	402	27	of	of	ADP
ap-7699	402	28	any	any	DET
ap-7699	402	29	parameter	parameter	NOUN
ap-7699	402	30	used	use	VERB
ap-7699	402	31	to	to	PART
ap-7699	402	32	regularize	regularize	VERB
ap-7699	402	33	,	,	PUNCT
ap-7699	402	34	compute	compute	VERB
ap-7699	402	35	and	and	CCONJ
ap-7699	402	36	renormalize	renormalize	VERB
ap-7699	402	37	the	the	DET
ap-7699	402	38	effective	effective	ADJ
ap-7699	402	39	action	action	NOUN
ap-7699	402	40	of	of	ADP
ap-7699	402	41	the	the	DET
ap-7699	402	42	theory	theory	NOUN
ap-7699	402	43	,	,	PUNCT
ap-7699	402	44	then	then	ADV
ap-7699	402	45	we	we	PRON
ap-7699	402	46	can	can	AUX
ap-7699	402	47	take	take	VERB
ap-7699	402	48	the	the	DET
ap-7699	402	49	following	follow	VERB
ap-7699	402	50	philosophy	philosophy	NOUN
ap-7699	402	51	at	at	ADP
ap-7699	402	52	work	work	NOUN
ap-7699	402	53	here	here	ADV
ap-7699	402	54	.	.	PUNCT
ap-7699	403	1	we	we	PRON
ap-7699	403	2	choose	choose	VERB
ap-7699	403	3	some	some	DET
ap-7699	403	4	specific	specific	ADJ
ap-7699	403	5	gauge	gauge	NOUN
ap-7699	403	6	choice	choice	NOUN
ap-7699	403	7	in	in	ADP
ap-7699	403	8	order	order	NOUN
ap-7699	403	9	to	to	PART
ap-7699	403	10	simplify	simplify	VERB
ap-7699	403	11	our	our	PRON
ap-7699	403	12	calculation	calculation	NOUN
ap-7699	403	13	,	,	PUNCT
ap-7699	403	14	but	but	CCONJ
ap-7699	403	15	then	then	ADV
ap-7699	403	16	we	we	PRON
ap-7699	403	17	are	be	AUX
ap-7699	403	18	sure	sure	ADJ
ap-7699	403	19	that	that	SCONJ
ap-7699	403	20	the	the	DET
ap-7699	403	21	final	final	ADJ
ap-7699	403	22	results	result	NOUN
ap-7699	403	23	will	will	AUX
ap-7699	403	24	be	be	AUX
ap-7699	403	25	still	still	ADV
ap-7699	403	26	correct	correct	ADJ
ap-7699	403	27	,	,	PUNCT
ap-7699	403	28	if	if	SCONJ
ap-7699	403	29	obtained	obtain	VERB
ap-7699	403	30	consistently	consistently	ADV
ap-7699	403	31	within	within	ADP
ap-7699	403	32	this	this	DET
ap-7699	403	33	computation	computation	NOUN
ap-7699	403	34	done	do	VERB
ap-7699	403	35	in	in	ADP
ap-7699	403	36	a	a	DET
ap-7699	403	37	particular	particular	ADJ
ap-7699	403	38	gauge	gauge	NOUN
ap-7699	403	39	choice	choice	NOUN
ap-7699	403	40	.	.	PUNCT
ap-7699	404	1	it	it	PRON
ap-7699	404	2	is	be	AUX
ap-7699	404	3	true	true	ADJ
ap-7699	404	4	that	that	SCONJ
ap-7699	404	5	intermediate	intermediate	ADJ
ap-7699	404	6	steps	step	NOUN
ap-7699	404	7	of	of	ADP
ap-7699	404	8	the	the	DET
ap-7699	404	9	computation	computation	NOUN
ap-7699	404	10	may	may	AUX
ap-7699	404	11	be	be	AUX
ap-7699	404	12	different	different	ADJ
ap-7699	404	13	in	in	ADP
ap-7699	404	14	different	different	ADJ
ap-7699	404	15	gauges	gauge	NOUN
ap-7699	404	16	,	,	PUNCT
ap-7699	404	17	but	but	CCONJ
ap-7699	404	18	the	the	DET
ap-7699	404	19	final	final	ADJ
ap-7699	404	20	results	result	NOUN
ap-7699	404	21	must	must	AUX
ap-7699	404	22	be	be	AUX
ap-7699	404	23	unique	unique	ADJ
ap-7699	404	24	and	and	CCONJ
ap-7699	404	25	it	it	PRON
ap-7699	404	26	does	do	AUX
ap-7699	404	27	not	not	PART
ap-7699	404	28	matter	matter	VERB
ap-7699	404	29	which	which	DET
ap-7699	404	30	way	way	NOUN
ap-7699	404	31	we	we	PRON
ap-7699	404	32	arrive	arrive	VERB
ap-7699	404	33	to	to	ADP
ap-7699	404	34	them	they	PRON
ap-7699	404	35	.	.	PUNCT
ap-7699	405	1	we	we	PRON
ap-7699	405	2	think	think	VERB
ap-7699	405	3	we	we	PRON
ap-7699	405	4	could	could	AUX
ap-7699	405	5	choose	choose	VERB
ap-7699	405	6	one	one	NUM
ap-7699	405	7	of	of	ADP
ap-7699	405	8	the	the	DET
ap-7699	405	9	simplest	simple	ADJ
ap-7699	405	10	path	path	NOUN
ap-7699	405	11	to	to	PART
ap-7699	405	12	reach	reach	VERB
ap-7699	405	13	this	this	DET
ap-7699	405	14	goal	goal	NOUN
ap-7699	405	15	.	.	PUNCT
ap-7699	406	1	a	a	DET
ap-7699	406	2	posteriori	posteriori	NOUN
ap-7699	406	3	this	this	DET
ap-7699	406	4	method	method	NOUN
ap-7699	406	5	is	be	AUX
ap-7699	406	6	justified	justify	VERB
ap-7699	406	7	,	,	PUNCT
ap-7699	406	8	but	but	CCONJ
ap-7699	406	9	the	the	DET
ap-7699	406	10	middle	middle	ADJ
ap-7699	406	11	steps	step	NOUN
ap-7699	406	12	of	of	ADP
ap-7699	406	13	the	the	DET
ap-7699	406	14	processing	processing	NOUN
ap-7699	406	15	of	of	ADP
ap-7699	406	16	the	the	DET
ap-7699	406	17	hessian	hessian	ADJ
ap-7699	406	18	operator	operator	NOUN
ap-7699	406	19	will	will	AUX
ap-7699	406	20	not	not	PART
ap-7699	406	21	have	have	VERB
ap-7699	406	22	any	any	DET
ap-7699	406	23	invariant	invariant	ADJ
ap-7699	406	24	objective	objective	ADJ
ap-7699	406	25	physical	physical	ADJ
ap-7699	406	26	meaning	meaning	NOUN
ap-7699	406	27	.	.	PUNCT
ap-7699	407	1	these	these	PRON
ap-7699	407	2	are	be	AUX
ap-7699	407	3	just	just	ADV
ap-7699	407	4	steps	step	NOUN
ap-7699	407	5	in	in	ADP
ap-7699	407	6	the	the	DET
ap-7699	407	7	calculational	calculational	ADJ
ap-7699	407	8	procedure	procedure	NOUN
ap-7699	407	9	in	in	ADP
ap-7699	407	10	some	some	DET
ap-7699	407	11	selected	select	VERB
ap-7699	407	12	gauge	gauge	NOUN
ap-7699	407	13	.	.	PUNCT
ap-7699	408	1	one	one	NUM
ap-7699	408	2	knows	know	VERB
ap-7699	408	3	that	that	SCONJ
ap-7699	408	4	in	in	ADP
ap-7699	408	5	such	such	DET
ap-7699	408	6	a	a	DET
ap-7699	408	7	case	case	NOUN
ap-7699	408	8	,	,	PUNCT
ap-7699	408	9	for	for	ADP
ap-7699	408	10	example	example	NOUN
ap-7699	408	11	,	,	PUNCT
ap-7699	408	12	for	for	ADP
ap-7699	408	13	a	a	DET
ap-7699	408	14	formalism	formalism	NOUN
ap-7699	408	15	due	due	ADJ
ap-7699	408	16	to	to	ADP
ap-7699	408	17	barvinsky	barvinsky	ADJ
ap-7699	408	18	-	-	PUNCT
ap-7699	408	19	vilkovisky	vilkovisky	NOUN
ap-7699	408	20	(	(	PUNCT
ap-7699	408	21	bv	bv	PROPN
ap-7699	408	22	)	)	PUNCT
ap-7699	408	23	[	[	X
ap-7699	408	24	27	27	NUM
ap-7699	408	25	]	]	PUNCT
ap-7699	408	26	of	of	ADP
ap-7699	408	27	functional	functional	ADJ
ap-7699	408	28	traces	trace	NOUN
ap-7699	408	29	of	of	ADP
ap-7699	408	30	differential	differential	ADJ
ap-7699	408	31	operators	operator	NOUN
ap-7699	408	32	applied	apply	VERB
ap-7699	408	33	in	in	ADP
ap-7699	408	34	the	the	DET
ap-7699	408	35	background	background	NOUN
ap-7699	408	36	field	field	NOUN
ap-7699	408	37	method	method	NOUN
ap-7699	408	38	framework	framework	NOUN
ap-7699	408	39	,	,	PUNCT
ap-7699	408	40	all	all	DET
ap-7699	408	41	intermediate	intermediate	ADJ
ap-7699	408	42	results	result	NOUN
ap-7699	408	43	are	be	AUX
ap-7699	408	44	manifestly	manifestly	ADV
ap-7699	408	45	gauge	gauge	ADJ
ap-7699	408	46	-	-	PUNCT
ap-7699	408	47	independent	independent	ADJ
ap-7699	408	48	.	.	PUNCT
ap-7699	409	1	then	then	ADV
ap-7699	409	2	still	still	ADV
ap-7699	409	3	such	such	ADJ
ap-7699	409	4	partial	partial	ADJ
ap-7699	409	5	contributions	contribution	NOUN
ap-7699	409	6	(	(	PUNCT
ap-7699	409	7	any	any	PRON
ap-7699	409	8	of	of	ADP
ap-7699	409	9	them	they	PRON
ap-7699	409	10	)	)	PUNCT
ap-7699	409	11	separately	separately	ADV
ap-7699	409	12	do	do	AUX
ap-7699	409	13	not	not	PART
ap-7699	409	14	have	have	VERB
ap-7699	409	15	any	any	DET
ap-7699	409	16	sensible	sensible	ADJ
ap-7699	409	17	physical	physical	ADJ
ap-7699	409	18	meaning	meaning	NOUN
ap-7699	409	19	,	,	PUNCT
ap-7699	409	20	although	although	SCONJ
ap-7699	409	21	such	such	ADJ
ap-7699	409	22	results	result	NOUN
ap-7699	409	23	are	be	AUX
ap-7699	409	24	gauge	gauge	ADJ
ap-7699	409	25	-	-	PUNCT
ap-7699	409	26	independent	independent	ADJ
ap-7699	409	27	and	and	CCONJ
ap-7699	409	28	look	look	VERB
ap-7699	409	29	superficially	superficially	ADV
ap-7699	409	30	physical	physical	ADJ
ap-7699	409	31	–	–	PUNCT
ap-7699	409	32	any	any	DET
ap-7699	409	33	physical	physical	ADJ
ap-7699	409	34	meaning	meaning	NOUN
ap-7699	409	35	can	can	AUX
ap-7699	409	36	not	not	PART
ap-7699	409	37	be	be	AUX
ap-7699	409	38	properly	properly	ADV
ap-7699	409	39	associated	associate	VERB
ap-7699	409	40	to	to	ADP
ap-7699	409	41	them	they	PRON
ap-7699	409	42	,	,	PUNCT
ap-7699	409	43	if	if	SCONJ
ap-7699	409	44	all	all	DET
ap-7699	409	45	these	these	DET
ap-7699	409	46	terms	term	NOUN
ap-7699	409	47	are	be	AUX
ap-7699	409	48	not	not	PART
ap-7699	409	49	taken	take	VERB
ap-7699	409	50	in	in	ADP
ap-7699	409	51	total	total	NOUN
ap-7699	409	52	and	and	CCONJ
ap-7699	409	53	only	only	ADV
ap-7699	409	54	in	in	ADP
ap-7699	409	55	the	the	DET
ap-7699	409	56	final	final	ADJ
ap-7699	409	57	sum	sum	NOUN
ap-7699	409	58	.	.	PUNCT
ap-7699	410	1	on	on	ADP
ap-7699	410	2	the	the	DET
ap-7699	410	3	contrary	contrary	NOUN
ap-7699	410	4	,	,	PUNCT
ap-7699	410	5	if	if	SCONJ
ap-7699	410	6	the	the	DET
ap-7699	410	7	computation	computation	NOUN
ap-7699	410	8	is	be	AUX
ap-7699	410	9	performed	perform	VERB
ap-7699	410	10	using	use	VERB
ap-7699	410	11	feynman	feynman	PROPN
ap-7699	410	12	diagrams	diagram	NOUN
ap-7699	410	13	,	,	PUNCT
ap-7699	410	14	momentum	momentum	NOUN
ap-7699	410	15	integrals	integral	NOUN
ap-7699	410	16	and	and	CCONJ
ap-7699	410	17	around	around	ADP
ap-7699	410	18	flat	flat	ADJ
ap-7699	410	19	spacetime	spacetime	NOUN
ap-7699	410	20	,	,	PUNCT
ap-7699	410	21	then	then	ADV
ap-7699	410	22	the	the	DET
ap-7699	410	23	intermediate	intermediate	ADJ
ap-7699	410	24	results	result	NOUN
ap-7699	410	25	are	be	AUX
ap-7699	410	26	not	not	PART
ap-7699	410	27	gauge	gauge	ADV
ap-7699	410	28	-	-	PUNCT
ap-7699	410	29	invariant	invariant	ADJ
ap-7699	410	30	,	,	PUNCT
ap-7699	410	31	as	as	SCONJ
ap-7699	410	32	it	it	PRON
ap-7699	410	33	is	be	AUX
ap-7699	410	34	well	well	ADV
ap-7699	410	35	known	know	VERB
ap-7699	410	36	for	for	ADP
ap-7699	410	37	partial	partial	ADJ
ap-7699	410	38	contributions	contribution	NOUN
ap-7699	410	39	of	of	ADP
ap-7699	410	40	some	some	DET
ap-7699	410	41	graphs	graph	NOUN
ap-7699	410	42	,	,	PUNCT
ap-7699	410	43	and	and	CCONJ
ap-7699	410	44	only	only	ADV
ap-7699	410	45	in	in	ADP
ap-7699	410	46	the	the	DET
ap-7699	410	47	final	final	ADJ
ap-7699	410	48	sum	sum	NOUN
ap-7699	410	49	they	they	PRON
ap-7699	410	50	acquire	acquire	VERB
ap-7699	410	51	such	such	ADJ
ap-7699	410	52	features	feature	NOUN
ap-7699	410	53	of	of	ADP
ap-7699	410	54	gauge	gauge	NOUN
ap-7699	410	55	-	-	PUNCT
ap-7699	410	56	independence	independence	NOUN
ap-7699	410	57	.	.	PUNCT
ap-7699	411	1	we	we	PRON
ap-7699	411	2	also	also	ADV
ap-7699	411	3	need	need	VERB
ap-7699	411	4	to	to	PART
ap-7699	411	5	distinguish	distinguish	VERB
ap-7699	411	6	here	here	ADV
ap-7699	411	7	two	two	NUM
ap-7699	411	8	different	different	ADJ
ap-7699	411	9	features	feature	NOUN
ap-7699	411	10	.	.	PUNCT
ap-7699	412	1	some	some	DET
ap-7699	412	2	partial	partial	ADJ
ap-7699	412	3	results	result	NOUN
ap-7699	412	4	may	may	AUX
ap-7699	412	5	be	be	AUX
ap-7699	412	6	still	still	ADV
ap-7699	412	7	gaugedependent	gaugedependent	ADJ
ap-7699	412	8	and	and	CCONJ
ap-7699	412	9	their	their	PRON
ap-7699	412	10	form	form	NOUN
ap-7699	412	11	may	may	AUX
ap-7699	412	12	not	not	PART
ap-7699	412	13	show	show	VERB
ap-7699	412	14	up	up	ADP
ap-7699	412	15	gauge	gauge	NOUN
ap-7699	412	16	symmetry	symmetry	NOUN
ap-7699	412	17	(	(	PUNCT
ap-7699	412	18	for	for	ADP
ap-7699	412	19	example	example	NOUN
ap-7699	412	20	,	,	PUNCT
ap-7699	412	21	using	use	VERB
ap-7699	412	22	feynman	feynman	PROPN
ap-7699	412	23	diagram	diagram	PROPN
ap-7699	412	24	approach	approach	NOUN
ap-7699	412	25	,	,	PUNCT
ap-7699	412	26	a	a	DET
ap-7699	412	27	contribution	contribution	NOUN
ap-7699	412	28	from	from	ADP
ap-7699	412	29	a	a	DET
ap-7699	412	30	subset	subset	NOUN
ap-7699	412	31	of	of	ADP
ap-7699	412	32	divergent	divergent	ADJ
ap-7699	412	33	129	129	NUM
ap-7699	412	34	lesław	lesław	NOUN
ap-7699	412	35	rachwał	rachwał	PROPN
ap-7699	412	36	acta	acta	PROPN
ap-7699	412	37	polytechnica	polytechnica	PROPN
ap-7699	412	38	diagrams	diagram	NOUN
ap-7699	412	39	may	may	AUX
ap-7699	412	40	not	not	PART
ap-7699	412	41	be	be	AUX
ap-7699	412	42	absorbed	absorb	VERB
ap-7699	412	43	by	by	ADP
ap-7699	412	44	a	a	DET
ap-7699	412	45	gauge	gauge	ADJ
ap-7699	412	46	-	-	PUNCT
ap-7699	412	47	covariant	covariant	ADJ
ap-7699	412	48	counterterm	counterterm	NOUN
ap-7699	412	49	:	:	PUNCT
ap-7699	412	50	f	f	PROPN
ap-7699	412	51	2	2	NUM
ap-7699	412	52	in	in	ADP
ap-7699	412	53	gauge	gauge	NOUN
ap-7699	412	54	theories	theory	NOUN
ap-7699	412	55	,	,	PUNCT
ap-7699	412	56	or	or	CCONJ
ap-7699	412	57	r2	r2	PROPN
ap-7699	412	58	in	in	ADP
ap-7699	412	59	gravity	gravity	NOUN
ap-7699	412	60	in	in	ADP
ap-7699	412	61	d	d	PROPN
ap-7699	412	62	=	=	SYM
ap-7699	412	63	4	4	NUM
ap-7699	412	64	)	)	PUNCT
ap-7699	412	65	.	.	PUNCT
ap-7699	413	1	this	this	DET
ap-7699	413	2	feature	feature	NOUN
ap-7699	413	3	should	should	AUX
ap-7699	413	4	be	be	AUX
ap-7699	413	5	however	however	ADV
ap-7699	413	6	regained	regain	VERB
ap-7699	413	7	when	when	SCONJ
ap-7699	413	8	the	the	DET
ap-7699	413	9	final	final	ADJ
ap-7699	413	10	results	result	NOUN
ap-7699	413	11	are	be	AUX
ap-7699	413	12	obtained	obtain	VERB
ap-7699	413	13	.	.	PUNCT
ap-7699	414	1	this	this	PRON
ap-7699	414	2	is	be	AUX
ap-7699	414	3	actually	actually	ADV
ap-7699	414	4	a	a	DET
ap-7699	414	5	good	good	ADJ
ap-7699	414	6	check	check	NOUN
ap-7699	414	7	of	of	ADP
ap-7699	414	8	the	the	DET
ap-7699	414	9	computation	computation	NOUN
ap-7699	414	10	.	.	PUNCT
ap-7699	415	1	but	but	CCONJ
ap-7699	415	2	another	another	DET
ap-7699	415	3	property	property	NOUN
ap-7699	415	4	is	be	AUX
ap-7699	415	5	independence	independence	NOUN
ap-7699	415	6	of	of	ADP
ap-7699	415	7	the	the	DET
ap-7699	415	8	gauge	gauge	NOUN
ap-7699	415	9	-	-	PUNCT
ap-7699	415	10	fixing	fix	VERB
ap-7699	415	11	parameters	parameter	NOUN
ap-7699	415	12	,	,	PUNCT
ap-7699	415	13	which	which	PRON
ap-7699	415	14	are	be	AUX
ap-7699	415	15	spurious	spurious	ADJ
ap-7699	415	16	non	non	ADJ
ap-7699	415	17	-	-	ADJ
ap-7699	415	18	physical	physical	ADJ
ap-7699	415	19	parameters	parameter	NOUN
ap-7699	415	20	.	.	PUNCT
ap-7699	416	1	at	at	ADP
ap-7699	416	2	the	the	DET
ap-7699	416	3	same	same	ADJ
ap-7699	416	4	time	time	NOUN
ap-7699	416	5	,	,	PUNCT
ap-7699	416	6	a	a	DET
ap-7699	416	7	counterterm	counterterm	NOUN
ap-7699	416	8	might	might	AUX
ap-7699	416	9	be	be	AUX
ap-7699	416	10	gauge	gauge	NOUN
ap-7699	416	11	-	-	PUNCT
ap-7699	416	12	covariant	covariant	NOUN
ap-7699	416	13	(	(	PUNCT
ap-7699	416	14	built	build	VERB
ap-7699	416	15	with	with	ADP
ap-7699	416	16	f	f	PROPN
ap-7699	416	17	2	2	NUM
ap-7699	416	18	or	or	CCONJ
ap-7699	416	19	r2	r2	NOUN
ap-7699	416	20	terms	term	NOUN
ap-7699	416	21	)	)	PUNCT
ap-7699	416	22	,	,	PUNCT
ap-7699	416	23	but	but	CCONJ
ap-7699	416	24	its	its	PRON
ap-7699	416	25	front	front	ADJ
ap-7699	416	26	coefficient	coefficient	NOUN
ap-7699	416	27	may	may	AUX
ap-7699	416	28	depend	depend	VERB
ap-7699	416	29	on	on	ADP
ap-7699	416	30	these	these	DET
ap-7699	416	31	gauge	gauge	NOUN
ap-7699	416	32	parameters	parameter	NOUN
ap-7699	416	33	α	α	X
ap-7699	416	34	,	,	PUNCT
ap-7699	416	35	β	β	X
ap-7699	416	36	,	,	PUNCT
ap-7699	416	37	γ	γ	X
ap-7699	416	38	,	,	PUNCT
ap-7699	416	39	etc	etc	X
ap-7699	416	40	..	..	X
ap-7699	416	41	this	this	PRON
ap-7699	416	42	should	should	AUX
ap-7699	416	43	not	not	PART
ap-7699	416	44	happen	happen	VERB
ap-7699	416	45	for	for	ADP
ap-7699	416	46	the	the	DET
ap-7699	416	47	final	final	ADJ
ap-7699	416	48	results	result	NOUN
ap-7699	416	49	and	and	CCONJ
ap-7699	416	50	they	they	PRON
ap-7699	416	51	should	should	AUX
ap-7699	416	52	be	be	AUX
ap-7699	416	53	both	both	DET
ap-7699	416	54	gauge	gauge	NOUN
ap-7699	416	55	-	-	PUNCT
ap-7699	416	56	covariant	covariant	ADJ
ap-7699	416	57	(	(	PUNCT
ap-7699	416	58	so	so	ADV
ap-7699	416	59	gauge	gauge	ADJ
ap-7699	416	60	-	-	PUNCT
ap-7699	416	61	independent	independent	ADJ
ap-7699	416	62	or	or	CCONJ
ap-7699	416	63	gauge	gauge	NOUN
ap-7699	416	64	-	-	PUNCT
ap-7699	416	65	invariant	invariant	ADJ
ap-7699	416	66	)	)	PUNCT
ap-7699	416	67	and	and	CCONJ
ap-7699	416	68	also	also	ADV
ap-7699	416	69	gauge	gauge	NOUN
ap-7699	416	70	-	-	PUNCT
ap-7699	416	71	fixing	fix	VERB
ap-7699	416	72	parameters	parameter	NOUN
ap-7699	416	73	independent	independent	ADJ
ap-7699	416	74	.	.	PUNCT
ap-7699	417	1	these	these	DET
ap-7699	417	2	two	two	NUM
ap-7699	417	3	necessary	necessary	ADJ
ap-7699	417	4	properties	property	NOUN
ap-7699	417	5	,	,	PUNCT
ap-7699	417	6	to	to	PART
ap-7699	417	7	call	call	VERB
ap-7699	417	8	the	the	DET
ap-7699	417	9	result	result	NOUN
ap-7699	417	10	physical	physical	NOUN
ap-7699	417	11	,	,	PUNCT
ap-7699	417	12	must	must	AUX
ap-7699	417	13	be	be	AUX
ap-7699	417	14	realized	realize	VERB
ap-7699	417	15	completely	completely	ADV
ap-7699	417	16	independently	independently	ADV
ap-7699	417	17	and	and	CCONJ
ap-7699	417	18	they	they	PRON
ap-7699	417	19	are	be	AUX
ap-7699	417	20	a	a	DET
ap-7699	417	21	good	good	ADJ
ap-7699	417	22	check	check	NOUN
ap-7699	417	23	of	of	ADP
ap-7699	417	24	the	the	DET
ap-7699	417	25	correctness	correctness	NOUN
ap-7699	417	26	of	of	ADP
ap-7699	417	27	the	the	DET
ap-7699	417	28	calculation	calculation	NOUN
ap-7699	417	29	.	.	PUNCT
ap-7699	418	1	unfortunately	unfortunately	ADV
ap-7699	418	2	,	,	PUNCT
ap-7699	418	3	it	it	PRON
ap-7699	418	4	seems	seem	VERB
ap-7699	418	5	that	that	SCONJ
ap-7699	418	6	using	use	VERB
ap-7699	418	7	the	the	DET
ap-7699	418	8	bv	bv	PROPN
ap-7699	418	9	computational	computational	ADJ
ap-7699	418	10	methods	method	NOUN
ap-7699	418	11	even	even	ADV
ap-7699	418	12	in	in	ADP
ap-7699	418	13	the	the	DET
ap-7699	418	14	intermediate	intermediate	ADJ
ap-7699	418	15	results	result	NOUN
ap-7699	418	16	for	for	ADP
ap-7699	418	17	traces	trace	NOUN
ap-7699	418	18	of	of	ADP
ap-7699	418	19	separate	separate	ADJ
ap-7699	418	20	matrix	matrix	NOUN
ap-7699	418	21	-	-	PUNCT
ap-7699	418	22	valued	value	VERB
ap-7699	418	23	differential	differential	NOUN
ap-7699	418	24	operators	operator	NOUN
ap-7699	418	25	(	(	PUNCT
ap-7699	418	26	like	like	ADP
ap-7699	418	27	ĥ	ĥ	NOUN
ap-7699	418	28	,	,	PUNCT
ap-7699	418	29	m̂	m̂	NOUN
ap-7699	418	30	and	and	CCONJ
ap-7699	418	31	ĉ	ĉ	PROPN
ap-7699	418	32	)	)	PUNCT
ap-7699	418	33	,	,	PUNCT
ap-7699	418	34	we	we	PRON
ap-7699	418	35	see	see	VERB
ap-7699	418	36	already	already	ADV
ap-7699	418	37	both	both	DET
ap-7699	418	38	gaugeindependence	gaugeindependence	NOUN
ap-7699	418	39	and	and	CCONJ
ap-7699	418	40	gauge	gauge	NOUN
ap-7699	418	41	-	-	PUNCT
ap-7699	418	42	fixing	fix	VERB
ap-7699	418	43	parameters	parameter	NOUN
ap-7699	418	44	independence	independence	NOUN
ap-7699	418	45	provided	provide	VERB
ap-7699	418	46	that	that	SCONJ
ap-7699	418	47	such	such	ADJ
ap-7699	418	48	parameters	parameter	NOUN
ap-7699	418	49	were	be	AUX
ap-7699	418	50	not	not	PART
ap-7699	418	51	used	use	VERB
ap-7699	418	52	in	in	ADP
ap-7699	418	53	the	the	DET
ap-7699	418	54	definition	definition	NOUN
ap-7699	418	55	of	of	ADP
ap-7699	418	56	these	these	DET
ap-7699	418	57	operators	operator	NOUN
ap-7699	418	58	.	.	PUNCT
ap-7699	419	1	only	only	ADV
ap-7699	419	2	in	in	ADP
ap-7699	419	3	some	some	DET
ap-7699	419	4	cases	case	NOUN
ap-7699	419	5	,	,	PUNCT
ap-7699	419	6	the	the	DET
ap-7699	419	7	total	total	ADJ
ap-7699	419	8	result	result	NOUN
ap-7699	419	9	is	be	AUX
ap-7699	419	10	only	only	ADV
ap-7699	419	11	gauge	gauge	NOUN
ap-7699	419	12	-	-	PUNCT
ap-7699	419	13	fixing	fix	VERB
ap-7699	419	14	parameter	parameter	NOUN
ap-7699	419	15	independent	independent	ADJ
ap-7699	419	16	.	.	PUNCT
ap-7699	420	1	this	this	PRON
ap-7699	420	2	means	mean	VERB
ap-7699	420	3	that	that	SCONJ
ap-7699	420	4	within	within	ADP
ap-7699	420	5	this	this	DET
ap-7699	420	6	formalism	formalism	NOUN
ap-7699	420	7	of	of	ADP
ap-7699	420	8	computation	computation	NOUN
ap-7699	420	9	this	this	DET
ap-7699	420	10	check	check	NOUN
ap-7699	420	11	is	be	AUX
ap-7699	420	12	not	not	PART
ap-7699	420	13	very	very	ADV
ap-7699	420	14	valuable	valuable	ADJ
ap-7699	420	15	and	and	CCONJ
ap-7699	420	16	one	one	NOUN
ap-7699	420	17	basically	basically	ADV
ap-7699	420	18	has	have	VERB
ap-7699	420	19	to	to	PART
ap-7699	420	20	be	be	AUX
ap-7699	420	21	very	very	ADV
ap-7699	420	22	careful	careful	ADJ
ap-7699	420	23	to	to	PART
ap-7699	420	24	get	get	VERB
ap-7699	420	25	the	the	DET
ap-7699	420	26	correct	correct	ADJ
ap-7699	420	27	results	result	NOUN
ap-7699	420	28	at	at	ADP
ap-7699	420	29	the	the	DET
ap-7699	420	30	end	end	NOUN
ap-7699	420	31	.	.	PUNCT
ap-7699	421	1	instead	instead	ADV
ap-7699	421	2	,	,	PUNCT
ap-7699	421	3	we	we	PRON
ap-7699	421	4	perform	perform	VERB
ap-7699	421	5	a	a	DET
ap-7699	421	6	bunch	bunch	NOUN
ap-7699	421	7	of	of	ADP
ap-7699	421	8	other	other	ADJ
ap-7699	421	9	rigorous	rigorous	ADJ
ap-7699	421	10	checks	check	NOUN
ap-7699	421	11	of	of	ADP
ap-7699	421	12	our	our	PRON
ap-7699	421	13	results	result	NOUN
ap-7699	421	14	as	as	SCONJ
ap-7699	421	15	it	it	PRON
ap-7699	421	16	is	be	AUX
ap-7699	421	17	mentioned	mention	VERB
ap-7699	421	18	,	,	PUNCT
ap-7699	421	19	for	for	ADP
ap-7699	421	20	example	example	NOUN
ap-7699	421	21	,	,	PUNCT
ap-7699	421	22	in	in	ADP
ap-7699	421	23	section	section	NOUN
ap-7699	421	24	3	3	NUM
ap-7699	421	25	.	.	PUNCT
ap-7699	422	1	finally	finally	ADV
ap-7699	422	2	,	,	PUNCT
ap-7699	422	3	let	let	VERB
ap-7699	422	4	us	we	PRON
ap-7699	422	5	here	here	ADV
ap-7699	422	6	give	give	VERB
ap-7699	422	7	briefly	briefly	NOUN
ap-7699	422	8	a	a	DET
ap-7699	422	9	few	few	ADJ
ap-7699	422	10	details	detail	NOUN
ap-7699	422	11	concerning	concern	VERB
ap-7699	422	12	the	the	DET
ap-7699	422	13	choice	choice	NOUN
ap-7699	422	14	of	of	ADP
ap-7699	422	15	the	the	DET
ap-7699	422	16	gauge	gauge	NOUN
ap-7699	422	17	-	-	PUNCT
ap-7699	422	18	fixing	fix	VERB
ap-7699	422	19	parameters	parameter	NOUN
ap-7699	422	20	α	α	PRON
ap-7699	422	21	,	,	PUNCT
ap-7699	422	22	β	β	X
ap-7699	422	23	and	and	CCONJ
ap-7699	422	24	γ	γ	PROPN
ap-7699	422	25	.	.	PUNCT
ap-7699	423	1	the	the	DET
ap-7699	423	2	bilinear	bilinear	ADJ
ap-7699	423	3	form	form	NOUN
ap-7699	423	4	of	of	ADP
ap-7699	423	5	the	the	DET
ap-7699	423	6	action	action	NOUN
ap-7699	423	7	is	be	AUX
ap-7699	423	8	defined	define	VERB
ap-7699	423	9	from	from	ADP
ap-7699	423	10	the	the	DET
ap-7699	423	11	second	second	ADJ
ap-7699	423	12	variational	variational	ADJ
ap-7699	423	13	derivative	derivative	NOUN
ap-7699	423	14	(	(	PUNCT
ap-7699	423	15	giving	give	VERB
ap-7699	423	16	rise	rise	NOUN
ap-7699	423	17	to	to	ADP
ap-7699	423	18	the	the	DET
ap-7699	423	19	hessian	hessian	ADJ
ap-7699	423	20	operator	operator	NOUN
ap-7699	423	21	ĥ	ĥ	NOUN
ap-7699	423	22	)	)	PUNCT
ap-7699	423	23	ĥ	ĥ	X
ap-7699	423	24	=	=	SYM
ap-7699	423	25	hµν	hµν	PROPN
ap-7699	423	26	,	,	PUNCT
ap-7699	423	27	ρσ	ρσ	ADP
ap-7699	423	28	=	=	ADJ
ap-7699	423	29	1√	1√	PROPN
ap-7699	423	30	|g|	|g|	PROPN
ap-7699	423	31	δ2	δ2	ADJ
ap-7699	423	32	(	(	PUNCT
ap-7699	423	33	s	s	NOUN
ap-7699	423	34	+	+	CCONJ
ap-7699	423	35	sgf	sgf	ADJ
ap-7699	423	36	)	)	PUNCT
ap-7699	423	37	δhµν	δhµν	NOUN
ap-7699	423	38	δhρσ	δhρσ	NOUN
ap-7699	423	39	=	=	SYM
ap-7699	423	40	hµν	hµν	PROPN
ap-7699	423	41	,	,	PUNCT
ap-7699	423	42	ρσ	ρσ	ADP
ap-7699	423	43	lead	lead	VERB
ap-7699	423	44	+	+	CCONJ
ap-7699	423	45	o(∇4	o(∇4	X
ap-7699	423	46	)	)	PUNCT
ap-7699	423	47	,	,	PUNCT
ap-7699	423	48	(	(	PUNCT
ap-7699	423	49	19	19	NUM
ap-7699	423	50	)	)	PUNCT
ap-7699	423	51	where	where	SCONJ
ap-7699	423	52	the	the	DET
ap-7699	423	53	first	first	ADJ
ap-7699	423	54	term	term	NOUN
ap-7699	423	55	hµν	hµν	NOUN
ap-7699	423	56	,	,	PUNCT
ap-7699	423	57	ρσ	ρσ	DET
ap-7699	423	58	lead	lead	NOUN
ap-7699	423	59	contains	contain	VERB
ap-7699	423	60	six	six	NUM
ap-7699	423	61	-	-	PUNCT
ap-7699	423	62	derivative	derivative	ADJ
ap-7699	423	63	terms	term	NOUN
ap-7699	423	64	,	,	PUNCT
ap-7699	423	65	which	which	PRON
ap-7699	423	66	are	be	AUX
ap-7699	423	67	leading	lead	VERB
ap-7699	423	68	in	in	ADP
ap-7699	423	69	the	the	DET
ap-7699	423	70	uv	uv	NOUN
ap-7699	423	71	regime	regime	NOUN
ap-7699	423	72	.	.	PUNCT
ap-7699	424	1	by	by	ADP
ap-7699	424	2	o(∇4	o(∇4	NOUN
ap-7699	424	3	)	)	PUNCT
ap-7699	424	4	we	we	PRON
ap-7699	424	5	denote	denote	VERB
ap-7699	424	6	the	the	DET
ap-7699	424	7	rest	rest	NOUN
ap-7699	424	8	of	of	ADP
ap-7699	424	9	the	the	DET
ap-7699	424	10	bilinear	bilinear	NOUN
ap-7699	424	11	form	form	NOUN
ap-7699	424	12	,	,	PUNCT
ap-7699	424	13	with	with	ADP
ap-7699	424	14	four	four	NUM
ap-7699	424	15	or	or	CCONJ
ap-7699	424	16	less	less	ADJ
ap-7699	424	17	derivatives	derivative	NOUN
ap-7699	424	18	and	and	CCONJ
ap-7699	424	19	with	with	ADP
ap-7699	424	20	higher	high	ADJ
ap-7699	424	21	powers	power	NOUN
ap-7699	424	22	of	of	ADP
ap-7699	424	23	gravitational	gravitational	ADJ
ap-7699	424	24	curvatures	curvature	NOUN
ap-7699	424	25	r.	r.	VERB
ap-7699	424	26	the	the	DET
ap-7699	424	27	energy	energy	NOUN
ap-7699	424	28	dimension	dimension	NOUN
ap-7699	424	29	of	of	ADP
ap-7699	424	30	this	this	DET
ap-7699	424	31	expression	expression	NOUN
ap-7699	424	32	is	be	AUX
ap-7699	424	33	compensated	compensate	VERB
ap-7699	424	34	by	by	ADP
ap-7699	424	35	the	the	DET
ap-7699	424	36	powers	power	NOUN
ap-7699	424	37	of	of	ADP
ap-7699	424	38	curvature	curvature	NOUN
ap-7699	424	39	tensor	tensor	NOUN
ap-7699	424	40	r	r	NOUN
ap-7699	424	41	and	and	CCONJ
ap-7699	424	42	its	its	PRON
ap-7699	424	43	covariant	covariant	ADJ
ap-7699	424	44	derivatives	derivative	NOUN
ap-7699	424	45	,	,	PUNCT
ap-7699	424	46	hence	hence	ADV
ap-7699	424	47	in	in	ADP
ap-7699	424	48	this	this	DET
ap-7699	424	49	case	case	NOUN
ap-7699	424	50	,	,	PUNCT
ap-7699	424	51	we	we	PRON
ap-7699	424	52	can	can	AUX
ap-7699	424	53	also	also	ADV
ap-7699	424	54	denote	denote	VERB
ap-7699	424	55	o(∇4	o(∇4	ADJ
ap-7699	424	56	)	)	PUNCT
ap-7699	424	57	=	=	SYM
ap-7699	424	58	o(r	o(r	PROPN
ap-7699	424	59	)	)	PUNCT
ap-7699	424	60	.	.	PUNCT
ap-7699	425	1	the	the	DET
ap-7699	425	2	corresponding	corresponding	ADJ
ap-7699	425	3	full	full	ADJ
ap-7699	425	4	expression	expression	NOUN
ap-7699	425	5	for	for	ADP
ap-7699	425	6	the	the	DET
ap-7699	425	7	hessian	hessian	ADJ
ap-7699	425	8	operator	operator	NOUN
ap-7699	425	9	ĥ	ĥ	PUNCT
ap-7699	425	10	is	be	AUX
ap-7699	425	11	very	very	ADV
ap-7699	425	12	bulky	bulky	ADJ
ap-7699	425	13	,	,	PUNCT
ap-7699	425	14	and	and	CCONJ
ap-7699	425	15	we	we	PRON
ap-7699	425	16	will	will	AUX
ap-7699	425	17	not	not	PART
ap-7699	425	18	include	include	VERB
ap-7699	425	19	it	it	PRON
ap-7699	425	20	here	here	ADV
ap-7699	425	21	.	.	PUNCT
ap-7699	426	1	the	the	DET
ap-7699	426	2	highest	high	ADJ
ap-7699	426	3	derivative	derivative	ADJ
ap-7699	426	4	part	part	NOUN
ap-7699	426	5	(	(	PUNCT
ap-7699	426	6	leading	lead	VERB
ap-7699	426	7	in	in	ADP
ap-7699	426	8	the	the	DET
ap-7699	426	9	uv	uv	NOUN
ap-7699	426	10	regime	regime	NOUN
ap-7699	426	11	)	)	PUNCT
ap-7699	426	12	of	of	ADP
ap-7699	426	13	the	the	DET
ap-7699	426	14	ĥ	ĥ	NOUN
ap-7699	426	15	operator	operator	NOUN
ap-7699	426	16	,	,	PUNCT
ap-7699	426	17	after	after	ADP
ap-7699	426	18	adding	add	VERB
ap-7699	426	19	the	the	DET
ap-7699	426	20	gaugefixing	gaugefixe	VERB
ap-7699	426	21	term	term	NOUN
ap-7699	426	22	(	(	PUNCT
ap-7699	426	23	16	16	NUM
ap-7699	426	24	)	)	PUNCT
ap-7699	426	25	that	that	PRON
ap-7699	426	26	we	we	PRON
ap-7699	426	27	have	have	AUX
ap-7699	426	28	selected	select	VERB
ap-7699	426	29	,	,	PUNCT
ap-7699	426	30	has	have	VERB
ap-7699	426	31	the	the	DET
ap-7699	426	32	form	form	NOUN
ap-7699	426	33	hµν	hµν	NOUN
ap-7699	426	34	,	,	PUNCT
ap-7699	426	35	ρσ	ρσ	ADP
ap-7699	426	36	lead	lead	NOUN
ap-7699	426	37	=	=	PUNCT
ap-7699	426	38	[	[	PUNCT
ap-7699	426	39	ωc	ωc	ADP
ap-7699	426	40	δµν	δµν	NOUN
ap-7699	426	41	,	,	PUNCT
ap-7699	426	42	ρσ	ρσ	ADP
ap-7699	426	43	+	+	CCONJ
ap-7699	426	44	(	(	PUNCT
ap-7699	426	45	β2γ	β2γ	X
ap-7699	426	46	α	α	X
ap-7699	426	47	−ωc	−ωc	PROPN
ap-7699	426	48	3	3	NUM
ap-7699	426	49	+2ωr	+2ωr	SYM
ap-7699	426	50	)	)	PUNCT
ap-7699	426	51	gµνgρσ	gµνgρσ	NOUN
ap-7699	426	52	]	]	PUNCT
ap-7699	426	53	□	□	PUNCT
ap-7699	426	54	3	3	NUM
ap-7699	426	55	+	+	CCONJ
ap-7699	426	56	(	(	PUNCT
ap-7699	426	57	ωc	ωc	INTJ
ap-7699	426	58	3	3	NUM
ap-7699	426	59	−	−	NOUN
ap-7699	426	60	2ωr	2ωr	ADJ
ap-7699	426	61	−	−	PROPN
ap-7699	427	1	βγ	βγ	NOUN
ap-7699	427	2	α	α	NOUN
ap-7699	427	3	)	)	PUNCT
ap-7699	427	4	(	(	PUNCT
ap-7699	427	5	gρσ∇µ∇ν	gρσ∇µ∇ν	X
ap-7699	428	1	+	+	CCONJ
ap-7699	428	2	gµν∇ρ∇σ	gµν∇ρ∇σ	X
ap-7699	428	3	)	)	PUNCT
ap-7699	429	1	□	□	SYM
ap-7699	429	2	2	2	NUM
ap-7699	429	3	+	+	CCONJ
ap-7699	429	4	(	(	PUNCT
ap-7699	429	5	1	1	NUM
ap-7699	429	6	α	α	PRON
ap-7699	429	7	gµρ	gµρ	NOUN
ap-7699	429	8	−	−	PROPN
ap-7699	429	9	2ωcgµρ	2ωcgµρ	NUM
ap-7699	429	10	)	)	PUNCT
ap-7699	430	1	∇ν∇σ	∇ν∇σ	ADJ
ap-7699	430	2	□	□	X
ap-7699	430	3	2	2	NUM
ap-7699	430	4	+	+	CCONJ
ap-7699	430	5	(	(	PUNCT
ap-7699	430	6	2ωc	2ωc	ADJ
ap-7699	430	7	3	3	NUM
ap-7699	430	8	+	+	NUM
ap-7699	430	9	2ωr	2ωr	ADJ
ap-7699	430	10	+	+	CCONJ
ap-7699	430	11	γ	γ	X
ap-7699	430	12	−	−	PROPN
ap-7699	430	13	1	1	NUM
ap-7699	430	14	α	α	NOUN
ap-7699	430	15	)	)	PUNCT
ap-7699	431	1	∇µ∇ν∇ρ∇σ	∇µ∇ν∇ρ∇σ	ADP
ap-7699	431	2	□	□	X
ap-7699	431	3	.	.	PUNCT
ap-7699	432	1	(	(	PUNCT
ap-7699	432	2	20	20	NUM
ap-7699	432	3	)	)	PUNCT
ap-7699	432	4	in	in	ADP
ap-7699	432	5	this	this	DET
ap-7699	432	6	expression	expression	NOUN
ap-7699	432	7	,	,	PUNCT
ap-7699	432	8	we	we	PRON
ap-7699	432	9	do	do	AUX
ap-7699	432	10	not	not	PART
ap-7699	432	11	mark	mark	VERB
ap-7699	432	12	explicitly	explicitly	ADV
ap-7699	432	13	the	the	DET
ap-7699	432	14	symmetrization	symmetrization	NOUN
ap-7699	432	15	in	in	ADP
ap-7699	432	16	and	and	CCONJ
ap-7699	432	17	between	between	ADP
ap-7699	432	18	the	the	DET
ap-7699	432	19	pairs	pair	NOUN
ap-7699	432	20	of	of	ADP
ap-7699	432	21	indices	index	NOUN
ap-7699	432	22	(	(	PUNCT
ap-7699	432	23	µ	µ	NOUN
ap-7699	432	24	,	,	PUNCT
ap-7699	432	25	ν	ν	NOUN
ap-7699	432	26	)	)	PUNCT
ap-7699	432	27	and	and	CCONJ
ap-7699	432	28	(	(	PUNCT
ap-7699	432	29	ρ	ρ	PROPN
ap-7699	432	30	,	,	PUNCT
ap-7699	432	31	σ	σ	PROPN
ap-7699	432	32	)	)	PUNCT
ap-7699	432	33	for	for	ADP
ap-7699	432	34	the	the	DET
ap-7699	432	35	sake	sake	NOUN
ap-7699	432	36	of	of	ADP
ap-7699	432	37	brevity	brevity	NOUN
ap-7699	432	38	.	.	PUNCT
ap-7699	433	1	to	to	PART
ap-7699	433	2	make	make	VERB
ap-7699	433	3	the	the	DET
ap-7699	433	4	uv	uv	NOUN
ap-7699	433	5	-	-	PUNCT
ap-7699	433	6	leading	lead	VERB
ap-7699	433	7	part	part	NOUN
ap-7699	433	8	of	of	ADP
ap-7699	433	9	the	the	DET
ap-7699	433	10	hessian	hessian	ADJ
ap-7699	433	11	operator	operator	NOUN
ap-7699	433	12	hµν	hµν	NOUN
ap-7699	433	13	,	,	PUNCT
ap-7699	433	14	ρσ	ρσ	ADP
ap-7699	433	15	lead	lead	NOUN
ap-7699	433	16	minimal	minimal	ADJ
ap-7699	433	17	,	,	PUNCT
ap-7699	433	18	one	one	PRON
ap-7699	433	19	has	have	VERB
ap-7699	433	20	to	to	PART
ap-7699	433	21	choose	choose	VERB
ap-7699	433	22	the	the	DET
ap-7699	433	23	following	follow	VERB
ap-7699	433	24	values	value	NOUN
ap-7699	433	25	for	for	ADP
ap-7699	433	26	the	the	DET
ap-7699	433	27	gauge	gauge	NOUN
ap-7699	433	28	-	-	PUNCT
ap-7699	433	29	fixing	fix	VERB
ap-7699	433	30	parameters	parameter	NOUN
ap-7699	433	31	[	[	X
ap-7699	433	32	44	44	NUM
ap-7699	433	33	]	]	SYM
ap-7699	433	34	:	:	PUNCT
ap-7699	433	35	α	α	X
ap-7699	433	36	=	=	SYM
ap-7699	433	37	1	1	NUM
ap-7699	433	38	2ωc	2ωc	NOUN
ap-7699	433	39	,	,	PUNCT
ap-7699	434	1	β	β	X
ap-7699	434	2	=	=	SYM
ap-7699	434	3	ωc	ωc	PROPN
ap-7699	434	4	−	−	NUM
ap-7699	434	5	6ωr	6ωr	ADJ
ap-7699	434	6	4ωc	4ωc	NOUN
ap-7699	435	1	−	−	NOUN
ap-7699	435	2	6ωr	6ωr	NOUN
ap-7699	435	3	,	,	PUNCT
ap-7699	435	4	γ	γ	X
ap-7699	435	5	=	=	SYM
ap-7699	435	6	2ωc	2ωc	NOUN
ap-7699	435	7	−	−	PROPN
ap-7699	435	8	3ωr	3ωr	ADJ
ap-7699	435	9	3ωc	3ωc	NOUN
ap-7699	435	10	.	.	PUNCT
ap-7699	436	1	(	(	PUNCT
ap-7699	436	2	21	21	NUM
ap-7699	436	3	)	)	PUNCT
ap-7699	436	4	we	we	PRON
ap-7699	436	5	previously	previously	ADV
ap-7699	436	6	explained	explain	VERB
ap-7699	436	7	that	that	SCONJ
ap-7699	436	8	this	this	DET
ap-7699	436	9	choice	choice	NOUN
ap-7699	436	10	does	do	AUX
ap-7699	436	11	not	not	PART
ap-7699	436	12	affect	affect	VERB
ap-7699	436	13	the	the	DET
ap-7699	436	14	values	value	NOUN
ap-7699	436	15	and	and	CCONJ
ap-7699	436	16	the	the	DET
ap-7699	436	17	form	form	NOUN
ap-7699	436	18	of	of	ADP
ap-7699	436	19	one	one	NUM
ap-7699	436	20	-	-	PUNCT
ap-7699	436	21	loop	loop	NOUN
ap-7699	436	22	divergences	divergence	NOUN
ap-7699	436	23	in	in	ADP
ap-7699	436	24	super	super	ADJ
ap-7699	436	25	-	-	ADJ
ap-7699	436	26	renormalizable	renormalizable	ADJ
ap-7699	436	27	qg	qg	PROPN
ap-7699	436	28	.	.	PUNCT
ap-7699	437	1	thus	thus	ADV
ap-7699	437	2	,	,	PUNCT
ap-7699	437	3	we	we	PRON
ap-7699	437	4	assume	assume	VERB
ap-7699	437	5	it	it	PRON
ap-7699	437	6	as	as	ADP
ap-7699	437	7	the	the	DET
ap-7699	437	8	most	most	ADV
ap-7699	437	9	simple	simple	ADJ
ap-7699	437	10	option	option	NOUN
ap-7699	437	11	.	.	PUNCT
ap-7699	438	1	one	one	NUM
ap-7699	438	2	notices	notice	VERB
ap-7699	438	3	that	that	SCONJ
ap-7699	438	4	the	the	DET
ap-7699	438	5	expressions	expression	NOUN
ap-7699	438	6	for	for	ADP
ap-7699	438	7	gauge	gauge	NOUN
ap-7699	438	8	-	-	PUNCT
ap-7699	438	9	fixing	fix	VERB
ap-7699	438	10	parameters	parameter	NOUN
ap-7699	438	11	in	in	ADP
ap-7699	438	12	(	(	PUNCT
ap-7699	438	13	21	21	NUM
ap-7699	438	14	)	)	PUNCT
ap-7699	438	15	are	be	AUX
ap-7699	438	16	singular	singular	ADJ
ap-7699	438	17	in	in	ADP
ap-7699	438	18	the	the	DET
ap-7699	438	19	limit	limit	NOUN
ap-7699	438	20	ωc	ωc	INTJ
ap-7699	438	21	→	→	SYM
ap-7699	438	22	0	0	NUM
ap-7699	438	23	and	and	CCONJ
ap-7699	438	24	also	also	ADV
ap-7699	438	25	when	when	SCONJ
ap-7699	438	26	ωc	ωc	PROPN
ap-7699	438	27	=	=	SYM
ap-7699	438	28	3	3	NUM
ap-7699	438	29	2	2	NUM
ap-7699	438	30	ωr	ωr	NOUN
ap-7699	438	31	.	.	PUNCT
ap-7699	439	1	while	while	SCONJ
ap-7699	439	2	the	the	DET
ap-7699	439	3	first	first	ADJ
ap-7699	439	4	one	one	NOUN
ap-7699	439	5	is	be	AUX
ap-7699	439	6	clearly	clearly	ADV
ap-7699	439	7	understandable	understandable	ADJ
ap-7699	439	8	,	,	PUNCT
ap-7699	439	9	because	because	SCONJ
ap-7699	439	10	then	then	ADV
ap-7699	439	11	we	we	PRON
ap-7699	439	12	are	be	AUX
ap-7699	439	13	losing	lose	VERB
ap-7699	439	14	one	one	NUM
ap-7699	439	15	term	term	NOUN
ap-7699	439	16	ωcc	ωcc	NUM
ap-7699	439	17	□	□	PROPN
ap-7699	439	18	c	c	NOUN
ap-7699	439	19	in	in	ADP
ap-7699	439	20	the	the	DET
ap-7699	439	21	action	action	NOUN
ap-7699	439	22	(	(	PUNCT
ap-7699	439	23	10	10	NUM
ap-7699	439	24	)	)	PUNCT
ap-7699	439	25	and	and	CCONJ
ap-7699	439	26	the	the	DET
ap-7699	439	27	theory	theory	NOUN
ap-7699	439	28	is	be	AUX
ap-7699	439	29	degenerate	degenerate	ADJ
ap-7699	439	30	and	and	CCONJ
ap-7699	439	31	non	non	ADJ
ap-7699	439	32	-	-	ADJ
ap-7699	439	33	generic	generic	ADJ
ap-7699	439	34	,	,	PUNCT
ap-7699	439	35	the	the	DET
ap-7699	439	36	second	second	ADJ
ap-7699	439	37	condition	condition	NOUN
ap-7699	439	38	is	be	AUX
ap-7699	439	39	not	not	PART
ap-7699	439	40	easily	easily	ADV
ap-7699	439	41	understandable	understandable	ADJ
ap-7699	439	42	in	in	ADP
ap-7699	439	43	the	the	DET
ap-7699	439	44	weyl	weyl	ADJ
ap-7699	439	45	basis	basis	NOUN
ap-7699	439	46	of	of	ADP
ap-7699	439	47	writing	write	VERB
ap-7699	439	48	terms	term	NOUN
ap-7699	439	49	in	in	ADP
ap-7699	439	50	the	the	DET
ap-7699	439	51	action	action	NOUN
ap-7699	439	52	in	in	ADP
ap-7699	439	53	(	(	PUNCT
ap-7699	439	54	10	10	NUM
ap-7699	439	55	)	)	PUNCT
ap-7699	439	56	(	(	PUNCT
ap-7699	439	57	with	with	ADP
ap-7699	439	58	r2	r2	PROPN
ap-7699	439	59	and	and	CCONJ
ap-7699	439	60	c2	c2	PROPN
ap-7699	439	61	terms	term	NOUN
ap-7699	439	62	)	)	PUNCT
ap-7699	439	63	.	.	PUNCT
ap-7699	440	1	to	to	PART
ap-7699	440	2	explain	explain	VERB
ap-7699	440	3	this	this	DET
ap-7699	440	4	other	other	ADJ
ap-7699	440	5	spurious	spurious	ADJ
ap-7699	440	6	degeneracy	degeneracy	NOUN
ap-7699	440	7	one	one	NUM
ap-7699	440	8	rather	rather	ADV
ap-7699	440	9	goes	go	VERB
ap-7699	440	10	to	to	ADP
ap-7699	440	11	the	the	DET
ap-7699	440	12	ricci	ricci	PROPN
ap-7699	440	13	basis	basis	NOUN
ap-7699	440	14	of	of	ADP
ap-7699	440	15	writing	write	VERB
ap-7699	440	16	terms	term	NOUN
ap-7699	440	17	(	(	PUNCT
ap-7699	440	18	with	with	ADP
ap-7699	440	19	r2	r2	PROPN
ap-7699	440	20	and	and	CCONJ
ap-7699	440	21	r2	r2	PROPN
ap-7699	440	22	µν	µν	ADP
ap-7699	440	23	=	=	NOUN
ap-7699	440	24	rµνrµν	rµνrµν	NOUN
ap-7699	440	25	elements	element	NOUN
ap-7699	440	26	and	and	CCONJ
ap-7699	440	27	also	also	ADV
ap-7699	440	28	properly	properly	ADV
ap-7699	440	29	generalized	generalize	VERB
ap-7699	440	30	to	to	ADP
ap-7699	440	31	the	the	DET
ap-7699	440	32	six	six	NUM
ap-7699	440	33	-	-	PUNCT
ap-7699	440	34	derivative	derivative	ADJ
ap-7699	440	35	models	model	NOUN
ap-7699	440	36	by	by	ADP
ap-7699	440	37	inserting	insert	VERB
ap-7699	440	38	one	one	NUM
ap-7699	440	39	power	power	NOUN
ap-7699	440	40	of	of	ADP
ap-7699	440	41	the	the	DET
ap-7699	440	42	box	box	NOUN
ap-7699	440	43	operator	operator	NOUN
ap-7699	440	44	in	in	ADP
ap-7699	440	45	the	the	DET
ap-7699	440	46	middle	middle	NOUN
ap-7699	440	47	)	)	PUNCT
ap-7699	440	48	.	.	PUNCT
ap-7699	441	1	there	there	ADV
ap-7699	441	2	one	one	NUM
ap-7699	441	3	sees	see	VERB
ap-7699	441	4	that	that	SCONJ
ap-7699	441	5	the	the	DET
ap-7699	441	6	absence	absence	NOUN
ap-7699	441	7	of	of	ADP
ap-7699	441	8	the	the	DET
ap-7699	441	9	coefficient	coefficient	NOUN
ap-7699	441	10	in	in	ADP
ap-7699	441	11	front	front	NOUN
ap-7699	441	12	of	of	ADP
ap-7699	441	13	the	the	DET
ap-7699	441	14	r2	r2	PROPN
ap-7699	441	15	µν	µν	INTJ
ap-7699	441	16	leads	lead	VERB
ap-7699	441	17	to	to	ADP
ap-7699	441	18	the	the	DET
ap-7699	441	19	pathology	pathology	NOUN
ap-7699	441	20	in	in	ADP
ap-7699	441	21	the	the	DET
ap-7699	441	22	case	case	NOUN
ap-7699	441	23	of	of	ADP
ap-7699	441	24	ωc	ωc	X
ap-7699	441	25	=	=	SYM
ap-7699	441	26	3	3	NUM
ap-7699	441	27	2	2	NUM
ap-7699	441	28	ωr	ωr	ADJ
ap-7699	441	29	and	and	CCONJ
ap-7699	441	30	also	also	ADV
ap-7699	441	31	formal	formal	ADJ
ap-7699	441	32	divergence	divergence	NOUN
ap-7699	441	33	of	of	ADP
ap-7699	441	34	the	the	DET
ap-7699	441	35	β	β	X
ap-7699	441	36	gauge	gauge	NOUN
ap-7699	441	37	-	-	PUNCT
ap-7699	441	38	fixing	fix	VERB
ap-7699	441	39	parameter	parameter	NOUN
ap-7699	441	40	.	.	PUNCT
ap-7699	442	1	we	we	PRON
ap-7699	442	2	remark	remark	VERB
ap-7699	442	3	that	that	SCONJ
ap-7699	442	4	in	in	ADP
ap-7699	442	5	the	the	DET
ap-7699	442	6	final	final	ADJ
ap-7699	442	7	results	result	NOUN
ap-7699	442	8	there	there	PRON
ap-7699	442	9	is	be	VERB
ap-7699	442	10	no	no	DET
ap-7699	442	11	any	any	DET
ap-7699	442	12	trace	trace	NOUN
ap-7699	442	13	of	of	ADP
ap-7699	442	14	this	this	DET
ap-7699	442	15	denominator	denominator	NOUN
ap-7699	442	16	and	and	CCONJ
ap-7699	442	17	this	this	DET
ap-7699	442	18	divergence	divergence	NOUN
ap-7699	442	19	,	,	PUNCT
ap-7699	442	20	hence	hence	ADV
ap-7699	442	21	the	the	DET
ap-7699	442	22	condition	condition	NOUN
ap-7699	442	23	for	for	ADP
ap-7699	442	24	non	non	ADJ
ap-7699	442	25	-	-	ADJ
ap-7699	442	26	vanishing	vanishing	NOUN
ap-7699	442	27	of	of	ADP
ap-7699	442	28	the	the	DET
ap-7699	442	29	coefficient	coefficient	NOUN
ap-7699	442	30	in	in	ADP
ap-7699	442	31	front	front	NOUN
ap-7699	442	32	of	of	ADP
ap-7699	442	33	the	the	DET
ap-7699	442	34	covariant	covariant	ADJ
ap-7699	442	35	term	term	NOUN
ap-7699	442	36	r2	r2	PROPN
ap-7699	442	37	µν	µν	INTJ
ap-7699	442	38	in	in	ADP
ap-7699	442	39	the	the	DET
ap-7699	442	40	ricci	ricci	PROPN
ap-7699	442	41	basis	basis	NOUN
ap-7699	442	42	does	do	AUX
ap-7699	442	43	not	not	PART
ap-7699	442	44	have	have	VERB
ap-7699	442	45	any	any	DET
ap-7699	442	46	sensible	sensible	ADJ
ap-7699	442	47	and	and	CCONJ
ap-7699	442	48	crucial	crucial	ADJ
ap-7699	442	49	meaning	meaning	NOUN
ap-7699	442	50	–	–	PUNCT
ap-7699	442	51	this	this	PRON
ap-7699	442	52	is	be	AUX
ap-7699	442	53	only	only	ADV
ap-7699	442	54	a	a	DET
ap-7699	442	55	spurious	spurious	ADJ
ap-7699	442	56	intermediate	intermediate	ADJ
ap-7699	442	57	dependence	dependence	NOUN
ap-7699	442	58	on	on	ADP
ap-7699	442	59	(	(	PUNCT
ap-7699	442	60	4ωc	4ωc	NOUN
ap-7699	442	61	−6ωr)−1	−6ωr)−1	PROPN
ap-7699	442	62	.	.	PUNCT
ap-7699	442	63	contrary	contrary	PROPN
ap-7699	442	64	,	,	PUNCT
ap-7699	442	65	the	the	DET
ap-7699	442	66	singular	singular	ADJ
ap-7699	442	67	dependence	dependence	NOUN
ap-7699	442	68	on	on	ADP
ap-7699	442	69	ωc	ωc	INTJ
ap-7699	442	70	coefficient	coefficient	NOUN
ap-7699	442	71	is	be	AUX
ap-7699	442	72	very	very	ADV
ap-7699	442	73	crucial	crucial	ADJ
ap-7699	442	74	and	and	CCONJ
ap-7699	442	75	will	will	AUX
ap-7699	442	76	be	be	AUX
ap-7699	442	77	analyzed	analyze	VERB
ap-7699	442	78	at	at	ADP
ap-7699	442	79	length	length	NOUN
ap-7699	442	80	here	here	ADV
ap-7699	442	81	.	.	PUNCT
ap-7699	443	1	actually	actually	ADV
ap-7699	443	2	,	,	PUNCT
ap-7699	443	3	to	to	PART
ap-7699	443	4	verify	verify	VERB
ap-7699	443	5	that	that	SCONJ
ap-7699	443	6	the	the	DET
ap-7699	443	7	denominators	denominator	NOUN
ap-7699	443	8	with	with	ADP
ap-7699	443	9	(	(	PUNCT
ap-7699	443	10	4ωc	4ωc	NOUN
ap-7699	443	11	−	−	PROPN
ap-7699	443	12	6ωr)−1	6ωr)−1	NUM
ap-7699	443	13	completely	completely	ADV
ap-7699	443	14	cancel	cancel	VERB
ap-7699	443	15	out	out	ADP
ap-7699	443	16	in	in	ADP
ap-7699	443	17	the	the	DET
ap-7699	443	18	final	final	ADJ
ap-7699	443	19	results	result	NOUN
ap-7699	443	20	is	be	AUX
ap-7699	443	21	a	a	DET
ap-7699	443	22	powerful	powerful	ADJ
ap-7699	443	23	check	check	NOUN
ap-7699	443	24	of	of	ADP
ap-7699	443	25	our	our	PRON
ap-7699	443	26	method	method	NOUN
ap-7699	443	27	of	of	ADP
ap-7699	443	28	computation	computation	NOUN
ap-7699	443	29	.	.	PUNCT
ap-7699	444	1	now	now	ADV
ap-7699	444	2	we	we	PRON
ap-7699	444	3	can	can	AUX
ap-7699	444	4	collect	collect	VERB
ap-7699	444	5	all	all	DET
ap-7699	444	6	the	the	DET
ap-7699	444	7	necessary	necessary	ADJ
ap-7699	444	8	elements	element	NOUN
ap-7699	444	9	to	to	PART
ap-7699	444	10	write	write	VERB
ap-7699	444	11	down	down	ADP
ap-7699	444	12	the	the	DET
ap-7699	444	13	general	general	ADJ
ap-7699	444	14	formula	formula	NOUN
ap-7699	444	15	for	for	ADP
ap-7699	444	16	the	the	DET
ap-7699	444	17	uv	uv	NOUN
ap-7699	444	18	-	-	PUNCT
ap-7699	444	19	divergent	divergent	ADJ
ap-7699	444	20	part	part	NOUN
ap-7699	444	21	of	of	ADP
ap-7699	444	22	the	the	DET
ap-7699	444	23	one	one	NUM
ap-7699	444	24	-	-	PUNCT
ap-7699	444	25	loop	loop	NOUN
ap-7699	444	26	contribution	contribution	NOUN
ap-7699	444	27	to	to	ADP
ap-7699	444	28	the	the	DET
ap-7699	444	29	effective	effective	ADJ
ap-7699	444	30	action	action	NOUN
ap-7699	444	31	of	of	ADP
ap-7699	444	32	the	the	DET
ap-7699	444	33	theory	theory	NOUN
ap-7699	444	34	[	[	X
ap-7699	444	35	41	41	NUM
ap-7699	444	36	]	]	PUNCT
ap-7699	444	37	,	,	PUNCT
ap-7699	444	38	γ̄(1	γ̄(1	PUNCT
ap-7699	444	39	)	)	PUNCT
ap-7699	445	1	=	=	NOUN
ap-7699	445	2	i	i	PRON
ap-7699	445	3	2tr	2tr	NOUN
ap-7699	445	4	ln	ln	ADJ
ap-7699	445	5	ĥ	ĥ	X
ap-7699	445	6	−	−	PROPN
ap-7699	445	7	itr	itr	X
ap-7699	445	8	ln	ln	NOUN
ap-7699	445	9	m̂	m̂	PROPN
ap-7699	446	1	−	−	PROPN
ap-7699	447	1	i	i	PRON
ap-7699	447	2	2tr	2tr	NOUN
ap-7699	447	3	ln	ln	ADJ
ap-7699	447	4	ĉ.	ĉ.	NOUN
ap-7699	447	5	(	(	PUNCT
ap-7699	447	6	22	22	NUM
ap-7699	447	7	)	)	PUNCT
ap-7699	447	8	the	the	DET
ap-7699	447	9	calculation	calculation	NOUN
ap-7699	447	10	of	of	ADP
ap-7699	447	11	the	the	DET
ap-7699	447	12	divergent	divergent	ADJ
ap-7699	447	13	parts	part	NOUN
ap-7699	447	14	of	of	ADP
ap-7699	447	15	the	the	DET
ap-7699	447	16	first	first	ADJ
ap-7699	447	17	two	two	NUM
ap-7699	447	18	expressions	expression	NOUN
ap-7699	447	19	in	in	ADP
ap-7699	447	20	(	(	PUNCT
ap-7699	447	21	22	22	NUM
ap-7699	447	22	)	)	PUNCT
ap-7699	447	23	is	be	AUX
ap-7699	447	24	very	very	ADV
ap-7699	447	25	standard	standard	ADJ
ap-7699	447	26	.	.	PUNCT
ap-7699	448	1	one	one	NUM
ap-7699	448	2	uses	use	VERB
ap-7699	448	3	for	for	ADP
ap-7699	448	4	this	this	PRON
ap-7699	448	5	the	the	DET
ap-7699	448	6	technique	technique	NOUN
ap-7699	448	7	of	of	ADP
ap-7699	448	8	the	the	DET
ap-7699	448	9	generalized	generalize	VERB
ap-7699	448	10	schwingerdewitt	schwingerdewitt	NOUN
ap-7699	448	11	method	method	NOUN
ap-7699	448	12	[	[	X
ap-7699	448	13	27	27	NUM
ap-7699	448	14	]	]	PUNCT
ap-7699	448	15	,	,	PUNCT
ap-7699	448	16	which	which	PRON
ap-7699	448	17	was	be	AUX
ap-7699	448	18	first	first	ADV
ap-7699	448	19	introduced	introduce	VERB
ap-7699	448	20	by	by	ADP
ap-7699	448	21	barvinsky	barvinsky	ADJ
ap-7699	448	22	and	and	CCONJ
ap-7699	448	23	vilkovisky	vilkovisky	NOUN
ap-7699	448	24	.	.	PUNCT
ap-7699	449	1	for	for	ADP
ap-7699	449	2	this	this	DET
ap-7699	449	3	reason	reason	NOUN
ap-7699	449	4	we	we	PRON
ap-7699	449	5	shall	shall	AUX
ap-7699	449	6	skip	skip	VERB
ap-7699	449	7	most	most	ADJ
ap-7699	449	8	of	of	ADP
ap-7699	449	9	the	the	DET
ap-7699	449	10	standard	standard	ADJ
ap-7699	449	11	technical	technical	ADJ
ap-7699	449	12	details	detail	NOUN
ap-7699	449	13	here	here	ADV
ap-7699	449	14	.	.	PUNCT
ap-7699	450	1	we	we	PRON
ap-7699	450	2	use	use	VERB
ap-7699	450	3	the	the	DET
ap-7699	450	4	barvinsky	barvinsky	ADJ
ap-7699	450	5	-	-	PUNCT
ap-7699	450	6	vilkovisky	vilkovisky	NOUN
ap-7699	450	7	trace	trace	NOUN
ap-7699	450	8	technology	technology	NOUN
ap-7699	450	9	related	relate	VERB
ap-7699	450	10	to	to	ADP
ap-7699	450	11	the	the	DET
ap-7699	450	12	covariant	covariant	ADJ
ap-7699	450	13	heat	heat	NOUN
ap-7699	450	14	kernel	kernel	NOUN
ap-7699	450	15	methods	method	NOUN
ap-7699	450	16	together	together	ADV
ap-7699	450	17	with	with	ADP
ap-7699	450	18	methods	method	NOUN
ap-7699	450	19	of	of	ADP
ap-7699	450	20	dimensional	dimensional	ADJ
ap-7699	450	21	regularization	regularization	NOUN
ap-7699	450	22	(	(	PUNCT
ap-7699	450	23	dimreg	dimreg	NOUN
ap-7699	450	24	)	)	PUNCT
ap-7699	450	25	to	to	PART
ap-7699	450	26	evaluate	evaluate	VERB
ap-7699	450	27	the	the	DET
ap-7699	450	28	functional	functional	ADJ
ap-7699	450	29	traces	trace	NOUN
ap-7699	450	30	present	present	ADJ
ap-7699	450	31	in	in	ADP
ap-7699	450	32	(	(	PUNCT
ap-7699	450	33	22	22	NUM
ap-7699	450	34	)	)	PUNCT
ap-7699	450	35	and	and	CCONJ
ap-7699	450	36	to	to	ADP
ap-7699	450	37	130	130	NUM
ap-7699	450	38	vol	vol	NOUN
ap-7699	450	39	.	.	PUNCT
ap-7699	451	1	62	62	NUM
ap-7699	451	2	no	no	INTJ
ap-7699	451	3	.	.	PUNCT
ap-7699	452	1	1/2022	1/2022	NUM
ap-7699	452	2	beta	beta	NOUN
ap-7699	452	3	functions	function	NOUN
ap-7699	452	4	in	in	ADP
ap-7699	452	5	six	six	NUM
ap-7699	452	6	-	-	PUNCT
ap-7699	452	7	derivative	derivative	ADJ
ap-7699	452	8	quantum	quantum	NOUN
ap-7699	452	9	gravity	gravity	NOUN
ap-7699	452	10	have	have	VERB
ap-7699	452	11	under	under	ADP
ap-7699	452	12	control	control	VERB
ap-7699	452	13	the	the	DET
ap-7699	452	14	general	general	ADJ
ap-7699	452	15	covariance	covariance	NOUN
ap-7699	452	16	of	of	ADP
ap-7699	452	17	the	the	DET
ap-7699	452	18	final	final	ADJ
ap-7699	452	19	results	result	NOUN
ap-7699	452	20	.	.	PUNCT
ap-7699	453	1	due	due	ADP
ap-7699	453	2	to	to	ADP
ap-7699	453	3	this	this	PRON
ap-7699	453	4	we	we	PRON
ap-7699	453	5	can	can	AUX
ap-7699	453	6	not	not	PART
ap-7699	453	7	check	check	VERB
ap-7699	453	8	it	it	PRON
ap-7699	453	9	because	because	SCONJ
ap-7699	453	10	all	all	DET
ap-7699	453	11	three	three	NUM
ap-7699	453	12	contributions	contribution	NOUN
ap-7699	453	13	in	in	ADP
ap-7699	453	14	(	(	PUNCT
ap-7699	453	15	22	22	NUM
ap-7699	453	16	)	)	PUNCT
ap-7699	453	17	gives	give	VERB
ap-7699	453	18	results	result	NOUN
ap-7699	453	19	which	which	PRON
ap-7699	453	20	look	look	VERB
ap-7699	453	21	covariant	covariant	ADJ
ap-7699	453	22	and	and	CCONJ
ap-7699	453	23	sensible	sensible	ADJ
ap-7699	453	24	.	.	PUNCT
ap-7699	454	1	we	we	PRON
ap-7699	454	2	remind	remind	VERB
ap-7699	454	3	the	the	DET
ap-7699	454	4	reader	reader	NOUN
ap-7699	454	5	that	that	SCONJ
ap-7699	454	6	here	here	ADV
ap-7699	454	7	we	we	PRON
ap-7699	454	8	work	work	VERB
ap-7699	454	9	with	with	ADP
ap-7699	454	10	the	the	DET
ap-7699	454	11	minimal	minimal	ADJ
ap-7699	454	12	gauge	gauge	NOUN
ap-7699	454	13	choice	choice	NOUN
ap-7699	454	14	and	and	CCONJ
ap-7699	454	15	in	in	ADP
ap-7699	454	16	general	general	ADJ
ap-7699	454	17	all	all	DET
ap-7699	454	18	three	three	NUM
ap-7699	454	19	terms	term	NOUN
ap-7699	454	20	separately	separately	ADV
ap-7699	454	21	will	will	AUX
ap-7699	454	22	show	show	VERB
ap-7699	454	23	the	the	DET
ap-7699	454	24	gauge	gauge	ADJ
ap-7699	454	25	dependence	dependence	NOUN
ap-7699	454	26	and	and	CCONJ
ap-7699	454	27	also	also	ADV
ap-7699	454	28	spurious	spurious	ADJ
ap-7699	454	29	dependence	dependence	NOUN
ap-7699	454	30	on	on	ADP
ap-7699	454	31	gaugefixing	gaugefixe	VERB
ap-7699	454	32	parameters	parameter	NOUN
ap-7699	454	33	α	α	NOUN
ap-7699	454	34	,	,	PUNCT
ap-7699	454	35	β	β	X
ap-7699	454	36	and	and	CCONJ
ap-7699	454	37	γ	γ	PROPN
ap-7699	454	38	.	.	PROPN
ap-7699	455	1	however	however	ADV
ap-7699	455	2	,	,	PUNCT
ap-7699	455	3	only	only	ADV
ap-7699	455	4	the	the	DET
ap-7699	455	5	final	final	ADJ
ap-7699	455	6	results	result	NOUN
ap-7699	455	7	,	,	PUNCT
ap-7699	455	8	so	so	CCONJ
ap-7699	455	9	the	the	DET
ap-7699	455	10	weighted	weight	VERB
ap-7699	455	11	sum	sum	NOUN
ap-7699	455	12	as	as	ADP
ap-7699	455	13	in	in	ADP
ap-7699	455	14	(	(	PUNCT
ap-7699	455	15	22	22	NUM
ap-7699	455	16	)	)	PUNCT
ap-7699	455	17	is	be	AUX
ap-7699	455	18	properly	properly	ADV
ap-7699	455	19	gauge	gauge	ADJ
ap-7699	455	20	-	-	PUNCT
ap-7699	455	21	independent	independent	ADJ
ap-7699	455	22	and	and	CCONJ
ap-7699	455	23	gauge	gauge	NOUN
ap-7699	455	24	-	-	PUNCT
ap-7699	455	25	fixing	fix	VERB
ap-7699	455	26	independent	independent	ADJ
ap-7699	455	27	and	and	CCONJ
ap-7699	455	28	gives	give	VERB
ap-7699	455	29	rise	rise	NOUN
ap-7699	455	30	to	to	ADP
ap-7699	455	31	a	a	DET
ap-7699	455	32	physical	physical	ADJ
ap-7699	455	33	observable	observable	ADJ
ap-7699	455	34	of	of	ADP
ap-7699	455	35	the	the	DET
ap-7699	455	36	beta	beta	ADJ
ap-7699	455	37	functional	functional	NOUN
ap-7699	455	38	of	of	ADP
ap-7699	455	39	the	the	DET
ap-7699	455	40	theory	theory	NOUN
ap-7699	455	41	at	at	ADP
ap-7699	455	42	the	the	DET
ap-7699	455	43	one	one	NUM
ap-7699	455	44	-	-	PUNCT
ap-7699	455	45	loop	loop	NOUN
ap-7699	455	46	level	level	NOUN
ap-7699	455	47	.	.	PUNCT
ap-7699	456	1	the	the	DET
ap-7699	456	2	computational	computational	ADJ
ap-7699	456	3	method	method	NOUN
ap-7699	456	4	that	that	PRON
ap-7699	456	5	we	we	PRON
ap-7699	456	6	adopt	adopt	VERB
ap-7699	456	7	here	here	ADV
ap-7699	456	8	consists	consist	VERB
ap-7699	456	9	basically	basically	ADV
ap-7699	456	10	of	of	ADP
ap-7699	456	11	using	use	VERB
ap-7699	456	12	the	the	DET
ap-7699	456	13	barvinsky	barvinsky	ADJ
ap-7699	456	14	-	-	PUNCT
ap-7699	456	15	vilkovisky	vilkovisky	NOUN
ap-7699	456	16	trace	trace	NOUN
ap-7699	456	17	technology	technology	NOUN
ap-7699	456	18	to	to	PART
ap-7699	456	19	compute	compute	VERB
ap-7699	456	20	functional	functional	ADJ
ap-7699	456	21	traces	trace	NOUN
ap-7699	456	22	of	of	ADP
ap-7699	456	23	differential	differential	ADJ
ap-7699	456	24	operators	operator	NOUN
ap-7699	456	25	giving	give	VERB
ap-7699	456	26	the	the	DET
ap-7699	456	27	expression	expression	NOUN
ap-7699	456	28	for	for	ADP
ap-7699	456	29	the	the	DET
ap-7699	456	30	uv	uv	NOUN
ap-7699	456	31	-	-	PUNCT
ap-7699	456	32	divergent	divergent	ADJ
ap-7699	456	33	parts	part	NOUN
ap-7699	456	34	of	of	ADP
ap-7699	456	35	the	the	DET
ap-7699	456	36	effective	effective	ADJ
ap-7699	456	37	action	action	NOUN
ap-7699	456	38	at	at	ADP
ap-7699	456	39	the	the	DET
ap-7699	456	40	one	one	NUM
ap-7699	456	41	-	-	PUNCT
ap-7699	456	42	loop	loop	NOUN
ap-7699	456	43	level	level	NOUN
ap-7699	456	44	.	.	PUNCT
ap-7699	457	1	the	the	DET
ap-7699	457	2	main	main	ADJ
ap-7699	457	3	results	result	NOUN
ap-7699	457	4	are	be	AUX
ap-7699	457	5	obtained	obtain	VERB
ap-7699	457	6	in	in	ADP
ap-7699	457	7	background	background	NOUN
ap-7699	457	8	field	field	NOUN
ap-7699	457	9	method	method	NOUN
ap-7699	457	10	and	and	CCONJ
ap-7699	457	11	from	from	ADP
ap-7699	457	12	uv	uv	NOUN
ap-7699	457	13	divergences	divergence	NOUN
ap-7699	457	14	in	in	ADP
ap-7699	457	15	[	[	X
ap-7699	457	16	26	26	NUM
ap-7699	457	17	]	]	PUNCT
ap-7699	457	18	we	we	PRON
ap-7699	457	19	read	read	VERB
ap-7699	457	20	the	the	DET
ap-7699	457	21	beta	beta	NOUN
ap-7699	457	22	functions	function	NOUN
ap-7699	457	23	of	of	ADP
ap-7699	457	24	running	run	VERB
ap-7699	457	25	gravitational	gravitational	ADJ
ap-7699	457	26	couplings	coupling	NOUN
ap-7699	457	27	.	.	PUNCT
ap-7699	458	1	we	we	PRON
ap-7699	458	2	also	also	ADV
ap-7699	458	3	present	present	VERB
ap-7699	458	4	here	here	ADV
ap-7699	458	5	below	below	ADP
ap-7699	458	6	an	an	DET
ap-7699	458	7	illustrative	illustrative	ADJ
ap-7699	458	8	scalar	scalar	ADJ
ap-7699	458	9	example	example	NOUN
ap-7699	458	10	of	of	ADP
ap-7699	458	11	the	the	DET
ap-7699	458	12	techniques	technique	NOUN
ap-7699	458	13	by	by	ADP
ap-7699	458	14	which	which	PRON
ap-7699	458	15	these	these	DET
ap-7699	458	16	results	result	NOUN
ap-7699	458	17	were	be	AUX
ap-7699	458	18	obtained	obtain	VERB
ap-7699	458	19	.	.	PUNCT
ap-7699	459	1	2.1	2.1	NUM
ap-7699	459	2	.	.	PUNCT
ap-7699	459	3	example	example	NOUN
ap-7699	459	4	of	of	ADP
ap-7699	459	5	the	the	DET
ap-7699	459	6	bv	bv	PROPN
ap-7699	459	7	method	method	NOUN
ap-7699	459	8	of	of	ADP
ap-7699	459	9	computation	computation	NOUN
ap-7699	459	10	for	for	ADP
ap-7699	459	11	the	the	DET
ap-7699	459	12	scalar	scalar	ADJ
ap-7699	459	13	case	case	NOUN
ap-7699	459	14	the	the	DET
ap-7699	459	15	simplest	simple	ADJ
ap-7699	459	16	example	example	NOUN
ap-7699	459	17	to	to	PART
ap-7699	459	18	use	use	VERB
ap-7699	459	19	the	the	DET
ap-7699	459	20	technique	technique	NOUN
ap-7699	459	21	of	of	ADP
ap-7699	459	22	computation	computation	NOUN
ap-7699	459	23	presented	present	VERB
ap-7699	459	24	here	here	ADV
ap-7699	459	25	can	can	AUX
ap-7699	459	26	be	be	AUX
ap-7699	459	27	based	base	VERB
ap-7699	459	28	on	on	ADP
ap-7699	459	29	the	the	DET
ap-7699	459	30	analysis	analysis	NOUN
ap-7699	459	31	of	of	ADP
ap-7699	459	32	the	the	DET
ap-7699	459	33	scalar	scalar	ADJ
ap-7699	459	34	case	case	NOUN
ap-7699	459	35	given	give	VERB
ap-7699	459	36	by	by	ADP
ap-7699	459	37	the	the	DET
ap-7699	459	38	action	action	NOUN
ap-7699	459	39	s	s	PART
ap-7699	459	40	=	=	SYM
ap-7699	459	41	∫	∫	PROPN
ap-7699	459	42	d4x	d4x	PROPN
ap-7699	459	43	(	(	PUNCT
ap-7699	459	44	−1	−1	NOUN
ap-7699	459	45	2ϕ	2ϕ	NOUN
ap-7699	459	46	□	□	PUNCT
ap-7699	459	47	ϕ	ϕ	NOUN
ap-7699	459	48	−	−	PROPN
ap-7699	459	49	λ	λ	PROPN
ap-7699	459	50	4!ϕ	4!ϕ	NUM
ap-7699	459	51	4	4	NUM
ap-7699	459	52	)	)	PUNCT
ap-7699	459	53	.	.	PUNCT
ap-7699	460	1	(	(	PUNCT
ap-7699	460	2	23	23	NUM
ap-7699	460	3	)	)	PUNCT
ap-7699	460	4	from	from	ADP
ap-7699	460	5	this	this	DET
ap-7699	460	6	action	action	NOUN
ap-7699	460	7	one	one	NUM
ap-7699	460	8	reads	read	VERB
ap-7699	460	9	the	the	DET
ap-7699	460	10	second	second	ADJ
ap-7699	460	11	variational	variational	ADJ
ap-7699	460	12	derivative	derivative	ADJ
ap-7699	460	13	operator	operator	NOUN
ap-7699	460	14	(	(	PUNCT
ap-7699	460	15	also	also	ADV
ap-7699	460	16	known	know	VERB
ap-7699	460	17	as	as	ADP
ap-7699	460	18	the	the	DET
ap-7699	460	19	hessian	hessian	NOUN
ap-7699	460	20	)	)	PUNCT
ap-7699	460	21	given	give	VERB
ap-7699	460	22	by	by	ADP
ap-7699	460	23	the	the	DET
ap-7699	460	24	formula	formula	NOUN
ap-7699	460	25	h	h	NOUN
ap-7699	460	26	=	=	PUNCT
ap-7699	460	27	δ2s	δ2s	PROPN
ap-7699	460	28	δϕ2	δϕ2	X
ap-7699	460	29	=	=	SYM
ap-7699	460	30	−	−	PROPN
ap-7699	460	31	□	□	SYM
ap-7699	460	32	−	−	NUM
ap-7699	460	33	λ	λ	NOUN
ap-7699	460	34	2	2	NUM
ap-7699	460	35	ϕ2	ϕ2	ADV
ap-7699	460	36	.	.	PUNCT
ap-7699	461	1	(	(	PUNCT
ap-7699	461	2	24	24	NUM
ap-7699	461	3	)	)	PUNCT
ap-7699	461	4	next	next	ADV
ap-7699	461	5	,	,	PUNCT
ap-7699	461	6	one	one	PRON
ap-7699	461	7	needs	need	VERB
ap-7699	461	8	to	to	PART
ap-7699	461	9	compute	compute	VERB
ap-7699	461	10	the	the	DET
ap-7699	461	11	following	following	ADJ
ap-7699	461	12	functional	functional	ADJ
ap-7699	461	13	trace	trace	NOUN
ap-7699	461	14	tr	tr	NOUN
ap-7699	461	15	ln	ln	ADJ
ap-7699	461	16	h	h	NOUN
ap-7699	461	17	to	to	PART
ap-7699	461	18	get	get	VERB
ap-7699	461	19	the	the	DET
ap-7699	461	20	uv	uv	NOUN
ap-7699	461	21	-	-	PUNCT
ap-7699	461	22	divergent	divergent	ADJ
ap-7699	461	23	part	part	NOUN
ap-7699	461	24	of	of	ADP
ap-7699	461	25	the	the	DET
ap-7699	461	26	oneloop	oneloop	NOUN
ap-7699	461	27	effective	effective	ADJ
ap-7699	461	28	action	action	NOUN
ap-7699	461	29	tr	tr	VERB
ap-7699	461	30	ln	ln	ADJ
ap-7699	461	31	h	h	NOUN
ap-7699	461	32	=	=	PUNCT
ap-7699	462	1	tr	tr	VERB
ap-7699	462	2	ln	ln	ADV
ap-7699	462	3	(	(	PUNCT
ap-7699	462	4	−	−	PROPN
ap-7699	462	5	□	□	SYM
ap-7699	462	6	−	−	NUM
ap-7699	462	7	λ	λ	NOUN
ap-7699	462	8	2	2	NUM
ap-7699	462	9	ϕ2	ϕ2	ADV
ap-7699	462	10	)	)	PUNCT
ap-7699	462	11	=	=	PUNCT
ap-7699	463	1	tr	tr	VERB
ap-7699	463	2	ln	ln	ADV
ap-7699	463	3	(	(	PUNCT
ap-7699	463	4	−	−	PROPN
ap-7699	463	5	□	□	PUNCT
ap-7699	463	6	(	(	PUNCT
ap-7699	463	7	1	1	NUM
ap-7699	463	8	+	+	NUM
ap-7699	463	9	λ	λ	X
ap-7699	463	10	2	2	NUM
ap-7699	463	11	ϕ2	ϕ2	ADV
ap-7699	463	12	□	□	NUM
ap-7699	463	13	−1	−1	NOUN
ap-7699	463	14	)	)	PUNCT
ap-7699	463	15	)	)	PUNCT
ap-7699	464	1	=	=	PUNCT
ap-7699	464	2	tr	tr	VERB
ap-7699	464	3	ln	ln	ADJ
ap-7699	464	4	(	(	PUNCT
ap-7699	464	5	−	−	NOUN
ap-7699	464	6	□	□	PUNCT
ap-7699	464	7	)	)	PUNCT
ap-7699	464	8	+	+	CCONJ
ap-7699	464	9	tr	tr	VERB
ap-7699	464	10	ln	ln	ADJ
ap-7699	464	11	(	(	PUNCT
ap-7699	464	12	1	1	NUM
ap-7699	464	13	+	+	NUM
ap-7699	464	14	λ	λ	X
ap-7699	464	15	2	2	NUM
ap-7699	464	16	ϕ2	ϕ2	ADV
ap-7699	464	17	□	□	NUM
ap-7699	464	18	−1	−1	NOUN
ap-7699	464	19	)	)	PUNCT
ap-7699	464	20	.	.	PUNCT
ap-7699	465	1	(	(	PUNCT
ap-7699	465	2	25	25	NUM
ap-7699	465	3	)	)	PUNCT
ap-7699	465	4	in	in	ADP
ap-7699	465	5	the	the	DET
ap-7699	465	6	above	above	ADJ
ap-7699	465	7	expression	expression	NOUN
ap-7699	465	8	,	,	PUNCT
ap-7699	465	9	one	one	NUM
ap-7699	465	10	concentrates	concentrate	VERB
ap-7699	465	11	on	on	ADP
ap-7699	465	12	the	the	DET
ap-7699	465	13	second	second	ADJ
ap-7699	465	14	part	part	NOUN
ap-7699	465	15	which	which	PRON
ap-7699	465	16	contains	contain	VERB
ap-7699	465	17	the	the	DET
ap-7699	465	18	λ	λ	PROPN
ap-7699	465	19	coupling	coupling	NOUN
ap-7699	465	20	.	.	PUNCT
ap-7699	466	1	one	one	NUM
ap-7699	466	2	expands	expand	VERB
ap-7699	466	3	the	the	DET
ap-7699	466	4	logarithm	logarithm	NOUN
ap-7699	466	5	,	,	PUNCT
ap-7699	466	6	as	as	ADP
ap-7699	466	7	in	in	ADP
ap-7699	466	8	(	(	PUNCT
ap-7699	466	9	12	12	NUM
ap-7699	466	10	)	)	PUNCT
ap-7699	466	11	,	,	PUNCT
ap-7699	466	12	in	in	ADP
ap-7699	466	13	the	the	DET
ap-7699	466	14	second	second	ADJ
ap-7699	466	15	trace	trace	NOUN
ap-7699	466	16	to	to	ADP
ap-7699	466	17	the	the	DET
ap-7699	466	18	second	second	ADJ
ap-7699	466	19	order	order	NOUN
ap-7699	466	20	in	in	ADP
ap-7699	466	21	λ	λ	NOUN
ap-7699	466	22	.	.	PUNCT
ap-7699	467	1	this	this	DET
ap-7699	467	2	yields	yield	VERB
ap-7699	467	3	tr	tr	NOUN
ap-7699	467	4	ln	ln	ADJ
ap-7699	467	5	(	(	PUNCT
ap-7699	467	6	1	1	NUM
ap-7699	467	7	+	+	NUM
ap-7699	467	8	λ	λ	X
ap-7699	467	9	2	2	NUM
ap-7699	467	10	ϕ2	ϕ2	ADV
ap-7699	467	11	□	□	NUM
ap-7699	467	12	−1	−1	NOUN
ap-7699	467	13	)	)	PUNCT
ap-7699	467	14	=	=	PUNCT
ap-7699	468	1	tr	tr	VERB
ap-7699	468	2	(	(	PUNCT
ap-7699	468	3	λ	λ	PROPN
ap-7699	468	4	2	2	NUM
ap-7699	468	5	ϕ2	ϕ2	ADV
ap-7699	468	6	□	□	NUM
ap-7699	468	7	−1	−1	NOUN
ap-7699	468	8	)	)	PUNCT
ap-7699	468	9	−	−	PROPN
ap-7699	468	10	1	1	NUM
ap-7699	468	11	2tr	2tr	NOUN
ap-7699	468	12	(	(	PUNCT
ap-7699	468	13	λ	λ	X
ap-7699	468	14	2	2	NUM
ap-7699	468	15	ϕ2	ϕ2	ADV
ap-7699	468	16	□	□	NUM
ap-7699	468	17	−1	−1	NOUN
ap-7699	468	18	)	)	PUNCT
ap-7699	468	19	2	2	NUM
ap-7699	468	20	+	+	CCONJ
ap-7699	468	21	.	.	PUNCT
ap-7699	468	22	.	.	PUNCT
ap-7699	468	23	.	.	PUNCT
ap-7699	469	1	(	(	PUNCT
ap-7699	469	2	26	26	NUM
ap-7699	469	3	)	)	PUNCT
ap-7699	469	4	and	and	CCONJ
ap-7699	469	5	one	one	NUM
ap-7699	469	6	picks	pick	VERB
ap-7699	469	7	up	up	ADP
ap-7699	469	8	from	from	ADP
ap-7699	469	9	it	it	PRON
ap-7699	469	10	only	only	ADV
ap-7699	469	11	the	the	DET
ap-7699	469	12	expression	expression	NOUN
ap-7699	469	13	quadratic	quadratic	NOUN
ap-7699	469	14	in	in	ADP
ap-7699	469	15	λ	λ	PROPN
ap-7699	469	16	and	and	CCONJ
ap-7699	469	17	quartic	quartic	ADJ
ap-7699	469	18	in	in	ADP
ap-7699	469	19	the	the	DET
ap-7699	469	20	background	background	NOUN
ap-7699	469	21	scalar	scalar	ADJ
ap-7699	469	22	field	field	PROPN
ap-7699	469	23	ϕ	ϕ	PROPN
ap-7699	469	24	,	,	PUNCT
ap-7699	469	25	which	which	PRON
ap-7699	469	26	is	be	AUX
ap-7699	469	27	also	also	ADV
ap-7699	469	28	formally	formally	ADV
ap-7699	469	29	quadratic	quadratic	ADJ
ap-7699	469	30	in	in	ADP
ap-7699	469	31	the	the	DET
ap-7699	469	32	inverse	inverse	NOUN
ap-7699	469	33	box	box	NOUN
ap-7699	469	34	operator	operator	NOUN
ap-7699	469	35	□	□	SYM
ap-7699	469	36	−1	−1	NOUN
ap-7699	469	37	,	,	PUNCT
ap-7699	469	38	that	that	PRON
ap-7699	469	39	is	be	AUX
ap-7699	469	40	the	the	DET
ap-7699	469	41	part	part	NOUN
ap-7699	469	42	tr	tr	PUNCT
ap-7699	469	43	ln	ln	PROPN
ap-7699	469	44	h	h	NOUN
ap-7699	469	45	⊃	⊃	NOUN
ap-7699	469	46	−1	−1	NOUN
ap-7699	469	47	2	2	NUM
ap-7699	469	48	λ2	λ2	NOUN
ap-7699	469	49	4	4	NUM
ap-7699	469	50	ϕ4tr	ϕ4tr	NOUN
ap-7699	469	51	□	□	X
ap-7699	469	52	−2	−2	NOUN
ap-7699	469	53	=	=	PUNCT
ap-7699	469	54	−λ2	−λ2	NOUN
ap-7699	469	55	8	8	NUM
ap-7699	469	56	ϕ4tr	ϕ4tr	SYM
ap-7699	469	57	□	□	X
ap-7699	469	58	−2	−2	X
ap-7699	469	59	.	.	PUNCT
ap-7699	470	1	(	(	PUNCT
ap-7699	470	2	27	27	NUM
ap-7699	470	3	)	)	PUNCT
ap-7699	470	4	precisely	precisely	ADV
ap-7699	470	5	this	this	DET
ap-7699	470	6	expression	expression	NOUN
ap-7699	470	7	is	be	AUX
ap-7699	470	8	relevant	relevant	ADJ
ap-7699	470	9	for	for	ADP
ap-7699	470	10	the	the	DET
ap-7699	470	11	uv	uv	PROPN
ap-7699	470	12	divergence	divergence	NOUN
ap-7699	470	13	proportional	proportional	ADJ
ap-7699	470	14	to	to	ADP
ap-7699	470	15	the	the	DET
ap-7699	470	16	quartic	quartic	ADJ
ap-7699	470	17	interaction	interaction	NOUN
ap-7699	470	18	term	term	NOUN
ap-7699	470	19	−	−	PROPN
ap-7699	470	20	λ	λ	NOUN
ap-7699	470	21	4	4	NUM
ap-7699	470	22	!	!	PUNCT
ap-7699	470	23	ϕ	ϕ	NOUN
ap-7699	470	24	4	4	NUM
ap-7699	470	25	in	in	ADP
ap-7699	470	26	the	the	DET
ap-7699	470	27	original	original	ADJ
ap-7699	470	28	scalar	scalar	ADJ
ap-7699	470	29	field	field	NOUN
ap-7699	470	30	action	action	NOUN
ap-7699	470	31	(	(	PUNCT
ap-7699	470	32	23	23	NUM
ap-7699	470	33	)	)	PUNCT
ap-7699	470	34	.	.	PUNCT
ap-7699	471	1	noticing	notice	VERB
ap-7699	471	2	that	that	SCONJ
ap-7699	471	3	the	the	DET
ap-7699	471	4	functional	functional	ADJ
ap-7699	471	5	trace	trace	NOUN
ap-7699	471	6	of	of	ADP
ap-7699	471	7	the	the	DET
ap-7699	471	8	□	□	PUNCT
ap-7699	471	9	−2	−2	NOUN
ap-7699	471	10	scalar	scalar	ADJ
ap-7699	471	11	operator	operator	NOUN
ap-7699	471	12	in	in	ADP
ap-7699	471	13	d	d	NOUN
ap-7699	471	14	=	=	SYM
ap-7699	471	15	4	4	NUM
ap-7699	471	16	is	be	AUX
ap-7699	471	17	given	give	VERB
ap-7699	471	18	by	by	ADP
ap-7699	471	19	tr	tr	VERB
ap-7699	471	20	□	□	X
ap-7699	471	21	−2	−2	NOUN
ap-7699	471	22	=	=	NOUN
ap-7699	471	23	i	i	PROPN
ap-7699	471	24	ln	ln	PROPN
ap-7699	471	25	l2	l2	NOUN
ap-7699	471	26	(	(	PUNCT
ap-7699	471	27	4π)2	4π)2	NUM
ap-7699	471	28	,	,	PUNCT
ap-7699	471	29	(	(	PUNCT
ap-7699	471	30	28	28	NUM
ap-7699	471	31	)	)	PUNCT
ap-7699	471	32	where	where	SCONJ
ap-7699	471	33	l	l	NOUN
ap-7699	471	34	is	be	AUX
ap-7699	471	35	a	a	DET
ap-7699	471	36	dimensionless	dimensionless	ADJ
ap-7699	471	37	uv	uv	NOUN
ap-7699	471	38	-	-	PUNCT
ap-7699	471	39	cutoff	cutoff	NOUN
ap-7699	471	40	parameter	parameter	NOUN
ap-7699	471	41	related	relate	VERB
ap-7699	471	42	to	to	ADP
ap-7699	471	43	the	the	DET
ap-7699	471	44	λuv	λuv	NOUN
ap-7699	471	45	dimensionful	dimensionful	ADJ
ap-7699	471	46	momentum	momentum	NOUN
ap-7699	471	47	uv	uv	NOUN
ap-7699	471	48	-	-	PUNCT
ap-7699	471	49	cutoff	cutoff	NOUN
ap-7699	471	50	and	and	CCONJ
ap-7699	471	51	the	the	DET
ap-7699	471	52	renormalization	renormalization	NOUN
ap-7699	471	53	scale	scale	NOUN
ap-7699	471	54	µ	µ	NOUN
ap-7699	471	55	via	via	ADP
ap-7699	471	56	λuv	λuv	NOUN
ap-7699	471	57	=	=	SYM
ap-7699	471	58	lµ	lµ	PROPN
ap-7699	471	59	,	,	PUNCT
ap-7699	471	60	one	one	PRON
ap-7699	471	61	finds	find	VERB
ap-7699	471	62	for	for	ADP
ap-7699	471	63	the	the	DET
ap-7699	471	64	uv	uv	NOUN
ap-7699	471	65	-	-	PUNCT
ap-7699	471	66	divergent	divergent	ADJ
ap-7699	471	67	and	and	CCONJ
ap-7699	471	68	interesting	interesting	ADJ
ap-7699	471	69	us	we	PRON
ap-7699	471	70	part	part	NOUN
ap-7699	471	71	of	of	ADP
ap-7699	471	72	the	the	DET
ap-7699	471	73	one	one	NUM
ap-7699	471	74	-	-	PUNCT
ap-7699	471	75	loop	loop	NOUN
ap-7699	471	76	effective	effective	ADJ
ap-7699	471	77	action	action	NOUN
ap-7699	471	78	here	here	ADV
ap-7699	471	79	γ(1	γ(1	PROPN
ap-7699	471	80	)	)	PUNCT
ap-7699	471	81	div	div	NOUN
ap-7699	472	1	=	=	PUNCT
ap-7699	472	2	i	i	PRON
ap-7699	472	3	2tr	2tr	NOUN
ap-7699	473	1	ln	ln	PROPN
ap-7699	474	1	h	h	NOUN
ap-7699	475	1	⊃	⊃	PROPN
ap-7699	475	2	∫	∫	PROPN
ap-7699	475	3	d4x	d4x	PROPN
ap-7699	475	4	ln	ln	PROPN
ap-7699	475	5	l2	l2	NOUN
ap-7699	475	6	(	(	PUNCT
ap-7699	475	7	4π)2	4π)2	NUM
ap-7699	475	8	λ2	λ2	NOUN
ap-7699	475	9	16ϕ4	16ϕ4	NUM
ap-7699	475	10	.	.	PUNCT
ap-7699	476	1	(	(	PUNCT
ap-7699	476	2	29	29	NUM
ap-7699	476	3	)	)	PUNCT
ap-7699	476	4	now	now	ADV
ap-7699	476	5	,	,	PUNCT
ap-7699	476	6	one	one	PRON
ap-7699	476	7	can	can	AUX
ap-7699	476	8	compare	compare	VERB
ap-7699	476	9	this	this	PRON
ap-7699	476	10	to	to	ADP
ap-7699	476	11	the	the	DET
ap-7699	476	12	original	original	ADJ
ap-7699	476	13	action	action	NOUN
ap-7699	476	14	terms	term	NOUN
ap-7699	476	15	in	in	ADP
ap-7699	476	16	(	(	PUNCT
ap-7699	476	17	23	23	NUM
ap-7699	476	18	)	)	PUNCT
ap-7699	476	19	describing	describe	VERB
ap-7699	476	20	quartic	quartic	ADJ
ap-7699	476	21	interactions	interaction	NOUN
ap-7699	476	22	of	of	ADP
ap-7699	476	23	the	the	DET
ap-7699	476	24	scalar	scalar	ADJ
ap-7699	476	25	fields	fields	PROPN
ap-7699	476	26	ϕ	ϕ	NOUN
ap-7699	476	27	:	:	PUNCT
ap-7699	476	28	−	−	PROPN
ap-7699	476	29	∫	∫	PROPN
ap-7699	476	30	d4x	d4x	PROPN
ap-7699	476	31	λ	λ	PROPN
ap-7699	476	32	24	24	NUM
ap-7699	476	33	ϕ4	ϕ4	NOUN
ap-7699	476	34	.	.	PUNCT
ap-7699	477	1	the	the	DET
ap-7699	477	2	counterterm	counterterm	NOUN
ap-7699	477	3	action	action	NOUN
ap-7699	477	4	(	(	PUNCT
ap-7699	477	5	to	to	PART
ap-7699	477	6	absorb	absorb	VERB
ap-7699	477	7	uv	uv	NOUN
ap-7699	477	8	divergences	divergence	NOUN
ap-7699	477	9	)	)	PUNCT
ap-7699	477	10	is	be	AUX
ap-7699	477	11	opposite	opposite	ADJ
ap-7699	477	12	to	to	ADP
ap-7699	477	13	γdiv	γdiv	PROPN
ap-7699	477	14	and	and	CCONJ
ap-7699	477	15	the	the	DET
ap-7699	477	16	form	form	NOUN
ap-7699	477	17	of	of	ADP
ap-7699	477	18	the	the	DET
ap-7699	477	19	terms	term	NOUN
ap-7699	477	20	in	in	ADP
ap-7699	477	21	the	the	DET
ap-7699	477	22	counterterm	counterterm	NOUN
ap-7699	477	23	action	action	NOUN
ap-7699	477	24	is	be	AUX
ap-7699	477	25	expressed	express	VERB
ap-7699	477	26	via	via	ADP
ap-7699	477	27	perturbative	perturbative	ADJ
ap-7699	477	28	beta	beta	NOUN
ap-7699	477	29	functions	function	NOUN
ap-7699	477	30	of	of	ADP
ap-7699	477	31	the	the	DET
ap-7699	477	32	theory	theory	NOUN
ap-7699	477	33	.	.	PUNCT
ap-7699	478	1	that	that	PRON
ap-7699	478	2	is	be	AUX
ap-7699	478	3	in	in	ADP
ap-7699	478	4	the	the	DET
ap-7699	478	5	counterterm	counterterm	NOUN
ap-7699	478	6	action	action	NOUN
ap-7699	478	7	γct	γct	INTJ
ap-7699	478	8	we	we	PRON
ap-7699	478	9	expect	expect	VERB
ap-7699	478	10	terms	term	NOUN
ap-7699	478	11	γct	γct	ADP
ap-7699	478	12	=	=	SYM
ap-7699	479	1	−γdiv	−γdiv	NOUN
ap-7699	479	2	=	=	SYM
ap-7699	479	3	−1	−1	NOUN
ap-7699	479	4	2	2	NUM
ap-7699	479	5	ln	ln	NOUN
ap-7699	479	6	l2	l2	NOUN
ap-7699	479	7	24	24	NUM
ap-7699	479	8	∫	∫	NOUN
ap-7699	479	9	d4xβλϕ4	d4xβλϕ4	PROPN
ap-7699	479	10	(	(	PUNCT
ap-7699	479	11	30	30	NUM
ap-7699	479	12	)	)	PUNCT
ap-7699	479	13	with	with	ADP
ap-7699	479	14	the	the	DET
ap-7699	479	15	front	front	ADJ
ap-7699	479	16	coefficient	coefficient	NOUN
ap-7699	479	17	exactly	exactly	ADV
ap-7699	479	18	identical	identical	ADJ
ap-7699	479	19	to	to	ADP
ap-7699	479	20	the	the	DET
ap-7699	479	21	one	one	NUM
ap-7699	479	22	half	half	NOUN
ap-7699	479	23	of	of	ADP
ap-7699	479	24	the	the	DET
ap-7699	479	25	one	one	NUM
ap-7699	479	26	in	in	ADP
ap-7699	479	27	front	front	NOUN
ap-7699	479	28	of	of	ADP
ap-7699	479	29	the	the	DET
ap-7699	479	30	quartic	quartic	ADJ
ap-7699	479	31	interactions	interaction	NOUN
ap-7699	479	32	in	in	ADP
ap-7699	479	33	the	the	DET
ap-7699	479	34	original	original	ADJ
ap-7699	479	35	action	action	NOUN
ap-7699	479	36	in	in	ADP
ap-7699	479	37	(	(	PUNCT
ap-7699	479	38	23	23	NUM
ap-7699	479	39	)	)	PUNCT
ap-7699	479	40	(	(	PUNCT
ap-7699	479	41	being	be	AUX
ap-7699	479	42	equal	equal	ADJ
ap-7699	479	43	to	to	ADP
ap-7699	479	44	−	−	PROPN
ap-7699	479	45	1	1	NUM
ap-7699	479	46	4	4	NUM
ap-7699	479	47	!	!	PUNCT
ap-7699	479	48	=	=	PRON
ap-7699	480	1	−	−	PROPN
ap-7699	480	2	1	1	NUM
ap-7699	480	3	24	24	NUM
ap-7699	480	4	)	)	PUNCT
ap-7699	480	5	.	.	PUNCT
ap-7699	481	1	from	from	ADP
ap-7699	481	2	this	this	DET
ap-7699	481	3	one	one	NOUN
ap-7699	481	4	reads	read	VERB
ap-7699	481	5	that	that	SCONJ
ap-7699	481	6	(	(	PUNCT
ap-7699	481	7	identifying	identify	VERB
ap-7699	481	8	that	that	SCONJ
ap-7699	481	9	effectively	effectively	ADV
ap-7699	481	10	ln	ln	ADJ
ap-7699	481	11	l2	l2	NOUN
ap-7699	481	12	→	→	SYM
ap-7699	481	13	1	1	NUM
ap-7699	481	14	for	for	ADP
ap-7699	481	15	comparison	comparison	NOUN
ap-7699	481	16	)	)	PUNCT
ap-7699	481	17	−	−	PROPN
ap-7699	481	18	1	1	NUM
ap-7699	481	19	48βλ	48βλ	NOUN
ap-7699	481	20	=	=	SYM
ap-7699	481	21	−	−	NOUN
ap-7699	481	22	λ2	λ2	NOUN
ap-7699	481	23	16(4π)2	16(4π)2	NUM
ap-7699	481	24	(	(	PUNCT
ap-7699	481	25	31	31	NUM
ap-7699	481	26	)	)	PUNCT
ap-7699	481	27	and	and	CCONJ
ap-7699	481	28	finally	finally	ADV
ap-7699	481	29	that	that	SCONJ
ap-7699	481	30	βλ	βλ	ADV
ap-7699	482	1	=	=	SYM
ap-7699	482	2	3λ2	3λ2	NUM
ap-7699	482	3	(	(	PUNCT
ap-7699	482	4	4π)2	4π)2	NUM
ap-7699	482	5	,	,	PUNCT
ap-7699	482	6	(	(	PUNCT
ap-7699	482	7	32	32	NUM
ap-7699	482	8	)	)	PUNCT
ap-7699	482	9	which	which	PRON
ap-7699	482	10	is	be	AUX
ap-7699	482	11	a	a	DET
ap-7699	482	12	standard	standard	ADJ
ap-7699	482	13	result	result	NOUN
ap-7699	482	14	for	for	ADP
ap-7699	482	15	the	the	DET
ap-7699	482	16	one	one	NUM
ap-7699	482	17	-	-	PUNCT
ap-7699	482	18	loop	loop	NOUN
ap-7699	482	19	beta	beta	NOUN
ap-7699	482	20	function	function	NOUN
ap-7699	482	21	of	of	ADP
ap-7699	482	22	the	the	DET
ap-7699	482	23	quartic	quartic	ADJ
ap-7699	482	24	coupling	couple	VERB
ap-7699	482	25	λ	λ	NOUN
ap-7699	482	26	in	in	ADP
ap-7699	482	27	1	1	NUM
ap-7699	482	28	4	4	NUM
ap-7699	482	29	!	!	PUNCT
ap-7699	482	30	λϕ4	λϕ4	VERB
ap-7699	482	31	scalar	scalar	ADJ
ap-7699	482	32	theory	theory	NOUN
ap-7699	482	33	in	in	ADP
ap-7699	482	34	d	d	PROPN
ap-7699	482	35	=	=	SYM
ap-7699	482	36	4	4	NUM
ap-7699	482	37	spacetime	spacetime	NOUN
ap-7699	482	38	dimensions	dimension	NOUN
ap-7699	482	39	.	.	PUNCT
ap-7699	483	1	one	one	NUM
ap-7699	483	2	sees	see	VERB
ap-7699	483	3	that	that	SCONJ
ap-7699	483	4	even	even	ADV
ap-7699	483	5	in	in	ADP
ap-7699	483	6	the	the	DET
ap-7699	483	7	simplest	simple	ADJ
ap-7699	483	8	framework	framework	NOUN
ap-7699	483	9	,	,	PUNCT
ap-7699	483	10	the	the	DET
ap-7699	483	11	details	detail	NOUN
ap-7699	483	12	of	of	ADP
ap-7699	483	13	such	such	DET
ap-7699	483	14	a	a	DET
ap-7699	483	15	computation	computation	NOUN
ap-7699	483	16	are	be	AUX
ap-7699	483	17	quite	quite	ADV
ap-7699	483	18	cumbersome	cumbersome	ADJ
ap-7699	483	19	,	,	PUNCT
ap-7699	483	20	and	and	CCONJ
ap-7699	483	21	we	we	PRON
ap-7699	483	22	decide	decide	VERB
ap-7699	483	23	not	not	PART
ap-7699	483	24	to	to	PART
ap-7699	483	25	include	include	VERB
ap-7699	483	26	in	in	ADP
ap-7699	483	27	this	this	DET
ap-7699	483	28	manuscript	manuscript	NOUN
ap-7699	483	29	other	other	ADJ
ap-7699	483	30	more	more	ADV
ap-7699	483	31	sophisticated	sophisticated	ADJ
ap-7699	483	32	illustrative	illustrative	ADJ
ap-7699	483	33	examples	example	NOUN
ap-7699	483	34	of	of	ADP
ap-7699	483	35	such	such	ADJ
ap-7699	483	36	derivation	derivation	NOUN
ap-7699	483	37	of	of	ADP
ap-7699	483	38	the	the	DET
ap-7699	483	39	explicit	explicit	ADJ
ap-7699	483	40	results	result	NOUN
ap-7699	483	41	for	for	ADP
ap-7699	483	42	beta	beta	NOUN
ap-7699	483	43	functions	function	NOUN
ap-7699	483	44	of	of	ADP
ap-7699	483	45	the	the	DET
ap-7699	483	46	theory	theory	NOUN
ap-7699	483	47	.	.	PUNCT
ap-7699	484	1	the	the	DET
ap-7699	484	2	reader	reader	NOUN
ap-7699	484	3	,	,	PUNCT
ap-7699	484	4	who	who	PRON
ap-7699	484	5	wants	want	VERB
ap-7699	484	6	to	to	PART
ap-7699	484	7	see	see	VERB
ap-7699	484	8	some	some	DET
ap-7699	484	9	samples	sample	NOUN
ap-7699	484	10	can	can	AUX
ap-7699	484	11	consult	consult	VERB
ap-7699	484	12	more	more	ADV
ap-7699	484	13	explicit	explicit	ADJ
ap-7699	484	14	similar	similar	ADJ
ap-7699	484	15	calculations	calculation	NOUN
ap-7699	484	16	as	as	SCONJ
ap-7699	484	17	presented	present	VERB
ap-7699	484	18	in	in	ADP
ap-7699	484	19	references	reference	NOUN
ap-7699	484	20	[	[	X
ap-7699	484	21	26	26	NUM
ap-7699	484	22	,	,	PUNCT
ap-7699	484	23	30	30	NUM
ap-7699	484	24	,	,	PUNCT
ap-7699	484	25	44	44	NUM
ap-7699	484	26	]	]	PUNCT
ap-7699	484	27	.	.	PUNCT
ap-7699	485	1	in	in	ADP
ap-7699	485	2	particular	particular	ADJ
ap-7699	485	3	,	,	PUNCT
ap-7699	485	4	the	the	DET
ap-7699	485	5	appendix	appendix	NOUN
ap-7699	485	6	of	of	ADP
ap-7699	485	7	[	[	X
ap-7699	485	8	30	30	NUM
ap-7699	485	9	]	]	PUNCT
ap-7699	485	10	compares	compare	VERB
ap-7699	485	11	two	two	NUM
ap-7699	485	12	approaches	approach	NOUN
ap-7699	485	13	to	to	ADP
ap-7699	485	14	the	the	DET
ap-7699	485	15	computation	computation	NOUN
ap-7699	485	16	of	of	ADP
ap-7699	485	17	uv	uv	NOUN
ap-7699	485	18	divergences	divergence	NOUN
ap-7699	485	19	in	in	ADP
ap-7699	485	20	gauge	gauge	NOUN
ap-7699	485	21	theory	theory	NOUN
ap-7699	485	22	(	(	PUNCT
ap-7699	485	23	simpler	simple	ADJ
ap-7699	485	24	than	than	ADP
ap-7699	485	25	gravity	gravity	NOUN
ap-7699	485	26	131	131	NUM
ap-7699	486	1	lesław	lesław	PROPN
ap-7699	486	2	rachwał	rachwał	PROPN
ap-7699	486	3	acta	acta	PROPN
ap-7699	486	4	polytechnica	polytechnica	PROPN
ap-7699	486	5	but	but	CCONJ
ap-7699	486	6	with	with	ADP
ap-7699	486	7	non	non	ADJ
ap-7699	486	8	-	-	ADJ
ap-7699	486	9	abelian	abelian	ADJ
ap-7699	486	10	gauge	gauge	NOUN
ap-7699	486	11	symmetry	symmetry	NOUN
ap-7699	486	12	)	)	PUNCT
ap-7699	486	13	–	–	PUNCT
ap-7699	486	14	using	use	VERB
ap-7699	486	15	bv	bv	PROPN
ap-7699	486	16	heat	heat	NOUN
ap-7699	486	17	kernel	kernel	NOUN
ap-7699	486	18	technique	technique	NOUN
ap-7699	486	19	and	and	CCONJ
ap-7699	486	20	using	use	VERB
ap-7699	486	21	standard	standard	ADJ
ap-7699	486	22	feynman	feynman	PROPN
ap-7699	486	23	diagram	diagram	PROPN
ap-7699	486	24	computation	computation	NOUN
ap-7699	486	25	using	use	VERB
ap-7699	486	26	graphs	graph	NOUN
ap-7699	486	27	and	and	CCONJ
ap-7699	486	28	feynman	feynman	PROPN
ap-7699	486	29	rules	rule	NOUN
ap-7699	486	30	around	around	ADP
ap-7699	486	31	flat	flat	ADJ
ap-7699	486	32	space	space	NOUN
ap-7699	486	33	and	and	CCONJ
ap-7699	486	34	in	in	ADP
ap-7699	486	35	fourier	fourier	ADJ
ap-7699	486	36	momentum	momentum	NOUN
ap-7699	486	37	space	space	NOUN
ap-7699	486	38	.	.	PUNCT
ap-7699	487	1	2.2	2.2	NUM
ap-7699	487	2	.	.	PUNCT
ap-7699	487	3	results	result	NOUN
ap-7699	487	4	in	in	ADP
ap-7699	487	5	six	six	NUM
ap-7699	487	6	-	-	PUNCT
ap-7699	487	7	derivative	derivative	NOUN
ap-7699	487	8	gravity	gravity	NOUN
ap-7699	487	9	the	the	DET
ap-7699	487	10	final	final	ADJ
ap-7699	487	11	results	result	NOUN
ap-7699	487	12	for	for	ADP
ap-7699	487	13	this	this	DET
ap-7699	487	14	computation	computation	NOUN
ap-7699	487	15	of	of	ADP
ap-7699	487	16	all	all	DET
ap-7699	487	17	uv	uv	NOUN
ap-7699	487	18	divergences	divergence	NOUN
ap-7699	487	19	of	of	ADP
ap-7699	487	20	the	the	DET
ap-7699	487	21	six	six	NUM
ap-7699	487	22	-	-	PUNCT
ap-7699	487	23	derivative	derivative	ADJ
ap-7699	487	24	gravitational	gravitational	ADJ
ap-7699	487	25	theory	theory	NOUN
ap-7699	487	26	are	be	AUX
ap-7699	487	27	γ(1)r	γ(1)r	VERB
ap-7699	487	28	,	,	PUNCT
ap-7699	487	29	c	c	X
ap-7699	487	30	div	div	X
ap-7699	487	31	=	=	SYM
ap-7699	487	32	−	−	PROPN
ap-7699	487	33	ln	ln	ADJ
ap-7699	487	34	l2	l2	NOUN
ap-7699	487	35	2(4π)2	2(4π)2	PROPN
ap-7699	487	36	∫	∫	PROPN
ap-7699	487	37	d4x	d4x	PROPN
ap-7699	487	38	√	√	PROPN
ap-7699	487	39	|g|	|g|	PROPN
ap-7699	487	40	{	{	PUNCT
ap-7699	487	41	(	(	PUNCT
ap-7699	487	42	397	397	NUM
ap-7699	487	43	40	40	NUM
ap-7699	488	1	+	+	NUM
ap-7699	488	2	2x	2x	NUM
ap-7699	488	3	9	9	X
ap-7699	488	4	)	)	PUNCT
ap-7699	488	5	c2	c2	PROPN
ap-7699	488	6	+1387	+1387	NUM
ap-7699	488	7	180	180	NUM
ap-7699	488	8	gb	gb	ADP
ap-7699	488	9	−	−	PROPN
ap-7699	488	10	7	7	NUM
ap-7699	488	11	36r2	36r2	NUM
ap-7699	488	12	}	}	PUNCT
ap-7699	488	13	(	(	PUNCT
ap-7699	488	14	33	33	NUM
ap-7699	488	15	)	)	PUNCT
ap-7699	488	16	for	for	ADP
ap-7699	488	17	the	the	DET
ap-7699	488	18	case	case	NOUN
ap-7699	488	19	of	of	ADP
ap-7699	488	20	six	six	NUM
ap-7699	488	21	-	-	PUNCT
ap-7699	488	22	derivative	derivative	ADJ
ap-7699	488	23	pure	pure	ADJ
ap-7699	488	24	qg	qg	PROPN
ap-7699	488	25	model	model	NOUN
ap-7699	488	26	in	in	ADP
ap-7699	488	27	d	d	PROPN
ap-7699	488	28	=	=	SYM
ap-7699	488	29	4	4	NUM
ap-7699	488	30	spacetime	spacetime	NOUN
ap-7699	488	31	dimensions	dimension	NOUN
ap-7699	488	32	and	and	CCONJ
ap-7699	488	33	γ(1)r	γ(1)r	NOUN
ap-7699	488	34	,	,	PUNCT
ap-7699	488	35	c	c	X
ap-7699	488	36	div	div	X
ap-7699	488	37	=	=	SYM
ap-7699	488	38	−	−	PROPN
ap-7699	488	39	ln	ln	ADJ
ap-7699	488	40	l2	l2	NOUN
ap-7699	488	41	2(4π)2	2(4π)2	PROPN
ap-7699	488	42	∫	∫	PROPN
ap-7699	488	43	d4x	d4x	PROPN
ap-7699	488	44	√	√	PROPN
ap-7699	488	45	|g|	|g|	PROPN
ap-7699	488	46	{	{	PUNCT
ap-7699	488	47	−133	−133	PROPN
ap-7699	488	48	20	20	NUM
ap-7699	488	49	c2	c2	PROPN
ap-7699	488	50	+196	+196	PROPN
ap-7699	488	51	45	45	NUM
ap-7699	489	1	gb	gb	ADP
ap-7699	489	2	+	+	CCONJ
ap-7699	489	3	(	(	PUNCT
ap-7699	489	4	−5	−5	ADV
ap-7699	489	5	2x−2	2x−2	NUM
ap-7699	489	6	4−der	4−der	NOUN
ap-7699	489	7	+	+	CCONJ
ap-7699	489	8	5	5	NUM
ap-7699	489	9	2x−1	2x−1	NUM
ap-7699	489	10	4−der	4−der	NOUN
ap-7699	489	11	−	−	PROPN
ap-7699	489	12	5	5	NUM
ap-7699	489	13	36	36	NUM
ap-7699	489	14	)	)	PUNCT
ap-7699	489	15	r2	r2	PROPN
ap-7699	489	16	}	}	PUNCT
ap-7699	489	17	(	(	PUNCT
ap-7699	489	18	34	34	NUM
ap-7699	489	19	)	)	PUNCT
ap-7699	489	20	for	for	ADP
ap-7699	489	21	the	the	DET
ap-7699	489	22	case	case	NOUN
ap-7699	489	23	of	of	ADP
ap-7699	489	24	four	four	NUM
ap-7699	489	25	-	-	PUNCT
ap-7699	489	26	derivative	derivative	ADJ
ap-7699	489	27	pure	pure	ADJ
ap-7699	489	28	stelle	stelle	X
ap-7699	489	29	quadratic	quadratic	ADJ
ap-7699	489	30	model	model	NOUN
ap-7699	489	31	of	of	ADP
ap-7699	489	32	qg	qg	PROPN
ap-7699	489	33	to	to	ADP
ap-7699	489	34	the	the	DET
ap-7699	489	35	one	one	NUM
ap-7699	489	36	-	-	PUNCT
ap-7699	489	37	loop	loop	NOUN
ap-7699	489	38	accuracy	accuracy	NOUN
ap-7699	489	39	.	.	PUNCT
ap-7699	490	1	this	this	DET
ap-7699	490	2	last	last	ADJ
ap-7699	490	3	result	result	NOUN
ap-7699	490	4	was	be	AUX
ap-7699	490	5	first	first	ADV
ap-7699	490	6	reported	report	VERB
ap-7699	490	7	in	in	ADP
ap-7699	490	8	[	[	X
ap-7699	490	9	42	42	NUM
ap-7699	490	10	]	]	PUNCT
ap-7699	490	11	.	.	PUNCT
ap-7699	491	1	the	the	DET
ap-7699	491	2	result	result	NOUN
ap-7699	491	3	in	in	ADP
ap-7699	491	4	six	six	NUM
ap-7699	491	5	-	-	PUNCT
ap-7699	491	6	derivative	derivative	ADJ
ap-7699	491	7	gravity	gravity	NOUN
ap-7699	491	8	is	be	AUX
ap-7699	491	9	freshly	freshly	ADV
ap-7699	491	10	new	new	ADJ
ap-7699	491	11	[	[	X
ap-7699	491	12	26	26	NUM
ap-7699	491	13	]	]	PUNCT
ap-7699	491	14	.	.	PUNCT
ap-7699	492	1	here	here	ADV
ap-7699	492	2	we	we	PRON
ap-7699	492	3	define	define	VERB
ap-7699	492	4	the	the	DET
ap-7699	492	5	covariant	covariant	ADJ
ap-7699	492	6	cut	cut	VERB
ap-7699	492	7	-	-	PUNCT
ap-7699	492	8	off	off	ADP
ap-7699	492	9	regulator	regulator	NOUN
ap-7699	492	10	l	l	NOUN
ap-7699	493	1	[	[	X
ap-7699	493	2	27	27	NUM
ap-7699	493	3	]	]	PUNCT
ap-7699	493	4	,	,	PUNCT
ap-7699	493	5	which	which	PRON
ap-7699	493	6	stays	stay	VERB
ap-7699	493	7	in	in	ADP
ap-7699	493	8	the	the	DET
ap-7699	493	9	following	follow	VERB
ap-7699	493	10	relations	relation	NOUN
ap-7699	493	11	to	to	ADP
ap-7699	493	12	the	the	DET
ap-7699	493	13	dimensional	dimensional	ADJ
ap-7699	493	14	regularization	regularization	NOUN
ap-7699	493	15	parameter	parameter	NOUN
ap-7699	493	16	ϵ	ϵ	X
ap-7699	494	1	[	[	X
ap-7699	494	2	27	27	NUM
ap-7699	494	3	,	,	PUNCT
ap-7699	494	4	43	43	NUM
ap-7699	494	5	]	]	PUNCT
ap-7699	494	6	,	,	PUNCT
ap-7699	494	7	ln	ln	ADJ
ap-7699	494	8	l2	l2	NOUN
ap-7699	494	9	≡	≡	PROPN
ap-7699	494	10	ln	ln	PROPN
ap-7699	494	11	λ2	λ2	PROPN
ap-7699	494	12	uv	uv	NOUN
ap-7699	494	13	µ2	µ2	NOUN
ap-7699	494	14	=	=	NOUN
ap-7699	494	15	1	1	NUM
ap-7699	494	16	ϵ	ϵ	NOUN
ap-7699	494	17	=	=	SYM
ap-7699	494	18	1	1	NUM
ap-7699	494	19	2	2	NUM
ap-7699	494	20	−	−	PROPN
ap-7699	494	21	ω	ω	NOUN
ap-7699	494	22	=	=	SYM
ap-7699	494	23	2	2	NUM
ap-7699	494	24	4	4	NUM
ap-7699	494	25	−	−	NOUN
ap-7699	494	26	n	n	NOUN
ap-7699	494	27	,	,	PUNCT
ap-7699	494	28	(	(	PUNCT
ap-7699	494	29	35	35	NUM
ap-7699	494	30	)	)	PUNCT
ap-7699	494	31	where	where	SCONJ
ap-7699	494	32	we	we	PRON
ap-7699	494	33	denoted	denote	VERB
ap-7699	494	34	by	by	ADP
ap-7699	494	35	n	n	PRON
ap-7699	494	36	the	the	DET
ap-7699	494	37	generalized	generalized	ADJ
ap-7699	494	38	dimensionality	dimensionality	NOUN
ap-7699	494	39	of	of	ADP
ap-7699	494	40	spacetime	spacetime	NOUN
ap-7699	494	41	in	in	ADP
ap-7699	494	42	the	the	DET
ap-7699	494	43	dimreg	dimreg	NOUN
ap-7699	494	44	scheme	scheme	NOUN
ap-7699	494	45	of	of	ADP
ap-7699	494	46	regularization	regularization	NOUN
ap-7699	494	47	(	(	PUNCT
ap-7699	494	48	additionally	additionally	ADV
ap-7699	494	49	λuv	λuv	VERB
ap-7699	494	50	is	be	AUX
ap-7699	494	51	the	the	DET
ap-7699	494	52	dimensionful	dimensionful	ADJ
ap-7699	494	53	uv	uv	NOUN
ap-7699	494	54	cutoff	cutoff	NOUN
ap-7699	494	55	energy	energy	NOUN
ap-7699	494	56	parameter	parameter	NOUN
ap-7699	494	57	and	and	CCONJ
ap-7699	494	58	µ	µ	NOUN
ap-7699	494	59	is	be	AUX
ap-7699	494	60	the	the	DET
ap-7699	494	61	quantum	quantum	ADJ
ap-7699	494	62	renormalization	renormalization	NOUN
ap-7699	494	63	scale	scale	NOUN
ap-7699	494	64	)	)	PUNCT
ap-7699	494	65	.	.	PUNCT
ap-7699	495	1	moreover	moreover	ADV
ap-7699	495	2	,	,	PUNCT
ap-7699	495	3	to	to	PART
ap-7699	495	4	write	write	VERB
ap-7699	495	5	compactly	compactly	ADV
ap-7699	495	6	our	our	PRON
ap-7699	495	7	finite	finite	ADJ
ap-7699	495	8	results	result	NOUN
ap-7699	495	9	for	for	ADP
ap-7699	495	10	the	the	DET
ap-7699	495	11	six	six	NUM
ap-7699	495	12	-	-	PUNCT
ap-7699	495	13	derivative	derivative	ADJ
ap-7699	495	14	theory	theory	NOUN
ap-7699	495	15	we	we	PRON
ap-7699	495	16	used	use	VERB
ap-7699	495	17	the	the	DET
ap-7699	495	18	definition	definition	NOUN
ap-7699	495	19	of	of	ADP
ap-7699	495	20	the	the	DET
ap-7699	495	21	fundamental	fundamental	ADJ
ap-7699	495	22	ratio	ratio	NOUN
ap-7699	495	23	of	of	ADP
ap-7699	495	24	the	the	DET
ap-7699	495	25	theory	theory	NOUN
ap-7699	495	26	x	x	PUNCT
ap-7699	495	27	as	as	ADP
ap-7699	495	28	x	x	X
ap-7699	495	29	=	=	X
ap-7699	495	30	ωc	ωc	X
ap-7699	495	31	ωr	ωr	INTJ
ap-7699	495	32	,	,	PUNCT
ap-7699	495	33	(	(	PUNCT
ap-7699	495	34	36	36	NUM
ap-7699	495	35	)	)	PUNCT
ap-7699	495	36	while	while	SCONJ
ap-7699	495	37	for	for	ADP
ap-7699	495	38	stelle	stelle	PROPN
ap-7699	495	39	four	four	NUM
ap-7699	495	40	-	-	PUNCT
ap-7699	495	41	derivative	derivative	ADJ
ap-7699	495	42	theory	theory	NOUN
ap-7699	495	43	in	in	ADP
ap-7699	495	44	(	(	PUNCT
ap-7699	495	45	34	34	NUM
ap-7699	495	46	)	)	PUNCT
ap-7699	495	47	we	we	PRON
ap-7699	495	48	use	use	VERB
ap-7699	495	49	analogously	analogously	ADV
ap-7699	495	50	but	but	CCONJ
ap-7699	495	51	now	now	ADV
ap-7699	495	52	with	with	ADP
ap-7699	495	53	the	the	DET
ap-7699	495	54	theta	theta	NOUN
ap-7699	495	55	couplings	coupling	NOUN
ap-7699	495	56	instead	instead	ADV
ap-7699	495	57	of	of	ADP
ap-7699	495	58	omegas	omega	NOUN
ap-7699	495	59	,	,	PUNCT
ap-7699	495	60	namely	namely	ADV
ap-7699	495	61	x4−der	x4−der	PUNCT
ap-7699	496	1	=	=	PUNCT
ap-7699	496	2	θc	θc	NOUN
ap-7699	496	3	θr	θr	NOUN
ap-7699	496	4	.	.	PUNCT
ap-7699	497	1	(	(	PUNCT
ap-7699	497	2	37	37	NUM
ap-7699	497	3	)	)	PUNCT
ap-7699	497	4	it	it	PRON
ap-7699	497	5	is	be	AUX
ap-7699	497	6	worth	worth	ADJ
ap-7699	497	7	to	to	PART
ap-7699	497	8	describe	describe	VERB
ap-7699	497	9	briefly	briefly	ADV
ap-7699	497	10	here	here	ADV
ap-7699	497	11	also	also	ADV
ap-7699	497	12	the	the	DET
ap-7699	497	13	passage	passage	NOUN
ap-7699	497	14	from	from	ADP
ap-7699	497	15	uv	uv	NOUN
ap-7699	497	16	divergences	divergence	NOUN
ap-7699	497	17	of	of	ADP
ap-7699	497	18	the	the	DET
ap-7699	497	19	theory	theory	NOUN
ap-7699	497	20	at	at	ADP
ap-7699	497	21	the	the	DET
ap-7699	497	22	one	one	NUM
ap-7699	497	23	-	-	PUNCT
ap-7699	497	24	loop	loop	NOUN
ap-7699	497	25	level	level	NOUN
ap-7699	497	26	to	to	ADP
ap-7699	497	27	the	the	DET
ap-7699	497	28	perturbative	perturbative	ADJ
ap-7699	497	29	one	one	NUM
ap-7699	497	30	-	-	PUNCT
ap-7699	497	31	loop	loop	NOUN
ap-7699	497	32	beta	beta	NOUN
ap-7699	497	33	functions	function	NOUN
ap-7699	497	34	of	of	ADP
ap-7699	497	35	relevant	relevant	ADJ
ap-7699	497	36	dimensionless	dimensionless	NOUN
ap-7699	497	37	couplings	coupling	NOUN
ap-7699	497	38	.	.	PUNCT
ap-7699	498	1	using	use	VERB
ap-7699	498	2	the	the	DET
ap-7699	498	3	divergent	divergent	ADJ
ap-7699	498	4	contribution	contribution	NOUN
ap-7699	498	5	to	to	ADP
ap-7699	498	6	the	the	DET
ap-7699	498	7	quantum	quantum	ADJ
ap-7699	498	8	effective	effective	ADJ
ap-7699	498	9	action	action	NOUN
ap-7699	498	10	,	,	PUNCT
ap-7699	498	11	derived	derive	VERB
ap-7699	498	12	previously	previously	ADV
ap-7699	498	13	,	,	PUNCT
ap-7699	498	14	we	we	PRON
ap-7699	498	15	can	can	AUX
ap-7699	498	16	define	define	VERB
ap-7699	498	17	the	the	DET
ap-7699	498	18	beta	beta	NOUN
ap-7699	498	19	functions	function	NOUN
ap-7699	498	20	of	of	ADP
ap-7699	498	21	the	the	DET
ap-7699	498	22	theory	theory	NOUN
ap-7699	498	23	.	.	PUNCT
ap-7699	499	1	let	let	VERB
ap-7699	499	2	us	we	PRON
ap-7699	499	3	first	first	ADV
ap-7699	499	4	fix	fix	VERB
ap-7699	499	5	some	some	DET
ap-7699	499	6	definitions	definition	NOUN
ap-7699	499	7	.	.	PUNCT
ap-7699	500	1	the	the	DET
ap-7699	500	2	renormalized	renormalize	VERB
ap-7699	500	3	lagrangian	lagrangian	ADJ
ap-7699	500	4	lren	lren	NOUN
ap-7699	500	5	is	be	AUX
ap-7699	500	6	obtained	obtain	VERB
ap-7699	500	7	starting	start	VERB
ap-7699	500	8	from	from	ADP
ap-7699	500	9	the	the	DET
ap-7699	500	10	classical	classical	ADJ
ap-7699	500	11	lagrangian	lagrangian	NOUN
ap-7699	500	12	written	write	VERB
ap-7699	500	13	in	in	ADP
ap-7699	500	14	terms	term	NOUN
ap-7699	500	15	of	of	ADP
ap-7699	500	16	the	the	DET
ap-7699	500	17	renormalized	renormalize	VERB
ap-7699	500	18	coupling	coupling	NOUN
ap-7699	500	19	constants	constant	NOUN
ap-7699	500	20	and	and	CCONJ
ap-7699	500	21	then	then	ADV
ap-7699	500	22	adding	add	VERB
ap-7699	500	23	the	the	DET
ap-7699	500	24	counterterms	counterterm	NOUN
ap-7699	500	25	to	to	PART
ap-7699	500	26	subtract	subtract	VERB
ap-7699	500	27	the	the	DET
ap-7699	500	28	divergences	divergence	NOUN
ap-7699	500	29	,	,	PUNCT
ap-7699	500	30	lren	lren	NOUN
ap-7699	500	31	=	=	SYM
ap-7699	500	32	l(αb(t	l(αb(t	PROPN
ap-7699	500	33	)	)	PUNCT
ap-7699	500	34	)	)	PUNCT
ap-7699	501	1	=	=	SYM
ap-7699	501	2	l	l	NOUN
ap-7699	501	3	(	(	PUNCT
ap-7699	501	4	zαi(t)αi(t	zαi(t)αi(t	NUM
ap-7699	501	5	)	)	PUNCT
ap-7699	501	6	)	)	PUNCT
ap-7699	502	1	=	=	NOUN
ap-7699	503	1	l(αi(t))+lct	l(αi(t))+lct	ADJ
ap-7699	503	2	=	=	PUNCT
ap-7699	503	3	l(αi(t	l(αi(t	PROPN
ap-7699	503	4	)	)	PUNCT
ap-7699	503	5	)	)	PUNCT
ap-7699	504	1	+	+	CCONJ
ap-7699	504	2	(	(	PUNCT
ap-7699	504	3	zc	zc	INTJ
ap-7699	504	4	−	−	PROPN
ap-7699	504	5	1	1	NUM
ap-7699	504	6	)	)	PUNCT
ap-7699	504	7	θc(t	θc(t	NOUN
ap-7699	504	8	)	)	PUNCT
ap-7699	504	9	c2	c2	PROPN
ap-7699	504	10	+	+	CCONJ
ap-7699	504	11	(	(	PUNCT
ap-7699	504	12	zr	zr	INTJ
ap-7699	504	13	−	−	NOUN
ap-7699	504	14	1	1	NUM
ap-7699	504	15	)	)	PUNCT
ap-7699	504	16	θr(t	θr(t	NOUN
ap-7699	504	17	)	)	PUNCT
ap-7699	504	18	r2	r2	NOUN
ap-7699	504	19	+	+	CCONJ
ap-7699	504	20	(	(	PUNCT
ap-7699	504	21	zgb	zgb	NOUN
ap-7699	504	22	−	−	NOUN
ap-7699	504	23	1	1	X
ap-7699	504	24	)	)	PUNCT
ap-7699	504	25	θgb(t	θgb(t	PROPN
ap-7699	504	26	)	)	PUNCT
ap-7699	504	27	gb	gb	PROPN
ap-7699	504	28	,	,	PUNCT
ap-7699	504	29	(	(	PUNCT
ap-7699	504	30	38	38	NUM
ap-7699	504	31	)	)	PUNCT
ap-7699	504	32	where	where	SCONJ
ap-7699	504	33	we	we	PRON
ap-7699	504	34	have	have	VERB
ap-7699	504	35	that	that	PRON
ap-7699	504	36	lct	lct	PROPN
ap-7699	504	37	=	=	PUNCT
ap-7699	504	38	−ldiv	−ldiv	NOUN
ap-7699	504	39	and	and	CCONJ
ap-7699	504	40	αi(t	αi(t	NOUN
ap-7699	504	41	)	)	PUNCT
ap-7699	504	42	=	=	PRON
ap-7699	504	43	{	{	PUNCT
ap-7699	504	44	θc(t	θc(t	NOUN
ap-7699	504	45	)	)	PUNCT
ap-7699	504	46	,	,	PUNCT
ap-7699	504	47	θr(t	θr(t	NOUN
ap-7699	504	48	)	)	PUNCT
ap-7699	504	49	,	,	PUNCT
ap-7699	504	50	θgb(t	θgb(t	PROPN
ap-7699	504	51	)	)	PUNCT
ap-7699	504	52	}	}	PUNCT
ap-7699	504	53	.	.	PUNCT
ap-7699	505	1	above	above	ADP
ap-7699	505	2	we	we	PRON
ap-7699	505	3	denoted	denote	VERB
ap-7699	505	4	by	by	ADP
ap-7699	505	5	αb(t	αb(t	NOUN
ap-7699	505	6	)	)	PUNCT
ap-7699	505	7	the	the	DET
ap-7699	505	8	rg	rg	PROPN
ap-7699	505	9	running	run	VERB
ap-7699	505	10	bare	bare	ADJ
ap-7699	505	11	values	value	NOUN
ap-7699	505	12	of	of	ADP
ap-7699	505	13	coupling	couple	VERB
ap-7699	505	14	parameters	parameter	NOUN
ap-7699	505	15	,	,	PUNCT
ap-7699	505	16	by	by	ADP
ap-7699	505	17	lct	lct	PROPN
ap-7699	505	18	and	and	CCONJ
ap-7699	505	19	ldiv	ldiv	VERB
ap-7699	505	20	the	the	DET
ap-7699	505	21	counterterm	counterterm	NOUN
ap-7699	505	22	and	and	CCONJ
ap-7699	505	23	divergent	divergent	ADJ
ap-7699	505	24	lagrangians	lagrangian	NOUN
ap-7699	505	25	respectively	respectively	ADV
ap-7699	505	26	,	,	PUNCT
ap-7699	505	27	by	by	ADP
ap-7699	505	28	zαi	zαi	PROPN
ap-7699	505	29	(	(	PUNCT
ap-7699	505	30	t	t	NOUN
ap-7699	505	31	)	)	PUNCT
ap-7699	505	32	renormalization	renormalization	NOUN
ap-7699	505	33	constants	constant	NOUN
ap-7699	505	34	for	for	ADP
ap-7699	505	35	all	all	DET
ap-7699	505	36	dimensionless	dimensionless	NOUN
ap-7699	505	37	couplings	coupling	NOUN
ap-7699	505	38	and	and	CCONJ
ap-7699	505	39	finally	finally	ADV
ap-7699	505	40	by	by	ADP
ap-7699	505	41	αi(t	αi(t	NOUN
ap-7699	505	42	)	)	PUNCT
ap-7699	505	43	these	these	DET
ap-7699	505	44	running	run	VERB
ap-7699	505	45	couplings	coupling	NOUN
ap-7699	505	46	.	.	PUNCT
ap-7699	506	1	here	here	ADV
ap-7699	506	2	and	and	CCONJ
ap-7699	506	3	above	above	ADP
ap-7699	506	4	we	we	PRON
ap-7699	506	5	neglect	neglect	VERB
ap-7699	506	6	writing	write	VERB
ap-7699	506	7	terms	term	NOUN
ap-7699	506	8	which	which	PRON
ap-7699	506	9	are	be	AUX
ap-7699	506	10	uv	uv	NOUN
ap-7699	506	11	-	-	PUNCT
ap-7699	506	12	divergent	divergent	ADJ
ap-7699	506	13	but	but	CCONJ
ap-7699	506	14	subleading	subleade	VERB
ap-7699	506	15	in	in	ADP
ap-7699	506	16	the	the	DET
ap-7699	506	17	number	number	NOUN
ap-7699	506	18	of	of	ADP
ap-7699	506	19	derivatives	derivative	NOUN
ap-7699	506	20	in	in	ADP
ap-7699	506	21	the	the	DET
ap-7699	506	22	uv	uv	NOUN
ap-7699	506	23	regime	regime	NOUN
ap-7699	506	24	.	.	PUNCT
ap-7699	507	1	from	from	ADP
ap-7699	507	2	(	(	PUNCT
ap-7699	507	3	38	38	NUM
ap-7699	507	4	)	)	PUNCT
ap-7699	507	5	,	,	PUNCT
ap-7699	507	6	the	the	DET
ap-7699	507	7	full	full	ADJ
ap-7699	507	8	counterterm	counterterm	NOUN
ap-7699	507	9	action	action	NOUN
ap-7699	507	10	reads	read	VERB
ap-7699	507	11	,	,	PUNCT
ap-7699	507	12	already	already	ADV
ap-7699	507	13	in	in	ADP
ap-7699	507	14	dimensional	dimensional	ADJ
ap-7699	507	15	regularization	regularization	NOUN
ap-7699	507	16	,	,	PUNCT
ap-7699	507	17	γ(1	γ(1	PROPN
ap-7699	507	18	)	)	PUNCT
ap-7699	507	19	ct	ct	NOUN
ap-7699	507	20	=	=	SYM
ap-7699	507	21	−γ(1	−γ(1	PROPN
ap-7699	507	22	)	)	PUNCT
ap-7699	507	23	div	div	NOUN
ap-7699	507	24	=	=	SYM
ap-7699	507	25	1	1	NUM
ap-7699	507	26	2ϵ	2ϵ	NUM
ap-7699	507	27	1	1	NUM
ap-7699	507	28	(	(	PUNCT
ap-7699	507	29	4π)2	4π)2	NUM
ap-7699	507	30	∫	∫	PROPN
ap-7699	507	31	d4x	d4x	PROPN
ap-7699	507	32	√	√	PROPN
ap-7699	507	33	|g|	|g|	PROPN
ap-7699	507	34	{	{	PUNCT
ap-7699	507	35	(	(	PUNCT
ap-7699	507	36	397	397	NUM
ap-7699	507	37	40	40	NUM
ap-7699	507	38	+	+	NUM
ap-7699	507	39	2x	2x	NUM
ap-7699	507	40	9	9	X
ap-7699	507	41	)	)	PUNCT
ap-7699	507	42	c2	c2	PROPN
ap-7699	507	43	−	−	PROPN
ap-7699	507	44	7	7	NUM
ap-7699	507	45	36r2	36r2	NUM
ap-7699	507	46	+	+	NUM
ap-7699	507	47	1387	1387	NUM
ap-7699	507	48	180	180	NUM
ap-7699	507	49	gb	gb	PROPN
ap-7699	507	50	}	}	PUNCT
ap-7699	507	51	≡	≡	PROPN
ap-7699	507	52	1	1	NUM
ap-7699	507	53	2ϵ	2ϵ	NUM
ap-7699	507	54	1	1	NUM
ap-7699	507	55	(	(	PUNCT
ap-7699	507	56	4π)2	4π)2	NUM
ap-7699	507	57	∫	∫	PROPN
ap-7699	507	58	d4x	d4x	PROPN
ap-7699	507	59	√	√	PROPN
ap-7699	507	60	|g|	|g|	PROPN
ap-7699	507	61	{	{	PUNCT
ap-7699	507	62	βcc2	βcc2	PROPN
ap-7699	507	63	+	+	CCONJ
ap-7699	507	64	βrr2	βrr2	PROPN
ap-7699	507	65	+	+	CCONJ
ap-7699	507	66	βgbgb	βgbgb	ADJ
ap-7699	507	67	}	}	PUNCT
ap-7699	507	68	.	.	PUNCT
ap-7699	508	1	(	(	PUNCT
ap-7699	508	2	39	39	NUM
ap-7699	508	3	)	)	PUNCT
ap-7699	508	4	comparing	compare	VERB
ap-7699	508	5	the	the	DET
ap-7699	508	6	last	last	ADJ
ap-7699	508	7	two	two	NUM
ap-7699	508	8	formulas	formula	NOUN
ap-7699	508	9	we	we	PRON
ap-7699	508	10	can	can	AUX
ap-7699	508	11	identify	identify	VERB
ap-7699	508	12	the	the	DET
ap-7699	508	13	beta	beta	NOUN
ap-7699	508	14	functions	function	NOUN
ap-7699	508	15	and	and	CCONJ
ap-7699	508	16	finally	finally	ADV
ap-7699	508	17	get	get	VERB
ap-7699	508	18	the	the	DET
ap-7699	508	19	renormalization	renormalization	NOUN
ap-7699	508	20	group	group	NOUN
ap-7699	508	21	equations	equation	NOUN
ap-7699	508	22	for	for	ADP
ap-7699	508	23	the	the	DET
ap-7699	508	24	six	six	NUM
ap-7699	508	25	derivative	derivative	ADJ
ap-7699	508	26	theory	theory	NOUN
ap-7699	508	27	,	,	PUNCT
ap-7699	509	1	βc	βc	PROPN
ap-7699	509	2	=	=	SYM
ap-7699	509	3	µ	µ	DET
ap-7699	509	4	dθc	dθc	NOUN
ap-7699	509	5	dµ	dµ	NOUN
ap-7699	509	6	=	=	SYM
ap-7699	509	7	1	1	NUM
ap-7699	509	8	(	(	PUNCT
ap-7699	509	9	4π)2	4π)2	NUM
ap-7699	509	10	(	(	PUNCT
ap-7699	509	11	397	397	NUM
ap-7699	509	12	40	40	NUM
ap-7699	509	13	+	+	NUM
ap-7699	509	14	2x	2x	NUM
ap-7699	509	15	9	9	NUM
ap-7699	509	16	)	)	PUNCT
ap-7699	509	17	,	,	PUNCT
ap-7699	509	18	(	(	PUNCT
ap-7699	509	19	40	40	NUM
ap-7699	509	20	)	)	PUNCT
ap-7699	509	21	βr	βr	PROPN
ap-7699	509	22	=	=	SYM
ap-7699	509	23	µ	µ	DET
ap-7699	509	24	dθr	dθr	NOUN
ap-7699	509	25	dµ	dµ	ADV
ap-7699	509	26	=	=	SYM
ap-7699	510	1	−	−	PROPN
ap-7699	510	2	1	1	NUM
ap-7699	510	3	(	(	PUNCT
ap-7699	510	4	4π)2	4π)2	NUM
ap-7699	510	5	7	7	NUM
ap-7699	510	6	36	36	NUM
ap-7699	510	7	,	,	PUNCT
ap-7699	510	8	(	(	PUNCT
ap-7699	510	9	41	41	NUM
ap-7699	510	10	)	)	PUNCT
ap-7699	510	11	βgb	βgb	ADV
ap-7699	510	12	=	=	SYM
ap-7699	511	1	µ	µ	X
ap-7699	511	2	dθgb	dθgb	NOUN
ap-7699	511	3	dµ	dµ	PROPN
ap-7699	511	4	=	=	SYM
ap-7699	511	5	1	1	NUM
ap-7699	511	6	(	(	PUNCT
ap-7699	511	7	4π)2	4π)2	NUM
ap-7699	511	8	1387	1387	NUM
ap-7699	511	9	180	180	NUM
ap-7699	511	10	,	,	PUNCT
ap-7699	511	11	(	(	PUNCT
ap-7699	511	12	42	42	NUM
ap-7699	511	13	)	)	PUNCT
ap-7699	511	14	the	the	DET
ap-7699	511	15	three	three	NUM
ap-7699	511	16	lines	line	NOUN
ap-7699	511	17	above	above	ADP
ap-7699	511	18	constitute	constitute	VERB
ap-7699	511	19	the	the	DET
ap-7699	511	20	main	main	ADJ
ap-7699	511	21	results	result	NOUN
ap-7699	511	22	of	of	ADP
ap-7699	511	23	this	this	DET
ap-7699	511	24	work	work	NOUN
ap-7699	511	25	.	.	PUNCT
ap-7699	512	1	their	their	PRON
ap-7699	512	2	structure	structure	NOUN
ap-7699	512	3	,	,	PUNCT
ap-7699	512	4	mainly	mainly	ADV
ap-7699	512	5	the	the	DET
ap-7699	512	6	x	x	NOUN
ap-7699	512	7	-	-	NOUN
ap-7699	512	8	dependence	dependence	NOUN
ap-7699	512	9	is	be	AUX
ap-7699	512	10	the	the	DET
ap-7699	512	11	main	main	ADJ
ap-7699	512	12	topic	topic	NOUN
ap-7699	512	13	of	of	ADP
ap-7699	512	14	discussion	discussion	NOUN
ap-7699	512	15	in	in	ADP
ap-7699	512	16	the	the	DET
ap-7699	512	17	next	next	ADJ
ap-7699	512	18	sections	section	NOUN
ap-7699	512	19	.	.	PUNCT
ap-7699	513	1	above	above	ADP
ap-7699	513	2	we	we	PRON
ap-7699	513	3	denoted	denote	VERB
ap-7699	513	4	by	by	ADP
ap-7699	513	5	t	t	PROPN
ap-7699	513	6	the	the	DET
ap-7699	513	7	so	so	ADV
ap-7699	513	8	called	call	VERB
ap-7699	513	9	logarithmic	logarithmic	ADJ
ap-7699	513	10	rg	rg	PROPN
ap-7699	513	11	time	time	NOUN
ap-7699	513	12	parameter	parameter	NOUN
ap-7699	513	13	related	relate	VERB
ap-7699	513	14	in	in	ADP
ap-7699	513	15	the	the	DET
ap-7699	513	16	following	following	ADJ
ap-7699	513	17	way	way	NOUN
ap-7699	513	18	:	:	PUNCT
ap-7699	513	19	t	t	PROPN
ap-7699	513	20	=	=	PUNCT
ap-7699	513	21	log	log	VERB
ap-7699	513	22	µ	µ	NOUN
ap-7699	513	23	µ0	µ0	NOUN
ap-7699	513	24	to	to	ADP
ap-7699	513	25	the	the	DET
ap-7699	513	26	renormalization	renormalization	NOUN
ap-7699	513	27	scale	scale	NOUN
ap-7699	513	28	µ	µ	NOUN
ap-7699	513	29	,	,	PUNCT
ap-7699	513	30	where	where	SCONJ
ap-7699	513	31	µ0	µ0	NOUN
ap-7699	513	32	is	be	AUX
ap-7699	513	33	some	some	DET
ap-7699	513	34	reference	reference	NOUN
ap-7699	513	35	energy	energy	NOUN
ap-7699	513	36	scale	scale	NOUN
ap-7699	513	37	.	.	PUNCT
ap-7699	514	1	as	as	SCONJ
ap-7699	514	2	we	we	PRON
ap-7699	514	3	will	will	AUX
ap-7699	514	4	show	show	VERB
ap-7699	514	5	below	below	ADP
ap-7699	514	6	the	the	DET
ap-7699	514	7	differences	difference	NOUN
ap-7699	514	8	between	between	ADP
ap-7699	514	9	the	the	DET
ap-7699	514	10	cases	case	NOUN
ap-7699	514	11	of	of	ADP
ap-7699	514	12	four	four	NUM
ap-7699	514	13	-	-	PUNCT
ap-7699	514	14	derivative	derivative	ADJ
ap-7699	514	15	theory	theory	NOUN
ap-7699	514	16	and	and	CCONJ
ap-7699	514	17	six	six	NUM
ap-7699	514	18	-	-	PUNCT
ap-7699	514	19	derivative	derivative	ADJ
ap-7699	514	20	one	one	NOUN
ap-7699	514	21	are	be	AUX
ap-7699	514	22	significant	significant	ADJ
ap-7699	514	23	and	and	CCONJ
ap-7699	514	24	the	the	DET
ap-7699	514	25	dependence	dependence	NOUN
ap-7699	514	26	on	on	ADP
ap-7699	514	27	the	the	DET
ap-7699	514	28	ratio	ratio	NOUN
ap-7699	514	29	x	x	PUNCT
ap-7699	514	30	is	be	AUX
ap-7699	514	31	with	with	ADP
ap-7699	514	32	quite	quite	ADV
ap-7699	514	33	opposite	opposite	ADJ
ap-7699	514	34	pattern	pattern	NOUN
ap-7699	514	35	and	and	CCONJ
ap-7699	514	36	in	in	ADP
ap-7699	514	37	completely	completely	ADV
ap-7699	514	38	different	different	ADJ
ap-7699	514	39	sectors	sector	NOUN
ap-7699	514	40	of	of	ADP
ap-7699	514	41	ultraviolet	ultraviolet	ADJ
ap-7699	514	42	divergences	divergence	NOUN
ap-7699	514	43	of	of	ADP
ap-7699	514	44	the	the	DET
ap-7699	514	45	two	two	NUM
ap-7699	514	46	respective	respective	ADJ
ap-7699	514	47	theories	theory	NOUN
ap-7699	514	48	.	.	PUNCT
ap-7699	515	1	in	in	ADP
ap-7699	515	2	the	the	DET
ap-7699	515	3	main	main	ADJ
ap-7699	515	4	part	part	NOUN
ap-7699	515	5	of	of	ADP
ap-7699	515	6	this	this	DET
ap-7699	515	7	contribution	contribution	NOUN
ap-7699	515	8	we	we	PRON
ap-7699	515	9	will	will	AUX
ap-7699	515	10	try	try	VERB
ap-7699	515	11	an	an	DET
ap-7699	515	12	attempt	attempt	NOUN
ap-7699	515	13	to	to	PART
ap-7699	515	14	explain	explain	VERB
ap-7699	515	15	the	the	DET
ap-7699	515	16	mentioned	mention	VERB
ap-7699	515	17	difference	difference	NOUN
ap-7699	515	18	,	,	PUNCT
ap-7699	515	19	which	which	PRON
ap-7699	515	20	is	be	AUX
ap-7699	515	21	now	now	ADV
ap-7699	515	22	clearly	clearly	ADV
ap-7699	515	23	noticeable	noticeable	ADJ
ap-7699	515	24	,	,	PUNCT
ap-7699	515	25	using	use	VERB
ap-7699	515	26	some	some	DET
ap-7699	515	27	general	general	ADJ
ap-7699	515	28	principles	principle	NOUN
ap-7699	515	29	and	and	CCONJ
ap-7699	515	30	arguments	argument	NOUN
ap-7699	515	31	about	about	ADP
ap-7699	515	32	renormalizability	renormalizability	NOUN
ap-7699	515	33	of	of	ADP
ap-7699	515	34	the	the	DET
ap-7699	515	35	quantum	quantum	NOUN
ap-7699	515	36	models	model	NOUN
ap-7699	515	37	.	.	PUNCT
ap-7699	516	1	we	we	PRON
ap-7699	516	2	will	will	AUX
ap-7699	516	3	also	also	ADV
ap-7699	516	4	study	study	VERB
ap-7699	516	5	some	some	DET
ap-7699	516	6	limiting	limit	VERB
ap-7699	516	7	cases	case	NOUN
ap-7699	516	8	of	of	ADP
ap-7699	516	9	the	the	DET
ap-7699	516	10	non	non	ADJ
ap-7699	516	11	-	-	ADJ
ap-7699	516	12	finite	finite	ADJ
ap-7699	516	13	(	(	PUNCT
ap-7699	516	14	infinite	infinite	ADJ
ap-7699	516	15	or	or	CCONJ
ap-7699	516	16	zero	zero	NUM
ap-7699	516	17	)	)	PUNCT
ap-7699	516	18	values	value	NOUN
ap-7699	516	19	of	of	ADP
ap-7699	516	20	the	the	DET
ap-7699	516	21	x	x	NOUN
ap-7699	516	22	parameter	parameter	NOUN
ap-7699	516	23	and	and	CCONJ
ap-7699	516	24	motivate	motivate	VERB
ap-7699	516	25	that	that	SCONJ
ap-7699	516	26	in	in	ADP
ap-7699	516	27	such	such	ADJ
ap-7699	516	28	cases	case	NOUN
ap-7699	516	29	the	the	DET
ap-7699	516	30	qg	qg	PROPN
ap-7699	516	31	model	model	NOUN
ap-7699	516	32	is	be	AUX
ap-7699	516	33	non	non	ADJ
ap-7699	516	34	-	-	ADJ
ap-7699	516	35	renormalizable	renormalizable	ADJ
ap-7699	516	36	and	and	CCONJ
ap-7699	516	37	this	this	PRON
ap-7699	516	38	leads	lead	VERB
ap-7699	516	39	to	to	ADP
ap-7699	516	40	characteristic	characteristic	ADJ
ap-7699	516	41	patterns	pattern	NOUN
ap-7699	516	42	in	in	ADP
ap-7699	516	43	the	the	DET
ap-7699	516	44	structure	structure	NOUN
ap-7699	516	45	of	of	ADP
ap-7699	516	46	beta	beta	NOUN
ap-7699	516	47	functions	function	NOUN
ap-7699	516	48	mentioned	mention	VERB
ap-7699	516	49	above	above	ADV
ap-7699	516	50	for	for	ADP
ap-7699	516	51	six	six	NUM
ap-7699	516	52	-	-	PUNCT
ap-7699	516	53	derivative	derivative	ADJ
ap-7699	516	54	theories	theory	NOUN
ap-7699	516	55	.	.	PUNCT
ap-7699	517	1	this	this	PRON
ap-7699	517	2	is	be	AUX
ap-7699	517	3	also	also	ADV
ap-7699	517	4	why	why	SCONJ
ap-7699	517	5	we	we	PRON
ap-7699	517	6	can	can	AUX
ap-7699	517	7	call	call	VERB
ap-7699	517	8	the	the	DET
ap-7699	517	9	ratio	ratio	NOUN
ap-7699	517	10	x	x	PUNCT
ap-7699	517	11	as	as	ADP
ap-7699	517	12	the	the	DET
ap-7699	517	13	fundamental	fundamental	ADJ
ap-7699	517	14	parameter	parameter	NOUN
ap-7699	517	15	of	of	ADP
ap-7699	517	16	the	the	DET
ap-7699	517	17	gravitational	gravitational	ADJ
ap-7699	517	18	theory	theory	NOUN
ap-7699	517	19	.	.	PUNCT
ap-7699	518	1	132	132	NUM
ap-7699	518	2	vol	vol	NOUN
ap-7699	518	3	.	.	PUNCT
ap-7699	519	1	62	62	NUM
ap-7699	519	2	no	no	INTJ
ap-7699	519	3	.	.	PUNCT
ap-7699	520	1	1/2022	1/2022	NUM
ap-7699	520	2	beta	beta	NOUN
ap-7699	520	3	functions	function	NOUN
ap-7699	520	4	in	in	ADP
ap-7699	520	5	six	six	NUM
ap-7699	520	6	-	-	PUNCT
ap-7699	520	7	derivative	derivative	ADJ
ap-7699	520	8	quantum	quantum	NOUN
ap-7699	520	9	gravity	gravity	NOUN
ap-7699	520	10	3	3	NUM
ap-7699	520	11	.	.	PUNCT
ap-7699	521	1	some	some	DET
ap-7699	521	2	theoretical	theoretical	ADJ
ap-7699	521	3	checks	check	NOUN
ap-7699	521	4	of	of	ADP
ap-7699	521	5	the	the	DET
ap-7699	521	6	results	result	NOUN
ap-7699	521	7	(	(	PUNCT
ap-7699	521	8	33	33	NUM
ap-7699	521	9	)	)	PUNCT
ap-7699	521	10	let	let	VERB
ap-7699	521	11	us	we	PRON
ap-7699	521	12	say	say	VERB
ap-7699	521	13	that	that	SCONJ
ap-7699	521	14	regardless	regardless	ADV
ap-7699	521	15	of	of	ADP
ap-7699	521	16	the	the	DET
ap-7699	521	17	simplicity	simplicity	NOUN
ap-7699	521	18	of	of	ADP
ap-7699	521	19	the	the	DET
ap-7699	521	20	final	final	ADJ
ap-7699	521	21	formulas	formula	NOUN
ap-7699	521	22	with	with	ADP
ap-7699	521	23	the	the	DET
ap-7699	521	24	final	final	ADJ
ap-7699	521	25	result	result	NOUN
ap-7699	521	26	in	in	ADP
ap-7699	521	27	[	[	X
ap-7699	521	28	26	26	NUM
ap-7699	521	29	]	]	PUNCT
ap-7699	521	30	,	,	PUNCT
ap-7699	521	31	the	the	DET
ap-7699	521	32	intermediate	intermediate	ADJ
ap-7699	521	33	calculations	calculation	NOUN
ap-7699	521	34	were	be	AUX
ap-7699	521	35	quite	quite	ADV
ap-7699	521	36	big	big	ADJ
ap-7699	521	37	and	and	CCONJ
ap-7699	521	38	this	this	PRON
ap-7699	521	39	is	be	AUX
ap-7699	521	40	why	why	SCONJ
ap-7699	521	41	we	we	PRON
ap-7699	521	42	can	can	AUX
ap-7699	521	43	not	not	PART
ap-7699	521	44	present	present	VERB
ap-7699	521	45	these	these	DET
ap-7699	521	46	intermediate	intermediate	ADJ
ap-7699	521	47	steps	step	NOUN
ap-7699	521	48	here	here	ADV
ap-7699	521	49	.	.	PUNCT
ap-7699	522	1	this	this	PRON
ap-7699	522	2	was	be	AUX
ap-7699	522	3	not	not	PART
ap-7699	522	4	only	only	ADV
ap-7699	522	5	because	because	SCONJ
ap-7699	522	6	of	of	ADP
ap-7699	522	7	the	the	DET
ap-7699	522	8	size	size	NOUN
ap-7699	522	9	of	of	ADP
ap-7699	522	10	the	the	DET
ap-7699	522	11	algebraic	algebraic	ADJ
ap-7699	522	12	expressions	expression	NOUN
ap-7699	522	13	,	,	PUNCT
ap-7699	522	14	where	where	SCONJ
ap-7699	522	15	we	we	PRON
ap-7699	522	16	used	use	VERB
ap-7699	522	17	mathematica	mathematica	PROPN
ap-7699	522	18	for	for	ADP
ap-7699	522	19	help	help	NOUN
ap-7699	522	20	with	with	ADP
ap-7699	522	21	symbolic	symbolic	ADJ
ap-7699	522	22	algebra	algebra	NOUN
ap-7699	522	23	manipulations	manipulation	NOUN
ap-7699	522	24	,	,	PUNCT
ap-7699	522	25	but	but	CCONJ
ap-7699	522	26	also	also	ADV
ap-7699	522	27	due	due	ADP
ap-7699	522	28	to	to	ADP
ap-7699	522	29	the	the	DET
ap-7699	522	30	complexity	complexity	NOUN
ap-7699	522	31	of	of	ADP
ap-7699	522	32	all	all	DET
ap-7699	522	33	the	the	DET
ap-7699	522	34	steps	step	NOUN
ap-7699	522	35	of	of	ADP
ap-7699	522	36	the	the	DET
ap-7699	522	37	computation	computation	NOUN
ap-7699	522	38	starting	start	VERB
ap-7699	522	39	from	from	ADP
ap-7699	522	40	the	the	DET
ap-7699	522	41	quadratic	quadratic	ADJ
ap-7699	522	42	expansions	expansion	NOUN
ap-7699	522	43	of	of	ADP
ap-7699	522	44	the	the	DET
ap-7699	522	45	action	action	NOUN
ap-7699	522	46	of	of	ADP
ap-7699	522	47	six	six	NUM
ap-7699	522	48	-	-	PUNCT
ap-7699	522	49	derivative	derivative	ADJ
ap-7699	522	50	classical	classical	ADJ
ap-7699	522	51	theory	theory	NOUN
ap-7699	522	52	.	.	PUNCT
ap-7699	523	1	the	the	DET
ap-7699	523	2	ultimate	ultimate	ADJ
ap-7699	523	3	validity	validity	NOUN
ap-7699	523	4	of	of	ADP
ap-7699	523	5	the	the	DET
ap-7699	523	6	calculations	calculation	NOUN
ap-7699	523	7	has	have	AUX
ap-7699	523	8	been	be	AUX
ap-7699	523	9	checked	check	VERB
ap-7699	523	10	in	in	ADP
ap-7699	523	11	several	several	ADJ
ap-7699	523	12	different	different	ADJ
ap-7699	523	13	ways	way	NOUN
ap-7699	523	14	.	.	PUNCT
ap-7699	524	1	this	this	PRON
ap-7699	524	2	is	be	AUX
ap-7699	524	3	also	also	ADV
ap-7699	524	4	briefly	briefly	ADV
ap-7699	524	5	described	describe	VERB
ap-7699	524	6	below	below	ADV
ap-7699	524	7	.	.	PUNCT
ap-7699	525	1	the	the	DET
ap-7699	525	2	following	follow	VERB
ap-7699	525	3	checks	check	NOUN
ap-7699	525	4	were	be	AUX
ap-7699	525	5	performed	perform	VERB
ap-7699	525	6	to	to	PART
ap-7699	525	7	ensure	ensure	VERB
ap-7699	525	8	the	the	DET
ap-7699	525	9	correctness	correctness	NOUN
ap-7699	525	10	of	of	ADP
ap-7699	525	11	the	the	DET
ap-7699	525	12	intermediate	intermediate	ADJ
ap-7699	525	13	results	result	NOUN
ap-7699	525	14	of	of	ADP
ap-7699	525	15	the	the	DET
ap-7699	525	16	computation	computation	NOUN
ap-7699	525	17	of	of	ADP
ap-7699	525	18	uv	uv	NOUN
ap-7699	525	19	divergences	divergence	NOUN
ap-7699	525	20	,	,	PUNCT
ap-7699	525	21	which	which	PRON
ap-7699	525	22	was	be	AUX
ap-7699	525	23	the	the	DET
ap-7699	525	24	main	main	ADJ
ap-7699	525	25	task	task	NOUN
ap-7699	525	26	of	of	ADP
ap-7699	525	27	the	the	DET
ap-7699	525	28	work	work	NOUN
ap-7699	525	29	presented	present	VERB
ap-7699	525	30	here	here	ADV
ap-7699	525	31	.	.	PUNCT
ap-7699	526	1	(	(	PUNCT
ap-7699	526	2	1	1	NUM
ap-7699	526	3	.	.	PUNCT
ap-7699	526	4	)	)	PUNCT
ap-7699	527	1	first	first	ADV
ap-7699	527	2	,	,	PUNCT
ap-7699	527	3	the	the	DET
ap-7699	527	4	validity	validity	NOUN
ap-7699	527	5	of	of	ADP
ap-7699	527	6	the	the	DET
ap-7699	527	7	expression	expression	NOUN
ap-7699	527	8	for	for	ADP
ap-7699	527	9	the	the	DET
ap-7699	527	10	hessian	hessian	ADJ
ap-7699	527	11	operator	operator	NOUN
ap-7699	527	12	from	from	ADP
ap-7699	527	13	the	the	DET
ap-7699	527	14	classical	classical	ADJ
ap-7699	527	15	action	action	NOUN
ap-7699	527	16	with	with	ADP
ap-7699	527	17	six	six	NUM
ap-7699	527	18	derivatives	derivative	NOUN
ap-7699	527	19	was	be	AUX
ap-7699	527	20	verified	verify	VERB
ap-7699	527	21	in	in	ADP
ap-7699	527	22	the	the	DET
ap-7699	527	23	following	following	ADJ
ap-7699	527	24	way	way	NOUN
ap-7699	527	25	.	.	PUNCT
ap-7699	528	1	the	the	DET
ap-7699	528	2	covariant	covariant	ADJ
ap-7699	528	3	divergence	divergence	NOUN
ap-7699	528	4	of	of	ADP
ap-7699	528	5	the	the	DET
ap-7699	528	6	second	second	ADJ
ap-7699	528	7	variational	variational	ADJ
ap-7699	528	8	derivative	derivative	ADJ
ap-7699	528	9	operator	operator	NOUN
ap-7699	528	10	(	(	PUNCT
ap-7699	528	11	hessian	hessian	NOUN
ap-7699	528	12	)	)	PUNCT
ap-7699	528	13	with	with	ADP
ap-7699	528	14	respect	respect	NOUN
ap-7699	528	15	to	to	ADP
ap-7699	528	16	gravitational	gravitational	ADJ
ap-7699	528	17	fluctuations	fluctuation	NOUN
ap-7699	528	18	hµν	hµν	NOUN
ap-7699	528	19	,	,	PUNCT
ap-7699	528	20	from	from	ADP
ap-7699	528	21	each	each	DET
ap-7699	528	22	gr	gr	ADJ
ap-7699	528	23	-	-	PUNCT
ap-7699	528	24	covariant	covariant	ADJ
ap-7699	528	25	term	term	NOUN
ap-7699	528	26	sgrav	sgrav	NOUN
ap-7699	528	27	,	,	PUNCT
ap-7699	528	28	i	i	PRON
ap-7699	528	29	in	in	ADP
ap-7699	528	30	the	the	DET
ap-7699	528	31	gravitational	gravitational	ADJ
ap-7699	528	32	action	action	NOUN
ap-7699	528	33	must	must	AUX
ap-7699	528	34	be	be	AUX
ap-7699	528	35	separately	separately	ADV
ap-7699	528	36	zero	zero	NUM
ap-7699	528	37	,	,	PUNCT
ap-7699	528	38	namely	namely	ADV
ap-7699	528	39	∇µ	∇µ	PROPN
ap-7699	528	40	(	(	PUNCT
ap-7699	528	41	δ2sgrav	δ2sgrav	PROPN
ap-7699	528	42	,	,	PUNCT
ap-7699	528	43	i	i	PRON
ap-7699	528	44	δhµνδhρσ	δhµνδhρσ	NOUN
ap-7699	528	45	)	)	PUNCT
ap-7699	529	1	=	=	PUNCT
ap-7699	529	2	0	0	PUNCT
ap-7699	530	1	+	+	NUM
ap-7699	530	2	o	o	X
ap-7699	530	3	(	(	PUNCT
ap-7699	530	4	∇krl	∇krl	PROPN
ap-7699	530	5	,	,	PUNCT
ap-7699	530	6	k	k	PROPN
ap-7699	530	7	+	+	CCONJ
ap-7699	530	8	2l	2l	NUM
ap-7699	530	9	>	>	SYM
ap-7699	530	10	4	4	NUM
ap-7699	530	11	)	)	PUNCT
ap-7699	530	12	,	,	PUNCT
ap-7699	530	13	(	(	PUNCT
ap-7699	530	14	43	43	NUM
ap-7699	530	15	)	)	PUNCT
ap-7699	530	16	where	where	SCONJ
ap-7699	530	17	shd	shd	NOUN
ap-7699	530	18	=	=	PUNCT
ap-7699	530	19	∑	∑	PROPN
ap-7699	530	20	i	i	PRON
ap-7699	530	21	sgrav	sgrav	VERB
ap-7699	530	22	,	,	PUNCT
ap-7699	530	23	i.	i.	NOUN
ap-7699	530	24	this	this	DET
ap-7699	530	25	formula	formula	NOUN
ap-7699	530	26	was	be	AUX
ap-7699	530	27	explicitly	explicitly	ADV
ap-7699	530	28	checked	check	VERB
ap-7699	530	29	for	for	ADP
ap-7699	530	30	each	each	DET
ap-7699	530	31	term	term	NOUN
ap-7699	530	32	in	in	ADP
ap-7699	530	33	the	the	DET
ap-7699	530	34	action	action	NOUN
ap-7699	530	35	in	in	ADP
ap-7699	530	36	(	(	PUNCT
ap-7699	530	37	10	10	NUM
ap-7699	530	38	)	)	PUNCT
ap-7699	530	39	to	to	ADP
ap-7699	530	40	the	the	DET
ap-7699	530	41	order	order	NOUN
ap-7699	530	42	quadratic	quadratic	ADJ
ap-7699	530	43	in	in	ADP
ap-7699	530	44	curvatures	curvature	NOUN
ap-7699	530	45	and	and	CCONJ
ap-7699	530	46	up	up	ADP
ap-7699	530	47	to	to	PART
ap-7699	530	48	total	total	NOUN
ap-7699	530	49	of	of	ADP
ap-7699	530	50	four	four	NUM
ap-7699	530	51	covariant	covariant	ADJ
ap-7699	530	52	derivatives	derivative	NOUN
ap-7699	530	53	acting	act	VERB
ap-7699	530	54	on	on	ADP
ap-7699	530	55	the	the	DET
ap-7699	530	56	general	general	ADJ
ap-7699	530	57	gravitational	gravitational	PROPN
ap-7699	530	58	curvature	curvature	PROPN
ap-7699	530	59	r.	r.	PROPN
ap-7699	530	60	(	(	PUNCT
ap-7699	530	61	2	2	NUM
ap-7699	530	62	.	.	PUNCT
ap-7699	530	63	)	)	PUNCT
ap-7699	531	1	the	the	DET
ap-7699	531	2	computation	computation	NOUN
ap-7699	531	3	of	of	ADP
ap-7699	531	4	the	the	DET
ap-7699	531	5	functional	functional	ADJ
ap-7699	531	6	trace	trace	NOUN
ap-7699	531	7	of	of	ADP
ap-7699	531	8	the	the	DET
ap-7699	531	9	logarithm	logarithm	NOUN
ap-7699	531	10	of	of	ADP
ap-7699	531	11	the	the	DET
ap-7699	531	12	gauge	gauge	NOUN
ap-7699	531	13	weighting	weighting	NOUN
ap-7699	531	14	operator	operator	NOUN
ap-7699	531	15	ĉ	ĉ	NOUN
ap-7699	531	16	,	,	PUNCT
ap-7699	531	17	namely	namely	ADV
ap-7699	531	18	of	of	ADP
ap-7699	531	19	tr	tr	PUNCT
ap-7699	531	20	ln	ln	ADJ
ap-7699	531	21	ĉ	ĉ	VERB
ap-7699	531	22	was	be	AUX
ap-7699	531	23	checked	check	VERB
ap-7699	531	24	using	use	VERB
ap-7699	531	25	three	three	NUM
ap-7699	531	26	methods	method	NOUN
ap-7699	531	27	.	.	PUNCT
ap-7699	532	1	since	since	SCONJ
ap-7699	532	2	the	the	DET
ap-7699	532	3	ĉ	ĉ	NUM
ap-7699	532	4	operator	operator	NOUN
ap-7699	532	5	is	be	AUX
ap-7699	532	6	a	a	DET
ap-7699	532	7	non	non	ADJ
ap-7699	532	8	-	-	ADJ
ap-7699	532	9	minimal	minimal	ADJ
ap-7699	532	10	four	four	NUM
ap-7699	532	11	-	-	PUNCT
ap-7699	532	12	derivative	derivative	ADJ
ap-7699	532	13	differential	differential	NOUN
ap-7699	532	14	operator	operator	NOUN
ap-7699	532	15	and	and	CCONJ
ap-7699	532	16	matrix	matrix	NOUN
ap-7699	532	17	-	-	PUNCT
ap-7699	532	18	valued	value	VERB
ap-7699	532	19	(	(	PUNCT
ap-7699	532	20	so	so	ADV
ap-7699	532	21	with	with	ADP
ap-7699	532	22	vector	vector	NOUN
ap-7699	532	23	indices	index	NOUN
ap-7699	532	24	)	)	PUNCT
ap-7699	532	25	,	,	PUNCT
ap-7699	532	26	then	then	ADV
ap-7699	532	27	the	the	DET
ap-7699	532	28	computation	computation	NOUN
ap-7699	532	29	of	of	ADP
ap-7699	532	30	its	its	PRON
ap-7699	532	31	trace	trace	NOUN
ap-7699	532	32	of	of	ADP
ap-7699	532	33	the	the	DET
ap-7699	532	34	logarithm	logarithm	NOUN
ap-7699	532	35	is	be	AUX
ap-7699	532	36	a	a	DET
ap-7699	532	37	bit	bit	NOUN
ap-7699	532	38	troublesome	troublesome	ADJ
ap-7699	532	39	.	.	PUNCT
ap-7699	533	1	one	one	PRON
ap-7699	533	2	has	have	VERB
ap-7699	533	3	to	to	PART
ap-7699	533	4	be	be	AUX
ap-7699	533	5	more	more	ADV
ap-7699	533	6	careful	careful	ADJ
ap-7699	533	7	here	here	ADV
ap-7699	533	8	.	.	PUNCT
ap-7699	534	1	therefore	therefore	ADV
ap-7699	534	2	,	,	PUNCT
ap-7699	534	3	we	we	PRON
ap-7699	534	4	performed	perform	VERB
ap-7699	534	5	additional	additional	ADJ
ap-7699	534	6	verifications	verification	NOUN
ap-7699	534	7	of	of	ADP
ap-7699	534	8	our	our	PRON
ap-7699	534	9	partial	partial	ADJ
ap-7699	534	10	results	result	NOUN
ap-7699	534	11	for	for	ADP
ap-7699	534	12	this	this	DET
ap-7699	534	13	trace	trace	NOUN
ap-7699	534	14	.	.	PUNCT
ap-7699	535	1	our	our	PRON
ap-7699	535	2	three	three	NUM
ap-7699	535	3	methods	method	NOUN
ap-7699	535	4	consist	consist	VERB
ap-7699	535	5	basically	basically	ADV
ap-7699	535	6	of	of	ADP
ap-7699	535	7	transforming	transform	VERB
ap-7699	535	8	the	the	DET
ap-7699	535	9	problem	problem	NOUN
ap-7699	535	10	to	to	ADP
ap-7699	535	11	computing	compute	VERB
ap-7699	535	12	the	the	DET
ap-7699	535	13	same	same	ADJ
ap-7699	535	14	trace	trace	NOUN
ap-7699	535	15	of	of	ADP
ap-7699	535	16	logarithm	logarithm	NOUN
ap-7699	535	17	but	but	CCONJ
ap-7699	535	18	of	of	ADP
ap-7699	535	19	new	new	ADJ
ap-7699	535	20	operators	operator	NOUN
ap-7699	535	21	(	(	PUNCT
ap-7699	535	22	with	with	ADP
ap-7699	535	23	higher	high	ADJ
ap-7699	535	24	number	number	NOUN
ap-7699	535	25	of	of	ADP
ap-7699	535	26	derivatives	derivative	NOUN
ap-7699	535	27	)	)	PUNCT
ap-7699	535	28	.	.	PUNCT
ap-7699	536	1	next	next	ADV
ap-7699	536	2	,	,	PUNCT
ap-7699	536	3	by	by	ADP
ap-7699	536	4	selecting	select	VERB
ap-7699	536	5	some	some	DET
ap-7699	536	6	adjustable	adjustable	ADJ
ap-7699	536	7	parameters	parameter	NOUN
ap-7699	536	8	present	present	ADJ
ap-7699	536	9	in	in	ADP
ap-7699	536	10	the	the	DET
ap-7699	536	11	construction	construction	NOUN
ap-7699	536	12	of	of	ADP
ap-7699	536	13	these	these	DET
ap-7699	536	14	new	new	ADJ
ap-7699	536	15	operators	operator	NOUN
ap-7699	536	16	,	,	PUNCT
ap-7699	536	17	these	these	DET
ap-7699	536	18	morphed	morph	VERB
ap-7699	536	19	operators	operator	NOUN
ap-7699	536	20	could	could	AUX
ap-7699	536	21	be	be	AUX
ap-7699	536	22	put	put	VERB
ap-7699	536	23	into	into	ADP
ap-7699	536	24	a	a	DET
ap-7699	536	25	minimal	minimal	ADJ
ap-7699	536	26	form	form	NOUN
ap-7699	536	27	and	and	CCONJ
ap-7699	536	28	easily	easily	ADV
ap-7699	536	29	traced	trace	VERB
ap-7699	536	30	(	(	PUNCT
ap-7699	536	31	under	under	ADP
ap-7699	536	32	the	the	DET
ap-7699	536	33	functional	functional	ADJ
ap-7699	536	34	logarithm	logarithm	NOUN
ap-7699	536	35	operation	operation	NOUN
ap-7699	536	36	)	)	PUNCT
ap-7699	536	37	using	use	VERB
ap-7699	536	38	standard	standard	ADJ
ap-7699	536	39	methods	method	NOUN
ap-7699	536	40	and	and	CCONJ
ap-7699	536	41	prescriptions	prescription	NOUN
ap-7699	536	42	of	of	ADP
ap-7699	536	43	barvinskyvilkovisky	barvinskyvilkovisky	NOUN
ap-7699	536	44	trace	trace	NOUN
ap-7699	536	45	technology	technology	NOUN
ap-7699	537	1	[	[	X
ap-7699	537	2	27	27	NUM
ap-7699	537	3	]	]	PUNCT
ap-7699	537	4	.	.	PUNCT
ap-7699	538	1	this	this	DET
ap-7699	538	2	construction	construction	NOUN
ap-7699	538	3	of	of	ADP
ap-7699	538	4	new	new	ADJ
ap-7699	538	5	operators	operator	NOUN
ap-7699	538	6	was	be	AUX
ap-7699	538	7	achieved	achieve	VERB
ap-7699	538	8	by	by	ADP
ap-7699	538	9	an	an	DET
ap-7699	538	10	operatorial	operatorial	ADJ
ap-7699	538	11	multiplication	multiplication	NOUN
ap-7699	538	12	by	by	ADP
ap-7699	538	13	some	some	DET
ap-7699	538	14	two	two	NUM
ap-7699	538	15	-	-	PUNCT
ap-7699	538	16	derivative	derivative	NOUN
ap-7699	538	17	spin	spin	NOUN
ap-7699	538	18	-	-	PUNCT
ap-7699	538	19	one	one	NUM
ap-7699	538	20	operator	operator	NOUN
ap-7699	538	21	ŷ	ŷ	NOUN
ap-7699	538	22	containing	contain	VERB
ap-7699	538	23	one	one	NUM
ap-7699	538	24	free	free	ADJ
ap-7699	538	25	adjustable	adjustable	ADJ
ap-7699	538	26	parameter	parameter	NOUN
ap-7699	538	27	.	.	PUNCT
ap-7699	539	1	for	for	ADP
ap-7699	539	2	details	detail	NOUN
ap-7699	539	3	one	one	PRON
ap-7699	539	4	can	can	AUX
ap-7699	539	5	look	look	VERB
ap-7699	539	6	up	up	ADP
ap-7699	539	7	the	the	DET
ap-7699	539	8	section	section	NOUN
ap-7699	539	9	iii	iii	PROPN
ap-7699	539	10	of	of	ADP
ap-7699	539	11	[	[	X
ap-7699	539	12	26	26	NUM
ap-7699	539	13	]	]	PUNCT
ap-7699	539	14	.	.	PUNCT
ap-7699	540	1	in	in	ADP
ap-7699	540	2	the	the	DET
ap-7699	540	3	first	first	ADJ
ap-7699	540	4	variant	variant	NOUN
ap-7699	540	5	of	of	ADP
ap-7699	540	6	the	the	DET
ap-7699	540	7	method	method	NOUN
ap-7699	540	8	,	,	PUNCT
ap-7699	540	9	we	we	PRON
ap-7699	540	10	multiplied	multiply	VERB
ap-7699	540	11	ĉ	ĉ	NOUN
ap-7699	540	12	from	from	ADP
ap-7699	540	13	the	the	DET
ap-7699	540	14	right	right	NOUN
ap-7699	540	15	by	by	ADP
ap-7699	540	16	ŷ	ŷ	NUM
ap-7699	540	17	one	one	NUM
ap-7699	540	18	time	time	NOUN
ap-7699	540	19	,	,	PUNCT
ap-7699	540	20	in	in	ADP
ap-7699	540	21	the	the	DET
ap-7699	540	22	second	second	ADJ
ap-7699	540	23	method	method	NOUN
ap-7699	540	24	we	we	PRON
ap-7699	540	25	multiplied	multiply	VERB
ap-7699	540	26	by	by	ADP
ap-7699	540	27	ŷ	ŷ	NUM
ap-7699	540	28	from	from	ADP
ap-7699	540	29	the	the	DET
ap-7699	540	30	left	left	NOUN
ap-7699	540	31	also	also	ADV
ap-7699	540	32	once	once	ADV
ap-7699	540	33	,	,	PUNCT
ap-7699	540	34	and	and	CCONJ
ap-7699	540	35	in	in	ADP
ap-7699	540	36	the	the	DET
ap-7699	540	37	final	final	ADJ
ap-7699	540	38	third	third	ADJ
ap-7699	540	39	method	method	NOUN
ap-7699	540	40	we	we	PRON
ap-7699	540	41	used	use	VERB
ap-7699	540	42	the	the	DET
ap-7699	540	43	explicitly	explicitly	ADV
ap-7699	540	44	symmetric	symmetric	ADJ
ap-7699	540	45	form	form	NOUN
ap-7699	540	46	of	of	ADP
ap-7699	540	47	multiplication	multiplication	NOUN
ap-7699	540	48	ŷĉŷ	ŷĉŷ	VERB
ap-7699	540	49	.	.	PUNCT
ap-7699	541	1	(	(	PUNCT
ap-7699	541	2	this	this	DET
ap-7699	541	3	last	last	ADJ
ap-7699	541	4	form	form	NOUN
ap-7699	541	5	of	of	ADP
ap-7699	541	6	multiplication	multiplication	NOUN
ap-7699	541	7	is	be	AUX
ap-7699	541	8	presumably	presumably	ADV
ap-7699	541	9	very	very	ADV
ap-7699	541	10	important	important	ADJ
ap-7699	541	11	for	for	SCONJ
ap-7699	541	12	the	the	DET
ap-7699	541	13	manifest	manif	ADJ
ap-7699	541	14	self	self	NOUN
ap-7699	541	15	-	-	PUNCT
ap-7699	541	16	adjointness	adjointness	NOUN
ap-7699	541	17	property	property	NOUN
ap-7699	541	18	of	of	ADP
ap-7699	541	19	the	the	DET
ap-7699	541	20	resulting	result	VERB
ap-7699	541	21	8	8	NUM
ap-7699	541	22	-	-	PUNCT
ap-7699	541	23	derivative	derivative	ADJ
ap-7699	541	24	differential	differential	NOUN
ap-7699	541	25	operator	operator	NOUN
ap-7699	541	26	ŷĉŷ	ŷĉŷ	VERB
ap-7699	541	27	.	.	PUNCT
ap-7699	541	28	)	)	PUNCT
ap-7699	542	1	for	for	ADP
ap-7699	542	2	these	these	DET
ap-7699	542	3	operatorial	operatorial	ADJ
ap-7699	542	4	multiplications	multiplication	NOUN
ap-7699	542	5	,	,	PUNCT
ap-7699	542	6	ŷ	ŷ	NUM
ap-7699	542	7	was	be	AUX
ap-7699	542	8	a	a	DET
ap-7699	542	9	twoderivative	twoderivative	ADJ
ap-7699	542	10	operator	operator	NOUN
ap-7699	542	11	,	,	PUNCT
ap-7699	542	12	whose	whose	DET
ap-7699	542	13	trace	trace	NOUN
ap-7699	542	14	of	of	ADP
ap-7699	542	15	the	the	DET
ap-7699	542	16	logarithm	logarithm	NOUN
ap-7699	542	17	is	be	AUX
ap-7699	542	18	known	know	VERB
ap-7699	542	19	and	and	CCONJ
ap-7699	542	20	can	can	AUX
ap-7699	542	21	be	be	AUX
ap-7699	542	22	easily	easily	ADV
ap-7699	542	23	verified	verify	VERB
ap-7699	542	24	.	.	PUNCT
ap-7699	543	1	(	(	PUNCT
ap-7699	543	2	this	this	PRON
ap-7699	543	3	was	be	AUX
ap-7699	543	4	also	also	ADV
ap-7699	543	5	checked	check	VERB
ap-7699	543	6	independently	independently	ADV
ap-7699	543	7	below	below	ADV
ap-7699	543	8	.	.	PUNCT
ap-7699	543	9	)	)	PUNCT
ap-7699	544	1	we	we	PRON
ap-7699	544	2	emphasize	emphasize	VERB
ap-7699	544	3	that	that	SCONJ
ap-7699	544	4	in	in	ADP
ap-7699	544	5	the	the	DET
ap-7699	544	6	first	first	ADJ
ap-7699	544	7	two	two	NUM
ap-7699	544	8	methods	method	NOUN
ap-7699	544	9	the	the	DET
ap-7699	544	10	resulting	result	VERB
ap-7699	544	11	operators	operator	NOUN
ap-7699	544	12	(	(	PUNCT
ap-7699	544	13	ŷĉ	ŷĉ	X
ap-7699	544	14	and	and	CCONJ
ap-7699	544	15	ĉŷ	ĉŷ	VERB
ap-7699	544	16	respectively	respectively	ADV
ap-7699	544	17	)	)	PUNCT
ap-7699	544	18	were	be	AUX
ap-7699	544	19	six	six	NUM
ap-7699	544	20	-	-	PUNCT
ap-7699	544	21	derivative	derivative	ADJ
ap-7699	544	22	ones	one	NOUN
ap-7699	544	23	,	,	PUNCT
ap-7699	544	24	while	while	SCONJ
ap-7699	544	25	in	in	ADP
ap-7699	544	26	the	the	DET
ap-7699	544	27	last	last	ADJ
ap-7699	544	28	one	one	NOUN
ap-7699	544	29	with	with	ADP
ap-7699	544	30	double	double	ADJ
ap-7699	544	31	multiplication	multiplication	NOUN
ap-7699	544	32	from	from	ADP
ap-7699	544	33	both	both	DET
ap-7699	544	34	sides	side	NOUN
ap-7699	544	35	,	,	PUNCT
ap-7699	544	36	ŷĉŷ	ŷĉŷ	VERB
ap-7699	544	37	was	be	AUX
ap-7699	544	38	an	an	DET
ap-7699	544	39	eight	eight	NUM
ap-7699	544	40	-	-	PUNCT
ap-7699	544	41	derivative	derivative	NOUN
ap-7699	544	42	matrix	matrix	NOUN
ap-7699	544	43	-	-	PUNCT
ap-7699	544	44	valued	value	VERB
ap-7699	544	45	differential	differential	NOUN
ap-7699	544	46	operator	operator	NOUN
ap-7699	544	47	.	.	PUNCT
ap-7699	545	1	at	at	ADP
ap-7699	545	2	the	the	DET
ap-7699	545	3	end	end	NOUN
ap-7699	545	4	,	,	PUNCT
ap-7699	545	5	all	all	DET
ap-7699	545	6	three	three	NUM
ap-7699	545	7	described	describe	VERB
ap-7699	545	8	above	above	ADP
ap-7699	545	9	methods	method	NOUN
ap-7699	545	10	of	of	ADP
ap-7699	545	11	computation	computation	NOUN
ap-7699	545	12	of	of	ADP
ap-7699	545	13	tr	tr	PUNCT
ap-7699	545	14	ln	ln	ADJ
ap-7699	545	15	ĉ	ĉ	X
ap-7699	545	16	agree	agree	VERB
ap-7699	545	17	for	for	ADP
ap-7699	545	18	terms	term	NOUN
ap-7699	545	19	quadratic	quadratic	ADJ
ap-7699	545	20	in	in	ADP
ap-7699	545	21	curvatures	curvature	NOUN
ap-7699	545	22	.	.	PUNCT
ap-7699	546	1	these	these	DET
ap-7699	546	2	terms	term	NOUN
ap-7699	546	3	are	be	AUX
ap-7699	546	4	only	only	ADV
ap-7699	546	5	important	important	ADJ
ap-7699	546	6	for	for	ADP
ap-7699	546	7	us	we	PRON
ap-7699	546	8	here	here	ADV
ap-7699	546	9	since	since	SCONJ
ap-7699	546	10	they	they	PRON
ap-7699	546	11	appear	appear	VERB
ap-7699	546	12	in	in	ADP
ap-7699	546	13	the	the	DET
ap-7699	546	14	form	form	NOUN
ap-7699	546	15	of	of	ADP
ap-7699	546	16	uv	uv	NOUN
ap-7699	546	17	divergences	divergence	NOUN
ap-7699	546	18	of	of	ADP
ap-7699	546	19	the	the	DET
ap-7699	546	20	theory	theory	NOUN
ap-7699	546	21	(	(	PUNCT
ap-7699	546	22	and	and	CCONJ
ap-7699	546	23	are	be	AUX
ap-7699	546	24	composed	compose	VERB
ap-7699	546	25	from	from	ADP
ap-7699	546	26	gr	gr	ADJ
ap-7699	546	27	-	-	PUNCT
ap-7699	546	28	invariants	invariant	NOUN
ap-7699	546	29	:	:	PUNCT
ap-7699	546	30	r2	r2	NOUN
ap-7699	546	31	,	,	PUNCT
ap-7699	546	32	r2	r2	PROPN
ap-7699	546	33	µν	µν	INTJ
ap-7699	546	34	,	,	PUNCT
ap-7699	546	35	and	and	CCONJ
ap-7699	546	36	r2	r2	PROPN
ap-7699	546	37	µνρσ	µνρσ	PROPN
ap-7699	546	38	)	)	PUNCT
ap-7699	546	39	.	.	PUNCT
ap-7699	547	1	(	(	PUNCT
ap-7699	547	2	3	3	X
ap-7699	547	3	.	.	NUM
ap-7699	547	4	)	)	PUNCT
ap-7699	547	5	similarly	similarly	ADV
ap-7699	547	6	,	,	PUNCT
ap-7699	547	7	the	the	DET
ap-7699	547	8	computation	computation	NOUN
ap-7699	547	9	of	of	ADP
ap-7699	547	10	tr	tr	VERB
ap-7699	547	11	ln	ln	ADJ
ap-7699	547	12	ŷ	ŷ	NUM
ap-7699	547	13	for	for	ADP
ap-7699	547	14	the	the	DET
ap-7699	547	15	twoderivative	twoderivative	ADJ
ap-7699	547	16	operator	operator	NOUN
ap-7699	547	17	ŷ	ŷ	PUNCT
ap-7699	547	18	was	be	AUX
ap-7699	547	19	verified	verify	VERB
ap-7699	547	20	using	use	VERB
ap-7699	547	21	three	three	NUM
ap-7699	547	22	analogous	analogous	ADJ
ap-7699	547	23	methods	method	NOUN
ap-7699	547	24	.	.	PUNCT
ap-7699	548	1	we	we	PRON
ap-7699	548	2	used	use	VERB
ap-7699	548	3	multiplication	multiplication	NOUN
ap-7699	548	4	from	from	ADP
ap-7699	548	5	both	both	DET
ap-7699	548	6	sides	side	NOUN
ap-7699	548	7	by	by	ADP
ap-7699	548	8	the	the	DET
ap-7699	548	9	operator	operator	NOUN
ap-7699	548	10	â	â	VERB
ap-7699	548	11	and	and	CCONJ
ap-7699	548	12	also	also	ADV
ap-7699	548	13	the	the	DET
ap-7699	548	14	symmetric	symmetric	ADJ
ap-7699	548	15	form	form	NOUN
ap-7699	548	16	of	of	ADP
ap-7699	548	17	multiplication	multiplication	NOUN
ap-7699	548	18	âŷâ	âŷâ	PROPN
ap-7699	548	19	,	,	PUNCT
ap-7699	548	20	where	where	SCONJ
ap-7699	548	21	ŷ	ŷ	NUM
ap-7699	548	22	is	be	AUX
ap-7699	548	23	a	a	DET
ap-7699	548	24	two	two	NUM
ap-7699	548	25	-	-	PUNCT
ap-7699	548	26	derivative	derivative	NOUN
ap-7699	548	27	operator	operator	NOUN
ap-7699	548	28	,	,	PUNCT
ap-7699	548	29	whose	whose	DET
ap-7699	548	30	functional	functional	ADJ
ap-7699	548	31	trace	trace	NOUN
ap-7699	548	32	of	of	ADP
ap-7699	548	33	the	the	DET
ap-7699	548	34	logarithm	logarithm	NOUN
ap-7699	548	35	we	we	PRON
ap-7699	548	36	searched	search	VERB
ap-7699	548	37	here	here	ADV
ap-7699	548	38	.	.	PUNCT
ap-7699	549	1	above	above	ADV
ap-7699	549	2	,	,	PUNCT
ap-7699	549	3	â	â	X
ap-7699	549	4	was	be	AUX
ap-7699	549	5	another	another	DET
ap-7699	549	6	two	two	NUM
ap-7699	549	7	-	-	PUNCT
ap-7699	549	8	derivative	derivative	ADJ
ap-7699	549	9	non	non	ADJ
ap-7699	549	10	-	-	ADJ
ap-7699	549	11	minimal	minimal	ADJ
ap-7699	549	12	spin	spin	NOUN
ap-7699	549	13	-	-	PUNCT
ap-7699	549	14	one	one	NUM
ap-7699	549	15	vector	vector	NOUN
ap-7699	549	16	gauge	gauge	NOUN
ap-7699	549	17	(	(	PUNCT
ap-7699	549	18	massless	massless	NOUN
ap-7699	549	19	)	)	PUNCT
ap-7699	549	20	operator	operator	NOUN
ap-7699	549	21	,	,	PUNCT
ap-7699	549	22	whose	whose	DET
ap-7699	549	23	trace	trace	NOUN
ap-7699	549	24	of	of	ADP
ap-7699	549	25	the	the	DET
ap-7699	549	26	logarithm	logarithm	NOUN
ap-7699	549	27	is	be	AUX
ap-7699	549	28	well	well	ADV
ap-7699	549	29	known	known	ADJ
ap-7699	549	30	[	[	X
ap-7699	549	31	41	41	NUM
ap-7699	549	32	]	]	PUNCT
ap-7699	549	33	and	and	CCONJ
ap-7699	549	34	can	can	AUX
ap-7699	549	35	be	be	AUX
ap-7699	549	36	easily	easily	ADV
ap-7699	549	37	found	find	VERB
ap-7699	549	38	.	.	PUNCT
ap-7699	550	1	again	again	ADV
ap-7699	550	2	,	,	PUNCT
ap-7699	550	3	for	for	ADP
ap-7699	550	4	the	the	DET
ap-7699	550	5	final	final	ADJ
ap-7699	550	6	results	result	NOUN
ap-7699	550	7	for	for	ADP
ap-7699	550	8	tr	tr	SYM
ap-7699	550	9	ln	ln	ADJ
ap-7699	550	10	ŷ	ŷ	NUM
ap-7699	550	11	all	all	DET
ap-7699	550	12	three	three	NUM
ap-7699	550	13	methods	method	NOUN
ap-7699	550	14	presented	present	VERB
ap-7699	550	15	here	here	ADV
ap-7699	550	16	agree	agree	VERB
ap-7699	550	17	to	to	ADP
ap-7699	550	18	the	the	DET
ap-7699	550	19	order	order	NOUN
ap-7699	550	20	of	of	ADP
ap-7699	550	21	terms	term	NOUN
ap-7699	550	22	quadratic	quadratic	ADJ
ap-7699	550	23	in	in	ADP
ap-7699	550	24	curvatures	curvature	NOUN
ap-7699	550	25	r.	r.	NOUN
ap-7699	550	26	(	(	PUNCT
ap-7699	550	27	4	4	NUM
ap-7699	550	28	.	.	PUNCT
ap-7699	550	29	)	)	PUNCT
ap-7699	551	1	in	in	ADP
ap-7699	551	2	total	total	ADJ
ap-7699	551	3	divergent	divergent	ADJ
ap-7699	551	4	part	part	NOUN
ap-7699	551	5	γdiv	γdiv	PROPN
ap-7699	551	6	of	of	ADP
ap-7699	551	7	the	the	DET
ap-7699	551	8	quantum	quantum	ADJ
ap-7699	551	9	effective	effective	ADJ
ap-7699	551	10	action	action	NOUN
ap-7699	551	11	,	,	PUNCT
ap-7699	551	12	we	we	PRON
ap-7699	551	13	checked	check	VERB
ap-7699	551	14	a	a	DET
ap-7699	551	15	complete	complete	ADJ
ap-7699	551	16	cancellation	cancellation	NOUN
ap-7699	551	17	of	of	ADP
ap-7699	551	18	terms	term	NOUN
ap-7699	551	19	with	with	ADP
ap-7699	551	20	poles	pole	NOUN
ap-7699	551	21	in	in	ADP
ap-7699	551	22	y	y	PROPN
ap-7699	551	23	=	=	PUNCT
ap-7699	551	24	2ωc	2ωc	NOUN
ap-7699	552	1	−	−	PROPN
ap-7699	552	2	3ωr	3ωr	ADJ
ap-7699	552	3	variable	variable	NOUN
ap-7699	552	4	,	,	PUNCT
ap-7699	552	5	namely	namely	ADV
ap-7699	552	6	all	all	DET
ap-7699	552	7	terms	term	NOUN
ap-7699	552	8	with	with	ADP
ap-7699	552	9	1	1	NUM
ap-7699	552	10	y	y	NOUN
ap-7699	552	11	and	and	CCONJ
ap-7699	552	12	1	1	NUM
ap-7699	552	13	y2	y2	NOUN
ap-7699	552	14	in	in	ADP
ap-7699	552	15	denominators	denominator	NOUN
ap-7699	552	16	(	(	PUNCT
ap-7699	552	17	originating	originate	VERB
ap-7699	552	18	from	from	ADP
ap-7699	552	19	the	the	DET
ap-7699	552	20	expression	expression	NOUN
ap-7699	552	21	for	for	ADP
ap-7699	552	22	the	the	DET
ap-7699	552	23	gauge	gauge	NOUN
ap-7699	552	24	-	-	PUNCT
ap-7699	552	25	fixing	fix	VERB
ap-7699	552	26	parameter	parameter	NOUN
ap-7699	552	27	β	β	X
ap-7699	552	28	in	in	ADP
ap-7699	552	29	(	(	PUNCT
ap-7699	552	30	21	21	NUM
ap-7699	552	31	)	)	PUNCT
ap-7699	552	32	)	)	PUNCT
ap-7699	552	33	completely	completely	ADV
ap-7699	552	34	cancel	cancel	VERB
ap-7699	552	35	out	out	ADP
ap-7699	552	36	.	.	PUNCT
ap-7699	553	1	this	this	PRON
ap-7699	553	2	is	be	AUX
ap-7699	553	3	not	not	PART
ap-7699	553	4	a	a	DET
ap-7699	553	5	trivial	trivial	ADJ
ap-7699	553	6	cancellation	cancellation	NOUN
ap-7699	553	7	between	between	ADP
ap-7699	553	8	the	the	DET
ap-7699	553	9	results	result	NOUN
ap-7699	553	10	of	of	ADP
ap-7699	553	11	the	the	DET
ap-7699	553	12	following	follow	VERB
ap-7699	553	13	traces	trace	NOUN
ap-7699	553	14	:	:	PUNCT
ap-7699	553	15	tr	tr	PUNCT
ap-7699	553	16	ln	ln	ADJ
ap-7699	553	17	ĥ	ĥ	PUNCT
ap-7699	553	18	and	and	CCONJ
ap-7699	553	19	tr	tr	NOUN
ap-7699	553	20	ln	ln	ADJ
ap-7699	553	21	m̂	m̂	PROPN
ap-7699	553	22	.	.	PUNCT
ap-7699	554	1	(	(	PUNCT
ap-7699	554	2	5	5	NUM
ap-7699	554	3	.	.	PUNCT
ap-7699	554	4	)	)	PUNCT
ap-7699	554	5	finally	finally	ADV
ap-7699	554	6	,	,	PUNCT
ap-7699	554	7	using	use	VERB
ap-7699	554	8	the	the	DET
ap-7699	554	9	same	same	ADJ
ap-7699	554	10	code	code	NOUN
ap-7699	554	11	written	write	VERB
ap-7699	554	12	in	in	ADP
ap-7699	554	13	mathematica	mathematica	PROPN
ap-7699	554	14	[	[	X
ap-7699	554	15	47	47	NUM
ap-7699	554	16	]	]	PUNCT
ap-7699	554	17	a	a	DET
ap-7699	554	18	similar	similar	ADJ
ap-7699	554	19	computation	computation	NOUN
ap-7699	554	20	in	in	ADP
ap-7699	554	21	four	four	NUM
ap-7699	554	22	-	-	PUNCT
ap-7699	554	23	derivative	derivative	ADJ
ap-7699	554	24	gravitational	gravitational	ADJ
ap-7699	554	25	theory	theory	NOUN
ap-7699	554	26	(	(	PUNCT
ap-7699	554	27	stelle	stelle	PROPN
ap-7699	554	28	theory	theory	NOUN
ap-7699	554	29	in	in	ADP
ap-7699	554	30	four	four	NUM
ap-7699	554	31	dimensions	dimension	NOUN
ap-7699	554	32	)	)	PUNCT
ap-7699	554	33	was	be	AUX
ap-7699	554	34	repeated	repeat	VERB
ap-7699	554	35	.	.	PUNCT
ap-7699	555	1	we	we	PRON
ap-7699	555	2	easily	easily	ADV
ap-7699	555	3	were	be	AUX
ap-7699	555	4	able	able	ADJ
ap-7699	555	5	to	to	PART
ap-7699	555	6	reproduce	reproduce	VERB
ap-7699	555	7	all	all	DET
ap-7699	555	8	results	result	NOUN
ap-7699	555	9	about	about	ADP
ap-7699	555	10	one	one	NUM
ap-7699	555	11	-	-	PUNCT
ap-7699	555	12	loop	loop	NOUN
ap-7699	555	13	uv	uv	NOUN
ap-7699	555	14	divergences	divergence	NOUN
ap-7699	555	15	there	there	ADV
ap-7699	555	16	[	[	X
ap-7699	555	17	42	42	NUM
ap-7699	555	18	]	]	PUNCT
ap-7699	555	19	.	.	PUNCT
ap-7699	556	1	to	to	ADP
ap-7699	556	2	our	our	PRON
ap-7699	556	3	satisfaction	satisfaction	NOUN
ap-7699	556	4	,	,	PUNCT
ap-7699	556	5	we	we	PRON
ap-7699	556	6	found	find	VERB
ap-7699	556	7	a	a	DET
ap-7699	556	8	complete	complete	ADJ
ap-7699	556	9	agreement	agreement	NOUN
ap-7699	556	10	for	for	ADP
ap-7699	556	11	all	all	DET
ap-7699	556	12	the	the	DET
ap-7699	556	13	coefficients	coefficient	NOUN
ap-7699	556	14	and	and	CCONJ
ap-7699	556	15	the	the	DET
ap-7699	556	16	same	same	ADJ
ap-7699	556	17	nontrivial	nontrivial	ADJ
ap-7699	556	18	dependence	dependence	NOUN
ap-7699	556	19	on	on	ADP
ap-7699	556	20	the	the	DET
ap-7699	556	21	parameter	parameter	NOUN
ap-7699	556	22	x4−der	x4−der	PROPN
ap-7699	556	23	,	,	PUNCT
ap-7699	556	24	which	which	PRON
ap-7699	556	25	was	be	AUX
ap-7699	556	26	already	already	ADV
ap-7699	556	27	defined	define	VERB
ap-7699	556	28	above	above	ADP
ap-7699	556	29	for	for	ADP
ap-7699	556	30	stelle	stelle	NOUN
ap-7699	556	31	gravity	gravity	NOUN
ap-7699	556	32	.	.	PUNCT
ap-7699	557	1	this	this	PRON
ap-7699	557	2	was	be	AUX
ap-7699	557	3	the	the	DET
ap-7699	557	4	final	final	ADJ
ap-7699	557	5	check	check	NOUN
ap-7699	557	6	.	.	PUNCT
ap-7699	558	1	4	4	X
ap-7699	558	2	.	.	X
ap-7699	558	3	structure	structure	NOUN
ap-7699	558	4	of	of	ADP
ap-7699	558	5	beta	beta	NOUN
ap-7699	558	6	functions	function	NOUN
ap-7699	558	7	in	in	ADP
ap-7699	558	8	six	six	NUM
ap-7699	558	9	-	-	PUNCT
ap-7699	558	10	derivative	derivative	ADJ
ap-7699	558	11	quantum	quantum	NOUN
ap-7699	558	12	gravity	gravity	NOUN
ap-7699	558	13	4.1	4.1	NUM
ap-7699	558	14	.	.	PUNCT
ap-7699	559	1	limiting	limit	VERB
ap-7699	559	2	cases	case	NOUN
ap-7699	559	3	in	in	ADP
ap-7699	559	4	this	this	DET
ap-7699	559	5	subsection	subsection	NOUN
ap-7699	559	6	,	,	PUNCT
ap-7699	559	7	we	we	PRON
ap-7699	559	8	discuss	discuss	VERB
ap-7699	559	9	various	various	ADJ
ap-7699	559	10	limiting	limit	VERB
ap-7699	559	11	cases	case	NOUN
ap-7699	559	12	of	of	ADP
ap-7699	559	13	higher	high	ADJ
ap-7699	559	14	-	-	PUNCT
ap-7699	559	15	derivative	derivative	ADJ
ap-7699	559	16	gravitational	gravitational	ADJ
ap-7699	559	17	theories	theory	NOUN
ap-7699	559	18	(	(	PUNCT
ap-7699	559	19	both	both	CCONJ
ap-7699	559	20	with	with	ADP
ap-7699	559	21	133	133	NUM
ap-7699	559	22	lesław	lesław	ADJ
ap-7699	559	23	rachwał	rachwał	PROPN
ap-7699	559	24	acta	acta	PROPN
ap-7699	559	25	polytechnica	polytechnica	PROPN
ap-7699	559	26	four	four	NUM
ap-7699	559	27	and	and	CCONJ
ap-7699	559	28	six	six	NUM
ap-7699	559	29	derivatives	derivative	NOUN
ap-7699	559	30	)	)	PUNCT
ap-7699	559	31	.	.	PUNCT
ap-7699	560	1	we	we	PRON
ap-7699	560	2	study	study	VERB
ap-7699	560	3	in	in	ADP
ap-7699	560	4	detail	detail	NOUN
ap-7699	560	5	the	the	DET
ap-7699	560	6	situation	situation	NOUN
ap-7699	560	7	when	when	SCONJ
ap-7699	560	8	some	some	PRON
ap-7699	560	9	of	of	ADP
ap-7699	560	10	the	the	DET
ap-7699	560	11	coefficients	coefficient	NOUN
ap-7699	560	12	of	of	ADP
ap-7699	560	13	action	action	NOUN
ap-7699	560	14	terms	term	NOUN
ap-7699	560	15	in	in	ADP
ap-7699	560	16	the	the	DET
ap-7699	560	17	weyl	weyl	VERB
ap-7699	560	18	basis	basis	NOUN
ap-7699	560	19	tend	tend	VERB
ap-7699	560	20	to	to	ADP
ap-7699	560	21	zero	zero	NUM
ap-7699	560	22	.	.	PUNCT
ap-7699	561	1	we	we	PRON
ap-7699	561	2	comment	comment	VERB
ap-7699	561	3	whether	whether	SCONJ
ap-7699	561	4	in	in	ADP
ap-7699	561	5	such	such	ADJ
ap-7699	561	6	cases	case	NOUN
ap-7699	561	7	our	our	PRON
ap-7699	561	8	method	method	NOUN
ap-7699	561	9	of	of	ADP
ap-7699	561	10	computation	computation	NOUN
ap-7699	561	11	is	be	AUX
ap-7699	561	12	still	still	ADV
ap-7699	561	13	valid	valid	ADJ
ap-7699	561	14	and	and	CCONJ
ap-7699	561	15	whether	whether	SCONJ
ap-7699	561	16	the	the	DET
ap-7699	561	17	final	final	ADJ
ap-7699	561	18	results	result	NOUN
ap-7699	561	19	for	for	ADP
ap-7699	561	20	uv	uv	NOUN
ap-7699	561	21	divergences	divergence	NOUN
ap-7699	561	22	are	be	AUX
ap-7699	561	23	correct	correct	ADJ
ap-7699	561	24	in	in	ADP
ap-7699	561	25	that	that	DET
ap-7699	561	26	cases	case	NOUN
ap-7699	561	27	and	and	CCONJ
ap-7699	561	28	whether	whether	SCONJ
ap-7699	561	29	they	they	PRON
ap-7699	561	30	could	could	AUX
ap-7699	561	31	be	be	AUX
ap-7699	561	32	obtained	obtain	VERB
ap-7699	561	33	by	by	ADP
ap-7699	561	34	continuous	continuous	ADJ
ap-7699	561	35	limit	limit	NOUN
ap-7699	561	36	procedures	procedure	NOUN
ap-7699	561	37	.	.	PUNCT
ap-7699	562	1	first	first	ADV
ap-7699	562	2	,	,	PUNCT
ap-7699	562	3	we	we	PRON
ap-7699	562	4	discuss	discuss	VERB
ap-7699	562	5	the	the	DET
ap-7699	562	6	situation	situation	NOUN
ap-7699	562	7	with	with	ADP
ap-7699	562	8	a	a	DET
ap-7699	562	9	possible	possible	ADJ
ap-7699	562	10	degeneracy	degeneracy	NOUN
ap-7699	562	11	of	of	ADP
ap-7699	562	12	the	the	DET
ap-7699	562	13	kinetic	kinetic	ADJ
ap-7699	562	14	operator	operator	NOUN
ap-7699	562	15	of	of	ADP
ap-7699	562	16	the	the	DET
ap-7699	562	17	theory	theory	NOUN
ap-7699	562	18	acting	act	VERB
ap-7699	562	19	between	between	ADP
ap-7699	562	20	quantum	quantum	NOUN
ap-7699	562	21	metric	metric	ADJ
ap-7699	562	22	fluctuations	fluctuation	NOUN
ap-7699	562	23	hµν	hµν	VERB
ap-7699	562	24	on	on	ADP
ap-7699	562	25	the	the	DET
ap-7699	562	26	level	level	NOUN
ap-7699	562	27	of	of	ADP
ap-7699	562	28	the	the	DET
ap-7699	562	29	quadratized	quadratize	VERB
ap-7699	562	30	action	action	NOUN
ap-7699	562	31	.	.	PUNCT
ap-7699	563	1	if	if	SCONJ
ap-7699	563	2	the	the	DET
ap-7699	563	3	action	action	NOUN
ap-7699	563	4	of	of	ADP
ap-7699	563	5	a	a	DET
ap-7699	563	6	theory	theory	NOUN
ap-7699	563	7	in	in	ADP
ap-7699	563	8	the	the	DET
ap-7699	563	9	uv	uv	NOUN
ap-7699	563	10	regime	regime	NOUN
ap-7699	563	11	has	have	VERB
ap-7699	563	12	the	the	DET
ap-7699	563	13	following	follow	VERB
ap-7699	563	14	uv	uv	NOUN
ap-7699	563	15	-	-	PUNCT
ap-7699	563	16	leading	lead	VERB
ap-7699	563	17	terms	term	NOUN
ap-7699	563	18	sgrav	sgrav	ADJ
ap-7699	563	19	=	=	SYM
ap-7699	563	20	∫	∫	PROPN
ap-7699	563	21	ddx	ddx	PROPN
ap-7699	563	22	√	√	PROPN
ap-7699	563	23	|g|	|g|	PROPN
ap-7699	563	24	(	(	PUNCT
ap-7699	563	25	ωc	ωc	PROPN
ap-7699	563	26	,	,	PUNCT
ap-7699	563	27	n	n	NOUN
ap-7699	563	28	c	c	NOUN
ap-7699	563	29	□	□	X
ap-7699	563	30	n	n	PRON
ap-7699	563	31	c	c	NOUN
ap-7699	563	32	+	+	CCONJ
ap-7699	563	33	ωr	ωr	ADJ
ap-7699	563	34	,	,	PUNCT
ap-7699	563	35	n	n	CCONJ
ap-7699	563	36	r	r	NOUN
ap-7699	563	37	□	□	PROPN
ap-7699	563	38	n	n	PRON
ap-7699	563	39	r	r	NOUN
ap-7699	563	40	)	)	PUNCT
ap-7699	563	41	,	,	PUNCT
ap-7699	563	42	(	(	PUNCT
ap-7699	563	43	44	44	NUM
ap-7699	563	44	)	)	PUNCT
ap-7699	563	45	with	with	ADP
ap-7699	563	46	ωc	ωc	ADP
ap-7699	563	47	,	,	PUNCT
ap-7699	563	48	n	n	NOUN
ap-7699	563	49	=	=	NOUN
ap-7699	563	50	̸	̸	NUM
ap-7699	563	51	0	0	PUNCT
ap-7699	563	52	and	and	CCONJ
ap-7699	563	53	also	also	ADV
ap-7699	563	54	ωr	ωr	VERB
ap-7699	563	55	,	,	PUNCT
ap-7699	563	56	n	n	CCONJ
ap-7699	563	57	̸=	̸=	PROPN
ap-7699	563	58	0	0	NUM
ap-7699	563	59	and	and	CCONJ
ap-7699	563	60	after	after	ADP
ap-7699	563	61	adding	add	VERB
ap-7699	563	62	the	the	DET
ap-7699	563	63	proper	proper	ADJ
ap-7699	563	64	gauge	gauge	NOUN
ap-7699	563	65	-	-	PUNCT
ap-7699	563	66	fixing	fix	VERB
ap-7699	563	67	functional	functional	ADJ
ap-7699	563	68	,	,	PUNCT
ap-7699	563	69	then	then	ADV
ap-7699	563	70	the	the	DET
ap-7699	563	71	kinetic	kinetic	ADJ
ap-7699	563	72	operator	operator	NOUN
ap-7699	563	73	can	can	AUX
ap-7699	563	74	be	be	AUX
ap-7699	563	75	defined	define	VERB
ap-7699	563	76	,	,	PUNCT
ap-7699	563	77	so	so	CCONJ
ap-7699	563	78	in	in	ADP
ap-7699	563	79	these	these	DET
ap-7699	563	80	circumstances	circumstance	NOUN
ap-7699	563	81	it	it	PRON
ap-7699	563	82	is	be	AUX
ap-7699	563	83	not	not	PART
ap-7699	563	84	degenerate	degenerate	ADJ
ap-7699	563	85	.	.	PUNCT
ap-7699	564	1	then	then	ADV
ap-7699	564	2	it	it	PRON
ap-7699	564	3	constitutes	constitute	VERB
ap-7699	564	4	the	the	DET
ap-7699	564	5	operatorial	operatorial	ADJ
ap-7699	564	6	kernel	kernel	NOUN
ap-7699	564	7	of	of	ADP
ap-7699	564	8	the	the	DET
ap-7699	564	9	part	part	NOUN
ap-7699	564	10	of	of	ADP
ap-7699	564	11	the	the	DET
ap-7699	564	12	action	action	NOUN
ap-7699	564	13	which	which	PRON
ap-7699	564	14	is	be	AUX
ap-7699	564	15	quadratic	quadratic	ADJ
ap-7699	564	16	in	in	ADP
ap-7699	564	17	the	the	DET
ap-7699	564	18	fluctuation	fluctuation	NOUN
ap-7699	564	19	fields	field	NOUN
ap-7699	564	20	.	.	PUNCT
ap-7699	565	1	it	it	PRON
ap-7699	565	2	can	can	AUX
ap-7699	565	3	be	be	AUX
ap-7699	565	4	well	well	ADV
ap-7699	565	5	-	-	PUNCT
ap-7699	565	6	defined	define	VERB
ap-7699	565	7	not	not	PART
ap-7699	565	8	only	only	ADV
ap-7699	565	9	for	for	ADP
ap-7699	565	10	the	the	DET
ap-7699	565	11	cases	case	NOUN
ap-7699	565	12	when	when	SCONJ
ap-7699	565	13	ωc	ωc	X
ap-7699	565	14	,	,	PUNCT
ap-7699	565	15	n	n	PRON
ap-7699	565	16	̸=	̸=	PROPN
ap-7699	565	17	0	0	NUM
ap-7699	565	18	and	and	CCONJ
ap-7699	565	19	ωr	ωr	ADJ
ap-7699	565	20	,	,	PUNCT
ap-7699	565	21	n	n	CCONJ
ap-7699	565	22	̸=	̸=	PROPN
ap-7699	565	23	0	0	NUM
ap-7699	565	24	,	,	PUNCT
ap-7699	565	25	but	but	CCONJ
ap-7699	565	26	also	also	ADV
ap-7699	565	27	when	when	SCONJ
ap-7699	565	28	ωr	ωr	ADP
ap-7699	565	29	,	,	PUNCT
ap-7699	565	30	n	n	NOUN
ap-7699	565	31	=	=	SYM
ap-7699	565	32	0	0	NUM
ap-7699	565	33	.	.	PUNCT
ap-7699	566	1	this	this	DET
ap-7699	566	2	last	last	ADJ
ap-7699	566	3	assertion	assertion	NOUN
ap-7699	566	4	one	one	PRON
ap-7699	566	5	can	can	AUX
ap-7699	566	6	check	check	VERB
ap-7699	566	7	by	by	ADP
ap-7699	566	8	explicit	explicit	ADJ
ap-7699	566	9	inspection	inspection	NOUN
ap-7699	566	10	,	,	PUNCT
ap-7699	566	11	but	but	CCONJ
ap-7699	566	12	due	due	ADP
ap-7699	566	13	to	to	ADP
ap-7699	566	14	the	the	DET
ap-7699	566	15	length	length	NOUN
ap-7699	566	16	of	of	ADP
ap-7699	566	17	the	the	DET
ap-7699	566	18	resulting	result	VERB
ap-7699	566	19	expression	expression	NOUN
ap-7699	566	20	we	we	PRON
ap-7699	566	21	decided	decide	VERB
ap-7699	566	22	not	not	PART
ap-7699	566	23	to	to	PART
ap-7699	566	24	include	include	VERB
ap-7699	566	25	such	such	DET
ap-7699	566	26	a	a	DET
ap-7699	566	27	bulky	bulky	ADJ
ap-7699	566	28	formula	formula	NOUN
ap-7699	566	29	here	here	ADV
ap-7699	566	30	.	.	PUNCT
ap-7699	567	1	however	however	ADV
ap-7699	567	2	,	,	PUNCT
ap-7699	567	3	in	in	ADP
ap-7699	567	4	the	the	DET
ap-7699	567	5	case	case	NOUN
ap-7699	567	6	ωc	ωc	ADP
ap-7699	567	7	,	,	PUNCT
ap-7699	567	8	n	n	NOUN
ap-7699	567	9	=	=	SYM
ap-7699	567	10	0	0	NUM
ap-7699	567	11	,	,	PUNCT
ap-7699	567	12	a	a	DET
ap-7699	567	13	special	special	ADJ
ap-7699	567	14	procedure	procedure	NOUN
ap-7699	567	15	must	must	AUX
ap-7699	567	16	be	be	AUX
ap-7699	567	17	used	use	VERB
ap-7699	567	18	to	to	PART
ap-7699	567	19	define	define	VERB
ap-7699	567	20	the	the	DET
ap-7699	567	21	theory	theory	NOUN
ap-7699	567	22	of	of	ADP
ap-7699	567	23	perturbations	perturbation	NOUN
ap-7699	567	24	and	and	CCONJ
ap-7699	567	25	to	to	PART
ap-7699	567	26	extract	extract	VERB
ap-7699	567	27	uv	uv	NOUN
ap-7699	567	28	divergences	divergence	NOUN
ap-7699	567	29	of	of	ADP
ap-7699	567	30	the	the	DET
ap-7699	567	31	model	model	NOUN
ap-7699	567	32	.	.	PUNCT
ap-7699	568	1	we	we	PRON
ap-7699	568	2	remark	remark	VERB
ap-7699	568	3	that	that	SCONJ
ap-7699	568	4	in	in	ADP
ap-7699	568	5	the	the	DET
ap-7699	568	6	last	last	ADJ
ap-7699	568	7	case	case	NOUN
ap-7699	568	8	the	the	DET
ap-7699	568	9	theory	theory	NOUN
ap-7699	568	10	is	be	AUX
ap-7699	568	11	non	non	ADJ
ap-7699	568	12	-	-	ADJ
ap-7699	568	13	renormalizable	renormalizable	ADJ
ap-7699	568	14	.	.	PUNCT
ap-7699	569	1	we	we	PRON
ap-7699	569	2	also	also	ADV
ap-7699	569	3	emphasize	emphasize	VERB
ap-7699	569	4	that	that	SCONJ
ap-7699	569	5	the	the	DET
ap-7699	569	6	addition	addition	NOUN
ap-7699	569	7	of	of	ADP
ap-7699	569	8	the	the	DET
ap-7699	569	9	gauge	gauge	NOUN
ap-7699	569	10	-	-	PUNCT
ap-7699	569	11	fixing	fix	VERB
ap-7699	569	12	functional	functional	ADJ
ap-7699	569	13	here	here	ADV
ap-7699	569	14	is	be	AUX
ap-7699	569	15	necessary	necessary	ADJ
ap-7699	569	16	since	since	SCONJ
ap-7699	569	17	without	without	ADP
ap-7699	569	18	it	it	PRON
ap-7699	569	19	the	the	DET
ap-7699	569	20	kinetic	kinetic	ADJ
ap-7699	569	21	operator	operator	NOUN
ap-7699	569	22	(	(	PUNCT
ap-7699	569	23	hessian	hessian	NOUN
ap-7699	569	24	)	)	PUNCT
ap-7699	569	25	is	be	AUX
ap-7699	569	26	automatically	automatically	ADV
ap-7699	569	27	degenerate	degenerate	ADJ
ap-7699	569	28	as	as	ADP
ap-7699	569	29	the	the	DET
ap-7699	569	30	result	result	NOUN
ap-7699	569	31	of	of	ADP
ap-7699	569	32	gauge	gauge	ADJ
ap-7699	569	33	invariance	invariance	NOUN
ap-7699	569	34	of	of	ADP
ap-7699	569	35	the	the	DET
ap-7699	569	36	theory	theory	NOUN
ap-7699	569	37	(	(	PUNCT
ap-7699	569	38	here	here	ADV
ap-7699	569	39	in	in	ADP
ap-7699	569	40	gravitational	gravitational	ADJ
ap-7699	569	41	setup	setup	NOUN
ap-7699	569	42	represented	represent	VERB
ap-7699	569	43	by	by	ADP
ap-7699	569	44	the	the	DET
ap-7699	569	45	diffeomorphism	diffeomorphism	NOUN
ap-7699	569	46	gauge	gauge	NOUN
ap-7699	569	47	symmetry	symmetry	NOUN
ap-7699	569	48	)	)	PUNCT
ap-7699	569	49	.	.	PUNCT
ap-7699	570	1	in	in	ADP
ap-7699	570	2	general	general	ADJ
ap-7699	570	3	,	,	PUNCT
ap-7699	570	4	as	as	SCONJ
ap-7699	570	5	emphasized	emphasize	VERB
ap-7699	570	6	in	in	ADP
ap-7699	570	7	[	[	X
ap-7699	570	8	26	26	NUM
ap-7699	570	9	]	]	PUNCT
ap-7699	570	10	,	,	PUNCT
ap-7699	570	11	in	in	ADP
ap-7699	570	12	four	four	NUM
ap-7699	570	13	spacetime	spacetime	NOUN
ap-7699	570	14	dimensions	dimension	NOUN
ap-7699	570	15	,	,	PUNCT
ap-7699	570	16	the	the	DET
ap-7699	570	17	general	general	ADJ
ap-7699	570	18	uv	uv	NOUN
ap-7699	570	19	divergences	divergence	NOUN
ap-7699	570	20	depend	depend	VERB
ap-7699	570	21	only	only	ADV
ap-7699	570	22	on	on	ADP
ap-7699	570	23	the	the	DET
ap-7699	570	24	coefficients	coefficient	NOUN
ap-7699	570	25	appearing	appear	VERB
ap-7699	570	26	in	in	ADP
ap-7699	570	27	the	the	DET
ap-7699	570	28	following	following	NOUN
ap-7699	570	29	uvleading	uvleade	VERB
ap-7699	570	30	part	part	NOUN
ap-7699	570	31	of	of	ADP
ap-7699	570	32	the	the	DET
ap-7699	570	33	gravitational	gravitational	ADJ
ap-7699	570	34	hd	hd	NOUN
ap-7699	570	35	action	action	NOUN
ap-7699	570	36	,	,	PUNCT
ap-7699	570	37	sgrav	sgrav	ADJ
ap-7699	570	38	=	=	SYM
ap-7699	570	39	∫	∫	PROPN
ap-7699	570	40	d4x	d4x	PROPN
ap-7699	570	41	√	√	PROPN
ap-7699	570	42	|g|	|g|	PROPN
ap-7699	570	43	(	(	PUNCT
ap-7699	570	44	ωc	ωc	PROPN
ap-7699	570	45	,	,	PUNCT
ap-7699	570	46	n	n	NOUN
ap-7699	570	47	c	c	NOUN
ap-7699	570	48	□	□	X
ap-7699	570	49	n	n	PRON
ap-7699	570	50	c	c	NOUN
ap-7699	570	51	+	+	CCONJ
ap-7699	570	52	ωr	ωr	ADJ
ap-7699	570	53	,	,	PUNCT
ap-7699	570	54	n	n	CCONJ
ap-7699	570	55	r	r	NOUN
ap-7699	570	56	□	□	PROPN
ap-7699	570	57	n	n	NOUN
ap-7699	570	58	r	r	NOUN
ap-7699	570	59	+	+	CCONJ
ap-7699	570	60	ωc	ωc	ADJ
ap-7699	570	61	,	,	PUNCT
ap-7699	570	62	n−1c	n−1c	NOUN
ap-7699	570	63	□	□	NOUN
ap-7699	570	64	n−1c	n−1c	NOUN
ap-7699	570	65	+	+	CCONJ
ap-7699	570	66	ωr	ωr	ADJ
ap-7699	570	67	,	,	PUNCT
ap-7699	570	68	n−1r	n−1r	X
ap-7699	570	69	□	□	NUM
ap-7699	570	70	n−1r	n−1r	NOUN
ap-7699	570	71	+	+	SYM
ap-7699	570	72	ωc	ωc	ADJ
ap-7699	570	73	,	,	PUNCT
ap-7699	570	74	n−2c	n−2c	ADV
ap-7699	570	75	□	□	NUM
ap-7699	570	76	n−2c	n−2c	ADV
ap-7699	570	77	+	+	CCONJ
ap-7699	570	78	ωr	ωr	ADJ
ap-7699	570	79	,	,	PUNCT
ap-7699	570	80	n−2r	n−2r	NOUN
ap-7699	570	81	□	□	NUM
ap-7699	570	82	n−2r	n−2r	NOUN
ap-7699	570	83	)	)	PUNCT
ap-7699	570	84	,	,	PUNCT
ap-7699	570	85	(	(	PUNCT
ap-7699	570	86	45	45	NUM
ap-7699	570	87	)	)	PUNCT
ap-7699	570	88	where	where	SCONJ
ap-7699	570	89	the	the	DET
ap-7699	570	90	last	last	ADJ
ap-7699	570	91	two	two	NUM
ap-7699	570	92	lines	line	NOUN
ap-7699	570	93	contain	contain	VERB
ap-7699	570	94	subleading	subleade	VERB
ap-7699	570	95	terms	term	NOUN
ap-7699	570	96	in	in	ADP
ap-7699	570	97	the	the	DET
ap-7699	570	98	uv	uv	NOUN
ap-7699	570	99	regime	regime	NOUN
ap-7699	570	100	.	.	PUNCT
ap-7699	571	1	however	however	ADV
ap-7699	571	2	,	,	PUNCT
ap-7699	571	3	they	they	PRON
ap-7699	571	4	are	be	AUX
ap-7699	571	5	the	the	DET
ap-7699	571	6	most	most	ADV
ap-7699	571	7	relevant	relevant	ADJ
ap-7699	571	8	for	for	SCONJ
ap-7699	571	9	the	the	DET
ap-7699	571	10	divergences	divergence	NOUN
ap-7699	571	11	proportional	proportional	ADJ
ap-7699	571	12	to	to	ADP
ap-7699	571	13	the	the	DET
ap-7699	571	14	ricci	ricci	PROPN
ap-7699	571	15	curvature	curvature	NOUN
ap-7699	571	16	scalar	scalar	ADJ
ap-7699	571	17	and	and	CCONJ
ap-7699	571	18	also	also	ADV
ap-7699	571	19	to	to	ADP
ap-7699	571	20	the	the	DET
ap-7699	571	21	cosmological	cosmological	ADJ
ap-7699	571	22	constant	constant	ADJ
ap-7699	571	23	term	term	NOUN
ap-7699	571	24	[	[	X
ap-7699	571	25	44	44	NUM
ap-7699	571	26	]	]	PUNCT
ap-7699	571	27	.	.	PUNCT
ap-7699	572	1	below	below	ADP
ap-7699	572	2	for	for	ADP
ap-7699	572	3	notational	notational	ADJ
ap-7699	572	4	convenience	convenience	NOUN
ap-7699	572	5	,	,	PUNCT
ap-7699	572	6	we	we	PRON
ap-7699	572	7	adopt	adopt	VERB
ap-7699	572	8	the	the	DET
ap-7699	572	9	following	follow	VERB
ap-7699	572	10	convention	convention	NOUN
ap-7699	572	11	specially	specially	ADV
ap-7699	572	12	suited	suit	VERB
ap-7699	572	13	for	for	ADP
ap-7699	572	14	six	six	NUM
ap-7699	572	15	-	-	PUNCT
ap-7699	572	16	derivative	derivative	ADJ
ap-7699	572	17	gravitational	gravitational	ADJ
ap-7699	572	18	theories	theory	NOUN
ap-7699	572	19	,	,	PUNCT
ap-7699	572	20	so	so	SCONJ
ap-7699	572	21	in	in	ADP
ap-7699	572	22	the	the	DET
ap-7699	572	23	case	case	NOUN
ap-7699	572	24	when	when	SCONJ
ap-7699	572	25	n	n	PROPN
ap-7699	572	26	=	=	SYM
ap-7699	572	27	1	1	X
ap-7699	572	28	.	.	PUNCT
ap-7699	572	29	we	we	PRON
ap-7699	572	30	will	will	AUX
ap-7699	572	31	call	call	VERB
ap-7699	572	32	coupling	coupling	NOUN
ap-7699	572	33	coefficients	coefficient	NOUN
ap-7699	572	34	in	in	ADP
ap-7699	572	35	front	front	NOUN
ap-7699	572	36	of	of	ADP
ap-7699	572	37	the	the	DET
ap-7699	572	38	leading	lead	VERB
ap-7699	572	39	terms	term	NOUN
ap-7699	572	40	as	as	ADP
ap-7699	572	41	respective	respective	ADJ
ap-7699	572	42	omega	omega	NOUN
ap-7699	572	43	coefficients	coefficient	NOUN
ap-7699	572	44	(	(	PUNCT
ap-7699	572	45	like	like	INTJ
ap-7699	572	46	ωc	ωc	X
ap-7699	572	47	=	=	SYM
ap-7699	572	48	ωc,1	ωc,1	PROPN
ap-7699	572	49	and	and	CCONJ
ap-7699	572	50	analogously	analogously	ADV
ap-7699	572	51	ωr	ωr	VERB
ap-7699	572	52	=	=	SYM
ap-7699	572	53	ωr,1	ωr,1	PROPN
ap-7699	572	54	)	)	PUNCT
ap-7699	572	55	,	,	PUNCT
ap-7699	572	56	while	while	SCONJ
ap-7699	572	57	the	the	DET
ap-7699	572	58	coefficients	coefficient	NOUN
ap-7699	572	59	of	of	ADP
ap-7699	572	60	the	the	DET
ap-7699	572	61	subleading	subleading	ADJ
ap-7699	572	62	terms	term	NOUN
ap-7699	572	63	with	with	ADP
ap-7699	572	64	four	four	NUM
ap-7699	572	65	derivatives	derivative	NOUN
ap-7699	572	66	we	we	PRON
ap-7699	572	67	will	will	AUX
ap-7699	572	68	denote	denote	VERB
ap-7699	572	69	as	as	ADP
ap-7699	572	70	theta	theta	NOUN
ap-7699	572	71	coefficients	coefficient	NOUN
ap-7699	572	72	(	(	PUNCT
ap-7699	572	73	like	like	ADP
ap-7699	572	74	θc	θc	NOUN
ap-7699	572	75	=	=	NOUN
ap-7699	572	76	ωc,0	ωc,0	PROPN
ap-7699	572	77	and	and	CCONJ
ap-7699	572	78	analogously	analogously	ADV
ap-7699	572	79	θr	θr	PRON
ap-7699	572	80	=	=	SYM
ap-7699	572	81	ωr,0	ωr,0	NOUN
ap-7699	572	82	)	)	PUNCT
ap-7699	572	83	.	.	PUNCT
ap-7699	573	1	eventually	eventually	ADV
ap-7699	573	2	,	,	PUNCT
ap-7699	573	3	for	for	ADP
ap-7699	573	4	the	the	DET
ap-7699	573	5	most	most	ADV
ap-7699	573	6	subleading	subleading	ADJ
ap-7699	573	7	terms	term	NOUN
ap-7699	573	8	with	with	ADP
ap-7699	573	9	subindex	subindex	NOUN
ap-7699	573	10	values	value	NOUN
ap-7699	573	11	of	of	ADP
ap-7699	573	12	(	(	PUNCT
ap-7699	573	13	n	n	CCONJ
ap-7699	573	14	−	−	PROPN
ap-7699	573	15	2	2	NUM
ap-7699	573	16	)	)	PUNCT
ap-7699	573	17	equal	equal	ADJ
ap-7699	573	18	formally	formally	ADV
ap-7699	573	19	to	to	PART
ap-7699	573	20	−1	−1	VERB
ap-7699	573	21	here	here	ADV
ap-7699	573	22	,	,	PUNCT
ap-7699	573	23	we	we	PRON
ap-7699	573	24	have	have	VERB
ap-7699	573	25	just	just	ADV
ap-7699	573	26	one	one	NUM
ap-7699	573	27	term	term	NOUN
ap-7699	573	28	contributing	contribute	VERB
ap-7699	573	29	to	to	ADP
ap-7699	573	30	the	the	DET
ap-7699	573	31	cosmological	cosmological	ADJ
ap-7699	573	32	constant	constant	ADJ
ap-7699	573	33	type	type	NOUN
ap-7699	573	34	of	of	ADP
ap-7699	573	35	uv	uv	NOUN
ap-7699	573	36	divergence	divergence	NOUN
ap-7699	573	37	.	.	PUNCT
ap-7699	574	1	we	we	PRON
ap-7699	574	2	denote	denote	VERB
ap-7699	574	3	this	this	DET
ap-7699	574	4	coefficient	coefficient	NOUN
ap-7699	574	5	as	as	ADP
ap-7699	574	6	ω−1	ω−1	NOUN
ap-7699	574	7	=	=	PUNCT
ap-7699	574	8	ωr,−1	ωr,−1	ADV
ap-7699	575	1	and	and	CCONJ
ap-7699	575	2	it	it	PRON
ap-7699	575	3	is	be	AUX
ap-7699	575	4	in	in	ADP
ap-7699	575	5	front	front	NOUN
ap-7699	575	6	of	of	ADP
ap-7699	575	7	the	the	DET
ap-7699	575	8	ricci	ricci	PROPN
ap-7699	575	9	scalar	scalar	ADJ
ap-7699	575	10	term	term	NOUN
ap-7699	575	11	in	in	ADP
ap-7699	575	12	the	the	DET
ap-7699	575	13	original	original	ADJ
ap-7699	575	14	classical	classical	ADJ
ap-7699	575	15	action	action	NOUN
ap-7699	575	16	of	of	ADP
ap-7699	575	17	the	the	DET
ap-7699	575	18	theory	theory	NOUN
ap-7699	575	19	(	(	PUNCT
ap-7699	575	20	6	6	NUM
ap-7699	575	21	)	)	PUNCT
ap-7699	575	22	.	.	PUNCT
ap-7699	576	1	simply	simply	ADV
ap-7699	576	2	this	this	DET
ap-7699	576	3	coefficient	coefficient	NOUN
ap-7699	576	4	ω−1	ω−1	NOUN
ap-7699	576	5	is	be	AUX
ap-7699	576	6	related	relate	VERB
ap-7699	576	7	to	to	ADP
ap-7699	576	8	the	the	DET
ap-7699	576	9	value	value	NOUN
ap-7699	576	10	of	of	ADP
ap-7699	576	11	the	the	DET
ap-7699	576	12	4	4	NUM
ap-7699	576	13	-	-	PUNCT
ap-7699	576	14	dimensional	dimensional	ADJ
ap-7699	576	15	gravitational	gravitational	ADJ
ap-7699	576	16	newton	newton	PROPN
ap-7699	576	17	’s	’s	PART
ap-7699	576	18	constant	constant	ADJ
ap-7699	576	19	gn	gn	PROPN
ap-7699	576	20	.	.	PUNCT
ap-7699	577	1	the	the	DET
ap-7699	577	2	expressions	expression	NOUN
ap-7699	577	3	for	for	ADP
ap-7699	577	4	the	the	DET
ap-7699	577	5	rg	rg	PROPN
ap-7699	577	6	running	running	NOUN
ap-7699	577	7	of	of	ADP
ap-7699	577	8	the	the	DET
ap-7699	577	9	cosmological	cosmological	ADJ
ap-7699	577	10	constant	constant	ADJ
ap-7699	577	11	and	and	CCONJ
ap-7699	577	12	the	the	DET
ap-7699	577	13	newton	newton	PROPN
ap-7699	577	14	’s	’s	PART
ap-7699	577	15	constant	constant	ADJ
ap-7699	577	16	in	in	ADP
ap-7699	577	17	[	[	X
ap-7699	577	18	26	26	NUM
ap-7699	577	19	,	,	PUNCT
ap-7699	577	20	44	44	NUM
ap-7699	577	21	]	]	PUNCT
ap-7699	577	22	contain	contain	VERB
ap-7699	577	23	various	various	ADJ
ap-7699	577	24	fractions	fraction	NOUN
ap-7699	577	25	of	of	ADP
ap-7699	577	26	parameters	parameter	NOUN
ap-7699	577	27	of	of	ADP
ap-7699	577	28	the	the	DET
ap-7699	577	29	theory	theory	NOUN
ap-7699	577	30	appearing	appear	VERB
ap-7699	577	31	in	in	ADP
ap-7699	577	32	the	the	DET
ap-7699	577	33	action	action	NOUN
ap-7699	577	34	(	(	PUNCT
ap-7699	577	35	45	45	NUM
ap-7699	577	36	)	)	PUNCT
ap-7699	577	37	.	.	PUNCT
ap-7699	578	1	still	still	ADV
ap-7699	578	2	,	,	PUNCT
ap-7699	578	3	for	for	ADP
ap-7699	578	4	a	a	DET
ap-7699	578	5	generic	generic	ADJ
ap-7699	578	6	value	value	NOUN
ap-7699	578	7	of	of	ADP
ap-7699	578	8	the	the	DET
ap-7699	578	9	integer	integer	NOUN
ap-7699	578	10	n	n	NOUN
ap-7699	578	11	,	,	PUNCT
ap-7699	578	12	giving	give	VERB
ap-7699	578	13	roughly	roughly	ADV
ap-7699	578	14	the	the	DET
ap-7699	578	15	half	half	NOUN
ap-7699	578	16	of	of	ADP
ap-7699	578	17	the	the	DET
ap-7699	578	18	order	order	NOUN
ap-7699	578	19	of	of	ADP
ap-7699	578	20	higher	high	ADJ
ap-7699	578	21	derivatives	derivative	NOUN
ap-7699	578	22	in	in	ADP
ap-7699	578	23	the	the	DET
ap-7699	578	24	model	model	NOUN
ap-7699	578	25	,	,	PUNCT
ap-7699	578	26	we	we	PRON
ap-7699	578	27	have	have	VERB
ap-7699	578	28	the	the	DET
ap-7699	578	29	following	follow	VERB
ap-7699	578	30	schematic	schematic	ADJ
ap-7699	578	31	structure	structure	NOUN
ap-7699	578	32	of	of	ADP
ap-7699	578	33	these	these	DET
ap-7699	578	34	fractions	fraction	NOUN
ap-7699	578	35	:	:	PUNCT
ap-7699	578	36	ωr	ωr	ADJ
ap-7699	578	37	,	,	PUNCT
ap-7699	578	38	n−1	n−1	PROPN
ap-7699	578	39	ωr	ωr	NOUN
ap-7699	578	40	,	,	PUNCT
ap-7699	578	41	n	n	CCONJ
ap-7699	578	42	,	,	PUNCT
ap-7699	578	43	ωc	ωc	ADP
ap-7699	578	44	,	,	PUNCT
ap-7699	578	45	n−1	n−1	PROPN
ap-7699	578	46	ωc	ωc	NOUN
ap-7699	578	47	,	,	PUNCT
ap-7699	578	48	n	n	CCONJ
ap-7699	578	49	,	,	PUNCT
ap-7699	578	50	ωr	ωr	PROPN
ap-7699	578	51	,	,	PUNCT
ap-7699	578	52	n−2	n−2	PROPN
ap-7699	578	53	ωr	ωr	NOUN
ap-7699	578	54	,	,	PUNCT
ap-7699	578	55	n	n	CCONJ
ap-7699	578	56	,	,	PUNCT
ap-7699	578	57	ωc	ωc	CCONJ
ap-7699	578	58	,	,	PUNCT
ap-7699	578	59	n−2	n−2	PROPN
ap-7699	578	60	ωc	ωc	NOUN
ap-7699	578	61	,	,	PUNCT
ap-7699	578	62	n	n	X
ap-7699	578	63	.	.	PUNCT
ap-7699	579	1	(	(	PUNCT
ap-7699	579	2	46	46	NUM
ap-7699	579	3	)	)	PUNCT
ap-7699	579	4	the	the	DET
ap-7699	579	5	structure	structure	NOUN
ap-7699	579	6	of	of	ADP
ap-7699	579	7	the	the	DET
ap-7699	579	8	uv	uv	NOUN
ap-7699	579	9	divergences	divergence	NOUN
ap-7699	579	10	and	and	CCONJ
ap-7699	579	11	of	of	ADP
ap-7699	579	12	these	these	DET
ap-7699	579	13	fractions	fraction	NOUN
ap-7699	579	14	can	can	AUX
ap-7699	579	15	be	be	AUX
ap-7699	579	16	easily	easily	ADV
ap-7699	579	17	understood	understand	VERB
ap-7699	579	18	from	from	ADP
ap-7699	579	19	the	the	DET
ap-7699	579	20	energy	energy	NOUN
ap-7699	579	21	dimensionality	dimensionality	NOUN
ap-7699	579	22	arguments	argument	NOUN
ap-7699	579	23	.	.	PUNCT
ap-7699	580	1	we	we	PRON
ap-7699	580	2	notice	notice	VERB
ap-7699	580	3	that	that	SCONJ
ap-7699	580	4	in	in	ADP
ap-7699	580	5	the	the	DET
ap-7699	580	6	weyl	weyl	ADJ
ap-7699	580	7	basis	basis	NOUN
ap-7699	580	8	with	with	ADP
ap-7699	580	9	terms	term	NOUN
ap-7699	580	10	in	in	ADP
ap-7699	580	11	(	(	PUNCT
ap-7699	580	12	45	45	NUM
ap-7699	580	13	)	)	PUNCT
ap-7699	580	14	written	write	VERB
ap-7699	580	15	with	with	ADP
ap-7699	580	16	weyl	weyl	VERB
ap-7699	580	17	tensors	tensor	NOUN
ap-7699	580	18	cµνρσ	cµνρσ	VERB
ap-7699	580	19	and	and	CCONJ
ap-7699	580	20	ricci	ricci	PROPN
ap-7699	580	21	scalars	scalar	VERB
ap-7699	580	22	r	r	VERB
ap-7699	580	23	the	the	DET
ap-7699	580	24	only	only	ADJ
ap-7699	580	25	fractions	fraction	NOUN
ap-7699	580	26	,	,	PUNCT
ap-7699	580	27	which	which	PRON
ap-7699	580	28	appear	appear	VERB
ap-7699	580	29	in	in	ADP
ap-7699	580	30	such	such	ADJ
ap-7699	580	31	subleading	subleade	VERB
ap-7699	580	32	uv	uv	NOUN
ap-7699	580	33	divergences	divergence	NOUN
ap-7699	580	34	are	be	AUX
ap-7699	580	35	“	"	PUNCT
ap-7699	580	36	diagonal	diagonal	ADJ
ap-7699	580	37	”	"	PUNCT
ap-7699	580	38	and	and	CCONJ
ap-7699	580	39	do	do	AUX
ap-7699	580	40	not	not	PART
ap-7699	580	41	mix	mix	VERB
ap-7699	580	42	terms	term	NOUN
ap-7699	580	43	from	from	ADP
ap-7699	580	44	the	the	DET
ap-7699	580	45	spin-2	spin-2	PROPN
ap-7699	580	46	(	(	PUNCT
ap-7699	580	47	weyl	weyl	PROPN
ap-7699	580	48	)	)	PUNCT
ap-7699	580	49	sector	sector	NOUN
ap-7699	580	50	with	with	ADP
ap-7699	580	51	terms	term	NOUN
ap-7699	580	52	from	from	ADP
ap-7699	580	53	the	the	DET
ap-7699	580	54	spin-0	spin-0	NUM
ap-7699	580	55	(	(	PUNCT
ap-7699	580	56	ricci	ricci	PROPN
ap-7699	580	57	scalar	scalar	ADJ
ap-7699	580	58	)	)	PUNCT
ap-7699	580	59	sector	sector	NOUN
ap-7699	580	60	.	.	PUNCT
ap-7699	581	1	if	if	SCONJ
ap-7699	581	2	in	in	ADP
ap-7699	581	3	any	any	PRON
ap-7699	581	4	of	of	ADP
ap-7699	581	5	the	the	DET
ap-7699	581	6	above	above	ADJ
ap-7699	581	7	fractions	fraction	NOUN
ap-7699	581	8	,	,	PUNCT
ap-7699	581	9	we	we	PRON
ap-7699	581	10	take	take	VERB
ap-7699	581	11	the	the	DET
ap-7699	581	12	limits	limit	NOUN
ap-7699	581	13	:	:	PUNCT
ap-7699	581	14	ωr	ωr	ADJ
ap-7699	581	15	,	,	PUNCT
ap-7699	581	16	n−1	n−1	PROPN
ap-7699	581	17	→	→	SYM
ap-7699	581	18	0	0	NUM
ap-7699	581	19	,	,	PUNCT
ap-7699	581	20	ωc	ωc	ADP
ap-7699	581	21	,	,	PUNCT
ap-7699	581	22	n−1	n−1	PROPN
ap-7699	581	23	→	→	SYM
ap-7699	581	24	0	0	NUM
ap-7699	581	25	,	,	PUNCT
ap-7699	581	26	ωr	ωr	ADP
ap-7699	581	27	,	,	PUNCT
ap-7699	581	28	n−2	n−2	PROPN
ap-7699	581	29	→	→	SYM
ap-7699	581	30	0	0	NUM
ap-7699	581	31	,	,	PUNCT
ap-7699	581	32	or	or	CCONJ
ap-7699	581	33	ωc	ωc	ADP
ap-7699	581	34	,	,	PUNCT
ap-7699	581	35	n−2	n−2	PROPN
ap-7699	581	36	→	→	SYM
ap-7699	581	37	0	0	NUM
ap-7699	581	38	,	,	PUNCT
ap-7699	581	39	then	then	ADV
ap-7699	581	40	the	the	DET
ap-7699	581	41	corresponding	correspond	VERB
ap-7699	581	42	fractions	fraction	NOUN
ap-7699	581	43	and	and	CCONJ
ap-7699	581	44	also	also	ADV
ap-7699	581	45	related	relate	VERB
ap-7699	581	46	uv	uv	NOUN
ap-7699	581	47	divergences	divergence	NOUN
ap-7699	581	48	(	(	PUNCT
ap-7699	581	49	and	and	CCONJ
ap-7699	581	50	resulting	result	VERB
ap-7699	581	51	beta	beta	ADJ
ap-7699	581	52	functions	function	NOUN
ap-7699	581	53	in	in	ADP
ap-7699	581	54	question	question	NOUN
ap-7699	581	55	)	)	PUNCT
ap-7699	581	56	simply	simply	ADV
ap-7699	581	57	vanish	vanish	VERB
ap-7699	581	58	,	,	PUNCT
ap-7699	581	59	provided	provide	VERB
ap-7699	581	60	that	that	SCONJ
ap-7699	581	61	the	the	DET
ap-7699	581	62	coefficients	coefficient	NOUN
ap-7699	581	63	in	in	ADP
ap-7699	581	64	their	their	PRON
ap-7699	581	65	denominators	denominator	NOUN
ap-7699	581	66	ωr	ωr	VERB
ap-7699	581	67	,	,	PUNCT
ap-7699	581	68	n	n	PROPN
ap-7699	581	69	and	and	CCONJ
ap-7699	581	70	ωc	ωc	ADV
ap-7699	581	71	,	,	PUNCT
ap-7699	581	72	n	n	PRON
ap-7699	581	73	are	be	AUX
ap-7699	581	74	non	non	ADJ
ap-7699	581	75	-	-	ADJ
ap-7699	581	76	zero	zero	NUM
ap-7699	581	77	.	.	PUNCT
ap-7699	582	1	on	on	ADP
ap-7699	582	2	the	the	DET
ap-7699	582	3	other	other	ADJ
ap-7699	582	4	hand	hand	NOUN
ap-7699	582	5	,	,	PUNCT
ap-7699	582	6	if	if	SCONJ
ap-7699	582	7	ωc	ωc	ADP
ap-7699	582	8	,	,	PUNCT
ap-7699	582	9	n	n	NOUN
ap-7699	582	10	=	=	SYM
ap-7699	582	11	0	0	NUM
ap-7699	582	12	,	,	PUNCT
ap-7699	582	13	then	then	ADV
ap-7699	582	14	we	we	PRON
ap-7699	582	15	can	can	AUX
ap-7699	582	16	not	not	PART
ap-7699	582	17	rely	rely	VERB
ap-7699	582	18	on	on	ADP
ap-7699	582	19	this	this	DET
ap-7699	582	20	limiting	limit	VERB
ap-7699	582	21	procedure	procedure	NOUN
ap-7699	582	22	.	.	PUNCT
ap-7699	583	1	in	in	ADP
ap-7699	583	2	this	this	DET
ap-7699	583	3	case	case	NOUN
ap-7699	583	4	,	,	PUNCT
ap-7699	583	5	on	on	ADP
ap-7699	583	6	the	the	DET
ap-7699	583	7	level	level	NOUN
ap-7699	583	8	of	of	ADP
ap-7699	583	9	the	the	DET
ap-7699	583	10	quadratized	quadratize	VERB
ap-7699	583	11	action	action	NOUN
ap-7699	583	12	the	the	DET
ap-7699	583	13	operator	operator	NOUN
ap-7699	583	14	between	between	ADP
ap-7699	583	15	quantum	quantum	NOUN
ap-7699	583	16	fluctuations	fluctuation	NOUN
ap-7699	583	17	is	be	AUX
ap-7699	583	18	degenerate	degenerate	ADJ
ap-7699	583	19	even	even	ADV
ap-7699	583	20	after	after	ADP
ap-7699	583	21	adding	add	VERB
ap-7699	583	22	the	the	DET
ap-7699	583	23	gauge	gauge	NOUN
ap-7699	583	24	-	-	PUNCT
ap-7699	583	25	fixing	fix	VERB
ap-7699	583	26	terms	term	NOUN
ap-7699	583	27	.	.	PUNCT
ap-7699	584	1	this	this	PRON
ap-7699	584	2	means	mean	VERB
ap-7699	584	3	that	that	SCONJ
ap-7699	584	4	in	in	ADP
ap-7699	584	5	this	this	DET
ap-7699	584	6	situation	situation	NOUN
ap-7699	584	7	a	a	DET
ap-7699	584	8	special	special	ADJ
ap-7699	584	9	procedure	procedure	NOUN
ap-7699	584	10	has	have	VERB
ap-7699	584	11	to	to	PART
ap-7699	584	12	be	be	AUX
ap-7699	584	13	used	use	VERB
ap-7699	584	14	to	to	PART
ap-7699	584	15	extract	extract	VERB
ap-7699	584	16	the	the	DET
ap-7699	584	17	uv	uv	NOUN
ap-7699	584	18	divergences	divergence	NOUN
ap-7699	584	19	of	of	ADP
ap-7699	584	20	the	the	DET
ap-7699	584	21	model	model	NOUN
ap-7699	584	22	.	.	PUNCT
ap-7699	585	1	this	this	PRON
ap-7699	585	2	is	be	AUX
ap-7699	585	3	possible	possible	ADJ
ap-7699	585	4	,	,	PUNCT
ap-7699	585	5	but	but	CCONJ
ap-7699	585	6	we	we	PRON
ap-7699	585	7	will	will	AUX
ap-7699	585	8	not	not	PART
ap-7699	585	9	discuss	discuss	VERB
ap-7699	585	10	it	it	PRON
ap-7699	585	11	here	here	ADV
ap-7699	585	12	.	.	PUNCT
ap-7699	586	1	it	it	PRON
ap-7699	586	2	is	be	AUX
ap-7699	586	3	worth	worth	ADJ
ap-7699	586	4	to	to	PART
ap-7699	586	5	notice	notice	VERB
ap-7699	586	6	that	that	SCONJ
ap-7699	586	7	in	in	ADP
ap-7699	586	8	turn	turn	NOUN
ap-7699	586	9	,	,	PUNCT
ap-7699	586	10	if	if	SCONJ
ap-7699	586	11	ωr	ωr	ADJ
ap-7699	586	12	,	,	PUNCT
ap-7699	586	13	n	n	NOUN
ap-7699	586	14	=	=	SYM
ap-7699	586	15	0	0	NUM
ap-7699	586	16	,	,	PUNCT
ap-7699	586	17	then	then	ADV
ap-7699	586	18	the	the	DET
ap-7699	586	19	kinetic	kinetic	ADJ
ap-7699	586	20	operator	operator	NOUN
ap-7699	586	21	for	for	ADP
ap-7699	586	22	small	small	ADJ
ap-7699	586	23	fluctuations	fluctuation	NOUN
ap-7699	586	24	and	and	CCONJ
ap-7699	586	25	after	after	ADP
ap-7699	586	26	adding	add	VERB
ap-7699	586	27	the	the	DET
ap-7699	586	28	gauge	gauge	NOUN
ap-7699	586	29	fixing	fixing	NOUN
ap-7699	586	30	is	be	AUX
ap-7699	586	31	still	still	ADV
ap-7699	586	32	well	well	ADV
ap-7699	586	33	-	-	PUNCT
ap-7699	586	34	defined	define	VERB
ap-7699	586	35	,	,	PUNCT
ap-7699	586	36	as	as	SCONJ
ap-7699	586	37	emphasized	emphasize	VERB
ap-7699	586	38	also	also	ADV
ap-7699	586	39	above	above	ADV
ap-7699	586	40	.	.	PUNCT
ap-7699	587	1	for	for	ADP
ap-7699	587	2	this	this	DET
ap-7699	587	3	case	case	NOUN
ap-7699	587	4	a	a	DET
ap-7699	587	5	special	special	ADJ
ap-7699	587	6	additional	additional	ADJ
ap-7699	587	7	kind	kind	NOUN
ap-7699	587	8	of	of	ADP
ap-7699	587	9	gauge	gauge	NOUN
ap-7699	587	10	fixing	fixing	NOUN
ap-7699	587	11	has	have	VERB
ap-7699	587	12	to	to	PART
ap-7699	587	13	be	be	AUX
ap-7699	587	14	used	use	VERB
ap-7699	587	15	,	,	PUNCT
ap-7699	587	16	which	which	PRON
ap-7699	587	17	fixes	fix	VERB
ap-7699	587	18	the	the	DET
ap-7699	587	19	value	value	NOUN
ap-7699	587	20	also	also	ADV
ap-7699	587	21	of	of	ADP
ap-7699	587	22	the	the	DET
ap-7699	587	23	trace	trace	NOUN
ap-7699	587	24	of	of	ADP
ap-7699	587	25	the	the	DET
ap-7699	587	26	metric	metric	ADJ
ap-7699	587	27	fluctuations	fluctuation	NOUN
ap-7699	587	28	h	h	NOUN
ap-7699	587	29	=	=	PUNCT
ap-7699	587	30	gµνhµν	gµνhµν	NOUN
ap-7699	587	31	and	and	CCONJ
ap-7699	587	32	this	this	DET
ap-7699	587	33	last	last	ADJ
ap-7699	587	34	one	one	NUM
ap-7699	587	35	in	in	ADP
ap-7699	587	36	the	the	DET
ap-7699	587	37	theory	theory	NOUN
ap-7699	587	38	with	with	ADP
ap-7699	587	39	n	n	NOUN
ap-7699	587	40	=	=	SYM
ap-7699	587	41	0	0	NUM
ap-7699	587	42	resembles	resemble	VERB
ap-7699	587	43	the	the	DET
ap-7699	587	44	conformal	conformal	ADJ
ap-7699	587	45	gauge	gauge	NOUN
ap-7699	587	46	fixing	fixing	NOUN
ap-7699	587	47	of	of	ADP
ap-7699	587	48	the	the	DET
ap-7699	587	49	trace	trace	NOUN
ap-7699	587	50	.	.	PUNCT
ap-7699	588	1	if	if	SCONJ
ap-7699	588	2	ωr	ωr	ADP
ap-7699	588	3	,	,	PUNCT
ap-7699	588	4	n	n	NOUN
ap-7699	588	5	=	=	SYM
ap-7699	588	6	0	0	NUM
ap-7699	588	7	and	and	CCONJ
ap-7699	588	8	additionally	additionally	ADV
ap-7699	588	9	ωr	ωr	VERB
ap-7699	588	10	,	,	PUNCT
ap-7699	588	11	n−1	n−1	PROPN
ap-7699	588	12	or	or	CCONJ
ap-7699	588	13	ωr	ωr	NOUN
ap-7699	588	14	,	,	PUNCT
ap-7699	588	15	n−2	n−2	PROPN
ap-7699	588	16	are	be	AUX
ap-7699	588	17	non	non	ADJ
ap-7699	588	18	-	-	ADJ
ap-7699	588	19	zero	zero	NUM
ap-7699	588	20	,	,	PUNCT
ap-7699	588	21	then	then	ADV
ap-7699	588	22	the	the	DET
ap-7699	588	23	corresponding	corresponding	ADJ
ap-7699	588	24	beta	beta	NOUN
ap-7699	588	25	functions	function	NOUN
ap-7699	588	26	for	for	ADP
ap-7699	588	27	the	the	DET
ap-7699	588	28	cosmological	cosmological	ADJ
ap-7699	588	29	constant	constant	ADJ
ap-7699	588	30	and	and	CCONJ
ap-7699	588	31	newton	newton	PROPN
ap-7699	588	32	’s	’s	PART
ap-7699	588	33	gravitational	gravitational	ADJ
ap-7699	588	34	constant	constant	NOUN
ap-7699	588	35	are	be	AUX
ap-7699	588	36	indeed	indeed	ADV
ap-7699	588	37	infinite	infinite	ADJ
ap-7699	588	38	and	and	CCONJ
ap-7699	588	39	ill	ill	ADV
ap-7699	588	40	-	-	PUNCT
ap-7699	588	41	defined	define	VERB
ap-7699	588	42	as	as	SCONJ
ap-7699	588	43	viewed	view	VERB
ap-7699	588	44	naively	naively	ADV
ap-7699	588	45	from	from	ADP
ap-7699	588	46	the	the	DET
ap-7699	588	47	expressions	expression	NOUN
ap-7699	588	48	in	in	ADP
ap-7699	588	49	(	(	PUNCT
ap-7699	588	50	46	46	NUM
ap-7699	588	51	)	)	PUNCT
ap-7699	588	52	.	.	PUNCT
ap-7699	589	1	this	this	DET
ap-7699	589	2	situation	situation	NOUN
ap-7699	589	3	could	could	AUX
ap-7699	589	4	be	be	AUX
ap-7699	589	5	understood	understand	VERB
ap-7699	589	6	as	as	SCONJ
ap-7699	589	7	that	that	SCONJ
ap-7699	589	8	there	there	PRON
ap-7699	589	9	is	be	VERB
ap-7699	589	10	an	an	DET
ap-7699	589	11	additional	additional	ADJ
ap-7699	589	12	new	new	ADJ
ap-7699	589	13	divergence	divergence	NOUN
ap-7699	589	14	not	not	PART
ap-7699	589	15	absorbed	absorb	VERB
ap-7699	589	16	in	in	ADP
ap-7699	589	17	the	the	DET
ap-7699	589	18	adopted	adopt	VERB
ap-7699	589	19	renormalization	renormalization	NOUN
ap-7699	589	20	scheme	scheme	NOUN
ap-7699	589	21	and	and	CCONJ
ap-7699	589	22	the	the	DET
ap-7699	589	23	renormalizability	renormalizability	NOUN
ap-7699	589	24	of	of	ADP
ap-7699	589	25	such	such	DET
ap-7699	589	26	a	a	DET
ap-7699	589	27	theory	theory	NOUN
ap-7699	589	28	is	be	AUX
ap-7699	589	29	likely	likely	ADV
ap-7699	589	30	lost	lose	VERB
ap-7699	589	31	.	.	PUNCT
ap-7699	590	1	but	but	CCONJ
ap-7699	590	2	if	if	SCONJ
ap-7699	590	3	the	the	DET
ap-7699	590	4	model	model	NOUN
ap-7699	590	5	is	be	AUX
ap-7699	590	6	with	with	ADP
ap-7699	590	7	ωr	ωr	NOUN
ap-7699	590	8	,	,	PUNCT
ap-7699	590	9	n	n	NOUN
ap-7699	590	10	=	=	SYM
ap-7699	590	11	0	0	NUM
ap-7699	590	12	and	and	CCONJ
ap-7699	590	13	at	at	ADP
ap-7699	590	14	the	the	DET
ap-7699	590	15	same	same	ADJ
ap-7699	590	16	time	time	NOUN
ap-7699	590	17	ωr	ωr	NOUN
ap-7699	590	18	,	,	PUNCT
ap-7699	590	19	n−1	n−1	PROPN
ap-7699	590	20	=	=	PUNCT
ap-7699	590	21	ωr	ωr	PROPN
ap-7699	590	22	,	,	PUNCT
ap-7699	590	23	n−2	n−2	PROPN
ap-7699	590	24	=	=	SYM
ap-7699	590	25	0	0	PROPN
ap-7699	590	26	,	,	PUNCT
ap-7699	590	27	then	then	ADV
ap-7699	590	28	the	the	DET
ap-7699	590	29	contributions	contribution	NOUN
ap-7699	590	30	of	of	ADP
ap-7699	590	31	corresponding	corresponding	ADJ
ap-7699	590	32	fractions	fraction	NOUN
ap-7699	590	33	in	in	ADP
ap-7699	590	34	(	(	PUNCT
ap-7699	590	35	46	46	NUM
ap-7699	590	36	)	)	PUNCT
ap-7699	590	37	are	be	AUX
ap-7699	590	38	vanishing	vanish	VERB
ap-7699	590	39	,	,	PUNCT
ap-7699	590	40	because	because	SCONJ
ap-7699	590	41	the	the	DET
ap-7699	590	42	limits	limit	NOUN
ap-7699	590	43	ωr	ωr	VERB
ap-7699	590	44	,	,	PUNCT
ap-7699	590	45	n−1	n−1	PROPN
ap-7699	590	46	→	→	SYM
ap-7699	590	47	0	0	NUM
ap-7699	590	48	or	or	CCONJ
ap-7699	590	49	ωr	ωr	ADP
ap-7699	590	50	,	,	PUNCT
ap-7699	590	51	n−2	n−2	PROPN
ap-7699	590	52	→	→	SYM
ap-7699	590	53	0	0	NUM
ap-7699	590	54	134	134	NUM
ap-7699	590	55	vol	vol	NOUN
ap-7699	590	56	.	.	PUNCT
ap-7699	591	1	62	62	NUM
ap-7699	591	2	no	no	INTJ
ap-7699	591	3	.	.	PUNCT
ap-7699	592	1	1/2022	1/2022	NUM
ap-7699	592	2	beta	beta	NOUN
ap-7699	592	3	functions	function	NOUN
ap-7699	592	4	in	in	ADP
ap-7699	592	5	six	six	NUM
ap-7699	592	6	-	-	PUNCT
ap-7699	592	7	derivative	derivative	ADJ
ap-7699	592	8	quantum	quantum	NOUN
ap-7699	592	9	gravity	gravity	NOUN
ap-7699	592	10	must	must	AUX
ap-7699	592	11	be	be	AUX
ap-7699	592	12	taken	take	VERB
ap-7699	592	13	as	as	ADP
ap-7699	592	14	the	the	DET
ap-7699	592	15	first	first	ADJ
ap-7699	592	16	respectively	respectively	ADV
ap-7699	592	17	.	.	PUNCT
ap-7699	593	1	only	only	ADV
ap-7699	593	2	after	after	ADP
ap-7699	593	3	this	this	PRON
ap-7699	593	4	,	,	PUNCT
ap-7699	593	5	the	the	DET
ap-7699	593	6	final	final	ADJ
ap-7699	593	7	limiting	limit	VERB
ap-7699	593	8	procedure	procedure	NOUN
ap-7699	593	9	ωr	ωr	NOUN
ap-7699	593	10	,	,	PUNCT
ap-7699	593	11	n	n	CCONJ
ap-7699	593	12	→	→	SYM
ap-7699	593	13	0	0	NUM
ap-7699	593	14	should	should	AUX
ap-7699	593	15	be	be	AUX
ap-7699	593	16	performed	perform	VERB
ap-7699	593	17	.	.	PUNCT
ap-7699	594	1	therefore	therefore	ADV
ap-7699	594	2	,	,	PUNCT
ap-7699	594	3	in	in	ADP
ap-7699	594	4	this	this	DET
ap-7699	594	5	limiting	limit	VERB
ap-7699	594	6	situation	situation	NOUN
ap-7699	594	7	,	,	PUNCT
ap-7699	594	8	the	the	DET
ap-7699	594	9	proper	proper	ADJ
ap-7699	594	10	sequence	sequence	NOUN
ap-7699	594	11	of	of	ADP
ap-7699	594	12	limits	limit	NOUN
ap-7699	594	13	on	on	ADP
ap-7699	594	14	respective	respective	ADJ
ap-7699	594	15	fractions	fraction	NOUN
ap-7699	594	16	is	be	AUX
ap-7699	594	17	as	as	SCONJ
ap-7699	594	18	follows	follow	VERB
ap-7699	594	19	:	:	PUNCT
ap-7699	594	20	lim	lim	PROPN
ap-7699	594	21	ωr	ωr	PROPN
ap-7699	594	22	,	,	PUNCT
ap-7699	594	23	n	n	NOUN
ap-7699	594	24	→0	→0	PUNCT
ap-7699	594	25	(	(	PUNCT
ap-7699	594	26	lim	lim	PROPN
ap-7699	594	27	ωr	ωr	PROPN
ap-7699	594	28	,	,	PUNCT
ap-7699	594	29	n−1→0	n−1→0	PROPN
ap-7699	594	30	ωr	ωr	PROPN
ap-7699	594	31	,	,	PUNCT
ap-7699	594	32	n−1	n−1	PROPN
ap-7699	594	33	ωr	ωr	NOUN
ap-7699	594	34	,	,	PUNCT
ap-7699	594	35	n	n	NOUN
ap-7699	594	36	)	)	PUNCT
ap-7699	594	37	=	=	SYM
ap-7699	594	38	0	0	PUNCT
ap-7699	595	1	(	(	PUNCT
ap-7699	595	2	47	47	NUM
ap-7699	595	3	)	)	PUNCT
ap-7699	595	4	and	and	CCONJ
ap-7699	595	5	lim	lim	PROPN
ap-7699	595	6	ωr	ωr	PROPN
ap-7699	595	7	,	,	PUNCT
ap-7699	595	8	n	n	NOUN
ap-7699	595	9	→0	→0	PUNCT
ap-7699	595	10	(	(	PUNCT
ap-7699	595	11	lim	lim	PROPN
ap-7699	595	12	ωr	ωr	PROPN
ap-7699	595	13	,	,	PUNCT
ap-7699	595	14	n−2→0	n−2→0	NOUN
ap-7699	595	15	ωr	ωr	PROPN
ap-7699	595	16	,	,	PUNCT
ap-7699	595	17	n−2	n−2	PROPN
ap-7699	595	18	ωr	ωr	NOUN
ap-7699	595	19	,	,	PUNCT
ap-7699	595	20	n	n	NOUN
ap-7699	595	21	)	)	PUNCT
ap-7699	596	1	=	=	SYM
ap-7699	596	2	0	0	X
ap-7699	596	3	.	.	PUNCT
ap-7699	597	1	(	(	PUNCT
ap-7699	597	2	48	48	NUM
ap-7699	597	3	)	)	PUNCT
ap-7699	597	4	in	in	ADP
ap-7699	597	5	this	this	DET
ap-7699	597	6	case	case	NOUN
ap-7699	597	7	,	,	PUNCT
ap-7699	597	8	there	there	PRON
ap-7699	597	9	are	be	VERB
ap-7699	597	10	no	no	DET
ap-7699	597	11	contributions	contribution	NOUN
ap-7699	597	12	to	to	ADP
ap-7699	597	13	the	the	DET
ap-7699	597	14	beta	beta	NOUN
ap-7699	597	15	functions	function	NOUN
ap-7699	597	16	from	from	ADP
ap-7699	597	17	these	these	DET
ap-7699	597	18	fractions	fraction	NOUN
ap-7699	597	19	,	,	PUNCT
ap-7699	597	20	so	so	SCONJ
ap-7699	597	21	the	the	DET
ap-7699	597	22	r2	r2	PROPN
ap-7699	597	23	sector	sector	NOUN
ap-7699	597	24	does	do	AUX
ap-7699	597	25	not	not	PART
ap-7699	597	26	contribute	contribute	VERB
ap-7699	597	27	anything	anything	PRON
ap-7699	597	28	to	to	ADP
ap-7699	597	29	the	the	DET
ap-7699	597	30	mentioned	mention	VERB
ap-7699	597	31	uv	uv	NOUN
ap-7699	597	32	divergences	divergence	NOUN
ap-7699	597	33	,	,	PUNCT
ap-7699	597	34	while	while	SCONJ
ap-7699	597	35	it	it	PRON
ap-7699	597	36	is	be	AUX
ap-7699	597	37	expected	expect	VERB
ap-7699	597	38	that	that	SCONJ
ap-7699	597	39	the	the	DET
ap-7699	597	40	terms	term	NOUN
ap-7699	597	41	in	in	ADP
ap-7699	597	42	the	the	DET
ap-7699	597	43	c2	c2	PROPN
ap-7699	597	44	sector	sector	NOUN
ap-7699	597	45	make	make	VERB
ap-7699	597	46	some	some	DET
ap-7699	597	47	impact	impact	NOUN
ap-7699	597	48	on	on	ADP
ap-7699	597	49	beta	beta	ADJ
ap-7699	597	50	functions	function	NOUN
ap-7699	597	51	.	.	PUNCT
ap-7699	598	1	however	however	ADV
ap-7699	598	2	,	,	PUNCT
ap-7699	598	3	the	the	DET
ap-7699	598	4	similar	similar	ADJ
ap-7699	598	5	procedure	procedure	NOUN
ap-7699	598	6	can	can	AUX
ap-7699	598	7	not	not	PART
ap-7699	598	8	be	be	AUX
ap-7699	598	9	applied	apply	VERB
ap-7699	598	10	in	in	ADP
ap-7699	598	11	the	the	DET
ap-7699	598	12	sector	sector	NOUN
ap-7699	598	13	with	with	ADP
ap-7699	598	14	weyl	weyl	VERB
ap-7699	598	15	square	square	ADJ
ap-7699	598	16	terms	term	NOUN
ap-7699	598	17	(	(	PUNCT
ap-7699	598	18	c2	c2	PROPN
ap-7699	598	19	sector	sector	NOUN
ap-7699	598	20	)	)	PUNCT
ap-7699	598	21	,	,	PUNCT
ap-7699	598	22	so	so	ADV
ap-7699	598	23	to	to	ADP
ap-7699	598	24	the	the	DET
ap-7699	598	25	model	model	NOUN
ap-7699	598	26	with	with	ADP
ap-7699	598	27	ωc	ωc	ADP
ap-7699	598	28	,	,	PUNCT
ap-7699	598	29	n	n	NOUN
ap-7699	598	30	=	=	SYM
ap-7699	598	31	0	0	NUM
ap-7699	598	32	and	and	CCONJ
ap-7699	598	33	at	at	ADP
ap-7699	598	34	the	the	DET
ap-7699	598	35	same	same	ADJ
ap-7699	598	36	time	time	NOUN
ap-7699	598	37	ωc	ωc	ADP
ap-7699	598	38	,	,	PUNCT
ap-7699	598	39	n−1	n−1	PROPN
ap-7699	598	40	=	=	SYM
ap-7699	598	41	ωc	ωc	PROPN
ap-7699	598	42	,	,	PUNCT
ap-7699	598	43	n−2	n−2	PROPN
ap-7699	598	44	=	=	NOUN
ap-7699	598	45	0	0	PROPN
ap-7699	598	46	since	since	SCONJ
ap-7699	598	47	these	these	DET
ap-7699	598	48	cases	case	NOUN
ap-7699	598	49	have	have	VERB
ap-7699	598	50	to	to	PART
ap-7699	598	51	be	be	AUX
ap-7699	598	52	treated	treat	VERB
ap-7699	598	53	specially	specially	ADV
ap-7699	598	54	and	and	CCONJ
ap-7699	598	55	separately	separately	ADV
ap-7699	598	56	.	.	PUNCT
ap-7699	599	1	in	in	ADP
ap-7699	599	2	the	the	DET
ap-7699	599	3	last	last	ADJ
ap-7699	599	4	case	case	NOUN
ap-7699	599	5	,	,	PUNCT
ap-7699	599	6	after	after	ADP
ap-7699	599	7	the	the	DET
ap-7699	599	8	limit	limit	NOUN
ap-7699	599	9	,	,	PUNCT
ap-7699	599	10	only	only	ADV
ap-7699	599	11	the	the	DET
ap-7699	599	12	pure	pure	ADJ
ap-7699	599	13	sector	sector	NOUN
ap-7699	599	14	with	with	ADP
ap-7699	599	15	ricci	ricci	PROPN
ap-7699	599	16	scalar	scalar	ADJ
ap-7699	599	17	square	square	ADJ
ap-7699	599	18	terms	term	NOUN
ap-7699	599	19	(	(	PUNCT
ap-7699	599	20	r2	r2	NOUN
ap-7699	599	21	sector	sector	NOUN
ap-7699	599	22	)	)	PUNCT
ap-7699	599	23	survives	survive	VERB
ap-7699	599	24	and	and	CCONJ
ap-7699	599	25	the	the	DET
ap-7699	599	26	theory	theory	NOUN
ap-7699	599	27	is	be	AUX
ap-7699	599	28	likely	likely	ADV
ap-7699	599	29	nonrenormalizable	nonrenormalizable	ADJ
ap-7699	599	30	.	.	PUNCT
ap-7699	600	1	then	then	ADV
ap-7699	600	2	we	we	PRON
ap-7699	600	3	expect	expect	VERB
ap-7699	600	4	contributions	contribution	NOUN
ap-7699	600	5	to	to	ADP
ap-7699	600	6	uv	uv	NOUN
ap-7699	600	7	divergences	divergence	NOUN
ap-7699	600	8	only	only	ADV
ap-7699	600	9	from	from	ADP
ap-7699	600	10	terms	term	NOUN
ap-7699	600	11	in	in	ADP
ap-7699	600	12	the	the	DET
ap-7699	600	13	r2	r2	NOUN
ap-7699	600	14	sector	sector	NOUN
ap-7699	600	15	.	.	PUNCT
ap-7699	601	1	regarding	regard	VERB
ap-7699	601	2	the	the	DET
ap-7699	601	3	divergences	divergence	NOUN
ap-7699	601	4	proportional	proportional	ADJ
ap-7699	601	5	to	to	ADP
ap-7699	601	6	expressions	expression	NOUN
ap-7699	601	7	quadratic	quadratic	ADJ
ap-7699	601	8	in	in	ADP
ap-7699	601	9	curvatures	curvature	NOUN
ap-7699	601	10	(	(	PUNCT
ap-7699	601	11	r2	r2	PROPN
ap-7699	601	12	,	,	PUNCT
ap-7699	601	13	c2	c2	PROPN
ap-7699	601	14	,	,	PUNCT
ap-7699	601	15	and	and	CCONJ
ap-7699	601	16	the	the	DET
ap-7699	601	17	gaussbonnet	gaussbonnet	NOUN
ap-7699	601	18	term	term	NOUN
ap-7699	601	19	gb	gb	NOUN
ap-7699	601	20	)	)	PUNCT
ap-7699	601	21	,	,	PUNCT
ap-7699	601	22	we	we	PRON
ap-7699	601	23	have	have	AUX
ap-7699	601	24	found	find	VERB
ap-7699	601	25	the	the	DET
ap-7699	601	26	following	follow	VERB
ap-7699	601	27	generic	generic	ADJ
ap-7699	601	28	structure	structure	NOUN
ap-7699	601	29	in	in	ADP
ap-7699	601	30	four	four	NUM
ap-7699	601	31	-	-	PUNCT
ap-7699	601	32	derivative	derivative	ADJ
ap-7699	601	33	gravity	gravity	NOUN
ap-7699	601	34	[	[	X
ap-7699	601	35	42	42	NUM
ap-7699	601	36	]	]	X
ap-7699	601	37	:	:	PUNCT
ap-7699	602	1	a−2	a−2	PROPN
ap-7699	602	2	x2	x2	PROPN
ap-7699	602	3	4−der	4−der	NOUN
ap-7699	602	4	+	+	CCONJ
ap-7699	602	5	a−1	a−1	PROPN
ap-7699	602	6	x4−der	x4−der	PUNCT
ap-7699	603	1	+	+	CCONJ
ap-7699	603	2	a0	a0	PROPN
ap-7699	603	3	,	,	PUNCT
ap-7699	603	4	(	(	PUNCT
ap-7699	603	5	49	49	NUM
ap-7699	603	6	)	)	PUNCT
ap-7699	603	7	where	where	SCONJ
ap-7699	603	8	in	in	ADP
ap-7699	603	9	this	this	DET
ap-7699	603	10	case	case	NOUN
ap-7699	603	11	of	of	ADP
ap-7699	603	12	four	four	NUM
ap-7699	603	13	-	-	PUNCT
ap-7699	603	14	derivative	derivative	NOUN
ap-7699	603	15	gravity	gravity	NOUN
ap-7699	603	16	the	the	DET
ap-7699	603	17	fundamental	fundamental	ADJ
ap-7699	603	18	ratio	ratio	NOUN
ap-7699	603	19	of	of	ADP
ap-7699	603	20	the	the	DET
ap-7699	603	21	theory	theory	NOUN
ap-7699	603	22	is	be	AUX
ap-7699	603	23	defined	define	VERB
ap-7699	603	24	as	as	ADP
ap-7699	603	25	x4−der	x4−der	PUNCT
ap-7699	603	26	=	=	SYM
ap-7699	603	27	ωc,0	ωc,0	PROPN
ap-7699	603	28	ωr,0	ωr,0	X
ap-7699	603	29	=	=	PUNCT
ap-7699	603	30	θc	θc	VERB
ap-7699	603	31	θr	θr	NOUN
ap-7699	603	32	.	.	PUNCT
ap-7699	604	1	(	(	PUNCT
ap-7699	604	2	50	50	NUM
ap-7699	604	3	)	)	PUNCT
ap-7699	604	4	the	the	DET
ap-7699	604	5	numerical	numerical	ADJ
ap-7699	604	6	coefficients	coefficient	NOUN
ap-7699	604	7	a−2	a−2	PROPN
ap-7699	604	8	,	,	PUNCT
ap-7699	604	9	a−1	a−1	PROPN
ap-7699	604	10	and	and	CCONJ
ap-7699	604	11	a−0	a−0	PROPN
ap-7699	604	12	are	be	AUX
ap-7699	604	13	different	different	ADJ
ap-7699	604	14	for	for	ADP
ap-7699	604	15	different	different	ADJ
ap-7699	604	16	types	type	NOUN
ap-7699	604	17	of	of	ADP
ap-7699	604	18	uv	uv	NOUN
ap-7699	604	19	divergences	divergence	NOUN
ap-7699	604	20	(	(	PUNCT
ap-7699	604	21	here	here	ADV
ap-7699	604	22	they	they	PRON
ap-7699	604	23	are	be	AUX
ap-7699	604	24	given	give	VERB
ap-7699	604	25	by	by	ADP
ap-7699	604	26	terms	term	NOUN
ap-7699	604	27	with	with	ADP
ap-7699	604	28	four	four	NUM
ap-7699	604	29	derivatives	derivative	NOUN
ap-7699	604	30	,	,	PUNCT
ap-7699	604	31	namely	namely	ADV
ap-7699	604	32	by	by	ADP
ap-7699	604	33	r2	r2	PROPN
ap-7699	604	34	,	,	PUNCT
ap-7699	604	35	c2	c2	PROPN
ap-7699	604	36	and	and	CCONJ
ap-7699	604	37	gb	gb	ADP
ap-7699	604	38	terms	term	NOUN
ap-7699	604	39	respectively	respectively	ADV
ap-7699	604	40	)	)	PUNCT
ap-7699	604	41	.	.	PUNCT
ap-7699	605	1	the	the	DET
ap-7699	605	2	explicit	explicit	ADJ
ap-7699	605	3	numerical	numerical	ADJ
ap-7699	605	4	values	value	NOUN
ap-7699	605	5	are	be	AUX
ap-7699	605	6	given	give	VERB
ap-7699	605	7	in	in	ADP
ap-7699	605	8	the	the	DET
ap-7699	605	9	formula	formula	NOUN
ap-7699	605	10	(	(	PUNCT
ap-7699	605	11	34	34	NUM
ap-7699	605	12	)	)	PUNCT
ap-7699	605	13	.	.	PUNCT
ap-7699	606	1	one	one	PRON
ap-7699	606	2	observes	observe	VERB
ap-7699	606	3	negative	negative	ADJ
ap-7699	606	4	powers	power	NOUN
ap-7699	606	5	of	of	ADP
ap-7699	606	6	the	the	DET
ap-7699	606	7	ratio	ratio	NOUN
ap-7699	606	8	x4−der	x4−der	PUNCT
ap-7699	607	1	in	in	ADP
ap-7699	607	2	(	(	PUNCT
ap-7699	607	3	49	49	NUM
ap-7699	607	4	)	)	PUNCT
ap-7699	607	5	and	and	CCONJ
ap-7699	607	6	in	in	ADP
ap-7699	607	7	(	(	PUNCT
ap-7699	607	8	34	34	NUM
ap-7699	607	9	)	)	PUNCT
ap-7699	607	10	,	,	PUNCT
ap-7699	607	11	implying	imply	VERB
ap-7699	607	12	also	also	ADV
ap-7699	607	13	negative	negative	ADJ
ap-7699	607	14	powers	power	NOUN
ap-7699	607	15	of	of	ADP
ap-7699	607	16	the	the	DET
ap-7699	607	17	coupling	coupling	NOUN
ap-7699	607	18	θc	θc	INTJ
ap-7699	607	19	in	in	ADP
ap-7699	607	20	the	the	DET
ap-7699	607	21	final	final	ADJ
ap-7699	607	22	results	result	NOUN
ap-7699	607	23	for	for	ADP
ap-7699	607	24	these	these	DET
ap-7699	607	25	uv	uv	NOUN
ap-7699	607	26	divergences	divergence	NOUN
ap-7699	607	27	.	.	PUNCT
ap-7699	608	1	this	this	DET
ap-7699	608	2	result	result	NOUN
ap-7699	608	3	signifies	signify	VERB
ap-7699	608	4	that	that	SCONJ
ap-7699	608	5	the	the	DET
ap-7699	608	6	theory	theory	NOUN
ap-7699	608	7	with	with	ADP
ap-7699	608	8	θc	θc	NOUN
ap-7699	608	9	=	=	NOUN
ap-7699	608	10	0	0	NUM
ap-7699	608	11	should	should	AUX
ap-7699	608	12	be	be	AUX
ap-7699	608	13	treated	treat	VERB
ap-7699	608	14	separately	separately	ADV
ap-7699	608	15	and	and	CCONJ
ap-7699	608	16	then	then	ADV
ap-7699	608	17	we	we	PRON
ap-7699	608	18	do	do	AUX
ap-7699	608	19	not	not	PART
ap-7699	608	20	have	have	VERB
ap-7699	608	21	well	well	ADV
ap-7699	608	22	-	-	PUNCT
ap-7699	608	23	defined	define	VERB
ap-7699	608	24	kinetic	kinetic	ADJ
ap-7699	608	25	operator	operator	NOUN
ap-7699	608	26	in	in	ADP
ap-7699	608	27	a	a	DET
ap-7699	608	28	standard	standard	ADJ
ap-7699	608	29	scheme	scheme	NOUN
ap-7699	608	30	of	of	ADP
ap-7699	608	31	computation	computation	NOUN
ap-7699	608	32	.	.	PUNCT
ap-7699	609	1	the	the	DET
ap-7699	609	2	naive	naive	ADJ
ap-7699	609	3	results	result	NOUN
ap-7699	609	4	with	with	ADP
ap-7699	609	5	the	the	DET
ap-7699	609	6	limit	limit	NOUN
ap-7699	609	7	θc	θc	INTJ
ap-7699	609	8	→	→	SYM
ap-7699	609	9	0	0	NUM
ap-7699	609	10	of	of	ADP
ap-7699	609	11	the	the	DET
ap-7699	609	12	above	above	ADJ
ap-7699	609	13	formula	formula	NOUN
ap-7699	609	14	in	in	ADP
ap-7699	609	15	(	(	PUNCT
ap-7699	609	16	49	49	NUM
ap-7699	609	17	)	)	PUNCT
ap-7699	609	18	do	do	AUX
ap-7699	609	19	not	not	PART
ap-7699	609	20	exist	exist	VERB
ap-7699	609	21	.	.	PUNCT
ap-7699	610	1	such	such	ADJ
ap-7699	610	2	theories	theory	NOUN
ap-7699	610	3	with	with	ADP
ap-7699	610	4	θc	θc	NOUN
ap-7699	610	5	=	=	SYM
ap-7699	610	6	0	0	NUM
ap-7699	610	7	entail	entail	VERB
ap-7699	610	8	complete	complete	ADJ
ap-7699	610	9	absence	absence	NOUN
ap-7699	610	10	of	of	ADP
ap-7699	610	11	gravitational	gravitational	ADJ
ap-7699	610	12	terms	term	NOUN
ap-7699	610	13	in	in	ADP
ap-7699	610	14	the	the	DET
ap-7699	610	15	c2	c2	PROPN
ap-7699	610	16	sector	sector	NOUN
ap-7699	610	17	.	.	PUNCT
ap-7699	611	1	they	they	PRON
ap-7699	611	2	are	be	AUX
ap-7699	611	3	again	again	ADV
ap-7699	611	4	very	very	ADV
ap-7699	611	5	special	special	ADJ
ap-7699	611	6	and	and	CCONJ
ap-7699	611	7	perturbatively	perturbatively	ADV
ap-7699	611	8	non	non	ADJ
ap-7699	611	9	-	-	ADJ
ap-7699	611	10	renormalizable	renormalizable	ADJ
ap-7699	611	11	models	model	NOUN
ap-7699	611	12	.	.	PUNCT
ap-7699	612	1	the	the	DET
ap-7699	612	2	above	above	ADJ
ap-7699	612	3	remarks	remark	NOUN
ap-7699	612	4	apply	apply	VERB
ap-7699	612	5	both	both	PRON
ap-7699	612	6	to	to	ADP
ap-7699	612	7	pure	pure	ADJ
ap-7699	612	8	r2	r2	PROPN
ap-7699	612	9	starobinsky	starobinsky	ADJ
ap-7699	612	10	theory	theory	NOUN
ap-7699	612	11	as	as	ADV
ap-7699	612	12	well	well	ADV
ap-7699	612	13	as	as	ADP
ap-7699	612	14	to	to	ADP
ap-7699	612	15	theories	theory	NOUN
ap-7699	612	16	in	in	ADP
ap-7699	612	17	the	the	DET
ap-7699	612	18	r2	r2	PROPN
ap-7699	612	19	sector	sector	NOUN
ap-7699	612	20	with	with	ADP
ap-7699	612	21	addition	addition	NOUN
ap-7699	612	22	of	of	ADP
ap-7699	612	23	the	the	DET
ap-7699	612	24	einstein	einstein	NOUN
ap-7699	612	25	-	-	PUNCT
ap-7699	612	26	hilbert	hilbert	NOUN
ap-7699	612	27	r	r	NOUN
ap-7699	612	28	or	or	CCONJ
ap-7699	612	29	the	the	DET
ap-7699	612	30	cosmological	cosmological	ADJ
ap-7699	612	31	constant	constant	ADJ
ap-7699	612	32	ωλ	ωλ	ADJ
ap-7699	612	33	terms	term	NOUN
ap-7699	612	34	.	.	PUNCT
ap-7699	613	1	on	on	ADP
ap-7699	613	2	the	the	DET
ap-7699	613	3	other	other	ADJ
ap-7699	613	4	side	side	NOUN
ap-7699	613	5	,	,	PUNCT
ap-7699	613	6	the	the	DET
ap-7699	613	7	limit	limit	NOUN
ap-7699	613	8	θr	θr	PRON
ap-7699	613	9	→	→	SYM
ap-7699	613	10	0	0	NUM
ap-7699	613	11	in	in	ADP
ap-7699	613	12	pure	pure	ADJ
ap-7699	613	13	c2	c2	PROPN
ap-7699	613	14	gravity	gravity	NOUN
ap-7699	613	15	seems	seem	VERB
ap-7699	613	16	not	not	PART
ap-7699	613	17	to	to	PART
ap-7699	613	18	produce	produce	VERB
ap-7699	613	19	any	any	DET
ap-7699	613	20	problem	problem	NOUN
ap-7699	613	21	with	with	ADP
ap-7699	613	22	the	the	DET
ap-7699	613	23	degeneracy	degeneracy	NOUN
ap-7699	613	24	of	of	ADP
ap-7699	613	25	the	the	DET
ap-7699	613	26	kinetic	kinetic	ADJ
ap-7699	613	27	operator	operator	NOUN
ap-7699	613	28	,	,	PUNCT
ap-7699	613	29	nor	nor	CCONJ
ap-7699	613	30	with	with	ADP
ap-7699	613	31	the	the	DET
ap-7699	613	32	final	final	ADJ
ap-7699	613	33	expression	expression	NOUN
ap-7699	613	34	(	(	PUNCT
ap-7699	613	35	49	49	NUM
ap-7699	613	36	)	)	PUNCT
ap-7699	613	37	.	.	PUNCT
ap-7699	614	1	the	the	DET
ap-7699	614	2	naive	naive	ADJ
ap-7699	614	3	answer	answer	NOUN
ap-7699	614	4	would	would	AUX
ap-7699	614	5	be	be	AUX
ap-7699	614	6	just	just	ADV
ap-7699	614	7	a0	a0	NOUN
ap-7699	614	8	for	for	ADP
ap-7699	614	9	(	(	PUNCT
ap-7699	614	10	49	49	NUM
ap-7699	614	11	)	)	PUNCT
ap-7699	614	12	for	for	ADP
ap-7699	614	13	each	each	PRON
ap-7699	614	14	of	of	ADP
ap-7699	614	15	the	the	DET
ap-7699	614	16	uv	uv	NOUN
ap-7699	614	17	divergences	divergence	NOUN
ap-7699	614	18	in	in	ADP
ap-7699	614	19	this	this	DET
ap-7699	614	20	case	case	NOUN
ap-7699	614	21	.	.	PUNCT
ap-7699	615	1	but	but	CCONJ
ap-7699	615	2	this	this	PRON
ap-7699	615	3	is	be	AUX
ap-7699	615	4	an	an	DET
ap-7699	615	5	incorrect	incorrect	ADJ
ap-7699	615	6	answer	answer	NOUN
ap-7699	615	7	since	since	SCONJ
ap-7699	615	8	for	for	ADP
ap-7699	615	9	pure	pure	ADJ
ap-7699	615	10	fourderivative	fourderivative	ADJ
ap-7699	615	11	gravity	gravity	NOUN
ap-7699	615	12	with	with	ADP
ap-7699	615	13	θr	θr	NOUN
ap-7699	615	14	=	=	SYM
ap-7699	615	15	0	0	NUM
ap-7699	615	16	in	in	ADP
ap-7699	615	17	the	the	DET
ap-7699	615	18	weyl	weyl	ADJ
ap-7699	615	19	basis	basis	NOUN
ap-7699	615	20	of	of	ADP
ap-7699	615	21	terms	term	NOUN
ap-7699	615	22	,	,	PUNCT
ap-7699	615	23	we	we	PRON
ap-7699	615	24	have	have	VERB
ap-7699	615	25	an	an	DET
ap-7699	615	26	enhancement	enhancement	NOUN
ap-7699	615	27	of	of	ADP
ap-7699	615	28	the	the	DET
ap-7699	615	29	symmetry	symmetry	NOUN
ap-7699	615	30	in	in	ADP
ap-7699	615	31	the	the	DET
ap-7699	615	32	model	model	NOUN
ap-7699	615	33	,	,	PUNCT
ap-7699	615	34	beyond	beyond	ADP
ap-7699	615	35	the	the	DET
ap-7699	615	36	case	case	NOUN
ap-7699	615	37	where	where	SCONJ
ap-7699	615	38	θr	θr	NOUN
ap-7699	615	39	was	be	AUX
ap-7699	615	40	non	non	ADJ
ap-7699	615	41	-	-	ADJ
ap-7699	615	42	zero	zero	NUM
ap-7699	615	43	.	.	PUNCT
ap-7699	616	1	in	in	ADP
ap-7699	616	2	this	this	DET
ap-7699	616	3	situation	situation	NOUN
ap-7699	616	4	,	,	PUNCT
ap-7699	616	5	the	the	DET
ap-7699	616	6	theory	theory	NOUN
ap-7699	616	7	enjoys	enjoy	VERB
ap-7699	616	8	also	also	ADV
ap-7699	616	9	conformal	conformal	ADJ
ap-7699	616	10	symmetry	symmetry	NOUN
ap-7699	616	11	and	and	CCONJ
ap-7699	616	12	a	a	DET
ap-7699	616	13	more	more	ADV
ap-7699	616	14	specialized	specialized	ADJ
ap-7699	616	15	and	and	CCONJ
ap-7699	616	16	delicate	delicate	ADJ
ap-7699	616	17	computation	computation	NOUN
ap-7699	616	18	must	must	AUX
ap-7699	616	19	be	be	AUX
ap-7699	616	20	performed	perform	VERB
ap-7699	616	21	to	to	PART
ap-7699	616	22	cover	cover	VERB
ap-7699	616	23	this	this	DET
ap-7699	616	24	case	case	NOUN
ap-7699	616	25	.	.	PUNCT
ap-7699	617	1	this	this	PRON
ap-7699	617	2	is	be	AUX
ap-7699	617	3	the	the	DET
ap-7699	617	4	case	case	NOUN
ap-7699	617	5	of	of	ADP
ap-7699	617	6	four	four	NUM
ap-7699	617	7	-	-	PUNCT
ap-7699	617	8	dimensional	dimensional	ADJ
ap-7699	617	9	conformal	conformal	NOUN
ap-7699	617	10	(	(	PUNCT
ap-7699	617	11	weyl	weyl	ADJ
ap-7699	617	12	)	)	PUNCT
ap-7699	617	13	gravity	gravity	NOUN
ap-7699	617	14	.	.	PUNCT
ap-7699	618	1	(	(	PUNCT
ap-7699	618	2	we	we	PRON
ap-7699	618	3	decided	decide	VERB
ap-7699	618	4	for	for	ADP
ap-7699	618	5	simplicity	simplicity	NOUN
ap-7699	618	6	not	not	PART
ap-7699	618	7	to	to	PART
ap-7699	618	8	analyze	analyze	VERB
ap-7699	618	9	here	here	ADV
ap-7699	618	10	the	the	DET
ap-7699	618	11	cases	case	NOUN
ap-7699	618	12	when	when	SCONJ
ap-7699	618	13	besides	besides	SCONJ
ap-7699	618	14	the	the	DET
ap-7699	618	15	c2	c2	PROPN
ap-7699	618	16	action	action	NOUN
ap-7699	618	17	for	for	ADP
ap-7699	618	18	four	four	NUM
ap-7699	618	19	-	-	PUNCT
ap-7699	618	20	dimensional	dimensional	ADJ
ap-7699	618	21	conformal	conformal	NOUN
ap-7699	618	22	gravity	gravity	NOUN
ap-7699	618	23	,	,	PUNCT
ap-7699	618	24	there	there	PRON
ap-7699	618	25	are	be	VERB
ap-7699	618	26	also	also	ADV
ap-7699	618	27	some	some	DET
ap-7699	618	28	subleading	subleading	ADJ
ap-7699	618	29	terms	term	NOUN
ap-7699	618	30	from	from	ADP
ap-7699	618	31	the	the	DET
ap-7699	618	32	almost	almost	ADV
ap-7699	618	33	“	"	PUNCT
ap-7699	618	34	pure	pure	ADJ
ap-7699	618	35	”	"	PUNCT
ap-7699	618	36	r2	r2	NOUN
ap-7699	618	37	sector	sector	NOUN
ap-7699	618	38	,	,	PUNCT
ap-7699	618	39	that	that	PRON
ap-7699	618	40	is	be	AUX
ap-7699	618	41	ω−1	ω−1	PROPN
ap-7699	618	42	̸=	̸=	PROPN
ap-7699	618	43	0	0	NUM
ap-7699	618	44	or	or	CCONJ
ap-7699	618	45	when	when	SCONJ
ap-7699	618	46	we	we	PRON
ap-7699	618	47	allow	allow	VERB
ap-7699	618	48	for	for	ADP
ap-7699	618	49	non	non	ADJ
ap-7699	618	50	-	-	ADJ
ap-7699	618	51	vanishing	vanishing	ADJ
ap-7699	618	52	cosmological	cosmological	ADJ
ap-7699	618	53	constant	constant	ADJ
ap-7699	618	54	term	term	NOUN
ap-7699	618	55	ωλ	ωλ	VERB
ap-7699	618	56	̸=	̸=	PROPN
ap-7699	618	57	0	0	NUM
ap-7699	618	58	–	–	PUNCT
ap-7699	618	59	these	these	DET
ap-7699	618	60	terms	term	NOUN
ap-7699	618	61	in	in	ADP
ap-7699	618	62	the	the	DET
ap-7699	618	63	action	action	NOUN
ap-7699	618	64	would	would	AUX
ap-7699	618	65	cause	cause	VERB
ap-7699	618	66	breaking	breaking	NOUN
ap-7699	618	67	of	of	ADP
ap-7699	618	68	classical	classical	ADJ
ap-7699	618	69	conformality	conformality	NOUN
ap-7699	618	70	.	.	PUNCT
ap-7699	618	71	)	)	PUNCT
ap-7699	619	1	the	the	DET
ap-7699	619	2	computation	computation	NOUN
ap-7699	619	3	in	in	ADP
ap-7699	619	4	this	this	DET
ap-7699	619	5	case	case	NOUN
ap-7699	619	6	should	should	AUX
ap-7699	619	7	reflect	reflect	VERB
ap-7699	619	8	the	the	DET
ap-7699	619	9	fact	fact	NOUN
ap-7699	619	10	that	that	SCONJ
ap-7699	619	11	also	also	ADV
ap-7699	619	12	the	the	DET
ap-7699	619	13	conformal	conformal	ADJ
ap-7699	619	14	symmetry	symmetry	NOUN
ap-7699	619	15	should	should	AUX
ap-7699	619	16	be	be	AUX
ap-7699	619	17	gaugefixed	gaugefixe	VERB
ap-7699	619	18	.	.	PUNCT
ap-7699	620	1	we	we	PRON
ap-7699	620	2	remark	remark	VERB
ap-7699	620	3	that	that	SCONJ
ap-7699	620	4	the	the	DET
ap-7699	620	5	conformal	conformal	NOUN
ap-7699	620	6	symmetry	symmetry	NOUN
ap-7699	620	7	does	do	AUX
ap-7699	620	8	not	not	PART
ap-7699	620	9	require	require	VERB
ap-7699	620	10	dynamical	dynamical	ADJ
ap-7699	620	11	fp	fp	NOUN
ap-7699	620	12	ghosts	ghost	NOUN
ap-7699	620	13	,	,	PUNCT
ap-7699	620	14	because	because	SCONJ
ap-7699	620	15	the	the	DET
ap-7699	620	16	conformal	conformal	NOUN
ap-7699	620	17	transformations	transformation	NOUN
ap-7699	620	18	of	of	ADP
ap-7699	620	19	gravitational	gravitational	ADJ
ap-7699	620	20	gauge	gauge	NOUN
ap-7699	620	21	potentials	potential	NOUN
ap-7699	620	22	(	(	PUNCT
ap-7699	620	23	not	not	PART
ap-7699	620	24	the	the	DET
ap-7699	620	25	conformal	conformal	ADJ
ap-7699	620	26	weyl	weyl	VERB
ap-7699	620	27	gauge	gauge	NOUN
ap-7699	620	28	potentials	potential	VERB
ap-7699	620	29	bµ	bµ	NOUN
ap-7699	620	30	)	)	PUNCT
ap-7699	620	31	are	be	AUX
ap-7699	620	32	without	without	ADP
ap-7699	620	33	derivatives	derivative	NOUN
ap-7699	620	34	.	.	PUNCT
ap-7699	621	1	at	at	ADP
ap-7699	621	2	the	the	DET
ap-7699	621	3	end	end	NOUN
ap-7699	621	4	,	,	PUNCT
ap-7699	621	5	when	when	SCONJ
ap-7699	621	6	the	the	DET
ap-7699	621	7	more	more	ADV
ap-7699	621	8	sophisticated	sophisticated	ADJ
ap-7699	621	9	method	method	NOUN
ap-7699	621	10	is	be	AUX
ap-7699	621	11	employed	employ	VERB
ap-7699	621	12	,	,	PUNCT
ap-7699	621	13	the	the	DET
ap-7699	621	14	eventual	eventual	ADJ
ap-7699	621	15	result	result	NOUN
ap-7699	621	16	is	be	AUX
ap-7699	621	17	different	different	ADJ
ap-7699	621	18	than	than	ADP
ap-7699	621	19	a0	a0	NOUN
ap-7699	621	20	for	for	ADP
ap-7699	621	21	each	each	DET
ap-7699	621	22	type	type	NOUN
ap-7699	621	23	out	out	ADP
ap-7699	621	24	of	of	ADP
ap-7699	621	25	three	three	NUM
ap-7699	621	26	types	type	NOUN
ap-7699	621	27	of	of	ADP
ap-7699	621	28	four	four	NUM
ap-7699	621	29	-	-	PUNCT
ap-7699	621	30	derivative	derivative	ADJ
ap-7699	621	31	uv	uv	NOUN
ap-7699	621	32	-	-	PUNCT
ap-7699	621	33	divergent	divergent	ADJ
ap-7699	621	34	gr	gr	ADJ
ap-7699	621	35	-	-	PUNCT
ap-7699	621	36	invariant	invariant	ADJ
ap-7699	621	37	terms	term	NOUN
ap-7699	621	38	in	in	ADP
ap-7699	621	39	the	the	DET
ap-7699	621	40	quantum	quantum	ADJ
ap-7699	621	41	effective	effective	ADJ
ap-7699	621	42	action	action	NOUN
ap-7699	621	43	of	of	ADP
ap-7699	621	44	the	the	DET
ap-7699	621	45	model	model	NOUN
ap-7699	621	46	.	.	PUNCT
ap-7699	622	1	the	the	DET
ap-7699	622	2	strict	strict	ADJ
ap-7699	622	3	result	result	NOUN
ap-7699	622	4	a0	a0	NOUN
ap-7699	622	5	is	be	AUX
ap-7699	622	6	still	still	ADV
ap-7699	622	7	correct	correct	ADJ
ap-7699	622	8	only	only	ADV
ap-7699	622	9	for	for	ADP
ap-7699	622	10	theories	theory	NOUN
ap-7699	622	11	in	in	ADP
ap-7699	622	12	which	which	PRON
ap-7699	622	13	conformality	conformality	NOUN
ap-7699	622	14	is	be	AUX
ap-7699	622	15	violated	violate	VERB
ap-7699	622	16	by	by	ADP
ap-7699	622	17	inclusion	inclusion	NOUN
ap-7699	622	18	of	of	ADP
ap-7699	622	19	other	other	ADJ
ap-7699	622	20	non	non	ADJ
ap-7699	622	21	-	-	ADJ
ap-7699	622	22	conformal	conformal	ADJ
ap-7699	622	23	terms	term	NOUN
ap-7699	622	24	like	like	ADP
ap-7699	622	25	the	the	DET
ap-7699	622	26	einstein	einstein	NOUN
ap-7699	622	27	-	-	PUNCT
ap-7699	622	28	hilbert	hilbert	NOUN
ap-7699	622	29	r	r	NOUN
ap-7699	622	30	term	term	NOUN
ap-7699	622	31	or	or	CCONJ
ap-7699	622	32	the	the	DET
ap-7699	622	33	cosmological	cosmological	ADJ
ap-7699	622	34	constant	constant	ADJ
ap-7699	622	35	ωλ	ωλ	ADJ
ap-7699	622	36	term	term	NOUN
ap-7699	622	37	.	.	PUNCT
ap-7699	623	1	we	we	PRON
ap-7699	623	2	conclude	conclude	VERB
ap-7699	623	3	that	that	SCONJ
ap-7699	623	4	in	in	ADP
ap-7699	623	5	the	the	DET
ap-7699	623	6	four	four	NUM
ap-7699	623	7	-	-	PUNCT
ap-7699	623	8	derivative	derivative	NOUN
ap-7699	623	9	theory	theory	NOUN
ap-7699	623	10	,	,	PUNCT
ap-7699	623	11	the	the	DET
ap-7699	623	12	two	two	NUM
ap-7699	623	13	possible	possible	ADJ
ap-7699	623	14	extreme	extreme	ADJ
ap-7699	623	15	cases	case	NOUN
ap-7699	623	16	of	of	ADP
ap-7699	623	17	θr	θr	NOUN
ap-7699	623	18	=	=	SYM
ap-7699	623	19	0	0	NUM
ap-7699	623	20	or	or	CCONJ
ap-7699	623	21	θc	θc	ADV
ap-7699	623	22	=	=	NOUN
ap-7699	623	23	0	0	NUM
ap-7699	623	24	are	be	AUX
ap-7699	623	25	not	not	PART
ap-7699	623	26	covered	cover	VERB
ap-7699	623	27	by	by	ADP
ap-7699	623	28	the	the	DET
ap-7699	623	29	general	general	ADJ
ap-7699	623	30	formula	formula	NOUN
ap-7699	623	31	(	(	PUNCT
ap-7699	623	32	49	49	NUM
ap-7699	623	33	)	)	PUNCT
ap-7699	623	34	.	.	PUNCT
ap-7699	624	1	but	but	CCONJ
ap-7699	624	2	in	in	ADP
ap-7699	624	3	each	each	PRON
ap-7699	624	4	of	of	ADP
ap-7699	624	5	these	these	DET
ap-7699	624	6	cases	case	NOUN
ap-7699	624	7	the	the	DET
ap-7699	624	8	reasons	reason	NOUN
ap-7699	624	9	for	for	ADP
ap-7699	624	10	this	this	DET
ap-7699	624	11	omission	omission	NOUN
ap-7699	624	12	are	be	AUX
ap-7699	624	13	different	different	ADJ
ap-7699	624	14	.	.	PUNCT
ap-7699	625	1	in	in	ADP
ap-7699	625	2	both	both	DET
ap-7699	625	3	these	these	DET
ap-7699	625	4	cases	case	NOUN
ap-7699	625	5	the	the	DET
ap-7699	625	6	separate	separate	ADJ
ap-7699	625	7	more	more	ADV
ap-7699	625	8	adapted	adapted	ADJ
ap-7699	625	9	methods	method	NOUN
ap-7699	625	10	of	of	ADP
ap-7699	625	11	computation	computation	NOUN
ap-7699	625	12	of	of	ADP
ap-7699	625	13	uv	uv	NOUN
ap-7699	625	14	divergences	divergence	NOUN
ap-7699	625	15	have	have	VERB
ap-7699	625	16	to	to	PART
ap-7699	625	17	be	be	AUX
ap-7699	625	18	used	use	VERB
ap-7699	625	19	.	.	PUNCT
ap-7699	626	1	in	in	ADP
ap-7699	626	2	the	the	DET
ap-7699	626	3	case	case	NOUN
ap-7699	626	4	of	of	ADP
ap-7699	626	5	six	six	NUM
ap-7699	626	6	-	-	PUNCT
ap-7699	626	7	derivative	derivative	ADJ
ap-7699	626	8	theory	theory	NOUN
ap-7699	626	9	studied	study	VERB
ap-7699	626	10	in	in	ADP
ap-7699	626	11	[	[	X
ap-7699	626	12	26	26	NUM
ap-7699	626	13	]	]	PUNCT
ap-7699	626	14	,	,	PUNCT
ap-7699	626	15	we	we	PRON
ap-7699	626	16	have	have	VERB
ap-7699	626	17	the	the	DET
ap-7699	626	18	following	follow	VERB
ap-7699	626	19	structure	structure	NOUN
ap-7699	626	20	of	of	ADP
ap-7699	626	21	uv	uv	NOUN
ap-7699	626	22	divergences	divergence	NOUN
ap-7699	626	23	quadratic	quadratic	ADJ
ap-7699	626	24	in	in	ADP
ap-7699	626	25	gravitational	gravitational	ADJ
ap-7699	626	26	curvatures	curvature	NOUN
ap-7699	626	27	b0	b0	NOUN
ap-7699	626	28	+	+	CCONJ
ap-7699	626	29	b1x	b1x	PROPN
ap-7699	626	30	,	,	PUNCT
ap-7699	626	31	(	(	PUNCT
ap-7699	626	32	51	51	NUM
ap-7699	626	33	)	)	PUNCT
ap-7699	626	34	with	with	ADP
ap-7699	626	35	new	new	ADJ
ap-7699	626	36	values	value	NOUN
ap-7699	626	37	for	for	ADP
ap-7699	626	38	the	the	DET
ap-7699	626	39	constants	constant	NOUN
ap-7699	626	40	b0	b0	NOUN
ap-7699	626	41	and	and	CCONJ
ap-7699	626	42	b1	b1	NOUN
ap-7699	626	43	.	.	PUNCT
ap-7699	627	1	the	the	DET
ap-7699	627	2	explicit	explicit	ADJ
ap-7699	627	3	numerical	numerical	ADJ
ap-7699	627	4	values	value	NOUN
ap-7699	627	5	are	be	AUX
ap-7699	627	6	given	give	VERB
ap-7699	627	7	in	in	ADP
ap-7699	627	8	our	our	PRON
ap-7699	627	9	formula	formula	NOUN
ap-7699	627	10	(	(	PUNCT
ap-7699	627	11	33	33	NUM
ap-7699	627	12	)	)	PUNCT
ap-7699	627	13	with	with	ADP
ap-7699	627	14	the	the	DET
ap-7699	627	15	results	result	NOUN
ap-7699	627	16	.	.	PUNCT
ap-7699	628	1	we	we	PRON
ap-7699	628	2	also	also	ADV
ap-7699	628	3	remark	remark	VERB
ap-7699	628	4	that	that	SCONJ
ap-7699	628	5	the	the	DET
ap-7699	628	6	values	value	NOUN
ap-7699	628	7	of	of	ADP
ap-7699	628	8	the	the	DET
ap-7699	628	9	constant	constant	ADJ
ap-7699	628	10	terms	term	NOUN
ap-7699	628	11	b0	b0	NOUN
ap-7699	628	12	are	be	AUX
ap-7699	628	13	different	different	ADJ
ap-7699	628	14	than	than	ADP
ap-7699	628	15	the	the	DET
ap-7699	628	16	values	value	NOUN
ap-7699	628	17	of	of	ADP
ap-7699	628	18	a0	a0	NOUN
ap-7699	628	19	in	in	ADP
ap-7699	628	20	the	the	DET
ap-7699	628	21	previous	previous	ADJ
ap-7699	628	22	four	four	NUM
ap-7699	628	23	-	-	PUNCT
ap-7699	628	24	derivative	derivative	ADJ
ap-7699	628	25	gravity	gravity	NOUN
ap-7699	628	26	case	case	NOUN
ap-7699	628	27	.	.	PUNCT
ap-7699	629	1	moreover	moreover	ADV
ap-7699	629	2	,	,	PUNCT
ap-7699	629	3	the	the	DET
ap-7699	629	4	numerical	numerical	ADJ
ap-7699	629	5	coefficients	coefficient	NOUN
ap-7699	629	6	b0	b0	PROPN
ap-7699	629	7	and	and	CCONJ
ap-7699	629	8	b1	b1	NOUN
ap-7699	629	9	are	be	AUX
ap-7699	629	10	different	different	ADJ
ap-7699	629	11	for	for	ADP
ap-7699	629	12	different	different	ADJ
ap-7699	629	13	types	type	NOUN
ap-7699	629	14	of	of	ADP
ap-7699	629	15	uv	uv	NOUN
ap-7699	629	16	divergences	divergence	NOUN
ap-7699	629	17	of	of	ADP
ap-7699	629	18	the	the	DET
ap-7699	629	19	effective	effective	ADJ
ap-7699	629	20	action	action	NOUN
ap-7699	629	21	(	(	PUNCT
ap-7699	629	22	r2	r2	PROPN
ap-7699	629	23	,	,	PUNCT
ap-7699	629	24	c2	c2	PROPN
ap-7699	629	25	and	and	CCONJ
ap-7699	629	26	gb	gb	ADP
ap-7699	629	27	terms	term	NOUN
ap-7699	629	28	respectively	respectively	ADV
ap-7699	629	29	)	)	PUNCT
ap-7699	629	30	.	.	PUNCT
ap-7699	630	1	when	when	SCONJ
ap-7699	630	2	the	the	DET
ap-7699	630	3	leading	lead	VERB
ap-7699	630	4	dynamics	dynamic	NOUN
ap-7699	630	5	in	in	ADP
ap-7699	630	6	the	the	DET
ap-7699	630	7	uv	uv	NOUN
ap-7699	630	8	regime	regime	NOUN
ap-7699	630	9	is	be	AUX
ap-7699	630	10	governed	govern	VERB
ap-7699	630	11	by	by	ADP
ap-7699	630	12	the	the	DET
ap-7699	630	13	theory	theory	NOUN
ap-7699	630	14	with	with	ADP
ap-7699	630	15	six	six	NUM
ap-7699	630	16	derivatives	derivative	NOUN
ap-7699	630	17	,	,	PUNCT
ap-7699	630	18	then	then	ADV
ap-7699	630	19	the	the	DET
ap-7699	630	20	fundamental	fundamental	ADJ
ap-7699	630	21	ratio	ratio	NOUN
ap-7699	630	22	x	x	PUNCT
ap-7699	630	23	we	we	PRON
ap-7699	630	24	define	define	VERB
ap-7699	630	25	as	as	ADP
ap-7699	630	26	x	x	X
ap-7699	630	27	=	=	SYM
ap-7699	630	28	ωc,1	ωc,1	ADJ
ap-7699	630	29	ωr,1	ωr,1	NUM
ap-7699	630	30	=	=	SYM
ap-7699	630	31	ωc	ωc	X
ap-7699	630	32	ωr	ωr	INTJ
ap-7699	630	33	.	.	PUNCT
ap-7699	631	1	(	(	PUNCT
ap-7699	631	2	52	52	NUM
ap-7699	631	3	)	)	SYM
ap-7699	631	4	135	135	NUM
ap-7699	631	5	lesław	lesław	PROPN
ap-7699	631	6	rachwał	rachwał	PROPN
ap-7699	631	7	acta	acta	PROPN
ap-7699	631	8	polytechnica	polytechnica	PROPN
ap-7699	631	9	we	we	PRON
ap-7699	631	10	emphasize	emphasize	VERB
ap-7699	631	11	that	that	SCONJ
ap-7699	631	12	in	in	ADP
ap-7699	631	13	such	such	DET
ap-7699	631	14	a	a	DET
ap-7699	631	15	case	case	NOUN
ap-7699	631	16	,	,	PUNCT
ap-7699	631	17	we	we	PRON
ap-7699	631	18	can	can	AUX
ap-7699	631	19	not	not	PART
ap-7699	631	20	continuously	continuously	ADV
ap-7699	631	21	take	take	VERB
ap-7699	631	22	the	the	DET
ap-7699	631	23	limit	limit	NOUN
ap-7699	631	24	ωc	ωc	INTJ
ap-7699	631	25	→	→	SYM
ap-7699	631	26	0	0	NUM
ap-7699	631	27	.	.	PUNCT
ap-7699	632	1	although	although	SCONJ
ap-7699	632	2	,	,	PUNCT
ap-7699	632	3	naively	naively	ADV
ap-7699	632	4	this	this	PRON
ap-7699	632	5	would	would	AUX
ap-7699	632	6	mean	mean	VERB
ap-7699	632	7	the	the	DET
ap-7699	632	8	limit	limit	NOUN
ap-7699	632	9	x	x	PUNCT
ap-7699	632	10	→	→	SYM
ap-7699	632	11	0	0	NUM
ap-7699	632	12	,	,	PUNCT
ap-7699	632	13	the	the	DET
ap-7699	632	14	result	result	NOUN
ap-7699	632	15	just	just	ADV
ap-7699	632	16	b0	b0	NOUN
ap-7699	632	17	from	from	ADP
ap-7699	632	18	(	(	PUNCT
ap-7699	632	19	51	51	NUM
ap-7699	632	20	)	)	PUNCT
ap-7699	632	21	would	would	AUX
ap-7699	632	22	be	be	AUX
ap-7699	632	23	incorrect	incorrect	ADJ
ap-7699	632	24	.	.	PUNCT
ap-7699	633	1	this	this	PRON
ap-7699	633	2	is	be	AUX
ap-7699	633	3	because	because	SCONJ
ap-7699	633	4	in	in	ADP
ap-7699	633	5	this	this	DET
ap-7699	633	6	case	case	NOUN
ap-7699	633	7	we	we	PRON
ap-7699	633	8	can	can	AUX
ap-7699	633	9	not	not	PART
ap-7699	633	10	trust	trust	VERB
ap-7699	633	11	the	the	DET
ap-7699	633	12	method	method	NOUN
ap-7699	633	13	of	of	ADP
ap-7699	633	14	the	the	DET
ap-7699	633	15	computation	computation	NOUN
ap-7699	633	16	.	.	PUNCT
ap-7699	634	1	when	when	SCONJ
ap-7699	634	2	ωc	ωc	PROPN
ap-7699	634	3	=	=	SYM
ap-7699	634	4	0	0	PROPN
ap-7699	635	1	the	the	DET
ap-7699	635	2	kinetic	kinetic	ADJ
ap-7699	635	3	operator	operator	NOUN
ap-7699	635	4	is	be	AUX
ap-7699	635	5	degenerate	degenerate	ADJ
ap-7699	635	6	(	(	PUNCT
ap-7699	635	7	the	the	DET
ap-7699	635	8	same	same	ADJ
ap-7699	635	9	as	as	SCONJ
ap-7699	635	10	it	it	PRON
ap-7699	635	11	was	be	AUX
ap-7699	635	12	in	in	ADP
ap-7699	635	13	the	the	DET
ap-7699	635	14	four	four	NUM
ap-7699	635	15	-	-	PUNCT
ap-7699	635	16	derivative	derivative	ADJ
ap-7699	635	17	gravity	gravity	NOUN
ap-7699	635	18	case	case	NOUN
ap-7699	635	19	)	)	PUNCT
ap-7699	635	20	and	and	CCONJ
ap-7699	635	21	needs	need	VERB
ap-7699	635	22	non	non	ADJ
ap-7699	635	23	-	-	ADJ
ap-7699	635	24	standard	standard	ADJ
ap-7699	635	25	treatment	treatment	NOUN
ap-7699	635	26	,	,	PUNCT
ap-7699	635	27	that	that	SCONJ
ap-7699	635	28	we	we	PRON
ap-7699	635	29	will	will	AUX
ap-7699	635	30	not	not	PART
ap-7699	635	31	discuss	discuss	VERB
ap-7699	635	32	here	here	ADV
ap-7699	635	33	.	.	PUNCT
ap-7699	636	1	moreover	moreover	ADV
ap-7699	636	2	,	,	PUNCT
ap-7699	636	3	looking	look	VERB
ap-7699	636	4	at	at	ADP
ap-7699	636	5	the	the	DET
ap-7699	636	6	last	last	ADJ
ap-7699	636	7	formula	formula	NOUN
ap-7699	636	8	(	(	PUNCT
ap-7699	636	9	51	51	NUM
ap-7699	636	10	)	)	PUNCT
ap-7699	636	11	,	,	PUNCT
ap-7699	636	12	the	the	DET
ap-7699	636	13	other	other	ADJ
ap-7699	636	14	limit	limit	NOUN
ap-7699	636	15	ωr	ωr	X
ap-7699	636	16	→	→	SYM
ap-7699	636	17	0	0	NUM
ap-7699	636	18	is	be	AUX
ap-7699	636	19	clearly	clearly	ADV
ap-7699	636	20	impossible	impossible	ADJ
ap-7699	636	21	too	too	ADV
ap-7699	636	22	,	,	PUNCT
ap-7699	636	23	because	because	SCONJ
ap-7699	636	24	it	it	PRON
ap-7699	636	25	gives	give	VERB
ap-7699	636	26	divergent	divergent	ADJ
ap-7699	636	27	results	result	NOUN
ap-7699	636	28	.	.	PUNCT
ap-7699	637	1	however	however	ADV
ap-7699	637	2	,	,	PUNCT
ap-7699	637	3	in	in	ADP
ap-7699	637	4	this	this	DET
ap-7699	637	5	case	case	NOUN
ap-7699	637	6	(	(	PUNCT
ap-7699	637	7	ωr	ωr	NOUN
ap-7699	637	8	=	=	SYM
ap-7699	637	9	0	0	NUM
ap-7699	637	10	)	)	PUNCT
ap-7699	637	11	and	and	CCONJ
ap-7699	637	12	on	on	ADP
ap-7699	637	13	the	the	DET
ap-7699	637	14	contrary	contrary	NOUN
ap-7699	637	15	to	to	ADP
ap-7699	637	16	the	the	DET
ap-7699	637	17	previous	previous	ADJ
ap-7699	637	18	case	case	NOUN
ap-7699	637	19	(	(	PUNCT
ap-7699	637	20	ωc	ωc	X
ap-7699	637	21	=	=	SYM
ap-7699	637	22	0	0	NUM
ap-7699	637	23	)	)	PUNCT
ap-7699	637	24	,	,	PUNCT
ap-7699	637	25	we	we	PRON
ap-7699	637	26	could	could	AUX
ap-7699	637	27	trust	trust	VERB
ap-7699	637	28	the	the	DET
ap-7699	637	29	computation	computation	NOUN
ap-7699	637	30	at	at	ADP
ap-7699	637	31	least	least	ADJ
ap-7699	637	32	on	on	ADP
ap-7699	637	33	the	the	DET
ap-7699	637	34	level	level	NOUN
ap-7699	637	35	of	of	ADP
ap-7699	637	36	the	the	DET
ap-7699	637	37	kinetic	kinetic	ADJ
ap-7699	637	38	operator	operator	NOUN
ap-7699	637	39	(	(	PUNCT
ap-7699	637	40	hessian	hessian	NOUN
ap-7699	637	41	)	)	PUNCT
ap-7699	637	42	and	and	CCONJ
ap-7699	637	43	its	its	PRON
ap-7699	637	44	subsequent	subsequent	ADJ
ap-7699	637	45	computation	computation	NOUN
ap-7699	637	46	of	of	ADP
ap-7699	637	47	the	the	DET
ap-7699	637	48	functional	functional	ADJ
ap-7699	637	49	trace	trace	NOUN
ap-7699	637	50	of	of	ADP
ap-7699	637	51	the	the	DET
ap-7699	637	52	logarithm	logarithm	NOUN
ap-7699	637	53	of	of	ADP
ap-7699	637	54	.	.	PUNCT
ap-7699	638	1	in	in	ADP
ap-7699	638	2	this	this	DET
ap-7699	638	3	case	case	NOUN
ap-7699	638	4	,	,	PUNCT
ap-7699	638	5	the	the	DET
ap-7699	638	6	final	final	ADJ
ap-7699	638	7	divergent	divergent	ADJ
ap-7699	638	8	results	result	NOUN
ap-7699	638	9	in	in	ADP
ap-7699	638	10	(	(	PUNCT
ap-7699	638	11	51	51	NUM
ap-7699	638	12	)	)	PUNCT
ap-7699	638	13	signify	signify	VERB
ap-7699	638	14	that	that	SCONJ
ap-7699	638	15	the	the	DET
ap-7699	638	16	theory	theory	NOUN
ap-7699	638	17	likely	likely	ADV
ap-7699	638	18	is	be	AUX
ap-7699	638	19	non	non	ADJ
ap-7699	638	20	-	-	ADJ
ap-7699	638	21	renormalizable	renormalizable	ADJ
ap-7699	638	22	and	and	CCONJ
ap-7699	638	23	that	that	SCONJ
ap-7699	638	24	there	there	PRON
ap-7699	638	25	are	be	VERB
ap-7699	638	26	new	new	ADJ
ap-7699	638	27	uv	uv	NOUN
ap-7699	638	28	divergences	divergence	NOUN
ap-7699	638	29	besides	besides	SCONJ
ap-7699	638	30	those	those	DET
ap-7699	638	31	ones	one	NOUN
ap-7699	638	32	derived	derive	VERB
ap-7699	638	33	from	from	ADP
ap-7699	638	34	naive	naive	ADJ
ap-7699	638	35	power	power	NOUN
ap-7699	638	36	counting	count	VERB
ap-7699	638	37	analysis3	analysis3	PROPN
ap-7699	638	38	.	.	PUNCT
ap-7699	639	1	we	we	PRON
ap-7699	639	2	conclude	conclude	VERB
ap-7699	639	3	that	that	SCONJ
ap-7699	639	4	in	in	ADP
ap-7699	639	5	the	the	DET
ap-7699	639	6	case	case	NOUN
ap-7699	639	7	of	of	ADP
ap-7699	639	8	six	six	NUM
ap-7699	639	9	-	-	PUNCT
ap-7699	639	10	derivative	derivative	NOUN
ap-7699	639	11	gravity	gravity	NOUN
ap-7699	639	12	,	,	PUNCT
ap-7699	639	13	both	both	DET
ap-7699	639	14	cases	case	NOUN
ap-7699	639	15	ωr	ωr	ADP
ap-7699	639	16	=	=	SYM
ap-7699	639	17	0	0	NUM
ap-7699	639	18	or	or	CCONJ
ap-7699	639	19	ωc	ωc	ADP
ap-7699	639	20	=	=	SYM
ap-7699	639	21	0	0	NUM
ap-7699	639	22	require	require	VERB
ap-7699	639	23	special	special	ADJ
ap-7699	639	24	treatment	treatment	NOUN
ap-7699	639	25	and	and	CCONJ
ap-7699	639	26	the	the	DET
ap-7699	639	27	type	type	NOUN
ap-7699	639	28	of	of	ADP
ap-7699	639	29	formula	formula	NOUN
ap-7699	639	30	like	like	INTJ
ap-7699	639	31	in	in	ADP
ap-7699	639	32	(	(	PUNCT
ap-7699	639	33	51	51	NUM
ap-7699	639	34	)	)	PUNCT
ap-7699	639	35	or	or	CCONJ
ap-7699	639	36	(	(	PUNCT
ap-7699	639	37	33	33	NUM
ap-7699	639	38	)	)	PUNCT
ap-7699	639	39	does	do	AUX
ap-7699	639	40	not	not	PART
ap-7699	639	41	apply	apply	VERB
ap-7699	639	42	there	there	ADV
ap-7699	639	43	and	and	CCONJ
ap-7699	639	44	the	the	DET
ap-7699	639	45	limiting	limit	VERB
ap-7699	639	46	cases	case	NOUN
ap-7699	639	47	are	be	AUX
ap-7699	639	48	not	not	PART
ap-7699	639	49	continuous	continuous	ADJ
ap-7699	639	50	.	.	PUNCT
ap-7699	640	1	more	more	ADJ
ap-7699	640	2	discussion	discussion	NOUN
ap-7699	640	3	of	of	ADP
ap-7699	640	4	these	these	DET
ap-7699	640	5	limits	limit	NOUN
ap-7699	640	6	is	be	AUX
ap-7699	640	7	contained	contain	VERB
ap-7699	640	8	also	also	ADV
ap-7699	640	9	in	in	ADP
ap-7699	640	10	the	the	DET
ap-7699	640	11	further	further	ADJ
ap-7699	640	12	subsection	subsection	NOUN
ap-7699	640	13	4.4	4.4	NUM
ap-7699	640	14	.	.	PUNCT
ap-7699	641	1	4.2	4.2	NUM
ap-7699	641	2	.	.	PUNCT
ap-7699	642	1	dependence	dependence	NOUN
ap-7699	642	2	of	of	ADP
ap-7699	642	3	the	the	DET
ap-7699	642	4	final	final	ADJ
ap-7699	642	5	results	result	NOUN
ap-7699	642	6	on	on	ADP
ap-7699	642	7	the	the	DET
ap-7699	642	8	fundamental	fundamental	ADJ
ap-7699	642	9	ratio	ratio	NOUN
ap-7699	642	10	x	x	PUNCT
ap-7699	642	11	here	here	ADV
ap-7699	642	12	we	we	PRON
ap-7699	642	13	just	just	ADV
ap-7699	642	14	want	want	VERB
ap-7699	642	15	to	to	PART
ap-7699	642	16	understand	understand	VERB
ap-7699	642	17	the	the	DET
ap-7699	642	18	x	x	NOUN
ap-7699	642	19	-	-	NOUN
ap-7699	642	20	dependence	dependence	NOUN
ap-7699	642	21	in	in	ADP
ap-7699	642	22	the	the	DET
ap-7699	642	23	result	result	NOUN
ap-7699	642	24	for	for	ADP
ap-7699	642	25	the	the	DET
ap-7699	642	26	beta	beta	NOUN
ap-7699	642	27	functions	function	NOUN
ap-7699	642	28	in	in	ADP
ap-7699	642	29	six	six	NUM
ap-7699	642	30	-	-	PUNCT
ap-7699	642	31	derivative	derivative	ADJ
ap-7699	642	32	gravitational	gravitational	ADJ
ap-7699	642	33	theory	theory	NOUN
ap-7699	642	34	.	.	PUNCT
ap-7699	643	1	we	we	PRON
ap-7699	643	2	first	first	ADV
ap-7699	643	3	try	try	VERB
ap-7699	643	4	to	to	PART
ap-7699	643	5	analyze	analyze	VERB
ap-7699	643	6	the	the	DET
ap-7699	643	7	situation	situation	NOUN
ap-7699	643	8	for	for	ADP
ap-7699	643	9	simpler	simple	ADJ
ap-7699	643	10	theory	theory	NOUN
ap-7699	643	11	(	(	PUNCT
ap-7699	643	12	with	with	ADP
ap-7699	643	13	four	four	NUM
ap-7699	643	14	derivatives	derivative	NOUN
ap-7699	643	15	)	)	PUNCT
ap-7699	643	16	,	,	PUNCT
ap-7699	643	17	prepare	prepare	VERB
ap-7699	643	18	the	the	DET
ap-7699	643	19	ground	ground	NOUN
ap-7699	643	20	for	for	ADP
ap-7699	643	21	the	the	DET
ap-7699	643	22	theory	theory	NOUN
ap-7699	643	23	with	with	ADP
ap-7699	643	24	six	six	NUM
ap-7699	643	25	derivatives	derivative	NOUN
ap-7699	643	26	,	,	PUNCT
ap-7699	643	27	and	and	CCONJ
ap-7699	643	28	then	then	ADV
ap-7699	643	29	eventually	eventually	ADV
ap-7699	643	30	draw	draw	VERB
ap-7699	643	31	some	some	DET
ap-7699	643	32	comparison	comparison	NOUN
ap-7699	643	33	between	between	ADP
ap-7699	643	34	the	the	DET
ap-7699	643	35	two	two	NUM
ap-7699	643	36	.	.	PUNCT
ap-7699	644	1	we	we	PRON
ap-7699	644	2	look	look	VERB
ap-7699	644	3	for	for	ADP
ap-7699	644	4	singular	singular	ADJ
ap-7699	644	5	1	1	NUM
ap-7699	644	6	ωr	ωr	ADP
ap-7699	644	7	or	or	CCONJ
ap-7699	644	8	1	1	NUM
ap-7699	644	9	ωc	ωc	INTJ
ap-7699	644	10	dependence	dependence	NOUN
ap-7699	644	11	(	(	PUNCT
ap-7699	644	12	corresponding	correspond	VERB
ap-7699	644	13	to	to	ADP
ap-7699	644	14	positive	positive	ADJ
ap-7699	644	15	or	or	CCONJ
ap-7699	644	16	negative	negative	ADJ
ap-7699	644	17	powers	power	NOUN
ap-7699	644	18	of	of	ADP
ap-7699	644	19	the	the	DET
ap-7699	644	20	fundamental	fundamental	ADJ
ap-7699	644	21	ratio	ratio	NOUN
ap-7699	644	22	x	x	PUNCT
ap-7699	645	1	=	=	SYM
ap-7699	645	2	ωc	ωc	X
ap-7699	645	3	ωr	ωr	NOUN
ap-7699	645	4	respectively	respectively	ADV
ap-7699	645	5	)	)	PUNCT
ap-7699	645	6	in	in	ADP
ap-7699	645	7	functional	functional	ADJ
ap-7699	645	8	traces	trace	NOUN
ap-7699	645	9	of	of	ADP
ap-7699	645	10	the	the	DET
ap-7699	645	11	fundamental	fundamental	ADJ
ap-7699	645	12	operators	operator	NOUN
ap-7699	645	13	defining	define	VERB
ap-7699	645	14	the	the	DET
ap-7699	645	15	dynamics	dynamic	NOUN
ap-7699	645	16	of	of	ADP
ap-7699	645	17	quantum	quantum	ADJ
ap-7699	645	18	perturbations	perturbation	NOUN
ap-7699	645	19	important	important	ADJ
ap-7699	645	20	to	to	ADP
ap-7699	645	21	the	the	DET
ap-7699	645	22	one	one	NUM
ap-7699	645	23	-	-	PUNCT
ap-7699	645	24	loop	loop	NOUN
ap-7699	645	25	perturbative	perturbative	ADJ
ap-7699	645	26	level	level	NOUN
ap-7699	645	27	.	.	PUNCT
ap-7699	646	1	we	we	PRON
ap-7699	646	2	note	note	VERB
ap-7699	646	3	that	that	SCONJ
ap-7699	646	4	the	the	DET
ap-7699	646	5	two	two	NUM
ap-7699	646	6	definitions	definition	NOUN
ap-7699	646	7	for	for	ADP
ap-7699	646	8	the	the	DET
ap-7699	646	9	ratio	ratio	NOUN
ap-7699	646	10	x	x	PUNCT
ap-7699	646	11	in	in	ADP
ap-7699	646	12	(	(	PUNCT
ap-7699	646	13	50	50	NUM
ap-7699	646	14	)	)	PUNCT
ap-7699	646	15	and	and	CCONJ
ap-7699	646	16	in	in	ADP
ap-7699	646	17	(	(	PUNCT
ap-7699	646	18	52	52	NUM
ap-7699	646	19	)	)	PUNCT
ap-7699	646	20	respectively	respectively	ADV
ap-7699	646	21	for	for	ADP
ap-7699	646	22	fourand	fourand	ADJ
ap-7699	646	23	six	six	NUM
ap-7699	646	24	-	-	PUNCT
ap-7699	646	25	derivative	derivative	ADJ
ap-7699	646	26	gravities	gravity	NOUN
ap-7699	646	27	are	be	AUX
ap-7699	646	28	compatible	compatible	ADJ
ap-7699	646	29	with	with	ADP
ap-7699	646	30	each	each	DET
ap-7699	646	31	other	other	ADJ
ap-7699	646	32	and	and	CCONJ
ap-7699	646	33	the	the	DET
ap-7699	646	34	proper	proper	ADJ
ap-7699	646	35	use	use	NOUN
ap-7699	646	36	of	of	ADP
ap-7699	646	37	them	they	PRON
ap-7699	646	38	(	(	PUNCT
ap-7699	646	39	with	with	ADP
ap-7699	646	40	theta	theta	NOUN
ap-7699	646	41	or	or	CCONJ
ap-7699	646	42	omega	omega	NOUN
ap-7699	646	43	couplings	coupling	NOUN
ap-7699	646	44	)	)	PUNCT
ap-7699	646	45	is	be	AUX
ap-7699	646	46	obvious	obvious	ADJ
ap-7699	646	47	in	in	ADP
ap-7699	646	48	the	the	DET
ap-7699	646	49	specific	specific	ADJ
ap-7699	646	50	contexts	context	NOUN
ap-7699	646	51	they	they	PRON
ap-7699	646	52	are	be	AUX
ap-7699	646	53	used	use	VERB
ap-7699	646	54	in	in	ADP
ap-7699	646	55	.	.	PUNCT
ap-7699	647	1	below	below	ADV
ap-7699	647	2	,	,	PUNCT
ap-7699	647	3	when	when	SCONJ
ap-7699	647	4	we	we	PRON
ap-7699	647	5	will	will	AUX
ap-7699	647	6	refer	refer	VERB
ap-7699	647	7	to	to	ADP
ap-7699	647	8	features	feature	NOUN
ap-7699	647	9	shared	share	VERB
ap-7699	647	10	by	by	ADP
ap-7699	647	11	both	both	DET
ap-7699	647	12	fourand	fourand	ADJ
ap-7699	647	13	six	six	NUM
ap-7699	647	14	-	-	PUNCT
ap-7699	647	15	derivative	derivative	ADJ
ap-7699	647	16	gravitational	gravitational	ADJ
ap-7699	647	17	theories	theory	NOUN
ap-7699	647	18	,	,	PUNCT
ap-7699	647	19	we	we	PRON
ap-7699	647	20	will	will	AUX
ap-7699	647	21	use	use	VERB
ap-7699	647	22	common	common	ADJ
ap-7699	647	23	notation	notation	NOUN
ap-7699	647	24	with	with	ADP
ap-7699	647	25	general	general	ADJ
ap-7699	647	26	ωc	ωc	INTJ
ap-7699	647	27	,	,	PUNCT
ap-7699	647	28	ωr	ωr	ADJ
ap-7699	647	29	and	and	CCONJ
ap-7699	647	30	x	x	SYM
ap-7699	647	31	coefficients	coefficient	NOUN
ap-7699	647	32	and	and	CCONJ
ap-7699	647	33	we	we	PRON
ap-7699	647	34	will	will	AUX
ap-7699	647	35	not	not	PART
ap-7699	647	36	distinguish	distinguish	VERB
ap-7699	647	37	and	and	CCONJ
ap-7699	647	38	not	not	PART
ap-7699	647	39	change	change	VERB
ap-7699	647	40	it	it	PRON
ap-7699	647	41	to	to	ADP
ap-7699	647	42	the	the	DET
ap-7699	647	43	special	special	ADJ
ap-7699	647	44	notation	notation	NOUN
ap-7699	647	45	originally	originally	ADV
ap-7699	647	46	adequate	adequate	ADJ
ap-7699	647	47	only	only	ADV
ap-7699	647	48	to	to	PART
ap-7699	647	49	stelle	stelle	VERB
ap-7699	647	50	quadratic	quadratic	ADJ
ap-7699	647	51	theory	theory	NOUN
ap-7699	647	52	(	(	PUNCT
ap-7699	647	53	with	with	ADP
ap-7699	647	54	θc	θc	INTJ
ap-7699	647	55	,	,	PUNCT
ap-7699	647	56	θr	θr	NOUN
ap-7699	647	57	and	and	CCONJ
ap-7699	647	58	x4−der	x4−der	PUNCT
ap-7699	647	59	)	)	PUNCT
ap-7699	647	60	.	.	PUNCT
ap-7699	648	1	we	we	PRON
ap-7699	648	2	hope	hope	VERB
ap-7699	648	3	that	that	SCONJ
ap-7699	648	4	this	this	PRON
ap-7699	648	5	will	will	AUX
ap-7699	648	6	not	not	PART
ap-7699	648	7	lead	lead	VERB
ap-7699	648	8	to	to	ADP
ap-7699	648	9	any	any	DET
ap-7699	648	10	confusion	confusion	NOUN
ap-7699	648	11	.	.	PUNCT
ap-7699	649	1	we	we	PRON
ap-7699	649	2	emphasize	emphasize	VERB
ap-7699	649	3	,	,	PUNCT
ap-7699	649	4	that	that	SCONJ
ap-7699	649	5	when	when	SCONJ
ap-7699	649	6	we	we	PRON
ap-7699	649	7	have	have	VERB
ap-7699	649	8	one	one	NUM
ap-7699	649	9	of	of	ADP
ap-7699	649	10	the	the	DET
ap-7699	649	11	two	two	NUM
ap-7699	649	12	terms	term	NOUN
ap-7699	649	13	missing	miss	VERB
ap-7699	649	14	–	–	PUNCT
ap-7699	649	15	with	with	ADP
ap-7699	649	16	ωr	ωr	ADP
ap-7699	649	17	or	or	CCONJ
ap-7699	649	18	ωc	ωc	ADP
ap-7699	649	19	front	front	ADJ
ap-7699	649	20	couplings	coupling	NOUN
ap-7699	649	21	–	–	PUNCT
ap-7699	649	22	in	in	ADP
ap-7699	649	23	the	the	DET
ap-7699	649	24	leading	leading	NOUN
ap-7699	649	25	in	in	ADP
ap-7699	649	26	uv	uv	NOUN
ap-7699	649	27	part	part	NOUN
ap-7699	649	28	of	of	ADP
ap-7699	649	29	the	the	DET
ap-7699	649	30	action	action	NOUN
ap-7699	649	31	of	of	ADP
ap-7699	649	32	the	the	DET
ap-7699	649	33	model	model	NOUN
ap-7699	649	34	,	,	PUNCT
ap-7699	649	35	then	then	ADV
ap-7699	649	36	3we	3we	NOUN
ap-7699	649	37	remark	remark	VERB
ap-7699	649	38	that	that	SCONJ
ap-7699	649	39	the	the	DET
ap-7699	649	40	generic	generic	ADJ
ap-7699	649	41	power	power	NOUN
ap-7699	649	42	counting	counting	NOUN
ap-7699	649	43	analysis	analysis	NOUN
ap-7699	649	44	of	of	ADP
ap-7699	649	45	uv	uv	NOUN
ap-7699	649	46	divergences	divergence	NOUN
ap-7699	649	47	in	in	ADP
ap-7699	649	48	six	six	NUM
ap-7699	649	49	-	-	PUNCT
ap-7699	649	50	derivative	derivative	ADJ
ap-7699	649	51	quantum	quantum	NOUN
ap-7699	649	52	gravity	gravity	NOUN
ap-7699	649	53	,	,	PUNCT
ap-7699	649	54	as	as	SCONJ
ap-7699	649	55	presented	present	VERB
ap-7699	649	56	in	in	ADP
ap-7699	649	57	section	section	NOUN
ap-7699	649	58	1.1	1.1	NUM
ap-7699	649	59	,	,	PUNCT
ap-7699	649	60	applies	apply	VERB
ap-7699	649	61	only	only	ADV
ap-7699	649	62	in	in	ADP
ap-7699	649	63	cases	case	NOUN
ap-7699	649	64	when	when	SCONJ
ap-7699	649	65	ωc	ωc	ADP
ap-7699	649	66	̸=	̸=	PROPN
ap-7699	649	67	0	0	NUM
ap-7699	649	68	and	and	CCONJ
ap-7699	649	69	ωr	ωr	ADP
ap-7699	649	70	̸=	̸=	PROPN
ap-7699	649	71	0	0	NUM
ap-7699	649	72	.	.	PUNCT
ap-7699	650	1	the	the	DET
ap-7699	650	2	theory	theory	NOUN
ap-7699	650	3	is	be	AUX
ap-7699	650	4	badly	badly	ADV
ap-7699	650	5	non	non	ADJ
ap-7699	650	6	-	-	ADJ
ap-7699	650	7	renormalizable	renormalizable	ADJ
ap-7699	650	8	and	and	CCONJ
ap-7699	650	9	degenerate	degenerate	ADJ
ap-7699	650	10	.	.	PUNCT
ap-7699	651	1	for	for	ADP
ap-7699	651	2	example	example	NOUN
ap-7699	651	3	,	,	PUNCT
ap-7699	651	4	one	one	PRON
ap-7699	651	5	can	can	AUX
ap-7699	651	6	not	not	PART
ap-7699	651	7	define	define	VERB
ap-7699	651	8	even	even	ADV
ap-7699	651	9	at	at	ADP
ap-7699	651	10	the	the	DET
ap-7699	651	11	tree	tree	NOUN
ap-7699	651	12	-	-	PUNCT
ap-7699	651	13	level	level	NOUN
ap-7699	651	14	the	the	DET
ap-7699	651	15	flat	flat	ADJ
ap-7699	651	16	spacetime	spacetime	NOUN
ap-7699	651	17	graviton	graviton	NOUN
ap-7699	651	18	propagator	propagator	NOUN
ap-7699	651	19	since	since	SCONJ
ap-7699	651	20	the	the	DET
ap-7699	651	21	parts	part	NOUN
ap-7699	651	22	proportional	proportional	ADJ
ap-7699	651	23	to	to	ADP
ap-7699	651	24	p	p	PROPN
ap-7699	651	25	(	(	PUNCT
ap-7699	651	26	0	0	NUM
ap-7699	651	27	)	)	PUNCT
ap-7699	651	28	or	or	CCONJ
ap-7699	651	29	p	p	X
ap-7699	651	30	(	(	PUNCT
ap-7699	651	31	2	2	NUM
ap-7699	651	32	)	)	PUNCT
ap-7699	651	33	projectors	projector	NOUN
ap-7699	651	34	do	do	AUX
ap-7699	651	35	not	not	PART
ap-7699	651	36	exist	exist	VERB
ap-7699	651	37	in	in	ADP
ap-7699	651	38	cases	case	NOUN
ap-7699	651	39	when	when	SCONJ
ap-7699	651	40	ωr	ωr	ADV
ap-7699	651	41	=	=	SYM
ap-7699	651	42	0	0	NUM
ap-7699	651	43	or	or	CCONJ
ap-7699	651	44	ωc	ωc	ADP
ap-7699	651	45	=	=	SYM
ap-7699	651	46	0	0	NUM
ap-7699	651	47	respectively	respectively	ADV
ap-7699	651	48	.	.	PUNCT
ap-7699	652	1	however	however	ADV
ap-7699	652	2	,	,	PUNCT
ap-7699	652	3	there	there	ADV
ap-7699	652	4	we	we	PRON
ap-7699	652	5	can	can	AUX
ap-7699	652	6	still	still	ADV
ap-7699	652	7	use	use	VERB
ap-7699	652	8	the	the	DET
ap-7699	652	9	barvinsky	barvinsky	ADJ
ap-7699	652	10	-	-	PUNCT
ap-7699	652	11	vilkovisky	vilkovisky	NOUN
ap-7699	652	12	(	(	PUNCT
ap-7699	652	13	bv	bv	NOUN
ap-7699	652	14	)	)	PUNCT
ap-7699	652	15	trace	trace	NOUN
ap-7699	652	16	technology	technology	NOUN
ap-7699	652	17	to	to	PART
ap-7699	652	18	compute	compute	VERB
ap-7699	652	19	the	the	DET
ap-7699	652	20	new	new	ADJ
ap-7699	652	21	uv	uv	NOUN
ap-7699	652	22	divergences	divergence	NOUN
ap-7699	652	23	.	.	PUNCT
ap-7699	653	1	the	the	DET
ap-7699	653	2	fact	fact	NOUN
ap-7699	653	3	that	that	SCONJ
ap-7699	653	4	they	they	PRON
ap-7699	653	5	are	be	AUX
ap-7699	653	6	not	not	PART
ap-7699	653	7	possible	possible	ADJ
ap-7699	653	8	to	to	PART
ap-7699	653	9	be	be	AUX
ap-7699	653	10	absorbed	absorb	VERB
ap-7699	653	11	in	in	ADP
ap-7699	653	12	counterterms	counterterm	NOUN
ap-7699	653	13	of	of	ADP
ap-7699	653	14	the	the	DET
ap-7699	653	15	original	original	ADJ
ap-7699	653	16	theory	theory	NOUN
ap-7699	653	17	is	be	AUX
ap-7699	653	18	another	another	DET
ap-7699	653	19	story	story	NOUN
ap-7699	653	20	related	relate	VERB
ap-7699	653	21	to	to	ADP
ap-7699	653	22	the	the	DET
ap-7699	653	23	non	non	NOUN
ap-7699	653	24	-	-	NOUN
ap-7699	653	25	renormalizability	renormalizability	NOUN
ap-7699	653	26	of	of	ADP
ap-7699	653	27	the	the	DET
ap-7699	653	28	model	model	NOUN
ap-7699	653	29	that	that	SCONJ
ap-7699	653	30	we	we	PRON
ap-7699	653	31	will	will	AUX
ap-7699	653	32	not	not	PART
ap-7699	653	33	discuss	discuss	VERB
ap-7699	653	34	further	far	ADV
ap-7699	653	35	here	here	ADV
ap-7699	653	36	.	.	PUNCT
ap-7699	654	1	we	we	PRON
ap-7699	654	2	think	think	VERB
ap-7699	654	3	that	that	SCONJ
ap-7699	654	4	,	,	PUNCT
ap-7699	654	5	for	for	ADP
ap-7699	654	6	example	example	NOUN
ap-7699	654	7	,	,	PUNCT
ap-7699	654	8	using	use	VERB
ap-7699	654	9	the	the	DET
ap-7699	654	10	bv	bv	PROPN
ap-7699	654	11	technique	technique	NOUN
ap-7699	654	12	one	one	PRON
ap-7699	654	13	can	can	AUX
ap-7699	654	14	fast	fast	VERB
ap-7699	654	15	compute	compute	VERB
ap-7699	654	16	uv	uv	NOUN
ap-7699	654	17	divergences	divergence	NOUN
ap-7699	654	18	in	in	ADP
ap-7699	654	19	einstein	einstein	NOUN
ap-7699	654	20	-	-	PUNCT
ap-7699	654	21	hilbert	hilbert	PROPN
ap-7699	654	22	(	(	PUNCT
ap-7699	654	23	e	e	NOUN
ap-7699	654	24	-	-	NOUN
ap-7699	654	25	h	h	NOUN
ap-7699	654	26	)	)	PUNCT
ap-7699	654	27	theory	theory	NOUN
ap-7699	654	28	in	in	ADP
ap-7699	654	29	d	d	PROPN
ap-7699	654	30	=	=	SYM
ap-7699	654	31	4	4	NUM
ap-7699	654	32	(	(	PUNCT
ap-7699	654	33	which	which	PRON
ap-7699	654	34	is	be	AUX
ap-7699	654	35	a	a	DET
ap-7699	654	36	non	non	ADJ
ap-7699	654	37	-	-	ADJ
ap-7699	654	38	renormalizable	renormalizable	ADJ
ap-7699	654	39	model	model	NOUN
ap-7699	654	40	)	)	PUNCT
ap-7699	654	41	and	and	CCONJ
ap-7699	654	42	this	this	DET
ap-7699	654	43	method	method	NOUN
ap-7699	654	44	still	still	ADV
ap-7699	654	45	gives	give	VERB
ap-7699	654	46	a	a	DET
ap-7699	654	47	definite	definite	ADJ
ap-7699	654	48	result	result	NOUN
ap-7699	654	49	(	(	PUNCT
ap-7699	654	50	besides	besides	SCONJ
ap-7699	654	51	that	that	SCONJ
ap-7699	654	52	these	these	DET
ap-7699	654	53	divergences	divergence	NOUN
ap-7699	654	54	are	be	AUX
ap-7699	654	55	gauge	gauge	ADV
ap-7699	654	56	-	-	PUNCT
ap-7699	654	57	fixing	fix	VERB
ap-7699	654	58	dependent	dependent	ADJ
ap-7699	654	59	and	and	CCONJ
ap-7699	654	60	valid	valid	ADJ
ap-7699	654	61	only	only	ADV
ap-7699	654	62	for	for	ADP
ap-7699	654	63	one	one	NUM
ap-7699	654	64	gauge	gauge	NOUN
ap-7699	654	65	choice	choice	NOUN
ap-7699	654	66	)	)	PUNCT
ap-7699	654	67	.	.	PUNCT
ap-7699	655	1	moreover	moreover	ADV
ap-7699	655	2	,	,	PUNCT
ap-7699	655	3	using	use	VERB
ap-7699	655	4	the	the	DET
ap-7699	655	5	bv	bv	PROPN
ap-7699	655	6	traces	trace	NOUN
ap-7699	655	7	machinery	machinery	NOUN
ap-7699	655	8	and	and	CCONJ
ap-7699	655	9	the	the	DET
ap-7699	655	10	minimal	minimal	ADJ
ap-7699	655	11	form	form	NOUN
ap-7699	655	12	of	of	ADP
ap-7699	655	13	the	the	DET
ap-7699	655	14	kinetic	kinetic	ADJ
ap-7699	655	15	operator	operator	NOUN
ap-7699	655	16	is	be	AUX
ap-7699	655	17	essential	essential	ADJ
ap-7699	655	18	to	to	PART
ap-7699	655	19	get	get	VERB
ap-7699	655	20	final	final	ADJ
ap-7699	655	21	results	result	NOUN
ap-7699	655	22	for	for	ADP
ap-7699	655	23	the	the	DET
ap-7699	655	24	unique	unique	ADJ
ap-7699	655	25	effective	effective	ADJ
ap-7699	655	26	action	action	NOUN
ap-7699	655	27	(	(	PUNCT
ap-7699	655	28	as	as	SCONJ
ap-7699	655	29	introduced	introduce	VERB
ap-7699	655	30	by	by	ADP
ap-7699	655	31	barvinsky	barvinsky	ADJ
ap-7699	656	1	[	[	X
ap-7699	656	2	27	27	NUM
ap-7699	656	3	,	,	PUNCT
ap-7699	656	4	48	48	NUM
ap-7699	656	5	]	]	PUNCT
ap-7699	656	6	)	)	PUNCT
ap-7699	656	7	,	,	PUNCT
ap-7699	656	8	also	also	ADV
ap-7699	656	9	in	in	ADP
ap-7699	656	10	perturbatively	perturbatively	ADV
ap-7699	656	11	non	non	ADJ
ap-7699	656	12	-	-	ADJ
ap-7699	656	13	renormalizable	renormalizable	ADJ
ap-7699	656	14	models	model	NOUN
ap-7699	656	15	.	.	PUNCT
ap-7699	657	1	in	in	ADP
ap-7699	657	2	quadratic	quadratic	ADJ
ap-7699	657	3	gravity	gravity	NOUN
ap-7699	657	4	(	(	PUNCT
ap-7699	657	5	four	four	NUM
ap-7699	657	6	-	-	PUNCT
ap-7699	657	7	derivative	derivative	ADJ
ap-7699	657	8	theory	theory	NOUN
ap-7699	657	9	)	)	PUNCT
ap-7699	657	10	in	in	ADP
ap-7699	657	11	d	d	PROPN
ap-7699	657	12	=	=	SYM
ap-7699	657	13	4	4	NUM
ap-7699	657	14	,	,	PUNCT
ap-7699	657	15	setting	set	VERB
ap-7699	657	16	θc	θc	NOUN
ap-7699	657	17	=	=	SYM
ap-7699	657	18	0	0	NUM
ap-7699	657	19	is	be	AUX
ap-7699	657	20	highly	highly	ADV
ap-7699	657	21	problematic	problematic	ADJ
ap-7699	657	22	.	.	PUNCT
ap-7699	658	1	the	the	DET
ap-7699	658	2	same	same	ADJ
ap-7699	658	3	regards	regard	NOUN
ap-7699	658	4	taking	take	VERB
ap-7699	658	5	the	the	DET
ap-7699	658	6	limit	limit	NOUN
ap-7699	658	7	θc	θc	INTJ
ap-7699	658	8	→	→	SYM
ap-7699	658	9	0	0	NUM
ap-7699	658	10	,	,	PUNCT
ap-7699	658	11	because	because	SCONJ
ap-7699	658	12	then	then	ADV
ap-7699	658	13	the	the	DET
ap-7699	658	14	pure	pure	ADJ
ap-7699	658	15	r2	r2	NOUN
ap-7699	658	16	theory	theory	NOUN
ap-7699	658	17	can	can	AUX
ap-7699	658	18	be	be	AUX
ap-7699	658	19	fully	fully	ADV
ap-7699	658	20	gauge	gauge	NOUN
ap-7699	658	21	-	-	PUNCT
ap-7699	658	22	fixed	fix	VERB
ap-7699	658	23	.	.	PUNCT
ap-7699	659	1	and	and	CCONJ
ap-7699	659	2	for	for	ADP
ap-7699	659	3	example	example	NOUN
ap-7699	659	4	,	,	PUNCT
ap-7699	659	5	this	this	PRON
ap-7699	659	6	means	mean	VERB
ap-7699	659	7	that	that	SCONJ
ap-7699	659	8	on	on	ADP
ap-7699	659	9	flat	flat	ADJ
ap-7699	659	10	spacetime	spacetime	NOUN
ap-7699	659	11	background	background	NOUN
ap-7699	659	12	,	,	PUNCT
ap-7699	659	13	the	the	DET
ap-7699	659	14	kinetic	kinetic	ADJ
ap-7699	659	15	operator	operator	NOUN
ap-7699	659	16	vanishes	vanish	VERB
ap-7699	659	17	,	,	PUNCT
ap-7699	659	18	perturbative	perturbative	ADJ
ap-7699	659	19	modes	mode	NOUN
ap-7699	659	20	are	be	AUX
ap-7699	659	21	not	not	PART
ap-7699	659	22	dynamical	dynamical	ADJ
ap-7699	659	23	and	and	CCONJ
ap-7699	659	24	there	there	PRON
ap-7699	659	25	is	be	VERB
ap-7699	659	26	no	no	DET
ap-7699	659	27	graviton	graviton	NOUN
ap-7699	659	28	propagator	propagator	NOUN
ap-7699	659	29	.	.	PUNCT
ap-7699	660	1	using	use	VERB
ap-7699	660	2	the	the	DET
ap-7699	660	3	standard	standard	ADJ
ap-7699	660	4	technique	technique	NOUN
ap-7699	660	5	of	of	ADP
ap-7699	660	6	the	the	DET
ap-7699	660	7	one	one	NUM
ap-7699	660	8	-	-	PUNCT
ap-7699	660	9	loop	loop	NOUN
ap-7699	660	10	effective	effective	ADJ
ap-7699	660	11	action	action	NOUN
ap-7699	660	12	one	one	NUM
ap-7699	660	13	sees	see	VERB
ap-7699	660	14	that	that	SCONJ
ap-7699	660	15	the	the	DET
ap-7699	660	16	traces	trace	NOUN
ap-7699	660	17	of	of	ADP
ap-7699	660	18	the	the	DET
ap-7699	660	19	functional	functional	ADJ
ap-7699	660	20	logarithms	logarithm	NOUN
ap-7699	660	21	of	of	ADP
ap-7699	660	22	ĥ	ĥ	PROPN
ap-7699	660	23	and	and	CCONJ
ap-7699	660	24	of	of	ADP
ap-7699	660	25	ĉ	ĉ	X
ap-7699	660	26	operators	operator	NOUN
ap-7699	660	27	both	both	PRON
ap-7699	660	28	contain	contain	VERB
ap-7699	660	29	singular	singular	ADJ
ap-7699	660	30	expressions	expression	NOUN
ap-7699	660	31	1	1	NUM
ap-7699	660	32	θc	θc	NOUN
ap-7699	660	33	,	,	PUNCT
ap-7699	660	34	and	and	CCONJ
ap-7699	660	35	there	there	PRON
ap-7699	660	36	is	be	VERB
ap-7699	660	37	no	no	DET
ap-7699	660	38	final	final	ADJ
ap-7699	660	39	cancellation	cancellation	NOUN
ap-7699	660	40	between	between	ADP
ap-7699	660	41	them	they	PRON
ap-7699	660	42	.	.	PUNCT
ap-7699	661	1	in	in	ADP
ap-7699	661	2	this	this	DET
ap-7699	661	3	case	case	NOUN
ap-7699	661	4	of	of	ADP
ap-7699	661	5	four	four	NUM
ap-7699	661	6	-	-	PUNCT
ap-7699	661	7	derivative	derivative	ADJ
ap-7699	661	8	gravity	gravity	NOUN
ap-7699	661	9	,	,	PUNCT
ap-7699	661	10	in	in	ADP
ap-7699	661	11	final	final	ADJ
ap-7699	661	12	results	result	NOUN
ap-7699	661	13	for	for	ADP
ap-7699	661	14	uv	uv	NOUN
ap-7699	661	15	divergences	divergence	NOUN
ap-7699	661	16	,	,	PUNCT
ap-7699	661	17	we	we	PRON
ap-7699	661	18	really	really	ADV
ap-7699	661	19	see	see	VERB
ap-7699	661	20	inverse	inverse	ADJ
ap-7699	661	21	powers	power	NOUN
ap-7699	661	22	of	of	ADP
ap-7699	661	23	the	the	DET
ap-7699	661	24	fundamental	fundamental	ADJ
ap-7699	661	25	ratio	ratio	NOUN
ap-7699	661	26	of	of	ADP
ap-7699	661	27	the	the	DET
ap-7699	661	28	theory	theory	NOUN
ap-7699	661	29	x4−der	x4−der	PUNCT
ap-7699	661	30	.	.	PUNCT
ap-7699	662	1	the	the	DET
ap-7699	662	2	results	result	NOUN
ap-7699	662	3	in	in	ADP
ap-7699	662	4	quadratic	quadratic	ADJ
ap-7699	662	5	stelle	stelle	NOUN
ap-7699	662	6	gravity	gravity	NOUN
ap-7699	662	7	,	,	PUNCT
ap-7699	662	8	when	when	SCONJ
ap-7699	662	9	we	we	PRON
ap-7699	662	10	set	set	VERB
ap-7699	662	11	θr	θr	NOUN
ap-7699	662	12	=	=	SYM
ap-7699	662	13	0	0	NUM
ap-7699	662	14	,	,	PUNCT
ap-7699	662	15	are	be	AUX
ap-7699	662	16	not	not	PART
ap-7699	662	17	continuous	continuous	ADJ
ap-7699	662	18	either	either	ADV
ap-7699	662	19	.	.	PUNCT
ap-7699	663	1	because	because	SCONJ
ap-7699	663	2	in	in	ADP
ap-7699	663	3	this	this	DET
ap-7699	663	4	case	case	NOUN
ap-7699	663	5	the	the	DET
ap-7699	663	6	local	local	ADJ
ap-7699	663	7	gauge	gauge	NOUN
ap-7699	663	8	symmetry	symmetry	NOUN
ap-7699	663	9	of	of	ADP
ap-7699	663	10	the	the	DET
ap-7699	663	11	theory	theory	NOUN
ap-7699	663	12	is	be	AUX
ap-7699	663	13	enhanced	enhance	VERB
ap-7699	663	14	.	.	PUNCT
ap-7699	664	1	we	we	PRON
ap-7699	664	2	have	have	VERB
ap-7699	664	3	also	also	ADV
ap-7699	664	4	conformal	conformal	ADJ
ap-7699	664	5	symmetry	symmetry	NOUN
ap-7699	664	6	there	there	ADV
ap-7699	664	7	.	.	PUNCT
ap-7699	665	1	the	the	DET
ap-7699	665	2	model	model	NOUN
ap-7699	665	3	is	be	AUX
ap-7699	665	4	identical	identical	ADJ
ap-7699	665	5	to	to	ADP
ap-7699	665	6	the	the	DET
ap-7699	665	7	weyl	weyl	VERB
ap-7699	665	8	gravity	gravity	NOUN
ap-7699	665	9	in	in	ADP
ap-7699	665	10	d	d	PROPN
ap-7699	665	11	=	=	SYM
ap-7699	665	12	4	4	NUM
ap-7699	665	13	described	describe	VERB
ap-7699	665	14	by	by	ADP
ap-7699	665	15	the	the	DET
ap-7699	665	16	action	action	NOUN
ap-7699	665	17	c2	c2	PROPN
ap-7699	665	18	.	.	PUNCT
ap-7699	666	1	as	as	SCONJ
ap-7699	666	2	emphasized	emphasize	VERB
ap-7699	666	3	in	in	ADP
ap-7699	666	4	[	[	X
ap-7699	666	5	41	41	NUM
ap-7699	666	6	]	]	PUNCT
ap-7699	666	7	,	,	PUNCT
ap-7699	666	8	this	this	DET
ap-7699	666	9	case	case	NOUN
ap-7699	666	10	of	of	ADP
ap-7699	666	11	θr	θr	NOUN
ap-7699	666	12	=	=	SYM
ap-7699	666	13	0	0	PUNCT
ap-7699	666	14	has	have	VERB
ap-7699	666	15	to	to	PART
ap-7699	666	16	be	be	AUX
ap-7699	666	17	treated	treat	VERB
ap-7699	666	18	specially	specially	ADV
ap-7699	666	19	.	.	PUNCT
ap-7699	667	1	also	also	ADV
ap-7699	667	2	,	,	PUNCT
ap-7699	667	3	in	in	ADP
ap-7699	667	4	this	this	DET
ap-7699	667	5	model	model	NOUN
ap-7699	667	6	,	,	PUNCT
ap-7699	667	7	the	the	DET
ap-7699	667	8	conformal	conformal	NOUN
ap-7699	667	9	symmetry	symmetry	NOUN
ap-7699	667	10	has	have	VERB
ap-7699	667	11	to	to	PART
ap-7699	667	12	be	be	AUX
ap-7699	667	13	gauge	gauge	NOUN
ap-7699	667	14	-	-	PUNCT
ap-7699	667	15	fixed	fix	VERB
ap-7699	667	16	and	and	CCONJ
ap-7699	667	17	in	in	ADP
ap-7699	667	18	this	this	DET
ap-7699	667	19	special	special	ADJ
ap-7699	667	20	case	case	NOUN
ap-7699	667	21	the	the	DET
ap-7699	667	22	operators	operator	NOUN
ap-7699	667	23	ĥ	ĥ	X
ap-7699	667	24	and	and	CCONJ
ap-7699	667	25	ĉ	ĉ	X
ap-7699	667	26	are	be	AUX
ap-7699	667	27	different	different	ADJ
ap-7699	667	28	than	than	ADP
ap-7699	667	29	their	their	PRON
ap-7699	667	30	limiting	limit	VERB
ap-7699	667	31	versions	version	NOUN
ap-7699	667	32	under	under	ADP
ap-7699	667	33	θr	θr	NOUN
ap-7699	667	34	→	→	SYM
ap-7699	667	35	0	0	NUM
ap-7699	667	36	limit	limit	NOUN
ap-7699	667	37	from	from	ADP
ap-7699	667	38	the	the	DET
ap-7699	667	39	generic	generic	ADJ
ap-7699	667	40	four	four	NUM
ap-7699	667	41	-	-	PUNCT
ap-7699	667	42	derivative	derivative	ADJ
ap-7699	667	43	theory	theory	NOUN
ap-7699	667	44	case	case	NOUN
ap-7699	667	45	.	.	PUNCT
ap-7699	668	1	hence	hence	ADV
ap-7699	668	2	also	also	ADV
ap-7699	668	3	the	the	DET
ap-7699	668	4	results	result	NOUN
ap-7699	668	5	for	for	ADP
ap-7699	668	6	the	the	DET
ap-7699	668	7	beta	beta	NOUN
ap-7699	668	8	functions	function	NOUN
ap-7699	668	9	are	be	AUX
ap-7699	668	10	different	different	ADJ
ap-7699	668	11	than	than	ADP
ap-7699	668	12	the	the	DET
ap-7699	668	13	limits	limit	NOUN
ap-7699	668	14	of	of	ADP
ap-7699	668	15	the	the	DET
ap-7699	668	16	corresponding	corresponding	ADJ
ap-7699	668	17	beta	beta	NOUN
ap-7699	668	18	functions	function	NOUN
ap-7699	668	19	in	in	ADP
ap-7699	668	20	the	the	DET
ap-7699	668	21	situation	situation	NOUN
ap-7699	668	22	with	with	ADP
ap-7699	668	23	θr	θr	DET
ap-7699	668	24	̸=	̸=	PROPN
ap-7699	668	25	0	0	NUM
ap-7699	668	26	.	.	PUNCT
ap-7699	669	1	if	if	SCONJ
ap-7699	669	2	we	we	PRON
ap-7699	669	3	start	start	VERB
ap-7699	669	4	with	with	ADP
ap-7699	669	5	the	the	DET
ap-7699	669	6	theory	theory	NOUN
ap-7699	669	7	with	with	ADP
ap-7699	669	8	θc	θc	NOUN
ap-7699	669	9	=	=	SYM
ap-7699	669	10	0	0	NUM
ap-7699	669	11	from	from	ADP
ap-7699	669	12	the	the	DET
ap-7699	669	13	beginning	beginning	NOUN
ap-7699	669	14	,	,	PUNCT
ap-7699	669	15	then	then	ADV
ap-7699	669	16	there	there	PRON
ap-7699	669	17	are	be	VERB
ap-7699	669	18	serious	serious	ADJ
ap-7699	669	19	problems	problem	NOUN
ap-7699	669	20	with	with	ADP
ap-7699	669	21	the	the	DET
ap-7699	669	22	kinetic	kinetic	ADJ
ap-7699	669	23	operator	operator	NOUN
ap-7699	669	24	.	.	PUNCT
ap-7699	670	1	we	we	PRON
ap-7699	670	2	checked	check	VERB
ap-7699	670	3	that	that	SCONJ
ap-7699	670	4	it	it	PRON
ap-7699	670	5	can	can	AUX
ap-7699	670	6	not	not	PART
ap-7699	670	7	be	be	AUX
ap-7699	670	8	put	put	VERB
ap-7699	670	9	by	by	ADP
ap-7699	670	10	standard	standard	ADJ
ap-7699	670	11	fixing	fixing	NOUN
ap-7699	670	12	of	of	ADP
ap-7699	670	13	the	the	DET
ap-7699	670	14	gauge	gauge	NOUN
ap-7699	670	15	to	to	ADP
ap-7699	670	16	the	the	DET
ap-7699	670	17	minimal	minimal	ADJ
ap-7699	670	18	form	form	NOUN
ap-7699	670	19	with	with	ADP
ap-7699	670	20	four	four	NUM
ap-7699	670	21	-	-	PUNCT
ap-7699	670	22	derivative	derivative	ADJ
ap-7699	670	23	leading	lead	VERB
ap-7699	670	24	operator	operator	NOUN
ap-7699	670	25	.	.	PUNCT
ap-7699	671	1	moreover	moreover	ADV
ap-7699	671	2	,	,	PUNCT
ap-7699	671	3	as	as	ADP
ap-7699	671	4	the	the	DET
ap-7699	671	5	result	result	NOUN
ap-7699	671	6	of	of	ADP
ap-7699	671	7	this	this	DET
ap-7699	671	8	process	process	NOUN
ap-7699	671	9	one	one	NUM
ap-7699	671	10	of	of	ADP
ap-7699	671	11	the	the	DET
ap-7699	671	12	typical	typical	ADJ
ap-7699	671	13	gaugefixing	gaugefixe	VERB
ap-7699	671	14	parameters	parameter	NOUN
ap-7699	671	15	remains	remain	VERB
ap-7699	671	16	undetermined	undetermined	ADJ
ap-7699	671	17	.	.	PUNCT
ap-7699	672	1	here	here	ADV
ap-7699	672	2	one	one	PRON
ap-7699	672	3	can	can	AUX
ap-7699	672	4	try	try	VERB
ap-7699	672	5	to	to	PART
ap-7699	672	6	compute	compute	VERB
ap-7699	672	7	the	the	DET
ap-7699	672	8	trace	trace	NOUN
ap-7699	672	9	of	of	ADP
ap-7699	672	10	the	the	DET
ap-7699	672	11	logarithm	logarithm	NOUN
ap-7699	672	12	of	of	ADP
ap-7699	672	13	the	the	DET
ap-7699	672	14	hessian	hessian	NOUN
ap-7699	672	15	using	use	VERB
ap-7699	672	16	the	the	DET
ap-7699	672	17	method	method	NOUN
ap-7699	672	18	proposed	propose	VERB
ap-7699	672	19	in	in	ADP
ap-7699	672	20	[	[	X
ap-7699	672	21	44	44	NUM
ap-7699	672	22	]	]	PUNCT
ap-7699	672	23	consisting	consist	VERB
ap-7699	672	24	of	of	ADP
ap-7699	672	25	multiplying	multiply	VERB
ap-7699	672	26	by	by	ADP
ap-7699	672	27	some	some	DET
ap-7699	672	28	two	two	NUM
ap-7699	672	29	-	-	PUNCT
ap-7699	672	30	derivative	derivative	ADJ
ap-7699	672	31	non	non	ADJ
ap-7699	672	32	-	-	ADJ
ap-7699	672	33	minimal	minimal	ADJ
ap-7699	672	34	136	136	NUM
ap-7699	672	35	vol	vol	NOUN
ap-7699	672	36	.	.	PUNCT
ap-7699	673	1	62	62	NUM
ap-7699	673	2	no	no	INTJ
ap-7699	673	3	.	.	PUNCT
ap-7699	674	1	1/2022	1/2022	NUM
ap-7699	674	2	beta	beta	NOUN
ap-7699	674	3	functions	function	NOUN
ap-7699	674	4	in	in	ADP
ap-7699	674	5	six	six	NUM
ap-7699	674	6	-	-	PUNCT
ap-7699	674	7	derivative	derivative	ADJ
ap-7699	674	8	quantum	quantum	NOUN
ap-7699	674	9	gravity	gravity	NOUN
ap-7699	674	10	operator	operator	NOUN
ap-7699	674	11	and	and	CCONJ
ap-7699	674	12	getting	get	VERB
ap-7699	674	13	a	a	DET
ap-7699	674	14	six	six	NUM
ap-7699	674	15	-	-	PUNCT
ap-7699	674	16	derivative	derivative	ADJ
ap-7699	674	17	operator	operator	NOUN
ap-7699	674	18	,	,	PUNCT
ap-7699	674	19	whose	whose	DET
ap-7699	674	20	trace	trace	NOUN
ap-7699	674	21	can	can	AUX
ap-7699	674	22	be	be	AUX
ap-7699	674	23	easily	easily	ADV
ap-7699	674	24	found	find	VERB
ap-7699	674	25	.	.	PUNCT
ap-7699	675	1	but	but	CCONJ
ap-7699	675	2	it	it	PRON
ap-7699	675	3	is	be	AUX
ap-7699	675	4	hard	hard	ADJ
ap-7699	675	5	to	to	PART
ap-7699	675	6	believe	believe	VERB
ap-7699	675	7	that	that	SCONJ
ap-7699	675	8	one	one	PRON
ap-7699	675	9	has	have	VERB
ap-7699	675	10	any	any	DET
ap-7699	675	11	chance	chance	NOUN
ap-7699	675	12	to	to	PART
ap-7699	675	13	get	get	VERB
ap-7699	675	14	a	a	DET
ap-7699	675	15	non	non	ADJ
ap-7699	675	16	-	-	ADJ
ap-7699	675	17	singular	singular	ADJ
ap-7699	675	18	answer	answer	NOUN
ap-7699	675	19	for	for	ADP
ap-7699	675	20	all	all	DET
ap-7699	675	21	the	the	DET
ap-7699	675	22	beta	beta	NOUN
ap-7699	675	23	functions	function	NOUN
ap-7699	675	24	in	in	ADP
ap-7699	675	25	pure	pure	ADJ
ap-7699	675	26	r2	r2	PROPN
ap-7699	675	27	theory	theory	NOUN
ap-7699	675	28	since	since	SCONJ
ap-7699	675	29	it	it	PRON
ap-7699	675	30	is	be	AUX
ap-7699	675	31	known	know	VERB
ap-7699	675	32	that	that	SCONJ
ap-7699	675	33	this	this	DET
ap-7699	675	34	theory	theory	NOUN
ap-7699	675	35	is	be	AUX
ap-7699	675	36	non	non	ADJ
ap-7699	675	37	-	-	ADJ
ap-7699	675	38	renormalizable	renormalizable	ADJ
ap-7699	675	39	(	(	PUNCT
ap-7699	675	40	because	because	SCONJ
ap-7699	675	41	it	it	PRON
ap-7699	675	42	lacks	lack	VERB
ap-7699	675	43	the	the	DET
ap-7699	675	44	c2	c2	PROPN
ap-7699	675	45	counterterm	counterterm	NOUN
ap-7699	675	46	in	in	ADP
ap-7699	675	47	the	the	DET
ap-7699	675	48	bare	bare	ADJ
ap-7699	675	49	action	action	NOUN
ap-7699	675	50	)	)	PUNCT
ap-7699	675	51	.	.	PUNCT
ap-7699	676	1	actually	actually	ADV
ap-7699	676	2	,	,	PUNCT
ap-7699	676	3	here	here	ADV
ap-7699	676	4	(	(	PUNCT
ap-7699	676	5	for	for	ADP
ap-7699	676	6	the	the	DET
ap-7699	676	7	θc	θc	ADJ
ap-7699	676	8	=	=	NOUN
ap-7699	676	9	0	0	NUM
ap-7699	676	10	case	case	NOUN
ap-7699	676	11	)	)	PUNCT
ap-7699	676	12	one	one	PRON
ap-7699	676	13	could	could	AUX
ap-7699	676	14	choose	choose	VERB
ap-7699	676	15	the	the	DET
ap-7699	676	16	ĉ	ĉ	ADV
ap-7699	676	17	matrix	matrix	NOUN
ap-7699	676	18	-	-	PUNCT
ap-7699	676	19	valued	value	VERB
ap-7699	676	20	differential	differential	NOUN
ap-7699	676	21	operator	operator	NOUN
ap-7699	676	22	different	different	ADJ
ap-7699	676	23	from	from	ADP
ap-7699	676	24	the	the	DET
ap-7699	676	25	standard	standard	ADJ
ap-7699	676	26	minimal	minimal	ADJ
ap-7699	676	27	prescription	prescription	NOUN
ap-7699	676	28	and	and	CCONJ
ap-7699	676	29	choose	choose	VERB
ap-7699	676	30	different	different	ADJ
ap-7699	676	31	values	value	NOUN
ap-7699	676	32	for	for	ADP
ap-7699	676	33	the	the	DET
ap-7699	676	34	γ	γ	X
ap-7699	676	35	gauge	gauge	NOUN
ap-7699	676	36	-	-	PUNCT
ap-7699	676	37	fixing	fix	VERB
ap-7699	676	38	parameter	parameter	NOUN
ap-7699	676	39	.	.	PUNCT
ap-7699	677	1	in	in	ADP
ap-7699	677	2	the	the	DET
ap-7699	677	3	standard	standard	ADJ
ap-7699	677	4	minimal	minimal	ADJ
ap-7699	677	5	choice	choice	NOUN
ap-7699	677	6	for	for	ADP
ap-7699	677	7	the	the	DET
ap-7699	677	8	gauge	gauge	NOUN
ap-7699	677	9	-	-	PUNCT
ap-7699	677	10	fixing	fix	VERB
ap-7699	677	11	parameters	parameter	NOUN
ap-7699	677	12	and	and	CCONJ
ap-7699	677	13	in	in	ADP
ap-7699	677	14	this	this	DET
ap-7699	677	15	model	model	NOUN
ap-7699	677	16	,	,	PUNCT
ap-7699	677	17	the	the	DET
ap-7699	677	18	ĉ	ĉ	X
ap-7699	677	19	matrix	matrix	NOUN
ap-7699	677	20	contains	contain	VERB
ap-7699	677	21	an	an	DET
ap-7699	677	22	irregular	irregular	ADJ
ap-7699	677	23	part	part	NOUN
ap-7699	677	24	in	in	ADP
ap-7699	677	25	θc	θc	NOUN
ap-7699	677	26	coupling	couple	VERB
ap-7699	677	27	(	(	PUNCT
ap-7699	677	28	1	1	NUM
ap-7699	677	29	θc	θc	NOUN
ap-7699	677	30	pole	pole	NOUN
ap-7699	677	31	)	)	PUNCT
ap-7699	677	32	,	,	PUNCT
ap-7699	677	33	because	because	SCONJ
ap-7699	677	34	of	of	ADP
ap-7699	677	35	the	the	DET
ap-7699	677	36	dependence	dependence	NOUN
ap-7699	677	37	of	of	ADP
ap-7699	677	38	γ	γ	NOUN
ap-7699	677	39	on	on	ADP
ap-7699	677	40	θc	θc	NOUN
ap-7699	677	41	.	.	PUNCT
ap-7699	678	1	this	this	DET
ap-7699	678	2	last	last	ADJ
ap-7699	678	3	dependence	dependence	NOUN
ap-7699	678	4	originates	originate	NOUN
ap-7699	678	5	from	from	ADP
ap-7699	678	6	the	the	DET
ap-7699	678	7	conditions	condition	NOUN
ap-7699	678	8	forced	force	VERB
ap-7699	678	9	on	on	ADP
ap-7699	678	10	gauge	gauge	NOUN
ap-7699	678	11	-	-	PUNCT
ap-7699	678	12	fixing	fix	VERB
ap-7699	678	13	parameters	parameter	NOUN
ap-7699	678	14	in	in	ADP
ap-7699	678	15	order	order	NOUN
ap-7699	678	16	to	to	PART
ap-7699	678	17	put	put	VERB
ap-7699	678	18	the	the	DET
ap-7699	678	19	kinetic	kinetic	ADJ
ap-7699	678	20	operator	operator	NOUN
ap-7699	678	21	in	in	ADP
ap-7699	678	22	the	the	DET
ap-7699	678	23	minimal	minimal	ADJ
ap-7699	678	24	form	form	NOUN
ap-7699	678	25	,	,	PUNCT
ap-7699	678	26	in	in	ADP
ap-7699	678	27	the	the	DET
ap-7699	678	28	standard	standard	ADJ
ap-7699	678	29	case	case	NOUN
ap-7699	678	30	θc	θc	ADP
ap-7699	678	31	=	=	NOUN
ap-7699	678	32	̸	̸	NUM
ap-7699	678	33	0	0	NUM
ap-7699	678	34	.	.	PUNCT
ap-7699	679	1	however	however	ADV
ap-7699	679	2	,	,	PUNCT
ap-7699	679	3	knowing	know	VERB
ap-7699	679	4	that	that	SCONJ
ap-7699	679	5	in	in	ADP
ap-7699	679	6	the	the	DET
ap-7699	679	7	case	case	NOUN
ap-7699	679	8	with	with	ADP
ap-7699	679	9	θc	θc	NOUN
ap-7699	679	10	=	=	SYM
ap-7699	679	11	0	0	NUM
ap-7699	679	12	,	,	PUNCT
ap-7699	679	13	this	this	DET
ap-7699	679	14	procedure	procedure	NOUN
ap-7699	679	15	is	be	AUX
ap-7699	679	16	anyhow	anyhow	ADV
ap-7699	679	17	unsuccessful	unsuccessful	ADJ
ap-7699	679	18	,	,	PUNCT
ap-7699	679	19	we	we	PRON
ap-7699	679	20	have	have	VERB
ap-7699	679	21	the	the	DET
ap-7699	679	22	freedom	freedom	NOUN
ap-7699	679	23	to	to	PART
ap-7699	679	24	choose	choose	VERB
ap-7699	679	25	the	the	DET
ap-7699	679	26	value	value	NOUN
ap-7699	679	27	of	of	ADP
ap-7699	679	28	γ	γ	NOUN
ap-7699	679	29	different	different	ADJ
ap-7699	679	30	than	than	ADP
ap-7699	679	31	the	the	DET
ap-7699	679	32	standard	standard	ADJ
ap-7699	679	33	one	one	NUM
ap-7699	679	34	and	and	CCONJ
ap-7699	679	35	at	at	ADP
ap-7699	679	36	our	our	PRON
ap-7699	679	37	wish	wish	NOUN
ap-7699	679	38	.	.	PUNCT
ap-7699	680	1	in	in	ADP
ap-7699	680	2	principle	principle	NOUN
ap-7699	680	3	,	,	PUNCT
ap-7699	680	4	similar	similar	ADJ
ap-7699	680	5	considerations	consideration	NOUN
ap-7699	680	6	can	can	AUX
ap-7699	680	7	be	be	AUX
ap-7699	680	8	repeated	repeat	VERB
ap-7699	680	9	verbatim	verbatim	ADJ
ap-7699	680	10	for	for	ADP
ap-7699	680	11	the	the	DET
ap-7699	680	12	case	case	NOUN
ap-7699	680	13	of	of	ADP
ap-7699	680	14	six	six	NUM
ap-7699	680	15	-	-	PUNCT
ap-7699	680	16	derivative	derivative	ADJ
ap-7699	680	17	theory	theory	NOUN
ap-7699	680	18	(	(	PUNCT
ap-7699	680	19	with	with	ADP
ap-7699	680	20	n	n	NOUN
ap-7699	680	21	=	=	SYM
ap-7699	680	22	1	1	NUM
ap-7699	680	23	power	power	NOUN
ap-7699	680	24	exponent	exponent	NOUN
ap-7699	680	25	on	on	ADP
ap-7699	680	26	the	the	DET
ap-7699	680	27	box	box	NOUN
ap-7699	680	28	operator	operator	NOUN
ap-7699	680	29	in	in	ADP
ap-7699	680	30	the	the	DET
ap-7699	680	31	defining	define	VERB
ap-7699	680	32	the	the	DET
ap-7699	680	33	theory	theory	NOUN
ap-7699	680	34	action	action	NOUN
ap-7699	680	35	in	in	ADP
ap-7699	680	36	(	(	PUNCT
ap-7699	680	37	45	45	NUM
ap-7699	680	38	)	)	PUNCT
ap-7699	680	39	)	)	PUNCT
ap-7699	680	40	.	.	PUNCT
ap-7699	681	1	but	but	CCONJ
ap-7699	681	2	we	we	PRON
ap-7699	681	3	remark	remark	VERB
ap-7699	681	4	here	here	ADV
ap-7699	681	5	that	that	SCONJ
ap-7699	681	6	the	the	DET
ap-7699	681	7	theory	theory	NOUN
ap-7699	681	8	with	with	ADP
ap-7699	681	9	ωr	ωr	NOUN
ap-7699	681	10	=	=	SYM
ap-7699	681	11	0	0	NUM
ap-7699	681	12	and	and	CCONJ
ap-7699	681	13	n	n	CCONJ
ap-7699	681	14	=	=	NOUN
ap-7699	681	15	1	1	NUM
ap-7699	681	16	is	be	AUX
ap-7699	681	17	not	not	PART
ap-7699	681	18	conformally	conformally	ADV
ap-7699	681	19	invariant	invariant	ADJ
ap-7699	681	20	in	in	ADP
ap-7699	681	21	d	d	PROPN
ap-7699	681	22	=	=	SYM
ap-7699	681	23	4	4	NUM
ap-7699	681	24	dimensions	dimension	NOUN
ap-7699	681	25	.	.	PUNCT
ap-7699	682	1	and	and	CCONJ
ap-7699	682	2	the	the	DET
ap-7699	682	3	above	above	ADJ
ap-7699	682	4	problems	problem	NOUN
ap-7699	682	5	with	with	ADP
ap-7699	682	6	the	the	DET
ap-7699	682	7	gauge	gauge	NOUN
ap-7699	682	8	fixing	fixing	NOUN
ap-7699	682	9	of	of	ADP
ap-7699	682	10	the	the	DET
ap-7699	682	11	hessian	hessian	ADJ
ap-7699	682	12	operator	operator	NOUN
ap-7699	682	13	ĥ	ĥ	X
ap-7699	682	14	and	and	CCONJ
ap-7699	682	15	non	non	NOUN
ap-7699	682	16	-	-	NOUN
ap-7699	682	17	minimality	minimality	NOUN
ap-7699	682	18	of	of	ADP
ap-7699	682	19	it	it	PRON
ap-7699	682	20	in	in	ADP
ap-7699	682	21	the	the	DET
ap-7699	682	22	case	case	NOUN
ap-7699	682	23	ωc	ωc	ADP
ap-7699	682	24	=	=	SYM
ap-7699	682	25	0	0	NUM
ap-7699	682	26	still	still	ADV
ap-7699	682	27	persist	persist	VERB
ap-7699	682	28	.	.	PUNCT
ap-7699	683	1	this	this	PRON
ap-7699	683	2	is	be	AUX
ap-7699	683	3	because	because	SCONJ
ap-7699	683	4	here	here	ADV
ap-7699	683	5	for	for	ADP
ap-7699	683	6	sixderivative	sixderivative	ADJ
ap-7699	683	7	gravitational	gravitational	ADJ
ap-7699	683	8	theories	theory	NOUN
ap-7699	683	9	the	the	DET
ap-7699	683	10	box	box	NOUN
ap-7699	683	11	operator	operator	NOUN
ap-7699	683	12	□	□	PUNCT
ap-7699	683	13	acting	act	VERB
ap-7699	683	14	between	between	ADP
ap-7699	683	15	two	two	NUM
ap-7699	683	16	gravitational	gravitational	ADJ
ap-7699	683	17	curvatures	curvature	NOUN
ap-7699	683	18	is	be	AUX
ap-7699	683	19	only	only	ADV
ap-7699	683	20	a	a	DET
ap-7699	683	21	spectator	spectator	NOUN
ap-7699	683	22	from	from	ADP
ap-7699	683	23	the	the	DET
ap-7699	683	24	point	point	NOUN
ap-7699	683	25	of	of	ADP
ap-7699	683	26	view	view	NOUN
ap-7699	683	27	of	of	ADP
ap-7699	683	28	the	the	DET
ap-7699	683	29	uv	uv	NOUN
ap-7699	683	30	-	-	PUNCT
ap-7699	683	31	leading	lead	VERB
ap-7699	683	32	part	part	NOUN
ap-7699	683	33	of	of	ADP
ap-7699	683	34	the	the	DET
ap-7699	683	35	ĥ	ĥ	ADJ
ap-7699	683	36	operator	operator	NOUN
ap-7699	683	37	(	(	PUNCT
ap-7699	683	38	with	with	ADP
ap-7699	683	39	the	the	DET
ap-7699	683	40	highest	high	ADJ
ap-7699	683	41	number	number	NOUN
ap-7699	683	42	of	of	ADP
ap-7699	683	43	derivatives	derivative	NOUN
ap-7699	683	44	and	and	CCONJ
ap-7699	683	45	with	with	ADP
ap-7699	683	46	the	the	DET
ap-7699	683	47	zeroth	zeroth	ADJ
ap-7699	683	48	powers	power	NOUN
ap-7699	683	49	in	in	ADP
ap-7699	683	50	gravitational	gravitational	ADJ
ap-7699	683	51	curvatures	curvature	NOUN
ap-7699	683	52	)	)	PUNCT
ap-7699	683	53	or	or	CCONJ
ap-7699	683	54	from	from	ADP
ap-7699	683	55	the	the	DET
ap-7699	683	56	point	point	NOUN
ap-7699	683	57	of	of	ADP
ap-7699	683	58	view	view	NOUN
ap-7699	683	59	of	of	ADP
ap-7699	683	60	flat	flat	ADJ
ap-7699	683	61	spacetime	spacetime	NOUN
ap-7699	683	62	kinetic	kinetic	NOUN
ap-7699	683	63	operator	operator	NOUN
ap-7699	683	64	and	and	CCONJ
ap-7699	683	65	flat	flat	ADJ
ap-7699	683	66	spacetime	spacetime	NOUN
ap-7699	683	67	graviton	graviton	PROPN
ap-7699	683	68	’s	’s	PART
ap-7699	683	69	propagator	propagator	NOUN
ap-7699	683	70	.	.	PUNCT
ap-7699	684	1	the	the	DET
ap-7699	684	2	box	box	NOUN
ap-7699	684	3	operator	operator	NOUN
ap-7699	684	4	in	in	ADP
ap-7699	684	5	momentum	momentum	NOUN
ap-7699	684	6	space	space	NOUN
ap-7699	684	7	gives	give	VERB
ap-7699	684	8	only	only	ADV
ap-7699	684	9	one	one	NUM
ap-7699	684	10	additional	additional	ADJ
ap-7699	684	11	factor	factor	NOUN
ap-7699	684	12	of	of	ADP
ap-7699	684	13	−k2	−k2	PROPN
ap-7699	684	14	to	to	ADP
ap-7699	684	15	the	the	DET
ap-7699	684	16	kinetic	kinetic	ADJ
ap-7699	684	17	operator	operator	NOUN
ap-7699	684	18	and	and	CCONJ
ap-7699	684	19	additional	additional	ADJ
ap-7699	684	20	suppression	suppression	NOUN
ap-7699	684	21	by	by	ADP
ap-7699	684	22	−k−2	−k−2	NUM
ap-7699	684	23	to	to	ADP
ap-7699	684	24	the	the	DET
ap-7699	684	25	propagator	propagator	NOUN
ap-7699	684	26	.	.	PUNCT
ap-7699	685	1	the	the	DET
ap-7699	685	2	hessian	hessian	NOUN
ap-7699	685	3	in	in	ADP
ap-7699	685	4	the	the	DET
ap-7699	685	5	six	six	NUM
ap-7699	685	6	-	-	PUNCT
ap-7699	685	7	derivative	derivative	ADJ
ap-7699	685	8	theory	theory	NOUN
ap-7699	685	9	with	with	ADP
ap-7699	685	10	ωr	ωr	NOUN
ap-7699	685	11	=	=	SYM
ap-7699	685	12	0	0	NUM
ap-7699	685	13	must	must	AUX
ap-7699	685	14	possess	possess	VERB
ap-7699	685	15	the	the	DET
ap-7699	685	16	same	same	ADJ
ap-7699	685	17	definitional	definitional	ADJ
ap-7699	685	18	issues	issue	NOUN
ap-7699	685	19	as	as	ADP
ap-7699	685	20	the	the	DET
ap-7699	685	21	one	one	NOUN
ap-7699	685	22	in	in	ADP
ap-7699	685	23	the	the	DET
ap-7699	685	24	four	four	NUM
ap-7699	685	25	-	-	PUNCT
ap-7699	685	26	derivative	derivative	ADJ
ap-7699	685	27	theory	theory	NOUN
ap-7699	685	28	(	(	PUNCT
ap-7699	685	29	with	with	ADP
ap-7699	685	30	θr	θr	NOUN
ap-7699	685	31	=	=	SYM
ap-7699	685	32	0	0	NUM
ap-7699	685	33	)	)	PUNCT
ap-7699	685	34	,	,	PUNCT
ap-7699	685	35	because	because	SCONJ
ap-7699	685	36	for	for	ADP
ap-7699	685	37	the	the	DET
ap-7699	685	38	kinetic	kinetic	ADJ
ap-7699	685	39	terms	term	NOUN
ap-7699	685	40	box	box	NOUN
ap-7699	685	41	operator	operator	NOUN
ap-7699	685	42	again	again	ADV
ap-7699	685	43	plays	play	VERB
ap-7699	685	44	only	only	ADV
ap-7699	685	45	the	the	DET
ap-7699	685	46	role	role	NOUN
ap-7699	685	47	of	of	ADP
ap-7699	685	48	the	the	DET
ap-7699	685	49	spectator	spectator	NOUN
ap-7699	685	50	.	.	PUNCT
ap-7699	686	1	hence	hence	ADV
ap-7699	686	2	the	the	DET
ap-7699	686	3	difference	difference	NOUN
ap-7699	686	4	on	on	ADP
ap-7699	686	5	this	this	DET
ap-7699	686	6	level	level	NOUN
ap-7699	686	7	between	between	ADP
ap-7699	686	8	fourand	fourand	NOUN
ap-7699	686	9	six	six	NUM
ap-7699	686	10	-	-	PUNCT
ap-7699	686	11	derivative	derivative	ADJ
ap-7699	686	12	theories	theory	NOUN
ap-7699	686	13	is	be	AUX
ap-7699	686	14	only	only	ADV
ap-7699	686	15	in	in	ADP
ap-7699	686	16	some	some	DET
ap-7699	686	17	overall	overall	ADJ
ap-7699	686	18	multiplicative	multiplicative	ADJ
ap-7699	686	19	coefficient	coefficient	NOUN
ap-7699	686	20	(	(	PUNCT
ap-7699	686	21	like	like	ADP
ap-7699	686	22	flat	flat	ADJ
ap-7699	686	23	spacetime	spacetime	NOUN
ap-7699	686	24	d’alembertian	d’alembertian	ADJ
ap-7699	686	25	operator	operator	NOUN
ap-7699	686	26	∂2	∂2	NOUN
ap-7699	686	27	is	be	AUX
ap-7699	686	28	−k2	−k2	ADJ
ap-7699	686	29	in	in	ADP
ap-7699	686	30	fourier	fourier	ADJ
ap-7699	686	31	space	space	NOUN
ap-7699	686	32	)	)	PUNCT
ap-7699	686	33	.	.	PUNCT
ap-7699	687	1	so	so	ADV
ap-7699	687	2	then	then	ADV
ap-7699	687	3	,	,	PUNCT
ap-7699	687	4	if	if	SCONJ
ap-7699	687	5	we	we	PRON
ap-7699	687	6	know	know	VERB
ap-7699	687	7	that	that	SCONJ
ap-7699	687	8	the	the	DET
ap-7699	687	9	hessian	hessian	NOUN
ap-7699	687	10	ĥ	ĥ	PUNCT
ap-7699	687	11	is	be	AUX
ap-7699	687	12	almost	almost	ADV
ap-7699	687	13	well	well	ADV
ap-7699	687	14	-	-	PUNCT
ap-7699	687	15	defined	define	VERB
ap-7699	687	16	for	for	ADP
ap-7699	687	17	the	the	DET
ap-7699	687	18	conformal	conformal	ADJ
ap-7699	687	19	gravity	gravity	NOUN
ap-7699	687	20	case	case	NOUN
ap-7699	687	21	(	(	PUNCT
ap-7699	687	22	up	up	ADP
ap-7699	687	23	to	to	ADP
ap-7699	687	24	the	the	DET
ap-7699	687	25	need	need	NOUN
ap-7699	687	26	for	for	ADP
ap-7699	687	27	additional	additional	ADJ
ap-7699	687	28	gauge	gauge	NOUN
ap-7699	687	29	fixing	fixing	NOUN
ap-7699	687	30	of	of	ADP
ap-7699	687	31	the	the	DET
ap-7699	687	32	conformal	conformal	NOUN
ap-7699	687	33	symmetry	symmetry	NOUN
ap-7699	687	34	)	)	PUNCT
ap-7699	687	35	,	,	PUNCT
ap-7699	687	36	then	then	ADV
ap-7699	687	37	the	the	DET
ap-7699	687	38	same	same	ADJ
ap-7699	687	39	will	will	AUX
ap-7699	687	40	be	be	AUX
ap-7699	687	41	true	true	ADJ
ap-7699	687	42	for	for	ADP
ap-7699	687	43	the	the	DET
ap-7699	687	44	hessian	hessian	NOUN
ap-7699	687	45	in	in	ADP
ap-7699	687	46	the	the	DET
ap-7699	687	47	six	six	NUM
ap-7699	687	48	-	-	PUNCT
ap-7699	687	49	derivative	derivative	ADJ
ap-7699	687	50	theory	theory	NOUN
ap-7699	687	51	with	with	ADP
ap-7699	687	52	the	the	DET
ap-7699	687	53	ωr	ωr	NOUN
ap-7699	687	54	=	=	SYM
ap-7699	687	55	0	0	NUM
ap-7699	687	56	condition	condition	NOUN
ap-7699	687	57	in	in	ADP
ap-7699	687	58	d	d	PROPN
ap-7699	687	59	=	=	SYM
ap-7699	687	60	4	4	NUM
ap-7699	687	61	spacetime	spacetime	NOUN
ap-7699	687	62	dimensions	dimension	NOUN
ap-7699	687	63	,	,	PUNCT
ap-7699	687	64	although	although	SCONJ
ap-7699	687	65	then	then	ADV
ap-7699	687	66	the	the	DET
ap-7699	687	67	theory	theory	NOUN
ap-7699	687	68	ceases	cease	VERB
ap-7699	687	69	to	to	PART
ap-7699	687	70	be	be	AUX
ap-7699	687	71	conformal	conformal	ADJ
ap-7699	687	72	anymore	anymore	ADV
ap-7699	687	73	.	.	PUNCT
ap-7699	688	1	in	in	ADP
ap-7699	688	2	conformal	conformal	ADJ
ap-7699	688	3	gravity	gravity	NOUN
ap-7699	688	4	in	in	ADP
ap-7699	688	5	d	d	PROPN
ap-7699	688	6	=	=	SYM
ap-7699	688	7	4	4	NUM
ap-7699	688	8	,	,	PUNCT
ap-7699	688	9	when	when	SCONJ
ap-7699	688	10	θr	θr	ADV
ap-7699	688	11	=	=	SYM
ap-7699	688	12	0	0	NUM
ap-7699	688	13	,	,	PUNCT
ap-7699	688	14	we	we	PRON
ap-7699	688	15	have	have	VERB
ap-7699	688	16	almost	almost	ADV
ap-7699	688	17	well	well	ADV
ap-7699	688	18	-	-	PUNCT
ap-7699	688	19	defined	define	VERB
ap-7699	688	20	hessian	hessian	NOUN
ap-7699	688	21	,	,	PUNCT
ap-7699	688	22	because	because	SCONJ
ap-7699	688	23	we	we	PRON
ap-7699	688	24	know	know	VERB
ap-7699	688	25	that	that	SCONJ
ap-7699	688	26	it	it	PRON
ap-7699	688	27	gives	give	VERB
ap-7699	688	28	rise	rise	NOUN
ap-7699	688	29	to	to	ADP
ap-7699	688	30	a	a	DET
ap-7699	688	31	good	good	ADJ
ap-7699	688	32	renormalizable	renormalizable	ADJ
ap-7699	688	33	theory	theory	NOUN
ap-7699	688	34	at	at	ADP
ap-7699	688	35	least	least	ADJ
ap-7699	688	36	to	to	ADP
ap-7699	688	37	the	the	DET
ap-7699	688	38	one	one	NUM
ap-7699	688	39	-	-	PUNCT
ap-7699	688	40	loop	loop	NOUN
ap-7699	688	41	perturbative	perturbative	ADJ
ap-7699	688	42	level	level	NOUN
ap-7699	688	43	of	of	ADP
ap-7699	688	44	computations	computation	NOUN
ap-7699	688	45	.	.	PUNCT
ap-7699	689	1	now	now	ADV
ap-7699	689	2	,	,	PUNCT
ap-7699	689	3	also	also	ADV
ap-7699	689	4	in	in	ADP
ap-7699	689	5	the	the	DET
ap-7699	689	6	case	case	NOUN
ap-7699	689	7	of	of	ADP
ap-7699	689	8	six	six	NUM
ap-7699	689	9	-	-	PUNCT
ap-7699	689	10	derivative	derivative	ADJ
ap-7699	689	11	theories	theory	NOUN
ap-7699	689	12	,	,	PUNCT
ap-7699	689	13	setting	set	VERB
ap-7699	689	14	ωr	ωr	ADJ
ap-7699	689	15	=	=	SYM
ap-7699	689	16	0	0	PROPN
ap-7699	689	17	does	do	AUX
ap-7699	689	18	not	not	PART
ap-7699	689	19	create	create	VERB
ap-7699	689	20	any	any	DET
ap-7699	689	21	problem	problem	NOUN
ap-7699	689	22	for	for	ADP
ap-7699	689	23	the	the	DET
ap-7699	689	24	form	form	NOUN
ap-7699	689	25	of	of	ADP
ap-7699	689	26	neither	neither	CCONJ
ap-7699	689	27	ĥ	ĥ	X
ap-7699	689	28	nor	nor	CCONJ
ap-7699	689	29	ĉ	ĉ	X
ap-7699	689	30	operators	operator	NOUN
ap-7699	689	31	.	.	PUNCT
ap-7699	690	1	only	only	ADV
ap-7699	690	2	the	the	DET
ap-7699	690	3	final	final	ADJ
ap-7699	690	4	results	result	NOUN
ap-7699	690	5	for	for	ADP
ap-7699	690	6	the	the	DET
ap-7699	690	7	beta	beta	NOUN
ap-7699	690	8	functions	function	NOUN
ap-7699	690	9	show	show	VERB
ap-7699	690	10	1	1	NUM
ap-7699	690	11	ωr	ωr	NOUN
ap-7699	690	12	poles	pole	NOUN
ap-7699	690	13	as	as	SCONJ
ap-7699	690	14	this	this	PRON
ap-7699	690	15	was	be	AUX
ap-7699	690	16	manifest	manifest	ADJ
ap-7699	690	17	from	from	ADP
ap-7699	690	18	the	the	DET
ap-7699	690	19	results	result	NOUN
ap-7699	690	20	in	in	ADP
ap-7699	690	21	[	[	X
ap-7699	690	22	26	26	NUM
ap-7699	690	23	]	]	PUNCT
ap-7699	690	24	.	.	PUNCT
ap-7699	691	1	in	in	ADP
ap-7699	691	2	turn	turn	NOUN
ap-7699	691	3	,	,	PUNCT
ap-7699	691	4	in	in	ADP
ap-7699	691	5	six	six	NUM
ap-7699	691	6	-	-	PUNCT
ap-7699	691	7	derivative	derivative	ADJ
ap-7699	691	8	theories	theory	NOUN
ap-7699	691	9	,	,	PUNCT
ap-7699	691	10	the	the	DET
ap-7699	691	11	limit	limit	NOUN
ap-7699	691	12	ωc	ωc	INTJ
ap-7699	691	13	→	→	SYM
ap-7699	691	14	0	0	NUM
ap-7699	691	15	seems	seem	VERB
ap-7699	691	16	regular	regular	ADJ
ap-7699	691	17	,	,	PUNCT
ap-7699	691	18	but	but	CCONJ
ap-7699	691	19	it	it	PRON
ap-7699	691	20	is	be	AUX
ap-7699	691	21	questionable	questionable	ADJ
ap-7699	691	22	that	that	SCONJ
ap-7699	691	23	now	now	ADV
ap-7699	691	24	we	we	PRON
ap-7699	691	25	can	can	AUX
ap-7699	691	26	trust	trust	VERB
ap-7699	691	27	the	the	DET
ap-7699	691	28	results	result	NOUN
ap-7699	691	29	of	of	ADP
ap-7699	691	30	this	this	DET
ap-7699	691	31	limit	limit	NOUN
ap-7699	691	32	.	.	PUNCT
ap-7699	692	1	in	in	ADP
ap-7699	692	2	the	the	DET
ap-7699	692	3	pure	pure	ADJ
ap-7699	692	4	r	r	NOUN
ap-7699	692	5	□	□	NOUN
ap-7699	692	6	r	r	NOUN
ap-7699	692	7	theory	theory	NOUN
ap-7699	692	8	,	,	PUNCT
ap-7699	692	9	we	we	PRON
ap-7699	692	10	expect	expect	VERB
ap-7699	692	11	to	to	PART
ap-7699	692	12	get	get	VERB
ap-7699	692	13	some	some	DET
ap-7699	692	14	discontinuous	discontinuous	ADJ
ap-7699	692	15	results	result	NOUN
ap-7699	692	16	for	for	ADP
ap-7699	692	17	the	the	DET
ap-7699	692	18	beta	beta	NOUN
ap-7699	692	19	functions	function	NOUN
ap-7699	692	20	not	not	PART
ap-7699	692	21	obtainable	obtainable	ADJ
ap-7699	692	22	by	by	ADP
ap-7699	692	23	the	the	DET
ap-7699	692	24	limit	limit	NOUN
ap-7699	692	25	ωc	ωc	INTJ
ap-7699	692	26	→	→	SYM
ap-7699	692	27	0	0	NUM
ap-7699	692	28	since	since	SCONJ
ap-7699	692	29	this	this	DET
ap-7699	692	30	model	model	NOUN
ap-7699	692	31	is	be	AUX
ap-7699	692	32	non	non	ADJ
ap-7699	692	33	-	-	ADJ
ap-7699	692	34	renormalizable	renormalizable	ADJ
ap-7699	692	35	.	.	PUNCT
ap-7699	693	1	in	in	ADP
ap-7699	693	2	this	this	DET
ap-7699	693	3	model	model	NOUN
ap-7699	693	4	,	,	PUNCT
ap-7699	693	5	there	there	PRON
ap-7699	693	6	is	be	VERB
ap-7699	693	7	still	still	ADV
ap-7699	693	8	an	an	DET
ap-7699	693	9	open	open	ADJ
ap-7699	693	10	problem	problem	NOUN
ap-7699	693	11	that	that	SCONJ
ap-7699	693	12	one	one	PRON
ap-7699	693	13	can	can	AUX
ap-7699	693	14	not	not	PART
ap-7699	693	15	make	make	VERB
ap-7699	693	16	the	the	DET
ap-7699	693	17	kinetic	kinetic	ADJ
ap-7699	693	18	operator	operator	NOUN
ap-7699	693	19	of	of	ADP
ap-7699	693	20	fluctuations	fluctuation	NOUN
ap-7699	693	21	a	a	DET
ap-7699	693	22	minimal	minimal	ADJ
ap-7699	693	23	6	6	NUM
ap-7699	693	24	-	-	PUNCT
ap-7699	693	25	derivative	derivative	ADJ
ap-7699	693	26	one	one	NOUN
ap-7699	693	27	.	.	PUNCT
ap-7699	694	1	furthermore	furthermore	ADV
ap-7699	694	2	,	,	PUNCT
ap-7699	694	3	taking	take	VERB
ap-7699	694	4	the	the	DET
ap-7699	694	5	limit	limit	NOUN
ap-7699	694	6	ωc	ωc	INTJ
ap-7699	694	7	→	→	SYM
ap-7699	694	8	0	0	NUM
ap-7699	694	9	on	on	ADP
ap-7699	694	10	the	the	DET
ap-7699	694	11	kinetic	kinetic	ADJ
ap-7699	694	12	operator	operator	NOUN
ap-7699	694	13	from	from	ADP
ap-7699	694	14	the	the	DET
ap-7699	694	15	generic	generic	ADJ
ap-7699	694	16	case	case	NOUN
ap-7699	694	17	ωc	ωc	ADP
ap-7699	694	18	̸=	̸=	PROPN
ap-7699	694	19	0	0	NUM
ap-7699	694	20	produces	produce	VERB
ap-7699	694	21	a	a	DET
ap-7699	694	22	hessian	hessian	NOUN
ap-7699	694	23	ĥ	ĥ	PUNCT
ap-7699	694	24	that	that	PRON
ap-7699	694	25	vanishes	vanish	VERB
ap-7699	694	26	on	on	ADP
ap-7699	694	27	flat	flat	ADJ
ap-7699	694	28	spacetime	spacetime	NOUN
ap-7699	694	29	.	.	PUNCT
ap-7699	695	1	hence	hence	ADV
ap-7699	695	2	it	it	PRON
ap-7699	695	3	seems	seem	VERB
ap-7699	695	4	that	that	SCONJ
ap-7699	695	5	in	in	ADP
ap-7699	695	6	this	this	DET
ap-7699	695	7	case	case	NOUN
ap-7699	695	8	the	the	DET
ap-7699	695	9	intermediate	intermediate	ADJ
ap-7699	695	10	steps	step	NOUN
ap-7699	695	11	of	of	ADP
ap-7699	695	12	the	the	DET
ap-7699	695	13	process	process	NOUN
ap-7699	695	14	of	of	ADP
ap-7699	695	15	computing	compute	VERB
ap-7699	695	16	the	the	DET
ap-7699	695	17	divergent	divergent	ADJ
ap-7699	695	18	part	part	NOUN
ap-7699	695	19	of	of	ADP
ap-7699	695	20	the	the	DET
ap-7699	695	21	effective	effective	ADJ
ap-7699	695	22	action	action	NOUN
ap-7699	695	23	are	be	AUX
ap-7699	695	24	not	not	PART
ap-7699	695	25	well	well	ADV
ap-7699	695	26	-	-	PUNCT
ap-7699	695	27	defined	define	VERB
ap-7699	695	28	,	,	PUNCT
ap-7699	695	29	while	while	SCONJ
ap-7699	695	30	the	the	DET
ap-7699	695	31	final	final	ADJ
ap-7699	695	32	result	result	NOUN
ap-7699	695	33	is	be	AUX
ap-7699	695	34	amenable	amenable	ADJ
ap-7699	695	35	to	to	ADP
ap-7699	695	36	taking	take	VERB
ap-7699	695	37	the	the	DET
ap-7699	695	38	limit	limit	NOUN
ap-7699	695	39	ωc	ωc	INTJ
ap-7699	695	40	→	→	SYM
ap-7699	695	41	0	0	NUM
ap-7699	695	42	,	,	PUNCT
ap-7699	695	43	but	but	CCONJ
ap-7699	695	44	exactly	exactly	ADV
ap-7699	695	45	because	because	SCONJ
ap-7699	695	46	of	of	ADP
ap-7699	695	47	this	this	DET
ap-7699	695	48	former	former	ADJ
ap-7699	695	49	reason	reason	NOUN
ap-7699	695	50	,	,	PUNCT
ap-7699	695	51	we	we	PRON
ap-7699	695	52	should	should	AUX
ap-7699	695	53	not	not	PART
ap-7699	695	54	trust	trust	VERB
ap-7699	695	55	these	these	PRON
ap-7699	695	56	apparently	apparently	ADV
ap-7699	695	57	continuously	continuously	ADV
ap-7699	695	58	looking	look	VERB
ap-7699	695	59	limits	limit	NOUN
ap-7699	695	60	.	.	PUNCT
ap-7699	696	1	one	one	PRON
ap-7699	696	2	should	should	AUX
ap-7699	696	3	analyze	analyze	VERB
ap-7699	696	4	deeper	deep	ADJ
ap-7699	696	5	the	the	DET
ap-7699	696	6	form	form	NOUN
ap-7699	696	7	of	of	ADP
ap-7699	696	8	the	the	DET
ap-7699	696	9	leading	leading	NOUN
ap-7699	696	10	in	in	ADP
ap-7699	696	11	the	the	DET
ap-7699	696	12	number	number	NOUN
ap-7699	696	13	of	of	ADP
ap-7699	696	14	derivatives	derivative	NOUN
ap-7699	696	15	(	(	PUNCT
ap-7699	696	16	and	and	CCONJ
ap-7699	696	17	also	also	ADV
ap-7699	696	18	in	in	ADP
ap-7699	696	19	the	the	DET
ap-7699	696	20	uv	uv	NOUN
ap-7699	696	21	regime	regime	NOUN
ap-7699	696	22	)	)	PUNCT
ap-7699	696	23	part	part	NOUN
ap-7699	696	24	of	of	ADP
ap-7699	696	25	the	the	DET
ap-7699	696	26	kinetic	kinetic	ADJ
ap-7699	696	27	operator	operator	NOUN
ap-7699	696	28	ĥ	ĥ	PROPN
ap-7699	696	29	of	of	ADP
ap-7699	696	30	the	the	DET
ap-7699	696	31	theory	theory	NOUN
ap-7699	696	32	between	between	ADP
ap-7699	696	33	graviton	graviton	NOUN
ap-7699	696	34	fluctuations	fluctuation	NOUN
ap-7699	696	35	.	.	PUNCT
ap-7699	697	1	the	the	DET
ap-7699	697	2	insertions	insertion	NOUN
ap-7699	697	3	of	of	ADP
ap-7699	697	4	box	box	NOUN
ap-7699	697	5	operators	operator	NOUN
ap-7699	697	6	,	,	PUNCT
ap-7699	697	7	like	like	ADP
ap-7699	697	8	any	any	DET
ap-7699	697	9	power	power	NOUN
ap-7699	697	10	or	or	CCONJ
ap-7699	697	11	functions	function	NOUN
ap-7699	697	12	of	of	ADP
ap-7699	697	13	the	the	DET
ap-7699	697	14	box	box	NOUN
ap-7699	697	15	operator	operator	NOUN
ap-7699	697	16	□	□	PUNCT
ap-7699	697	17	,	,	PUNCT
ap-7699	697	18	are	be	AUX
ap-7699	697	19	only	only	ADV
ap-7699	697	20	the	the	DET
ap-7699	697	21	immaterial	immaterial	ADJ
ap-7699	697	22	differences	difference	NOUN
ap-7699	697	23	between	between	ADP
ap-7699	697	24	the	the	DET
ap-7699	697	25	cases	case	NOUN
ap-7699	697	26	of	of	ADP
ap-7699	697	27	fourand	fourand	ADJ
ap-7699	697	28	six	six	NUM
ap-7699	697	29	-	-	PUNCT
ap-7699	697	30	derivative	derivative	ADJ
ap-7699	697	31	theories	theory	NOUN
ap-7699	697	32	here	here	ADV
ap-7699	697	33	.	.	PUNCT
ap-7699	698	1	these	these	DET
ap-7699	698	2	operators	operator	NOUN
ap-7699	698	3	are	be	AUX
ap-7699	698	4	only	only	ADV
ap-7699	698	5	spectators	spectator	NOUN
ap-7699	698	6	for	for	ADP
ap-7699	698	7	getting	get	VERB
ap-7699	698	8	the	the	DET
ap-7699	698	9	leading	lead	VERB
ap-7699	698	10	part	part	NOUN
ap-7699	698	11	of	of	ADP
ap-7699	698	12	the	the	DET
ap-7699	698	13	hessian	hessian	NOUN
ap-7699	698	14	,	,	PUNCT
ap-7699	698	15	which	which	PRON
ap-7699	698	16	is	be	AUX
ap-7699	698	17	with	with	ADP
ap-7699	698	18	the	the	DET
ap-7699	698	19	highest	high	ADJ
ap-7699	698	20	number	number	NOUN
ap-7699	698	21	of	of	ADP
ap-7699	698	22	derivatives	derivative	NOUN
ap-7699	698	23	and	and	CCONJ
ap-7699	698	24	also	also	ADV
ap-7699	698	25	considered	consider	VERB
ap-7699	698	26	on	on	ADP
ap-7699	698	27	flat	flat	ADJ
ap-7699	698	28	spacetime	spacetime	NOUN
ap-7699	698	29	,	,	PUNCT
ap-7699	698	30	so	so	ADV
ap-7699	698	31	with	with	ADP
ap-7699	698	32	the	the	DET
ap-7699	698	33	condition	condition	NOUN
ap-7699	698	34	that	that	SCONJ
ap-7699	698	35	r	r	NOUN
ap-7699	698	36	=	=	NOUN
ap-7699	698	37	0	0	X
ap-7699	698	38	.	.	PUNCT
ap-7699	699	1	using	use	VERB
ap-7699	699	2	formula	formula	NOUN
ap-7699	699	3	(	(	PUNCT
ap-7699	699	4	20	20	NUM
ap-7699	699	5	)	)	PUNCT
ap-7699	699	6	with	with	ADP
ap-7699	699	7	solutions	solution	NOUN
ap-7699	699	8	for	for	ADP
ap-7699	699	9	gauge	gauge	NOUN
ap-7699	699	10	-	-	PUNCT
ap-7699	699	11	fixing	fix	VERB
ap-7699	699	12	parameters	parameter	NOUN
ap-7699	699	13	as	as	ADP
ap-7699	699	14	in	in	ADP
ap-7699	699	15	(	(	PUNCT
ap-7699	699	16	21	21	NUM
ap-7699	699	17	)	)	PUNCT
ap-7699	699	18	,	,	PUNCT
ap-7699	699	19	one	one	PRON
ap-7699	699	20	finds	find	VERB
ap-7699	699	21	in	in	ADP
ap-7699	699	22	the	the	DET
ap-7699	699	23	generic	generic	ADJ
ap-7699	699	24	case	case	NOUN
ap-7699	699	25	ωc	ωc	ADP
ap-7699	699	26	̸=	̸=	PROPN
ap-7699	699	27	0	0	NUM
ap-7699	699	28	and	and	CCONJ
ap-7699	699	29	ωr	ωr	ADP
ap-7699	699	30	̸=	̸=	PROPN
ap-7699	699	31	0	0	NUM
ap-7699	699	32	,	,	PUNCT
ap-7699	699	33	that	that	SCONJ
ap-7699	699	34	the	the	DET
ap-7699	699	35	kinetic	kinetic	ADJ
ap-7699	699	36	operator	operator	NOUN
ap-7699	699	37	(	(	PUNCT
ap-7699	699	38	leading	lead	VERB
ap-7699	699	39	part	part	NOUN
ap-7699	699	40	of	of	ADP
ap-7699	699	41	the	the	DET
ap-7699	699	42	hessian	hessian	NOUN
ap-7699	699	43	)	)	PUNCT
ap-7699	699	44	is	be	AUX
ap-7699	699	45	indeed	indeed	ADV
ap-7699	699	46	minimal	minimal	ADJ
ap-7699	699	47	and	and	CCONJ
ap-7699	699	48	of	of	ADP
ap-7699	699	49	the	the	DET
ap-7699	699	50	form	form	NOUN
ap-7699	699	51	hµν	hµν	NOUN
ap-7699	699	52	,	,	PUNCT
ap-7699	699	53	ρσ	ρσ	ADP
ap-7699	699	54	lead	lead	NOUN
ap-7699	699	55	=	=	PUNCT
ap-7699	699	56	ωc	ωc	ADP
ap-7699	699	57	2	2	NUM
ap-7699	699	58	□	□	PUNCT
ap-7699	699	59	(	(	PUNCT
ap-7699	699	60	gµρgνσ	gµρgνσ	NOUN
ap-7699	699	61	+	+	CCONJ
ap-7699	699	62	gµσgνρ	gµσgνρ	NOUN
ap-7699	699	63	)	)	PUNCT
ap-7699	700	1	−	−	NUM
ap-7699	700	2	ωc	ωc	INTJ
ap-7699	700	3	ωc	ωc	ADP
ap-7699	700	4	−	−	NUM
ap-7699	700	5	6ωr	6ωr	ADJ
ap-7699	700	6	4ωc	4ωc	NOUN
ap-7699	701	1	−	−	NOUN
ap-7699	701	2	6ωr	6ωr	NOUN
ap-7699	701	3	□	□	SYM
ap-7699	701	4	gµνgρσ	gµνgρσ	NOUN
ap-7699	701	5	.	.	PUNCT
ap-7699	702	1	(	(	PUNCT
ap-7699	702	2	53	53	NUM
ap-7699	702	3	)	)	PUNCT
ap-7699	702	4	in	in	ADP
ap-7699	702	5	the	the	DET
ap-7699	702	6	above	above	ADJ
ap-7699	702	7	formula	formula	NOUN
ap-7699	702	8	,	,	PUNCT
ap-7699	702	9	one	one	PRON
ap-7699	702	10	does	do	AUX
ap-7699	702	11	not	not	PART
ap-7699	702	12	see	see	VERB
ap-7699	702	13	any	any	DET
ap-7699	702	14	singularity	singularity	NOUN
ap-7699	702	15	when	when	SCONJ
ap-7699	702	16	ωc	ωc	PROPN
ap-7699	702	17	is	be	AUX
ap-7699	702	18	vanishing	vanish	VERB
ap-7699	702	19	(	(	PUNCT
ap-7699	702	20	one	one	PRON
ap-7699	702	21	saw	see	VERB
ap-7699	702	22	ω−1	ω−1	PROPN
ap-7699	702	23	c	c	NOUN
ap-7699	702	24	divergences	divergence	NOUN
ap-7699	702	25	in	in	ADP
ap-7699	702	26	the	the	DET
ap-7699	702	27	expressions	expression	NOUN
ap-7699	702	28	for	for	ADP
ap-7699	702	29	α	α	PROPN
ap-7699	702	30	and	and	CCONJ
ap-7699	702	31	γ	γ	NOUN
ap-7699	702	32	parameters	parameter	NOUN
ap-7699	702	33	in	in	ADP
ap-7699	702	34	(	(	PUNCT
ap-7699	702	35	21	21	NUM
ap-7699	702	36	)	)	PUNCT
ap-7699	702	37	)	)	PUNCT
ap-7699	702	38	,	,	PUNCT
ap-7699	702	39	but	but	CCONJ
ap-7699	702	40	in	in	ADP
ap-7699	702	41	this	this	DET
ap-7699	702	42	case	case	NOUN
ap-7699	702	43	the	the	DET
ap-7699	702	44	above	above	ADJ
ap-7699	702	45	treatment	treatment	NOUN
ap-7699	702	46	was	be	AUX
ap-7699	702	47	not	not	PART
ap-7699	702	48	justified	justify	VERB
ap-7699	702	49	.	.	PUNCT
ap-7699	703	1	when	when	SCONJ
ap-7699	703	2	ωc	ωc	PROPN
ap-7699	703	3	=	=	SYM
ap-7699	703	4	0	0	PROPN
ap-7699	703	5	,	,	PUNCT
ap-7699	703	6	one	one	PRON
ap-7699	703	7	can	can	AUX
ap-7699	703	8	solve	solve	VERB
ap-7699	703	9	the	the	DET
ap-7699	703	10	system	system	NOUN
ap-7699	703	11	for	for	ADP
ap-7699	703	12	gaugefixing	gaugefixe	VERB
ap-7699	703	13	parameters	parameter	NOUN
ap-7699	703	14	for	for	ADP
ap-7699	703	15	β	β	PRON
ap-7699	703	16	and	and	CCONJ
ap-7699	703	17	γ′	γ′	NOUN
ap-7699	703	18	=	=	PUNCT
ap-7699	703	19	γ	γ	X
ap-7699	703	20	α	α	NOUN
ap-7699	703	21	and	and	CCONJ
ap-7699	703	22	assume	assume	VERB
ap-7699	703	23	that	that	SCONJ
ap-7699	703	24	formally	formally	ADV
ap-7699	703	25	1	1	NUM
ap-7699	703	26	α	α	NOUN
ap-7699	703	27	=	=	SYM
ap-7699	703	28	0	0	NUM
ap-7699	703	29	and	and	CCONJ
ap-7699	703	30	1	1	NUM
ap-7699	703	31	γ	γ	X
ap-7699	703	32	=	=	SYM
ap-7699	703	33	0	0	NUM
ap-7699	703	34	,	,	PUNCT
ap-7699	703	35	but	but	CCONJ
ap-7699	703	36	in	in	ADP
ap-7699	703	37	the	the	DET
ap-7699	703	38	ratio	ratio	NOUN
ap-7699	703	39	γ	γ	PROPN
ap-7699	703	40	α	α	NOUN
ap-7699	703	41	the	the	DET
ap-7699	703	42	limit	limit	NOUN
ap-7699	703	43	is	be	AUX
ap-7699	703	44	finite	finite	ADJ
ap-7699	703	45	.	.	PUNCT
ap-7699	704	1	one	one	NOUN
ap-7699	704	2	then	then	ADV
ap-7699	704	3	finds	find	VERB
ap-7699	704	4	that	that	SCONJ
ap-7699	704	5	β	β	NOUN
ap-7699	704	6	=	=	SYM
ap-7699	704	7	1	1	NUM
ap-7699	704	8	and	and	CCONJ
ap-7699	704	9	γ′	γ′	NOUN
ap-7699	704	10	=	=	SYM
ap-7699	704	11	−2ωr	−2ωr	NOUN
ap-7699	704	12	and	and	CCONJ
ap-7699	704	13	after	after	ADP
ap-7699	704	14	substitution	substitution	NOUN
ap-7699	704	15	to	to	ADP
ap-7699	704	16	the	the	DET
ap-7699	704	17	original	original	ADJ
ap-7699	704	18	hessian	hessian	NOUN
ap-7699	704	19	,	,	PUNCT
ap-7699	704	20	one	one	PRON
ap-7699	704	21	gets	get	VERB
ap-7699	704	22	that	that	SCONJ
ap-7699	704	23	its	its	PRON
ap-7699	704	24	leading	lead	VERB
ap-7699	704	25	part	part	NOUN
ap-7699	704	26	explicitly	explicitly	ADV
ap-7699	704	27	vanishes	vanish	VERB
ap-7699	704	28	.	.	PUNCT
ap-7699	705	1	the	the	DET
ap-7699	705	2	same	same	ADJ
ap-7699	705	3	one	one	NOUN
ap-7699	705	4	gets	get	VERB
ap-7699	705	5	by	by	ADP
ap-7699	705	6	plugging	plug	VERB
ap-7699	705	7	the	the	DET
ap-7699	705	8	naive	naive	ADJ
ap-7699	705	9	limit	limit	NOUN
ap-7699	705	10	ωc	ωc	INTJ
ap-7699	705	11	→	→	SYM
ap-7699	705	12	0	0	NUM
ap-7699	705	13	in	in	ADP
ap-7699	705	14	(	(	PUNCT
ap-7699	705	15	53	53	NUM
ap-7699	705	16	)	)	PUNCT
ap-7699	705	17	.	.	PUNCT
ap-7699	706	1	one	one	NOUN
ap-7699	706	2	also	also	ADV
ap-7699	706	3	sees	see	VERB
ap-7699	706	4	from	from	ADP
ap-7699	706	5	the	the	DET
ap-7699	706	6	explicit	explicit	ADJ
ap-7699	706	7	solutions	solution	NOUN
ap-7699	706	8	in	in	ADP
ap-7699	706	9	(	(	PUNCT
ap-7699	706	10	21	21	NUM
ap-7699	706	11	)	)	PUNCT
ap-7699	706	12	and	and	CCONJ
ap-7699	706	13	resulting	result	VERB
ap-7699	706	14	general	general	ADJ
ap-7699	706	15	expression	expression	NOUN
ap-7699	706	16	for	for	ADP
ap-7699	706	17	γ′	γ′	PROPN
ap-7699	706	18	(	(	PUNCT
ap-7699	706	19	i.e.	i.e.	X
ap-7699	706	20	γ′	γ′	X
ap-7699	706	21	=	=	SYM
ap-7699	706	22	4	4	NUM
ap-7699	706	23	3	3	NUM
ap-7699	706	24	ωc	ωc	ADP
ap-7699	706	25	−	−	PROPN
ap-7699	706	26	2ωr	2ωr	NOUN
ap-7699	706	27	)	)	PUNCT
ap-7699	706	28	that	that	SCONJ
ap-7699	706	29	by	by	ADP
ap-7699	706	30	plugging	plug	VERB
ap-7699	706	31	ωc	ωc	ADP
ap-7699	706	32	=	=	SYM
ap-7699	706	33	0	0	SYM
ap-7699	706	34	one	one	NUM
ap-7699	706	35	finds	find	VERB
ap-7699	706	36	again	again	ADV
ap-7699	706	37	that	that	SCONJ
ap-7699	706	38	β	β	X
ap-7699	706	39	=	=	SYM
ap-7699	706	40	1	1	NUM
ap-7699	706	41	and	and	CCONJ
ap-7699	706	42	γ′	γ′	NOUN
ap-7699	706	43	=	=	PUNCT
ap-7699	706	44	−2ωr	−2ωr	PROPN
ap-7699	706	45	as	as	SCONJ
ap-7699	706	46	derived	derive	VERB
ap-7699	706	47	exactly	exactly	ADV
ap-7699	706	48	above	above	ADV
ap-7699	706	49	.	.	PUNCT
ap-7699	707	1	the	the	DET
ap-7699	707	2	highest	high	ADJ
ap-7699	707	3	derivative	derivative	ADJ
ap-7699	707	4	level	level	NOUN
ap-7699	707	5	of	of	ADP
ap-7699	707	6	the	the	DET
ap-7699	707	7	gravitational	gravitational	ADJ
ap-7699	707	8	action	action	NOUN
ap-7699	707	9	is	be	AUX
ap-7699	707	10	then	then	ADV
ap-7699	707	11	completely	completely	ADV
ap-7699	707	12	gauge	gauge	NOUN
ap-7699	707	13	-	-	PUNCT
ap-7699	707	14	fixed	fix	VERB
ap-7699	707	15	.	.	PUNCT
ap-7699	708	1	137	137	NUM
ap-7699	708	2	lesław	lesław	PROPN
ap-7699	708	3	rachwał	rachwał	PROPN
ap-7699	708	4	acta	acta	PROPN
ap-7699	708	5	polytechnica	polytechnica	PROPN
ap-7699	708	6	in	in	ADP
ap-7699	708	7	the	the	DET
ap-7699	708	8	opposite	opposite	ADJ
ap-7699	708	9	case	case	NOUN
ap-7699	708	10	,	,	PUNCT
ap-7699	708	11	when	when	SCONJ
ap-7699	708	12	ωr	ωr	ADV
ap-7699	708	13	=	=	SYM
ap-7699	708	14	0	0	PROPN
ap-7699	708	15	,	,	PUNCT
ap-7699	708	16	the	the	DET
ap-7699	708	17	leading	lead	VERB
ap-7699	708	18	part	part	NOUN
ap-7699	708	19	of	of	ADP
ap-7699	708	20	the	the	DET
ap-7699	708	21	hessian	hessian	NOUN
ap-7699	708	22	does	do	AUX
ap-7699	708	23	not	not	PART
ap-7699	708	24	vanish	vanish	VERB
ap-7699	708	25	,	,	PUNCT
ap-7699	708	26	but	but	CCONJ
ap-7699	708	27	it	it	PRON
ap-7699	708	28	is	be	AUX
ap-7699	708	29	degenerate	degenerate	ADJ
ap-7699	708	30	and	and	CCONJ
ap-7699	708	31	in	in	ADP
ap-7699	708	32	the	the	DET
ap-7699	708	33	form	form	NOUN
ap-7699	708	34	hµν	hµν	NOUN
ap-7699	708	35	,	,	PUNCT
ap-7699	708	36	ρσ	ρσ	ADP
ap-7699	708	37	lead	lead	NOUN
ap-7699	708	38	=	=	PUNCT
ap-7699	708	39	ωc	ωc	ADP
ap-7699	708	40	2	2	NUM
ap-7699	708	41	□	□	PUNCT
ap-7699	708	42	(	(	PUNCT
ap-7699	708	43	gµρgνσ	gµρgνσ	NOUN
ap-7699	708	44	+	+	CCONJ
ap-7699	708	45	gµσgνρ	gµσgνρ	NOUN
ap-7699	708	46	)	)	PUNCT
ap-7699	708	47	−	−	NUM
ap-7699	708	48	ωc	ωc	ADP
ap-7699	708	49	4	4	NUM
ap-7699	708	50	□	□	PUNCT
ap-7699	708	51	gµνgρσ	gµνgρσ	NOUN
ap-7699	708	52	,	,	PUNCT
ap-7699	708	53	(	(	PUNCT
ap-7699	708	54	54	54	NUM
ap-7699	708	55	)	)	PUNCT
ap-7699	708	56	because	because	SCONJ
ap-7699	708	57	this	this	DET
ap-7699	708	58	operator	operator	NOUN
ap-7699	708	59	does	do	AUX
ap-7699	708	60	not	not	PART
ap-7699	708	61	possess	possess	VERB
ap-7699	708	62	a	a	DET
ap-7699	708	63	well	well	ADV
ap-7699	708	64	-	-	PUNCT
ap-7699	708	65	defined	define	VERB
ap-7699	708	66	inverse	inverse	NOUN
ap-7699	708	67	,	,	PUNCT
ap-7699	708	68	precisely	precisely	ADV
ap-7699	708	69	in	in	ADP
ap-7699	708	70	d	d	NOUN
ap-7699	708	71	=	=	SYM
ap-7699	708	72	4	4	NUM
ap-7699	708	73	dimensions	dimension	NOUN
ap-7699	708	74	.	.	PUNCT
ap-7699	709	1	an	an	DET
ap-7699	709	2	addition	addition	NOUN
ap-7699	709	3	of	of	ADP
ap-7699	709	4	a	a	DET
ap-7699	709	5	new	new	ADJ
ap-7699	709	6	conformal	conformal	ADJ
ap-7699	709	7	-	-	PUNCT
ap-7699	709	8	like	like	ADJ
ap-7699	709	9	type	type	NOUN
ap-7699	709	10	of	of	ADP
ap-7699	709	11	gauge	gauge	NOUN
ap-7699	709	12	-	-	PUNCT
ap-7699	709	13	fixing	fixing	NOUN
ap-7699	709	14	here	here	ADV
ap-7699	709	15	τh	τh	ADP
ap-7699	709	16	□	□	X
ap-7699	709	17	3h	3h	NOUN
ap-7699	709	18	with	with	ADP
ap-7699	709	19	a	a	DET
ap-7699	709	20	new	new	ADJ
ap-7699	709	21	(	(	PUNCT
ap-7699	709	22	fourth	fourth	ADJ
ap-7699	709	23	)	)	PUNCT
ap-7699	709	24	gauge	gauge	NOUN
ap-7699	709	25	-	-	PUNCT
ap-7699	709	26	fixing	fix	VERB
ap-7699	709	27	parameter	parameter	NOUN
ap-7699	709	28	τ	τ	PROPN
ap-7699	709	29	and	and	CCONJ
ap-7699	709	30	where	where	SCONJ
ap-7699	709	31	the	the	DET
ap-7699	709	32	trace	trace	NOUN
ap-7699	709	33	of	of	ADP
ap-7699	709	34	metric	metric	ADJ
ap-7699	709	35	fluctuations	fluctuation	NOUN
ap-7699	709	36	h	h	NOUN
ap-7699	710	1	=	=	NOUN
ap-7699	710	2	hµ	hµ	PRON
ap-7699	710	3	µ	µ	NOUN
ap-7699	710	4	is	be	AUX
ap-7699	710	5	used	use	VERB
ap-7699	710	6	,	,	PUNCT
ap-7699	710	7	removes	remove	VERB
ap-7699	710	8	the	the	DET
ap-7699	710	9	degeneracy	degeneracy	NOUN
ap-7699	710	10	provided	provide	VERB
ap-7699	710	11	that	that	SCONJ
ap-7699	710	12	τ	τ	PROPN
ap-7699	710	13	̸=	̸=	PROPN
ap-7699	710	14	0	0	NUM
ap-7699	710	15	is	be	AUX
ap-7699	710	16	selected	select	VERB
ap-7699	710	17	.	.	PUNCT
ap-7699	711	1	then	then	ADV
ap-7699	711	2	the	the	DET
ap-7699	711	3	kinetic	kinetic	ADJ
ap-7699	711	4	operator	operator	NOUN
ap-7699	711	5	takes	take	VERB
ap-7699	711	6	the	the	DET
ap-7699	711	7	form	form	NOUN
ap-7699	711	8	hµν	hµν	NOUN
ap-7699	711	9	,	,	PUNCT
ap-7699	711	10	ρσ	ρσ	ADP
ap-7699	711	11	lead	lead	NOUN
ap-7699	711	12	=	=	PUNCT
ap-7699	711	13	ωc	ωc	ADP
ap-7699	711	14	2	2	NUM
ap-7699	711	15	□	□	PUNCT
ap-7699	711	16	(	(	PUNCT
ap-7699	711	17	gµρgνσ	gµρgνσ	NOUN
ap-7699	711	18	+	+	CCONJ
ap-7699	711	19	gµσgνρ	gµσgνρ	NOUN
ap-7699	711	20	)	)	PUNCT
ap-7699	712	1	+	+	CCONJ
ap-7699	712	2	(	(	PUNCT
ap-7699	712	3	τ	τ	X
ap-7699	712	4	−	−	NUM
ap-7699	712	5	ωc	ωc	INTJ
ap-7699	712	6	4	4	NUM
ap-7699	712	7	)	)	PUNCT
ap-7699	712	8	□	□	PUNCT
ap-7699	712	9	gµνgρσ	gµνgρσ	NOUN
ap-7699	712	10	.	.	PUNCT
ap-7699	713	1	(	(	PUNCT
ap-7699	713	2	55	55	NUM
ap-7699	713	3	)	)	PUNCT
ap-7699	713	4	moreover	moreover	ADV
ap-7699	713	5	,	,	PUNCT
ap-7699	713	6	for	for	ADP
ap-7699	713	7	any	any	DET
ap-7699	713	8	non	non	ADJ
ap-7699	713	9	-	-	ADJ
ap-7699	713	10	zero	zero	NUM
ap-7699	713	11	value	value	NOUN
ap-7699	713	12	of	of	ADP
ap-7699	713	13	τ	τ	PROPN
ap-7699	713	14	the	the	DET
ap-7699	713	15	hessian	hessian	NOUN
ap-7699	713	16	is	be	AUX
ap-7699	713	17	still	still	ADV
ap-7699	713	18	a	a	DET
ap-7699	713	19	minimal	minimal	ADJ
ap-7699	713	20	operator	operator	NOUN
ap-7699	713	21	.	.	PUNCT
ap-7699	714	1	for	for	ADP
ap-7699	714	2	τ	τ	PROPN
ap-7699	714	3	̸=	̸=	PROPN
ap-7699	714	4	0	0	NUM
ap-7699	714	5	the	the	DET
ap-7699	714	6	inverse	inverse	NOUN
ap-7699	714	7	exists	exist	VERB
ap-7699	714	8	and	and	CCONJ
ap-7699	714	9	also	also	ADV
ap-7699	714	10	the	the	DET
ap-7699	714	11	propagator	propagator	NOUN
ap-7699	714	12	can	can	AUX
ap-7699	714	13	be	be	AUX
ap-7699	714	14	defined	define	VERB
ap-7699	714	15	around	around	ADP
ap-7699	714	16	flat	flat	ADJ
ap-7699	714	17	spacetime	spacetime	NOUN
ap-7699	714	18	.	.	PUNCT
ap-7699	715	1	the	the	DET
ap-7699	715	2	only	only	ADJ
ap-7699	715	3	question	question	NOUN
ap-7699	715	4	is	be	AUX
ap-7699	715	5	whether	whether	SCONJ
ap-7699	715	6	the	the	DET
ap-7699	715	7	final	final	ADJ
ap-7699	715	8	results	result	NOUN
ap-7699	715	9	are	be	AUX
ap-7699	715	10	τ	τ	NOUN
ap-7699	715	11	-independent	-independent	ADJ
ap-7699	715	12	since	since	SCONJ
ap-7699	715	13	this	this	PRON
ap-7699	715	14	is	be	AUX
ap-7699	715	15	a	a	DET
ap-7699	715	16	spurious	spurious	ADJ
ap-7699	715	17	gauge	gauge	NOUN
ap-7699	715	18	-	-	PUNCT
ap-7699	715	19	fixing	fix	VERB
ap-7699	715	20	parameter	parameter	NOUN
ap-7699	715	21	.	.	PUNCT
ap-7699	716	1	the	the	DET
ap-7699	716	2	reason	reason	NOUN
ap-7699	716	3	for	for	ADP
ap-7699	716	4	such	such	ADJ
ap-7699	716	5	independence	independence	NOUN
ap-7699	716	6	is	be	AUX
ap-7699	716	7	obvious	obvious	ADJ
ap-7699	716	8	in	in	ADP
ap-7699	716	9	the	the	DET
ap-7699	716	10	four	four	NUM
ap-7699	716	11	-	-	PUNCT
ap-7699	716	12	derivative	derivative	NOUN
ap-7699	716	13	case	case	NOUN
ap-7699	716	14	,	,	PUNCT
ap-7699	716	15	since	since	SCONJ
ap-7699	716	16	τ	τ	PROPN
ap-7699	716	17	is	be	AUX
ap-7699	716	18	a	a	DET
ap-7699	716	19	gauge	gauge	ADV
ap-7699	716	20	-	-	PUNCT
ap-7699	716	21	fixing	fix	VERB
ap-7699	716	22	parameter	parameter	NOUN
ap-7699	716	23	for	for	ADP
ap-7699	716	24	conformal	conformal	ADJ
ap-7699	716	25	symmetry	symmetry	NOUN
ap-7699	716	26	(	(	PUNCT
ap-7699	716	27	conformal	conformal	NOUN
ap-7699	716	28	gauge	gauge	NOUN
ap-7699	716	29	-	-	PUNCT
ap-7699	716	30	fixing	fix	VERB
ap-7699	716	31	parameter	parameter	NOUN
ap-7699	716	32	,	,	PUNCT
ap-7699	716	33	so	so	CCONJ
ap-7699	716	34	this	this	PRON
ap-7699	716	35	is	be	AUX
ap-7699	716	36	then	then	ADV
ap-7699	716	37	in	in	ADP
ap-7699	716	38	such	such	ADJ
ap-7699	716	39	circumstances	circumstance	NOUN
ap-7699	716	40	a	a	DET
ap-7699	716	41	symmetry	symmetry	NOUN
ap-7699	716	42	argument	argument	NOUN
ap-7699	716	43	)	)	PUNCT
ap-7699	716	44	.	.	PUNCT
ap-7699	717	1	but	but	CCONJ
ap-7699	717	2	in	in	ADP
ap-7699	717	3	the	the	DET
ap-7699	717	4	case	case	NOUN
ap-7699	717	5	of	of	ADP
ap-7699	717	6	six	six	NUM
ap-7699	717	7	-	-	PUNCT
ap-7699	717	8	derivative	derivative	ADJ
ap-7699	717	9	model	model	NOUN
ap-7699	717	10	in	in	ADP
ap-7699	717	11	d	d	PROPN
ap-7699	717	12	=	=	SYM
ap-7699	717	13	4	4	NUM
ap-7699	717	14	,	,	PUNCT
ap-7699	717	15	the	the	DET
ap-7699	717	16	reasoning	reasoning	NOUN
ap-7699	717	17	with	with	ADP
ap-7699	717	18	conformal	conformal	ADJ
ap-7699	717	19	symmetry	symmetry	NOUN
ap-7699	717	20	is	be	AUX
ap-7699	717	21	not	not	PART
ap-7699	717	22	adequate	adequate	ADJ
ap-7699	717	23	since	since	SCONJ
ap-7699	717	24	this	this	DET
ap-7699	717	25	model	model	NOUN
ap-7699	717	26	is	be	AUX
ap-7699	717	27	not	not	PART
ap-7699	717	28	conformal	conformal	ADJ
ap-7699	717	29	anymore	anymore	ADV
ap-7699	717	30	.	.	PUNCT
ap-7699	718	1	only	only	ADV
ap-7699	718	2	the	the	DET
ap-7699	718	3	explicit	explicit	ADJ
ap-7699	718	4	computation	computation	NOUN
ap-7699	718	5	may	may	AUX
ap-7699	718	6	show	show	VERB
ap-7699	718	7	that	that	SCONJ
ap-7699	718	8	τ	τ	PROPN
ap-7699	718	9	parameter	parameter	NOUN
ap-7699	718	10	drops	drop	VERB
ap-7699	718	11	out	out	ADP
ap-7699	718	12	from	from	ADP
ap-7699	718	13	final	final	ADJ
ap-7699	718	14	results	result	NOUN
ap-7699	718	15	as	as	SCONJ
ap-7699	718	16	it	it	PRON
ap-7699	718	17	should	should	AUX
ap-7699	718	18	for	for	SCONJ
ap-7699	718	19	them	they	PRON
ap-7699	718	20	to	to	PART
ap-7699	718	21	be	be	AUX
ap-7699	718	22	physical	physical	ADJ
ap-7699	718	23	and	and	CCONJ
ap-7699	719	1	τ	τ	PROPN
ap-7699	719	2	gauge	gauge	NOUN
ap-7699	719	3	choice	choice	NOUN
ap-7699	719	4	independent	independent	ADJ
ap-7699	719	5	.	.	PUNCT
ap-7699	720	1	in	in	ADP
ap-7699	720	2	four	four	NUM
ap-7699	720	3	-	-	PUNCT
ap-7699	720	4	derivative	derivative	ADJ
ap-7699	720	5	gravitational	gravitational	ADJ
ap-7699	720	6	theory	theory	NOUN
ap-7699	720	7	,	,	PUNCT
ap-7699	720	8	one	one	PRON
ap-7699	720	9	can	can	AUX
ap-7699	720	10	see	see	VERB
ap-7699	720	11	the	the	DET
ap-7699	720	12	dependence	dependence	NOUN
ap-7699	720	13	on	on	ADP
ap-7699	720	14	the	the	DET
ap-7699	720	15	x4−der	x4−der	PROPN
ap-7699	720	16	ratio	ratio	NOUN
ap-7699	720	17	only	only	ADV
ap-7699	720	18	in	in	ADP
ap-7699	720	19	the	the	DET
ap-7699	720	20	coefficient	coefficient	NOUN
ap-7699	720	21	of	of	ADP
ap-7699	720	22	the	the	DET
ap-7699	720	23	r2	r2	PROPN
ap-7699	720	24	counterterm	counterterm	NOUN
ap-7699	720	25	.	.	PUNCT
ap-7699	721	1	this	this	DET
ap-7699	721	2	dependence	dependence	NOUN
ap-7699	721	3	is	be	AUX
ap-7699	721	4	with	with	ADP
ap-7699	721	5	the	the	DET
ap-7699	721	6	general	general	ADJ
ap-7699	721	7	schematic	schematic	ADJ
ap-7699	721	8	form	form	NOUN
ap-7699	721	9	a−2x−2	a−2x−2	ADP
ap-7699	721	10	4−der	4−der	NOUN
ap-7699	721	11	+	+	CCONJ
ap-7699	721	12	a−1x−1	a−1x−1	NOUN
ap-7699	721	13	4−der	4−der	NOUN
ap-7699	721	14	+	+	CCONJ
ap-7699	721	15	a0x0	a0x0	PROPN
ap-7699	721	16	4−der	4−der	NOUN
ap-7699	721	17	like	like	VERB
ap-7699	721	18	in	in	ADP
ap-7699	721	19	(	(	PUNCT
ap-7699	721	20	49	49	NUM
ap-7699	721	21	)	)	PUNCT
ap-7699	721	22	and	and	CCONJ
ap-7699	721	23	in	in	ADP
ap-7699	721	24	(	(	PUNCT
ap-7699	721	25	34	34	NUM
ap-7699	721	26	)	)	PUNCT
ap-7699	721	27	.	.	PUNCT
ap-7699	722	1	we	we	PRON
ap-7699	722	2	remark	remark	VERB
ap-7699	722	3	that	that	SCONJ
ap-7699	722	4	for	for	ADP
ap-7699	722	5	other	other	ADJ
ap-7699	722	6	counterterms	counterterm	NOUN
ap-7699	722	7	(	(	PUNCT
ap-7699	722	8	namely	namely	ADV
ap-7699	722	9	for	for	ADP
ap-7699	722	10	c2	c2	PROPN
ap-7699	722	11	and	and	CCONJ
ap-7699	722	12	gb	gb	NOUN
ap-7699	722	13	in	in	ADP
ap-7699	722	14	this	this	DET
ap-7699	722	15	weyl	weyl	VERB
ap-7699	722	16	basis	basis	NOUN
ap-7699	722	17	)	)	PUNCT
ap-7699	722	18	,	,	PUNCT
ap-7699	722	19	the	the	DET
ap-7699	722	20	coefficients	coefficient	NOUN
ap-7699	722	21	of	of	ADP
ap-7699	722	22	uv	uv	NOUN
ap-7699	722	23	divergences	divergence	NOUN
ap-7699	722	24	are	be	AUX
ap-7699	722	25	numbers	number	NOUN
ap-7699	722	26	completely	completely	ADV
ap-7699	722	27	independent	independent	ADJ
ap-7699	722	28	of	of	ADP
ap-7699	722	29	x4−der	x4−der	PROPN
ap-7699	722	30	.	.	PUNCT
ap-7699	723	1	one	one	PRON
ap-7699	723	2	could	could	AUX
ap-7699	723	3	try	try	VERB
ap-7699	723	4	to	to	PART
ap-7699	723	5	explain	explain	VERB
ap-7699	723	6	here	here	ADV
ap-7699	723	7	this	this	DET
ap-7699	723	8	quadratic	quadratic	ADJ
ap-7699	723	9	dependence	dependence	NOUN
ap-7699	723	10	in	in	ADP
ap-7699	723	11	the	the	DET
ap-7699	723	12	inverse	inverse	NOUN
ap-7699	723	13	ratio	ratio	NOUN
ap-7699	723	14	x−1	x−1	PROPN
ap-7699	724	1	4−der	4−der	NOUN
ap-7699	724	2	in	in	ADP
ap-7699	724	3	front	front	NOUN
ap-7699	724	4	of	of	ADP
ap-7699	724	5	the	the	DET
ap-7699	724	6	r2	r2	PROPN
ap-7699	724	7	counterterm	counterterm	NOUN
ap-7699	724	8	in	in	ADP
ap-7699	724	9	a	a	DET
ap-7699	724	10	spirit	spirit	NOUN
ap-7699	724	11	similar	similar	ADJ
ap-7699	724	12	to	to	ADP
ap-7699	724	13	the	the	DET
ap-7699	724	14	argumentation	argumentation	NOUN
ap-7699	724	15	presented	present	VERB
ap-7699	724	16	in	in	ADP
ap-7699	724	17	[	[	X
ap-7699	724	18	44	44	NUM
ap-7699	724	19	]	]	PUNCT
ap-7699	724	20	,	,	PUNCT
ap-7699	724	21	where	where	SCONJ
ap-7699	724	22	we	we	PRON
ap-7699	724	23	counted	count	VERB
ap-7699	724	24	active	active	ADJ
ap-7699	724	25	degrees	degree	NOUN
ap-7699	724	26	of	of	ADP
ap-7699	724	27	freedom	freedom	NOUN
ap-7699	724	28	contributing	contribute	VERB
ap-7699	724	29	to	to	ADP
ap-7699	724	30	the	the	DET
ap-7699	724	31	corresponding	corresponding	ADJ
ap-7699	724	32	beta	beta	NOUN
ap-7699	724	33	functions	function	NOUN
ap-7699	724	34	of	of	ADP
ap-7699	724	35	the	the	DET
ap-7699	724	36	theory	theory	NOUN
ap-7699	724	37	.	.	PUNCT
ap-7699	725	1	it	it	PRON
ap-7699	725	2	is	be	AUX
ap-7699	725	3	well	well	ADV
ap-7699	725	4	known	know	VERB
ap-7699	725	5	by	by	ADP
ap-7699	725	6	the	the	DET
ap-7699	725	7	examples	example	NOUN
ap-7699	725	8	of	of	ADP
ap-7699	725	9	beta	beta	ADJ
ap-7699	725	10	functions	function	NOUN
ap-7699	725	11	in	in	ADP
ap-7699	725	12	qed	qed	PROPN
ap-7699	725	13	coupled	couple	VERB
ap-7699	725	14	to	to	ADP
ap-7699	725	15	some	some	DET
ap-7699	725	16	charged	charge	VERB
ap-7699	725	17	matter	matter	NOUN
ap-7699	725	18	and	and	CCONJ
ap-7699	725	19	in	in	ADP
ap-7699	725	20	yang	yang	PROPN
ap-7699	725	21	-	-	PUNCT
ap-7699	725	22	mills	mill	NOUN
ap-7699	725	23	theory	theory	NOUN
ap-7699	725	24	,	,	PUNCT
ap-7699	725	25	that	that	SCONJ
ap-7699	725	26	the	the	DET
ap-7699	725	27	beta	beta	ADJ
ap-7699	725	28	function	function	NOUN
ap-7699	725	29	at	at	ADP
ap-7699	725	30	the	the	DET
ap-7699	725	31	one	one	NUM
ap-7699	725	32	-	-	PUNCT
ap-7699	725	33	loop	loop	NOUN
ap-7699	725	34	level	level	NOUN
ap-7699	725	35	expresses	express	VERB
ap-7699	725	36	weighted	weight	VERB
ap-7699	725	37	counting	counting	NOUN
ap-7699	725	38	of	of	ADP
ap-7699	725	39	degrees	degree	NOUN
ap-7699	725	40	of	of	ADP
ap-7699	725	41	freedom	freedom	NOUN
ap-7699	725	42	and	and	CCONJ
ap-7699	725	43	their	their	PRON
ap-7699	725	44	charges	charge	NOUN
ap-7699	725	45	in	in	ADP
ap-7699	725	46	interactions	interaction	NOUN
ap-7699	725	47	with	with	ADP
ap-7699	725	48	gauge	gauge	ADJ
ap-7699	725	49	bosons	boson	NOUN
ap-7699	725	50	in	in	ADP
ap-7699	725	51	question	question	NOUN
ap-7699	725	52	(	(	PUNCT
ap-7699	725	53	minimal	minimal	ADJ
ap-7699	725	54	couplings	coupling	NOUN
ap-7699	725	55	in	in	ADP
ap-7699	725	56	three	three	NUM
ap-7699	725	57	-	-	PUNCT
ap-7699	725	58	leg	leg	NOUN
ap-7699	725	59	vertices	vertex	NOUN
ap-7699	725	60	are	be	AUX
ap-7699	725	61	enough	enough	ADJ
ap-7699	725	62	to	to	PART
ap-7699	725	63	be	be	AUX
ap-7699	725	64	considered	consider	VERB
ap-7699	725	65	here	here	ADV
ap-7699	725	66	due	due	ADJ
ap-7699	725	67	the	the	DET
ap-7699	725	68	gauge	gauge	NOUN
ap-7699	725	69	symmetry	symmetry	NOUN
ap-7699	725	70	)	)	PUNCT
ap-7699	725	71	.	.	PUNCT
ap-7699	726	1	the	the	DET
ap-7699	726	2	similar	similar	ADJ
ap-7699	726	3	counting	counting	NOUN
ap-7699	726	4	could	could	AUX
ap-7699	726	5	be	be	AUX
ap-7699	726	6	attempted	attempt	VERB
ap-7699	726	7	here	here	ADV
ap-7699	726	8	,	,	PUNCT
ap-7699	726	9	but	but	CCONJ
ap-7699	726	10	in	in	ADP
ap-7699	726	11	gravity	gravity	NOUN
ap-7699	726	12	,	,	PUNCT
ap-7699	726	13	especially	especially	ADV
ap-7699	726	14	in	in	ADP
ap-7699	726	15	hd	hd	NOUN
ap-7699	726	16	gravity	gravity	NOUN
ap-7699	726	17	,	,	PUNCT
ap-7699	726	18	there	there	PRON
ap-7699	726	19	is	be	VERB
ap-7699	726	20	a	a	DET
ap-7699	726	21	plenty	plenty	NOUN
ap-7699	726	22	of	of	ADP
ap-7699	726	23	other	other	ADJ
ap-7699	726	24	gravitational	gravitational	ADJ
ap-7699	726	25	degrees	degree	NOUN
ap-7699	726	26	of	of	ADP
ap-7699	726	27	freedom	freedom	NOUN
ap-7699	726	28	,	,	PUNCT
ap-7699	726	29	so	so	CCONJ
ap-7699	726	30	this	this	PRON
ap-7699	726	31	is	be	AUX
ap-7699	726	32	quite	quite	DET
ap-7699	726	33	a	a	DET
ap-7699	726	34	difficult	difficult	ADJ
ap-7699	726	35	task	task	NOUN
ap-7699	726	36	to	to	PART
ap-7699	726	37	enumerate	enumerate	VERB
ap-7699	726	38	all	all	PRON
ap-7699	726	39	of	of	ADP
ap-7699	726	40	them	they	PRON
ap-7699	726	41	and	and	CCONJ
ap-7699	726	42	their	their	PRON
ap-7699	726	43	strength	strength	NOUN
ap-7699	726	44	of	of	ADP
ap-7699	726	45	interactions	interaction	NOUN
ap-7699	726	46	in	in	ADP
ap-7699	726	47	cubic	cubic	ADJ
ap-7699	726	48	vertices	vertex	NOUN
ap-7699	726	49	when	when	SCONJ
ap-7699	726	50	they	they	PRON
ap-7699	726	51	interact	interact	VERB
ap-7699	726	52	with	with	ADP
ap-7699	726	53	background	background	NOUN
ap-7699	726	54	gravitational	gravitational	ADJ
ap-7699	726	55	potentials	potential	NOUN
ap-7699	726	56	.	.	PUNCT
ap-7699	727	1	therefore	therefore	ADV
ap-7699	727	2	,	,	PUNCT
ap-7699	727	3	this	this	DET
ap-7699	727	4	task	task	NOUN
ap-7699	727	5	of	of	ADP
ap-7699	727	6	explaining	explain	VERB
ap-7699	727	7	x	x	NOUN
ap-7699	727	8	-	-	NOUN
ap-7699	727	9	dependence	dependence	NOUN
ap-7699	727	10	and	and	CCONJ
ap-7699	727	11	numbers	number	NOUN
ap-7699	727	12	present	present	ADJ
ap-7699	727	13	in	in	ADP
ap-7699	727	14	the	the	DET
ap-7699	727	15	expressions	expression	NOUN
ap-7699	727	16	for	for	ADP
ap-7699	727	17	all	all	DET
ap-7699	727	18	the	the	DET
ap-7699	727	19	beta	beta	NOUN
ap-7699	727	20	functions	function	NOUN
ap-7699	727	21	both	both	CCONJ
ap-7699	727	22	in	in	ADP
ap-7699	727	23	fourand	fourand	ADJ
ap-7699	727	24	six	six	NUM
ap-7699	727	25	-	-	PUNCT
ap-7699	727	26	derivative	derivative	ADJ
ap-7699	727	27	theories	theory	NOUN
ap-7699	727	28	,	,	PUNCT
ap-7699	727	29	now	now	ADV
ap-7699	727	30	seems	seem	VERB
ap-7699	727	31	to	to	PART
ap-7699	727	32	be	be	AUX
ap-7699	727	33	too	too	ADV
ap-7699	727	34	ambitious	ambitious	ADJ
ap-7699	727	35	and	and	CCONJ
ap-7699	727	36	we	we	PRON
ap-7699	727	37	leave	leave	VERB
ap-7699	727	38	it	it	PRON
ap-7699	727	39	for	for	ADP
ap-7699	727	40	some	some	DET
ap-7699	727	41	further	further	ADJ
ap-7699	727	42	future	future	ADJ
ap-7699	727	43	considerations	consideration	NOUN
ap-7699	727	44	.	.	PUNCT
ap-7699	728	1	instead	instead	ADV
ap-7699	728	2	,	,	PUNCT
ap-7699	728	3	we	we	PRON
ap-7699	728	4	comment	comment	VERB
ap-7699	728	5	briefly	briefly	ADV
ap-7699	728	6	on	on	ADP
ap-7699	728	7	the	the	DET
ap-7699	728	8	general	general	ADJ
ap-7699	728	9	dependence	dependence	NOUN
ap-7699	728	10	on	on	ADP
ap-7699	728	11	the	the	DET
ap-7699	728	12	x4−der	x4−der	PROPN
ap-7699	728	13	ratio	ratio	NOUN
ap-7699	728	14	in	in	ADP
ap-7699	728	15	four	four	NUM
ap-7699	728	16	-	-	PUNCT
ap-7699	728	17	derivative	derivative	ADJ
ap-7699	728	18	theory	theory	NOUN
ap-7699	728	19	and	and	CCONJ
ap-7699	728	20	compare	compare	VERB
ap-7699	728	21	this	this	PRON
ap-7699	728	22	with	with	ADP
ap-7699	728	23	six	six	NUM
ap-7699	728	24	-	-	PUNCT
ap-7699	728	25	derivative	derivative	ADJ
ap-7699	728	26	theory	theory	NOUN
ap-7699	728	27	.	.	PUNCT
ap-7699	729	1	in	in	ADP
ap-7699	729	2	the	the	DET
ap-7699	729	3	case	case	NOUN
ap-7699	729	4	of	of	ADP
ap-7699	729	5	n	n	NOUN
ap-7699	729	6	=	=	SYM
ap-7699	729	7	1	1	NUM
ap-7699	729	8	(	(	PUNCT
ap-7699	729	9	six	six	NUM
ap-7699	729	10	-	-	PUNCT
ap-7699	729	11	derivative	derivative	ADJ
ap-7699	729	12	gravitational	gravitational	ADJ
ap-7699	729	13	theory	theory	NOUN
ap-7699	729	14	)	)	PUNCT
ap-7699	729	15	,	,	PUNCT
ap-7699	729	16	it	it	PRON
ap-7699	729	17	was	be	AUX
ap-7699	729	18	found	find	VERB
ap-7699	729	19	as	as	ADP
ap-7699	729	20	a	a	DET
ap-7699	729	21	main	main	ADJ
ap-7699	729	22	result	result	NOUN
ap-7699	729	23	in	in	ADP
ap-7699	729	24	[	[	X
ap-7699	729	25	26	26	NUM
ap-7699	729	26	]	]	PUNCT
ap-7699	729	27	,	,	PUNCT
ap-7699	729	28	that	that	SCONJ
ap-7699	729	29	the	the	DET
ap-7699	729	30	dependence	dependence	NOUN
ap-7699	729	31	on	on	ADP
ap-7699	729	32	x	x	SYM
ap-7699	729	33	is	be	AUX
ap-7699	729	34	only	only	ADV
ap-7699	729	35	in	in	ADP
ap-7699	729	36	front	front	NOUN
ap-7699	729	37	of	of	ADP
ap-7699	729	38	the	the	DET
ap-7699	729	39	c2	c2	PROPN
ap-7699	729	40	counterterm	counterterm	NOUN
ap-7699	729	41	and	and	CCONJ
ap-7699	729	42	this	this	PRON
ap-7699	729	43	is	be	AUX
ap-7699	729	44	a	a	DET
ap-7699	729	45	linear	linear	ADJ
ap-7699	729	46	dependence	dependence	NOUN
ap-7699	729	47	b1x1	b1x1	X
ap-7699	730	1	+	+	X
ap-7699	730	2	b0x0	b0x0	X
ap-7699	730	3	like	like	INTJ
ap-7699	730	4	in	in	ADP
ap-7699	730	5	(	(	PUNCT
ap-7699	730	6	51	51	NUM
ap-7699	730	7	)	)	PUNCT
ap-7699	730	8	with	with	ADP
ap-7699	730	9	non	non	ADJ
ap-7699	730	10	-	-	ADJ
ap-7699	730	11	negative	negative	ADJ
ap-7699	730	12	powers	power	NOUN
ap-7699	730	13	of	of	ADP
ap-7699	730	14	the	the	DET
ap-7699	730	15	x	x	NOUN
ap-7699	730	16	ratio	ratio	NOUN
ap-7699	730	17	.	.	PUNCT
ap-7699	731	1	the	the	DET
ap-7699	731	2	other	other	ADJ
ap-7699	731	3	counterterms	counterterm	NOUN
ap-7699	731	4	r2	r2	PROPN
ap-7699	731	5	and	and	CCONJ
ap-7699	731	6	gb	gb	PRON
ap-7699	731	7	are	be	AUX
ap-7699	731	8	with	with	ADP
ap-7699	731	9	constant	constant	ADJ
ap-7699	731	10	coefficients	coefficient	NOUN
ap-7699	731	11	(	(	PUNCT
ap-7699	731	12	only	only	ADV
ap-7699	731	13	b0	b0	VERB
ap-7699	731	14	terms	term	NOUN
ap-7699	731	15	present	present	ADJ
ap-7699	731	16	)	)	PUNCT
ap-7699	731	17	(	(	PUNCT
ap-7699	731	18	cf	cf	NOUN
ap-7699	731	19	.	.	PUNCT
ap-7699	732	1	with	with	ADP
ap-7699	732	2	(	(	PUNCT
ap-7699	732	3	33	33	NUM
ap-7699	732	4	)	)	PUNCT
ap-7699	732	5	)	)	PUNCT
ap-7699	732	6	.	.	PUNCT
ap-7699	733	1	if	if	SCONJ
ap-7699	733	2	the	the	DET
ap-7699	733	3	other	other	ADJ
ap-7699	733	4	than	than	ADP
ap-7699	733	5	the	the	DET
ap-7699	733	6	weyl	weyl	VERB
ap-7699	733	7	basis	basis	NOUN
ap-7699	733	8	is	be	AUX
ap-7699	733	9	used	use	VERB
ap-7699	733	10	to	to	PART
ap-7699	733	11	write	write	VERB
ap-7699	733	12	counterterms	counterterm	NOUN
ap-7699	733	13	,	,	PUNCT
ap-7699	733	14	then	then	ADV
ap-7699	733	15	the	the	DET
ap-7699	733	16	x	x	X
ap-7699	733	17	-	-	NOUN
ap-7699	733	18	dependence	dependence	NOUN
ap-7699	733	19	is	be	AUX
ap-7699	733	20	linear	linear	ADJ
ap-7699	733	21	in	in	ADP
ap-7699	733	22	coefficients	coefficient	NOUN
ap-7699	733	23	in	in	ADP
ap-7699	733	24	front	front	NOUN
ap-7699	733	25	of	of	ADP
ap-7699	733	26	each	each	DET
ap-7699	733	27	basis	basis	NOUN
ap-7699	733	28	term	term	NOUN
ap-7699	733	29	(	(	PUNCT
ap-7699	733	30	like	like	INTJ
ap-7699	733	31	in	in	ADP
ap-7699	733	32	the	the	DET
ap-7699	733	33	basis	basis	NOUN
ap-7699	733	34	with	with	ADP
ap-7699	733	35	r2	r2	PROPN
ap-7699	733	36	,	,	PUNCT
ap-7699	733	37	r2	r2	PROPN
ap-7699	733	38	µν	µν	INTJ
ap-7699	733	39	,	,	PUNCT
ap-7699	733	40	and	and	CCONJ
ap-7699	733	41	r2	r2	PROPN
ap-7699	733	42	µνρσ	µνρσ	PROPN
ap-7699	733	43	terms	term	NOUN
ap-7699	733	44	)	)	PUNCT
ap-7699	733	45	.	.	PUNCT
ap-7699	734	1	these	these	DET
ap-7699	734	2	explicit	explicit	ADJ
ap-7699	734	3	dissimilarities	dissimilarity	NOUN
ap-7699	734	4	between	between	ADP
ap-7699	734	5	n	n	NOUN
ap-7699	734	6	=	=	SYM
ap-7699	734	7	0	0	NUM
ap-7699	734	8	and	and	CCONJ
ap-7699	734	9	n	n	CCONJ
ap-7699	734	10	=	=	SYM
ap-7699	734	11	1	1	NUM
ap-7699	734	12	models	model	NOUN
ap-7699	734	13	certainly	certainly	ADV
ap-7699	734	14	require	require	VERB
ap-7699	734	15	deeper	deep	ADJ
ap-7699	734	16	investigations	investigation	NOUN
ap-7699	734	17	.	.	PUNCT
ap-7699	735	1	it	it	PRON
ap-7699	735	2	is	be	AUX
ap-7699	735	3	interesting	interesting	ADJ
ap-7699	735	4	also	also	ADV
ap-7699	735	5	to	to	PART
ap-7699	735	6	analyze	analyze	VERB
ap-7699	735	7	a	a	DET
ap-7699	735	8	special	special	ADJ
ap-7699	735	9	value	value	NOUN
ap-7699	735	10	of	of	ADP
ap-7699	735	11	the	the	DET
ap-7699	735	12	fundamental	fundamental	ADJ
ap-7699	735	13	ratio	ratio	NOUN
ap-7699	735	14	x	x	PUNCT
ap-7699	735	15	of	of	ADP
ap-7699	735	16	the	the	DET
ap-7699	735	17	six	six	NUM
ap-7699	735	18	-	-	PUNCT
ap-7699	735	19	derivative	derivative	ADJ
ap-7699	735	20	gravitational	gravitational	ADJ
ap-7699	735	21	theory	theory	NOUN
ap-7699	735	22	,	,	PUNCT
ap-7699	735	23	which	which	PRON
ap-7699	735	24	makes	make	VERB
ap-7699	735	25	the	the	DET
ap-7699	735	26	c2	c2	PROPN
ap-7699	735	27	sector	sector	NOUN
ap-7699	735	28	of	of	ADP
ap-7699	735	29	uv	uv	NOUN
ap-7699	735	30	divergences	divergence	NOUN
ap-7699	735	31	completely	completely	ADV
ap-7699	735	32	finite	finite	VERB
ap-7699	735	33	.	.	PUNCT
ap-7699	736	1	this	this	DET
ap-7699	736	2	value	value	NOUN
ap-7699	736	3	is	be	AUX
ap-7699	736	4	exactly	exactly	ADV
ap-7699	736	5	x	x	PUNCT
ap-7699	736	6	=	=	SYM
ap-7699	736	7	−	−	PROPN
ap-7699	736	8	3573	3573	NUM
ap-7699	736	9	80	80	NUM
ap-7699	736	10	=	=	SYM
ap-7699	736	11	−44.6625	−44.6625	PROPN
ap-7699	736	12	.	.	PUNCT
ap-7699	737	1	the	the	DET
ap-7699	737	2	r2	r2	PROPN
ap-7699	737	3	sector	sector	NOUN
ap-7699	737	4	of	of	ADP
ap-7699	737	5	uv	uv	NOUN
ap-7699	737	6	divergences	divergence	NOUN
ap-7699	737	7	can	can	AUX
ap-7699	737	8	not	not	PART
ap-7699	737	9	be	be	AUX
ap-7699	737	10	made	make	VERB
ap-7699	737	11	finite	finite	ADJ
ap-7699	737	12	this	this	DET
ap-7699	737	13	way	way	NOUN
ap-7699	737	14	.	.	PUNCT
ap-7699	738	1	we	we	PRON
ap-7699	738	2	remind	remind	VERB
ap-7699	738	3	for	for	ADP
ap-7699	738	4	comparison	comparison	NOUN
ap-7699	738	5	that	that	SCONJ
ap-7699	738	6	in	in	ADP
ap-7699	738	7	the	the	DET
ap-7699	738	8	case	case	NOUN
ap-7699	738	9	of	of	ADP
ap-7699	738	10	quadratic	quadratic	ADJ
ap-7699	738	11	gravity	gravity	NOUN
ap-7699	738	12	with	with	ADP
ap-7699	738	13	four	four	NUM
ap-7699	738	14	derivatives	derivative	NOUN
ap-7699	738	15	in	in	ADP
ap-7699	738	16	d	d	PROPN
ap-7699	738	17	=	=	SYM
ap-7699	738	18	4	4	NUM
ap-7699	738	19	,	,	PUNCT
ap-7699	738	20	the	the	DET
ap-7699	738	21	special	special	ADJ
ap-7699	738	22	values	value	NOUN
ap-7699	738	23	for	for	ADP
ap-7699	738	24	x4−der	x4−der	PROPN
ap-7699	738	25	,	,	PUNCT
ap-7699	738	26	which	which	PRON
ap-7699	738	27	made	make	VERB
ap-7699	738	28	contrary	contrary	ADJ
ap-7699	738	29	the	the	DET
ap-7699	738	30	r2	r2	PROPN
ap-7699	738	31	sector	sector	NOUN
ap-7699	738	32	uv	uv	NOUN
ap-7699	738	33	-	-	PUNCT
ap-7699	738	34	finite	finite	NOUN
ap-7699	738	35	,	,	PUNCT
ap-7699	738	36	were	be	AUX
ap-7699	738	37	two	two	NUM
ap-7699	738	38	and	and	CCONJ
ap-7699	738	39	they	they	PRON
ap-7699	738	40	were	be	AUX
ap-7699	738	41	x4−der	x4−der	PUNCT
ap-7699	739	1	=	=	PUNCT
ap-7699	739	2	3(3	3(3	NUM
ap-7699	739	3	±	±	NUM
ap-7699	739	4	√	√	ADV
ap-7699	739	5	7	7	NUM
ap-7699	739	6	)	)	PUNCT
ap-7699	739	7	(	(	PUNCT
ap-7699	739	8	their	their	PRON
ap-7699	739	9	numerical	numerical	ADJ
ap-7699	739	10	approximations	approximation	NOUN
ap-7699	739	11	are	be	AUX
ap-7699	739	12	as	as	SCONJ
ap-7699	739	13	follows	follow	VERB
ap-7699	739	14	:	:	PUNCT
ap-7699	740	1	x4−der,−	x4−der,−	PROPN
ap-7699	740	2	≈	≈	PROPN
ap-7699	740	3	1.0627	1.0627	NUM
ap-7699	740	4	and	and	CCONJ
ap-7699	740	5	x4−der,+	x4−der,+	PROPN
ap-7699	740	6	≈	≈	PROPN
ap-7699	740	7	16.937	16.937	NUM
ap-7699	740	8	)	)	PUNCT
ap-7699	740	9	as	as	ADP
ap-7699	740	10	solutions	solution	NOUN
ap-7699	740	11	of	of	ADP
ap-7699	740	12	some	some	DET
ap-7699	740	13	nondegenerate	nondegenerate	ADJ
ap-7699	740	14	quadratic	quadratic	ADJ
ap-7699	740	15	algebraic	algebraic	ADJ
ap-7699	740	16	equation	equation	NOUN
ap-7699	740	17	.	.	PUNCT
ap-7699	741	1	again	again	ADV
ap-7699	741	2	,	,	PUNCT
ap-7699	741	3	contrary	contrary	ADV
ap-7699	741	4	to	to	ADP
ap-7699	741	5	the	the	DET
ap-7699	741	6	previous	previous	ADJ
ap-7699	741	7	case	case	NOUN
ap-7699	741	8	with	with	ADP
ap-7699	741	9	six	six	NUM
ap-7699	741	10	derivatives	derivative	NOUN
ap-7699	741	11	,	,	PUNCT
ap-7699	741	12	here	here	ADV
ap-7699	741	13	the	the	DET
ap-7699	741	14	divergences	divergence	NOUN
ap-7699	741	15	in	in	ADP
ap-7699	741	16	the	the	DET
ap-7699	741	17	c2	c2	PROPN
ap-7699	741	18	sector	sector	NOUN
ap-7699	741	19	can	can	AUX
ap-7699	741	20	not	not	PART
ap-7699	741	21	be	be	AUX
ap-7699	741	22	made	make	VERB
ap-7699	741	23	vanish	vanish	ADJ
ap-7699	741	24	.	.	PUNCT
ap-7699	742	1	now	now	ADV
ap-7699	742	2	,	,	PUNCT
ap-7699	742	3	we	we	PRON
ap-7699	742	4	discuss	discuss	VERB
ap-7699	742	5	the	the	DET
ap-7699	742	6	differences	difference	NOUN
ap-7699	742	7	between	between	ADP
ap-7699	742	8	the	the	DET
ap-7699	742	9	two	two	NUM
ap-7699	742	10	extreme	extreme	ADJ
ap-7699	742	11	cases	case	NOUN
ap-7699	742	12	ωc	ωc	ADP
ap-7699	742	13	=	=	SYM
ap-7699	742	14	0	0	NUM
ap-7699	742	15	and	and	CCONJ
ap-7699	742	16	ωr	ωr	VERB
ap-7699	742	17	=	=	ADJ
ap-7699	742	18	0	0	PROPN
ap-7699	742	19	.	.	PUNCT
ap-7699	743	1	in	in	ADP
ap-7699	743	2	six	six	NUM
ap-7699	743	3	-	-	PUNCT
ap-7699	743	4	derivative	derivative	ADJ
ap-7699	743	5	model	model	NOUN
ap-7699	743	6	or	or	CCONJ
ap-7699	743	7	when	when	SCONJ
ap-7699	743	8	we	we	PRON
ap-7699	743	9	have	have	VERB
ap-7699	743	10	even	even	ADV
ap-7699	743	11	more	more	ADJ
ap-7699	743	12	derivatives	derivative	NOUN
ap-7699	743	13	,	,	PUNCT
ap-7699	743	14	superficially	superficially	ADV
ap-7699	743	15	these	these	DET
ap-7699	743	16	two	two	NUM
ap-7699	743	17	couplings	coupling	NOUN
ap-7699	743	18	and	and	CCONJ
ap-7699	743	19	their	their	PRON
ap-7699	743	20	roles	role	NOUN
ap-7699	743	21	for	for	ADP
ap-7699	743	22	the	the	DET
ap-7699	743	23	computation	computation	NOUN
ap-7699	743	24	of	of	ADP
ap-7699	743	25	uv	uv	NOUN
ap-7699	743	26	divergences	divergence	NOUN
ap-7699	743	27	may	may	AUX
ap-7699	743	28	look	look	VERB
ap-7699	743	29	symmetric	symmetric	ADJ
ap-7699	743	30	.	.	PUNCT
ap-7699	744	1	this	this	PRON
ap-7699	744	2	is	be	AUX
ap-7699	744	3	however	however	ADV
ap-7699	744	4	not	not	PART
ap-7699	744	5	true	true	ADJ
ap-7699	744	6	due	due	ADP
ap-7699	744	7	to	to	ADP
ap-7699	744	8	the	the	DET
ap-7699	744	9	different	different	ADJ
ap-7699	744	10	impact	impact	NOUN
ap-7699	744	11	of	of	ADP
ap-7699	744	12	these	these	DET
ap-7699	744	13	two	two	NUM
ap-7699	744	14	conditions	condition	NOUN
ap-7699	744	15	on	on	ADP
ap-7699	744	16	the	the	DET
ap-7699	744	17	form	form	NOUN
ap-7699	744	18	of	of	ADP
ap-7699	744	19	the	the	DET
ap-7699	744	20	kinetic	kinetic	ADJ
ap-7699	744	21	operator	operator	NOUN
ap-7699	744	22	ĥ.	ĥ.	NOUN
ap-7699	744	23	in	in	ADP
ap-7699	744	24	the	the	DET
ap-7699	744	25	case	case	NOUN
ap-7699	744	26	when	when	SCONJ
ap-7699	744	27	ωr	ωr	ADV
ap-7699	744	28	=	=	SYM
ap-7699	744	29	0	0	PROPN
ap-7699	744	30	,	,	PUNCT
ap-7699	744	31	the	the	DET
ap-7699	744	32	hessian	hessian	ADJ
ap-7699	744	33	operator	operator	NOUN
ap-7699	744	34	still	still	ADV
ap-7699	744	35	exists	exist	VERB
ap-7699	744	36	,	,	PUNCT
ap-7699	744	37	while	while	SCONJ
ap-7699	744	38	for	for	ADP
ap-7699	744	39	ωc	ωc	PROPN
ap-7699	744	40	=	=	SYM
ap-7699	744	41	0	0	NUM
ap-7699	744	42	we	we	PRON
ap-7699	744	43	lose	lose	VERB
ap-7699	744	44	its	its	PRON
ap-7699	744	45	form	form	NOUN
ap-7699	744	46	.	.	PUNCT
ap-7699	745	1	this	this	DET
ap-7699	745	2	observation	observation	NOUN
ap-7699	745	3	has	have	VERB
ap-7699	745	4	profound	profound	ADJ
ap-7699	745	5	implications	implication	NOUN
ap-7699	745	6	as	as	SCONJ
ap-7699	745	7	we	we	PRON
ap-7699	745	8	explain	explain	VERB
ap-7699	745	9	below	below	ADV
ap-7699	745	10	.	.	PUNCT
ap-7699	746	1	first	first	ADV
ap-7699	746	2	,	,	PUNCT
ap-7699	746	3	it	it	PRON
ap-7699	746	4	is	be	AUX
ap-7699	746	5	a	a	DET
ap-7699	746	6	fact	fact	NOUN
ap-7699	746	7	that	that	SCONJ
ap-7699	746	8	both	both	DET
ap-7699	746	9	these	these	DET
ap-7699	746	10	conditions	condition	NOUN
ap-7699	746	11	lead	lead	VERB
ap-7699	746	12	to	to	ADP
ap-7699	746	13	badly	badly	ADV
ap-7699	746	14	non	non	ADJ
ap-7699	746	15	-	-	ADJ
ap-7699	746	16	renormalizable	renormalizable	ADJ
ap-7699	746	17	theories	theory	NOUN
ap-7699	746	18	,	,	PUNCT
ap-7699	746	19	in	in	ADP
ap-7699	746	20	which	which	PRON
ap-7699	746	21	the	the	DET
ap-7699	746	22	flat	flat	ADJ
ap-7699	746	23	spacetime	spacetime	NOUN
ap-7699	746	24	propagator	propagator	NOUN
ap-7699	746	25	can	can	AUX
ap-7699	746	26	not	not	PART
ap-7699	746	27	be	be	AUX
ap-7699	746	28	simply	simply	ADV
ap-7699	746	29	defined	define	VERB
ap-7699	746	30	.	.	PUNCT
ap-7699	747	1	moreover	moreover	ADV
ap-7699	747	2	,	,	PUNCT
ap-7699	747	3	if	if	SCONJ
ap-7699	747	4	n	n	PROPN
ap-7699	747	5	>	>	X
ap-7699	747	6	0	0	PUNCT
ap-7699	748	1	in	in	ADP
ap-7699	748	2	none	none	NOUN
ap-7699	748	3	of	of	ADP
ap-7699	748	4	these	these	DET
ap-7699	748	5	two	two	NUM
ap-7699	748	6	reduced	reduce	VERB
ap-7699	748	7	models	model	NOUN
ap-7699	748	8	we	we	PRON
ap-7699	748	9	have	have	VERB
ap-7699	748	10	an	an	DET
ap-7699	748	11	enhancement	enhancement	NOUN
ap-7699	748	12	of	of	ADP
ap-7699	748	13	symmetries	symmetry	NOUN
ap-7699	748	14	and	and	CCONJ
ap-7699	748	15	none	none	NOUN
ap-7699	748	16	of	of	ADP
ap-7699	748	17	them	they	PRON
ap-7699	748	18	has	have	VERB
ap-7699	748	19	anything	anything	PRON
ap-7699	748	20	to	to	PART
ap-7699	748	21	do	do	VERB
ap-7699	748	22	with	with	ADP
ap-7699	748	23	conformal	conformal	ADJ
ap-7699	748	24	gravity	gravity	NOUN
ap-7699	748	25	models	model	NOUN
ap-7699	748	26	,	,	PUNCT
ap-7699	748	27	which	which	PRON
ap-7699	748	28	are	be	AUX
ap-7699	748	29	present	present	ADJ
ap-7699	748	30	only	only	ADV
ap-7699	748	31	for	for	ADP
ap-7699	748	32	n	n	NOUN
ap-7699	748	33	=	=	SYM
ap-7699	748	34	0	0	NUM
ap-7699	748	35	and	and	CCONJ
ap-7699	748	36	ωr	ωr	ADJ
ap-7699	748	37	=	=	SYM
ap-7699	748	38	0	0	NUM
ap-7699	748	39	case	case	NOUN
ap-7699	748	40	,	,	PUNCT
ap-7699	748	41	despite	despite	SCONJ
ap-7699	748	42	that	that	PRON
ap-7699	748	43	in	in	ADP
ap-7699	748	44	constructions	construction	NOUN
ap-7699	748	45	of	of	ADP
ap-7699	748	46	these	these	DET
ap-7699	748	47	six	six	NUM
ap-7699	748	48	-	-	PUNCT
ap-7699	748	49	derivative	derivative	ADJ
ap-7699	748	50	models	model	NOUN
ap-7699	748	51	we	we	PRON
ap-7699	748	52	might	might	AUX
ap-7699	748	53	use	use	VERB
ap-7699	748	54	only	only	ADJ
ap-7699	748	55	terms	term	NOUN
ap-7699	748	56	with	with	ADP
ap-7699	748	57	weyl	weyl	PROPN
ap-7699	748	58	tensor	tensor	NOUN
ap-7699	748	59	.	.	PUNCT
ap-7699	749	1	(	(	PUNCT
ap-7699	749	2	however	however	ADV
ap-7699	749	3	,	,	PUNCT
ap-7699	749	4	here	here	ADV
ap-7699	749	5	we	we	PRON
ap-7699	749	6	use	use	VERB
ap-7699	749	7	the	the	DET
ap-7699	749	8	term	term	NOUN
ap-7699	749	9	c	c	NOUN
ap-7699	749	10	□	□	SYM
ap-7699	749	11	c	c	X
ap-7699	749	12	,	,	PUNCT
ap-7699	749	13	where	where	SCONJ
ap-7699	749	14	it	it	PRON
ap-7699	749	15	is	be	AUX
ap-7699	749	16	known	know	VERB
ap-7699	749	17	that	that	SCONJ
ap-7699	749	18	the	the	DET
ap-7699	749	19	gr	gr	PROPN
ap-7699	749	20	-	-	PUNCT
ap-7699	749	21	covariant	covariant	NOUN
ap-7699	749	22	box	box	NOUN
ap-7699	749	23	operator	operator	NOUN
ap-7699	749	24	□	□	PUNCT
ap-7699	749	25	is	be	AUX
ap-7699	749	26	not	not	PART
ap-7699	749	27	conformal	conformal	ADJ
ap-7699	749	28	.	.	PUNCT
ap-7699	749	29	)	)	PUNCT
ap-7699	750	1	138	138	NUM
ap-7699	750	2	vol	vol	NOUN
ap-7699	750	3	.	.	PUNCT
ap-7699	751	1	62	62	NUM
ap-7699	751	2	no	no	INTJ
ap-7699	751	3	.	.	PUNCT
ap-7699	752	1	1/2022	1/2022	NUM
ap-7699	752	2	beta	beta	NOUN
ap-7699	752	3	functions	function	NOUN
ap-7699	752	4	in	in	ADP
ap-7699	752	5	six	six	NUM
ap-7699	752	6	-	-	PUNCT
ap-7699	752	7	derivative	derivative	ADJ
ap-7699	752	8	quantum	quantum	NOUN
ap-7699	752	9	gravity	gravity	NOUN
ap-7699	752	10	our	our	PRON
ap-7699	752	11	explanation	explanation	NOUN
ap-7699	752	12	of	of	ADP
ap-7699	752	13	the	the	DET
ap-7699	752	14	x	x	NOUN
ap-7699	752	15	-	-	NOUN
ap-7699	752	16	dependence	dependence	NOUN
ap-7699	752	17	is	be	AUX
ap-7699	752	18	as	as	SCONJ
ap-7699	752	19	follows	follow	VERB
ap-7699	752	20	.	.	PUNCT
ap-7699	753	1	first	first	ADV
ap-7699	753	2	,	,	PUNCT
ap-7699	753	3	in	in	ADP
ap-7699	753	4	the	the	DET
ap-7699	753	5	generic	generic	ADJ
ap-7699	753	6	model	model	NOUN
ap-7699	753	7	with	with	ADP
ap-7699	753	8	n	n	PROPN
ap-7699	753	9	>	>	X
ap-7699	753	10	0	0	NUM
ap-7699	753	11	,	,	PUNCT
ap-7699	753	12	since	since	SCONJ
ap-7699	753	13	it	it	PRON
ap-7699	753	14	happens	happen	VERB
ap-7699	753	15	that	that	SCONJ
ap-7699	753	16	it	it	PRON
ap-7699	753	17	is	be	AUX
ap-7699	753	18	the	the	DET
ap-7699	753	19	n	n	ADV
ap-7699	753	20	=	=	SYM
ap-7699	753	21	0	0	NUM
ap-7699	753	22	scale	scale	NOUN
ap-7699	753	23	-	-	PUNCT
ap-7699	753	24	invariant	invariant	ADJ
ap-7699	753	25	gravitational	gravitational	ADJ
ap-7699	753	26	model	model	NOUN
ap-7699	753	27	which	which	PRON
ap-7699	753	28	is	be	AUX
ap-7699	753	29	here	here	ADV
ap-7699	753	30	the	the	DET
ap-7699	753	31	exceptional	exceptional	ADJ
ap-7699	753	32	one	one	NUM
ap-7699	753	33	.	.	PUNCT
ap-7699	754	1	for	for	ADP
ap-7699	754	2	sixderivative	sixderivative	ADJ
ap-7699	754	3	theory	theory	NOUN
ap-7699	754	4	(	(	PUNCT
ap-7699	754	5	or	or	CCONJ
ap-7699	754	6	any	any	DET
ap-7699	754	7	one	one	NOUN
ap-7699	754	8	with	with	ADP
ap-7699	754	9	n	n	NOUN
ap-7699	754	10	>	>	X
ap-7699	754	11	0	0	NUM
ap-7699	754	12	)	)	PUNCT
ap-7699	754	13	the	the	DET
ap-7699	754	14	two	two	NUM
ap-7699	754	15	reduced	reduce	VERB
ap-7699	754	16	models	model	NOUN
ap-7699	754	17	with	with	ADP
ap-7699	754	18	conditions	condition	NOUN
ap-7699	754	19	that	that	PRON
ap-7699	754	20	ωc	ωc	ADP
ap-7699	754	21	=	=	SYM
ap-7699	754	22	0	0	NUM
ap-7699	754	23	or	or	CCONJ
ap-7699	754	24	ωr	ωr	VERB
ap-7699	754	25	=	=	SYM
ap-7699	754	26	0	0	NUM
ap-7699	754	27	respectively	respectively	ADV
ap-7699	754	28	are	be	AUX
ap-7699	754	29	not	not	PART
ap-7699	754	30	renormalizable	renormalizable	ADJ
ap-7699	754	31	and	and	CCONJ
ap-7699	754	32	likely	likely	ADJ
ap-7699	754	33	even	even	ADV
ap-7699	754	34	at	at	ADP
ap-7699	754	35	the	the	DET
ap-7699	754	36	one	one	NUM
ap-7699	754	37	-	-	PUNCT
ap-7699	754	38	loop	loop	NOUN
ap-7699	754	39	level	level	NOUN
ap-7699	754	40	higher	high	ADJ
ap-7699	754	41	types	type	NOUN
ap-7699	754	42	of	of	ADP
ap-7699	754	43	divergences	divergence	NOUN
ap-7699	754	44	(	(	PUNCT
ap-7699	754	45	besides	besides	SCONJ
ap-7699	754	46	c2	c2	PROPN
ap-7699	754	47	and	and	CCONJ
ap-7699	754	48	r2	r2	PROPN
ap-7699	754	49	from	from	ADP
ap-7699	754	50	(	(	PUNCT
ap-7699	754	51	1	1	NUM
ap-7699	754	52	)	)	PUNCT
ap-7699	754	53	)	)	PUNCT
ap-7699	754	54	will	will	AUX
ap-7699	754	55	be	be	AUX
ap-7699	754	56	generated	generate	VERB
ap-7699	754	57	.	.	PUNCT
ap-7699	755	1	from	from	ADP
ap-7699	755	2	this	this	PRON
ap-7699	755	3	we	we	PRON
ap-7699	755	4	expect	expect	VERB
ap-7699	755	5	that	that	SCONJ
ap-7699	755	6	there	there	PRON
ap-7699	755	7	must	must	AUX
ap-7699	755	8	be	be	AUX
ap-7699	755	9	some	some	DET
ap-7699	755	10	problems	problem	NOUN
ap-7699	755	11	with	with	ADP
ap-7699	755	12	uv	uv	NOUN
ap-7699	755	13	divergences	divergence	NOUN
ap-7699	755	14	obtained	obtain	VERB
ap-7699	755	15	from	from	ADP
ap-7699	755	16	naive	naive	ADJ
ap-7699	755	17	power	power	NOUN
ap-7699	755	18	counting	counting	NOUN
ap-7699	755	19	arguments	argument	NOUN
ap-7699	755	20	here	here	ADV
ap-7699	755	21	.	.	PUNCT
ap-7699	756	1	the	the	DET
ap-7699	756	2	problems	problem	NOUN
ap-7699	756	3	must	must	AUX
ap-7699	756	4	show	show	VERB
ap-7699	756	5	up	up	ADP
ap-7699	756	6	somehow	somehow	ADV
ap-7699	756	7	in	in	ADP
ap-7699	756	8	the	the	DET
ap-7699	756	9	final	final	ADJ
ap-7699	756	10	numerical	numerical	ADJ
ap-7699	756	11	values	value	NOUN
ap-7699	756	12	for	for	ADP
ap-7699	756	13	divergent	divergent	ADJ
ap-7699	756	14	terms	term	NOUN
ap-7699	756	15	or	or	CCONJ
ap-7699	756	16	in	in	ADP
ap-7699	756	17	the	the	DET
ap-7699	756	18	intermediate	intermediate	ADJ
ap-7699	756	19	steps	step	NOUN
ap-7699	756	20	of	of	ADP
ap-7699	756	21	the	the	DET
ap-7699	756	22	process	process	NOUN
ap-7699	756	23	of	of	ADP
ap-7699	756	24	computing	compute	VERB
ap-7699	756	25	these	these	DET
ap-7699	756	26	divergences	divergence	NOUN
ap-7699	756	27	.	.	PUNCT
ap-7699	757	1	these	these	DET
ap-7699	757	2	problems	problem	NOUN
ap-7699	757	3	then	then	ADV
ap-7699	757	4	signal	signal	VERB
ap-7699	757	5	that	that	SCONJ
ap-7699	757	6	we	we	PRON
ap-7699	757	7	are	be	AUX
ap-7699	757	8	working	work	VERB
ap-7699	757	9	with	with	ADP
ap-7699	757	10	non	non	ADJ
ap-7699	757	11	-	-	ADJ
ap-7699	757	12	renormalizable	renormalizable	ADJ
ap-7699	757	13	theory	theory	NOUN
ap-7699	757	14	,	,	PUNCT
ap-7699	757	15	which	which	PRON
ap-7699	757	16	do	do	AUX
ap-7699	757	17	not	not	PART
ap-7699	757	18	have	have	VERB
ap-7699	757	19	a	a	DET
ap-7699	757	20	good	good	ADJ
ap-7699	757	21	control	control	NOUN
ap-7699	757	22	over	over	ADP
ap-7699	757	23	perturbative	perturbative	ADJ
ap-7699	757	24	divergences	divergence	NOUN
ap-7699	757	25	showing	show	VERB
ap-7699	757	26	up	up	ADP
ap-7699	757	27	at	at	ADP
ap-7699	757	28	the	the	DET
ap-7699	757	29	one	one	NUM
ap-7699	757	30	-	-	PUNCT
ap-7699	757	31	loop	loop	NOUN
ap-7699	757	32	level	level	NOUN
ap-7699	757	33	.	.	PUNCT
ap-7699	758	1	first	first	ADV
ap-7699	758	2	,	,	PUNCT
ap-7699	758	3	in	in	ADP
ap-7699	758	4	the	the	DET
ap-7699	758	5	case	case	NOUN
ap-7699	758	6	ωc	ωc	ADP
ap-7699	758	7	=	=	SYM
ap-7699	758	8	0	0	PROPN
ap-7699	758	9	,	,	PUNCT
ap-7699	758	10	we	we	PRON
ap-7699	758	11	see	see	VERB
ap-7699	758	12	that	that	SCONJ
ap-7699	758	13	the	the	DET
ap-7699	758	14	problems	problem	NOUN
ap-7699	758	15	are	be	AUX
ap-7699	758	16	already	already	ADV
ap-7699	758	17	there	there	ADV
ap-7699	758	18	with	with	ADP
ap-7699	758	19	the	the	DET
ap-7699	758	20	definition	definition	NOUN
ap-7699	758	21	of	of	ADP
ap-7699	758	22	the	the	DET
ap-7699	758	23	kinetic	kinetic	ADJ
ap-7699	758	24	operator	operator	NOUN
ap-7699	758	25	(	(	PUNCT
ap-7699	758	26	hessian	hessian	NOUN
ap-7699	758	27	)	)	PUNCT
ap-7699	758	28	between	between	ADP
ap-7699	758	29	quantum	quantum	NOUN
ap-7699	758	30	metric	metric	ADJ
ap-7699	758	31	fluctuation	fluctuation	NOUN
ap-7699	758	32	fields	field	NOUN
ap-7699	758	33	.	.	PUNCT
ap-7699	759	1	this	this	PRON
ap-7699	759	2	implies	imply	VERB
ap-7699	759	3	that	that	SCONJ
ap-7699	759	4	further	far	ADV
ap-7699	759	5	processing	processing	NOUN
ap-7699	759	6	with	with	ADP
ap-7699	759	7	this	this	DET
ap-7699	759	8	operator	operator	NOUN
ap-7699	759	9	is	be	AUX
ap-7699	759	10	ill	ill	ADV
ap-7699	759	11	-	-	PUNCT
ap-7699	759	12	defined	define	VERB
ap-7699	759	13	,	,	PUNCT
ap-7699	759	14	we	we	PRON
ap-7699	759	15	can	can	AUX
ap-7699	759	16	not	not	PART
ap-7699	759	17	trust	trust	VERB
ap-7699	759	18	it	it	PRON
ap-7699	759	19	and	and	CCONJ
ap-7699	759	20	even	even	ADV
ap-7699	759	21	if	if	SCONJ
ap-7699	759	22	it	it	PRON
ap-7699	759	23	would	would	AUX
ap-7699	759	24	give	give	VERB
ap-7699	759	25	us	we	PRON
ap-7699	759	26	some	some	DET
ap-7699	759	27	final	final	ADJ
ap-7699	759	28	results	result	NOUN
ap-7699	759	29	for	for	ADP
ap-7699	759	30	divergences	divergence	NOUN
ap-7699	759	31	,	,	PUNCT
ap-7699	759	32	then	then	ADV
ap-7699	759	33	they	they	PRON
ap-7699	759	34	are	be	AUX
ap-7699	759	35	not	not	PART
ap-7699	759	36	reliable	reliable	ADJ
ap-7699	759	37	at	at	ADV
ap-7699	759	38	all	all	ADV
ap-7699	759	39	since	since	SCONJ
ap-7699	759	40	the	the	DET
ap-7699	759	41	theory	theory	NOUN
ap-7699	759	42	is	be	AUX
ap-7699	759	43	non	non	ADJ
ap-7699	759	44	-	-	ADJ
ap-7699	759	45	renormalizable	renormalizable	ADJ
ap-7699	759	46	.	.	PUNCT
ap-7699	760	1	but	but	CCONJ
ap-7699	760	2	we	we	PRON
ap-7699	760	3	already	already	ADV
ap-7699	760	4	found	find	VERB
ap-7699	760	5	here	here	ADV
ap-7699	760	6	the	the	DET
ap-7699	760	7	instance	instance	NOUN
ap-7699	760	8	of	of	ADP
ap-7699	760	9	the	the	DET
ap-7699	760	10	problem	problem	NOUN
ap-7699	760	11	,	,	PUNCT
ap-7699	760	12	which	which	PRON
ap-7699	760	13	makes	make	VERB
ap-7699	760	14	our	our	PRON
ap-7699	760	15	final	final	ADJ
ap-7699	760	16	limiting	limiting	NOUN
ap-7699	760	17	results	result	NOUN
ap-7699	760	18	(	(	PUNCT
ap-7699	760	19	in	in	ADP
ap-7699	760	20	the	the	DET
ap-7699	760	21	ωc	ωc	PROPN
ap-7699	760	22	→	→	SYM
ap-7699	760	23	0	0	NUM
ap-7699	760	24	limit	limit	NOUN
ap-7699	760	25	)	)	PUNCT
ap-7699	760	26	not	not	PART
ap-7699	760	27	trustable	trustable	ADJ
ap-7699	760	28	.	.	PUNCT
ap-7699	761	1	this	this	PRON
ap-7699	761	2	means	mean	VERB
ap-7699	761	3	that	that	SCONJ
ap-7699	761	4	from	from	ADP
ap-7699	761	5	the	the	DET
ap-7699	761	6	expression	expression	NOUN
ap-7699	761	7	in	in	ADP
ap-7699	761	8	(	(	PUNCT
ap-7699	761	9	51	51	NUM
ap-7699	761	10	)	)	PUNCT
ap-7699	761	11	,	,	PUNCT
ap-7699	761	12	we	we	PRON
ap-7699	761	13	do	do	AUX
ap-7699	761	14	not	not	PART
ap-7699	761	15	expect	expect	VERB
ap-7699	761	16	any	any	DET
ap-7699	761	17	additional	additional	ADJ
ap-7699	761	18	obstacles	obstacle	NOUN
ap-7699	761	19	,	,	PUNCT
ap-7699	761	20	like	like	ADP
ap-7699	761	21	1	1	NUM
ap-7699	761	22	ωc	ωc	ADP
ap-7699	761	23	poles	pole	NOUN
ap-7699	761	24	since	since	SCONJ
ap-7699	761	25	the	the	DET
ap-7699	761	26	price	price	NOUN
ap-7699	761	27	for	for	ADP
ap-7699	761	28	non	non	ADJ
ap-7699	761	29	-	-	NOUN
ap-7699	761	30	renormalizability	renormalizability	NOUN
ap-7699	761	31	was	be	AUX
ap-7699	761	32	already	already	ADV
ap-7699	761	33	paid	pay	VERB
ap-7699	761	34	and	and	CCONJ
ap-7699	761	35	we	we	PRON
ap-7699	761	36	have	have	AUX
ap-7699	761	37	already	already	ADV
ap-7699	761	38	met	meet	VERB
ap-7699	761	39	dangerous	dangerous	ADJ
ap-7699	761	40	problems	problem	NOUN
ap-7699	761	41	,	,	PUNCT
ap-7699	761	42	which	which	PRON
ap-7699	761	43	signal	signal	VERB
ap-7699	761	44	the	the	DET
ap-7699	761	45	incorrectness	incorrectness	NOUN
ap-7699	761	46	of	of	ADP
ap-7699	761	47	the	the	DET
ap-7699	761	48	naive	naive	ADJ
ap-7699	761	49	limit	limit	NOUN
ap-7699	761	50	ωc	ωc	INTJ
ap-7699	761	51	→	→	SYM
ap-7699	761	52	0	0	NUM
ap-7699	761	53	.	.	PUNCT
ap-7699	762	1	this	this	PRON
ap-7699	762	2	should	should	AUX
ap-7699	762	3	already	already	ADV
ap-7699	762	4	take	take	VERB
ap-7699	762	5	away	away	ADV
ap-7699	762	6	our	our	PRON
ap-7699	762	7	trust	trust	NOUN
ap-7699	762	8	in	in	ADP
ap-7699	762	9	the	the	DET
ap-7699	762	10	limit	limit	NOUN
ap-7699	762	11	ωc	ωc	INTJ
ap-7699	762	12	→	→	SYM
ap-7699	762	13	0	0	NUM
ap-7699	762	14	of	of	ADP
ap-7699	762	15	expressions	expression	NOUN
ap-7699	762	16	for	for	ADP
ap-7699	762	17	uv	uv	NOUN
ap-7699	762	18	divergences	divergence	NOUN
ap-7699	762	19	in	in	ADP
ap-7699	762	20	(	(	PUNCT
ap-7699	762	21	33	33	NUM
ap-7699	762	22	)	)	PUNCT
ap-7699	762	23	.	.	PUNCT
ap-7699	763	1	then	then	ADV
ap-7699	763	2	this	this	DET
ap-7699	763	3	line	line	NOUN
ap-7699	763	4	of	of	ADP
ap-7699	763	5	thought	thought	NOUN
ap-7699	763	6	in	in	ADP
ap-7699	763	7	the	the	DET
ap-7699	763	8	case	case	NOUN
ap-7699	763	9	ωc	ωc	ADP
ap-7699	763	10	=	=	SYM
ap-7699	763	11	0	0	PROPN
ap-7699	763	12	does	do	AUX
ap-7699	763	13	not	not	PART
ap-7699	763	14	put	put	VERB
ap-7699	763	15	any	any	DET
ap-7699	763	16	constraints	constraint	NOUN
ap-7699	763	17	at	at	ADV
ap-7699	763	18	all	all	ADV
ap-7699	763	19	on	on	ADP
ap-7699	763	20	the	the	DET
ap-7699	763	21	final	final	ADJ
ap-7699	763	22	form	form	NOUN
ap-7699	763	23	of	of	ADP
ap-7699	763	24	the	the	DET
ap-7699	763	25	x	x	NOUN
ap-7699	763	26	-	-	NOUN
ap-7699	763	27	dependence	dependence	NOUN
ap-7699	763	28	in	in	ADP
ap-7699	763	29	(	(	PUNCT
ap-7699	763	30	51	51	NUM
ap-7699	763	31	)	)	PUNCT
ap-7699	763	32	since	since	SCONJ
ap-7699	763	33	these	these	DET
ap-7699	763	34	results	result	NOUN
ap-7699	763	35	like	like	ADP
ap-7699	763	36	in	in	ADP
ap-7699	763	37	(	(	PUNCT
ap-7699	763	38	51	51	NUM
ap-7699	763	39	)	)	PUNCT
ap-7699	763	40	in	in	ADP
ap-7699	763	41	the	the	DET
ap-7699	763	42	limit	limit	NOUN
ap-7699	763	43	ωc	ωc	INTJ
ap-7699	763	44	→	→	SYM
ap-7699	763	45	0	0	NUM
ap-7699	763	46	will	will	AUX
ap-7699	763	47	anyway	anyway	ADV
ap-7699	763	48	be	be	AUX
ap-7699	763	49	likely	likely	ADV
ap-7699	763	50	incorrect	incorrect	ADJ
ap-7699	763	51	.	.	PUNCT
ap-7699	764	1	now	now	ADV
ap-7699	764	2	,	,	PUNCT
ap-7699	764	3	in	in	ADP
ap-7699	764	4	the	the	DET
ap-7699	764	5	other	other	ADJ
ap-7699	764	6	case	case	NOUN
ap-7699	764	7	with	with	ADP
ap-7699	764	8	n	n	PROPN
ap-7699	764	9	>	>	SYM
ap-7699	764	10	0	0	PUNCT
ap-7699	764	11	and	and	CCONJ
ap-7699	764	12	ωr	ωr	VERB
ap-7699	764	13	=	=	SYM
ap-7699	764	14	0	0	NUM
ap-7699	764	15	,	,	PUNCT
ap-7699	764	16	we	we	PRON
ap-7699	764	17	do	do	AUX
ap-7699	764	18	not	not	PART
ap-7699	764	19	have	have	VERB
ap-7699	764	20	the	the	DET
ap-7699	764	21	problem	problem	NOUN
ap-7699	764	22	with	with	ADP
ap-7699	764	23	the	the	DET
ap-7699	764	24	definition	definition	NOUN
ap-7699	764	25	of	of	ADP
ap-7699	764	26	the	the	DET
ap-7699	764	27	hessian	hessian	ADJ
ap-7699	764	28	ĥ.	ĥ.	NOUN
ap-7699	764	29	formally	formally	ADV
ap-7699	764	30	,	,	PUNCT
ap-7699	764	31	we	we	PRON
ap-7699	764	32	can	can	AUX
ap-7699	764	33	process	process	VERB
ap-7699	764	34	it	it	PRON
ap-7699	764	35	till	till	SCONJ
ap-7699	764	36	the	the	DET
ap-7699	764	37	end	end	NOUN
ap-7699	764	38	of	of	ADP
ap-7699	764	39	taking	take	VERB
ap-7699	764	40	the	the	DET
ap-7699	764	41	functional	functional	ADJ
ap-7699	764	42	trace	trace	NOUN
ap-7699	764	43	of	of	ADP
ap-7699	764	44	the	the	DET
ap-7699	764	45	logarithm	logarithm	NOUN
ap-7699	764	46	and	and	CCONJ
ap-7699	764	47	adding	add	VERB
ap-7699	764	48	contributions	contribution	NOUN
ap-7699	764	49	from	from	ADP
ap-7699	764	50	tr	tr	PRON
ap-7699	764	51	ln	ln	ADJ
ap-7699	764	52	m̂	m̂	NOUN
ap-7699	764	53	and	and	CCONJ
ap-7699	764	54	tr	tr	PUNCT
ap-7699	764	55	ln	ln	ADJ
ap-7699	764	56	ĉ.	ĉ.	NOUN
ap-7699	764	57	but	but	CCONJ
ap-7699	764	58	somehow	somehow	ADV
ap-7699	764	59	,	,	PUNCT
ap-7699	764	60	we	we	PRON
ap-7699	764	61	must	must	AUX
ap-7699	764	62	find	find	VERB
ap-7699	764	63	the	the	DET
ap-7699	764	64	occurrence	occurrence	NOUN
ap-7699	764	65	of	of	ADP
ap-7699	764	66	the	the	DET
ap-7699	764	67	problem	problem	NOUN
ap-7699	764	68	,	,	PUNCT
ap-7699	764	69	because	because	SCONJ
ap-7699	764	70	the	the	DET
ap-7699	764	71	theory	theory	NOUN
ap-7699	764	72	is	be	AUX
ap-7699	764	73	non	non	ADJ
ap-7699	764	74	-	-	ADJ
ap-7699	764	75	renormalizable	renormalizable	ADJ
ap-7699	764	76	!	!	PUNCT
ap-7699	765	1	so	so	ADV
ap-7699	765	2	the	the	DET
ap-7699	765	3	only	only	ADJ
ap-7699	765	4	place	place	NOUN
ap-7699	765	5	in	in	ADP
ap-7699	765	6	which	which	PRON
ap-7699	765	7	the	the	DET
ap-7699	765	8	problem	problem	NOUN
ap-7699	765	9	may	may	AUX
ap-7699	765	10	sit	sit	VERB
ap-7699	765	11	is	be	AUX
ap-7699	765	12	in	in	ADP
ap-7699	765	13	the	the	DET
ap-7699	765	14	final	final	ADJ
ap-7699	765	15	x	x	NOUN
ap-7699	765	16	-	-	NOUN
ap-7699	765	17	dependence	dependence	NOUN
ap-7699	765	18	of	of	ADP
ap-7699	765	19	the	the	DET
ap-7699	765	20	results	result	NOUN
ap-7699	765	21	for	for	ADP
ap-7699	765	22	uv	uv	NOUN
ap-7699	765	23	divergences	divergence	NOUN
ap-7699	765	24	.	.	PUNCT
ap-7699	766	1	these	these	DET
ap-7699	766	2	results	result	NOUN
ap-7699	766	3	should	should	AUX
ap-7699	766	4	be	be	AUX
ap-7699	766	5	ill	ill	ADV
ap-7699	766	6	-	-	PUNCT
ap-7699	766	7	defined	define	VERB
ap-7699	766	8	,	,	PUNCT
ap-7699	766	9	when	when	SCONJ
ap-7699	766	10	the	the	DET
ap-7699	766	11	limit	limit	NOUN
ap-7699	766	12	ωr	ωr	X
ap-7699	766	13	→	→	SYM
ap-7699	766	14	0	0	NUM
ap-7699	766	15	is	be	AUX
ap-7699	766	16	attempted	attempt	VERB
ap-7699	766	17	.	.	PUNCT
ap-7699	767	1	and	and	CCONJ
ap-7699	767	2	this	this	PRON
ap-7699	767	3	implies	imply	VERB
ap-7699	767	4	that	that	SCONJ
ap-7699	767	5	they	they	PRON
ap-7699	767	6	must	must	AUX
ap-7699	767	7	be	be	AUX
ap-7699	767	8	with	with	ADP
ap-7699	767	9	poles	pole	NOUN
ap-7699	767	10	in	in	ADP
ap-7699	767	11	the	the	DET
ap-7699	767	12	ωr	ωr	ADJ
ap-7699	767	13	coefficient	coefficient	NOUN
ap-7699	767	14	,	,	PUNCT
ap-7699	767	15	so	so	SCONJ
ap-7699	767	16	they	they	PRON
ap-7699	767	17	must	must	AUX
ap-7699	767	18	be	be	AUX
ap-7699	767	19	instead	instead	ADV
ap-7699	767	20	with	with	ADP
ap-7699	767	21	positive	positive	ADJ
ap-7699	767	22	powers	power	NOUN
ap-7699	767	23	of	of	ADP
ap-7699	767	24	the	the	DET
ap-7699	767	25	x	x	NOUN
ap-7699	767	26	ratio	ratio	NOUN
ap-7699	767	27	of	of	ADP
ap-7699	767	28	the	the	DET
ap-7699	767	29	theory	theory	NOUN
ap-7699	767	30	.	.	PUNCT
ap-7699	768	1	hence	hence	ADV
ap-7699	768	2	,	,	PUNCT
ap-7699	768	3	we	we	PRON
ap-7699	768	4	conclude	conclude	VERB
ap-7699	768	5	that	that	SCONJ
ap-7699	768	6	the	the	DET
ap-7699	768	7	x	x	X
ap-7699	768	8	-	-	NOUN
ap-7699	768	9	dependence	dependence	NOUN
ap-7699	768	10	must	must	AUX
ap-7699	768	11	be	be	AUX
ap-7699	768	12	linear	linear	ADJ
ap-7699	768	13	or	or	CCONJ
ap-7699	768	14	quadratic	quadratic	ADJ
ap-7699	768	15	,	,	PUNCT
ap-7699	768	16	but	but	CCONJ
ap-7699	768	17	always	always	ADV
ap-7699	768	18	with	with	ADP
ap-7699	768	19	positive	positive	ADJ
ap-7699	768	20	powers	power	NOUN
ap-7699	768	21	of	of	ADP
ap-7699	768	22	the	the	DET
ap-7699	768	23	ratio	ratio	NOUN
ap-7699	768	24	x.	x.	NOUN
ap-7699	769	1	this	this	PRON
ap-7699	769	2	is	be	AUX
ap-7699	769	3	now	now	ADV
ap-7699	769	4	confirmed	confirm	VERB
ap-7699	769	5	by	by	ADP
ap-7699	769	6	explicit	explicit	ADJ
ap-7699	769	7	form	form	NOUN
ap-7699	769	8	as	as	ADP
ap-7699	769	9	in	in	ADP
ap-7699	769	10	(	(	PUNCT
ap-7699	769	11	33	33	NUM
ap-7699	769	12	)	)	PUNCT
ap-7699	769	13	for	for	ADP
ap-7699	769	14	uv	uv	NOUN
ap-7699	769	15	divergences	divergence	NOUN
ap-7699	769	16	of	of	ADP
ap-7699	769	17	six	six	NUM
ap-7699	769	18	-	-	PUNCT
ap-7699	769	19	derivative	derivative	NOUN
ap-7699	769	20	theory	theory	NOUN
ap-7699	769	21	.	.	PUNCT
ap-7699	770	1	the	the	DET
ap-7699	770	2	problems	problem	NOUN
ap-7699	770	3	with	with	ADP
ap-7699	770	4	renormalizability	renormalizability	NOUN
ap-7699	770	5	of	of	ADP
ap-7699	770	6	the	the	DET
ap-7699	770	7	pure	pure	ADJ
ap-7699	770	8	theory	theory	NOUN
ap-7699	770	9	c	c	NOUN
ap-7699	770	10	□	□	PROPN
ap-7699	770	11	c	c	X
ap-7699	770	12	show	show	VERB
ap-7699	770	13	up	up	ADP
ap-7699	770	14	in	in	ADP
ap-7699	770	15	the	the	DET
ap-7699	770	16	last	last	ADJ
ap-7699	770	17	possible	possible	ADJ
ap-7699	770	18	moment	moment	NOUN
ap-7699	770	19	in	in	ADP
ap-7699	770	20	the	the	DET
ap-7699	770	21	procedure	procedure	NOUN
ap-7699	770	22	for	for	ADP
ap-7699	770	23	obtaining	obtain	VERB
ap-7699	770	24	the	the	DET
ap-7699	770	25	result	result	NOUN
ap-7699	770	26	,	,	PUNCT
ap-7699	770	27	namely	namely	ADV
ap-7699	770	28	when	when	SCONJ
ap-7699	770	29	one	one	PRON
ap-7699	770	30	wants	want	VERB
ap-7699	770	31	to	to	PART
ap-7699	770	32	take	take	VERB
ap-7699	770	33	the	the	DET
ap-7699	770	34	limit	limit	NOUN
ap-7699	770	35	ωr	ωr	ADP
ap-7699	770	36	→	→	SYM
ap-7699	770	37	0	0	NUM
ap-7699	770	38	or	or	CCONJ
ap-7699	770	39	equivalently	equivalently	ADV
ap-7699	770	40	x	x	PUNCT
ap-7699	770	41	→	→	SYM
ap-7699	770	42	∞.	∞.	PROPN
ap-7699	770	43	this	this	PRON
ap-7699	770	44	is	be	AUX
ap-7699	770	45	the	the	DET
ap-7699	770	46	generic	generic	ADJ
ap-7699	770	47	situation	situation	NOUN
ap-7699	770	48	for	for	ADP
ap-7699	770	49	any	any	DET
ap-7699	770	50	super	super	ADJ
ap-7699	770	51	-	-	ADJ
ap-7699	770	52	renormalizable	renormalizable	ADJ
ap-7699	770	53	theory	theory	NOUN
ap-7699	770	54	and	and	CCONJ
ap-7699	770	55	for	for	ADP
ap-7699	770	56	any	any	DET
ap-7699	770	57	n	n	NOUN
ap-7699	770	58	>	>	X
ap-7699	770	59	0	0	NUM
ap-7699	770	60	.	.	PUNCT
ap-7699	771	1	there	there	PRON
ap-7699	771	2	are	be	VERB
ap-7699	771	3	still	still	ADV
ap-7699	771	4	some	some	DET
ap-7699	771	5	mysterious	mysterious	ADJ
ap-7699	771	6	things	thing	NOUN
ap-7699	771	7	here	here	ADV
ap-7699	771	8	,	,	PUNCT
ap-7699	771	9	like	like	ADP
ap-7699	771	10	why	why	SCONJ
ap-7699	771	11	the	the	DET
ap-7699	771	12	dependence	dependence	NOUN
ap-7699	771	13	is	be	AUX
ap-7699	771	14	only	only	ADV
ap-7699	771	15	linear	linear	ADJ
ap-7699	771	16	in	in	ADP
ap-7699	771	17	x	x	PUNCT
ap-7699	771	18	and	and	CCONJ
ap-7699	771	19	why	why	SCONJ
ap-7699	771	20	only	only	ADV
ap-7699	771	21	for	for	ADP
ap-7699	771	22	the	the	DET
ap-7699	771	23	c2	c2	PROPN
ap-7699	771	24	type	type	NOUN
ap-7699	771	25	of	of	ADP
ap-7699	771	26	uv	uv	NOUN
ap-7699	771	27	counterterm	counterterm	NOUN
ap-7699	771	28	,	,	PUNCT
ap-7699	771	29	while	while	SCONJ
ap-7699	771	30	two	two	NUM
ap-7699	771	31	other	other	ADJ
ap-7699	771	32	counterterms	counterterm	NOUN
ap-7699	771	33	r2	r2	PROPN
ap-7699	771	34	and	and	CCONJ
ap-7699	771	35	gb	gb	PRON
ap-7699	771	36	are	be	AUX
ap-7699	771	37	numbers	number	NOUN
ap-7699	771	38	completely	completely	ADV
ap-7699	771	39	independent	independent	ADJ
ap-7699	771	40	of	of	ADP
ap-7699	771	41	x.	x.	PROPN
ap-7699	771	42	right	right	ADV
ap-7699	771	43	now	now	ADV
ap-7699	771	44	we	we	PRON
ap-7699	771	45	can	can	AUX
ap-7699	771	46	not	not	PART
ap-7699	771	47	provide	provide	VERB
ap-7699	771	48	satisfactory	satisfactory	ADJ
ap-7699	771	49	mathematical	mathematical	ADJ
ap-7699	771	50	explanations	explanation	NOUN
ap-7699	771	51	for	for	ADP
ap-7699	771	52	these	these	DET
ap-7699	771	53	facts	fact	NOUN
ap-7699	771	54	.	.	PUNCT
ap-7699	772	1	using	use	VERB
ap-7699	772	2	this	this	DET
ap-7699	772	3	argumentation	argumentation	NOUN
ap-7699	772	4	in	in	ADP
ap-7699	772	5	the	the	DET
ap-7699	772	6	theory	theory	NOUN
ap-7699	772	7	models	model	NOUN
ap-7699	772	8	with	with	ADP
ap-7699	772	9	n	n	NOUN
ap-7699	772	10	=	=	SYM
ap-7699	772	11	1	1	NUM
ap-7699	772	12	,	,	PUNCT
ap-7699	772	13	we	we	PRON
ap-7699	772	14	get	get	VERB
ap-7699	772	15	an	an	DET
ap-7699	772	16	explanation	explanation	NOUN
ap-7699	772	17	for	for	ADP
ap-7699	772	18	the	the	DET
ap-7699	772	19	x	x	NOUN
ap-7699	772	20	-	-	NOUN
ap-7699	772	21	dependence	dependence	NOUN
ap-7699	772	22	in	in	ADP
ap-7699	772	23	formula	formula	NOUN
ap-7699	772	24	for	for	ADP
ap-7699	772	25	uv	uv	NOUN
ap-7699	772	26	divergences	divergence	NOUN
ap-7699	772	27	in	in	ADP
ap-7699	772	28	(	(	PUNCT
ap-7699	772	29	51	51	NUM
ap-7699	772	30	)	)	PUNCT
ap-7699	772	31	.	.	PUNCT
ap-7699	773	1	the	the	DET
ap-7699	773	2	logical	logical	ADJ
ap-7699	773	3	chain	chain	NOUN
ap-7699	773	4	for	for	ADP
ap-7699	773	5	the	the	DET
ap-7699	773	6	explanation	explanation	NOUN
ap-7699	773	7	should	should	AUX
ap-7699	773	8	be	be	AUX
ap-7699	773	9	as	as	SCONJ
ap-7699	773	10	follows	follow	VERB
ap-7699	773	11	.	.	PUNCT
ap-7699	774	1	firstly	firstly	ADV
ap-7699	774	2	,	,	PUNCT
ap-7699	774	3	in	in	ADP
ap-7699	774	4	the	the	DET
ap-7699	774	5	pure	pure	ADJ
ap-7699	774	6	theory	theory	NOUN
ap-7699	774	7	c	c	NOUN
ap-7699	774	8	□	□	SYM
ap-7699	774	9	c	c	X
ap-7699	774	10	,	,	PUNCT
ap-7699	774	11	one	one	PRON
ap-7699	774	12	concludes	conclude	VERB
ap-7699	774	13	that	that	SCONJ
ap-7699	774	14	the	the	DET
ap-7699	774	15	problems	problem	NOUN
ap-7699	774	16	of	of	ADP
ap-7699	774	17	non	non	ADJ
ap-7699	774	18	-	-	NOUN
ap-7699	774	19	renormalizability	renormalizability	NOUN
ap-7699	774	20	shows	show	VERB
ap-7699	774	21	only	only	ADV
ap-7699	774	22	in	in	ADP
ap-7699	774	23	the	the	DET
ap-7699	774	24	final	final	ADJ
ap-7699	774	25	results	result	NOUN
ap-7699	774	26	as	as	ADP
ap-7699	774	27	impossibility	impossibility	NOUN
ap-7699	774	28	to	to	PART
ap-7699	774	29	take	take	VERB
ap-7699	774	30	the	the	DET
ap-7699	774	31	limit	limit	NOUN
ap-7699	774	32	ωr	ωr	ADP
ap-7699	774	33	→	→	SYM
ap-7699	774	34	0	0	NUM
ap-7699	774	35	or	or	CCONJ
ap-7699	774	36	equivalently	equivalently	ADV
ap-7699	774	37	x	x	PUNCT
ap-7699	774	38	→	→	SYM
ap-7699	774	39	∞	∞	NUM
ap-7699	774	40	of	of	ADP
ap-7699	774	41	formula	formula	NOUN
ap-7699	774	42	in	in	ADP
ap-7699	774	43	(	(	PUNCT
ap-7699	774	44	51	51	NUM
ap-7699	774	45	)	)	PUNCT
ap-7699	774	46	for	for	ADP
ap-7699	774	47	divergences	divergence	NOUN
ap-7699	774	48	of	of	ADP
ap-7699	774	49	the	the	DET
ap-7699	774	50	model	model	NOUN
ap-7699	774	51	.	.	PUNCT
ap-7699	775	1	hence	hence	ADV
ap-7699	775	2	the	the	DET
ap-7699	775	3	dependence	dependence	NOUN
ap-7699	775	4	must	must	AUX
ap-7699	775	5	be	be	AUX
ap-7699	775	6	on	on	ADP
ap-7699	775	7	non	non	ADJ
ap-7699	775	8	-	-	ADJ
ap-7699	775	9	negative	negative	ADJ
ap-7699	775	10	powers	power	NOUN
ap-7699	775	11	of	of	ADP
ap-7699	775	12	the	the	DET
ap-7699	775	13	ratio	ratio	NOUN
ap-7699	775	14	x	x	PUNCT
ap-7699	775	15	in	in	ADP
ap-7699	775	16	formula	formula	NOUN
ap-7699	775	17	(	(	PUNCT
ap-7699	775	18	51	51	NUM
ap-7699	775	19	)	)	PUNCT
ap-7699	775	20	,	,	PUNCT
ap-7699	775	21	as	as	SCONJ
ap-7699	775	22	it	it	PRON
ap-7699	775	23	is	be	AUX
ap-7699	775	24	clearly	clearly	ADV
ap-7699	775	25	confirmed	confirm	VERB
ap-7699	775	26	by	by	ADP
ap-7699	775	27	explicit	explicit	ADJ
ap-7699	775	28	inspection	inspection	NOUN
ap-7699	775	29	of	of	ADP
ap-7699	775	30	this	this	DET
ap-7699	775	31	formula	formula	NOUN
ap-7699	775	32	.	.	PUNCT
ap-7699	776	1	this	this	PRON
ap-7699	776	2	settles	settle	VERB
ap-7699	776	3	the	the	DET
ap-7699	776	4	issue	issue	NOUN
ap-7699	776	5	of	of	ADP
ap-7699	776	6	the	the	DET
ap-7699	776	7	structure	structure	NOUN
ap-7699	776	8	of	of	ADP
ap-7699	776	9	exact	exact	ADJ
ap-7699	776	10	beta	beta	NOUN
ap-7699	776	11	functions	function	NOUN
ap-7699	776	12	for	for	ADP
ap-7699	776	13	n	n	NOUN
ap-7699	776	14	=	=	SYM
ap-7699	776	15	1	1	NUM
ap-7699	776	16	models	model	NOUN
ap-7699	776	17	(	(	PUNCT
ap-7699	776	18	and	and	CCONJ
ap-7699	776	19	also	also	ADV
ap-7699	776	20	for	for	ADP
ap-7699	776	21	higher	high	ADJ
ap-7699	776	22	n	n	NOUN
ap-7699	776	23	⩾	⩾	NOUN
ap-7699	776	24	1	1	NUM
ap-7699	776	25	cases	case	NOUN
ap-7699	776	26	too	too	ADV
ap-7699	776	27	)	)	PUNCT
ap-7699	776	28	.	.	PUNCT
ap-7699	777	1	now	now	ADV
ap-7699	777	2	,	,	PUNCT
ap-7699	777	3	the	the	DET
ap-7699	777	4	same	same	ADJ
ap-7699	777	5	formula	formula	NOUN
ap-7699	777	6	is	be	AUX
ap-7699	777	7	a	a	DET
ap-7699	777	8	starting	starting	NOUN
ap-7699	777	9	point	point	NOUN
ap-7699	777	10	for	for	ADP
ap-7699	777	11	an	an	DET
ap-7699	777	12	attempt	attempt	NOUN
ap-7699	777	13	to	to	PART
ap-7699	777	14	take	take	VERB
ap-7699	777	15	the	the	DET
ap-7699	777	16	other	other	ADJ
ap-7699	777	17	limit	limit	NOUN
ap-7699	777	18	x	x	X
ap-7699	777	19	→	→	SYM
ap-7699	777	20	0	0	NUM
ap-7699	777	21	of	of	ADP
ap-7699	777	22	the	the	DET
ap-7699	777	23	also	also	ADV
ap-7699	777	24	non	non	ADJ
ap-7699	777	25	-	-	ADJ
ap-7699	777	26	renormalizable	renormalizable	ADJ
ap-7699	777	27	model	model	NOUN
ap-7699	777	28	of	of	ADP
ap-7699	777	29	the	the	DET
ap-7699	777	30	type	type	NOUN
ap-7699	777	31	r	r	NOUN
ap-7699	777	32	□	□	NOUN
ap-7699	777	33	r.	r.	NOUN
ap-7699	777	34	but	but	CCONJ
ap-7699	777	35	in	in	ADP
ap-7699	777	36	such	such	DET
ap-7699	777	37	a	a	DET
ap-7699	777	38	model	model	NOUN
ap-7699	777	39	we	we	PRON
ap-7699	777	40	have	have	AUX
ap-7699	777	41	already	already	ADV
ap-7699	777	42	found	find	VERB
ap-7699	777	43	a	a	DET
ap-7699	777	44	source	source	NOUN
ap-7699	777	45	of	of	ADP
ap-7699	777	46	the	the	DET
ap-7699	777	47	problem	problem	NOUN
ap-7699	777	48	caused	cause	VERB
ap-7699	777	49	by	by	ADP
ap-7699	777	50	non	non	ADJ
ap-7699	777	51	-	-	NOUN
ap-7699	777	52	renormalizability	renormalizability	NOUN
ap-7699	777	53	earlier	early	ADV
ap-7699	777	54	,	,	PUNCT
ap-7699	777	55	that	that	SCONJ
ap-7699	777	56	it	it	PRON
ap-7699	777	57	is	be	AUX
ap-7699	777	58	here	here	ADV
ap-7699	777	59	connected	connect	VERB
ap-7699	777	60	with	with	ADP
ap-7699	777	61	the	the	DET
ap-7699	777	62	impossibility	impossibility	NOUN
ap-7699	777	63	to	to	PART
ap-7699	777	64	properly	properly	ADV
ap-7699	777	65	define	define	VERB
ap-7699	777	66	non	non	ADJ
ap-7699	777	67	-	-	ADJ
ap-7699	777	68	degenerate	degenerate	ADJ
ap-7699	777	69	hessian	hessian	ADJ
ap-7699	777	70	operator	operator	NOUN
ap-7699	777	71	in	in	ADP
ap-7699	777	72	the	the	DET
ap-7699	777	73	model	model	NOUN
ap-7699	777	74	.	.	PUNCT
ap-7699	778	1	but	but	CCONJ
ap-7699	778	2	this	this	DET
ap-7699	778	3	limiting	limit	VERB
ap-7699	778	4	case	case	NOUN
ap-7699	778	5	of	of	ADP
ap-7699	778	6	x	x	SYM
ap-7699	778	7	→	→	SYM
ap-7699	778	8	0	0	NUM
ap-7699	778	9	must	must	AUX
ap-7699	778	10	follow	follow	VERB
ap-7699	778	11	the	the	DET
ap-7699	778	12	same	same	ADJ
ap-7699	778	13	structure	structure	NOUN
ap-7699	778	14	as	as	ADP
ap-7699	778	15	already	already	ADV
ap-7699	778	16	established	establish	VERB
ap-7699	778	17	in	in	ADP
ap-7699	778	18	formula	formula	NOUN
ap-7699	778	19	(	(	PUNCT
ap-7699	778	20	51	51	NUM
ap-7699	778	21	)	)	PUNCT
ap-7699	778	22	.	.	PUNCT
ap-7699	779	1	simply	simply	ADV
ap-7699	779	2	,	,	PUNCT
ap-7699	779	3	theoretically	theoretically	ADV
ap-7699	779	4	speaking	speak	VERB
ap-7699	779	5	,	,	PUNCT
ap-7699	779	6	there	there	PRON
ap-7699	779	7	is	be	VERB
ap-7699	779	8	no	no	DET
ap-7699	779	9	need	need	NOUN
ap-7699	779	10	to	to	PART
ap-7699	779	11	see	see	VERB
ap-7699	779	12	more	more	ADJ
ap-7699	779	13	instances	instance	NOUN
ap-7699	779	14	of	of	ADP
ap-7699	779	15	problems	problem	NOUN
ap-7699	779	16	due	due	ADJ
ap-7699	779	17	to	to	ADP
ap-7699	779	18	non	non	NOUN
ap-7699	779	19	-	-	NOUN
ap-7699	779	20	renormalizability	renormalizability	NOUN
ap-7699	779	21	in	in	ADP
ap-7699	779	22	the	the	DET
ap-7699	779	23	r	r	NOUN
ap-7699	779	24	□	□	NOUN
ap-7699	779	25	r	r	NOUN
ap-7699	779	26	model	model	NOUN
ap-7699	779	27	.	.	PUNCT
ap-7699	780	1	hence	hence	ADV
ap-7699	780	2	,	,	PUNCT
ap-7699	780	3	the	the	DET
ap-7699	780	4	first	first	ADJ
ap-7699	780	5	explanation	explanation	NOUN
ap-7699	780	6	based	base	VERB
ap-7699	780	7	on	on	ADP
ap-7699	780	8	the	the	DET
ap-7699	780	9	c	c	PROPN
ap-7699	780	10	□	□	PROPN
ap-7699	780	11	c	c	NOUN
ap-7699	780	12	model	model	NOUN
ap-7699	780	13	is	be	AUX
ap-7699	780	14	sufficient	sufficient	ADJ
ap-7699	780	15	and	and	CCONJ
ap-7699	780	16	the	the	DET
ap-7699	780	17	results	result	NOUN
ap-7699	780	18	in	in	ADP
ap-7699	780	19	the	the	DET
ap-7699	780	20	model	model	NOUN
ap-7699	780	21	r	r	NOUN
ap-7699	780	22	□	□	NOUN
ap-7699	780	23	r	r	NOUN
ap-7699	780	24	must	must	AUX
ap-7699	780	25	be	be	AUX
ap-7699	780	26	consistent	consistent	ADJ
ap-7699	780	27	with	with	ADP
ap-7699	780	28	it	it	PRON
ap-7699	780	29	.	.	PUNCT
ap-7699	781	1	moreover	moreover	ADV
ap-7699	781	2	,	,	PUNCT
ap-7699	781	3	from	from	ADP
ap-7699	781	4	just	just	ADV
ap-7699	781	5	the	the	DET
ap-7699	781	6	analysis	analysis	NOUN
ap-7699	781	7	of	of	ADP
ap-7699	781	8	the	the	DET
ap-7699	781	9	case	case	NOUN
ap-7699	781	10	x	x	X
ap-7699	781	11	→	→	SYM
ap-7699	781	12	∞	∞	PROPN
ap-7699	781	13	,	,	PUNCT
ap-7699	781	14	we	we	PRON
ap-7699	781	15	have	have	AUX
ap-7699	781	16	concluded	conclude	VERB
ap-7699	781	17	what	what	PRON
ap-7699	781	18	is	be	AUX
ap-7699	781	19	the	the	DET
ap-7699	781	20	structure	structure	NOUN
ap-7699	781	21	in	in	ADP
ap-7699	781	22	a	a	DET
ap-7699	781	23	generic	generic	ADJ
ap-7699	781	24	renormalizable	renormalizable	ADJ
ap-7699	781	25	case	case	NOUN
ap-7699	781	26	,	,	PUNCT
ap-7699	781	27	when	when	SCONJ
ap-7699	781	28	we	we	PRON
ap-7699	781	29	have	have	VERB
ap-7699	781	30	both	both	PRON
ap-7699	781	31	ωr	ωr	VERB
ap-7699	781	32	̸=	̸=	PROPN
ap-7699	781	33	0	0	NUM
ap-7699	781	34	and	and	CCONJ
ap-7699	781	35	ωc	ωc	ADP
ap-7699	781	36	̸=	̸=	PROPN
ap-7699	781	37	0	0	NUM
ap-7699	781	38	(	(	PUNCT
ap-7699	781	39	so	so	ADV
ap-7699	781	40	x	x	SYM
ap-7699	781	41	̸=	̸=	PROPN
ap-7699	781	42	0	0	NUM
ap-7699	782	1	and	and	CCONJ
ap-7699	783	1	x	x	SYM
ap-7699	783	2	̸=	̸=	PROPN
ap-7699	783	3	∞	∞	NUM
ap-7699	783	4	)	)	PUNCT
ap-7699	784	1	.	.	PUNCT
ap-7699	785	1	this	this	DET
ap-7699	785	2	structure	structure	NOUN
ap-7699	785	3	is	be	AUX
ap-7699	785	4	beautifully	beautifully	ADV
ap-7699	785	5	confirmed	confirm	VERB
ap-7699	785	6	by	by	ADP
ap-7699	785	7	the	the	DET
ap-7699	785	8	formula	formula	NOUN
ap-7699	785	9	(	(	PUNCT
ap-7699	785	10	51	51	NUM
ap-7699	785	11	)	)	PUNCT
ap-7699	785	12	or	or	CCONJ
ap-7699	785	13	(	(	PUNCT
ap-7699	785	14	33	33	NUM
ap-7699	785	15	)	)	PUNCT
ap-7699	785	16	explicitly	explicitly	ADV
ap-7699	785	17	for	for	ADP
ap-7699	785	18	the	the	DET
ap-7699	785	19	generic	generic	ADJ
ap-7699	785	20	case	case	NOUN
ap-7699	785	21	.	.	PUNCT
ap-7699	786	1	as	as	SCONJ
ap-7699	786	2	emphasized	emphasize	VERB
ap-7699	786	3	above	above	ADV
ap-7699	786	4	,	,	PUNCT
ap-7699	786	5	it	it	PRON
ap-7699	786	6	is	be	AUX
ap-7699	786	7	in	in	ADP
ap-7699	786	8	turn	turn	NOUN
ap-7699	786	9	the	the	DET
ap-7699	786	10	n	n	NOUN
ap-7699	786	11	=	=	SYM
ap-7699	786	12	0	0	NUM
ap-7699	786	13	case	case	NOUN
ap-7699	786	14	,	,	PUNCT
ap-7699	786	15	which	which	PRON
ap-7699	786	16	is	be	AUX
ap-7699	786	17	extraordinary	extraordinary	ADJ
ap-7699	786	18	and	and	CCONJ
ap-7699	786	19	it	it	PRON
ap-7699	786	20	changes	change	VERB
ap-7699	786	21	the	the	DET
ap-7699	786	22	pattern	pattern	NOUN
ap-7699	786	23	of	of	ADP
ap-7699	786	24	x4−der	x4−der	NOUN
ap-7699	786	25	-	-	PUNCT
ap-7699	786	26	dependencies	dependency	NOUN
ap-7699	786	27	described	describe	VERB
ap-7699	786	28	above	above	ADV
ap-7699	786	29	.	.	PUNCT
ap-7699	787	1	this	this	PRON
ap-7699	787	2	all	all	PRON
ap-7699	787	3	can	can	AUX
ap-7699	787	4	be	be	AUX
ap-7699	787	5	traced	trace	VERB
ap-7699	787	6	back	back	ADV
ap-7699	787	7	to	to	ADP
ap-7699	787	8	the	the	DET
ap-7699	787	9	fact	fact	NOUN
ap-7699	787	10	that	that	SCONJ
ap-7699	787	11	for	for	ADP
ap-7699	787	12	n	n	NOUN
ap-7699	787	13	=	=	SYM
ap-7699	787	14	0	0	NUM
ap-7699	787	15	we	we	PRON
ap-7699	787	16	have	have	AUX
ap-7699	787	17	the	the	DET
ap-7699	787	18	possibility	possibility	NOUN
ap-7699	787	19	of	of	ADP
ap-7699	787	20	reducing	reduce	VERB
ap-7699	787	21	the	the	DET
ap-7699	787	22	generic	generic	ADJ
ap-7699	787	23	hd	hd	NOUN
ap-7699	787	24	scale	scale	NOUN
ap-7699	787	25	-	-	PUNCT
ap-7699	787	26	invariant	invariant	ADJ
ap-7699	787	27	model	model	NOUN
ap-7699	787	28	to	to	ADP
ap-7699	787	29	the	the	DET
ap-7699	787	30	conformal	conformal	ADJ
ap-7699	787	31	one	one	NOUN
ap-7699	787	32	,	,	PUNCT
ap-7699	787	33	when	when	SCONJ
ap-7699	787	34	the	the	DET
ap-7699	787	35	full	full	ADJ
ap-7699	787	36	conformal	conformal	NOUN
ap-7699	787	37	symmetry	symmetry	NOUN
ap-7699	787	38	is	be	AUX
ap-7699	787	39	preserved	preserve	VERB
ap-7699	787	40	(	(	PUNCT
ap-7699	787	41	at	at	ADP
ap-7699	787	42	least	least	ADJ
ap-7699	787	43	on	on	ADP
ap-7699	787	44	the	the	DET
ap-7699	787	45	classical	classical	ADJ
ap-7699	787	46	level	level	NOUN
ap-7699	787	47	of	of	ADP
ap-7699	787	48	the	the	DET
ap-7699	787	49	theory	theory	NOUN
ap-7699	787	50	)	)	PUNCT
ap-7699	787	51	.	.	PUNCT
ap-7699	788	1	this	this	PRON
ap-7699	788	2	happens	happen	VERB
ap-7699	788	3	,	,	PUNCT
ap-7699	788	4	when	when	SCONJ
ap-7699	788	5	one	one	PRON
ap-7699	788	6	takes	take	VERB
ap-7699	788	7	the	the	DET
ap-7699	788	8	isolated	isolated	ADJ
ap-7699	788	9	case	case	NOUN
ap-7699	788	10	of	of	ADP
ap-7699	788	11	θr	θr	NOUN
ap-7699	788	12	=	=	SYM
ap-7699	788	13	0	0	PUNCT
ap-7699	788	14	and	and	CCONJ
ap-7699	788	15	θc	θc	VERB
ap-7699	788	16	̸=	̸=	PROPN
ap-7699	788	17	0	0	NUM
ap-7699	788	18	for	for	ADP
ap-7699	788	19	the	the	DET
ap-7699	788	20	four	four	NUM
ap-7699	788	21	-	-	PUNCT
ap-7699	788	22	derivative	derivative	ADJ
ap-7699	788	23	theory	theory	NOUN
ap-7699	788	24	(	(	PUNCT
ap-7699	788	25	for	for	ADP
ap-7699	788	26	positive	positive	ADJ
ap-7699	788	27	-	-	PUNCT
ap-7699	788	28	definiteness	definiteness	NOUN
ap-7699	788	29	we	we	PRON
ap-7699	788	30	may	may	AUX
ap-7699	788	31	also	also	ADV
ap-7699	788	32	assume	assume	VERB
ap-7699	788	33	that	that	SCONJ
ap-7699	788	34	θc	θc	ADP
ap-7699	788	35	>	>	X
ap-7699	788	36	0	0	NUM
ap-7699	788	37	)	)	PUNCT
ap-7699	788	38	.	.	PUNCT
ap-7699	789	1	this	this	DET
ap-7699	789	2	case	case	NOUN
ap-7699	789	3	is	be	AUX
ap-7699	789	4	discontinuous	discontinuous	ADJ
ap-7699	789	5	and	and	CCONJ
ap-7699	789	6	can	can	AUX
ap-7699	789	7	not	not	PART
ap-7699	789	8	be	be	AUX
ap-7699	789	9	taken	take	VERB
ap-7699	789	10	as	as	ADP
ap-7699	789	11	the	the	DET
ap-7699	789	12	naive	naive	ADJ
ap-7699	789	13	limit	limit	NOUN
ap-7699	789	14	x4−der	x4−der	PUNCT
ap-7699	790	1	→	→	PUNCT
ap-7699	790	2	∞	∞	NUM
ap-7699	790	3	of	of	ADP
ap-7699	790	4	the	the	DET
ap-7699	790	5	formula	formula	NOUN
ap-7699	790	6	(	(	PUNCT
ap-7699	790	7	49	49	NUM
ap-7699	790	8	)	)	PUNCT
ap-7699	790	9	for	for	ADP
ap-7699	790	10	the	the	DET
ap-7699	790	11	r2	r2	PROPN
ap-7699	790	12	type	type	NOUN
ap-7699	790	13	of	of	ADP
ap-7699	790	14	uv	uv	NOUN
ap-7699	790	15	divergences	divergence	NOUN
ap-7699	790	16	,	,	PUNCT
ap-7699	790	17	which	which	PRON
ap-7699	790	18	would	would	AUX
ap-7699	790	19	leave	leave	VERB
ap-7699	790	20	us	we	PRON
ap-7699	790	21	effectively	effectively	ADV
ap-7699	790	22	only	only	ADV
ap-7699	790	23	with	with	ADP
ap-7699	790	24	the	the	DET
ap-7699	790	25	a0	a0	PROPN
ap-7699	790	26	coefficient	coefficient	NOUN
ap-7699	790	27	.	.	PUNCT
ap-7699	791	1	it	it	PRON
ap-7699	791	2	is	be	AUX
ap-7699	791	3	well	well	ADV
ap-7699	791	4	known	know	VERB
ap-7699	791	5	that	that	SCONJ
ap-7699	791	6	the	the	DET
ap-7699	791	7	conformal	conformal	ADJ
ap-7699	791	8	gravity	gravity	NOUN
ap-7699	791	9	model	model	NOUN
ap-7699	791	10	is	be	AUX
ap-7699	791	11	renormalizable	renormalizable	ADJ
ap-7699	791	12	one	one	NUM
ap-7699	791	13	(	(	PUNCT
ap-7699	791	14	at	at	ADP
ap-7699	791	15	least	least	ADJ
ap-7699	791	16	to	to	ADP
ap-7699	791	17	the	the	DET
ap-7699	791	18	one	one	NUM
ap-7699	791	19	-	-	PUNCT
ap-7699	791	20	loop	loop	NOUN
ap-7699	791	21	level	level	NOUN
ap-7699	791	22	)	)	PUNCT
ap-7699	791	23	,	,	PUNCT
ap-7699	791	24	contrary	contrary	ADV
ap-7699	791	25	to	to	ADP
ap-7699	791	26	the	the	DET
ap-7699	791	27	case	case	NOUN
ap-7699	791	28	of	of	ADP
ap-7699	791	29	the	the	DET
ap-7699	791	30	theory	theory	NOUN
ap-7699	791	31	c	c	NOUN
ap-7699	791	32	□	□	SYM
ap-7699	791	33	c	c	X
ap-7699	791	34	,	,	PUNCT
ap-7699	791	35	which	which	PRON
ap-7699	791	36	was	be	AUX
ap-7699	791	37	139	139	NUM
ap-7699	791	38	lesław	lesław	ADJ
ap-7699	791	39	rachwał	rachwał	PROPN
ap-7699	791	40	acta	acta	PROPN
ap-7699	791	41	polytechnica	polytechnica	PROPN
ap-7699	791	42	discussed	discuss	VERB
ap-7699	791	43	above	above	ADV
ap-7699	791	44	.	.	PUNCT
ap-7699	792	1	this	this	PRON
ap-7699	792	2	means	mean	VERB
ap-7699	792	3	that	that	SCONJ
ap-7699	792	4	we	we	PRON
ap-7699	792	5	shall	shall	AUX
ap-7699	792	6	not	not	PART
ap-7699	792	7	find	find	VERB
ap-7699	792	8	any	any	DET
ap-7699	792	9	source	source	NOUN
ap-7699	792	10	of	of	ADP
ap-7699	792	11	the	the	DET
ap-7699	792	12	problem	problem	NOUN
ap-7699	792	13	when	when	SCONJ
ap-7699	792	14	computing	compute	VERB
ap-7699	792	15	and	and	CCONJ
ap-7699	792	16	getting	get	VERB
ap-7699	792	17	results	result	NOUN
ap-7699	792	18	for	for	ADP
ap-7699	792	19	uv	uv	NOUN
ap-7699	792	20	divergences	divergence	NOUN
ap-7699	792	21	of	of	ADP
ap-7699	792	22	this	this	DET
ap-7699	792	23	c2	c2	PROPN
ap-7699	792	24	model	model	NOUN
ap-7699	792	25	.	.	PUNCT
ap-7699	793	1	we	we	PRON
ap-7699	793	2	do	do	AUX
ap-7699	793	3	not	not	PART
ap-7699	793	4	find	find	VERB
ap-7699	793	5	problems	problem	NOUN
ap-7699	793	6	with	with	ADP
ap-7699	793	7	the	the	DET
ap-7699	793	8	hessian	hessian	NOUN
ap-7699	793	9	or	or	CCONJ
ap-7699	793	10	the	the	DET
ap-7699	793	11	propagator	propagator	NOUN
ap-7699	793	12	provided	provide	VERB
ap-7699	793	13	we	we	PRON
ap-7699	793	14	also	also	ADV
ap-7699	793	15	gauge	gauge	VERB
ap-7699	793	16	-	-	PUNCT
ap-7699	793	17	fix	fix	VERB
ap-7699	793	18	the	the	DET
ap-7699	793	19	conformal	conformal	ADJ
ap-7699	793	20	local	local	ADJ
ap-7699	793	21	symmetry	symmetry	NOUN
ap-7699	793	22	of	of	ADP
ap-7699	793	23	weyl	weyl	VERB
ap-7699	793	24	conformal	conformal	ADJ
ap-7699	793	25	gravity	gravity	NOUN
ap-7699	793	26	.	.	PUNCT
ap-7699	794	1	we	we	PRON
ap-7699	794	2	shall	shall	AUX
ap-7699	794	3	not	not	PART
ap-7699	794	4	find	find	VERB
ap-7699	794	5	the	the	DET
ap-7699	794	6	problem	problem	NOUN
ap-7699	794	7	with	with	ADP
ap-7699	794	8	the	the	DET
ap-7699	794	9	final	final	ADJ
ap-7699	794	10	expression	expression	NOUN
ap-7699	794	11	of	of	ADP
ap-7699	794	12	uv	uv	NOUN
ap-7699	794	13	divergences	divergence	NOUN
ap-7699	794	14	,	,	PUNCT
ap-7699	794	15	so	so	SCONJ
ap-7699	794	16	there	there	ADV
ap-7699	794	17	we	we	PRON
ap-7699	794	18	shall	shall	AUX
ap-7699	794	19	not	not	PART
ap-7699	794	20	expect	expect	VERB
ap-7699	794	21	poles	pole	NOUN
ap-7699	794	22	with	with	ADP
ap-7699	794	23	θr	θr	DET
ap-7699	794	24	coefficient	coefficient	NOUN
ap-7699	794	25	.	.	PUNCT
ap-7699	795	1	but	but	CCONJ
ap-7699	795	2	some	some	DET
ap-7699	795	3	x4−der	x4−der	X
ap-7699	795	4	-	-	PUNCT
ap-7699	795	5	dependence	dependence	NOUN
ap-7699	795	6	up	up	ADP
ap-7699	795	7	to	to	ADP
ap-7699	795	8	the	the	DET
ap-7699	795	9	quadratic	quadratic	ADJ
ap-7699	795	10	order	order	NOUN
ap-7699	795	11	could	could	AUX
ap-7699	795	12	be	be	AUX
ap-7699	795	13	present	present	ADJ
ap-7699	795	14	(	(	PUNCT
ap-7699	795	15	this	this	PRON
ap-7699	795	16	is	be	AUX
ap-7699	795	17	due	due	ADJ
ap-7699	795	18	to	to	ADP
ap-7699	795	19	the	the	DET
ap-7699	795	20	one	one	NUM
ap-7699	795	21	-	-	PUNCT
ap-7699	795	22	loop	loop	NOUN
ap-7699	795	23	character	character	NOUN
ap-7699	795	24	of	of	ADP
ap-7699	795	25	the	the	DET
ap-7699	795	26	computation	computation	NOUN
ap-7699	795	27	here	here	ADV
ap-7699	795	28	;	;	PUNCT
ap-7699	795	29	one	one	PRON
ap-7699	795	30	can	can	AUX
ap-7699	795	31	understand	understand	VERB
ap-7699	795	32	this	this	PRON
ap-7699	795	33	easily	easily	ADV
ap-7699	795	34	from	from	ADP
ap-7699	795	35	contributing	contribute	VERB
ap-7699	795	36	feynman	feynman	ADJ
ap-7699	795	37	diagrams	diagram	NOUN
ap-7699	795	38	)	)	PUNCT
ap-7699	795	39	.	.	PUNCT
ap-7699	796	1	so	so	ADV
ap-7699	796	2	then	then	ADV
ap-7699	796	3	,	,	PUNCT
ap-7699	796	4	we	we	PRON
ap-7699	796	5	conclude	conclude	VERB
ap-7699	796	6	that	that	SCONJ
ap-7699	796	7	this	this	DET
ap-7699	796	8	dependence	dependence	NOUN
ap-7699	796	9	may	may	AUX
ap-7699	796	10	be	be	AUX
ap-7699	796	11	only	only	ADV
ap-7699	796	12	in	in	ADP
ap-7699	796	13	positive	positive	ADJ
ap-7699	796	14	powers	power	NOUN
ap-7699	796	15	of	of	ADP
ap-7699	796	16	the	the	DET
ap-7699	796	17	inverse	inverse	NOUN
ap-7699	796	18	ratio	ratio	NOUN
ap-7699	796	19	,	,	PUNCT
ap-7699	796	20	namely	namely	ADV
ap-7699	796	21	of	of	ADP
ap-7699	796	22	x−1	x−1	PROPN
ap-7699	796	23	4−der	4−der	NOUN
ap-7699	797	1	=	=	SYM
ap-7699	797	2	θr	θr	NOUN
ap-7699	797	3	/	/	SYM
ap-7699	797	4	θc	θc	NOUN
ap-7699	797	5	.	.	PUNCT
ap-7699	798	1	this	this	PRON
ap-7699	798	2	is	be	AUX
ap-7699	798	3	again	again	ADV
ap-7699	798	4	confirmed	confirm	VERB
ap-7699	798	5	in	in	ADP
ap-7699	798	6	the	the	DET
ap-7699	798	7	formula	formula	NOUN
ap-7699	798	8	(	(	PUNCT
ap-7699	798	9	49	49	NUM
ap-7699	798	10	)	)	PUNCT
ap-7699	798	11	and	and	CCONJ
ap-7699	798	12	(	(	PUNCT
ap-7699	798	13	34	34	NUM
ap-7699	798	14	)	)	PUNCT
ap-7699	798	15	,	,	PUNCT
ap-7699	798	16	where	where	SCONJ
ap-7699	798	17	we	we	PRON
ap-7699	798	18	indeed	indeed	ADV
ap-7699	798	19	find	find	VERB
ap-7699	798	20	the	the	DET
ap-7699	798	21	quadratic	quadratic	ADJ
ap-7699	798	22	dependence	dependence	NOUN
ap-7699	798	23	but	but	CCONJ
ap-7699	798	24	in	in	ADP
ap-7699	798	25	the	the	DET
ap-7699	798	26	inverse	inverse	NOUN
ap-7699	798	27	ratio	ratio	NOUN
ap-7699	798	28	x−1	x−1	PROPN
ap-7699	799	1	4−der	4−der	NOUN
ap-7699	799	2	.	.	PUNCT
ap-7699	800	1	simply	simply	ADV
ap-7699	800	2	,	,	PUNCT
ap-7699	800	3	the	the	DET
ap-7699	800	4	final	final	ADJ
ap-7699	800	5	results	result	NOUN
ap-7699	800	6	for	for	ADP
ap-7699	800	7	the	the	DET
ap-7699	800	8	generic	generic	ADJ
ap-7699	800	9	case	case	NOUN
ap-7699	800	10	x4−der	x4−der	PUNCT
ap-7699	801	1	̸=	̸=	NOUN
ap-7699	801	2	0	0	NUM
ap-7699	801	3	and	and	CCONJ
ap-7699	801	4	x4−der	x4−der	NUM
ap-7699	802	1	̸=	̸=	PROPN
ap-7699	802	2	∞	∞	NUM
ap-7699	802	3	can	can	AUX
ap-7699	802	4	not	not	PART
ap-7699	802	5	depend	depend	VERB
ap-7699	802	6	on	on	ADP
ap-7699	802	7	positive	positive	ADJ
ap-7699	802	8	powers	power	NOUN
ap-7699	802	9	of	of	ADP
ap-7699	802	10	x4−der	x4−der	PROPN
ap-7699	803	1	since	since	SCONJ
ap-7699	803	2	then	then	ADV
ap-7699	803	3	the	the	DET
ap-7699	803	4	limit	limit	NOUN
ap-7699	803	5	of	of	ADP
ap-7699	803	6	conformal	conformal	ADJ
ap-7699	803	7	gravity	gravity	NOUN
ap-7699	803	8	in	in	ADP
ap-7699	803	9	d	d	PROPN
ap-7699	803	10	=	=	SYM
ap-7699	803	11	4	4	NUM
ap-7699	803	12	(	(	PUNCT
ap-7699	803	13	i.e.	i.e.	X
ap-7699	803	14	x4−der	x4−der	PUNCT
ap-7699	803	15	→	→	SYM
ap-7699	803	16	∞	∞	NUM
ap-7699	803	17	)	)	PUNCT
ap-7699	803	18	would	would	AUX
ap-7699	803	19	produce	produce	VERB
ap-7699	803	20	divergent	divergent	ADJ
ap-7699	803	21	results	result	NOUN
ap-7699	803	22	,	,	PUNCT
ap-7699	803	23	but	but	CCONJ
ap-7699	803	24	we	we	PRON
ap-7699	803	25	know	know	VERB
ap-7699	803	26	that	that	SCONJ
ap-7699	803	27	weyl	weyl	VERB
ap-7699	803	28	gravity	gravity	NOUN
ap-7699	803	29	is	be	AUX
ap-7699	803	30	renormalizable	renormalizable	ADJ
ap-7699	803	31	with	with	ADP
ap-7699	803	32	a	a	DET
ap-7699	803	33	good	good	ADJ
ap-7699	803	34	control	control	NOUN
ap-7699	803	35	over	over	ADP
ap-7699	803	36	one	one	NUM
ap-7699	803	37	-	-	PUNCT
ap-7699	803	38	loop	loop	NOUN
ap-7699	803	39	uv	uv	NOUN
ap-7699	803	40	divergences	divergence	NOUN
ap-7699	803	41	.	.	PUNCT
ap-7699	804	1	however	however	ADV
ap-7699	804	2	,	,	PUNCT
ap-7699	804	3	this	this	PRON
ap-7699	804	4	does	do	AUX
ap-7699	804	5	not	not	PART
ap-7699	804	6	mean	mean	VERB
ap-7699	804	7	that	that	SCONJ
ap-7699	804	8	the	the	DET
ap-7699	804	9	results	result	NOUN
ap-7699	804	10	for	for	ADP
ap-7699	804	11	conformal	conformal	ADJ
ap-7699	804	12	gravity	gravity	NOUN
ap-7699	804	13	are	be	AUX
ap-7699	804	14	continuous	continuous	ADJ
ap-7699	804	15	and	and	CCONJ
ap-7699	804	16	obtainable	obtainable	ADJ
ap-7699	804	17	from	from	ADP
ap-7699	804	18	the	the	DET
ap-7699	804	19	generic	generic	ADJ
ap-7699	804	20	ones	one	NOUN
ap-7699	804	21	in	in	ADP
ap-7699	804	22	(	(	PUNCT
ap-7699	804	23	34	34	NUM
ap-7699	804	24	)	)	PUNCT
ap-7699	804	25	by	by	ADP
ap-7699	804	26	taking	take	VERB
ap-7699	804	27	the	the	DET
ap-7699	804	28	limit	limit	NOUN
ap-7699	804	29	x4−der	x4−der	PUNCT
ap-7699	805	1	→	→	PUNCT
ap-7699	805	2	∞	∞	NUM
ap-7699	805	3	there	there	ADV
ap-7699	805	4	.	.	PUNCT
ap-7699	806	1	we	we	PRON
ap-7699	806	2	admit	admit	VERB
ap-7699	806	3	the	the	DET
ap-7699	806	4	fact	fact	NOUN
ap-7699	806	5	that	that	SCONJ
ap-7699	806	6	the	the	DET
ap-7699	806	7	coefficients	coefficient	NOUN
ap-7699	806	8	there	there	ADV
ap-7699	806	9	may	may	AUX
ap-7699	806	10	show	show	VERB
ap-7699	806	11	some	some	DET
ap-7699	806	12	finite	finite	ADJ
ap-7699	806	13	discontinuities	discontinuity	NOUN
ap-7699	806	14	.	.	PUNCT
ap-7699	807	1	however	however	ADV
ap-7699	807	2	,	,	PUNCT
ap-7699	807	3	both	both	CCONJ
ap-7699	807	4	in	in	ADP
ap-7699	807	5	the	the	DET
ap-7699	807	6	true	true	ADJ
ap-7699	807	7	and	and	CCONJ
ap-7699	807	8	naive	naive	ADJ
ap-7699	807	9	x4−der	x4−der	PUNCT
ap-7699	808	1	→	→	PUNCT
ap-7699	808	2	∞	∞	NUM
ap-7699	808	3	limiting	limit	VERB
ap-7699	808	4	forms	form	NOUN
ap-7699	808	5	they	they	PRON
ap-7699	808	6	must	must	AUX
ap-7699	808	7	be	be	AUX
ap-7699	808	8	finite	finite	ADJ
ap-7699	808	9	–	–	PUNCT
ap-7699	808	10	we	we	PRON
ap-7699	808	11	only	only	ADV
ap-7699	808	12	exclude	exclude	VERB
ap-7699	808	13	the	the	DET
ap-7699	808	14	case	case	NOUN
ap-7699	808	15	when	when	SCONJ
ap-7699	808	16	they	they	PRON
ap-7699	808	17	would	would	AUX
ap-7699	808	18	be	be	AUX
ap-7699	808	19	divergent	divergent	ADJ
ap-7699	808	20	in	in	ADP
ap-7699	808	21	the	the	PRON
ap-7699	808	22	x4−der	x4−der	PUNCT
ap-7699	809	1	→	→	SYM
ap-7699	809	2	∞	∞	NUM
ap-7699	809	3	limit	limit	NOUN
ap-7699	809	4	.	.	PUNCT
ap-7699	810	1	in	in	ADP
ap-7699	810	2	this	this	DET
ap-7699	810	3	way	way	NOUN
ap-7699	810	4	,	,	PUNCT
ap-7699	810	5	the	the	DET
ap-7699	810	6	results	result	NOUN
ap-7699	810	7	in	in	ADP
ap-7699	810	8	renormalizable	renormalizable	ADJ
ap-7699	810	9	4	4	NUM
ap-7699	810	10	-	-	PUNCT
ap-7699	810	11	dimensional	dimensional	ADJ
ap-7699	810	12	conformal	conformal	NOUN
ap-7699	810	13	gravity	gravity	NOUN
ap-7699	810	14	for	for	ADP
ap-7699	810	15	uv	uv	NOUN
ap-7699	810	16	divergences	divergence	NOUN
ap-7699	810	17	may	may	AUX
ap-7699	810	18	be	be	AUX
ap-7699	810	19	expressed	express	VERB
ap-7699	810	20	via	via	ADP
ap-7699	810	21	finite	finite	ADJ
ap-7699	810	22	numbers	number	NOUN
ap-7699	810	23	multiplying	multiply	VERB
ap-7699	810	24	just	just	ADV
ap-7699	810	25	one	one	NUM
ap-7699	810	26	common	common	ADJ
ap-7699	810	27	overall	overall	ADJ
ap-7699	810	28	divergence	divergence	NOUN
ap-7699	810	29	(	(	PUNCT
ap-7699	810	30	like	like	INTJ
ap-7699	810	31	1/ϵ	1/ϵ	NUM
ap-7699	810	32	parameter	parameter	NOUN
ap-7699	810	33	in	in	ADP
ap-7699	810	34	dimensional	dimensional	ADJ
ap-7699	810	35	regularization	regularization	NOUN
ap-7699	810	36	(	(	PUNCT
ap-7699	810	37	dimreg	dimreg	NOUN
ap-7699	810	38	)	)	PUNCT
ap-7699	810	39	scheme	scheme	NOUN
ap-7699	810	40	)	)	PUNCT
ap-7699	810	41	.	.	PUNCT
ap-7699	811	1	the	the	DET
ap-7699	811	2	theory	theory	NOUN
ap-7699	811	3	is	be	AUX
ap-7699	811	4	renormalizable	renormalizable	ADJ
ap-7699	811	5	and	and	CCONJ
ap-7699	811	6	there	there	PRON
ap-7699	811	7	are	be	VERB
ap-7699	811	8	no	no	DET
ap-7699	811	9	new	new	ADJ
ap-7699	811	10	divergences	divergence	NOUN
ap-7699	811	11	inside	inside	ADP
ap-7699	811	12	coefficients	coefficient	NOUN
ap-7699	811	13	of	of	ADP
ap-7699	811	14	established	establish	VERB
ap-7699	811	15	form	form	NOUN
ap-7699	811	16	of	of	ADP
ap-7699	811	17	uv	uv	NOUN
ap-7699	811	18	divergences	divergence	NOUN
ap-7699	811	19	in	in	ADP
ap-7699	811	20	generic	generic	PROPN
ap-7699	811	21	hd	hd	PROPN
ap-7699	811	22	stelle	stelle	PROPN
ap-7699	811	23	theory	theory	NOUN
ap-7699	811	24	in	in	ADP
ap-7699	811	25	d	d	PROPN
ap-7699	811	26	=	=	SYM
ap-7699	811	27	4	4	NUM
ap-7699	811	28	spacetime	spacetime	NOUN
ap-7699	811	29	dimensions	dimension	NOUN
ap-7699	811	30	,	,	PUNCT
ap-7699	811	31	as	as	ADP
ap-7699	811	32	in	in	ADP
ap-7699	811	33	(	(	PUNCT
ap-7699	811	34	1	1	NUM
ap-7699	811	35	)	)	PUNCT
ap-7699	811	36	.	.	PUNCT
ap-7699	812	1	the	the	DET
ap-7699	812	2	significant	significant	ADJ
ap-7699	812	3	difference	difference	NOUN
ap-7699	812	4	between	between	ADP
ap-7699	812	5	the	the	DET
ap-7699	812	6	cases	case	NOUN
ap-7699	812	7	of	of	ADP
ap-7699	812	8	n	n	NOUN
ap-7699	812	9	=	=	SYM
ap-7699	812	10	0	0	NUM
ap-7699	812	11	and	and	CCONJ
ap-7699	812	12	n	n	CCONJ
ap-7699	812	13	⩾	⩾	NOUN
ap-7699	812	14	1	1	NUM
ap-7699	812	15	is	be	AUX
ap-7699	812	16	that	that	SCONJ
ap-7699	812	17	in	in	ADP
ap-7699	812	18	the	the	DET
ap-7699	812	19	former	former	ADJ
ap-7699	812	20	case	case	NOUN
ap-7699	812	21	the	the	DET
ap-7699	812	22	theory	theory	NOUN
ap-7699	812	23	with	with	ADP
ap-7699	812	24	θr	θr	NOUN
ap-7699	812	25	=	=	SYM
ap-7699	812	26	0	0	PUNCT
ap-7699	812	27	is	be	AUX
ap-7699	812	28	conformal	conformal	ADJ
ap-7699	812	29	on	on	ADP
ap-7699	812	30	the	the	DET
ap-7699	812	31	classical	classical	ADJ
ap-7699	812	32	tree	tree	NOUN
ap-7699	812	33	-	-	PUNCT
ap-7699	812	34	level	level	NOUN
ap-7699	812	35	as	as	ADV
ap-7699	812	36	well	well	ADV
ap-7699	812	37	as	as	ADP
ap-7699	812	38	on	on	ADP
ap-7699	812	39	the	the	DET
ap-7699	812	40	first	first	ADJ
ap-7699	812	41	quantum	quantum	ADJ
ap-7699	812	42	loop	loop	NOUN
ap-7699	812	43	,	,	PUNCT
ap-7699	812	44	since	since	SCONJ
ap-7699	812	45	we	we	PRON
ap-7699	812	46	know	know	VERB
ap-7699	812	47	that	that	SCONJ
ap-7699	812	48	weyl	weyl	VERB
ap-7699	812	49	conformal	conformal	ADJ
ap-7699	812	50	quantum	quantum	NOUN
ap-7699	812	51	gravity	gravity	NOUN
ap-7699	812	52	is	be	AUX
ap-7699	812	53	one	one	NUM
ap-7699	812	54	-	-	PUNCT
ap-7699	812	55	loop	loop	NOUN
ap-7699	812	56	renormalizable	renormalizable	NOUN
ap-7699	812	57	.	.	PUNCT
ap-7699	813	1	this	this	PRON
ap-7699	813	2	is	be	AUX
ap-7699	813	3	why	why	SCONJ
ap-7699	813	4	the	the	DET
ap-7699	813	5	pattern	pattern	NOUN
ap-7699	813	6	of	of	ADP
ap-7699	813	7	the	the	DET
ap-7699	813	8	x	x	NOUN
ap-7699	813	9	-	-	NOUN
ap-7699	813	10	dependence	dependence	NOUN
ap-7699	813	11	in	in	ADP
ap-7699	813	12	these	these	DET
ap-7699	813	13	two	two	NUM
ap-7699	813	14	cases	case	NOUN
ap-7699	813	15	is	be	AUX
ap-7699	813	16	diametrically	diametrically	ADV
ap-7699	813	17	different	different	ADJ
ap-7699	813	18	.	.	PUNCT
ap-7699	814	1	in	in	ADP
ap-7699	814	2	both	both	DET
ap-7699	814	3	these	these	DET
ap-7699	814	4	cases	case	NOUN
ap-7699	814	5	of	of	ADP
ap-7699	814	6	n	n	NOUN
ap-7699	814	7	=	=	SYM
ap-7699	814	8	0	0	NUM
ap-7699	814	9	and	and	CCONJ
ap-7699	814	10	n	n	PRON
ap-7699	814	11	̸=	̸=	PROPN
ap-7699	814	12	0	0	NUM
ap-7699	814	13	,	,	PUNCT
ap-7699	814	14	one	one	PRON
ap-7699	814	15	can	can	AUX
ap-7699	814	16	derive	derive	VERB
ap-7699	814	17	the	the	DET
ap-7699	814	18	general	general	ADJ
ap-7699	814	19	structure	structure	NOUN
ap-7699	814	20	of	of	ADP
ap-7699	814	21	beta	beta	ADJ
ap-7699	814	22	functions	function	NOUN
ap-7699	814	23	in	in	ADP
ap-7699	814	24	generic	generic	ADJ
ap-7699	814	25	hd	hd	NOUN
ap-7699	814	26	theory	theory	NOUN
ap-7699	814	27	with	with	ADP
ap-7699	814	28	any	any	DET
ap-7699	814	29	finite	finite	ADJ
ap-7699	814	30	value	value	NOUN
ap-7699	814	31	of	of	ADP
ap-7699	814	32	the	the	DET
ap-7699	814	33	fundamental	fundamental	ADJ
ap-7699	814	34	ratio	ratio	NOUN
ap-7699	814	35	x	x	SYM
ap-7699	814	36	(	(	PUNCT
ap-7699	814	37	x	x	X
ap-7699	814	38	̸=	̸=	PROPN
ap-7699	814	39	0	0	NUM
ap-7699	814	40	and	and	CCONJ
ap-7699	814	41	x	x	SYM
ap-7699	814	42	̸=	̸=	PROPN
ap-7699	814	43	∞	∞	NUM
ap-7699	814	44	)	)	PUNCT
ap-7699	814	45	by	by	ADP
ap-7699	814	46	just	just	ADV
ap-7699	814	47	analyzing	analyze	VERB
ap-7699	814	48	the	the	DET
ap-7699	814	49	limit	limit	NOUN
ap-7699	814	50	x	x	PUNCT
ap-7699	814	51	→	→	SYM
ap-7699	814	52	∞	∞	NUM
ap-7699	814	53	(	(	PUNCT
ap-7699	814	54	or	or	CCONJ
ap-7699	814	55	respectively	respectively	ADV
ap-7699	814	56	x4−der	x4−der	PUNCT
ap-7699	815	1	→	→	SYM
ap-7699	815	2	∞	∞	NUM
ap-7699	815	3	)	)	PUNCT
ap-7699	815	4	and	and	CCONJ
ap-7699	815	5	its	its	PRON
ap-7699	815	6	divergences	divergence	NOUN
ap-7699	815	7	which	which	PRON
ap-7699	815	8	should	should	AUX
ap-7699	815	9	or	or	CCONJ
ap-7699	815	10	should	should	AUX
ap-7699	815	11	not	not	PART
ap-7699	815	12	appear	appear	VERB
ap-7699	815	13	there	there	ADV
ap-7699	815	14	respectively	respectively	ADV
ap-7699	815	15	for	for	ADP
ap-7699	815	16	the	the	DET
ap-7699	815	17	cases	case	NOUN
ap-7699	815	18	of	of	ADP
ap-7699	815	19	n	n	PRON
ap-7699	815	20	̸=	̸=	PROPN
ap-7699	815	21	0	0	NUM
ap-7699	815	22	or	or	CCONJ
ap-7699	815	23	n	n	CCONJ
ap-7699	815	24	=	=	SYM
ap-7699	815	25	0	0	NUM
ap-7699	815	26	.	.	PUNCT
ap-7699	816	1	the	the	DET
ap-7699	816	2	inverse	inverse	ADJ
ap-7699	816	3	quadratic	quadratic	ADJ
ap-7699	816	4	dependence	dependence	NOUN
ap-7699	816	5	on	on	ADP
ap-7699	816	6	the	the	DET
ap-7699	816	7	ratio	ratio	NOUN
ap-7699	816	8	x4−der	x4−der	PUNCT
ap-7699	817	1	in	in	ADP
ap-7699	817	2	the	the	DET
ap-7699	817	3	case	case	NOUN
ap-7699	817	4	of	of	ADP
ap-7699	817	5	four	four	NUM
ap-7699	817	6	-	-	PUNCT
ap-7699	817	7	derivative	derivative	ADJ
ap-7699	817	8	stelle	stelle	NOUN
ap-7699	817	9	theory	theory	NOUN
ap-7699	817	10	can	can	AUX
ap-7699	817	11	be	be	AUX
ap-7699	817	12	easily	easily	ADV
ap-7699	817	13	understood	understand	VERB
ap-7699	817	14	as	as	ADV
ap-7699	817	15	well	well	ADV
ap-7699	817	16	.	.	PUNCT
ap-7699	818	1	it	it	PRON
ap-7699	818	2	is	be	AUX
ap-7699	818	3	up	up	ADP
ap-7699	818	4	to	to	ADP
ap-7699	818	5	the	the	DET
ap-7699	818	6	quadratic	quadratic	ADJ
ap-7699	818	7	order	order	NOUN
ap-7699	818	8	and	and	CCONJ
ap-7699	818	9	the	the	DET
ap-7699	818	10	same	same	ADJ
ap-7699	818	11	dependence	dependence	NOUN
ap-7699	818	12	we	we	PRON
ap-7699	818	13	would	would	AUX
ap-7699	818	14	expect	expect	VERB
ap-7699	818	15	in	in	ADP
ap-7699	818	16	the	the	DET
ap-7699	818	17	case	case	NOUN
ap-7699	818	18	of	of	ADP
ap-7699	818	19	six	six	NUM
ap-7699	818	20	-	-	PUNCT
ap-7699	818	21	derivative	derivative	ADJ
ap-7699	818	22	gravitational	gravitational	ADJ
ap-7699	818	23	theory	theory	NOUN
ap-7699	818	24	in	in	ADP
ap-7699	818	25	the	the	DET
ap-7699	818	26	c2	c2	PROPN
ap-7699	818	27	sector	sector	NOUN
ap-7699	818	28	of	of	ADP
ap-7699	818	29	uv	uv	NOUN
ap-7699	818	30	divergences	divergence	NOUN
ap-7699	818	31	.	.	PUNCT
ap-7699	819	1	however	however	ADV
ap-7699	819	2	,	,	PUNCT
ap-7699	819	3	there	there	ADV
ap-7699	819	4	as	as	ADP
ap-7699	819	5	a	a	DET
ap-7699	819	6	surprise	surprise	NOUN
ap-7699	819	7	we	we	PRON
ap-7699	819	8	find	find	VERB
ap-7699	819	9	only	only	ADV
ap-7699	819	10	up	up	ADP
ap-7699	819	11	to	to	PART
ap-7699	819	12	linear	linear	ADJ
ap-7699	819	13	dependence	dependence	NOUN
ap-7699	819	14	on	on	ADP
ap-7699	819	15	the	the	DET
ap-7699	819	16	fundamental	fundamental	ADJ
ap-7699	819	17	ratio	ratio	NOUN
ap-7699	819	18	x	x	PUNCT
ap-7699	819	19	and	and	CCONJ
ap-7699	819	20	only	only	ADV
ap-7699	819	21	in	in	ADP
ap-7699	819	22	one	one	NUM
ap-7699	819	23	distinguished	distinguished	ADJ
ap-7699	819	24	sector	sector	NOUN
ap-7699	819	25	of	of	ADP
ap-7699	819	26	c2	c2	PROPN
ap-7699	819	27	divergences	divergence	NOUN
ap-7699	819	28	.	.	PUNCT
ap-7699	820	1	in	in	ADP
ap-7699	820	2	general	general	ADJ
ap-7699	820	3	,	,	PUNCT
ap-7699	820	4	we	we	PRON
ap-7699	820	5	can	can	AUX
ap-7699	820	6	have	have	VERB
ap-7699	820	7	up	up	ADP
ap-7699	820	8	to	to	ADP
ap-7699	820	9	quadratic	quadratic	ADJ
ap-7699	820	10	dependence	dependence	NOUN
ap-7699	820	11	on	on	ADP
ap-7699	820	12	x	x	PUNCT
ap-7699	820	13	in	in	ADP
ap-7699	820	14	six	six	NUM
ap-7699	820	15	-	-	PUNCT
ap-7699	820	16	derivative	derivative	ADJ
ap-7699	820	17	models	model	NOUN
ap-7699	820	18	or	or	CCONJ
ap-7699	820	19	on	on	ADP
ap-7699	820	20	x−1	x−1	PROPN
ap-7699	820	21	4−der	4−der	NOUN
ap-7699	820	22	in	in	ADP
ap-7699	820	23	the	the	DET
ap-7699	820	24	stelle	stelle	NOUN
ap-7699	820	25	gravity	gravity	NOUN
ap-7699	820	26	case	case	NOUN
ap-7699	820	27	in	in	ADP
ap-7699	820	28	d	d	PROPN
ap-7699	820	29	=	=	SYM
ap-7699	820	30	4	4	NUM
ap-7699	820	31	spacetime	spacetime	NOUN
ap-7699	820	32	dimensions	dimension	NOUN
ap-7699	820	33	.	.	PUNCT
ap-7699	821	1	the	the	DET
ap-7699	821	2	uv	uv	NOUN
ap-7699	821	3	divergences	divergence	NOUN
ap-7699	821	4	of	of	ADP
ap-7699	821	5	some	some	DET
ap-7699	821	6	renormalizable	renormalizable	ADJ
ap-7699	821	7	hd	hd	NOUN
ap-7699	821	8	gravity	gravity	NOUN
ap-7699	821	9	models	model	NOUN
ap-7699	821	10	in	in	ADP
ap-7699	821	11	d	d	PROPN
ap-7699	821	12	=	=	SYM
ap-7699	821	13	4	4	NUM
ap-7699	821	14	spacetime	spacetime	NOUN
ap-7699	821	15	dimensions	dimension	NOUN
ap-7699	821	16	are	be	AUX
ap-7699	821	17	all	all	ADV
ap-7699	821	18	at	at	ADP
ap-7699	821	19	most	most	ADJ
ap-7699	821	20	quadratic	quadratic	ADJ
ap-7699	821	21	in	in	ADP
ap-7699	821	22	the	the	DET
ap-7699	821	23	general	general	ADJ
ap-7699	821	24	gravitational	gravitational	ADJ
ap-7699	821	25	curvature	curvature	NOUN
ap-7699	821	26	(	(	PUNCT
ap-7699	821	27	schematically	schematically	NOUN
ap-7699	821	28	they	they	PRON
ap-7699	821	29	are	be	AUX
ap-7699	821	30	r2	r2	NOUN
ap-7699	821	31	)	)	PUNCT
ap-7699	821	32	.	.	PUNCT
ap-7699	822	1	hence	hence	ADV
ap-7699	822	2	they	they	PRON
ap-7699	822	3	can	can	AUX
ap-7699	822	4	be	be	AUX
ap-7699	822	5	all	all	ADV
ap-7699	822	6	read	read	VERB
ap-7699	822	7	from	from	ADP
ap-7699	822	8	the	the	DET
ap-7699	822	9	one	one	NUM
ap-7699	822	10	-	-	PUNCT
ap-7699	822	11	loop	loop	NOUN
ap-7699	822	12	perturbative	perturbative	ADJ
ap-7699	822	13	quantum	quantum	ADJ
ap-7699	822	14	corrections	correction	NOUN
ap-7699	822	15	to	to	ADP
ap-7699	822	16	the	the	DET
ap-7699	822	17	two	two	NUM
ap-7699	822	18	-	-	PUNCT
ap-7699	822	19	point	point	NOUN
ap-7699	822	20	graviton	graviton	NOUN
ap-7699	822	21	green	green	ADJ
ap-7699	822	22	function	function	NOUN
ap-7699	822	23	,	,	PUNCT
ap-7699	822	24	so	so	ADV
ap-7699	822	25	equivalently	equivalently	ADV
ap-7699	822	26	from	from	ADP
ap-7699	822	27	the	the	DET
ap-7699	822	28	quantum	quantum	NOUN
ap-7699	822	29	dressed	dress	VERB
ap-7699	822	30	graviton	graviton	NOUN
ap-7699	822	31	’s	’s	PART
ap-7699	822	32	propagator	propagator	NOUN
ap-7699	822	33	around	around	ADP
ap-7699	822	34	flat	flat	ADJ
ap-7699	822	35	spacetime	spacetime	NOUN
ap-7699	822	36	background	background	NOUN
ap-7699	822	37	.	.	PUNCT
ap-7699	823	1	we	we	PRON
ap-7699	823	2	remind	remind	VERB
ap-7699	823	3	that	that	SCONJ
ap-7699	823	4	here	here	ADV
ap-7699	823	5	there	there	PRON
ap-7699	823	6	is	be	VERB
ap-7699	823	7	no	no	DET
ap-7699	823	8	quantum	quantum	ADJ
ap-7699	823	9	divergent	divergent	ADJ
ap-7699	823	10	renormalization	renormalization	NOUN
ap-7699	823	11	of	of	ADP
ap-7699	823	12	the	the	DET
ap-7699	823	13	graviton	graviton	NOUN
ap-7699	823	14	wave	wave	NOUN
ap-7699	823	15	function	function	NOUN
ap-7699	823	16	.	.	PUNCT
ap-7699	824	1	moreover	moreover	ADV
ap-7699	824	2	,	,	PUNCT
ap-7699	824	3	higher	high	ADJ
ap-7699	824	4	orders	order	NOUN
ap-7699	824	5	in	in	ADP
ap-7699	824	6	graviton	graviton	NOUN
ap-7699	824	7	fields	field	NOUN
ap-7699	824	8	(	(	PUNCT
ap-7699	824	9	appearing	appear	VERB
ap-7699	824	10	in	in	ADP
ap-7699	824	11	interaction	interaction	NOUN
ap-7699	824	12	vertices	vertex	NOUN
ap-7699	824	13	)	)	PUNCT
ap-7699	824	14	are	be	AUX
ap-7699	824	15	completely	completely	ADV
ap-7699	824	16	determined	determined	ADJ
ap-7699	824	17	here	here	ADV
ap-7699	824	18	due	due	ADP
ap-7699	824	19	to	to	ADP
ap-7699	824	20	the	the	DET
ap-7699	824	21	gauge	gauge	ADJ
ap-7699	824	22	invariance	invariance	NOUN
ap-7699	824	23	(	(	PUNCT
ap-7699	824	24	diffeomorphism	diffeomorphism	NOUN
ap-7699	824	25	)	)	PUNCT
ap-7699	824	26	present	present	ADJ
ap-7699	824	27	in	in	ADP
ap-7699	824	28	any	any	DET
ap-7699	824	29	qg	qg	PROPN
ap-7699	824	30	model	model	NOUN
ap-7699	824	31	,	,	PUNCT
ap-7699	824	32	so	so	SCONJ
ap-7699	824	33	we	we	PRON
ap-7699	824	34	can	can	AUX
ap-7699	824	35	concentrate	concentrate	VERB
ap-7699	824	36	below	below	ADP
ap-7699	824	37	only	only	ADV
ap-7699	824	38	on	on	ADP
ap-7699	824	39	these	these	DET
ap-7699	824	40	two	two	NUM
ap-7699	824	41	-	-	PUNCT
ap-7699	824	42	point	point	NOUN
ap-7699	824	43	green	green	ADJ
ap-7699	824	44	functions	function	NOUN
ap-7699	824	45	.	.	PUNCT
ap-7699	825	1	as	as	SCONJ
ap-7699	825	2	it	it	PRON
ap-7699	825	3	is	be	AUX
ap-7699	825	4	known	know	VERB
ap-7699	825	5	from	from	ADP
ap-7699	825	6	diagrammatics	diagrammatic	NOUN
ap-7699	825	7	,	,	PUNCT
ap-7699	825	8	here	here	ADV
ap-7699	825	9	the	the	DET
ap-7699	825	10	contributing	contribute	VERB
ap-7699	825	11	feynman	feynman	ADJ
ap-7699	825	12	diagrams	diagram	NOUN
ap-7699	825	13	may	may	AUX
ap-7699	825	14	have	have	VERB
ap-7699	825	15	either	either	CCONJ
ap-7699	825	16	one	one	NUM
ap-7699	825	17	propagator	propagator	NOUN
ap-7699	825	18	(	(	PUNCT
ap-7699	825	19	topology	topology	NOUN
ap-7699	825	20	of	of	ADP
ap-7699	825	21	the	the	DET
ap-7699	825	22	bubble	bubble	NOUN
ap-7699	825	23	attached	attach	VERB
ap-7699	825	24	to	to	ADP
ap-7699	825	25	the	the	DET
ap-7699	825	26	line	line	NOUN
ap-7699	825	27	)	)	PUNCT
ap-7699	825	28	or	or	CCONJ
ap-7699	825	29	two	two	NUM
ap-7699	825	30	propagators	propagator	NOUN
ap-7699	825	31	(	(	PUNCT
ap-7699	825	32	sunset	sunset	NOUN
ap-7699	825	33	diagrams	diagram	NOUN
ap-7699	825	34	)	)	PUNCT
ap-7699	825	35	at	at	ADP
ap-7699	825	36	the	the	DET
ap-7699	825	37	one	one	NUM
ap-7699	825	38	-	-	PUNCT
ap-7699	825	39	loop	loop	NOUN
ap-7699	825	40	order	order	NOUN
ap-7699	825	41	and	and	CCONJ
ap-7699	825	42	for	for	ADP
ap-7699	825	43	corrections	correction	NOUN
ap-7699	825	44	to	to	ADP
ap-7699	825	45	the	the	DET
ap-7699	825	46	two	two	NUM
ap-7699	825	47	-	-	PUNCT
ap-7699	825	48	point	point	NOUN
ap-7699	825	49	function	function	NOUN
ap-7699	825	50	.	.	PUNCT
ap-7699	826	1	in	in	ADP
ap-7699	826	2	the	the	DET
ap-7699	826	3	most	most	ADV
ap-7699	826	4	difficult	difficult	ADJ
ap-7699	826	5	case	case	NOUN
ap-7699	826	6	,	,	PUNCT
ap-7699	826	7	there	there	PRON
ap-7699	826	8	are	be	VERB
ap-7699	826	9	here	here	ADV
ap-7699	826	10	two	two	NUM
ap-7699	826	11	perturbative	perturbative	ADJ
ap-7699	826	12	propagators	propagator	NOUN
ap-7699	826	13	.	.	PUNCT
ap-7699	827	1	since	since	SCONJ
ap-7699	827	2	in	in	ADP
ap-7699	827	3	our	our	PRON
ap-7699	827	4	higher	high	ADJ
ap-7699	827	5	-	-	PUNCT
ap-7699	827	6	derivative	derivative	ADJ
ap-7699	827	7	theory	theory	NOUN
ap-7699	827	8	we	we	PRON
ap-7699	827	9	have	have	VERB
ap-7699	827	10	two	two	NUM
ap-7699	827	11	leading	lead	VERB
ap-7699	827	12	terms	term	NOUN
ap-7699	827	13	shaping	shape	VERB
ap-7699	827	14	the	the	DET
ap-7699	827	15	uv	uv	NOUN
ap-7699	827	16	form	form	NOUN
ap-7699	827	17	of	of	ADP
ap-7699	827	18	the	the	DET
ap-7699	827	19	graviton	graviton	NOUN
ap-7699	827	20	’s	’s	PART
ap-7699	827	21	propagator	propagator	NOUN
ap-7699	827	22	,	,	PUNCT
ap-7699	827	23	namely	namely	ADV
ap-7699	827	24	the	the	DET
ap-7699	827	25	terms	term	NOUN
ap-7699	827	26	ωcc	ωcc	PROPN
ap-7699	827	27	□	□	PROPN
ap-7699	827	28	c	c	NOUN
ap-7699	827	29	and	and	CCONJ
ap-7699	827	30	ωrr	ωrr	ADJ
ap-7699	827	31	□	□	SYM
ap-7699	827	32	r	r	NOUN
ap-7699	827	33	,	,	PUNCT
ap-7699	827	34	then	then	ADV
ap-7699	827	35	the	the	DET
ap-7699	827	36	corresponding	corresponding	ADJ
ap-7699	827	37	propagator	propagator	NOUN
ap-7699	827	38	may	may	AUX
ap-7699	827	39	be	be	AUX
ap-7699	827	40	either	either	CCONJ
ap-7699	827	41	with	with	ADP
ap-7699	827	42	the	the	DET
ap-7699	827	43	front	front	ADJ
ap-7699	827	44	coefficient	coefficient	NOUN
ap-7699	827	45	ω−1	ω−1	PROPN
ap-7699	827	46	c	c	NOUN
ap-7699	827	47	or	or	CCONJ
ap-7699	827	48	ω−1	ω−1	PROPN
ap-7699	827	49	r	r	NOUN
ap-7699	827	50	respectively	respectively	ADV
ap-7699	827	51	as	as	ADP
ap-7699	827	52	the	the	DET
ap-7699	827	53	leading	lead	VERB
ap-7699	827	54	term	term	NOUN
ap-7699	827	55	.	.	PUNCT
ap-7699	828	1	to	to	PART
ap-7699	828	2	change	change	VERB
ap-7699	828	3	between	between	ADP
ap-7699	828	4	the	the	DET
ap-7699	828	5	two	two	NUM
ap-7699	828	6	expansions	expansion	NOUN
ap-7699	828	7	(	(	PUNCT
ap-7699	828	8	in	in	ADP
ap-7699	828	9	ωc	ωc	INTJ
ap-7699	828	10	or	or	CCONJ
ap-7699	828	11	in	in	ADP
ap-7699	828	12	ωr	ωr	ADJ
ap-7699	828	13	)	)	PUNCT
ap-7699	828	14	one	one	PRON
ap-7699	828	15	needs	need	VERB
ap-7699	828	16	to	to	PART
ap-7699	828	17	use	use	VERB
ap-7699	828	18	one	one	NUM
ap-7699	828	19	power	power	NOUN
ap-7699	828	20	of	of	ADP
ap-7699	828	21	the	the	DET
ap-7699	828	22	ratio	ratio	NOUN
ap-7699	828	23	x.	x.	NOUN
ap-7699	828	24	since	since	SCONJ
ap-7699	828	25	we	we	PRON
ap-7699	828	26	have	have	VERB
ap-7699	828	27	two	two	NUM
ap-7699	828	28	such	such	ADJ
ap-7699	828	29	propagators	propagator	NOUN
ap-7699	828	30	in	in	ADP
ap-7699	828	31	the	the	DET
ap-7699	828	32	one	one	NUM
ap-7699	828	33	-	-	PUNCT
ap-7699	828	34	loop	loop	NOUN
ap-7699	828	35	diagrams	diagram	NOUN
ap-7699	828	36	considered	consider	VERB
ap-7699	828	37	here	here	ADV
ap-7699	828	38	,	,	PUNCT
ap-7699	828	39	then	then	ADV
ap-7699	828	40	dependence	dependence	NOUN
ap-7699	828	41	is	be	AUX
ap-7699	828	42	up	up	ADP
ap-7699	828	43	to	to	ADP
ap-7699	828	44	the	the	DET
ap-7699	828	45	quadratic	quadratic	ADJ
ap-7699	828	46	power	power	NOUN
ap-7699	828	47	in	in	ADP
ap-7699	828	48	x.	x.	NOUN
ap-7699	828	49	sometimes	sometimes	ADV
ap-7699	828	50	we	we	PRON
ap-7699	828	51	need	need	VERB
ap-7699	828	52	to	to	PART
ap-7699	828	53	change	change	VERB
ap-7699	828	54	back	back	ADV
ap-7699	828	55	from	from	ADP
ap-7699	828	56	ωc	ωc	PRON
ap-7699	828	57	to	to	PART
ap-7699	828	58	ωr	ωr	VERB
ap-7699	828	59	as	as	ADP
ap-7699	828	60	the	the	DET
ap-7699	828	61	leading	leading	ADJ
ap-7699	828	62	coefficient	coefficient	NOUN
ap-7699	828	63	of	of	ADP
ap-7699	828	64	the	the	DET
ap-7699	828	65	tree	tree	NOUN
ap-7699	828	66	-	-	PUNCT
ap-7699	828	67	level	level	NOUN
ap-7699	828	68	propagator	propagator	NOUN
ap-7699	828	69	,	,	PUNCT
ap-7699	828	70	and	and	CCONJ
ap-7699	828	71	then	then	ADV
ap-7699	828	72	we	we	PRON
ap-7699	828	73	need	need	VERB
ap-7699	828	74	to	to	PART
ap-7699	828	75	multiply	multiply	VERB
ap-7699	828	76	by	by	ADP
ap-7699	828	77	inverse	inverse	ADJ
ap-7699	828	78	powers	power	NOUN
ap-7699	828	79	of	of	ADP
ap-7699	828	80	the	the	DET
ap-7699	828	81	ratio	ratio	NOUN
ap-7699	828	82	x.	x.	NOUN
ap-7699	829	1	the	the	DET
ap-7699	829	2	quadratic	quadratic	ADJ
ap-7699	829	3	dependence	dependence	NOUN
ap-7699	829	4	is	be	AUX
ap-7699	829	5	what	what	PRON
ap-7699	829	6	we	we	PRON
ap-7699	829	7	can	can	AUX
ap-7699	829	8	have	have	VERB
ap-7699	829	9	here	here	ADV
ap-7699	829	10	in	in	ADP
ap-7699	829	11	the	the	DET
ap-7699	829	12	most	most	ADV
ap-7699	829	13	complicated	complicated	ADJ
ap-7699	829	14	case	case	NOUN
ap-7699	829	15	,	,	PUNCT
ap-7699	829	16	which	which	PRON
ap-7699	829	17	is	be	AUX
ap-7699	829	18	actually	actually	ADV
ap-7699	829	19	realized	realize	VERB
ap-7699	829	20	in	in	ADP
ap-7699	829	21	stelle	stelle	PROPN
ap-7699	829	22	generic	generic	ADJ
ap-7699	829	23	theory	theory	NOUN
ap-7699	829	24	with	with	ADP
ap-7699	829	25	both	both	PRON
ap-7699	829	26	θc	θc	NOUN
ap-7699	829	27	̸=	̸=	PROPN
ap-7699	829	28	0	0	NUM
ap-7699	829	29	and	and	CCONJ
ap-7699	829	30	θr	θr	DET
ap-7699	829	31	̸=	̸=	PROPN
ap-7699	829	32	0	0	NUM
ap-7699	829	33	.	.	PUNCT
ap-7699	830	1	(	(	PUNCT
ap-7699	830	2	the	the	DET
ap-7699	830	3	argumentation	argumentation	NOUN
ap-7699	830	4	above	above	ADV
ap-7699	830	5	can	can	AUX
ap-7699	830	6	be	be	AUX
ap-7699	830	7	repeated	repeat	VERB
ap-7699	830	8	very	very	ADV
ap-7699	830	9	similarly	similarly	ADV
ap-7699	830	10	for	for	ADP
ap-7699	830	11	quadratic	quadratic	ADJ
ap-7699	830	12	gravity	gravity	NOUN
ap-7699	830	13	in	in	ADP
ap-7699	830	14	d	d	PROPN
ap-7699	830	15	=	=	SYM
ap-7699	830	16	4	4	NUM
ap-7699	830	17	forgetting	forget	VERB
ap-7699	830	18	about	about	ADP
ap-7699	830	19	one	one	NUM
ap-7699	830	20	power	power	NOUN
ap-7699	830	21	of	of	ADP
ap-7699	830	22	box	box	NOUN
ap-7699	830	23	operator	operator	NOUN
ap-7699	830	24	□	□	PUNCT
ap-7699	830	25	and	and	CCONJ
ap-7699	830	26	changing	change	VERB
ap-7699	830	27	corresponding	correspond	VERB
ap-7699	830	28	omega	omega	NOUN
ap-7699	830	29	coefficients	coefficient	NOUN
ap-7699	830	30	to	to	ADP
ap-7699	830	31	theta	theta	NOUN
ap-7699	830	32	coefficients	coefficient	NOUN
ap-7699	830	33	and	and	CCONJ
ap-7699	830	34	x	x	X
ap-7699	830	35	to	to	ADP
ap-7699	830	36	x4−der	x4−der	PROPN
ap-7699	830	37	.	.	PUNCT
ap-7699	830	38	)	)	PUNCT
ap-7699	831	1	apparently	apparently	ADV
ap-7699	831	2	,	,	PUNCT
ap-7699	831	3	in	in	ADP
ap-7699	831	4	the	the	DET
ap-7699	831	5	case	case	NOUN
ap-7699	831	6	of	of	ADP
ap-7699	831	7	six	six	NUM
ap-7699	831	8	-	-	PUNCT
ap-7699	831	9	derivative	derivative	ADJ
ap-7699	831	10	gravitational	gravitational	ADJ
ap-7699	831	11	theories	theory	NOUN
ap-7699	831	12	there	there	PRON
ap-7699	831	13	is	be	VERB
ap-7699	831	14	some	some	PRON
ap-7699	831	15	,	,	PUNCT
ap-7699	831	16	for	for	ADP
ap-7699	831	17	the	the	DET
ap-7699	831	18	moment	moment	NOUN
ap-7699	831	19	,	,	PUNCT
ap-7699	831	20	unexplained	unexplained	ADJ
ap-7699	831	21	cancellation	cancellation	NOUN
ap-7699	831	22	,	,	PUNCT
ap-7699	831	23	and	and	CCONJ
ap-7699	831	24	we	we	PRON
ap-7699	831	25	see	see	VERB
ap-7699	831	26	there	there	ADV
ap-7699	831	27	only	only	ADV
ap-7699	831	28	the	the	DET
ap-7699	831	29	dependence	dependence	NOUN
ap-7699	831	30	up	up	ADP
ap-7699	831	31	to	to	ADP
ap-7699	831	32	the	the	DET
ap-7699	831	33	first	first	ADJ
ap-7699	831	34	power	power	NOUN
ap-7699	831	35	on	on	ADP
ap-7699	831	36	the	the	DET
ap-7699	831	37	ratio	ratio	NOUN
ap-7699	831	38	x	x	PUNCT
ap-7699	831	39	of	of	ADP
ap-7699	831	40	that	that	DET
ap-7699	831	41	theory	theory	NOUN
ap-7699	831	42	.	.	PUNCT
ap-7699	832	1	one	one	PRON
ap-7699	832	2	should	should	AUX
ap-7699	832	3	acknowledge	acknowledge	VERB
ap-7699	832	4	here	here	ADV
ap-7699	832	5	the	the	DET
ap-7699	832	6	speciality	speciality	NOUN
ap-7699	832	7	of	of	ADP
ap-7699	832	8	the	the	DET
ap-7699	832	9	case	case	NOUN
ap-7699	832	10	of	of	ADP
ap-7699	832	11	d	d	PROPN
ap-7699	832	12	=	=	SYM
ap-7699	832	13	4	4	NUM
ap-7699	832	14	and	and	CCONJ
ap-7699	832	15	one	one	NUM
ap-7699	832	16	-	-	PUNCT
ap-7699	832	17	loop	loop	NOUN
ap-7699	832	18	type	type	NOUN
ap-7699	832	19	of	of	ADP
ap-7699	832	20	computation	computation	NOUN
ap-7699	832	21	.	.	PUNCT
ap-7699	833	1	for	for	ADP
ap-7699	833	2	higher	high	ADJ
ap-7699	833	3	loop	loop	NOUN
ap-7699	833	4	orders	order	NOUN
ap-7699	833	5	the	the	DET
ap-7699	833	6	powers	power	NOUN
ap-7699	833	7	of	of	ADP
ap-7699	833	8	the	the	DET
ap-7699	833	9	x	x	NOUN
ap-7699	833	10	ratio	ratio	NOUN
ap-7699	833	11	may	may	AUX
ap-7699	833	12	appear	appear	VERB
ap-7699	833	13	higher	high	ADJ
ap-7699	833	14	in	in	ADP
ap-7699	833	15	the	the	DET
ap-7699	833	16	final	final	ADJ
ap-7699	833	17	expressions	expression	NOUN
ap-7699	833	18	for	for	ADP
ap-7699	833	19	uv	uv	NOUN
ap-7699	833	20	divergences	divergence	NOUN
ap-7699	833	21	of	of	ADP
ap-7699	833	22	the	the	DET
ap-7699	833	23	theory	theory	NOUN
ap-7699	833	24	.	.	PUNCT
ap-7699	834	1	similarly	similarly	ADV
ap-7699	834	2	,	,	PUNCT
ap-7699	834	3	if	if	SCONJ
ap-7699	834	4	one	one	PRON
ap-7699	834	5	goes	go	VERB
ap-7699	834	6	to	to	ADP
ap-7699	834	7	higher	high	ADJ
ap-7699	834	8	dimensional	dimensional	ADJ
ap-7699	834	9	qg	qg	PROPN
ap-7699	834	10	models	model	NOUN
ap-7699	834	11	,	,	PUNCT
ap-7699	834	12	then	then	ADV
ap-7699	834	13	even	even	ADV
ap-7699	834	14	in	in	ADP
ap-7699	834	15	renormalizable	renormalizable	ADJ
ap-7699	834	16	models	model	NOUN
ap-7699	834	17	at	at	ADP
ap-7699	834	18	the	the	DET
ap-7699	834	19	one	one	NUM
ap-7699	834	20	-	-	PUNCT
ap-7699	834	21	loop	loop	NOUN
ap-7699	834	22	level	level	NOUN
ap-7699	834	23	,	,	PUNCT
ap-7699	834	24	one	one	PRON
ap-7699	834	25	needs	need	VERB
ap-7699	834	26	to	to	PART
ap-7699	834	27	compute	compute	VERB
ap-7699	834	28	higher	high	ADJ
ap-7699	834	29	140	140	NUM
ap-7699	834	30	vol	vol	NOUN
ap-7699	834	31	.	.	PUNCT
ap-7699	835	1	62	62	NUM
ap-7699	835	2	no	no	INTJ
ap-7699	835	3	.	.	PUNCT
ap-7699	836	1	1/2022	1/2022	NUM
ap-7699	836	2	beta	beta	NOUN
ap-7699	836	3	functions	function	NOUN
ap-7699	836	4	in	in	ADP
ap-7699	836	5	six	six	NUM
ap-7699	836	6	-	-	PUNCT
ap-7699	836	7	derivative	derivative	ADJ
ap-7699	836	8	quantum	quantum	NOUN
ap-7699	836	9	gravity	gravity	NOUN
ap-7699	836	10	n	n	CCONJ
ap-7699	836	11	-	-	PUNCT
ap-7699	836	12	point	point	NOUN
ap-7699	836	13	green	green	ADJ
ap-7699	836	14	function	function	NOUN
ap-7699	836	15	.	.	PUNCT
ap-7699	837	1	this	this	PRON
ap-7699	837	2	is	be	AUX
ap-7699	837	3	because	because	SCONJ
ap-7699	837	4	in	in	ADP
ap-7699	837	5	even	even	ADV
ap-7699	837	6	dimension	dimension	NOUN
ap-7699	837	7	d	d	ADP
ap-7699	837	8	one	one	NUM
ap-7699	837	9	needs	need	VERB
ap-7699	837	10	in	in	ADP
ap-7699	837	11	renormalizable	renormalizable	ADJ
ap-7699	837	12	theory	theory	NOUN
ap-7699	837	13	not	not	PART
ap-7699	837	14	only	only	ADV
ap-7699	837	15	to	to	PART
ap-7699	837	16	renormalize	renormalize	VERB
ap-7699	837	17	terms	term	NOUN
ap-7699	837	18	of	of	ADP
ap-7699	837	19	the	the	DET
ap-7699	837	20	type	type	NOUN
ap-7699	837	21	r	r	NOUN
ap-7699	837	22	□	□	PUNCT
ap-7699	837	23	(d−4)/2r	(d−4)/2r	PROPN
ap-7699	837	24	but	but	CCONJ
ap-7699	837	25	also	also	ADV
ap-7699	837	26	others	other	NOUN
ap-7699	837	27	with	with	ADP
ap-7699	837	28	more	more	ADJ
ap-7699	837	29	curvatures	curvature	NOUN
ap-7699	837	30	(	(	PUNCT
ap-7699	837	31	and	and	CCONJ
ap-7699	837	32	correspondingly	correspondingly	ADV
ap-7699	837	33	less	less	ADJ
ap-7699	837	34	powers	power	NOUN
ap-7699	837	35	of	of	ADP
ap-7699	837	36	covariant	covariant	ADJ
ap-7699	837	37	derivatives	derivative	NOUN
ap-7699	837	38	)	)	PUNCT
ap-7699	837	39	down	down	ADP
ap-7699	837	40	to	to	ADP
ap-7699	837	41	the	the	DET
ap-7699	837	42	term	term	NOUN
ap-7699	837	43	of	of	ADP
ap-7699	837	44	the	the	DET
ap-7699	837	45	type	type	NOUN
ap-7699	837	46	rd/2	rd/2	NOUN
ap-7699	837	47	,	,	PUNCT
ap-7699	837	48	where	where	SCONJ
ap-7699	837	49	we	we	PRON
ap-7699	837	50	do	do	AUX
ap-7699	837	51	not	not	PART
ap-7699	837	52	find	find	VERB
ap-7699	837	53	covariant	covariant	ADJ
ap-7699	837	54	derivatives	derivative	NOUN
ap-7699	837	55	acting	act	VERB
ap-7699	837	56	on	on	ADP
ap-7699	837	57	curvature	curvature	NOUN
ap-7699	837	58	at	at	ADV
ap-7699	837	59	all	all	ADV
ap-7699	837	60	.	.	PUNCT
ap-7699	838	1	in	in	ADP
ap-7699	838	2	the	the	DET
ap-7699	838	3	middle	middle	NOUN
ap-7699	838	4	,	,	PUNCT
ap-7699	838	5	the	the	DET
ap-7699	838	6	general	general	ADJ
ap-7699	838	7	terms	term	NOUN
ap-7699	838	8	can	can	AUX
ap-7699	838	9	be	be	AUX
ap-7699	838	10	schematically	schematically	ADV
ap-7699	838	11	parametrized	parametrize	VERB
ap-7699	838	12	as	as	ADP
ap-7699	838	13	∇d−2iri	∇d−2iri	PROPN
ap-7699	838	14	for	for	ADP
ap-7699	838	15	i	i	PROPN
ap-7699	838	16	=	=	NOUN
ap-7699	838	17	2	2	NUM
ap-7699	838	18	,	,	PUNCT
ap-7699	838	19	.	.	PUNCT
ap-7699	838	20	.	.	PUNCT
ap-7699	839	1	.	.	PUNCT
ap-7699	840	1	,	,	PUNCT
ap-7699	840	2	d	d	NOUN
ap-7699	840	3	2	2	NUM
ap-7699	840	4	–	–	PUNCT
ap-7699	840	5	all	all	DET
ap-7699	840	6	these	these	DET
ap-7699	840	7	terms	term	NOUN
ap-7699	840	8	have	have	VERB
ap-7699	840	9	the	the	DET
ap-7699	840	10	energy	energy	NOUN
ap-7699	840	11	dimensionality	dimensionality	NOUN
ap-7699	840	12	equal	equal	ADJ
ap-7699	840	13	to	to	ADP
ap-7699	840	14	the	the	DET
ap-7699	840	15	dimensionality	dimensionality	NOUN
ap-7699	840	16	of	of	ADP
ap-7699	840	17	spacetime	spacetime	PROPN
ap-7699	840	18	d.	d.	PROPN
ap-7699	840	19	for	for	ADP
ap-7699	840	20	the	the	DET
ap-7699	840	21	last	last	ADJ
ap-7699	840	22	term	term	NOUN
ap-7699	840	23	of	of	ADP
ap-7699	840	24	the	the	DET
ap-7699	840	25	type	type	NOUN
ap-7699	840	26	rd/2	rd/2	VERB
ap-7699	840	27	one	one	NUM
ap-7699	840	28	needs	need	VERB
ap-7699	840	29	to	to	PART
ap-7699	840	30	look	look	VERB
ap-7699	840	31	at	at	ADP
ap-7699	840	32	the	the	DET
ap-7699	840	33	quantum	quantum	NOUN
ap-7699	840	34	dressed	dress	VERB
ap-7699	840	35	n	n	NOUN
ap-7699	840	36	=	=	SYM
ap-7699	840	37	d	d	SYM
ap-7699	840	38	2	2	NUM
ap-7699	840	39	point	point	NOUN
ap-7699	840	40	function	function	NOUN
ap-7699	840	41	at	at	ADP
ap-7699	840	42	the	the	DET
ap-7699	840	43	one	one	NUM
ap-7699	840	44	-	-	PUNCT
ap-7699	840	45	loop	loop	NOUN
ap-7699	840	46	order	order	NOUN
ap-7699	840	47	.	.	PUNCT
ap-7699	841	1	in	in	ADP
ap-7699	841	2	conclusion	conclusion	NOUN
ap-7699	841	3	,	,	PUNCT
ap-7699	841	4	in	in	ADP
ap-7699	841	5	higher	high	ADJ
ap-7699	841	6	dimensions	dimension	NOUN
ap-7699	841	7	one	one	PRON
ap-7699	841	8	should	should	AUX
ap-7699	841	9	consider	consider	VERB
ap-7699	841	10	not	not	PART
ap-7699	841	11	only	only	ADV
ap-7699	841	12	two	two	NUM
ap-7699	841	13	-	-	PUNCT
ap-7699	841	14	point	point	NOUN
ap-7699	841	15	functions	function	NOUN
ap-7699	841	16	with	with	ADP
ap-7699	841	17	one	one	NUM
ap-7699	841	18	-	-	PUNCT
ap-7699	841	19	loop	loop	NOUN
ap-7699	841	20	diagrams	diagram	NOUN
ap-7699	841	21	with	with	ADP
ap-7699	841	22	the	the	DET
ap-7699	841	23	two	two	NUM
ap-7699	841	24	topologies	topology	NOUN
ap-7699	841	25	described	describe	VERB
ap-7699	841	26	above	above	ADV
ap-7699	841	27	,	,	PUNCT
ap-7699	841	28	but	but	CCONJ
ap-7699	841	29	up	up	ADP
ap-7699	841	30	to	to	ADP
ap-7699	841	31	quantum	quantum	NOUN
ap-7699	841	32	dressed	dress	VERB
ap-7699	841	33	d	d	PROPN
ap-7699	841	34	2	2	NUM
ap-7699	841	35	-point	-point	NOUN
ap-7699	841	36	functions	function	NOUN
ap-7699	841	37	.	.	PUNCT
ap-7699	842	1	and	and	CCONJ
ap-7699	842	2	even	even	ADV
ap-7699	842	3	for	for	ADP
ap-7699	842	4	one	one	NUM
ap-7699	842	5	-	-	PUNCT
ap-7699	842	6	loop	loop	NOUN
ap-7699	842	7	perturbative	perturbative	ADJ
ap-7699	842	8	level	level	NOUN
ap-7699	842	9	these	these	DET
ap-7699	842	10	additional	additional	ADJ
ap-7699	842	11	diagrams	diagram	NOUN
ap-7699	842	12	may	may	AUX
ap-7699	842	13	have	have	VERB
ap-7699	842	14	more	more	ADV
ap-7699	842	15	complicated	complicated	ADJ
ap-7699	842	16	topology	topology	NOUN
ap-7699	842	17	meaning	mean	VERB
ap-7699	842	18	more	more	ADJ
ap-7699	842	19	vertices	vertex	NOUN
ap-7699	842	20	and	and	CCONJ
ap-7699	842	21	more	more	ADJ
ap-7699	842	22	propagators	propagator	NOUN
ap-7699	842	23	and	and	CCONJ
ap-7699	842	24	this	this	PRON
ap-7699	842	25	means	mean	VERB
ap-7699	842	26	that	that	SCONJ
ap-7699	842	27	also	also	ADV
ap-7699	842	28	powers	power	NOUN
ap-7699	842	29	of	of	ADP
ap-7699	842	30	the	the	DET
ap-7699	842	31	ratio	ratio	NOUN
ap-7699	842	32	x	x	PUNCT
ap-7699	842	33	or	or	CCONJ
ap-7699	842	34	x−1	x−1	PROPN
ap-7699	842	35	respectively	respectively	ADV
ap-7699	842	36	will	will	AUX
ap-7699	842	37	be	be	AUX
ap-7699	842	38	higher	high	ADJ
ap-7699	842	39	and	and	CCONJ
ap-7699	842	40	higher	high	ADJ
ap-7699	842	41	.	.	PUNCT
ap-7699	843	1	they	they	PRON
ap-7699	843	2	are	be	AUX
ap-7699	843	3	expected	expect	VERB
ap-7699	843	4	to	to	PART
ap-7699	843	5	be	be	AUX
ap-7699	843	6	up	up	ADP
ap-7699	843	7	to	to	ADP
ap-7699	843	8	the	the	DET
ap-7699	843	9	upper	upper	ADJ
ap-7699	843	10	bound	bind	VERB
ap-7699	843	11	given	give	VERB
ap-7699	843	12	by	by	ADP
ap-7699	843	13	the	the	DET
ap-7699	843	14	maximal	maximal	ADJ
ap-7699	843	15	power	power	NOUN
ap-7699	843	16	exponent	exponent	NOUN
ap-7699	843	17	equal	equal	ADJ
ap-7699	843	18	to	to	ADP
ap-7699	843	19	d	d	PROPN
ap-7699	843	20	2	2	NUM
ap-7699	843	21	–	–	PUNCT
ap-7699	843	22	this	this	PRON
ap-7699	843	23	can	can	AUX
ap-7699	843	24	be	be	AUX
ap-7699	843	25	derived	derive	VERB
ap-7699	843	26	from	from	ADP
ap-7699	843	27	the	the	DET
ap-7699	843	28	expression	expression	NOUN
ap-7699	843	29	of	of	ADP
ap-7699	843	30	quantum	quantum	NOUN
ap-7699	843	31	dressed	dress	VERB
ap-7699	843	32	d	d	PROPN
ap-7699	843	33	2	2	NUM
ap-7699	843	34	-point	-point	NOUN
ap-7699	843	35	function	function	NOUN
ap-7699	843	36	,	,	PUNCT
ap-7699	843	37	which	which	PRON
ap-7699	843	38	is	be	AUX
ap-7699	843	39	built	build	VERB
ap-7699	843	40	exactly	exactly	ADV
ap-7699	843	41	with	with	ADP
ap-7699	843	42	d	d	PROPN
ap-7699	843	43	2	2	NUM
ap-7699	843	44	propagators	propagator	NOUN
ap-7699	843	45	joining	join	VERB
ap-7699	843	46	precisely	precisely	ADV
ap-7699	843	47	d	d	ADP
ap-7699	843	48	2	2	NUM
ap-7699	843	49	3	3	NUM
ap-7699	843	50	-	-	PUNCT
ap-7699	843	51	leg	leg	NOUN
ap-7699	843	52	the	the	DET
ap-7699	843	53	same	same	ADJ
ap-7699	843	54	perturbative	perturbative	ADJ
ap-7699	843	55	vertices	vertex	NOUN
ap-7699	843	56	.	.	PUNCT
ap-7699	844	1	then	then	ADV
ap-7699	844	2	the	the	DET
ap-7699	844	3	topology	topology	NOUN
ap-7699	844	4	of	of	ADP
ap-7699	844	5	such	such	DET
ap-7699	844	6	a	a	DET
ap-7699	844	7	diagram	diagram	NOUN
ap-7699	844	8	is	be	AUX
ap-7699	844	9	this	this	DET
ap-7699	844	10	one	one	NUM
ap-7699	844	11	of	of	ADP
ap-7699	844	12	the	the	DET
ap-7699	844	13	main	main	ADJ
ap-7699	844	14	one	one	NUM
ap-7699	844	15	-	-	PUNCT
ap-7699	844	16	loop	loop	NOUN
ap-7699	844	17	ring	ring	NOUN
ap-7699	844	18	and	and	CCONJ
ap-7699	844	19	d	d	NOUN
ap-7699	844	20	2	2	NUM
ap-7699	844	21	external	external	ADJ
ap-7699	844	22	legs	leg	NOUN
ap-7699	844	23	attached	attach	VERB
ap-7699	844	24	to	to	ADP
ap-7699	844	25	it	it	PRON
ap-7699	844	26	,	,	PUNCT
ap-7699	844	27	with	with	ADP
ap-7699	844	28	each	each	DET
ap-7699	844	29	one	one	NOUN
ap-7699	844	30	separately	separately	ADV
ap-7699	844	31	and	and	CCONJ
ap-7699	844	32	each	each	DET
ap-7699	844	33	one	one	NOUN
ap-7699	844	34	emanating	emanate	VERB
ap-7699	844	35	from	from	ADP
ap-7699	844	36	one	one	NUM
ap-7699	844	37	single	single	ADJ
ap-7699	844	38	3	3	NUM
ap-7699	844	39	-	-	PUNCT
ap-7699	844	40	leg	leg	NOUN
ap-7699	844	41	vertex	vertex	NOUN
ap-7699	844	42	.	.	PUNCT
ap-7699	845	1	again	again	ADV
ap-7699	845	2	the	the	DET
ap-7699	845	3	situation	situation	NOUN
ap-7699	845	4	at	at	ADP
ap-7699	845	5	the	the	DET
ap-7699	845	6	one	one	NUM
ap-7699	845	7	-	-	PUNCT
ap-7699	845	8	loop	loop	NOUN
ap-7699	845	9	and	and	CCONJ
ap-7699	845	10	in	in	ADP
ap-7699	845	11	d	d	NOUN
ap-7699	845	12	=	=	SYM
ap-7699	845	13	4	4	NUM
ap-7699	845	14	is	be	AUX
ap-7699	845	15	quite	quite	ADV
ap-7699	845	16	special	special	ADJ
ap-7699	845	17	and	and	CCONJ
ap-7699	845	18	simple	simple	ADJ
ap-7699	845	19	since	since	SCONJ
ap-7699	845	20	the	the	DET
ap-7699	845	21	ratio	ratio	NOUN
ap-7699	845	22	x	x	PUNCT
ap-7699	845	23	appears	appear	VERB
ap-7699	845	24	here	here	ADV
ap-7699	845	25	only	only	ADV
ap-7699	845	26	up	up	ADP
ap-7699	845	27	to	to	ADP
ap-7699	845	28	the	the	DET
ap-7699	845	29	maximal	maximal	ADJ
ap-7699	845	30	power	power	NOUN
ap-7699	845	31	exponent	exponent	NOUN
ap-7699	845	32	given	give	VERB
ap-7699	845	33	by	by	ADP
ap-7699	845	34	d	d	PROPN
ap-7699	845	35	2	2	NUM
ap-7699	845	36	=	=	SYM
ap-7699	845	37	2	2	NUM
ap-7699	845	38	.	.	PUNCT
ap-7699	845	39	as	as	ADP
ap-7699	845	40	a	a	DET
ap-7699	845	41	side	side	NOUN
ap-7699	845	42	result	result	NOUN
ap-7699	845	43	,	,	PUNCT
ap-7699	845	44	one	one	PRON
ap-7699	845	45	also	also	ADV
ap-7699	845	46	sees	see	VERB
ap-7699	845	47	that	that	SCONJ
ap-7699	845	48	the	the	DET
ap-7699	845	49	situation	situation	NOUN
ap-7699	845	50	in	in	ADP
ap-7699	845	51	four	four	NUM
ap-7699	845	52	-	-	PUNCT
ap-7699	845	53	derivative	derivative	ADJ
ap-7699	845	54	model	model	NOUN
ap-7699	845	55	with	with	ADP
ap-7699	845	56	the	the	DET
ap-7699	845	57	condition	condition	NOUN
ap-7699	845	58	θc	θc	ADP
ap-7699	845	59	=	=	NOUN
ap-7699	845	60	0	0	NUM
ap-7699	845	61	is	be	AUX
ap-7699	845	62	somehow	somehow	ADV
ap-7699	845	63	“	"	PUNCT
ap-7699	845	64	doubly	doubly	ADV
ap-7699	845	65	”	"	PUNCT
ap-7699	845	66	bad	bad	ADJ
ap-7699	845	67	.	.	PUNCT
ap-7699	846	1	first	first	ADV
ap-7699	846	2	,	,	PUNCT
ap-7699	846	3	the	the	DET
ap-7699	846	4	hessian	hessian	NOUN
ap-7699	846	5	is	be	AUX
ap-7699	846	6	not	not	PART
ap-7699	846	7	well	well	ADV
ap-7699	846	8	-	-	PUNCT
ap-7699	846	9	defined	define	VERB
ap-7699	846	10	to	to	PART
ap-7699	846	11	start	start	VERB
ap-7699	846	12	with	with	ADP
ap-7699	846	13	and	and	CCONJ
ap-7699	846	14	this	this	PRON
ap-7699	846	15	takes	take	VERB
ap-7699	846	16	away	away	ADV
ap-7699	846	17	our	our	PRON
ap-7699	846	18	trust	trust	NOUN
ap-7699	846	19	in	in	ADP
ap-7699	846	20	this	this	DET
ap-7699	846	21	type	type	NOUN
ap-7699	846	22	of	of	ADP
ap-7699	846	23	computation	computation	NOUN
ap-7699	846	24	.	.	PUNCT
ap-7699	847	1	moreover	moreover	ADV
ap-7699	847	2	,	,	PUNCT
ap-7699	847	3	if	if	SCONJ
ap-7699	847	4	we	we	PRON
ap-7699	847	5	would	would	AUX
ap-7699	847	6	attempt	attempt	VERB
ap-7699	847	7	to	to	PART
ap-7699	847	8	take	take	VERB
ap-7699	847	9	the	the	DET
ap-7699	847	10	limit	limit	NOUN
ap-7699	847	11	θc	θc	INTJ
ap-7699	847	12	→	→	SYM
ap-7699	847	13	0	0	NUM
ap-7699	847	14	(	(	PUNCT
ap-7699	847	15	or	or	CCONJ
ap-7699	847	16	equivalently	equivalently	ADV
ap-7699	847	17	x4−der	x4−der	PUNCT
ap-7699	848	1	→	→	SYM
ap-7699	848	2	0	0	NUM
ap-7699	848	3	)	)	PUNCT
ap-7699	848	4	in	in	ADP
ap-7699	848	5	the	the	DET
ap-7699	848	6	final	final	ADJ
ap-7699	848	7	result	result	NOUN
ap-7699	848	8	like	like	ADP
ap-7699	848	9	in	in	ADP
ap-7699	848	10	(	(	PUNCT
ap-7699	848	11	49	49	NUM
ap-7699	848	12	)	)	PUNCT
ap-7699	848	13	,	,	PUNCT
ap-7699	848	14	then	then	ADV
ap-7699	848	15	we	we	PRON
ap-7699	848	16	get	get	VERB
ap-7699	848	17	a	a	DET
ap-7699	848	18	second	second	ADJ
ap-7699	848	19	problem	problem	NOUN
ap-7699	848	20	since	since	SCONJ
ap-7699	848	21	such	such	ADJ
ap-7699	848	22	limit	limit	NOUN
ap-7699	848	23	gives	give	VERB
ap-7699	848	24	infinite	infinite	ADJ
ap-7699	848	25	results	result	NOUN
ap-7699	848	26	.	.	PUNCT
ap-7699	849	1	this	this	PRON
ap-7699	849	2	means	mean	VERB
ap-7699	849	3	that	that	SCONJ
ap-7699	849	4	we	we	PRON
ap-7699	849	5	somehow	somehow	ADV
ap-7699	849	6	doubly	doubly	ADV
ap-7699	849	7	confirmed	confirm	VERB
ap-7699	849	8	the	the	DET
ap-7699	849	9	problem	problem	NOUN
ap-7699	849	10	with	with	ADP
ap-7699	849	11	the	the	DET
ap-7699	849	12	perturbative	perturbative	ADJ
ap-7699	849	13	and	and	CCONJ
ap-7699	849	14	multiplicative	multiplicative	ADJ
ap-7699	849	15	renormalizability	renormalizability	NOUN
ap-7699	849	16	of	of	ADP
ap-7699	849	17	such	such	DET
ap-7699	849	18	a	a	DET
ap-7699	849	19	model	model	NOUN
ap-7699	849	20	.	.	PUNCT
ap-7699	850	1	it	it	PRON
ap-7699	850	2	is	be	AUX
ap-7699	850	3	not	not	PART
ap-7699	850	4	that	that	SCONJ
ap-7699	850	5	the	the	DET
ap-7699	850	6	two	two	NUM
ap-7699	850	7	instances	instance	NOUN
ap-7699	850	8	of	of	ADP
ap-7699	850	9	the	the	DET
ap-7699	850	10	problem	problem	NOUN
ap-7699	850	11	support	support	VERB
ap-7699	850	12	each	each	DET
ap-7699	850	13	other	other	ADJ
ap-7699	850	14	–	–	PUNCT
ap-7699	850	15	they	they	PRON
ap-7699	850	16	appear	appear	VERB
ap-7699	850	17	somehow	somehow	ADV
ap-7699	850	18	independently	independently	ADV
ap-7699	850	19	and	and	CCONJ
ap-7699	850	20	are	be	AUX
ap-7699	850	21	not	not	PART
ap-7699	850	22	related	relate	VERB
ap-7699	850	23	,	,	PUNCT
ap-7699	850	24	nor	nor	CCONJ
ap-7699	850	25	they	they	PRON
ap-7699	850	26	cancel	cancel	VERB
ap-7699	850	27	out	out	ADP
ap-7699	850	28	.	.	PUNCT
ap-7699	851	1	above	above	ADV
ap-7699	851	2	,	,	PUNCT
ap-7699	851	3	we	we	PRON
ap-7699	851	4	have	have	AUX
ap-7699	851	5	seen	see	VERB
ap-7699	851	6	that	that	SCONJ
ap-7699	851	7	in	in	ADP
ap-7699	851	8	the	the	DET
ap-7699	851	9	six	six	NUM
ap-7699	851	10	-	-	PUNCT
ap-7699	851	11	derivative	derivative	ADJ
ap-7699	851	12	(	(	PUNCT
ap-7699	851	13	or	or	CCONJ
ap-7699	851	14	general	general	ADJ
ap-7699	851	15	n	n	CCONJ
ap-7699	851	16	>	>	NOUN
ap-7699	851	17	0	0	NUM
ap-7699	851	18	)	)	PUNCT
ap-7699	851	19	case	case	NOUN
ap-7699	851	20	,	,	PUNCT
ap-7699	851	21	they	they	PRON
ap-7699	851	22	could	could	AUX
ap-7699	851	23	occur	occur	VERB
ap-7699	851	24	completely	completely	ADV
ap-7699	851	25	independently	independently	ADV
ap-7699	851	26	for	for	ADP
ap-7699	851	27	two	two	NUM
ap-7699	851	28	completely	completely	ADV
ap-7699	851	29	different	different	ADJ
ap-7699	851	30	types	type	NOUN
ap-7699	851	31	of	of	ADP
ap-7699	851	32	non	non	ADJ
ap-7699	851	33	-	-	ADJ
ap-7699	851	34	renormalizable	renormalizable	ADJ
ap-7699	851	35	theories	theory	NOUN
ap-7699	851	36	(	(	PUNCT
ap-7699	851	37	with	with	ADP
ap-7699	851	38	the	the	DET
ap-7699	851	39	conditions	condition	NOUN
ap-7699	851	40	of	of	ADP
ap-7699	851	41	ωr	ωr	NOUN
ap-7699	851	42	=	=	SYM
ap-7699	851	43	0	0	NUM
ap-7699	851	44	or	or	CCONJ
ap-7699	851	45	ωc	ωc	ADP
ap-7699	851	46	=	=	NOUN
ap-7699	851	47	0	0	NUM
ap-7699	851	48	respectively	respectively	ADV
ap-7699	851	49	)	)	PUNCT
ap-7699	851	50	.	.	PUNCT
ap-7699	852	1	here	here	ADV
ap-7699	852	2	,	,	PUNCT
ap-7699	852	3	we	we	PRON
ap-7699	852	4	see	see	VERB
ap-7699	852	5	that	that	SCONJ
ap-7699	852	6	since	since	SCONJ
ap-7699	852	7	conformal	conformal	ADJ
ap-7699	852	8	gravity	gravity	NOUN
ap-7699	852	9	at	at	ADP
ap-7699	852	10	one	one	NUM
ap-7699	852	11	-	-	PUNCT
ap-7699	852	12	loop	loop	NOUN
ap-7699	852	13	must	must	AUX
ap-7699	852	14	be	be	AUX
ap-7699	852	15	without	without	ADP
ap-7699	852	16	any	any	DET
ap-7699	852	17	problem	problem	NOUN
ap-7699	852	18	of	of	ADP
ap-7699	852	19	this	this	DET
ap-7699	852	20	type	type	NOUN
ap-7699	852	21	(	(	PUNCT
ap-7699	852	22	no	no	DET
ap-7699	852	23	problem	problem	NOUN
ap-7699	852	24	with	with	ADP
ap-7699	852	25	the	the	DET
ap-7699	852	26	hessian	hessian	NOUN
ap-7699	852	27	and	and	CCONJ
ap-7699	852	28	no	no	DET
ap-7699	852	29	problem	problem	NOUN
ap-7699	852	30	with	with	ADP
ap-7699	852	31	getting	get	VERB
ap-7699	852	32	infinite	infinite	ADJ
ap-7699	852	33	results	result	NOUN
ap-7699	852	34	of	of	ADP
ap-7699	852	35	the	the	DET
ap-7699	852	36	limits	limit	NOUN
ap-7699	852	37	x4−der	x4−der	PUNCT
ap-7699	853	1	→	→	SYM
ap-7699	853	2	∞	∞	NUM
ap-7699	853	3	)	)	PUNCT
ap-7699	853	4	,	,	PUNCT
ap-7699	853	5	then	then	ADV
ap-7699	853	6	the	the	DET
ap-7699	853	7	occurrence	occurrence	NOUN
ap-7699	853	8	of	of	ADP
ap-7699	853	9	these	these	DET
ap-7699	853	10	two	two	NUM
ap-7699	853	11	problems	problem	NOUN
ap-7699	853	12	at	at	ADP
ap-7699	853	13	the	the	DET
ap-7699	853	14	same	same	ADJ
ap-7699	853	15	time	time	NOUN
ap-7699	853	16	must	must	AUX
ap-7699	853	17	happen	happen	VERB
ap-7699	853	18	in	in	ADP
ap-7699	853	19	badly	badly	ADV
ap-7699	853	20	non	non	ADJ
ap-7699	853	21	-	-	ADJ
ap-7699	853	22	renormalizable	renormalizable	ADJ
ap-7699	853	23	model	model	NOUN
ap-7699	853	24	with	with	ADP
ap-7699	853	25	θc	θc	NOUN
ap-7699	853	26	=	=	SYM
ap-7699	853	27	0	0	NUM
ap-7699	853	28	condition	condition	NOUN
ap-7699	853	29	.	.	PUNCT
ap-7699	854	1	in	in	ADP
ap-7699	854	2	other	other	ADJ
ap-7699	854	3	words	word	NOUN
ap-7699	854	4	,	,	PUNCT
ap-7699	854	5	since	since	SCONJ
ap-7699	854	6	conformal	conformal	ADJ
ap-7699	854	7	gravity	gravity	NOUN
ap-7699	854	8	is	be	AUX
ap-7699	854	9	a	a	DET
ap-7699	854	10	safe	safe	ADJ
ap-7699	854	11	model	model	NOUN
ap-7699	854	12	,	,	PUNCT
ap-7699	854	13	then	then	ADV
ap-7699	854	14	the	the	DET
ap-7699	854	15	model	model	NOUN
ap-7699	854	16	with	with	ADP
ap-7699	854	17	θc	θc	NOUN
ap-7699	854	18	=	=	NOUN
ap-7699	854	19	0	0	NUM
ap-7699	854	20	must	must	AUX
ap-7699	854	21	suffer	suffer	VERB
ap-7699	854	22	twice	twice	ADV
ap-7699	854	23	since	since	SCONJ
ap-7699	854	24	all	all	DET
ap-7699	854	25	these	these	DET
ap-7699	854	26	two	two	NUM
ap-7699	854	27	problems	problem	NOUN
ap-7699	854	28	must	must	AUX
ap-7699	854	29	inevitably	inevitably	ADV
ap-7699	854	30	appear	appear	VERB
ap-7699	854	31	in	in	ADP
ap-7699	854	32	one	one	NUM
ap-7699	854	33	model	model	NOUN
ap-7699	854	34	or	or	CCONJ
ap-7699	854	35	the	the	DET
ap-7699	854	36	other	other	ADJ
ap-7699	854	37	,	,	PUNCT
ap-7699	854	38	if	if	SCONJ
ap-7699	854	39	some	some	DET
ap-7699	854	40	extreme	extreme	ADJ
ap-7699	854	41	special	special	ADJ
ap-7699	854	42	cases	case	NOUN
ap-7699	854	43	like	like	ADP
ap-7699	854	44	θr	θr	NOUN
ap-7699	854	45	=	=	SYM
ap-7699	854	46	0	0	NUM
ap-7699	854	47	or	or	CCONJ
ap-7699	854	48	θc	θc	ADV
ap-7699	854	49	=	=	NOUN
ap-7699	854	50	0	0	NUM
ap-7699	854	51	are	be	AUX
ap-7699	854	52	being	be	AUX
ap-7699	854	53	considered	consider	VERB
ap-7699	854	54	.	.	PUNCT
ap-7699	855	1	again	again	ADV
ap-7699	855	2	,	,	PUNCT
ap-7699	855	3	we	we	PRON
ap-7699	855	4	remark	remark	VERB
ap-7699	855	5	that	that	SCONJ
ap-7699	855	6	in	in	ADP
ap-7699	855	7	generic	generic	ADJ
ap-7699	855	8	quadratic	quadratic	ADJ
ap-7699	855	9	gravity	gravity	NOUN
ap-7699	855	10	model	model	NOUN
ap-7699	855	11	we	we	PRON
ap-7699	855	12	see	see	VERB
ap-7699	855	13	up	up	ADP
ap-7699	855	14	to	to	ADP
ap-7699	855	15	quadratic	quadratic	ADJ
ap-7699	855	16	dependence	dependence	NOUN
ap-7699	855	17	on	on	ADP
ap-7699	855	18	the	the	DET
ap-7699	855	19	inverse	inverse	NOUN
ap-7699	855	20	ratio	ratio	NOUN
ap-7699	855	21	x−1	x−1	PROPN
ap-7699	855	22	4−der	4−der	NOUN
ap-7699	855	23	,	,	PUNCT
ap-7699	855	24	but	but	CCONJ
ap-7699	855	25	a	a	DET
ap-7699	855	26	precise	precise	ADJ
ap-7699	855	27	location	location	NOUN
ap-7699	855	28	where	where	SCONJ
ap-7699	855	29	this	this	DET
ap-7699	855	30	dependence	dependence	NOUN
ap-7699	855	31	shows	show	VERB
ap-7699	855	32	up	up	ADP
ap-7699	855	33	is	be	AUX
ap-7699	855	34	still	still	ADV
ap-7699	855	35	not	not	PART
ap-7699	855	36	amenable	amenable	ADJ
ap-7699	855	37	for	for	ADP
ap-7699	855	38	an	an	DET
ap-7699	855	39	easy	easy	ADJ
ap-7699	855	40	explanation	explanation	NOUN
ap-7699	855	41	.	.	PUNCT
ap-7699	856	1	we	we	PRON
ap-7699	856	2	do	do	AUX
ap-7699	856	3	not	not	PART
ap-7699	856	4	know	know	VERB
ap-7699	856	5	why	why	SCONJ
ap-7699	856	6	this	this	PRON
ap-7699	856	7	happens	happen	VERB
ap-7699	856	8	in	in	ADP
ap-7699	856	9	the	the	DET
ap-7699	856	10	r2	r2	NOUN
ap-7699	856	11	sector	sector	NOUN
ap-7699	856	12	only	only	ADV
ap-7699	856	13	,	,	PUNCT
ap-7699	856	14	while	while	SCONJ
ap-7699	856	15	the	the	DET
ap-7699	856	16	c2	c2	PROPN
ap-7699	856	17	and	and	CCONJ
ap-7699	856	18	gb	gb	PROPN
ap-7699	856	19	sectors	sector	NOUN
ap-7699	856	20	are	be	AUX
ap-7699	856	21	free	free	ADJ
ap-7699	856	22	from	from	ADP
ap-7699	856	23	any	any	DET
ap-7699	856	24	x4−der	x4−der	NOUN
ap-7699	856	25	-	-	PUNCT
ap-7699	856	26	dependence	dependence	NOUN
ap-7699	856	27	.	.	PUNCT
ap-7699	857	1	but	but	CCONJ
ap-7699	857	2	at	at	ADP
ap-7699	857	3	least	least	ADJ
ap-7699	857	4	the	the	DET
ap-7699	857	5	dependence	dependence	NOUN
ap-7699	857	6	on	on	ADP
ap-7699	857	7	the	the	DET
ap-7699	857	8	inverse	inverse	NOUN
ap-7699	857	9	ratio	ratio	NOUN
ap-7699	857	10	x−1	x−1	PROPN
ap-7699	858	1	4−der	4−der	NOUN
ap-7699	858	2	,	,	PUNCT
ap-7699	858	3	rather	rather	ADV
ap-7699	858	4	than	than	ADP
ap-7699	858	5	on	on	ADP
ap-7699	858	6	its	its	PRON
ap-7699	858	7	original	original	ADJ
ap-7699	858	8	form	form	NOUN
ap-7699	858	9	x4−der	x4−der	PUNCT
ap-7699	859	1	=	=	PUNCT
ap-7699	859	2	θc	θc	NOUN
ap-7699	859	3	θr	θr	NOUN
ap-7699	859	4	,	,	PUNCT
ap-7699	859	5	in	in	ADP
ap-7699	859	6	the	the	DET
ap-7699	859	7	exceptional	exceptional	ADJ
ap-7699	859	8	case	case	NOUN
ap-7699	859	9	of	of	ADP
ap-7699	859	10	n	n	NOUN
ap-7699	859	11	=	=	SYM
ap-7699	859	12	0	0	NUM
ap-7699	859	13	can	can	AUX
ap-7699	859	14	be	be	AUX
ap-7699	859	15	explained	explain	VERB
ap-7699	859	16	by	by	ADP
ap-7699	859	17	the	the	DET
ap-7699	859	18	miraculous	miraculous	ADJ
ap-7699	859	19	oneloop	oneloop	NOUN
ap-7699	859	20	perturbative	perturbative	ADJ
ap-7699	859	21	renormalizability	renormalizability	NOUN
ap-7699	859	22	of	of	ADP
ap-7699	859	23	the	the	DET
ap-7699	859	24	conformal	conformal	ADJ
ap-7699	859	25	gravity	gravity	NOUN
ap-7699	859	26	model	model	NOUN
ap-7699	859	27	in	in	ADP
ap-7699	859	28	d	d	PROPN
ap-7699	859	29	=	=	PROPN
ap-7699	859	30	4	4	NUM
ap-7699	859	31	.	.	X
ap-7699	859	32	4.3	4.3	NUM
ap-7699	859	33	.	.	PUNCT
ap-7699	860	1	case	case	NOUN
ap-7699	860	2	of	of	ADP
ap-7699	860	3	conformal	conformal	ADJ
ap-7699	860	4	gravity	gravity	NOUN
ap-7699	860	5	here	here	ADV
ap-7699	860	6	we	we	PRON
ap-7699	860	7	continue	continue	VERB
ap-7699	860	8	the	the	DET
ap-7699	860	9	discussion	discussion	NOUN
ap-7699	860	10	of	of	ADP
ap-7699	860	11	related	related	ADJ
ap-7699	860	12	issues	issue	NOUN
ap-7699	860	13	,	,	PUNCT
ap-7699	860	14	but	but	CCONJ
ap-7699	860	15	now	now	ADV
ap-7699	860	16	in	in	ADP
ap-7699	860	17	the	the	DET
ap-7699	860	18	framework	framework	NOUN
ap-7699	860	19	of	of	ADP
ap-7699	860	20	conformal	conformal	ADJ
ap-7699	860	21	gravity	gravity	NOUN
ap-7699	860	22	,	,	PUNCT
ap-7699	860	23	so	so	ADV
ap-7699	860	24	within	within	ADP
ap-7699	860	25	the	the	DET
ap-7699	860	26	model	model	NOUN
ap-7699	860	27	with	with	ADP
ap-7699	860	28	the	the	DET
ap-7699	860	29	reduced	reduce	VERB
ap-7699	860	30	hd	hd	NOUN
ap-7699	860	31	action	action	NOUN
ap-7699	860	32	with	with	ADP
ap-7699	860	33	n	n	NOUN
ap-7699	860	34	=	=	SYM
ap-7699	860	35	0	0	NUM
ap-7699	860	36	and	and	CCONJ
ap-7699	860	37	formally	formally	ADV
ap-7699	860	38	with	with	ADP
ap-7699	860	39	θr	θr	NOUN
ap-7699	860	40	=	=	SYM
ap-7699	860	41	0	0	X
ap-7699	860	42	.	.	PUNCT
ap-7699	861	1	there	there	PRON
ap-7699	861	2	are	be	VERB
ap-7699	861	3	various	various	ADJ
ap-7699	861	4	motivations	motivation	NOUN
ap-7699	861	5	for	for	ADP
ap-7699	861	6	conformal	conformal	ADJ
ap-7699	861	7	gravity	gravity	NOUN
ap-7699	861	8	in	in	ADP
ap-7699	861	9	d	d	PROPN
ap-7699	861	10	=	=	SYM
ap-7699	861	11	4	4	NUM
ap-7699	861	12	spacetime	spacetime	NOUN
ap-7699	861	13	dimensions	dimension	NOUN
ap-7699	861	14	[	[	X
ap-7699	861	15	13	13	NUM
ap-7699	861	16	,	,	PUNCT
ap-7699	861	17	14	14	NUM
ap-7699	861	18	]	]	PUNCT
ap-7699	861	19	.	.	PUNCT
ap-7699	862	1	as	as	SCONJ
ap-7699	862	2	it	it	PRON
ap-7699	862	3	is	be	AUX
ap-7699	862	4	well	well	ADV
ap-7699	862	5	known	know	VERB
ap-7699	862	6	the	the	DET
ap-7699	862	7	reason	reason	NOUN
ap-7699	862	8	for	for	ADP
ap-7699	862	9	the	the	DET
ap-7699	862	10	multiplicative	multiplicative	ADJ
ap-7699	862	11	renormalizability	renormalizability	NOUN
ap-7699	862	12	of	of	ADP
ap-7699	862	13	such	such	DET
ap-7699	862	14	a	a	DET
ap-7699	862	15	reduced	reduced	ADJ
ap-7699	862	16	model	model	NOUN
ap-7699	862	17	,	,	PUNCT
ap-7699	862	18	when	when	SCONJ
ap-7699	862	19	we	we	PRON
ap-7699	862	20	have	have	VERB
ap-7699	862	21	from	from	ADP
ap-7699	862	22	the	the	DET
ap-7699	862	23	beginning	beginning	NOUN
ap-7699	862	24	that	that	SCONJ
ap-7699	862	25	θr	θr	NOUN
ap-7699	862	26	=	=	NOUN
ap-7699	862	27	0	0	NUM
ap-7699	862	28	is	be	AUX
ap-7699	862	29	the	the	DET
ap-7699	862	30	presence	presence	NOUN
ap-7699	862	31	of	of	ADP
ap-7699	862	32	conformality	conformality	NOUN
ap-7699	862	33	–	–	PUNCT
ap-7699	862	34	conformal	conformal	NOUN
ap-7699	862	35	symmetry	symmetry	NOUN
ap-7699	862	36	both	both	CCONJ
ap-7699	862	37	on	on	ADP
ap-7699	862	38	the	the	DET
ap-7699	862	39	tree	tree	NOUN
ap-7699	862	40	level	level	NOUN
ap-7699	862	41	and	and	CCONJ
ap-7699	862	42	also	also	ADV
ap-7699	862	43	on	on	ADP
ap-7699	862	44	the	the	DET
ap-7699	862	45	level	level	NOUN
ap-7699	862	46	of	of	ADP
ap-7699	862	47	the	the	DET
ap-7699	862	48	first	first	ADJ
ap-7699	862	49	loop	loop	NOUN
ap-7699	862	50	.	.	PUNCT
ap-7699	863	1	unfortunately	unfortunately	ADV
ap-7699	863	2	,	,	PUNCT
ap-7699	863	3	the	the	DET
ap-7699	863	4	story	story	NOUN
ap-7699	863	5	with	with	ADP
ap-7699	863	6	conformal	conformal	ADJ
ap-7699	863	7	gravity	gravity	NOUN
ap-7699	863	8	in	in	ADP
ap-7699	863	9	d	d	PROPN
ap-7699	863	10	=	=	SYM
ap-7699	863	11	4	4	NUM
ap-7699	863	12	is	be	AUX
ap-7699	863	13	even	even	ADV
ap-7699	863	14	more	more	ADV
ap-7699	863	15	complicated	complicated	ADJ
ap-7699	863	16	than	than	ADP
ap-7699	863	17	what	what	PRON
ap-7699	863	18	we	we	PRON
ap-7699	863	19	argued	argue	VERB
ap-7699	863	20	above	above	ADV
ap-7699	863	21	.	.	PUNCT
ap-7699	864	1	first	first	ADV
ap-7699	864	2	,	,	PUNCT
ap-7699	864	3	already	already	ADV
ap-7699	864	4	at	at	ADP
ap-7699	864	5	the	the	DET
ap-7699	864	6	one	one	NUM
ap-7699	864	7	-	-	PUNCT
ap-7699	864	8	loop	loop	NOUN
ap-7699	864	9	level	level	NOUN
ap-7699	864	10	one	one	NOUN
ap-7699	864	11	discovers	discover	VERB
ap-7699	864	12	the	the	DET
ap-7699	864	13	presence	presence	NOUN
ap-7699	864	14	of	of	ADP
ap-7699	864	15	conformal	conformal	ADJ
ap-7699	864	16	anomaly	anomaly	NOUN
ap-7699	864	17	,	,	PUNCT
ap-7699	864	18	which	which	PRON
ap-7699	864	19	is	be	AUX
ap-7699	864	20	typically	typically	ADV
ap-7699	864	21	thought	think	VERB
ap-7699	864	22	as	as	ADP
ap-7699	864	23	not	not	PART
ap-7699	864	24	so	so	ADV
ap-7699	864	25	harmful	harmful	ADJ
ap-7699	864	26	on	on	ADP
ap-7699	864	27	the	the	DET
ap-7699	864	28	first	first	ADJ
ap-7699	864	29	loop	loop	NOUN
ap-7699	864	30	level	level	NOUN
ap-7699	864	31	.	.	PUNCT
ap-7699	865	1	however	however	ADV
ap-7699	865	2	,	,	PUNCT
ap-7699	865	3	it	it	PRON
ap-7699	865	4	heralds	herald	VERB
ap-7699	865	5	the	the	DET
ap-7699	865	6	soon	soon	ADV
ap-7699	865	7	breaking	breaking	NOUN
ap-7699	865	8	of	of	ADP
ap-7699	865	9	conformal	conformal	ADJ
ap-7699	865	10	symmetry	symmetry	NOUN
ap-7699	865	11	like	like	ADP
ap-7699	865	12	for	for	ADP
ap-7699	865	13	example	example	NOUN
ap-7699	865	14	via	via	ADP
ap-7699	865	15	the	the	DET
ap-7699	865	16	appearance	appearance	NOUN
ap-7699	865	17	of	of	ADP
ap-7699	865	18	the	the	DET
ap-7699	865	19	r2	r2	PROPN
ap-7699	865	20	counterterm	counterterm	NOUN
ap-7699	865	21	at	at	ADP
ap-7699	865	22	the	the	DET
ap-7699	865	23	twoloop	twoloop	NOUN
ap-7699	865	24	level	level	NOUN
ap-7699	865	25	.	.	PUNCT
ap-7699	866	1	such	such	ADJ
ap-7699	866	2	term	term	NOUN
ap-7699	866	3	as	as	ADP
ap-7699	866	4	a	a	DET
ap-7699	866	5	counterterm	counterterm	NOUN
ap-7699	866	6	is	be	AUX
ap-7699	866	7	not	not	PART
ap-7699	866	8	fully	fully	ADV
ap-7699	866	9	invariant	invariant	ADJ
ap-7699	866	10	under	under	ADP
ap-7699	866	11	local	local	ADJ
ap-7699	866	12	conformal	conformal	NOUN
ap-7699	866	13	transformations	transformation	NOUN
ap-7699	866	14	–	–	PUNCT
ap-7699	866	15	it	it	PRON
ap-7699	866	16	is	be	AUX
ap-7699	866	17	only	only	ADV
ap-7699	866	18	invariant	invariant	ADJ
ap-7699	866	19	under	under	ADP
ap-7699	866	20	so	so	ADV
ap-7699	866	21	called	call	VERB
ap-7699	866	22	restricted	restricted	ADJ
ap-7699	866	23	conformal	conformal	ADJ
ap-7699	866	24	transformations	transformation	NOUN
ap-7699	866	25	that	that	PRON
ap-7699	866	26	is	be	AUX
ap-7699	866	27	such	such	ADJ
ap-7699	866	28	transformations	transformation	NOUN
ap-7699	866	29	whose	whose	DET
ap-7699	866	30	parameters	parameter	NOUN
ap-7699	866	31	satisfy	satisfy	VERB
ap-7699	866	32	the	the	DET
ap-7699	866	33	source	source	NOUN
ap-7699	866	34	-	-	PUNCT
ap-7699	866	35	free	free	ADJ
ap-7699	866	36	background	background	NOUN
ap-7699	866	37	grcovariant	grcovariant	ADJ
ap-7699	866	38	d’alembert	d’alembert	NOUN
ap-7699	866	39	equation	equation	NOUN
ap-7699	866	40	(	(	PUNCT
ap-7699	866	41	□	□	PROPN
ap-7699	866	42	ω	ω	X
ap-7699	866	43	=	=	SYM
ap-7699	866	44	0	0	NUM
ap-7699	866	45	)	)	PUNCT
ap-7699	866	46	on	on	ADP
ap-7699	866	47	a	a	DET
ap-7699	866	48	general	general	ADJ
ap-7699	866	49	spacetime	spacetime	NOUN
ap-7699	866	50	.	.	PUNCT
ap-7699	867	1	hence	hence	ADV
ap-7699	867	2	the	the	DET
ap-7699	867	3	r2	r2	PROPN
ap-7699	867	4	term	term	NOUN
ap-7699	867	5	is	be	AUX
ap-7699	867	6	still	still	ADV
ap-7699	867	7	scale	scale	NOUN
ap-7699	867	8	-	-	PUNCT
ap-7699	867	9	invariant	invariant	ADJ
ap-7699	867	10	but	but	CCONJ
ap-7699	867	11	it	it	PRON
ap-7699	867	12	breaks	break	VERB
ap-7699	867	13	full	full	ADJ
ap-7699	867	14	conformal	conformal	ADJ
ap-7699	867	15	symmetry	symmetry	NOUN
ap-7699	867	16	of	of	ADP
ap-7699	867	17	the	the	DET
ap-7699	867	18	quantum	quantum	ADJ
ap-7699	867	19	conformal	conformal	NOUN
ap-7699	867	20	gravity	gravity	NOUN
ap-7699	867	21	.	.	PUNCT
ap-7699	868	1	it	it	PRON
ap-7699	868	2	seems	seem	VERB
ap-7699	868	3	the	the	DET
ap-7699	868	4	only	only	ADJ
ap-7699	868	5	way	way	NOUN
ap-7699	868	6	out	out	ADP
ap-7699	868	7	of	of	ADP
ap-7699	868	8	this	this	DET
ap-7699	868	9	conformal	conformal	NOUN
ap-7699	868	10	anomaly	anomaly	NOUN
ap-7699	868	11	problem	problem	NOUN
ap-7699	868	12	is	be	AUX
ap-7699	868	13	to	to	PART
ap-7699	868	14	include	include	VERB
ap-7699	868	15	and	and	CCONJ
ap-7699	868	16	couple	couple	NOUN
ap-7699	868	17	to	to	PART
ap-7699	868	18	conformal	conformal	VERB
ap-7699	868	19	gravity	gravity	NOUN
ap-7699	868	20	specific	specific	ADJ
ap-7699	868	21	matter	matter	NOUN
ap-7699	868	22	sector	sector	NOUN
ap-7699	868	23	to	to	PART
ap-7699	868	24	cancel	cancel	VERB
ap-7699	868	25	in	in	ADP
ap-7699	868	26	effect	effect	NOUN
ap-7699	868	27	the	the	DET
ap-7699	868	28	anomaly	anomaly	NOUN
ap-7699	868	29	.	.	PUNCT
ap-7699	869	1	this	this	PRON
ap-7699	869	2	is	be	AUX
ap-7699	869	3	,	,	PUNCT
ap-7699	869	4	for	for	ADP
ap-7699	869	5	example	example	NOUN
ap-7699	869	6	,	,	PUNCT
ap-7699	869	7	done	do	VERB
ap-7699	869	8	in	in	ADP
ap-7699	869	9	n	n	NOUN
ap-7699	869	10	=	=	SYM
ap-7699	869	11	4	4	NUM
ap-7699	869	12	conformal	conformal	NOUN
ap-7699	869	13	supergravity	supergravity	NOUN
ap-7699	869	14	coupled	couple	VERB
ap-7699	869	15	to	to	ADP
ap-7699	869	16	two	two	NUM
ap-7699	869	17	copies	copy	NOUN
ap-7699	869	18	of	of	ADP
ap-7699	869	19	n	n	NOUN
ap-7699	869	20	=	=	SYM
ap-7699	869	21	4	4	NUM
ap-7699	869	22	super	super	PROPN
ap-7699	869	23	-	-	ADJ
ap-7699	869	24	yang	yang	ADJ
ap-7699	869	25	-	-	PUNCT
ap-7699	869	26	mills	mill	NOUN
ap-7699	869	27	theory	theory	NOUN
ap-7699	869	28	,	,	PUNCT
ap-7699	869	29	first	first	ADV
ap-7699	869	30	proposed	propose	VERB
ap-7699	869	31	by	by	ADP
ap-7699	869	32	fradkin	fradkin	PROPN
ap-7699	869	33	and	and	CCONJ
ap-7699	869	34	tseytlin	tseytlin	NOUN
ap-7699	870	1	[	[	X
ap-7699	870	2	49	49	NUM
ap-7699	870	3	]	]	PUNCT
ap-7699	870	4	.	.	PUNCT
ap-7699	871	1	in	in	ADP
ap-7699	871	2	such	such	DET
ap-7699	871	3	a	a	DET
ap-7699	871	4	coupled	couple	VERB
ap-7699	871	5	supergravity	supergravity	NOUN
ap-7699	871	6	model	model	NOUN
ap-7699	871	7	,	,	PUNCT
ap-7699	871	8	we	we	PRON
ap-7699	871	9	have	have	AUX
ap-7699	871	10	vanishing	vanish	VERB
ap-7699	871	11	beta	beta	ADJ
ap-7699	871	12	functions	function	NOUN
ap-7699	871	13	,	,	PUNCT
ap-7699	871	14	implying	imply	VERB
ap-7699	871	15	complete	complete	ADJ
ap-7699	871	16	uv	uv	NOUN
ap-7699	871	17	-	-	PUNCT
ap-7699	871	18	finiteness	finiteness	NOUN
ap-7699	871	19	and	and	CCONJ
ap-7699	871	20	conformality	conformality	NOUN
ap-7699	871	21	present	present	ADJ
ap-7699	871	22	also	also	ADV
ap-7699	871	23	on	on	ADP
ap-7699	871	24	the	the	DET
ap-7699	871	25	quantum	quantum	ADJ
ap-7699	871	26	level	level	NOUN
ap-7699	871	27	.	.	PUNCT
ap-7699	872	1	this	this	PRON
ap-7699	872	2	is	be	AUX
ap-7699	872	3	conformal	conformal	ADJ
ap-7699	872	4	symmetry	symmetry	NOUN
ap-7699	872	5	in	in	ADP
ap-7699	872	6	the	the	DET
ap-7699	872	7	local	local	ADJ
ap-7699	872	8	version	version	NOUN
ap-7699	872	9	(	(	PUNCT
ap-7699	872	10	not	not	PART
ap-7699	872	11	a	a	DET
ap-7699	872	12	rigid	rigid	ADJ
ap-7699	872	13	one	one	NUM
ap-7699	872	14	)	)	PUNCT
ap-7699	872	15	with	with	ADP
ap-7699	872	16	weyl	weyl	VERB
ap-7699	872	17	conformal	conformal	ADJ
ap-7699	872	18	transformations	transformation	NOUN
ap-7699	872	19	in	in	ADP
ap-7699	872	20	the	the	DET
ap-7699	872	21	gravitational	gravitational	ADJ
ap-7699	872	22	setup	setup	NOUN
ap-7699	872	23	and	and	CCONJ
ap-7699	872	24	on	on	ADP
ap-7699	872	25	the	the	DET
ap-7699	872	26	quantum	quantum	ADJ
ap-7699	872	27	field	field	NOUN
ap-7699	872	28	theory	theory	NOUN
ap-7699	872	29	level	level	NOUN
ap-7699	872	30	.	.	PUNCT
ap-7699	873	1	141	141	NUM
ap-7699	873	2	lesław	lesław	PROPN
ap-7699	873	3	rachwał	rachwał	PROPN
ap-7699	873	4	acta	acta	PROPN
ap-7699	873	5	polytechnica	polytechnica	PROPN
ap-7699	873	6	if	if	SCONJ
ap-7699	873	7	not	not	PART
ap-7699	873	8	in	in	ADP
ap-7699	873	9	the	the	DET
ap-7699	873	10	framework	framework	NOUN
ap-7699	873	11	of	of	ADP
ap-7699	873	12	n	n	NOUN
ap-7699	873	13	=	=	SYM
ap-7699	873	14	4	4	NUM
ap-7699	873	15	fradkin	fradkin	ADJ
ap-7699	873	16	and	and	CCONJ
ap-7699	873	17	tseytlin	tseytlin	PROPN
ap-7699	873	18	supergravity	supergravity	NOUN
ap-7699	873	19	,	,	PUNCT
ap-7699	873	20	the	the	DET
ap-7699	873	21	conformal	conformal	ADJ
ap-7699	873	22	anomaly	anomaly	NOUN
ap-7699	873	23	of	of	ADP
ap-7699	873	24	local	local	ADJ
ap-7699	873	25	conformal	conformal	ADJ
ap-7699	873	26	symmetry	symmetry	NOUN
ap-7699	873	27	signals	signal	NOUN
ap-7699	873	28	breaking	break	VERB
ap-7699	873	29	of	of	ADP
ap-7699	873	30	conformal	conformal	ADJ
ap-7699	873	31	symmetry	symmetry	NOUN
ap-7699	873	32	,	,	PUNCT
ap-7699	873	33	while	while	SCONJ
ap-7699	873	34	scale	scale	NOUN
ap-7699	873	35	-	-	PUNCT
ap-7699	873	36	invariance	invariance	NOUN
ap-7699	873	37	(	(	PUNCT
ap-7699	873	38	global	global	ADJ
ap-7699	873	39	part	part	NOUN
ap-7699	873	40	of	of	ADP
ap-7699	873	41	it	it	PRON
ap-7699	873	42	)	)	PUNCT
ap-7699	873	43	still	still	ADV
ap-7699	873	44	may	may	AUX
ap-7699	873	45	remain	remain	VERB
ap-7699	873	46	intact	intact	ADJ
ap-7699	873	47	.	.	PUNCT
ap-7699	874	1	in	in	ADP
ap-7699	874	2	the	the	DET
ap-7699	874	3	long	long	ADJ
ap-7699	874	4	run	run	NOUN
ap-7699	874	5	,	,	PUNCT
ap-7699	874	6	besides	besides	SCONJ
ap-7699	874	7	the	the	DET
ap-7699	874	8	presence	presence	NOUN
ap-7699	874	9	of	of	ADP
ap-7699	874	10	non	non	ADJ
ap-7699	874	11	-	-	ADJ
ap-7699	874	12	conformal	conformal	ADJ
ap-7699	874	13	r2	r2	NOUN
ap-7699	874	14	counterterm	counterterm	NOUN
ap-7699	874	15	,	,	PUNCT
ap-7699	874	16	this	this	DET
ap-7699	874	17	breaking	breaking	NOUN
ap-7699	874	18	will	will	AUX
ap-7699	874	19	put	put	VERB
ap-7699	874	20	conformal	conformal	ADJ
ap-7699	874	21	ward	ward	NOUN
ap-7699	874	22	identities	identity	NOUN
ap-7699	874	23	in	in	ADP
ap-7699	874	24	question	question	NOUN
ap-7699	874	25	and	and	CCONJ
ap-7699	874	26	also	also	ADV
ap-7699	874	27	the	the	DET
ap-7699	874	28	constraining	constrain	VERB
ap-7699	874	29	power	power	NOUN
ap-7699	874	30	of	of	ADP
ap-7699	874	31	the	the	DET
ap-7699	874	32	quantum	quantum	ADJ
ap-7699	874	33	conformality	conformality	NOUN
ap-7699	874	34	in	in	ADP
ap-7699	874	35	question	question	NOUN
ap-7699	874	36	too	too	ADV
ap-7699	874	37	.	.	PUNCT
ap-7699	875	1	it	it	PRON
ap-7699	875	2	will	will	AUX
ap-7699	875	3	not	not	PART
ap-7699	875	4	constrain	constrain	VERB
ap-7699	875	5	any	any	PRON
ap-7699	875	6	more	more	ADJ
ap-7699	875	7	the	the	DET
ap-7699	875	8	detailed	detailed	ADJ
ap-7699	875	9	form	form	NOUN
ap-7699	875	10	of	of	ADP
ap-7699	875	11	gravitational	gravitational	ADJ
ap-7699	875	12	correlation	correlation	NOUN
ap-7699	875	13	functions	function	NOUN
ap-7699	875	14	of	of	ADP
ap-7699	875	15	the	the	DET
ap-7699	875	16	quantum	quantum	ADJ
ap-7699	875	17	theory	theory	NOUN
ap-7699	875	18	.	.	PUNCT
ap-7699	876	1	the	the	DET
ap-7699	876	2	conformal	conformal	ADJ
ap-7699	876	3	symmetry	symmetry	NOUN
ap-7699	876	4	will	will	AUX
ap-7699	876	5	not	not	PART
ap-7699	876	6	be	be	AUX
ap-7699	876	7	there	there	ADV
ap-7699	876	8	and	and	CCONJ
ap-7699	876	9	it	it	PRON
ap-7699	876	10	will	will	AUX
ap-7699	876	11	not	not	PART
ap-7699	876	12	protect	protect	VERB
ap-7699	876	13	the	the	DET
ap-7699	876	14	spectrum	spectrum	NOUN
ap-7699	876	15	from	from	ADP
ap-7699	876	16	the	the	DET
ap-7699	876	17	emergence	emergence	NOUN
ap-7699	876	18	of	of	ADP
ap-7699	876	19	some	some	DET
ap-7699	876	20	spurious	spurious	ADJ
ap-7699	876	21	ghost	ghost	NOUN
ap-7699	876	22	states	state	NOUN
ap-7699	876	23	in	in	ADP
ap-7699	876	24	it	it	PRON
ap-7699	876	25	.	.	PUNCT
ap-7699	877	1	this	this	DET
ap-7699	877	2	last	last	ADJ
ap-7699	877	3	thing	thing	NOUN
ap-7699	877	4	will	will	AUX
ap-7699	877	5	endanger	endanger	VERB
ap-7699	877	6	the	the	DET
ap-7699	877	7	perturbative	perturbative	ADJ
ap-7699	877	8	unitarity	unitarity	NOUN
ap-7699	877	9	of	of	ADP
ap-7699	877	10	the	the	DET
ap-7699	877	11	theory	theory	NOUN
ap-7699	877	12	(	(	PUNCT
ap-7699	877	13	and	and	CCONJ
ap-7699	877	14	we	we	PRON
ap-7699	877	15	do	do	AUX
ap-7699	877	16	not	not	PART
ap-7699	877	17	speak	speak	VERB
ap-7699	877	18	here	here	ADV
ap-7699	877	19	about	about	ADP
ap-7699	877	20	the	the	DET
ap-7699	877	21	danger	danger	NOUN
ap-7699	877	22	of	of	ADP
ap-7699	877	23	unitarity	unitarity	NOUN
ap-7699	877	24	breaking	break	VERB
ap-7699	877	25	due	due	ADP
ap-7699	877	26	to	to	ADP
ap-7699	877	27	the	the	DET
ap-7699	877	28	hd	hd	NOUN
ap-7699	877	29	nature	nature	NOUN
ap-7699	877	30	of	of	ADP
ap-7699	877	31	conformal	conformal	ADJ
ap-7699	877	32	gravity	gravity	NOUN
ap-7699	877	33	)	)	PUNCT
ap-7699	877	34	.	.	PUNCT
ap-7699	878	1	without	without	ADP
ap-7699	878	2	the	the	DET
ap-7699	878	3	power	power	NOUN
ap-7699	878	4	of	of	ADP
ap-7699	878	5	quantum	quantum	ADJ
ap-7699	878	6	conformal	conformal	NOUN
ap-7699	878	7	symmetry	symmetry	NOUN
ap-7699	878	8	,	,	PUNCT
ap-7699	878	9	we	we	PRON
ap-7699	878	10	may	may	AUX
ap-7699	878	11	have	have	VERB
ap-7699	878	12	unwanted	unwanted	ADJ
ap-7699	878	13	states	state	NOUN
ap-7699	878	14	in	in	ADP
ap-7699	878	15	the	the	DET
ap-7699	878	16	spectrum	spectrum	NOUN
ap-7699	878	17	corresponding	correspond	VERB
ap-7699	878	18	to	to	ADP
ap-7699	878	19	the	the	DET
ap-7699	878	20	states	state	NOUN
ap-7699	878	21	from	from	ADP
ap-7699	878	22	generic	generic	ADJ
ap-7699	878	23	stelle	stelle	NOUN
ap-7699	878	24	gravity	gravity	NOUN
ap-7699	878	25	,	,	PUNCT
ap-7699	878	26	and	and	CCONJ
ap-7699	878	27	not	not	PART
ap-7699	878	28	from	from	ADP
ap-7699	878	29	the	the	DET
ap-7699	878	30	tree	tree	NOUN
ap-7699	878	31	-	-	PUNCT
ap-7699	878	32	level	level	NOUN
ap-7699	878	33	spectrum	spectrum	NOUN
ap-7699	878	34	of	of	ADP
ap-7699	878	35	conformal	conformal	NOUN
ap-7699	878	36	gravity	gravity	NOUN
ap-7699	878	37	,	,	PUNCT
ap-7699	878	38	so	so	SCONJ
ap-7699	878	39	we	we	PRON
ap-7699	878	40	can	can	AUX
ap-7699	878	41	see	see	VERB
ap-7699	878	42	mismatch	mismatch	NOUN
ap-7699	878	43	in	in	ADP
ap-7699	878	44	counting	count	VERB
ap-7699	878	45	number	number	NOUN
ap-7699	878	46	of	of	ADP
ap-7699	878	47	degrees	degree	NOUN
ap-7699	878	48	of	of	ADP
ap-7699	878	49	freedom	freedom	NOUN
ap-7699	878	50	and	and	CCONJ
ap-7699	878	51	also	also	ADV
ap-7699	878	52	in	in	ADP
ap-7699	878	53	their	their	PRON
ap-7699	878	54	characters	character	NOUN
ap-7699	878	55	,	,	PUNCT
ap-7699	878	56	namely	namely	ADV
ap-7699	878	57	whether	whether	SCONJ
ap-7699	878	58	they	they	PRON
ap-7699	878	59	are	be	AUX
ap-7699	878	60	spin-1	spin-1	NUM
ap-7699	878	61	or	or	CCONJ
ap-7699	878	62	spin-0	spin-0	NUM
ap-7699	878	63	,	,	PUNCT
ap-7699	878	64	ghosts	ghost	NOUN
ap-7699	878	65	or	or	CCONJ
ap-7699	878	66	healthy	healthy	ADJ
ap-7699	878	67	particles	particle	NOUN
ap-7699	878	68	,	,	PUNCT
ap-7699	878	69	etc	etc	X
ap-7699	878	70	.	.	X
ap-7699	879	1	moreover	moreover	ADV
ap-7699	879	2	,	,	PUNCT
ap-7699	879	3	in	in	ADP
ap-7699	879	4	pure	pure	ADJ
ap-7699	879	5	conformal	conformal	ADJ
ap-7699	879	6	gravity	gravity	NOUN
ap-7699	879	7	described	describe	VERB
ap-7699	879	8	by	by	ADP
ap-7699	879	9	the	the	DET
ap-7699	879	10	action	action	NOUN
ap-7699	879	11	simply	simply	ADV
ap-7699	879	12	c2	c2	PROPN
ap-7699	879	13	without	without	ADP
ap-7699	879	14	any	any	DET
ap-7699	879	15	supergravitational	supergravitational	ADJ
ap-7699	879	16	extension	extension	NOUN
ap-7699	879	17	,	,	PUNCT
ap-7699	879	18	we	we	PRON
ap-7699	879	19	notice	notice	VERB
ap-7699	879	20	the	the	DET
ap-7699	879	21	somehow	somehow	ADV
ap-7699	879	22	nomenclature	nomenclature	ADJ
ap-7699	879	23	problem	problem	NOUN
ap-7699	879	24	with	with	ADP
ap-7699	879	25	the	the	DET
ap-7699	879	26	presence	presence	NOUN
ap-7699	879	27	of	of	ADP
ap-7699	879	28	quantum	quantum	ADJ
ap-7699	879	29	conformality	conformality	NOUN
ap-7699	879	30	.	.	PUNCT
ap-7699	880	1	even	even	ADV
ap-7699	880	2	barring	bar	VERB
ap-7699	880	3	the	the	DET
ap-7699	880	4	issue	issue	NOUN
ap-7699	880	5	of	of	ADP
ap-7699	880	6	conformal	conformal	ADJ
ap-7699	880	7	anomaly	anomaly	NOUN
ap-7699	880	8	,	,	PUNCT
ap-7699	880	9	the	the	DET
ap-7699	880	10	general	general	ADJ
ap-7699	880	11	pure	pure	ADJ
ap-7699	880	12	gravitational	gravitational	ADJ
ap-7699	880	13	theory	theory	NOUN
ap-7699	880	14	has	have	VERB
ap-7699	880	15	non	non	ADJ
ap-7699	880	16	-	-	ADJ
ap-7699	880	17	vanishing	vanishing	ADJ
ap-7699	880	18	beta	beta	ADJ
ap-7699	880	19	functions	function	NOUN
ap-7699	880	20	,	,	PUNCT
ap-7699	880	21	so	so	SCONJ
ap-7699	880	22	there	there	PRON
ap-7699	880	23	is	be	VERB
ap-7699	880	24	no	no	DET
ap-7699	880	25	uv	uv	NOUN
ap-7699	880	26	-	-	PUNCT
ap-7699	880	27	finiteness	finiteness	NOUN
ap-7699	880	28	there	there	ADV
ap-7699	880	29	.	.	PUNCT
ap-7699	881	1	this	this	PRON
ap-7699	881	2	implies	imply	VERB
ap-7699	881	3	that	that	SCONJ
ap-7699	881	4	there	there	PRON
ap-7699	881	5	is	be	VERB
ap-7699	881	6	an	an	DET
ap-7699	881	7	rg	rg	NOUN
ap-7699	881	8	running	running	NOUN
ap-7699	881	9	and	and	CCONJ
ap-7699	881	10	scale	scale	NOUN
ap-7699	881	11	-	-	PUNCT
ap-7699	881	12	dependence	dependence	NOUN
ap-7699	881	13	of	of	ADP
ap-7699	881	14	couplings	coupling	NOUN
ap-7699	881	15	and	and	CCONJ
ap-7699	881	16	of	of	ADP
ap-7699	881	17	various	various	ADJ
ap-7699	881	18	correlators	correlator	NOUN
ap-7699	881	19	on	on	ADP
ap-7699	881	20	the	the	DET
ap-7699	881	21	renormalization	renormalization	NOUN
ap-7699	881	22	energy	energy	NOUN
ap-7699	881	23	scale	scale	NOUN
ap-7699	881	24	.	.	PUNCT
ap-7699	882	1	hence	hence	ADV
ap-7699	882	2	already	already	ADV
ap-7699	882	3	at	at	ADP
ap-7699	882	4	the	the	DET
ap-7699	882	5	one	one	NUM
ap-7699	882	6	-	-	PUNCT
ap-7699	882	7	loop	loop	NOUN
ap-7699	882	8	level	level	NOUN
ap-7699	882	9	one	one	PRON
ap-7699	882	10	could	could	AUX
ap-7699	882	11	say	say	VERB
ap-7699	882	12	that	that	SCONJ
ap-7699	882	13	scale	scale	NOUN
ap-7699	882	14	-	-	PUNCT
ap-7699	882	15	invariance	invariance	NOUN
ap-7699	882	16	is	be	AUX
ap-7699	882	17	broken	break	VERB
ap-7699	882	18	,	,	PUNCT
ap-7699	882	19	which	which	PRON
ap-7699	882	20	implies	imply	VERB
ap-7699	882	21	violation	violation	NOUN
ap-7699	882	22	of	of	ADP
ap-7699	882	23	conformal	conformal	ADJ
ap-7699	882	24	symmetry	symmetry	NOUN
ap-7699	882	25	too	too	ADV
ap-7699	882	26	.	.	PUNCT
ap-7699	883	1	however	however	ADV
ap-7699	883	2	,	,	PUNCT
ap-7699	883	3	one	one	PRON
ap-7699	883	4	can	can	AUX
ap-7699	883	5	live	live	VERB
ap-7699	883	6	with	with	ADP
ap-7699	883	7	this	this	DET
ap-7699	883	8	semantic	semantic	ADJ
ap-7699	883	9	difference	difference	NOUN
ap-7699	883	10	provided	provide	VERB
ap-7699	883	11	that	that	SCONJ
ap-7699	883	12	there	there	PRON
ap-7699	883	13	are	be	VERB
ap-7699	883	14	no	no	DET
ap-7699	883	15	disastrous	disastrous	ADJ
ap-7699	883	16	consequences	consequence	NOUN
ap-7699	883	17	of	of	ADP
ap-7699	883	18	the	the	DET
ap-7699	883	19	conformal	conformal	ADJ
ap-7699	883	20	anomaly	anomaly	NOUN
ap-7699	883	21	.	.	PUNCT
ap-7699	884	1	one	one	PRON
ap-7699	884	2	can	can	AUX
ap-7699	884	3	adopt	adopt	VERB
ap-7699	884	4	the	the	DET
ap-7699	884	5	point	point	NOUN
ap-7699	884	6	of	of	ADP
ap-7699	884	7	view	view	NOUN
ap-7699	884	8	that	that	SCONJ
ap-7699	884	9	the	the	DET
ap-7699	884	10	theory	theory	NOUN
ap-7699	884	11	at	at	ADP
ap-7699	884	12	the	the	DET
ap-7699	884	13	one	one	NUM
ap-7699	884	14	-	-	PUNCT
ap-7699	884	15	loop	loop	NOUN
ap-7699	884	16	level	level	NOUN
ap-7699	884	17	is	be	AUX
ap-7699	884	18	still	still	ADV
ap-7699	884	19	good	good	ADJ
ap-7699	884	20	provided	provide	VERB
ap-7699	884	21	that	that	SCONJ
ap-7699	884	22	the	the	DET
ap-7699	884	23	uv	uv	NOUN
ap-7699	884	24	-	-	PUNCT
ap-7699	884	25	divergent	divergent	ADJ
ap-7699	884	26	action	action	NOUN
ap-7699	884	27	is	be	AUX
ap-7699	884	28	conformally	conformally	ADV
ap-7699	884	29	invariant	invariant	ADJ
ap-7699	884	30	too	too	ADV
ap-7699	884	31	,	,	PUNCT
ap-7699	884	32	that	that	PRON
ap-7699	884	33	is	be	AUX
ap-7699	884	34	when	when	SCONJ
ap-7699	884	35	one	one	PRON
ap-7699	884	36	has	have	AUX
ap-7699	884	37	only	only	ADV
ap-7699	884	38	conformally	conformally	ADV
ap-7699	884	39	invariant	invariant	ADJ
ap-7699	884	40	uv	uv	NOUN
ap-7699	884	41	counterterms	counterterm	NOUN
ap-7699	884	42	.	.	PUNCT
ap-7699	885	1	(	(	PUNCT
ap-7699	885	2	although	although	SCONJ
ap-7699	885	3	in	in	ADP
ap-7699	885	4	the	the	DET
ap-7699	885	5	strict	strict	ADJ
ap-7699	885	6	meaning	meaning	NOUN
ap-7699	885	7	having	have	VERB
ap-7699	885	8	them	they	PRON
ap-7699	885	9	implies	imply	VERB
ap-7699	885	10	non	non	ADJ
ap-7699	885	11	-	-	ADJ
ap-7699	885	12	vanishing	vanishing	ADJ
ap-7699	885	13	beta	beta	ADJ
ap-7699	885	14	function	function	NOUN
ap-7699	885	15	,	,	PUNCT
ap-7699	885	16	rg	rg	PROPN
ap-7699	885	17	running	running	NOUN
ap-7699	885	18	,	,	PUNCT
ap-7699	885	19	loss	loss	NOUN
ap-7699	885	20	of	of	ADP
ap-7699	885	21	uv	uv	NOUN
ap-7699	885	22	-	-	PUNCT
ap-7699	885	23	finiteness	finiteness	NOUN
ap-7699	885	24	and	and	CCONJ
ap-7699	885	25	of	of	ADP
ap-7699	885	26	scale	scale	NOUN
ap-7699	885	27	-	-	PUNCT
ap-7699	885	28	invariance	invariance	NOUN
ap-7699	885	29	.	.	PUNCT
ap-7699	885	30	)	)	PUNCT
ap-7699	886	1	in	in	ADP
ap-7699	886	2	our	our	PRON
ap-7699	886	3	case	case	NOUN
ap-7699	886	4	the	the	DET
ap-7699	886	5	conformally	conformally	ADV
ap-7699	886	6	invariant	invariant	ADJ
ap-7699	886	7	counterterms	counterterm	NOUN
ap-7699	886	8	are	be	AUX
ap-7699	886	9	only	only	ADV
ap-7699	886	10	of	of	ADP
ap-7699	886	11	the	the	DET
ap-7699	886	12	type	type	NOUN
ap-7699	886	13	c2	c2	PROPN
ap-7699	886	14	and	and	CCONJ
ap-7699	886	15	gb	gb	NOUN
ap-7699	886	16	,	,	PUNCT
ap-7699	886	17	so	so	CCONJ
ap-7699	886	18	if	if	SCONJ
ap-7699	886	19	the	the	DET
ap-7699	886	20	r2	r2	PROPN
ap-7699	886	21	counterterm	counterterm	NOUN
ap-7699	886	22	is	be	AUX
ap-7699	886	23	not	not	PART
ap-7699	886	24	present	present	ADJ
ap-7699	886	25	at	at	ADP
ap-7699	886	26	the	the	DET
ap-7699	886	27	one	one	NUM
ap-7699	886	28	-	-	PUNCT
ap-7699	886	29	loop	loop	NOUN
ap-7699	886	30	level	level	NOUN
ap-7699	886	31	,	,	PUNCT
ap-7699	886	32	then	then	ADV
ap-7699	886	33	we	we	PRON
ap-7699	886	34	can	can	AUX
ap-7699	886	35	speak	speak	VERB
ap-7699	886	36	about	about	ADP
ap-7699	886	37	this	this	DET
ap-7699	886	38	preserved	preserve	VERB
ap-7699	886	39	quantum	quantum	NOUN
ap-7699	886	40	conformality	conformality	NOUN
ap-7699	886	41	in	in	ADP
ap-7699	886	42	the	the	DET
ap-7699	886	43	second	second	ADJ
ap-7699	886	44	sense	sense	NOUN
ap-7699	886	45	.	.	PUNCT
ap-7699	887	1	it	it	PRON
ap-7699	887	2	happens	happen	VERB
ap-7699	887	3	this	this	PRON
ap-7699	887	4	is	be	AUX
ap-7699	887	5	exactly	exactly	ADV
ap-7699	887	6	the	the	DET
ap-7699	887	7	situation	situation	NOUN
ap-7699	887	8	we	we	PRON
ap-7699	887	9	meet	meet	VERB
ap-7699	887	10	for	for	ADP
ap-7699	887	11	quantum	quantum	NOUN
ap-7699	887	12	conformal	conformal	NOUN
ap-7699	887	13	gravity	gravity	NOUN
ap-7699	887	14	in	in	ADP
ap-7699	887	15	d	d	PROPN
ap-7699	887	16	=	=	SYM
ap-7699	887	17	4	4	NUM
ap-7699	887	18	at	at	ADP
ap-7699	887	19	the	the	DET
ap-7699	887	20	one	one	NUM
ap-7699	887	21	-	-	PUNCT
ap-7699	887	22	loop	loop	NOUN
ap-7699	887	23	level	level	NOUN
ap-7699	887	24	.	.	PUNCT
ap-7699	888	1	in	in	ADP
ap-7699	888	2	order	order	NOUN
ap-7699	888	3	to	to	PART
ap-7699	888	4	see	see	VERB
ap-7699	888	5	quantum	quantum	ADJ
ap-7699	888	6	conformality	conformality	NOUN
ap-7699	888	7	of	of	ADP
ap-7699	888	8	one	one	NUM
ap-7699	888	9	-	-	PUNCT
ap-7699	888	10	loop	loop	NOUN
ap-7699	888	11	level	level	NOUN
ap-7699	888	12	conformal	conformal	NOUN
ap-7699	888	13	gravity	gravity	NOUN
ap-7699	888	14	in	in	ADP
ap-7699	888	15	d	d	PROPN
ap-7699	888	16	=	=	SYM
ap-7699	888	17	4	4	NUM
ap-7699	888	18	described	describe	VERB
ap-7699	888	19	by	by	ADP
ap-7699	888	20	the	the	DET
ap-7699	888	21	action	action	NOUN
ap-7699	888	22	,	,	PUNCT
ap-7699	888	23	one	one	NUM
ap-7699	888	24	first	first	ADV
ap-7699	888	25	naively	naively	ADV
ap-7699	888	26	may	may	AUX
ap-7699	888	27	try	try	VERB
ap-7699	888	28	to	to	PART
ap-7699	888	29	take	take	VERB
ap-7699	888	30	the	the	DET
ap-7699	888	31	limit	limit	NOUN
ap-7699	888	32	x	x	PUNCT
ap-7699	889	1	→	→	SYM
ap-7699	889	2	+	+	NUM
ap-7699	889	3	∞	∞	PROPN
ap-7699	889	4	from	from	ADP
ap-7699	889	5	the	the	DET
ap-7699	889	6	expression	expression	NOUN
ap-7699	889	7	for	for	ADP
ap-7699	889	8	the	the	DET
ap-7699	889	9	r2	r2	PROPN
ap-7699	889	10	sector	sector	NOUN
ap-7699	889	11	of	of	ADP
ap-7699	889	12	uv	uv	NOUN
ap-7699	889	13	divergences	divergence	NOUN
ap-7699	889	14	from	from	ADP
ap-7699	889	15	formula	formula	NOUN
ap-7699	889	16	in	in	ADP
ap-7699	889	17	(	(	PUNCT
ap-7699	889	18	34	34	NUM
ap-7699	889	19	)	)	PUNCT
ap-7699	889	20	.	.	PUNCT
ap-7699	890	1	one	one	PRON
ap-7699	890	2	would	would	AUX
ap-7699	890	3	end	end	VERB
ap-7699	890	4	up	up	ADP
ap-7699	890	5	with	with	ADP
ap-7699	890	6	the	the	DET
ap-7699	890	7	results	result	NOUN
ap-7699	890	8	,	,	PUNCT
ap-7699	890	9	just	just	ADV
ap-7699	890	10	a	a	DET
ap-7699	890	11	constant	constant	ADJ
ap-7699	890	12	a0	a0	NOUN
ap-7699	890	13	,	,	PUNCT
ap-7699	890	14	which	which	PRON
ap-7699	890	15	is	be	AUX
ap-7699	890	16	generally	generally	ADV
ap-7699	890	17	not	not	PART
ap-7699	890	18	zero	zero	NUM
ap-7699	890	19	.	.	PUNCT
ap-7699	891	1	the	the	DET
ap-7699	891	2	whole	whole	ADJ
ap-7699	891	3	story	story	NOUN
ap-7699	891	4	is	be	AUX
ap-7699	891	5	again	again	ADV
ap-7699	891	6	more	more	ADV
ap-7699	891	7	subtle	subtle	ADJ
ap-7699	891	8	,	,	PUNCT
ap-7699	891	9	since	since	SCONJ
ap-7699	891	10	the	the	DET
ap-7699	891	11	limits	limit	NOUN
ap-7699	891	12	in	in	ADP
ap-7699	891	13	this	this	DET
ap-7699	891	14	case	case	NOUN
ap-7699	891	15	are	be	AUX
ap-7699	891	16	again	again	ADV
ap-7699	891	17	not	not	PART
ap-7699	891	18	continuous	continuous	ADJ
ap-7699	891	19	,	,	PUNCT
ap-7699	891	20	although	although	SCONJ
ap-7699	891	21	as	as	SCONJ
ap-7699	891	22	we	we	PRON
ap-7699	891	23	advocated	advocate	VERB
ap-7699	891	24	above	above	ADP
ap-7699	891	25	they	they	PRON
ap-7699	891	26	are	be	AUX
ap-7699	891	27	luckily	luckily	ADV
ap-7699	891	28	also	also	ADV
ap-7699	891	29	not	not	PART
ap-7699	891	30	divergent	divergent	ADJ
ap-7699	891	31	,	,	PUNCT
ap-7699	891	32	when	when	SCONJ
ap-7699	891	33	we	we	PRON
ap-7699	891	34	want	want	VERB
ap-7699	891	35	to	to	PART
ap-7699	891	36	send	send	VERB
ap-7699	891	37	θr	θr	PRON
ap-7699	891	38	→	→	SYM
ap-7699	891	39	0	0	X
ap-7699	891	40	.	.	PUNCT
ap-7699	892	1	in	in	ADP
ap-7699	892	2	the	the	DET
ap-7699	892	3	end	end	NOUN
ap-7699	892	4	,	,	PUNCT
ap-7699	892	5	we	we	PRON
ap-7699	892	6	have	have	VERB
ap-7699	892	7	only	only	ADV
ap-7699	892	8	a	a	DET
ap-7699	892	9	finite	finite	ADJ
ap-7699	892	10	discrepancy	discrepancy	NOUN
ap-7699	892	11	in	in	ADP
ap-7699	892	12	numbers	number	NOUN
ap-7699	892	13	,	,	PUNCT
ap-7699	892	14	which	which	PRON
ap-7699	892	15	can	can	AUX
ap-7699	892	16	be	be	AUX
ap-7699	892	17	easily	easily	ADV
ap-7699	892	18	explained	explain	VERB
ap-7699	892	19	.	.	PUNCT
ap-7699	893	1	as	as	SCONJ
ap-7699	893	2	emphasized	emphasize	VERB
ap-7699	893	3	above	above	ADV
ap-7699	893	4	in	in	ADP
ap-7699	893	5	this	this	DET
ap-7699	893	6	case	case	NOUN
ap-7699	893	7	of	of	ADP
ap-7699	893	8	the	the	DET
ap-7699	893	9	special	special	ADJ
ap-7699	893	10	reduced	reduce	VERB
ap-7699	893	11	model	model	NOUN
ap-7699	893	12	we	we	PRON
ap-7699	893	13	have	have	VERB
ap-7699	893	14	the	the	DET
ap-7699	893	15	enhancement	enhancement	NOUN
ap-7699	893	16	of	of	ADP
ap-7699	893	17	symmetries	symmetry	NOUN
ap-7699	893	18	and	and	CCONJ
ap-7699	893	19	this	this	DET
ap-7699	893	20	new	new	ADJ
ap-7699	893	21	emergent	emergent	ADJ
ap-7699	893	22	conformal	conformal	NOUN
ap-7699	893	23	symmetry	symmetry	NOUN
ap-7699	893	24	in	in	ADP
ap-7699	893	25	the	the	DET
ap-7699	893	26	local	local	ADJ
ap-7699	893	27	version	version	NOUN
ap-7699	893	28	must	must	AUX
ap-7699	893	29	be	be	AUX
ap-7699	893	30	gauge	gauge	ADV
ap-7699	893	31	-	-	PUNCT
ap-7699	893	32	fixed	fix	VERB
ap-7699	893	33	too	too	ADV
ap-7699	893	34	.	.	PUNCT
ap-7699	894	1	this	this	PRON
ap-7699	894	2	means	mean	VERB
ap-7699	894	3	that	that	SCONJ
ap-7699	894	4	the	the	DET
ap-7699	894	5	kinetic	kinetic	ADJ
ap-7699	894	6	operator	operator	NOUN
ap-7699	894	7	needs	need	VERB
ap-7699	894	8	to	to	PART
ap-7699	894	9	be	be	AUX
ap-7699	894	10	modified	modify	VERB
ap-7699	894	11	and	and	CCONJ
ap-7699	894	12	some	some	DET
ap-7699	894	13	new	new	ADJ
ap-7699	894	14	conformal	conformal	NOUN
ap-7699	894	15	gauge	gauge	NOUN
ap-7699	894	16	-	-	PUNCT
ap-7699	894	17	fixing	fix	VERB
ap-7699	894	18	functional	functional	NOUN
ap-7699	894	19	must	must	AUX
ap-7699	894	20	be	be	AUX
ap-7699	894	21	added	add	VERB
ap-7699	894	22	to	to	ADP
ap-7699	894	23	it	it	PRON
ap-7699	894	24	for	for	ADP
ap-7699	894	25	the	the	DET
ap-7699	894	26	consistency	consistency	NOUN
ap-7699	894	27	of	of	ADP
ap-7699	894	28	the	the	DET
ap-7699	894	29	generalized	generalize	VERB
ap-7699	894	30	faddeev	faddeev	NOUN
ap-7699	894	31	-	-	PUNCT
ap-7699	894	32	popov	popov	NOUN
ap-7699	894	33	quantization	quantization	NOUN
ap-7699	894	34	prescription	prescription	NOUN
ap-7699	894	35	of	of	ADP
ap-7699	894	36	theories	theory	NOUN
ap-7699	894	37	with	with	ADP
ap-7699	894	38	local	local	ADJ
ap-7699	894	39	gauge	gauge	NOUN
ap-7699	894	40	symmetries	symmetry	NOUN
ap-7699	894	41	.	.	PUNCT
ap-7699	895	1	this	this	PRON
ap-7699	895	2	means	mean	VERB
ap-7699	895	3	that	that	SCONJ
ap-7699	895	4	we	we	PRON
ap-7699	895	5	will	will	AUX
ap-7699	895	6	also	also	ADV
ap-7699	895	7	have	have	VERB
ap-7699	895	8	a	a	DET
ap-7699	895	9	new	new	ADJ
ap-7699	895	10	conformal	conformal	NOUN
ap-7699	895	11	gauge	gauge	NOUN
ap-7699	895	12	-	-	PUNCT
ap-7699	895	13	fixing	fix	VERB
ap-7699	895	14	parameter	parameter	NOUN
ap-7699	895	15	(	(	PUNCT
ap-7699	895	16	the	the	DET
ap-7699	895	17	fourth	fourth	ADJ
ap-7699	895	18	one	one	NUM
ap-7699	895	19	)	)	PUNCT
ap-7699	895	20	,	,	PUNCT
ap-7699	895	21	which	which	PRON
ap-7699	895	22	can	can	AUX
ap-7699	895	23	be	be	AUX
ap-7699	895	24	suitably	suitably	ADV
ap-7699	895	25	adjusted	adjust	VERB
ap-7699	895	26	to	to	PART
ap-7699	895	27	provide	provide	VERB
ap-7699	895	28	again	again	ADV
ap-7699	895	29	the	the	DET
ap-7699	895	30	minimality	minimality	NOUN
ap-7699	895	31	of	of	ADP
ap-7699	895	32	the	the	DET
ap-7699	895	33	hessian	hessian	ADJ
ap-7699	895	34	operator	operator	NOUN
ap-7699	895	35	.	.	PUNCT
ap-7699	896	1	although	although	SCONJ
ap-7699	896	2	,	,	PUNCT
ap-7699	896	3	of	of	ADP
ap-7699	896	4	course	course	NOUN
ap-7699	896	5	,	,	PUNCT
ap-7699	896	6	the	the	DET
ap-7699	896	7	whole	whole	ADJ
ap-7699	896	8	details	detail	NOUN
ap-7699	896	9	of	of	ADP
ap-7699	896	10	the	the	DET
ap-7699	896	11	covariant	covariant	ADJ
ap-7699	896	12	quantization	quantization	NOUN
ap-7699	896	13	procedure	procedure	NOUN
ap-7699	896	14	for	for	ADP
ap-7699	896	15	conformal	conformal	ADJ
ap-7699	896	16	gravity	gravity	NOUN
ap-7699	896	17	are	be	AUX
ap-7699	896	18	more	more	ADV
ap-7699	896	19	delicate	delicate	ADJ
ap-7699	896	20	and	and	CCONJ
ap-7699	896	21	more	more	ADV
ap-7699	896	22	subtle	subtle	ADJ
ap-7699	896	23	,	,	PUNCT
ap-7699	896	24	here	here	ADV
ap-7699	896	25	we	we	PRON
ap-7699	896	26	can	can	AUX
ap-7699	896	27	just	just	ADV
ap-7699	896	28	take	take	VERB
ap-7699	896	29	a	a	DET
ap-7699	896	30	shortcut	shortcut	NOUN
ap-7699	896	31	and	and	CCONJ
ap-7699	896	32	pinpoint	pinpoint	VERB
ap-7699	896	33	the	the	DET
ap-7699	896	34	main	main	ADJ
ap-7699	896	35	points	point	NOUN
ap-7699	896	36	of	of	ADP
ap-7699	896	37	attention	attention	NOUN
ap-7699	896	38	.	.	PUNCT
ap-7699	897	1	when	when	SCONJ
ap-7699	897	2	computing	compute	VERB
ap-7699	897	3	uv	uv	NOUN
ap-7699	897	4	divergences	divergence	NOUN
ap-7699	897	5	using	use	VERB
ap-7699	897	6	generally	generally	ADV
ap-7699	897	7	covariant	covariant	ADJ
ap-7699	897	8	methods	method	NOUN
ap-7699	897	9	like	like	ADP
ap-7699	897	10	bv	bv	PROPN
ap-7699	897	11	trace	trace	NOUN
ap-7699	897	12	technology	technology	NOUN
ap-7699	897	13	and	and	CCONJ
ap-7699	897	14	functional	functional	ADJ
ap-7699	897	15	traces	trace	NOUN
ap-7699	897	16	of	of	ADP
ap-7699	897	17	logarithms	logarithm	NOUN
ap-7699	897	18	of	of	ADP
ap-7699	897	19	operators	operator	NOUN
ap-7699	897	20	,	,	PUNCT
ap-7699	897	21	one	one	NOUN
ap-7699	897	22	also	also	ADV
ap-7699	897	23	necessarily	necessarily	ADV
ap-7699	897	24	needs	need	VERB
ap-7699	897	25	to	to	PART
ap-7699	897	26	add	add	VERB
ap-7699	897	27	here	here	ADV
ap-7699	897	28	the	the	DET
ap-7699	897	29	contribution	contribution	NOUN
ap-7699	897	30	of	of	ADP
ap-7699	897	31	the	the	DET
ap-7699	897	32	third	third	ADJ
ap-7699	897	33	conformal	conformal	ADJ
ap-7699	897	34	ghosts	ghost	NOUN
ap-7699	897	35	,	,	PUNCT
ap-7699	897	36	which	which	PRON
ap-7699	897	37	are	be	AUX
ap-7699	897	38	scalars	scalar	NOUN
ap-7699	897	39	from	from	ADP
ap-7699	897	40	the	the	DET
ap-7699	897	41	point	point	NOUN
ap-7699	897	42	of	of	ADP
ap-7699	897	43	view	view	NOUN
ap-7699	897	44	of	of	ADP
ap-7699	897	45	lorentz	lorentz	PROPN
ap-7699	897	46	symmetry	symmetry	NOUN
ap-7699	897	47	but	but	CCONJ
ap-7699	897	48	they	they	PRON
ap-7699	897	49	come	come	VERB
ap-7699	897	50	with	with	ADP
ap-7699	897	51	anti	anti	ADJ
ap-7699	897	52	-	-	ADJ
ap-7699	897	53	commuting	commuting	ADJ
ap-7699	897	54	statistics	statistic	NOUN
ap-7699	897	55	.	.	PUNCT
ap-7699	898	1	they	they	PRON
ap-7699	898	2	are	be	AUX
ap-7699	898	3	needed	need	VERB
ap-7699	898	4	here	here	ADV
ap-7699	898	5	because	because	SCONJ
ap-7699	898	6	the	the	DET
ap-7699	898	7	conformal	conformal	ADJ
ap-7699	898	8	gravity	gravity	NOUN
ap-7699	898	9	theory	theory	NOUN
ap-7699	898	10	is	be	AUX
ap-7699	898	11	a	a	DET
ap-7699	898	12	natural	natural	ADJ
ap-7699	898	13	hd	hd	NOUN
ap-7699	898	14	theory	theory	NOUN
ap-7699	898	15	and	and	CCONJ
ap-7699	898	16	then	then	ADV
ap-7699	898	17	third	third	ADJ
ap-7699	898	18	ghosts	ghost	NOUN
ap-7699	898	19	are	be	AUX
ap-7699	898	20	necessary	necessary	ADJ
ap-7699	898	21	for	for	ADP
ap-7699	898	22	covariant	covariant	ADJ
ap-7699	898	23	treatment	treatment	NOUN
ap-7699	898	24	of	of	ADP
ap-7699	898	25	any	any	DET
ap-7699	898	26	gauge	gauge	NOUN
ap-7699	898	27	symmetry	symmetry	NOUN
ap-7699	898	28	in	in	ADP
ap-7699	898	29	the	the	DET
ap-7699	898	30	local	local	ADJ
ap-7699	898	31	form	form	NOUN
ap-7699	898	32	.	.	PUNCT
ap-7699	899	1	it	it	PRON
ap-7699	899	2	is	be	AUX
ap-7699	899	3	true	true	ADJ
ap-7699	899	4	that	that	SCONJ
ap-7699	899	5	for	for	ADP
ap-7699	899	6	conformal	conformal	ADJ
ap-7699	899	7	local	local	ADJ
ap-7699	899	8	symmetry	symmetry	NOUN
ap-7699	899	9	we	we	PRON
ap-7699	899	10	do	do	AUX
ap-7699	899	11	not	not	PART
ap-7699	899	12	need	need	VERB
ap-7699	899	13	fp	fp	NOUN
ap-7699	899	14	ghost	ghost	NOUN
ap-7699	899	15	fields	field	NOUN
ap-7699	899	16	(	(	PUNCT
ap-7699	899	17	because	because	SCONJ
ap-7699	899	18	of	of	ADP
ap-7699	899	19	the	the	DET
ap-7699	899	20	reasons	reason	NOUN
ap-7699	899	21	elucidated	elucidate	VERB
ap-7699	899	22	above	above	ADP
ap-7699	899	23	)	)	PUNCT
ap-7699	899	24	,	,	PUNCT
ap-7699	899	25	but	but	CCONJ
ap-7699	899	26	we	we	PRON
ap-7699	899	27	need	need	VERB
ap-7699	899	28	a	a	DET
ap-7699	899	29	new	new	ADJ
ap-7699	899	30	third	third	ADJ
ap-7699	899	31	conformal	conformal	NOUN
ap-7699	899	32	ghost	ghost	NOUN
ap-7699	899	33	,	,	PUNCT
ap-7699	899	34	which	which	PRON
ap-7699	899	35	is	be	AUX
ap-7699	899	36	moreover	moreover	ADV
ap-7699	899	37	independent	independent	ADJ
ap-7699	899	38	from	from	ADP
ap-7699	899	39	the	the	DET
ap-7699	899	40	third	third	ADJ
ap-7699	899	41	ghost	ghost	NOUN
ap-7699	899	42	of	of	ADP
ap-7699	899	43	diffeomorphism	diffeomorphism	NOUN
ap-7699	899	44	symmetry	symmetry	NOUN
ap-7699	899	45	.	.	PUNCT
ap-7699	900	1	each	each	DET
ap-7699	900	2	symmetry	symmetry	NOUN
ap-7699	900	3	with	with	ADP
ap-7699	900	4	local	local	ADJ
ap-7699	900	5	realization	realization	NOUN
ap-7699	900	6	comes	come	VERB
ap-7699	900	7	with	with	ADP
ap-7699	900	8	its	its	PRON
ap-7699	900	9	own	own	ADJ
ap-7699	900	10	set	set	NOUN
ap-7699	900	11	of	of	ADP
ap-7699	900	12	third	third	ADJ
ap-7699	900	13	ghosts	ghost	NOUN
ap-7699	900	14	,	,	PUNCT
ap-7699	900	15	when	when	SCONJ
ap-7699	900	16	the	the	DET
ap-7699	900	17	theory	theory	NOUN
ap-7699	900	18	is	be	AUX
ap-7699	900	19	with	with	ADP
ap-7699	900	20	higher	high	ADJ
ap-7699	900	21	derivatives	derivative	NOUN
ap-7699	900	22	.	.	PUNCT
ap-7699	901	1	it	it	PRON
ap-7699	901	2	is	be	AUX
ap-7699	901	3	also	also	ADV
ap-7699	901	4	well	well	ADV
ap-7699	901	5	known	know	VERB
ap-7699	901	6	that	that	SCONJ
ap-7699	901	7	classically	classically	ADV
ap-7699	901	8	conformal	conformal	ADJ
ap-7699	901	9	fields	field	NOUN
ap-7699	901	10	(	(	PUNCT
ap-7699	901	11	like	like	ADP
ap-7699	901	12	massless	massless	NOUN
ap-7699	901	13	gauge	gauge	NOUN
ap-7699	901	14	fields	field	NOUN
ap-7699	901	15	of	of	ADP
ap-7699	901	16	electromagnetism	electromagnetism	NOUN
ap-7699	901	17	and	and	CCONJ
ap-7699	901	18	also	also	ADV
ap-7699	901	19	of	of	ADP
ap-7699	901	20	yang	yang	PROPN
ap-7699	901	21	-	-	PUNCT
ap-7699	901	22	mills	mill	NOUN
ap-7699	901	23	theory	theory	NOUN
ap-7699	901	24	)	)	PUNCT
ap-7699	901	25	give	give	VERB
ap-7699	901	26	contribution	contribution	NOUN
ap-7699	901	27	to	to	ADP
ap-7699	901	28	divergences	divergence	NOUN
ap-7699	901	29	which	which	PRON
ap-7699	901	30	is	be	AUX
ap-7699	901	31	conformally	conformally	ADV
ap-7699	901	32	invariant	invariant	ADJ
ap-7699	901	33	counterterm	counterterm	NOUN
ap-7699	901	34	,	,	PUNCT
ap-7699	901	35	so	so	SCONJ
ap-7699	901	36	only	only	ADV
ap-7699	901	37	of	of	ADP
ap-7699	901	38	the	the	DET
ap-7699	901	39	type	type	NOUN
ap-7699	901	40	c2	c2	PROPN
ap-7699	901	41	or	or	CCONJ
ap-7699	901	42	gb	gb	ADP
ap-7699	901	43	terms	term	NOUN
ap-7699	901	44	.	.	PUNCT
ap-7699	902	1	this	this	PRON
ap-7699	902	2	can	can	AUX
ap-7699	902	3	be	be	AUX
ap-7699	902	4	understood	understand	VERB
ap-7699	902	5	easily	easily	ADV
ap-7699	902	6	as	as	ADP
ap-7699	902	7	a	a	DET
ap-7699	902	8	kind	kind	NOUN
ap-7699	902	9	of	of	ADP
ap-7699	902	10	conformal	conformal	ADJ
ap-7699	902	11	version	version	NOUN
ap-7699	902	12	of	of	ADP
ap-7699	902	13	the	the	DET
ap-7699	902	14	dewitt	dewitt	PROPN
ap-7699	902	15	-	-	PUNCT
ap-7699	902	16	utiyama	utiyama	PROPN
ap-7699	902	17	argument	argument	NOUN
ap-7699	902	18	used	use	VERB
ap-7699	902	19	before	before	ADV
ap-7699	902	20	.	.	PUNCT
ap-7699	903	1	hence	hence	ADV
ap-7699	903	2	,	,	PUNCT
ap-7699	903	3	if	if	SCONJ
ap-7699	903	4	the	the	DET
ap-7699	903	5	scalars	scalar	NOUN
ap-7699	903	6	of	of	ADP
ap-7699	903	7	the	the	DET
ap-7699	903	8	anti	anti	ADJ
ap-7699	903	9	-	-	ADJ
ap-7699	903	10	commuting	commuting	ADJ
ap-7699	903	11	type	type	NOUN
ap-7699	903	12	that	that	PRON
ap-7699	903	13	we	we	PRON
ap-7699	903	14	have	have	VERB
ap-7699	903	15	to	to	PART
ap-7699	903	16	subtract	subtract	VERB
ap-7699	903	17	were	be	AUX
ap-7699	903	18	conformally	conformally	ADV
ap-7699	903	19	coupled	couple	VERB
ap-7699	903	20	,	,	PUNCT
ap-7699	903	21	then	then	ADV
ap-7699	903	22	they	they	PRON
ap-7699	903	23	will	will	AUX
ap-7699	903	24	not	not	PART
ap-7699	903	25	contribute	contribute	VERB
ap-7699	903	26	anything	anything	PRON
ap-7699	903	27	to	to	ADP
ap-7699	903	28	the	the	DET
ap-7699	903	29	r2	r2	PROPN
ap-7699	903	30	type	type	NOUN
ap-7699	903	31	of	of	ADP
ap-7699	903	32	the	the	DET
ap-7699	903	33	counterterm	counterterm	NOUN
ap-7699	903	34	.	.	PUNCT
ap-7699	904	1	but	but	CCONJ
ap-7699	904	2	we	we	PRON
ap-7699	904	3	see	see	VERB
ap-7699	904	4	from	from	ADP
ap-7699	904	5	the	the	DET
ap-7699	904	6	formula	formula	NOUN
ap-7699	904	7	in	in	ADP
ap-7699	904	8	(	(	PUNCT
ap-7699	904	9	34	34	NUM
ap-7699	904	10	)	)	PUNCT
ap-7699	904	11	that	that	SCONJ
ap-7699	904	12	the	the	DET
ap-7699	904	13	a0	a0	PROPN
ap-7699	904	14	coefficient	coefficient	NOUN
ap-7699	904	15	there	there	PRON
ap-7699	904	16	is	be	VERB
ap-7699	904	17	non	non	ADJ
ap-7699	904	18	-	-	ADJ
ap-7699	904	19	zero	zero	NUM
ap-7699	904	20	,	,	PUNCT
ap-7699	904	21	so	so	SCONJ
ap-7699	904	22	only	only	ADV
ap-7699	904	23	this	this	DET
ap-7699	904	24	one	one	NOUN
ap-7699	904	25	survives	survive	VERB
ap-7699	904	26	after	after	ADP
ap-7699	904	27	the	the	DET
ap-7699	904	28	limit	limit	NOUN
ap-7699	904	29	x	x	PUNCT
ap-7699	904	30	→	→	SYM
ap-7699	904	31	∞	∞	PROPN
ap-7699	904	32	is	be	AUX
ap-7699	904	33	taken	take	VERB
ap-7699	904	34	.	.	PUNCT
ap-7699	905	1	to	to	PART
ap-7699	905	2	cancel	cancel	VERB
ap-7699	905	3	the	the	DET
ap-7699	905	4	r2	r2	PROPN
ap-7699	905	5	counterterm	counterterm	NOUN
ap-7699	905	6	is	be	AUX
ap-7699	905	7	crucial	crucial	ADJ
ap-7699	905	8	for	for	ADP
ap-7699	905	9	the	the	DET
ap-7699	905	10	hypothesized	hypothesized	ADJ
ap-7699	905	11	conformal	conformal	ADJ
ap-7699	905	12	invariance	invariance	NOUN
ap-7699	905	13	of	of	ADP
ap-7699	905	14	the	the	DET
ap-7699	905	15	conformal	conformal	NOUN
ap-7699	905	16	gravity	gravity	NOUN
ap-7699	905	17	also	also	ADV
ap-7699	905	18	on	on	ADP
ap-7699	905	19	the	the	DET
ap-7699	905	20	first	first	ADJ
ap-7699	905	21	loop	loop	NOUN
ap-7699	905	22	quantum	quantum	ADJ
ap-7699	905	23	level	level	NOUN
ap-7699	905	24	.	.	PUNCT
ap-7699	906	1	and	and	CCONJ
ap-7699	906	2	this	this	PRON
ap-7699	906	3	must	must	AUX
ap-7699	906	4	be	be	AUX
ap-7699	906	5	done	do	VERB
ap-7699	906	6	by	by	ADP
ap-7699	906	7	explicitly	explicitly	ADV
ap-7699	906	8	non	non	ADJ
ap-7699	906	9	-	-	ADJ
ap-7699	906	10	conformal	conformal	ADJ
ap-7699	906	11	fields	field	NOUN
ap-7699	906	12	with	with	ADP
ap-7699	906	13	non	non	ADJ
ap-7699	906	14	-	-	ADJ
ap-7699	906	15	conformal	conformal	ADJ
ap-7699	906	16	contributions	contribution	NOUN
ap-7699	906	17	to	to	ADP
ap-7699	906	18	divergences	divergence	NOUN
ap-7699	906	19	.	.	PUNCT
ap-7699	907	1	they	they	PRON
ap-7699	907	2	can	can	AUX
ap-7699	907	3	not	not	PART
ap-7699	907	4	be	be	AUX
ap-7699	907	5	massless	massless	ADJ
ap-7699	907	6	gauge	gauge	NOUN
ap-7699	907	7	fields	field	NOUN
ap-7699	907	8	,	,	PUNCT
ap-7699	907	9	but	but	CCONJ
ap-7699	907	10	they	they	PRON
ap-7699	907	11	can	can	AUX
ap-7699	907	12	be	be	AUX
ap-7699	907	13	minimally	minimally	ADV
ap-7699	907	14	,	,	PUNCT
ap-7699	907	15	so	so	ADV
ap-7699	907	16	not	not	PART
ap-7699	907	17	conformally	conformally	ADV
ap-7699	907	18	coupled	couple	VERB
ap-7699	907	19	scalar	scalar	ADJ
ap-7699	907	20	fields	field	NOUN
ap-7699	907	21	.	.	PUNCT
ap-7699	908	1	here	here	ADV
ap-7699	908	2	for	for	ADP
ap-7699	908	3	the	the	DET
ap-7699	908	4	consistency	consistency	NOUN
ap-7699	908	5	of	of	ADP
ap-7699	908	6	the	the	DET
ap-7699	908	7	whole	whole	ADJ
ap-7699	908	8	formalism	formalism	NOUN
ap-7699	908	9	of	of	ADP
ap-7699	908	10	the	the	DET
ap-7699	908	11	fp	fp	PROPN
ap-7699	908	12	covariant	covariant	ADJ
ap-7699	908	13	quantization	quantization	NOUN
ap-7699	908	14	142	142	NUM
ap-7699	908	15	vol	vol	NOUN
ap-7699	908	16	.	.	PUNCT
ap-7699	909	1	62	62	NUM
ap-7699	909	2	no	no	INTJ
ap-7699	909	3	.	.	PUNCT
ap-7699	910	1	1/2022	1/2022	NUM
ap-7699	910	2	beta	beta	NOUN
ap-7699	910	3	functions	function	NOUN
ap-7699	910	4	in	in	ADP
ap-7699	910	5	six	six	NUM
ap-7699	910	6	-	-	PUNCT
ap-7699	910	7	derivative	derivative	ADJ
ap-7699	910	8	quantum	quantum	NOUN
ap-7699	910	9	gravity	gravity	NOUN
ap-7699	910	10	of	of	ADP
ap-7699	910	11	conformal	conformal	ADJ
ap-7699	910	12	gravity	gravity	NOUN
ap-7699	910	13	,	,	PUNCT
ap-7699	910	14	this	this	DET
ap-7699	910	15	role	role	NOUN
ap-7699	910	16	is	be	AUX
ap-7699	910	17	played	play	VERB
ap-7699	910	18	by	by	ADP
ap-7699	910	19	the	the	DET
ap-7699	910	20	one	one	NUM
ap-7699	910	21	real	real	ADJ
ap-7699	910	22	conformal	conformal	ADJ
ap-7699	910	23	third	third	ADJ
ap-7699	910	24	ghost	ghost	NOUN
ap-7699	910	25	with	with	ADP
ap-7699	910	26	the	the	DET
ap-7699	910	27	kinetic	kinetic	ADJ
ap-7699	910	28	operator	operator	NOUN
ap-7699	910	29	□	□	SYM
ap-7699	910	30	2	2	NUM
ap-7699	910	31	.	.	PUNCT
ap-7699	911	1	the	the	DET
ap-7699	911	2	contribution	contribution	NOUN
ap-7699	911	3	of	of	ADP
ap-7699	911	4	the	the	DET
ap-7699	911	5	third	third	ADJ
ap-7699	911	6	conformal	conformal	ADJ
ap-7699	911	7	ghosts	ghost	NOUN
ap-7699	911	8	is	be	AUX
ap-7699	911	9	what	what	PRON
ap-7699	911	10	we	we	PRON
ap-7699	911	11	actually	actually	ADV
ap-7699	911	12	need	need	VERB
ap-7699	911	13	to	to	PART
ap-7699	911	14	complete	complete	VERB
ap-7699	911	15	the	the	DET
ap-7699	911	16	whole	whole	ADJ
ap-7699	911	17	process	process	NOUN
ap-7699	911	18	of	of	ADP
ap-7699	911	19	the	the	DET
ap-7699	911	20	computation	computation	NOUN
ap-7699	911	21	of	of	ADP
ap-7699	911	22	the	the	DET
ap-7699	911	23	uv	uv	NOUN
ap-7699	911	24	divergences	divergence	NOUN
ap-7699	911	25	in	in	ADP
ap-7699	911	26	the	the	DET
ap-7699	911	27	conformal	conformal	ADJ
ap-7699	911	28	gravity	gravity	NOUN
ap-7699	911	29	model	model	NOUN
ap-7699	911	30	.	.	PUNCT
ap-7699	912	1	we	we	PRON
ap-7699	912	2	need	need	VERB
ap-7699	912	3	them	they	PRON
ap-7699	912	4	for	for	ADP
ap-7699	912	5	the	the	DET
ap-7699	912	6	overall	overall	ADJ
ap-7699	912	7	consistency	consistency	NOUN
ap-7699	912	8	since	since	SCONJ
ap-7699	912	9	in	in	ADP
ap-7699	912	10	this	this	DET
ap-7699	912	11	covariant	covariant	ADJ
ap-7699	912	12	framework	framework	NOUN
ap-7699	912	13	we	we	PRON
ap-7699	912	14	can	can	AUX
ap-7699	912	15	not	not	PART
ap-7699	912	16	a	a	DET
ap-7699	912	17	posteriori	posteriori	NOUN
ap-7699	912	18	check	check	VERB
ap-7699	912	19	the	the	DET
ap-7699	912	20	presence	presence	NOUN
ap-7699	912	21	of	of	ADP
ap-7699	912	22	all	all	DET
ap-7699	912	23	gauge	gauge	NOUN
ap-7699	912	24	invariances	invariance	NOUN
ap-7699	912	25	.	.	PUNCT
ap-7699	913	1	here	here	ADV
ap-7699	913	2	we	we	PRON
ap-7699	913	3	assume	assume	VERB
ap-7699	913	4	that	that	SCONJ
ap-7699	913	5	on	on	ADP
ap-7699	913	6	the	the	DET
ap-7699	913	7	first	first	ADJ
ap-7699	913	8	quantum	quantum	NOUN
ap-7699	913	9	loop	loop	NOUN
ap-7699	913	10	level	level	NOUN
ap-7699	913	11	,	,	PUNCT
ap-7699	913	12	the	the	DET
ap-7699	913	13	conformal	conformal	ADJ
ap-7699	913	14	gravity	gravity	NOUN
ap-7699	913	15	model	model	NOUN
ap-7699	913	16	enjoys	enjoy	VERB
ap-7699	913	17	fully	fully	ADV
ap-7699	913	18	diffeomorphism	diffeomorphism	NOUN
ap-7699	913	19	as	as	ADV
ap-7699	913	20	well	well	ADV
ap-7699	913	21	as	as	ADP
ap-7699	913	22	conformal	conformal	ADJ
ap-7699	913	23	symmetry	symmetry	NOUN
ap-7699	913	24	.	.	PUNCT
ap-7699	914	1	the	the	DET
ap-7699	914	2	terms	term	NOUN
ap-7699	914	3	given	give	VERB
ap-7699	914	4	in	in	ADP
ap-7699	914	5	the	the	DET
ap-7699	914	6	covariant	covariant	ADJ
ap-7699	914	7	bv	bv	PROPN
ap-7699	914	8	framework	framework	NOUN
ap-7699	914	9	of	of	ADP
ap-7699	914	10	computation	computation	NOUN
ap-7699	914	11	all	all	PRON
ap-7699	914	12	satisfy	satisfy	VERB
ap-7699	914	13	these	these	DET
ap-7699	914	14	requirements	requirement	NOUN
ap-7699	914	15	,	,	PUNCT
ap-7699	914	16	so	so	SCONJ
ap-7699	914	17	only	only	ADV
ap-7699	914	18	we	we	PRON
ap-7699	914	19	must	must	AUX
ap-7699	914	20	be	be	AUX
ap-7699	914	21	careful	careful	ADJ
ap-7699	914	22	to	to	PART
ap-7699	914	23	take	take	VERB
ap-7699	914	24	all	all	DET
ap-7699	914	25	these	these	DET
ap-7699	914	26	contributions	contribution	NOUN
ap-7699	914	27	into	into	ADP
ap-7699	914	28	account	account	NOUN
ap-7699	914	29	.	.	PUNCT
ap-7699	915	1	the	the	DET
ap-7699	915	2	contribution	contribution	NOUN
ap-7699	915	3	of	of	ADP
ap-7699	915	4	the	the	DET
ap-7699	915	5	third	third	ADJ
ap-7699	915	6	conformal	conformal	NOUN
ap-7699	915	7	ghosts	ghost	NOUN
ap-7699	915	8	is	be	AUX
ap-7699	915	9	like	like	ADP
ap-7699	915	10	that	that	PRON
ap-7699	915	11	of	of	ADP
ap-7699	915	12	two	two	NUM
ap-7699	915	13	real	real	ADJ
ap-7699	915	14	scalars	scalar	NOUN
ap-7699	915	15	coupled	couple	VERB
ap-7699	915	16	minimally	minimally	ADV
ap-7699	915	17	(	(	PUNCT
ap-7699	915	18	but	but	CCONJ
ap-7699	915	19	not	not	PART
ap-7699	915	20	conformally	conformally	ADV
ap-7699	915	21	to	to	ADP
ap-7699	915	22	one	one	NUM
ap-7699	915	23	’s	’s	PART
ap-7699	915	24	surprise	surprise	NOUN
ap-7699	915	25	)	)	PUNCT
ap-7699	915	26	to	to	ADP
ap-7699	915	27	the	the	DET
ap-7699	915	28	background	background	NOUN
ap-7699	915	29	gravitational	gravitational	ADJ
ap-7699	915	30	metric	metric	NOUN
ap-7699	915	31	,	,	PUNCT
ap-7699	915	32	but	but	CCONJ
ap-7699	915	33	of	of	ADP
ap-7699	915	34	the	the	DET
ap-7699	915	35	ghost	ghost	NOUN
ap-7699	915	36	type	type	NOUN
ap-7699	915	37	.	.	PUNCT
ap-7699	916	1	indeed	indeed	ADV
ap-7699	916	2	this	this	PRON
ap-7699	916	3	means	mean	VERB
ap-7699	916	4	that	that	SCONJ
ap-7699	916	5	we	we	PRON
ap-7699	916	6	have	have	VERB
ap-7699	916	7	to	to	PART
ap-7699	916	8	subtract	subtract	VERB
ap-7699	916	9	the	the	DET
ap-7699	916	10	contribution	contribution	NOUN
ap-7699	916	11	of	of	ADP
ap-7699	916	12	two	two	NUM
ap-7699	916	13	scalars	scalar	NOUN
ap-7699	916	14	,	,	PUNCT
ap-7699	916	15	which	which	PRON
ap-7699	916	16	is	be	AUX
ap-7699	916	17	of	of	ADP
ap-7699	916	18	course	course	NOUN
ap-7699	916	19	,	,	PUNCT
ap-7699	916	20	uv	uv	NOUN
ap-7699	916	21	-	-	PUNCT
ap-7699	916	22	divergent	divergent	NOUN
ap-7699	916	23	but	but	CCONJ
ap-7699	916	24	after	after	ADP
ap-7699	916	25	extracting	extract	VERB
ap-7699	916	26	the	the	DET
ap-7699	916	27	overall	overall	ADJ
ap-7699	916	28	divergence	divergence	NOUN
ap-7699	916	29	there	there	PRON
ap-7699	916	30	is	be	VERB
ap-7699	916	31	only	only	ADV
ap-7699	916	32	a	a	DET
ap-7699	916	33	finite	finite	ADJ
ap-7699	916	34	number	number	NOUN
ap-7699	916	35	.	.	PUNCT
ap-7699	917	1	this	this	PRON
ap-7699	917	2	is	be	AUX
ap-7699	917	3	the	the	DET
ap-7699	917	4	number	number	NOUN
ap-7699	917	5	that	that	PRON
ap-7699	917	6	when	when	SCONJ
ap-7699	917	7	subtracted	subtract	VERB
ap-7699	917	8	now	now	ADV
ap-7699	917	9	matches	match	VERB
ap-7699	917	10	with	with	ADP
ap-7699	917	11	number	number	NOUN
ap-7699	917	12	obtained	obtain	VERB
ap-7699	917	13	after	after	ADP
ap-7699	917	14	the	the	DET
ap-7699	917	15	naive	naive	ADJ
ap-7699	917	16	limit	limit	NOUN
ap-7699	917	17	x	x	INTJ
ap-7699	917	18	→	→	SYM
ap-7699	917	19	∞	∞	NUM
ap-7699	917	20	of	of	ADP
ap-7699	917	21	the	the	DET
ap-7699	917	22	generic	generic	ADJ
ap-7699	917	23	results	result	NOUN
ap-7699	917	24	from	from	ADP
ap-7699	917	25	(	(	PUNCT
ap-7699	917	26	49	49	NUM
ap-7699	917	27	)	)	PUNCT
ap-7699	917	28	.	.	PUNCT
ap-7699	918	1	we	we	PRON
ap-7699	918	2	explain	explain	VERB
ap-7699	918	3	that	that	SCONJ
ap-7699	918	4	we	we	PRON
ap-7699	918	5	need	need	VERB
ap-7699	918	6	to	to	PART
ap-7699	918	7	subtract	subtract	VERB
ap-7699	918	8	two	two	NUM
ap-7699	918	9	real	real	ADJ
ap-7699	918	10	scalars	scalar	NOUN
ap-7699	918	11	each	each	DET
ap-7699	918	12	one	one	NUM
ap-7699	918	13	coming	come	VERB
ap-7699	918	14	with	with	ADP
ap-7699	918	15	the	the	DET
ap-7699	918	16	standard	standard	ADJ
ap-7699	918	17	two	two	NUM
ap-7699	918	18	-	-	PUNCT
ap-7699	918	19	derivative	derivative	ADJ
ap-7699	918	20	gr	gr	PROPN
ap-7699	918	21	-	-	PUNCT
ap-7699	918	22	covariant	covariant	NOUN
ap-7699	918	23	box	box	NOUN
ap-7699	918	24	operator	operator	NOUN
ap-7699	918	25	as	as	ADP
ap-7699	918	26	the	the	DET
ap-7699	918	27	kinetic	kinetic	ADJ
ap-7699	918	28	operator	operator	NOUN
ap-7699	918	29	since	since	SCONJ
ap-7699	918	30	in	in	ADP
ap-7699	918	31	hd	hd	NOUN
ap-7699	918	32	conformal	conformal	NOUN
ap-7699	918	33	gravity	gravity	NOUN
ap-7699	918	34	the	the	DET
ap-7699	918	35	operator	operator	NOUN
ap-7699	918	36	between	between	ADP
ap-7699	918	37	third	third	ADJ
ap-7699	918	38	conformal	conformal	ADJ
ap-7699	918	39	ghosts	ghost	NOUN
ap-7699	918	40	is	be	AUX
ap-7699	918	41	of	of	ADP
ap-7699	918	42	the	the	DET
ap-7699	918	43	□	□	SYM
ap-7699	918	44	2	2	NUM
ap-7699	918	45	type	type	NOUN
ap-7699	918	46	as	as	ADP
ap-7699	918	47	for	for	ADP
ap-7699	918	48	the	the	DET
ap-7699	918	49	four	four	NUM
ap-7699	918	50	-	-	PUNCT
ap-7699	918	51	derivative	derivative	NOUN
ap-7699	918	52	theory	theory	NOUN
ap-7699	918	53	.	.	PUNCT
ap-7699	919	1	the	the	DET
ap-7699	919	2	limit	limit	NOUN
ap-7699	919	3	to	to	ADP
ap-7699	919	4	conformal	conformal	ADJ
ap-7699	919	5	gravity	gravity	NOUN
ap-7699	919	6	is	be	AUX
ap-7699	919	7	discontinuous	discontinuous	ADJ
ap-7699	919	8	,	,	PUNCT
ap-7699	919	9	but	but	CCONJ
ap-7699	919	10	only	only	ADV
ap-7699	919	11	in	in	ADP
ap-7699	919	12	this	this	DET
ap-7699	919	13	sense	sense	NOUN
ap-7699	919	14	that	that	SCONJ
ap-7699	919	15	one	one	PRON
ap-7699	919	16	has	have	VERB
ap-7699	919	17	to	to	PART
ap-7699	919	18	take	take	VERB
ap-7699	919	19	out	out	ADP
ap-7699	919	20	also	also	ADV
ap-7699	919	21	contribution	contribution	NOUN
ap-7699	919	22	of	of	ADP
ap-7699	919	23	real	real	ADJ
ap-7699	919	24	scalar	scalar	ADJ
ap-7699	919	25	fields	field	NOUN
ap-7699	919	26	minimally	minimally	ADV
ap-7699	919	27	coupled	couple	VERB
ap-7699	919	28	to	to	ADP
ap-7699	919	29	gravitation	gravitation	NOUN
ap-7699	919	30	.	.	PUNCT
ap-7699	920	1	the	the	DET
ap-7699	920	2	first	first	ADJ
ap-7699	920	3	part	part	NOUN
ap-7699	920	4	of	of	ADP
ap-7699	920	5	the	the	DET
ap-7699	920	6	limiting	limit	VERB
ap-7699	920	7	procedure	procedure	NOUN
ap-7699	920	8	,	,	PUNCT
ap-7699	920	9	namely	namely	ADV
ap-7699	920	10	x	x	PUNCT
ap-7699	920	11	→	→	SYM
ap-7699	920	12	∞	∞	PROPN
ap-7699	920	13	is	be	AUX
ap-7699	920	14	only	only	ADV
ap-7699	920	15	a	a	DET
ap-7699	920	16	partial	partial	ADJ
ap-7699	920	17	step	step	NOUN
ap-7699	920	18	and	and	CCONJ
ap-7699	920	19	to	to	PART
ap-7699	920	20	complete	complete	VERB
ap-7699	920	21	the	the	DET
ap-7699	920	22	whole	whole	ADJ
ap-7699	920	23	limiting	limit	VERB
ap-7699	920	24	procedure	procedure	NOUN
ap-7699	920	25	one	one	PRON
ap-7699	920	26	must	must	AUX
ap-7699	920	27	also	also	ADV
ap-7699	920	28	deal	deal	VERB
ap-7699	920	29	properly	properly	ADV
ap-7699	920	30	with	with	ADP
ap-7699	920	31	conformal	conformal	ADJ
ap-7699	920	32	symmetry	symmetry	NOUN
ap-7699	920	33	.	.	PUNCT
ap-7699	921	1	this	this	PRON
ap-7699	921	2	applies	apply	VERB
ap-7699	921	3	not	not	PART
ap-7699	921	4	only	only	ADV
ap-7699	921	5	to	to	ADP
ap-7699	921	6	the	the	DET
ap-7699	921	7	coefficients	coefficient	NOUN
ap-7699	921	8	in	in	ADP
ap-7699	921	9	front	front	NOUN
ap-7699	921	10	of	of	ADP
ap-7699	921	11	the	the	DET
ap-7699	921	12	r2	r2	PROPN
ap-7699	921	13	term	term	NOUN
ap-7699	921	14	,	,	PUNCT
ap-7699	921	15	where	where	SCONJ
ap-7699	921	16	we	we	PRON
ap-7699	921	17	see	see	VERB
ap-7699	921	18	the	the	DET
ap-7699	921	19	mysterious	mysterious	ADJ
ap-7699	921	20	but	but	CCONJ
ap-7699	921	21	explainable	explainable	ADJ
ap-7699	921	22	x	x	NOUN
ap-7699	921	23	-	-	NOUN
ap-7699	921	24	dependence	dependence	NOUN
ap-7699	921	25	,	,	PUNCT
ap-7699	921	26	but	but	CCONJ
ap-7699	921	27	also	also	ADV
ap-7699	921	28	to	to	ADP
ap-7699	921	29	other	other	ADJ
ap-7699	921	30	coefficients	coefficient	NOUN
ap-7699	921	31	in	in	ADP
ap-7699	921	32	front	front	NOUN
ap-7699	921	33	of	of	ADP
ap-7699	921	34	terms	term	NOUN
ap-7699	921	35	like	like	ADP
ap-7699	921	36	c2	c2	PROPN
ap-7699	921	37	and	and	CCONJ
ap-7699	921	38	gb	gb	ADP
ap-7699	921	39	terms	term	NOUN
ap-7699	921	40	.	.	PUNCT
ap-7699	922	1	of	of	ADP
ap-7699	922	2	course	course	NOUN
ap-7699	922	3	,	,	PUNCT
ap-7699	922	4	for	for	ADP
ap-7699	922	5	the	the	DET
ap-7699	922	6	last	last	ADJ
ap-7699	922	7	two	two	NUM
ap-7699	922	8	terms	term	NOUN
ap-7699	922	9	the	the	DET
ap-7699	922	10	limits	limit	NOUN
ap-7699	922	11	x	x	INTJ
ap-7699	922	12	→	→	SYM
ap-7699	922	13	∞	∞	NOUN
ap-7699	922	14	do	do	AUX
ap-7699	922	15	not	not	PART
ap-7699	922	16	change	change	VERB
ap-7699	922	17	anything	anything	PRON
ap-7699	922	18	,	,	PUNCT
ap-7699	922	19	but	but	CCONJ
ap-7699	922	20	the	the	DET
ap-7699	922	21	contribution	contribution	NOUN
ap-7699	922	22	of	of	ADP
ap-7699	922	23	third	third	ADJ
ap-7699	922	24	conformal	conformal	ADJ
ap-7699	922	25	ghosts	ghost	NOUN
ap-7699	922	26	makes	make	VERB
ap-7699	922	27	impact	impact	NOUN
ap-7699	922	28	and	and	CCONJ
ap-7699	922	29	change	change	VERB
ap-7699	922	30	the	the	DET
ap-7699	922	31	numerical	numerical	ADJ
ap-7699	922	32	results	result	NOUN
ap-7699	922	33	,	,	PUNCT
ap-7699	922	34	which	which	PRON
ap-7699	922	35	are	be	AUX
ap-7699	922	36	luckily	luckily	ADV
ap-7699	922	37	still	still	ADV
ap-7699	922	38	finite	finite	VERB
ap-7699	922	39	in	in	ADP
ap-7699	922	40	conformal	conformal	ADJ
ap-7699	922	41	gravity	gravity	NOUN
ap-7699	922	42	.	.	PUNCT
ap-7699	923	1	the	the	DET
ap-7699	923	2	coefficients	coefficient	NOUN
ap-7699	923	3	in	in	ADP
ap-7699	923	4	front	front	NOUN
ap-7699	923	5	of	of	ADP
ap-7699	923	6	the	the	DET
ap-7699	923	7	r2	r2	PROPN
ap-7699	923	8	and	and	CCONJ
ap-7699	923	9	gb	gb	PROPN
ap-7699	923	10	counterterms	counterterm	NOUN
ap-7699	923	11	are	be	AUX
ap-7699	923	12	also	also	ADV
ap-7699	923	13	finite	finite	ADJ
ap-7699	923	14	in	in	ADP
ap-7699	923	15	generic	generic	ADJ
ap-7699	923	16	four	four	NUM
ap-7699	923	17	-	-	PUNCT
ap-7699	923	18	derivative	derivative	ADJ
ap-7699	923	19	gravity	gravity	NOUN
ap-7699	923	20	(	(	PUNCT
ap-7699	923	21	cf	cf	NOUN
ap-7699	923	22	.	.	PUNCT
ap-7699	924	1	with	with	ADP
ap-7699	924	2	(	(	PUNCT
ap-7699	924	3	34	34	NUM
ap-7699	924	4	)	)	PUNCT
ap-7699	924	5	)	)	PUNCT
ap-7699	924	6	,	,	PUNCT
ap-7699	924	7	however	however	ADV
ap-7699	924	8	by	by	ADP
ap-7699	924	9	these	these	DET
ap-7699	924	10	types	type	NOUN
ap-7699	924	11	of	of	ADP
ap-7699	924	12	arguments	argument	NOUN
ap-7699	924	13	with	with	ADP
ap-7699	924	14	conformal	conformal	ADJ
ap-7699	924	15	gravity	gravity	NOUN
ap-7699	924	16	we	we	PRON
ap-7699	924	17	can	can	AUX
ap-7699	924	18	not	not	PART
ap-7699	924	19	at	at	ADP
ap-7699	924	20	present	present	NOUN
ap-7699	924	21	understand	understand	VERB
ap-7699	924	22	why	why	SCONJ
ap-7699	924	23	the	the	DET
ap-7699	924	24	x	x	X
ap-7699	924	25	-	-	NOUN
ap-7699	924	26	dependence	dependence	NOUN
ap-7699	924	27	happens	happen	VERB
ap-7699	924	28	only	only	ADV
ap-7699	924	29	in	in	ADP
ap-7699	924	30	front	front	NOUN
ap-7699	924	31	of	of	ADP
ap-7699	924	32	the	the	DET
ap-7699	924	33	r2	r2	PROPN
ap-7699	924	34	counterterm	counterterm	NOUN
ap-7699	924	35	.	.	PUNCT
ap-7699	925	1	of	of	ADP
ap-7699	925	2	course	course	NOUN
ap-7699	925	3	,	,	PUNCT
ap-7699	925	4	in	in	ADP
ap-7699	925	5	conformal	conformal	ADJ
ap-7699	925	6	gravity	gravity	NOUN
ap-7699	925	7	model	model	NOUN
ap-7699	925	8	,	,	PUNCT
ap-7699	925	9	there	there	PRON
ap-7699	925	10	is	be	VERB
ap-7699	925	11	not	not	PART
ap-7699	925	12	any	any	DET
ap-7699	925	13	x	x	NOUN
ap-7699	925	14	-	-	NOUN
ap-7699	925	15	dependence	dependence	NOUN
ap-7699	925	16	at	at	ADV
ap-7699	925	17	all	all	ADV
ap-7699	925	18	.	.	PUNCT
ap-7699	926	1	at	at	ADP
ap-7699	926	2	the	the	DET
ap-7699	926	3	end	end	NOUN
ap-7699	926	4	,	,	PUNCT
ap-7699	926	5	when	when	SCONJ
ap-7699	926	6	one	one	NUM
ap-7699	926	7	accounts	account	VERB
ap-7699	926	8	for	for	ADP
ap-7699	926	9	all	all	DET
ap-7699	926	10	these	these	DET
ap-7699	926	11	numerical	numerical	ADJ
ap-7699	926	12	contributions	contribution	NOUN
ap-7699	926	13	,	,	PUNCT
ap-7699	926	14	one	one	PRON
ap-7699	926	15	indeed	indeed	ADV
ap-7699	926	16	finds	find	VERB
ap-7699	926	17	that	that	SCONJ
ap-7699	926	18	at	at	ADP
ap-7699	926	19	the	the	DET
ap-7699	926	20	one	one	NUM
ap-7699	926	21	-	-	PUNCT
ap-7699	926	22	loop	loop	NOUN
ap-7699	926	23	level	level	NOUN
ap-7699	926	24	in	in	ADP
ap-7699	926	25	conformal	conformal	ADJ
ap-7699	926	26	gravity	gravity	NOUN
ap-7699	926	27	,	,	PUNCT
ap-7699	926	28	the	the	DET
ap-7699	926	29	coefficient	coefficient	NOUN
ap-7699	926	30	of	of	ADP
ap-7699	926	31	the	the	DET
ap-7699	926	32	r2	r2	PROPN
ap-7699	926	33	term	term	NOUN
ap-7699	926	34	is	be	AUX
ap-7699	926	35	vanishing	vanish	VERB
ap-7699	926	36	,	,	PUNCT
ap-7699	926	37	so	so	CCONJ
ap-7699	926	38	the	the	DET
ap-7699	926	39	quantum	quantum	ADJ
ap-7699	926	40	conformality	conformality	NOUN
ap-7699	926	41	is	be	AUX
ap-7699	926	42	present	present	ADJ
ap-7699	926	43	in	in	ADP
ap-7699	926	44	the	the	DET
ap-7699	926	45	second	second	ADJ
ap-7699	926	46	sense	sense	NOUN
ap-7699	926	47	.	.	PUNCT
ap-7699	927	1	and	and	CCONJ
ap-7699	927	2	we	we	PRON
ap-7699	927	3	have	have	AUX
ap-7699	927	4	only	only	ADV
ap-7699	927	5	conformally	conformally	ADV
ap-7699	927	6	invariant	invariant	ADJ
ap-7699	927	7	counterterms	counterterm	NOUN
ap-7699	927	8	in	in	ADP
ap-7699	927	9	pure	pure	ADJ
ap-7699	927	10	conformal	conformal	NOUN
ap-7699	927	11	gravity	gravity	NOUN
ap-7699	927	12	without	without	ADP
ap-7699	927	13	any	any	DET
ap-7699	927	14	conformal	conformal	NOUN
ap-7699	927	15	matter	matter	NOUN
ap-7699	927	16	,	,	PUNCT
ap-7699	927	17	but	but	CCONJ
ap-7699	927	18	there	there	PRON
ap-7699	927	19	is	be	VERB
ap-7699	927	20	still	still	ADV
ap-7699	927	21	interesting	interesting	ADJ
ap-7699	927	22	rg	rg	PRON
ap-7699	927	23	flow	flow	NOUN
ap-7699	927	24	of	of	ADP
ap-7699	927	25	couplings	coupling	NOUN
ap-7699	927	26	there	there	ADV
ap-7699	927	27	.	.	PUNCT
ap-7699	928	1	this	this	PRON
ap-7699	928	2	also	also	ADV
ap-7699	928	3	signifies	signify	VERB
ap-7699	928	4	that	that	SCONJ
ap-7699	928	5	there	there	PRON
ap-7699	928	6	is	be	VERB
ap-7699	928	7	conformally	conformally	ADV
ap-7699	928	8	invariant	invariant	ADJ
ap-7699	928	9	but	but	CCONJ
ap-7699	928	10	non	non	ADJ
ap-7699	928	11	-	-	ADJ
ap-7699	928	12	trivial	trivial	ADJ
ap-7699	928	13	divergent	divergent	ADJ
ap-7699	928	14	part	part	NOUN
ap-7699	928	15	of	of	ADP
ap-7699	928	16	the	the	DET
ap-7699	928	17	effective	effective	ADJ
ap-7699	928	18	action	action	NOUN
ap-7699	928	19	with	with	ADP
ap-7699	928	20	finite	finite	PROPN
ap-7699	928	21	numerical	numerical	ADJ
ap-7699	928	22	constant	constant	ADJ
ap-7699	928	23	coefficients	coefficient	NOUN
ap-7699	928	24	,	,	PUNCT
ap-7699	928	25	when	when	SCONJ
ap-7699	928	26	the	the	DET
ap-7699	928	27	overall	overall	ADJ
ap-7699	928	28	divergence	divergence	NOUN
ap-7699	928	29	is	be	AUX
ap-7699	928	30	extracted	extract	VERB
ap-7699	928	31	.	.	PUNCT
ap-7699	929	1	these	these	DET
ap-7699	929	2	finite	finite	ADJ
ap-7699	929	3	coefficients	coefficient	NOUN
ap-7699	929	4	arise	arise	VERB
ap-7699	929	5	in	in	ADP
ap-7699	929	6	the	the	DET
ap-7699	929	7	two	two	NUM
ap-7699	929	8	-	-	PUNCT
ap-7699	929	9	step	step	NOUN
ap-7699	929	10	process	process	NOUN
ap-7699	929	11	.	.	PUNCT
ap-7699	930	1	first	first	ADV
ap-7699	930	2	as	as	ADP
ap-7699	930	3	the	the	DET
ap-7699	930	4	limit	limit	NOUN
ap-7699	930	5	x	x	PUNCT
ap-7699	930	6	→	→	SYM
ap-7699	930	7	∞	∞	NUM
ap-7699	930	8	of	of	ADP
ap-7699	930	9	a	a	DET
ap-7699	930	10	generic	generic	ADJ
ap-7699	930	11	hd	hd	NOUN
ap-7699	930	12	gravity	gravity	NOUN
ap-7699	930	13	and	and	CCONJ
ap-7699	930	14	then	then	ADV
ap-7699	930	15	by	by	ADP
ap-7699	930	16	subtraction	subtraction	NOUN
ap-7699	930	17	of	of	ADP
ap-7699	930	18	uvdivergent	uvdivergent	ADJ
ap-7699	930	19	contributions	contribution	NOUN
ap-7699	930	20	of	of	ADP
ap-7699	930	21	two	two	NUM
ap-7699	930	22	real	real	ADJ
ap-7699	930	23	scalars	scalar	NOUN
ap-7699	930	24	minimally	minimally	ADV
ap-7699	930	25	coupled	couple	VERB
ap-7699	930	26	to	to	ADP
ap-7699	930	27	gravitational	gravitational	ADJ
ap-7699	930	28	field	field	NOUN
ap-7699	930	29	.	.	PUNCT
ap-7699	931	1	since	since	SCONJ
ap-7699	931	2	these	these	DET
ap-7699	931	3	last	last	ADJ
ap-7699	931	4	contributions	contribution	NOUN
ap-7699	931	5	are	be	AUX
ap-7699	931	6	known	know	VERB
ap-7699	931	7	to	to	PART
ap-7699	931	8	be	be	AUX
ap-7699	931	9	finite	finite	ADJ
ap-7699	931	10	numbers	number	NOUN
ap-7699	931	11	multiplying	multiply	VERB
ap-7699	931	12	the	the	DET
ap-7699	931	13	overall	overall	ADJ
ap-7699	931	14	uv	uv	NOUN
ap-7699	931	15	divergence	divergence	NOUN
ap-7699	931	16	,	,	PUNCT
ap-7699	931	17	then	then	ADV
ap-7699	931	18	this	this	PRON
ap-7699	931	19	implies	imply	VERB
ap-7699	931	20	that	that	SCONJ
ap-7699	931	21	the	the	DET
ap-7699	931	22	limit	limit	NOUN
ap-7699	931	23	x	x	PUNCT
ap-7699	931	24	→	→	SYM
ap-7699	931	25	∞	∞	NUM
ap-7699	931	26	of	of	ADP
ap-7699	931	27	the	the	DET
ap-7699	931	28	generic	generic	ADJ
ap-7699	931	29	expression	expression	NOUN
ap-7699	931	30	in	in	ADP
ap-7699	931	31	(	(	PUNCT
ap-7699	931	32	49	49	NUM
ap-7699	931	33	)	)	PUNCT
ap-7699	931	34	must	must	AUX
ap-7699	931	35	also	also	ADV
ap-7699	931	36	give	give	VERB
ap-7699	931	37	finite	finite	ADJ
ap-7699	931	38	numbers	number	NOUN
ap-7699	931	39	.	.	PUNCT
ap-7699	932	1	this	this	PRON
ap-7699	932	2	explains	explain	VERB
ap-7699	932	3	why	why	SCONJ
ap-7699	932	4	in	in	ADP
ap-7699	932	5	perturbatively	perturbatively	ADV
ap-7699	932	6	one	one	NUM
ap-7699	932	7	-	-	PUNCT
ap-7699	932	8	loop	loop	NOUN
ap-7699	932	9	renormalizable	renormalizable	ADJ
ap-7699	932	10	model	model	NOUN
ap-7699	932	11	of	of	ADP
ap-7699	932	12	conformal	conformal	ADJ
ap-7699	932	13	gravity	gravity	NOUN
ap-7699	932	14	in	in	ADP
ap-7699	932	15	d	d	PROPN
ap-7699	932	16	=	=	SYM
ap-7699	932	17	4	4	NUM
ap-7699	932	18	there	there	PRON
ap-7699	932	19	are	be	VERB
ap-7699	932	20	standard	standard	ADJ
ap-7699	932	21	uv	uv	NOUN
ap-7699	932	22	divergences	divergence	NOUN
ap-7699	932	23	,	,	PUNCT
ap-7699	932	24	although	although	SCONJ
ap-7699	932	25	this	this	PRON
ap-7699	932	26	is	be	AUX
ap-7699	932	27	a	a	DET
ap-7699	932	28	reduced	reduced	ADJ
ap-7699	932	29	model	model	NOUN
ap-7699	932	30	with	with	ADP
ap-7699	932	31	θr	θr	NOUN
ap-7699	932	32	=	=	SYM
ap-7699	932	33	0	0	NUM
ap-7699	932	34	and	and	CCONJ
ap-7699	932	35	n	n	CCONJ
ap-7699	932	36	=	=	NOUN
ap-7699	932	37	0	0	NUM
ap-7699	932	38	case	case	NOUN
ap-7699	932	39	.	.	PUNCT
ap-7699	933	1	so	so	ADV
ap-7699	933	2	the	the	DET
ap-7699	933	3	x	x	NOUN
ap-7699	933	4	-	-	NOUN
ap-7699	933	5	dependence	dependence	NOUN
ap-7699	933	6	in	in	ADP
ap-7699	933	7	(	(	PUNCT
ap-7699	933	8	34	34	NUM
ap-7699	933	9	)	)	PUNCT
ap-7699	933	10	must	must	AUX
ap-7699	933	11	be	be	AUX
ap-7699	933	12	as	as	ADV
ap-7699	933	13	emphasized	emphasize	VERB
ap-7699	933	14	above	above	ADV
ap-7699	933	15	that	that	PRON
ap-7699	933	16	is	be	AUX
ap-7699	933	17	with	with	ADP
ap-7699	933	18	inverse	inverse	ADJ
ap-7699	933	19	powers	power	NOUN
ap-7699	933	20	of	of	ADP
ap-7699	933	21	the	the	DET
ap-7699	933	22	fundamental	fundamental	ADJ
ap-7699	933	23	ratio	ratio	NOUN
ap-7699	933	24	x	x	PUNCT
ap-7699	933	25	of	of	ADP
ap-7699	933	26	the	the	DET
ap-7699	933	27	theory	theory	NOUN
ap-7699	933	28	and	and	CCONJ
ap-7699	933	29	in	in	ADP
ap-7699	933	30	accord	accord	NOUN
ap-7699	933	31	with	with	ADP
ap-7699	933	32	what	what	PRON
ap-7699	933	33	was	be	AUX
ap-7699	933	34	schematically	schematically	NOUN
ap-7699	933	35	displayed	display	VERB
ap-7699	933	36	in	in	ADP
ap-7699	933	37	formula	formula	NOUN
ap-7699	933	38	(	(	PUNCT
ap-7699	933	39	49	49	NUM
ap-7699	933	40	)	)	PUNCT
ap-7699	933	41	.	.	PUNCT
ap-7699	934	1	hopefully	hopefully	ADV
ap-7699	934	2	now	now	ADV
ap-7699	934	3	the	the	DET
ap-7699	934	4	dissimilarities	dissimilarity	NOUN
ap-7699	934	5	between	between	ADP
ap-7699	934	6	the	the	DET
ap-7699	934	7	cases	case	NOUN
ap-7699	934	8	with	with	ADP
ap-7699	934	9	n	n	NOUN
ap-7699	934	10	=	=	SYM
ap-7699	934	11	0	0	NUM
ap-7699	934	12	and	and	CCONJ
ap-7699	934	13	n	n	PROPN
ap-7699	934	14	>	>	X
ap-7699	934	15	0	0	NUM
ap-7699	934	16	are	be	AUX
ap-7699	934	17	more	more	ADV
ap-7699	934	18	clear	clear	ADJ
ap-7699	934	19	.	.	PUNCT
ap-7699	935	1	in	in	ADP
ap-7699	935	2	short	short	ADJ
ap-7699	935	3	,	,	PUNCT
ap-7699	935	4	we	we	PRON
ap-7699	935	5	think	think	VERB
ap-7699	935	6	that	that	SCONJ
ap-7699	935	7	the	the	DET
ap-7699	935	8	only	only	ADJ
ap-7699	935	9	sensible	sensible	ADJ
ap-7699	935	10	reason	reason	NOUN
ap-7699	935	11	,	,	PUNCT
ap-7699	935	12	why	why	SCONJ
ap-7699	935	13	we	we	PRON
ap-7699	935	14	see	see	VERB
ap-7699	935	15	completely	completely	ADV
ap-7699	935	16	different	different	ADJ
ap-7699	935	17	behaviour	behaviour	NOUN
ap-7699	935	18	when	when	SCONJ
ap-7699	935	19	going	go	VERB
ap-7699	935	20	from	from	ADP
ap-7699	935	21	n	n	NOUN
ap-7699	935	22	=	=	SYM
ap-7699	935	23	0	0	NUM
ap-7699	935	24	to	to	ADP
ap-7699	935	25	n	n	NOUN
ap-7699	935	26	=	=	SYM
ap-7699	935	27	1	1	NUM
ap-7699	935	28	class	class	NOUN
ap-7699	935	29	of	of	ADP
ap-7699	935	30	theories	theory	NOUN
ap-7699	935	31	is	be	AUX
ap-7699	935	32	that	that	SCONJ
ap-7699	935	33	the	the	DET
ap-7699	935	34	theory	theory	NOUN
ap-7699	935	35	with	with	ADP
ap-7699	935	36	ωr	ωr	NOUN
ap-7699	935	37	=	=	SYM
ap-7699	935	38	0	0	NUM
ap-7699	935	39	and	and	CCONJ
ap-7699	935	40	n	n	CCONJ
ap-7699	935	41	=	=	SYM
ap-7699	935	42	1	1	NUM
ap-7699	935	43	ceases	cease	VERB
ap-7699	935	44	to	to	PART
ap-7699	935	45	be	be	AUX
ap-7699	935	46	conformally	conformally	ADV
ap-7699	935	47	invariant	invariant	ADJ
ap-7699	935	48	in	in	ADP
ap-7699	935	49	d	d	PROPN
ap-7699	935	50	=	=	SYM
ap-7699	935	51	4	4	X
ap-7699	935	52	.	.	PUNCT
ap-7699	936	1	in	in	ADP
ap-7699	936	2	a	a	DET
ap-7699	936	3	different	different	ADJ
ap-7699	936	4	vein	vein	NOUN
ap-7699	936	5	,	,	PUNCT
ap-7699	936	6	the	the	DET
ap-7699	936	7	degeneracy	degeneracy	NOUN
ap-7699	936	8	of	of	ADP
ap-7699	936	9	the	the	DET
ap-7699	936	10	kinetic	kinetic	ADJ
ap-7699	936	11	operator	operator	NOUN
ap-7699	936	12	ĥ	ĥ	PUNCT
ap-7699	936	13	in	in	ADP
ap-7699	936	14	the	the	DET
ap-7699	936	15	ωc	ωc	PROPN
ap-7699	936	16	=	=	SYM
ap-7699	936	17	0	0	NUM
ap-7699	936	18	cases	case	NOUN
ap-7699	936	19	,	,	PUNCT
ap-7699	936	20	for	for	ADP
ap-7699	936	21	both	both	DET
ap-7699	936	22	n	n	NOUN
ap-7699	936	23	=	=	SYM
ap-7699	936	24	0	0	NUM
ap-7699	936	25	and	and	CCONJ
ap-7699	936	26	n	n	CCONJ
ap-7699	936	27	=	=	SYM
ap-7699	936	28	1	1	NUM
ap-7699	936	29	,	,	PUNCT
ap-7699	936	30	remains	remain	VERB
ap-7699	936	31	always	always	ADV
ap-7699	936	32	the	the	DET
ap-7699	936	33	same	same	ADJ
ap-7699	936	34	.	.	PUNCT
ap-7699	937	1	this	this	PRON
ap-7699	937	2	proves	prove	VERB
ap-7699	937	3	again	again	ADV
ap-7699	937	4	and	and	CCONJ
ap-7699	937	5	again	again	ADV
ap-7699	937	6	that	that	SCONJ
ap-7699	937	7	the	the	DET
ap-7699	937	8	case	case	NOUN
ap-7699	937	9	of	of	ADP
ap-7699	937	10	conformal	conformal	ADJ
ap-7699	937	11	gravity	gravity	NOUN
ap-7699	937	12	is	be	AUX
ap-7699	937	13	very	very	ADV
ap-7699	937	14	special	special	ADJ
ap-7699	937	15	among	among	ADP
ap-7699	937	16	all	all	DET
ap-7699	937	17	hd	hd	NOUN
ap-7699	937	18	theories	theory	NOUN
ap-7699	937	19	,	,	PUNCT
ap-7699	937	20	in	in	ADP
ap-7699	937	21	d	d	PROPN
ap-7699	937	22	=	=	SYM
ap-7699	937	23	4	4	NUM
ap-7699	937	24	among	among	ADP
ap-7699	937	25	all	all	DET
ap-7699	937	26	theories	theory	NOUN
ap-7699	937	27	quadratic	quadratic	ADJ
ap-7699	937	28	in	in	ADP
ap-7699	937	29	gravitational	gravitational	ADJ
ap-7699	937	30	curvatures	curvature	NOUN
ap-7699	937	31	.	.	PUNCT
ap-7699	938	1	one	one	PRON
ap-7699	938	2	can	can	AUX
ap-7699	938	3	also	also	ADV
ap-7699	938	4	study	study	VERB
ap-7699	938	5	the	the	DET
ap-7699	938	6	phenomenological	phenomenological	ADJ
ap-7699	938	7	applications	application	NOUN
ap-7699	938	8	of	of	ADP
ap-7699	938	9	the	the	DET
ap-7699	938	10	weyl	weyl	VERB
ap-7699	938	11	conformal	conformal	NOUN
ap-7699	938	12	gravity	gravity	NOUN
ap-7699	938	13	models	model	NOUN
ap-7699	938	14	to	to	ADP
ap-7699	938	15	the	the	DET
ap-7699	938	16	evaporation	evaporation	NOUN
ap-7699	938	17	process	process	NOUN
ap-7699	938	18	of	of	ADP
ap-7699	938	19	black	black	ADJ
ap-7699	938	20	holes	hole	NOUN
ap-7699	938	21	[	[	X
ap-7699	938	22	50	50	NUM
ap-7699	938	23	,	,	PUNCT
ap-7699	938	24	51	51	NUM
ap-7699	938	25	]	]	PUNCT
ap-7699	938	26	and	and	CCONJ
ap-7699	938	27	also	also	ADV
ap-7699	938	28	use	use	VERB
ap-7699	938	29	the	the	DET
ap-7699	938	30	technology	technology	NOUN
ap-7699	938	31	of	of	ADP
ap-7699	938	32	rg	rg	PROPN
ap-7699	938	33	flows	flow	NOUN
ap-7699	938	34	(	(	PUNCT
ap-7699	938	35	and	and	CCONJ
ap-7699	938	36	also	also	ADV
ap-7699	938	37	functional	functional	ADJ
ap-7699	938	38	rg	rg	PROPN
ap-7699	938	39	flows	flow	NOUN
ap-7699	938	40	)	)	PUNCT
ap-7699	938	41	in	in	ADP
ap-7699	938	42	the	the	DET
ap-7699	938	43	quantum	quantum	ADJ
ap-7699	938	44	model	model	NOUN
ap-7699	938	45	of	of	ADP
ap-7699	938	46	conformal	conformal	ADJ
ap-7699	938	47	gravity	gravity	NOUN
ap-7699	938	48	to	to	PART
ap-7699	938	49	derive	derive	VERB
ap-7699	938	50	some	some	DET
ap-7699	938	51	interesting	interesting	ADJ
ap-7699	938	52	consequences	consequence	NOUN
ap-7699	938	53	for	for	ADP
ap-7699	938	54	the	the	DET
ap-7699	938	55	cosmology	cosmology	NOUN
ap-7699	938	56	(	(	PUNCT
ap-7699	938	57	like	like	ADP
ap-7699	938	58	for	for	ADP
ap-7699	938	59	example	example	NOUN
ap-7699	938	60	for	for	ADP
ap-7699	938	61	the	the	DET
ap-7699	938	62	presence	presence	NOUN
ap-7699	938	63	of	of	ADP
ap-7699	938	64	dark	dark	ADJ
ap-7699	938	65	components	component	NOUN
ap-7699	938	66	of	of	ADP
ap-7699	938	67	the	the	DET
ap-7699	938	68	universe	universe	NOUN
ap-7699	938	69	in	in	ADP
ap-7699	938	70	[	[	X
ap-7699	938	71	52–54	52–54	NUM
ap-7699	938	72	]	]	NUM
ap-7699	938	73	)	)	PUNCT
ap-7699	938	74	.	.	PUNCT
ap-7699	939	1	finally	finally	ADV
ap-7699	939	2	,	,	PUNCT
ap-7699	939	3	the	the	DET
ap-7699	939	4	conformal	conformal	NOUN
ap-7699	939	5	symmetry	symmetry	NOUN
ap-7699	939	6	realized	realize	VERB
ap-7699	939	7	fully	fully	ADV
ap-7699	939	8	on	on	ADP
ap-7699	939	9	the	the	DET
ap-7699	939	10	classical	classical	ADJ
ap-7699	939	11	level	level	NOUN
ap-7699	939	12	(	(	PUNCT
ap-7699	939	13	and	and	CCONJ
ap-7699	939	14	as	as	SCONJ
ap-7699	939	15	we	we	PRON
ap-7699	939	16	have	have	AUX
ap-7699	939	17	seen	see	VERB
ap-7699	939	18	also	also	ADV
ap-7699	939	19	to	to	ADP
ap-7699	939	20	the	the	DET
ap-7699	939	21	first	first	ADJ
ap-7699	939	22	loop	loop	NOUN
ap-7699	939	23	level	level	NOUN
ap-7699	939	24	and	and	CCONJ
ap-7699	939	25	perhaps	perhaps	ADV
ap-7699	939	26	also	also	ADV
ap-7699	939	27	beyond	beyond	ADV
ap-7699	939	28	)	)	PUNCT
ap-7699	939	29	is	be	AUX
ap-7699	939	30	instrumental	instrumental	ADJ
ap-7699	939	31	in	in	ADP
ap-7699	939	32	solving	solve	VERB
ap-7699	939	33	the	the	DET
ap-7699	939	34	issue	issue	NOUN
ap-7699	939	35	with	with	ADP
ap-7699	939	36	spacetime	spacetime	NOUN
ap-7699	939	37	singularities	singularity	NOUN
ap-7699	939	38	[	[	X
ap-7699	939	39	34	34	NUM
ap-7699	939	40	,	,	PUNCT
ap-7699	939	41	55	55	NUM
ap-7699	939	42	,	,	PUNCT
ap-7699	939	43	56	56	NUM
ap-7699	939	44	]	]	PUNCT
ap-7699	939	45	,	,	PUNCT
ap-7699	939	46	which	which	PRON
ap-7699	939	47	are	be	AUX
ap-7699	939	48	otherwise	otherwise	ADV
ap-7699	939	49	ubiquitous	ubiquitous	ADJ
ap-7699	939	50	problems	problem	NOUN
ap-7699	939	51	in	in	ADP
ap-7699	939	52	any	any	DET
ap-7699	939	53	other	other	ADJ
ap-7699	939	54	model	model	NOUN
ap-7699	939	55	of	of	ADP
ap-7699	939	56	generally	generally	ADV
ap-7699	939	57	covariant	covariant	ADJ
ap-7699	939	58	gravitational	gravitational	ADJ
ap-7699	939	59	physics	physics	NOUN
ap-7699	939	60	(	(	PUNCT
ap-7699	939	61	both	both	CCONJ
ap-7699	939	62	on	on	ADP
ap-7699	939	63	the	the	DET
ap-7699	939	64	classical	classical	ADJ
ap-7699	939	65	and	and	CCONJ
ap-7699	939	66	quantum	quantum	ADJ
ap-7699	939	67	level	level	NOUN
ap-7699	939	68	)	)	PUNCT
ap-7699	939	69	.	.	PUNCT
ap-7699	940	1	to	to	PART
ap-7699	940	2	resolve	resolve	VERB
ap-7699	940	3	all	all	DET
ap-7699	940	4	singularities	singularity	NOUN
ap-7699	940	5	one	one	PRON
ap-7699	940	6	must	must	AUX
ap-7699	940	7	be	be	AUX
ap-7699	940	8	sure	sure	ADJ
ap-7699	940	9	that	that	SCONJ
ap-7699	940	10	the	the	DET
ap-7699	940	11	conformality	conformality	NOUN
ap-7699	940	12	(	(	PUNCT
ap-7699	940	13	weyl	weyl	VERB
ap-7699	940	14	symmetry	symmetry	NOUN
ap-7699	940	15	)	)	PUNCT
ap-7699	940	16	is	be	AUX
ap-7699	940	17	present	present	ADJ
ap-7699	940	18	also	also	ADV
ap-7699	940	19	on	on	ADP
ap-7699	940	20	the	the	DET
ap-7699	940	21	full	full	ADJ
ap-7699	940	22	quantum	quantum	ADJ
ap-7699	940	23	level	level	NOUN
ap-7699	940	24	(	(	PUNCT
ap-7699	940	25	and	and	CCONJ
ap-7699	940	26	it	it	PRON
ap-7699	940	27	is	be	AUX
ap-7699	940	28	not	not	PART
ap-7699	940	29	anomalous	anomalous	ADJ
ap-7699	940	30	there	there	ADV
ap-7699	940	31	)	)	PUNCT
ap-7699	940	32	,	,	PUNCT
ap-7699	940	33	so	so	CCONJ
ap-7699	940	34	the	the	DET
ap-7699	940	35	resolution	resolution	NOUN
ap-7699	940	36	of	of	ADP
ap-7699	940	37	singularities	singularity	NOUN
ap-7699	940	38	from	from	ADP
ap-7699	940	39	the	the	DET
ap-7699	940	40	classical	classical	ADJ
ap-7699	940	41	level	level	NOUN
ap-7699	940	42	(	(	PUNCT
ap-7699	940	43	by	by	ADP
ap-7699	940	44	some	some	PRON
ap-7699	940	45	compensating	compensate	VERB
ap-7699	940	46	conformal	conformal	ADJ
ap-7699	940	47	transformations	transformation	NOUN
ap-7699	940	48	)	)	PUNCT
ap-7699	940	49	is	be	AUX
ap-7699	940	50	not	not	PART
ap-7699	940	51	immediately	immediately	ADV
ap-7699	940	52	destroyed	destroy	VERB
ap-7699	940	53	by	by	ADP
ap-7699	940	54	some	some	DET
ap-7699	940	55	dangerous	dangerous	ADJ
ap-7699	940	56	non	non	ADJ
ap-7699	940	57	-	-	ADJ
ap-7699	940	58	conformal	conformal	ADJ
ap-7699	940	59	quantum	quantum	NOUN
ap-7699	940	60	fluctuations	fluctuation	NOUN
ap-7699	940	61	and	and	CCONJ
ap-7699	940	62	corrections	correction	NOUN
ap-7699	940	63	.	.	PUNCT
ap-7699	941	1	4.4	4.4	NUM
ap-7699	941	2	.	.	PUNCT
ap-7699	942	1	more	more	ADJ
ap-7699	942	2	on	on	ADP
ap-7699	942	3	limiting	limit	VERB
ap-7699	942	4	cases	case	NOUN
ap-7699	942	5	here	here	ADV
ap-7699	942	6	again	again	ADV
ap-7699	942	7	we	we	PRON
ap-7699	942	8	analyze	analyze	VERB
ap-7699	942	9	closer	close	ADJ
ap-7699	942	10	the	the	DET
ap-7699	942	11	situation	situation	NOUN
ap-7699	942	12	with	with	ADP
ap-7699	942	13	various	various	ADJ
ap-7699	942	14	limits	limit	NOUN
ap-7699	942	15	,	,	PUNCT
ap-7699	942	16	when	when	SCONJ
ap-7699	942	17	some	some	DET
ap-7699	942	18	coefficients	coefficient	NOUN
ap-7699	942	19	in	in	ADP
ap-7699	942	20	the	the	DET
ap-7699	942	21	gravitational	gravitational	ADJ
ap-7699	942	22	action	action	NOUN
ap-7699	942	23	(	(	PUNCT
ap-7699	942	24	45	45	NUM
ap-7699	942	25	)	)	PUNCT
ap-7699	942	26	disappear	disappear	VERB
ap-7699	942	27	.	.	PUNCT
ap-7699	943	1	143	143	PRON
ap-7699	943	2	lesław	lesław	PROPN
ap-7699	943	3	rachwał	rachwał	PROPN
ap-7699	943	4	acta	acta	PROPN
ap-7699	943	5	polytechnica	polytechnica	PROPN
ap-7699	943	6	in	in	ADP
ap-7699	943	7	a	a	DET
ap-7699	943	8	generic	generic	ADJ
ap-7699	943	9	six	six	NUM
ap-7699	943	10	-	-	PUNCT
ap-7699	943	11	derivative	derivative	NOUN
ap-7699	943	12	theory	theory	NOUN
ap-7699	943	13	,	,	PUNCT
ap-7699	943	14	the	the	DET
ap-7699	943	15	trace	trace	NOUN
ap-7699	943	16	of	of	ADP
ap-7699	943	17	the	the	DET
ap-7699	943	18	logarithm	logarithm	NOUN
ap-7699	943	19	of	of	ADP
ap-7699	943	20	the	the	DET
ap-7699	943	21	fp	fp	PROPN
ap-7699	943	22	ghosts	ghost	NOUN
ap-7699	943	23	kinetic	kinetic	ADJ
ap-7699	943	24	operator	operator	NOUN
ap-7699	943	25	m̂	m̂	NOUN
ap-7699	943	26	and	and	CCONJ
ap-7699	943	27	of	of	ADP
ap-7699	943	28	the	the	DET
ap-7699	943	29	standard	standard	ADJ
ap-7699	943	30	minimal	minimal	ADJ
ap-7699	943	31	ĉ	ĉ	NOUN
ap-7699	943	32	matrix	matrix	NOUN
ap-7699	943	33	are	be	AUX
ap-7699	943	34	regular	regular	ADJ
ap-7699	943	35	in	in	ADP
ap-7699	943	36	the	the	DET
ap-7699	943	37	limit	limit	NOUN
ap-7699	943	38	ωr	ωr	X
ap-7699	943	39	→	→	SYM
ap-7699	943	40	0	0	NUM
ap-7699	943	41	,	,	PUNCT
ap-7699	943	42	but	but	CCONJ
ap-7699	943	43	not	not	PART
ap-7699	943	44	in	in	ADP
ap-7699	943	45	the	the	DET
ap-7699	943	46	limit	limit	NOUN
ap-7699	943	47	ωc	ωc	INTJ
ap-7699	943	48	→	→	SYM
ap-7699	943	49	0	0	NUM
ap-7699	943	50	.	.	PUNCT
ap-7699	944	1	for	for	ADP
ap-7699	944	2	the	the	DET
ap-7699	944	3	ĉ	ĉ	NUM
ap-7699	944	4	matrix	matrix	NOUN
ap-7699	944	5	this	this	PRON
ap-7699	944	6	is	be	AUX
ap-7699	944	7	understandable	understandable	ADJ
ap-7699	944	8	,	,	PUNCT
ap-7699	944	9	because	because	SCONJ
ap-7699	944	10	the	the	DET
ap-7699	944	11	γ	γ	PROPN
ap-7699	944	12	parameter	parameter	NOUN
ap-7699	944	13	contains	contain	VERB
ap-7699	944	14	factor	factor	NOUN
ap-7699	944	15	ω−1	ω−1	PROPN
ap-7699	944	16	c	c	NOUN
ap-7699	944	17	in	in	ADP
ap-7699	944	18	the	the	DET
ap-7699	944	19	minimal	minimal	ADJ
ap-7699	944	20	gauge	gauge	NOUN
ap-7699	944	21	.	.	PUNCT
ap-7699	945	1	however	however	ADV
ap-7699	945	2	,	,	PUNCT
ap-7699	945	3	for	for	ADP
ap-7699	945	4	the	the	DET
ap-7699	945	5	fp	fp	PROPN
ap-7699	945	6	ghosts	ghost	NOUN
ap-7699	945	7	kinetic	kinetic	ADJ
ap-7699	945	8	operator	operator	NOUN
ap-7699	945	9	m̂	m̂	NOUN
ap-7699	945	10	,	,	PUNCT
ap-7699	945	11	this	this	DET
ap-7699	945	12	dependence	dependence	NOUN
ap-7699	945	13	was	be	AUX
ap-7699	945	14	unexpected	unexpected	ADJ
ap-7699	945	15	,	,	PUNCT
ap-7699	945	16	because	because	SCONJ
ap-7699	945	17	in	in	ADP
ap-7699	945	18	the	the	DET
ap-7699	945	19	explicit	explicit	ADJ
ap-7699	945	20	definition	definition	NOUN
ap-7699	945	21	of	of	ADP
ap-7699	945	22	the	the	DET
ap-7699	945	23	m̂	m̂	NOUN
ap-7699	945	24	operator	operator	NOUN
ap-7699	945	25	there	there	PRON
ap-7699	945	26	was	be	VERB
ap-7699	945	27	never	never	ADV
ap-7699	945	28	any	any	DET
ap-7699	945	29	singularity	singularity	NOUN
ap-7699	945	30	in	in	ADP
ap-7699	945	31	ωc	ωc	PROPN
ap-7699	945	32	.	.	PUNCT
ap-7699	946	1	moreover	moreover	ADV
ap-7699	946	2	,	,	PUNCT
ap-7699	946	3	this	this	DET
ap-7699	946	4	singularity	singularity	NOUN
ap-7699	946	5	is	be	AUX
ap-7699	946	6	even	even	ADV
ap-7699	946	7	quadratic	quadratic	ADJ
ap-7699	946	8	in	in	ADP
ap-7699	946	9	ωc	ωc	ADP
ap-7699	946	10	coefficient	coefficient	NOUN
ap-7699	946	11	.	.	PUNCT
ap-7699	947	1	we	we	PRON
ap-7699	947	2	also	also	ADV
ap-7699	947	3	emphasize	emphasize	VERB
ap-7699	947	4	that	that	SCONJ
ap-7699	947	5	in	in	ADP
ap-7699	947	6	the	the	DET
ap-7699	947	7	general	general	ADJ
ap-7699	947	8	six	six	NUM
ap-7699	947	9	-	-	PUNCT
ap-7699	947	10	derivative	derivative	ADJ
ap-7699	947	11	theory	theory	NOUN
ap-7699	947	12	the	the	DET
ap-7699	947	13	trace	trace	NOUN
ap-7699	947	14	of	of	ADP
ap-7699	947	15	the	the	DET
ap-7699	947	16	logarithm	logarithm	NOUN
ap-7699	947	17	of	of	ADP
ap-7699	947	18	the	the	DET
ap-7699	947	19	hessian	hessian	ADJ
ap-7699	947	20	operator	operator	NOUN
ap-7699	947	21	ĥ	ĥ	X
ap-7699	947	22	is	be	AUX
ap-7699	947	23	irregular	irregular	ADJ
ap-7699	947	24	both	both	CCONJ
ap-7699	947	25	in	in	ADP
ap-7699	947	26	the	the	DET
ap-7699	947	27	limits	limit	NOUN
ap-7699	947	28	ωr	ωr	ADP
ap-7699	947	29	→	→	SYM
ap-7699	947	30	0	0	NUM
ap-7699	947	31	and	and	CCONJ
ap-7699	947	32	ωc	ωc	INTJ
ap-7699	947	33	→	→	SYM
ap-7699	947	34	0	0	NUM
ap-7699	947	35	separately	separately	ADV
ap-7699	947	36	.	.	PUNCT
ap-7699	948	1	it	it	PRON
ap-7699	948	2	seems	seem	VERB
ap-7699	948	3	that	that	SCONJ
ap-7699	948	4	in	in	ADP
ap-7699	948	5	the	the	DET
ap-7699	948	6	total	total	ADJ
ap-7699	948	7	sum	sum	NOUN
ap-7699	948	8	of	of	ADP
ap-7699	948	9	contributions	contribution	NOUN
ap-7699	948	10	to	to	ADP
ap-7699	948	11	the	the	DET
ap-7699	948	12	beta	beta	NOUN
ap-7699	948	13	functions	function	NOUN
ap-7699	948	14	of	of	ADP
ap-7699	948	15	the	the	DET
ap-7699	948	16	theory	theory	NOUN
ap-7699	948	17	the	the	DET
ap-7699	948	18	singularity	singularity	NOUN
ap-7699	948	19	in	in	ADP
ap-7699	948	20	ωc	ωc	ADP
ap-7699	948	21	cancels	cancel	NOUN
ap-7699	948	22	completely	completely	ADV
ap-7699	948	23	between	between	ADP
ap-7699	948	24	tr	tr	SYM
ap-7699	948	25	ln	ln	ADJ
ap-7699	948	26	ĥ	ĥ	NOUN
ap-7699	948	27	,	,	PUNCT
ap-7699	948	28	tr	tr	VERB
ap-7699	948	29	ln	ln	ADJ
ap-7699	948	30	ĉ	ĉ	X
ap-7699	948	31	,	,	PUNCT
ap-7699	948	32	and	and	CCONJ
ap-7699	948	33	tr	tr	NOUN
ap-7699	948	34	ln	ln	ADJ
ap-7699	948	35	m̂	m̂	PROPN
ap-7699	948	36	,	,	PUNCT
ap-7699	948	37	while	while	SCONJ
ap-7699	948	38	the	the	DET
ap-7699	948	39	poles	pole	NOUN
ap-7699	948	40	in	in	ADP
ap-7699	948	41	ωr	ωr	ADV
ap-7699	948	42	remain	remain	NOUN
ap-7699	948	43	and	and	CCONJ
ap-7699	948	44	this	this	PRON
ap-7699	948	45	is	be	AUX
ap-7699	948	46	what	what	PRON
ap-7699	948	47	is	be	AUX
ap-7699	948	48	seen	see	VERB
ap-7699	948	49	as	as	ADP
ap-7699	948	50	a	a	DET
ap-7699	948	51	dependence	dependence	NOUN
ap-7699	948	52	of	of	ADP
ap-7699	948	53	the	the	DET
ap-7699	948	54	final	final	ADJ
ap-7699	948	55	results	result	NOUN
ap-7699	948	56	on	on	ADP
ap-7699	948	57	the	the	DET
ap-7699	948	58	non	non	ADJ
ap-7699	948	59	-	-	ADJ
ap-7699	948	60	negative	negative	ADJ
ap-7699	948	61	powers	power	NOUN
ap-7699	948	62	of	of	ADP
ap-7699	948	63	the	the	DET
ap-7699	948	64	fundamental	fundamental	ADJ
ap-7699	948	65	ratio	ratio	NOUN
ap-7699	948	66	x.	x.	NOUN
ap-7699	948	67	for	for	ADP
ap-7699	948	68	the	the	DET
ap-7699	948	69	definition	definition	NOUN
ap-7699	948	70	of	of	ADP
ap-7699	948	71	the	the	DET
ap-7699	948	72	ĥ	ĥ	NOUN
ap-7699	948	73	operator	operator	NOUN
ap-7699	948	74	,	,	PUNCT
ap-7699	948	75	if	if	SCONJ
ap-7699	948	76	the	the	DET
ap-7699	948	77	limit	limit	NOUN
ap-7699	948	78	ωr	ωr	X
ap-7699	948	79	→	→	SYM
ap-7699	948	80	0	0	NUM
ap-7699	948	81	is	be	AUX
ap-7699	948	82	taken	take	VERB
ap-7699	948	83	,	,	PUNCT
ap-7699	948	84	nothing	nothing	PRON
ap-7699	948	85	bad	bad	ADJ
ap-7699	948	86	is	be	AUX
ap-7699	948	87	seen	see	VERB
ap-7699	948	88	.	.	PUNCT
ap-7699	949	1	this	this	PRON
ap-7699	949	2	may	may	AUX
ap-7699	949	3	be	be	AUX
ap-7699	949	4	a	a	DET
ap-7699	949	5	partial	partial	ADJ
ap-7699	949	6	surprise	surprise	NOUN
ap-7699	949	7	.	.	PUNCT
ap-7699	950	1	of	of	ADP
ap-7699	950	2	course	course	NOUN
ap-7699	950	3	,	,	PUNCT
ap-7699	950	4	when	when	SCONJ
ap-7699	950	5	the	the	DET
ap-7699	950	6	limit	limit	NOUN
ap-7699	950	7	ωc	ωc	INTJ
ap-7699	950	8	→	→	SYM
ap-7699	950	9	0	0	NUM
ap-7699	950	10	is	be	AUX
ap-7699	950	11	taken	take	VERB
ap-7699	950	12	,	,	PUNCT
ap-7699	950	13	then	then	ADV
ap-7699	950	14	this	this	DET
ap-7699	950	15	operator	operator	NOUN
ap-7699	950	16	does	do	AUX
ap-7699	950	17	vanish	vanish	VERB
ap-7699	950	18	on	on	ADP
ap-7699	950	19	flat	flat	ADJ
ap-7699	950	20	spacetime	spacetime	NOUN
ap-7699	950	21	,	,	PUNCT
ap-7699	950	22	so	so	ADV
ap-7699	950	23	then	then	ADV
ap-7699	950	24	its	its	PRON
ap-7699	950	25	degeneracy	degeneracy	NOUN
ap-7699	950	26	is	be	AUX
ap-7699	950	27	clearly	clearly	ADV
ap-7699	950	28	visible	visible	ADJ
ap-7699	950	29	.	.	PUNCT
ap-7699	951	1	the	the	DET
ap-7699	951	2	situation	situation	NOUN
ap-7699	951	3	with	with	ADP
ap-7699	951	4	limits	limit	NOUN
ap-7699	951	5	(	(	PUNCT
ap-7699	951	6	θr	θr	NOUN
ap-7699	951	7	→	→	SYM
ap-7699	951	8	0	0	NUM
ap-7699	951	9	or	or	CCONJ
ap-7699	951	10	θc	θc	INTJ
ap-7699	951	11	→	→	SYM
ap-7699	951	12	0	0	NUM
ap-7699	951	13	)	)	PUNCT
ap-7699	951	14	in	in	ADP
ap-7699	951	15	four	four	NUM
ap-7699	951	16	-	-	PUNCT
ap-7699	951	17	derivative	derivative	ADJ
ap-7699	951	18	theory	theory	NOUN
ap-7699	951	19	we	we	PRON
ap-7699	951	20	see	see	VERB
ap-7699	951	21	as	as	SCONJ
ap-7699	951	22	follows	follow	VERB
ap-7699	951	23	.	.	PUNCT
ap-7699	952	1	the	the	DET
ap-7699	952	2	functional	functional	ADJ
ap-7699	952	3	trace	trace	NOUN
ap-7699	952	4	tr	tr	VERB
ap-7699	952	5	ln	ln	ADJ
ap-7699	952	6	ĉ	ĉ	X
ap-7699	952	7	is	be	AUX
ap-7699	952	8	regular	regular	ADJ
ap-7699	952	9	in	in	ADP
ap-7699	952	10	both	both	DET
ap-7699	952	11	limits	limit	NOUN
ap-7699	952	12	.	.	PUNCT
ap-7699	953	1	it	it	PRON
ap-7699	953	2	actually	actually	ADV
ap-7699	953	3	does	do	AUX
ap-7699	953	4	not	not	PART
ap-7699	953	5	depend	depend	VERB
ap-7699	953	6	on	on	ADP
ap-7699	953	7	any	any	DET
ap-7699	953	8	gauge	gauge	NOUN
ap-7699	953	9	-	-	PUNCT
ap-7699	953	10	fixing	fix	VERB
ap-7699	953	11	parameters	parameter	NOUN
ap-7699	953	12	here	here	ADV
ap-7699	953	13	,	,	PUNCT
ap-7699	953	14	despite	despite	SCONJ
ap-7699	953	15	that	that	PRON
ap-7699	953	16	in	in	ADP
ap-7699	953	17	its	its	PRON
ap-7699	953	18	formal	formal	ADJ
ap-7699	953	19	definition	definition	NOUN
ap-7699	953	20	we	we	PRON
ap-7699	953	21	used	use	VERB
ap-7699	953	22	the	the	DET
ap-7699	953	23	γ	γ	PROPN
ap-7699	953	24	parameter	parameter	NOUN
ap-7699	953	25	,	,	PUNCT
ap-7699	953	26	which	which	PRON
ap-7699	953	27	shows	show	VERB
ap-7699	953	28	the	the	DET
ap-7699	953	29	1	1	NUM
ap-7699	953	30	θc	θc	NOUN
ap-7699	953	31	singularity	singularity	NOUN
ap-7699	953	32	.	.	PUNCT
ap-7699	954	1	the	the	DET
ap-7699	954	2	situation	situation	NOUN
ap-7699	954	3	with	with	ADP
ap-7699	954	4	the	the	DET
ap-7699	954	5	fp	fp	PROPN
ap-7699	954	6	operator	operator	NOUN
ap-7699	954	7	m̂	m̂	PROPN
ap-7699	954	8	is	be	AUX
ap-7699	954	9	the	the	DET
ap-7699	954	10	same	same	ADJ
ap-7699	954	11	as	as	ADP
ap-7699	954	12	previously	previously	ADV
ap-7699	954	13	,	,	PUNCT
ap-7699	954	14	because	because	SCONJ
ap-7699	954	15	the	the	DET
ap-7699	954	16	operator	operator	NOUN
ap-7699	954	17	is	be	AUX
ap-7699	954	18	identical	identical	ADJ
ap-7699	954	19	as	as	ADP
ap-7699	954	20	in	in	ADP
ap-7699	954	21	the	the	DET
ap-7699	954	22	six	six	NUM
ap-7699	954	23	-	-	PUNCT
ap-7699	954	24	derivative	derivative	ADJ
ap-7699	954	25	theory	theory	NOUN
ap-7699	954	26	case	case	NOUN
ap-7699	954	27	.	.	PUNCT
ap-7699	955	1	the	the	DET
ap-7699	955	2	operator	operator	NOUN
ap-7699	955	3	ĥ	ĥ	PUNCT
ap-7699	955	4	shows	show	VERB
ap-7699	955	5	the	the	DET
ap-7699	955	6	problem	problem	NOUN
ap-7699	955	7	with	with	ADP
ap-7699	955	8	its	its	PRON
ap-7699	955	9	definition	definition	NOUN
ap-7699	955	10	only	only	ADV
ap-7699	955	11	when	when	SCONJ
ap-7699	955	12	the	the	DET
ap-7699	955	13	limit	limit	NOUN
ap-7699	955	14	θc	θc	INTJ
ap-7699	955	15	→	→	SYM
ap-7699	955	16	0	0	NUM
ap-7699	955	17	is	be	AUX
ap-7699	955	18	considered	consider	VERB
ap-7699	955	19	.	.	PUNCT
ap-7699	956	1	the	the	DET
ap-7699	956	2	same	same	ADJ
ap-7699	956	3	is	be	AUX
ap-7699	956	4	true	true	ADJ
ap-7699	956	5	for	for	SCONJ
ap-7699	956	6	its	its	PRON
ap-7699	956	7	trace	trace	NOUN
ap-7699	956	8	of	of	ADP
ap-7699	956	9	the	the	DET
ap-7699	956	10	functional	functional	ADJ
ap-7699	956	11	logarithm	logarithm	NOUN
ap-7699	956	12	,	,	PUNCT
ap-7699	956	13	which	which	PRON
ap-7699	956	14	shows	show	VERB
ap-7699	956	15	singularity	singularity	NOUN
ap-7699	956	16	in	in	ADP
ap-7699	956	17	θc	θc	NOUN
ap-7699	956	18	coupling	couple	VERB
ap-7699	956	19	coefficient	coefficient	NOUN
ap-7699	956	20	up	up	ADP
ap-7699	956	21	to	to	ADP
ap-7699	956	22	the	the	DET
ap-7699	956	23	quadratic	quadratic	ADJ
ap-7699	956	24	order	order	NOUN
ap-7699	956	25	.	.	PUNCT
ap-7699	957	1	in	in	ADP
ap-7699	957	2	this	this	DET
ap-7699	957	3	case	case	NOUN
ap-7699	957	4	and	and	CCONJ
ap-7699	957	5	in	in	ADP
ap-7699	957	6	the	the	DET
ap-7699	957	7	total	total	ADJ
ap-7699	957	8	sum	sum	NOUN
ap-7699	957	9	of	of	ADP
ap-7699	957	10	all	all	DET
ap-7699	957	11	contributions	contribution	NOUN
ap-7699	957	12	,	,	PUNCT
ap-7699	957	13	we	we	PRON
ap-7699	957	14	see	see	VERB
ap-7699	957	15	only	only	ADV
ap-7699	957	16	1	1	NUM
ap-7699	957	17	θc	θc	NOUN
ap-7699	957	18	singularity	singularity	NOUN
ap-7699	957	19	to	to	ADP
ap-7699	957	20	the	the	DET
ap-7699	957	21	quadratic	quadratic	ADJ
ap-7699	957	22	order	order	NOUN
ap-7699	957	23	.	.	PUNCT
ap-7699	958	1	however	however	ADV
ap-7699	958	2	,	,	PUNCT
ap-7699	958	3	here	here	ADV
ap-7699	958	4	the	the	DET
ap-7699	958	5	limit	limit	NOUN
ap-7699	958	6	θr	θr	PRON
ap-7699	958	7	→	→	SYM
ap-7699	958	8	0	0	NUM
ap-7699	958	9	is	be	AUX
ap-7699	958	10	not	not	PART
ap-7699	958	11	continuous	continuous	ADJ
ap-7699	958	12	either	either	ADV
ap-7699	958	13	,	,	PUNCT
ap-7699	958	14	because	because	SCONJ
ap-7699	958	15	the	the	DET
ap-7699	958	16	theory	theory	NOUN
ap-7699	958	17	reaches	reach	VERB
ap-7699	958	18	a	a	DET
ap-7699	958	19	critical	critical	ADJ
ap-7699	958	20	point	point	NOUN
ap-7699	958	21	in	in	ADP
ap-7699	958	22	the	the	DET
ap-7699	958	23	theory	theory	NOUN
ap-7699	958	24	space	space	NOUN
ap-7699	958	25	with	with	ADP
ap-7699	958	26	enhanced	enhanced	ADJ
ap-7699	958	27	symmetry	symmetry	NOUN
ap-7699	958	28	for	for	ADP
ap-7699	958	29	θr	θr	NOUN
ap-7699	958	30	=	=	SYM
ap-7699	958	31	0	0	PUNCT
ap-7699	958	32	(	(	PUNCT
ap-7699	958	33	conformal	conformal	ADJ
ap-7699	958	34	enhancement	enhancement	NOUN
ap-7699	958	35	of	of	ADP
ap-7699	958	36	local	local	ADJ
ap-7699	958	37	symmetries	symmetry	NOUN
ap-7699	958	38	)	)	PUNCT
ap-7699	958	39	as	as	SCONJ
ap-7699	958	40	it	it	PRON
ap-7699	958	41	was	be	AUX
ap-7699	958	42	explained	explain	VERB
ap-7699	958	43	in	in	ADP
ap-7699	958	44	subsection	subsection	NOUN
ap-7699	958	45	4.3	4.3	NUM
ap-7699	958	46	.	.	PUNCT
ap-7699	959	1	let	let	VERB
ap-7699	959	2	us	we	PRON
ap-7699	959	3	also	also	ADV
ap-7699	959	4	comment	comment	VERB
ap-7699	959	5	on	on	ADP
ap-7699	959	6	what	what	PRON
ap-7699	959	7	special	special	ADJ
ap-7699	959	8	happens	happen	VERB
ap-7699	959	9	in	in	ADP
ap-7699	959	10	the	the	DET
ap-7699	959	11	computation	computation	NOUN
ap-7699	959	12	of	of	ADP
ap-7699	959	13	uv	uv	NOUN
ap-7699	959	14	divergences	divergence	NOUN
ap-7699	959	15	for	for	ADP
ap-7699	959	16	quadratic	quadratic	ADJ
ap-7699	959	17	theory	theory	NOUN
ap-7699	959	18	from	from	ADP
ap-7699	959	19	the	the	DET
ap-7699	959	20	perspective	perspective	NOUN
ap-7699	959	21	of	of	ADP
ap-7699	959	22	problems	problem	NOUN
ap-7699	959	23	that	that	PRON
ap-7699	959	24	we	we	PRON
ap-7699	959	25	have	have	AUX
ap-7699	959	26	initially	initially	ADV
ap-7699	959	27	encountered	encounter	VERB
ap-7699	959	28	in	in	ADP
ap-7699	959	29	six	six	NUM
ap-7699	959	30	-	-	PUNCT
ap-7699	959	31	derivative	derivative	ADJ
ap-7699	959	32	theory	theory	NOUN
ap-7699	959	33	for	for	ADP
ap-7699	959	34	the	the	DET
ap-7699	959	35	same	same	ADJ
ap-7699	959	36	computation	computation	NOUN
ap-7699	959	37	.	.	PUNCT
ap-7699	960	1	first	first	ADV
ap-7699	960	2	,	,	PUNCT
ap-7699	960	3	we	we	PRON
ap-7699	960	4	established	establish	VERB
ap-7699	960	5	,	,	PUNCT
ap-7699	960	6	in	in	ADP
ap-7699	960	7	the	the	DET
ap-7699	960	8	middle	middle	ADJ
ap-7699	960	9	steps	step	NOUN
ap-7699	960	10	of	of	ADP
ap-7699	960	11	our	our	PRON
ap-7699	960	12	computation	computation	NOUN
ap-7699	960	13	for	for	ADP
ap-7699	960	14	the	the	DET
ap-7699	960	15	results	result	NOUN
ap-7699	960	16	published	publish	VERB
ap-7699	960	17	in	in	ADP
ap-7699	960	18	[	[	X
ap-7699	960	19	26	26	NUM
ap-7699	960	20	]	]	PUNCT
ap-7699	960	21	,	,	PUNCT
ap-7699	960	22	that	that	SCONJ
ap-7699	960	23	in	in	ADP
ap-7699	960	24	the	the	DET
ap-7699	960	25	traces	trace	NOUN
ap-7699	960	26	tr	tr	VERB
ap-7699	960	27	ln	ln	ADJ
ap-7699	960	28	ĥ	ĥ	PUNCT
ap-7699	960	29	and	and	CCONJ
ap-7699	960	30	tr	tr	AUX
ap-7699	960	31	ln	ln	ADJ
ap-7699	960	32	ĉ	ĉ	X
ap-7699	960	33	in	in	ADP
ap-7699	960	34	stelle	stelle	PROPN
ap-7699	960	35	gravity	gravity	NOUN
ap-7699	960	36	there	there	PRON
ap-7699	960	37	are	be	VERB
ap-7699	960	38	no	no	DET
ap-7699	960	39	any	any	DET
ap-7699	960	40	dangerous	dangerous	ADJ
ap-7699	960	41	1	1	NUM
ap-7699	960	42	y	y	NOUN
ap-7699	960	43	=	=	SYM
ap-7699	960	44	1	1	NUM
ap-7699	960	45	2ωc	2ωc	ADJ
ap-7699	960	46	−3ωr	−3ωr	NOUN
ap-7699	960	47	poles	pole	NOUN
ap-7699	960	48	(	(	PUNCT
ap-7699	960	49	cf	cf	NOUN
ap-7699	960	50	.	.	PUNCT
ap-7699	961	1	[	[	X
ap-7699	961	2	42	42	NUM
ap-7699	961	3	]	]	PUNCT
ap-7699	961	4	)	)	PUNCT
ap-7699	961	5	.	.	PUNCT
ap-7699	962	1	the	the	DET
ap-7699	962	2	cancellations	cancellation	NOUN
ap-7699	962	3	happen	happen	VERB
ap-7699	962	4	separately	separately	ADV
ap-7699	962	5	within	within	ADP
ap-7699	962	6	each	each	DET
ap-7699	962	7	trace	trace	NOUN
ap-7699	962	8	.	.	PUNCT
ap-7699	963	1	second	second	ADJ
ap-7699	963	2	thing	thing	NOUN
ap-7699	963	3	is	be	AUX
ap-7699	963	4	that	that	SCONJ
ap-7699	963	5	we	we	PRON
ap-7699	963	6	found	find	VERB
ap-7699	963	7	that	that	SCONJ
ap-7699	963	8	the	the	DET
ap-7699	963	9	trace	trace	NOUN
ap-7699	963	10	tr	tr	VERB
ap-7699	963	11	ln	ln	ADJ
ap-7699	963	12	ĉ	ĉ	X
ap-7699	963	13	surprisingly	surprisingly	ADV
ap-7699	963	14	completely	completely	ADV
ap-7699	963	15	does	do	AUX
ap-7699	963	16	not	not	PART
ap-7699	963	17	depend	depend	VERB
ap-7699	963	18	on	on	ADP
ap-7699	963	19	the	the	DET
ap-7699	963	20	gauge	gauge	NOUN
ap-7699	963	21	-	-	PUNCT
ap-7699	963	22	fixing	fix	VERB
ap-7699	963	23	parameter	parameter	NOUN
ap-7699	963	24	γ	γ	PROPN
ap-7699	963	25	,	,	PUNCT
ap-7699	963	26	which	which	PRON
ap-7699	963	27	was	be	AUX
ap-7699	963	28	needed	need	VERB
ap-7699	963	29	and	and	CCONJ
ap-7699	963	30	used	use	VERB
ap-7699	963	31	in	in	ADP
ap-7699	963	32	the	the	DET
ap-7699	963	33	initial	initial	ADJ
ap-7699	963	34	definition	definition	NOUN
ap-7699	963	35	of	of	ADP
ap-7699	963	36	the	the	DET
ap-7699	963	37	ĉ	ĉ	NOUN
ap-7699	963	38	operator	operator	NOUN
ap-7699	963	39	in	in	ADP
ap-7699	963	40	(	(	PUNCT
ap-7699	963	41	15	15	NUM
ap-7699	963	42	)	)	PUNCT
ap-7699	963	43	.	.	PUNCT
ap-7699	964	1	finally	finally	ADV
ap-7699	964	2	,	,	PUNCT
ap-7699	964	3	one	one	PRON
ap-7699	964	4	can	can	AUX
ap-7699	964	5	notice	notice	VERB
ap-7699	964	6	that	that	SCONJ
ap-7699	964	7	the	the	DET
ap-7699	964	8	addition	addition	NOUN
ap-7699	964	9	of	of	ADP
ap-7699	964	10	the	the	DET
ap-7699	964	11	gauss	gauss	ADJ
ap-7699	964	12	-	-	PUNCT
ap-7699	964	13	bonnet	bonnet	NOUN
ap-7699	964	14	term	term	NOUN
ap-7699	964	15	in	in	ADP
ap-7699	964	16	d	d	PROPN
ap-7699	964	17	=	=	SYM
ap-7699	964	18	4	4	NUM
ap-7699	964	19	spacetime	spacetime	NOUN
ap-7699	964	20	dimension	dimension	NOUN
ap-7699	964	21	,	,	PUNCT
ap-7699	964	22	does	do	AUX
ap-7699	964	23	not	not	PART
ap-7699	964	24	change	change	VERB
ap-7699	964	25	anything	anything	PRON
ap-7699	964	26	for	for	ADP
ap-7699	964	27	r2	r2	NOUN
ap-7699	964	28	,	,	PUNCT
ap-7699	964	29	r2	r2	PROPN
ap-7699	964	30	µν	µν	INTJ
ap-7699	964	31	,	,	PUNCT
ap-7699	964	32	and	and	CCONJ
ap-7699	964	33	r2	r2	PROPN
ap-7699	964	34	µνρσ	µνρσ	VERB
ap-7699	964	35	divergences	divergence	NOUN
ap-7699	964	36	(	(	PUNCT
ap-7699	964	37	as	as	SCONJ
ap-7699	964	38	it	it	PRON
ap-7699	964	39	was	be	AUX
ap-7699	964	40	expected	expect	VERB
ap-7699	964	41	)	)	PUNCT
ap-7699	964	42	,	,	PUNCT
ap-7699	964	43	because	because	SCONJ
ap-7699	964	44	its	its	PRON
ap-7699	964	45	variation	variation	NOUN
ap-7699	964	46	is	be	AUX
ap-7699	964	47	a	a	DET
ap-7699	964	48	topological	topological	ADJ
ap-7699	964	49	term	term	NOUN
ap-7699	964	50	in	in	ADP
ap-7699	964	51	d	d	PROPN
ap-7699	964	52	=	=	SYM
ap-7699	964	53	4	4	X
ap-7699	964	54	.	.	PUNCT
ap-7699	965	1	in	in	ADP
ap-7699	965	2	this	this	DET
ap-7699	965	3	last	last	ADJ
ap-7699	965	4	part	part	NOUN
ap-7699	965	5	,	,	PUNCT
ap-7699	965	6	we	we	PRON
ap-7699	965	7	use	use	VERB
ap-7699	965	8	the	the	DET
ap-7699	965	9	schematic	schematic	ADJ
ap-7699	965	10	notation	notation	NOUN
ap-7699	965	11	for	for	ADP
ap-7699	965	12	various	various	ADJ
ap-7699	965	13	gravitational	gravitational	ADJ
ap-7699	965	14	theories	theory	NOUN
ap-7699	965	15	,	,	PUNCT
ap-7699	965	16	when	when	SCONJ
ap-7699	965	17	we	we	PRON
ap-7699	965	18	do	do	AUX
ap-7699	965	19	not	not	PART
ap-7699	965	20	write	write	VERB
ap-7699	965	21	,	,	PUNCT
ap-7699	965	22	for	for	ADP
ap-7699	965	23	simplicity	simplicity	NOUN
ap-7699	965	24	,	,	PUNCT
ap-7699	965	25	the	the	DET
ap-7699	965	26	coupling	coupling	NOUN
ap-7699	965	27	coefficients	coefficient	VERB
ap-7699	965	28	in	in	ADP
ap-7699	965	29	front	front	NOUN
ap-7699	965	30	of	of	ADP
ap-7699	965	31	various	various	ADJ
ap-7699	965	32	terms	term	NOUN
ap-7699	965	33	since	since	SCONJ
ap-7699	965	34	they	they	PRON
ap-7699	965	35	are	be	AUX
ap-7699	965	36	not	not	PART
ap-7699	965	37	the	the	DET
ap-7699	965	38	most	most	ADV
ap-7699	965	39	important	important	ADJ
ap-7699	965	40	for	for	ADP
ap-7699	965	41	the	the	DET
ap-7699	965	42	considerations	consideration	NOUN
ap-7699	965	43	here	here	ADV
ap-7699	965	44	.	.	PUNCT
ap-7699	966	1	in	in	ADP
ap-7699	966	2	the	the	DET
ap-7699	966	3	case	case	NOUN
ap-7699	966	4	of	of	ADP
ap-7699	966	5	six	six	NUM
ap-7699	966	6	-	-	PUNCT
ap-7699	966	7	derivative	derivative	ADJ
ap-7699	966	8	theories	theory	NOUN
ap-7699	966	9	,	,	PUNCT
ap-7699	966	10	it	it	PRON
ap-7699	966	11	is	be	AUX
ap-7699	966	12	impossible	impossible	ADJ
ap-7699	966	13	to	to	PART
ap-7699	966	14	obtain	obtain	VERB
ap-7699	966	15	the	the	DET
ap-7699	966	16	results	result	NOUN
ap-7699	966	17	for	for	ADP
ap-7699	966	18	the	the	DET
ap-7699	966	19	cases	case	NOUN
ap-7699	966	20	with	with	ADP
ap-7699	966	21	ωc	ωc	PROPN
ap-7699	966	22	=	=	SYM
ap-7699	966	23	0	0	NUM
ap-7699	966	24	or	or	CCONJ
ap-7699	966	25	ωr	ωr	VERB
ap-7699	966	26	=	=	SYM
ap-7699	966	27	0	0	NUM
ap-7699	966	28	by	by	ADP
ap-7699	966	29	any	any	DET
ap-7699	966	30	limiting	limit	VERB
ap-7699	966	31	procedures	procedure	NOUN
ap-7699	966	32	of	of	ADP
ap-7699	966	33	the	the	DET
ap-7699	966	34	corresponding	corresponding	ADJ
ap-7699	966	35	results	result	NOUN
ap-7699	966	36	obtained	obtain	VERB
ap-7699	966	37	for	for	ADP
ap-7699	966	38	the	the	DET
ap-7699	966	39	general	general	ADJ
ap-7699	966	40	six	six	NUM
ap-7699	966	41	-	-	PUNCT
ap-7699	966	42	derivative	derivative	ADJ
ap-7699	966	43	theory	theory	NOUN
ap-7699	966	44	with	with	ADP
ap-7699	966	45	ωr	ωr	ADV
ap-7699	966	46	̸=	̸=	PROPN
ap-7699	966	47	0	0	NUM
ap-7699	966	48	and	and	CCONJ
ap-7699	966	49	ωc	ωc	ADP
ap-7699	966	50	̸=	̸=	PROPN
ap-7699	966	51	0	0	NUM
ap-7699	966	52	.	.	PUNCT
ap-7699	967	1	these	these	DET
ap-7699	967	2	reduced	reduce	VERB
ap-7699	967	3	theories	theory	NOUN
ap-7699	967	4	have	have	VERB
ap-7699	967	5	different	different	ADJ
ap-7699	967	6	bilinear	bilinear	NOUN
ap-7699	967	7	parts	part	NOUN
ap-7699	967	8	,	,	PUNCT
ap-7699	967	9	with	with	ADP
ap-7699	967	10	degenerate	degenerate	ADJ
ap-7699	967	11	forms	form	NOUN
ap-7699	967	12	of	of	ADP
ap-7699	967	13	the	the	DET
ap-7699	967	14	kinetic	kinetic	ADJ
ap-7699	967	15	operator	operator	NOUN
ap-7699	967	16	and	and	CCONJ
ap-7699	967	17	our	our	PRON
ap-7699	967	18	calculation	calculation	NOUN
ap-7699	967	19	methods	method	NOUN
ap-7699	967	20	break	break	VERB
ap-7699	967	21	down	down	ADP
ap-7699	967	22	here	here	ADV
ap-7699	967	23	.	.	PUNCT
ap-7699	968	1	similarly	similarly	ADV
ap-7699	968	2	,	,	PUNCT
ap-7699	968	3	one	one	PRON
ap-7699	968	4	can	can	AUX
ap-7699	968	5	calculate	calculate	VERB
ap-7699	968	6	the	the	DET
ap-7699	968	7	beta	beta	NOUN
ap-7699	968	8	functions	function	NOUN
ap-7699	968	9	in	in	ADP
ap-7699	968	10	a	a	DET
ap-7699	968	11	theory	theory	NOUN
ap-7699	968	12	with	with	ADP
ap-7699	968	13	r2	r2	PROPN
ap-7699	968	14	only	only	ADV
ap-7699	968	15	and	and	CCONJ
ap-7699	968	16	this	this	PRON
ap-7699	968	17	was	be	AUX
ap-7699	968	18	done	do	VERB
ap-7699	968	19	indirectly	indirectly	ADV
ap-7699	968	20	many	many	ADJ
ap-7699	968	21	times	time	NOUN
ap-7699	968	22	.	.	PUNCT
ap-7699	969	1	one	one	PRON
ap-7699	969	2	can	can	AUX
ap-7699	969	3	also	also	ADV
ap-7699	969	4	calculate	calculate	VERB
ap-7699	969	5	uv	uv	NOUN
ap-7699	969	6	divergences	divergence	NOUN
ap-7699	969	7	in	in	ADP
ap-7699	969	8	c	c	NOUN
ap-7699	969	9	□	□	SYM
ap-7699	969	10	c	c	NOUN
ap-7699	969	11	+	+	SYM
ap-7699	969	12	r2	r2	NOUN
ap-7699	969	13	theory	theory	NOUN
ap-7699	969	14	or	or	CCONJ
ap-7699	969	15	in	in	ADP
ap-7699	969	16	an	an	DET
ap-7699	969	17	analogous	analogous	ADJ
ap-7699	969	18	r	r	NOUN
ap-7699	969	19	□	□	NOUN
ap-7699	969	20	r	r	NOUN
ap-7699	969	21	+	+	NUM
ap-7699	969	22	c2	c2	PROPN
ap-7699	969	23	theory	theory	NOUN
ap-7699	969	24	,	,	PUNCT
ap-7699	969	25	but	but	CCONJ
ap-7699	969	26	this	this	PRON
ap-7699	969	27	is	be	AUX
ap-7699	969	28	actually	actually	ADV
ap-7699	969	29	not	not	PART
ap-7699	969	30	easy	easy	ADJ
ap-7699	969	31	to	to	PART
ap-7699	969	32	do	do	VERB
ap-7699	969	33	.	.	PUNCT
ap-7699	970	1	but	but	CCONJ
ap-7699	970	2	then	then	ADV
ap-7699	970	3	we	we	PRON
ap-7699	970	4	can	can	AUX
ap-7699	970	5	not	not	PART
ap-7699	970	6	easily	easily	ADV
ap-7699	970	7	extract	extract	VERB
ap-7699	970	8	these	these	DET
ap-7699	970	9	results	result	NOUN
ap-7699	970	10	from	from	ADP
ap-7699	970	11	our	our	PRON
ap-7699	970	12	general	general	ADJ
ap-7699	970	13	calculation	calculation	NOUN
ap-7699	970	14	done	do	VERB
ap-7699	970	15	in	in	ADP
ap-7699	970	16	c	c	NOUN
ap-7699	970	17	□	□	X
ap-7699	970	18	c	c	NOUN
ap-7699	970	19	+	+	NOUN
ap-7699	970	20	r	r	NOUN
ap-7699	970	21	□	□	SYM
ap-7699	970	22	r	r	NOUN
ap-7699	970	23	six	six	NUM
ap-7699	970	24	-	-	PUNCT
ap-7699	970	25	derivative	derivative	NOUN
ap-7699	970	26	theory	theory	NOUN
ap-7699	970	27	.	.	PUNCT
ap-7699	971	1	the	the	DET
ap-7699	971	2	simple	simple	ADJ
ap-7699	971	3	reason	reason	NOUN
ap-7699	971	4	is	be	AUX
ap-7699	971	5	that	that	SCONJ
ap-7699	971	6	all	all	DET
ap-7699	971	7	these	these	DET
ap-7699	971	8	theories	theory	NOUN
ap-7699	971	9	have	have	VERB
ap-7699	971	10	different	different	ADJ
ap-7699	971	11	amount	amount	NOUN
ap-7699	971	12	and	and	CCONJ
ap-7699	971	13	characteristics	characteristic	NOUN
ap-7699	971	14	of	of	ADP
ap-7699	971	15	degrees	degree	NOUN
ap-7699	971	16	of	of	ADP
ap-7699	971	17	freedom	freedom	NOUN
ap-7699	971	18	and	and	CCONJ
ap-7699	971	19	the	the	DET
ap-7699	971	20	transition	transition	NOUN
ap-7699	971	21	from	from	ADP
ap-7699	971	22	one	one	NUM
ap-7699	971	23	to	to	ADP
ap-7699	971	24	another	another	PRON
ap-7699	971	25	at	at	ADP
ap-7699	971	26	quantum	quantum	ADJ
ap-7699	971	27	level	level	NOUN
ap-7699	971	28	is	be	AUX
ap-7699	971	29	complicated	complicate	VERB
ap-7699	971	30	(	(	PUNCT
ap-7699	971	31	and	and	CCONJ
ap-7699	971	32	to	to	ADP
ap-7699	971	33	some	some	DET
ap-7699	971	34	extent	extent	NOUN
ap-7699	971	35	unknown	unknown	ADJ
ap-7699	971	36	)	)	PUNCT
ap-7699	971	37	.	.	PUNCT
ap-7699	972	1	moreover	moreover	ADV
ap-7699	972	2	,	,	PUNCT
ap-7699	972	3	we	we	PRON
ap-7699	972	4	remark	remark	VERB
ap-7699	972	5	,	,	PUNCT
ap-7699	972	6	that	that	SCONJ
ap-7699	972	7	the	the	DET
ap-7699	972	8	results	result	NOUN
ap-7699	972	9	for	for	ADP
ap-7699	972	10	beta	beta	NOUN
ap-7699	972	11	functions	function	NOUN
ap-7699	972	12	in	in	ADP
ap-7699	972	13	models	model	NOUN
ap-7699	972	14	c	c	X
ap-7699	972	15	□	□	SYM
ap-7699	972	16	c	c	NOUN
ap-7699	972	17	+	+	X
ap-7699	972	18	r2	r2	PROPN
ap-7699	972	19	(	(	PUNCT
ap-7699	972	20	or	or	CCONJ
ap-7699	972	21	c	c	NOUN
ap-7699	972	22	□	□	X
ap-7699	972	23	c	c	NOUN
ap-7699	972	24	+	+	NOUN
ap-7699	972	25	r2	r2	PROPN
ap-7699	972	26	+	+	CCONJ
ap-7699	972	27	c2	c2	PROPN
ap-7699	972	28	)	)	PUNCT
ap-7699	972	29	or	or	CCONJ
ap-7699	972	30	in	in	ADP
ap-7699	972	31	r	r	NOUN
ap-7699	972	32	□	□	PUNCT
ap-7699	972	33	r	r	NOUN
ap-7699	972	34	+	+	X
ap-7699	972	35	c2	c2	PROPN
ap-7699	972	36	(	(	PUNCT
ap-7699	972	37	or	or	CCONJ
ap-7699	972	38	r	r	NOUN
ap-7699	972	39	□	□	NOUN
ap-7699	972	40	r	r	NOUN
ap-7699	972	41	+	+	X
ap-7699	972	42	c2	c2	PROPN
ap-7699	972	43	+	+	CCONJ
ap-7699	972	44	r2	r2	NOUN
ap-7699	972	45	)	)	PUNCT
ap-7699	972	46	could	could	AUX
ap-7699	972	47	be	be	AUX
ap-7699	972	48	obtained	obtain	VERB
ap-7699	972	49	by	by	ADP
ap-7699	972	50	though	though	SCONJ
ap-7699	972	51	different	different	ADJ
ap-7699	972	52	computations	computation	NOUN
ap-7699	972	53	than	than	ADP
ap-7699	972	54	what	what	PRON
ap-7699	972	55	we	we	PRON
ap-7699	972	56	have	have	AUX
ap-7699	972	57	done	do	VERB
ap-7699	972	58	here	here	ADV
ap-7699	972	59	.	.	PUNCT
ap-7699	973	1	we	we	PRON
ap-7699	973	2	summarize	summarize	VERB
ap-7699	973	3	that	that	SCONJ
ap-7699	973	4	the	the	DET
ap-7699	973	5	six	six	NUM
ap-7699	973	6	-	-	PUNCT
ap-7699	973	7	derivative	derivative	ADJ
ap-7699	973	8	gravitational	gravitational	ADJ
ap-7699	973	9	theory	theory	NOUN
ap-7699	973	10	to	to	PART
ap-7699	973	11	be	be	AUX
ap-7699	973	12	renormalizable	renormalizable	ADJ
ap-7699	973	13	must	must	AUX
ap-7699	973	14	contain	contain	VERB
ap-7699	973	15	both	both	DET
ap-7699	973	16	terms	term	NOUN
ap-7699	973	17	of	of	ADP
ap-7699	973	18	the	the	DET
ap-7699	973	19	type	type	NOUN
ap-7699	973	20	c	c	NOUN
ap-7699	973	21	□	□	NOUN
ap-7699	973	22	c	c	NOUN
ap-7699	973	23	and	and	CCONJ
ap-7699	973	24	r	r	X
ap-7699	973	25	□	□	X
ap-7699	973	26	r.	r.	NOUN
ap-7699	973	27	then	then	ADV
ap-7699	973	28	the	the	DET
ap-7699	973	29	kinetic	kinetic	ADJ
ap-7699	973	30	operator	operator	NOUN
ap-7699	973	31	(	(	PUNCT
ap-7699	973	32	hessian	hessian	NOUN
ap-7699	973	33	)	)	PUNCT
ap-7699	973	34	between	between	ADP
ap-7699	973	35	gravitational	gravitational	ADJ
ap-7699	973	36	fluctuations	fluctuation	NOUN
ap-7699	973	37	and	and	CCONJ
ap-7699	973	38	the	the	DET
ap-7699	973	39	graviton	graviton	NOUN
ap-7699	973	40	’s	’s	PART
ap-7699	973	41	propagator	propagator	NOUN
ap-7699	973	42	are	be	AUX
ap-7699	973	43	well	well	ADV
ap-7699	973	44	-	-	PUNCT
ap-7699	973	45	defined	define	VERB
ap-7699	973	46	.	.	PUNCT
ap-7699	974	1	in	in	ADP
ap-7699	974	2	all	all	DET
ap-7699	974	3	other	other	ADJ
ap-7699	974	4	models	model	NOUN
ap-7699	974	5	,	,	PUNCT
ap-7699	974	6	there	there	PRON
ap-7699	974	7	is	be	VERB
ap-7699	974	8	not	not	PART
ap-7699	974	9	a	a	DET
ap-7699	974	10	balance	balance	NOUN
ap-7699	974	11	between	between	ADP
ap-7699	974	12	the	the	DET
ap-7699	974	13	number	number	NOUN
ap-7699	974	14	of	of	ADP
ap-7699	974	15	derivatives	derivative	NOUN
ap-7699	974	16	in	in	ADP
ap-7699	974	17	the	the	DET
ap-7699	974	18	vertices	vertex	NOUN
ap-7699	974	19	of	of	ADP
ap-7699	974	20	the	the	DET
ap-7699	974	21	theory	theory	NOUN
ap-7699	974	22	and	and	CCONJ
ap-7699	974	23	in	in	ADP
ap-7699	974	24	all	all	DET
ap-7699	974	25	gauge	gauge	ADJ
ap-7699	974	26	-	-	PUNCT
ap-7699	974	27	invariant	invariant	ADJ
ap-7699	974	28	pieces	piece	NOUN
ap-7699	974	29	of	of	ADP
ap-7699	974	30	the	the	DET
ap-7699	974	31	propagator	propagator	NOUN
ap-7699	974	32	,	,	PUNCT
ap-7699	974	33	so	so	SCONJ
ap-7699	974	34	the	the	DET
ap-7699	974	35	theory	theory	NOUN
ap-7699	974	36	behaves	behave	VERB
ap-7699	974	37	badly	badly	ADV
ap-7699	974	38	regarding	regard	VERB
ap-7699	974	39	perturbative	perturbative	ADJ
ap-7699	974	40	uv	uv	NOUN
ap-7699	974	41	divergences	divergence	NOUN
ap-7699	974	42	at	at	ADP
ap-7699	974	43	higher	high	ADJ
ap-7699	974	44	loops	loop	NOUN
ap-7699	974	45	.	.	PUNCT
ap-7699	975	1	this	this	PRON
ap-7699	975	2	does	do	AUX
ap-7699	975	3	not	not	PART
ap-7699	975	4	mean	mean	VERB
ap-7699	975	5	that	that	SCONJ
ap-7699	975	6	the	the	DET
ap-7699	975	7	computation	computation	NOUN
ap-7699	975	8	of	of	ADP
ap-7699	975	9	uv	uv	NOUN
ap-7699	975	10	divergences	divergence	NOUN
ap-7699	975	11	at	at	ADP
ap-7699	975	12	one	one	NUM
ap-7699	975	13	-	-	PUNCT
ap-7699	975	14	loop	loop	NOUN
ap-7699	975	15	level	level	NOUN
ap-7699	975	16	is	be	AUX
ap-7699	975	17	forbidden	forbid	VERB
ap-7699	975	18	,	,	PUNCT
ap-7699	975	19	just	just	ADV
ap-7699	975	20	only	only	ADV
ap-7699	975	21	that	that	SCONJ
ap-7699	975	22	usually	usually	ADV
ap-7699	975	23	these	these	PRON
ap-7699	975	24	are	be	AUX
ap-7699	975	25	not	not	PART
ap-7699	975	26	all	all	DET
ap-7699	975	27	divergences	divergence	NOUN
ap-7699	975	28	in	in	ADP
ap-7699	975	29	the	the	DET
ap-7699	975	30	theory	theory	NOUN
ap-7699	975	31	,	,	PUNCT
ap-7699	975	32	they	they	PRON
ap-7699	975	33	may	may	AUX
ap-7699	975	34	not	not	PART
ap-7699	975	35	be	be	AUX
ap-7699	975	36	the	the	DET
ap-7699	975	37	uv	uv	NOUN
ap-7699	975	38	-	-	PUNCT
ap-7699	975	39	leading	lead	VERB
ap-7699	975	40	ones	one	NOUN
ap-7699	975	41	anymore	anymore	ADV
ap-7699	975	42	or	or	CCONJ
ap-7699	975	43	the	the	DET
ap-7699	975	44	theory	theory	NOUN
ap-7699	975	45	does	do	AUX
ap-7699	975	46	not	not	PART
ap-7699	975	47	have	have	VERB
ap-7699	975	48	decent	decent	ADJ
ap-7699	975	49	control	control	NOUN
ap-7699	975	50	over	over	ADP
ap-7699	975	51	all	all	PRON
ap-7699	975	52	of	of	ADP
ap-7699	975	53	them	they	PRON
ap-7699	975	54	.	.	PUNCT
ap-7699	976	1	for	for	ADP
ap-7699	976	2	the	the	DET
ap-7699	976	3	strictly	strictly	ADV
ap-7699	976	4	non	non	ADJ
ap-7699	976	5	-	-	ADJ
ap-7699	976	6	renormalizable	renormalizable	ADJ
ap-7699	976	7	theory	theory	NOUN
ap-7699	976	8	with	with	ADP
ap-7699	976	9	the	the	DET
ap-7699	976	10	leading	leading	NOUN
ap-7699	976	11	in	in	ADP
ap-7699	976	12	the	the	DET
ap-7699	976	13	uv	uv	NOUN
ap-7699	976	14	term	term	NOUN
ap-7699	976	15	c	c	X
ap-7699	976	16	□	□	PROPN
ap-7699	976	17	c	c	X
ap-7699	976	18	we	we	PRON
ap-7699	976	19	can	can	AUX
ap-7699	976	20	have	have	VERB
ap-7699	976	21	additions	addition	NOUN
ap-7699	976	22	of	of	ADP
ap-7699	976	23	various	various	ADJ
ap-7699	976	24	subleading	subleading	ADJ
ap-7699	976	25	terms	term	NOUN
ap-7699	976	26	which	which	PRON
ap-7699	976	27	do	do	AUX
ap-7699	976	28	not	not	PART
ap-7699	976	29	change	change	VERB
ap-7699	976	30	the	the	DET
ap-7699	976	31	fact	fact	NOUN
ap-7699	976	32	of	of	ADP
ap-7699	976	33	non	non	NOUN
ap-7699	976	34	-	-	NOUN
ap-7699	976	35	renormalizability	renormalizability	NOUN
ap-7699	976	36	.	.	PUNCT
ap-7699	977	1	we	we	PRON
ap-7699	977	2	can	can	AUX
ap-7699	977	3	add	add	VERB
ap-7699	977	4	terms	term	NOUN
ap-7699	977	5	(	(	PUNCT
ap-7699	977	6	separately	separately	ADV
ap-7699	977	7	or	or	CCONJ
ap-7699	977	8	in	in	ADP
ap-7699	977	9	conjunction	conjunction	NOUN
ap-7699	977	10	)	)	PUNCT
ap-7699	977	11	of	of	ADP
ap-7699	977	12	the	the	DET
ap-7699	977	13	following	follow	VERB
ap-7699	977	14	types	type	NOUN
ap-7699	977	15	:	:	PUNCT
ap-7699	977	16	ωλ	ωλ	ADJ
ap-7699	977	17	(	(	PUNCT
ap-7699	977	18	cosmological	cosmological	ADJ
ap-7699	977	19	constant	constant	ADJ
ap-7699	977	20	term	term	NOUN
ap-7699	977	21	)	)	PUNCT
ap-7699	977	22	,	,	PUNCT
ap-7699	977	23	r	r	NOUN
ap-7699	977	24	(	(	PUNCT
ap-7699	977	25	e	e	NOUN
ap-7699	977	26	-	-	NOUN
ap-7699	977	27	h	h	ADJ
ap-7699	977	28	term	term	NOUN
ap-7699	977	29	)	)	PUNCT
ap-7699	977	30	,	,	PUNCT
ap-7699	977	31	r2	r2	PROPN
ap-7699	977	32	(	(	PUNCT
ap-7699	977	33	starobinsky	starobinsky	PROPN
ap-7699	977	34	’s	’s	PART
ap-7699	977	35	term	term	NOUN
ap-7699	977	36	)	)	PUNCT
ap-7699	977	37	,	,	PUNCT
ap-7699	977	38	c2	c2	PROPN
ap-7699	977	39	(	(	PUNCT
ap-7699	977	40	weyl	weyl	PROPN
ap-7699	977	41	square	square	ADJ
ap-7699	977	42	term	term	NOUN
ap-7699	977	43	)	)	PUNCT
ap-7699	977	44	.	.	PUNCT
ap-7699	978	1	the	the	DET
ap-7699	978	2	uv	uv	NOUN
ap-7699	978	3	-	-	PUNCT
ap-7699	978	4	leading	lead	VERB
ap-7699	978	5	part	part	NOUN
ap-7699	978	6	of	of	ADP
ap-7699	978	7	the	the	DET
ap-7699	978	8	hessian	hessian	NOUN
ap-7699	978	9	still	still	ADV
ap-7699	978	10	is	be	AUX
ap-7699	978	11	defined	define	VERB
ap-7699	978	12	as	as	SCONJ
ap-7699	978	13	it	it	PRON
ap-7699	978	14	contains	contain	VERB
ap-7699	978	15	six	six	NUM
ap-7699	978	16	-	-	PUNCT
ap-7699	978	17	derivative	derivative	ADJ
ap-7699	978	18	differential	differential	NOUN
ap-7699	978	19	operator	operator	NOUN
ap-7699	978	20	understood	understand	VERB
ap-7699	978	21	on	on	ADP
ap-7699	978	22	flat	flat	ADJ
ap-7699	978	23	spacetime	spacetime	NOUN
ap-7699	978	24	and	and	CCONJ
ap-7699	978	25	between	between	ADP
ap-7699	978	26	tensorial	tensorial	ADJ
ap-7699	978	27	fluctuations	fluctuation	NOUN
ap-7699	978	28	,	,	PUNCT
ap-7699	978	29	so	so	ADV
ap-7699	978	30	derived	derive	VERB
ap-7699	978	31	from	from	ADP
ap-7699	978	32	the	the	DET
ap-7699	978	33	terms	term	NOUN
ap-7699	978	34	quadratic	quadratic	ADJ
ap-7699	978	35	in	in	ADP
ap-7699	978	36	curvatures	curvature	NOUN
ap-7699	978	37	.	.	PUNCT
ap-7699	979	1	the	the	DET
ap-7699	979	2	hessian	hessian	NOUN
ap-7699	979	3	is	be	AUX
ap-7699	979	4	non	non	ADJ
ap-7699	979	5	-	-	ADJ
ap-7699	979	6	degenerate	degenerate	ADJ
ap-7699	979	7	.	.	PUNCT
ap-7699	980	1	(	(	PUNCT
ap-7699	980	2	it	it	PRON
ap-7699	980	3	has	have	VERB
ap-7699	980	4	to	to	PART
ap-7699	980	5	be	be	AUX
ap-7699	980	6	nondegenerate	nondegenerate	ADJ
ap-7699	980	7	here	here	ADV
ap-7699	980	8	,	,	PUNCT
ap-7699	980	9	because	because	SCONJ
ap-7699	980	10	the	the	DET
ap-7699	980	11	gr	gr	PROPN
ap-7699	980	12	-	-	PUNCT
ap-7699	980	13	covariant	covariant	ADJ
ap-7699	980	14	box	box	PROPN
ap-7699	980	15	oper144	oper144	PROPN
ap-7699	980	16	vol	vol	NOUN
ap-7699	980	17	.	.	PUNCT
ap-7699	981	1	62	62	NUM
ap-7699	981	2	no	no	INTJ
ap-7699	981	3	.	.	PUNCT
ap-7699	982	1	1/2022	1/2022	NUM
ap-7699	982	2	beta	beta	NOUN
ap-7699	982	3	functions	function	NOUN
ap-7699	982	4	in	in	ADP
ap-7699	982	5	six	six	NUM
ap-7699	982	6	-	-	PUNCT
ap-7699	982	7	derivative	derivative	ADJ
ap-7699	982	8	quantum	quantum	NOUN
ap-7699	982	9	gravity	gravity	NOUN
ap-7699	982	10	ator	ator	NOUN
ap-7699	982	11	is	be	AUX
ap-7699	982	12	here	here	ADV
ap-7699	982	13	only	only	ADV
ap-7699	982	14	a	a	DET
ap-7699	982	15	spectator	spectator	NOUN
ap-7699	982	16	,	,	PUNCT
ap-7699	982	17	and	and	CCONJ
ap-7699	982	18	the	the	DET
ap-7699	982	19	hessian	hessian	NOUN
ap-7699	982	20	must	must	AUX
ap-7699	982	21	be	be	AUX
ap-7699	982	22	“	"	PUNCT
ap-7699	982	23	almost	almost	ADV
ap-7699	982	24	”	"	PUNCT
ap-7699	982	25	non	non	ADJ
ap-7699	982	26	-	-	ADJ
ap-7699	982	27	degenerate	degenerate	ADJ
ap-7699	982	28	for	for	ADP
ap-7699	982	29	the	the	DET
ap-7699	982	30	case	case	NOUN
ap-7699	982	31	of	of	ADP
ap-7699	982	32	conformal	conformal	ADJ
ap-7699	982	33	gravity	gravity	NOUN
ap-7699	982	34	with	with	ADP
ap-7699	982	35	the	the	DET
ap-7699	982	36	action	action	NOUN
ap-7699	982	37	c2	c2	PROPN
ap-7699	982	38	.	.	PUNCT
ap-7699	982	39	)	)	PUNCT
ap-7699	983	1	the	the	DET
ap-7699	983	2	flat	flat	ADJ
ap-7699	983	3	spacetime	spacetime	NOUN
ap-7699	983	4	propagator	propagator	NOUN
ap-7699	983	5	can	can	AUX
ap-7699	983	6	be	be	AUX
ap-7699	983	7	defined	define	VERB
ap-7699	983	8	only	only	ADV
ap-7699	983	9	if	if	SCONJ
ap-7699	983	10	we	we	PRON
ap-7699	983	11	make	make	VERB
ap-7699	983	12	addition	addition	NOUN
ap-7699	983	13	of	of	ADP
ap-7699	983	14	ωλ	ωλ	ADJ
ap-7699	983	15	,	,	PUNCT
ap-7699	983	16	or	or	CCONJ
ap-7699	983	17	r	r	NOUN
ap-7699	983	18	or	or	CCONJ
ap-7699	983	19	r2	r2	NOUN
ap-7699	983	20	terms	term	NOUN
ap-7699	983	21	–	–	PUNCT
ap-7699	983	22	this	this	PRON
ap-7699	983	23	is	be	AUX
ap-7699	983	24	because	because	SCONJ
ap-7699	983	25	of	of	ADP
ap-7699	983	26	the	the	DET
ap-7699	983	27	problematic	problematic	ADJ
ap-7699	983	28	part	part	NOUN
ap-7699	983	29	of	of	ADP
ap-7699	983	30	it	it	PRON
ap-7699	983	31	proportional	proportional	ADJ
ap-7699	983	32	to	to	ADP
ap-7699	983	33	the	the	DET
ap-7699	983	34	projector	projector	NOUN
ap-7699	983	35	p	p	NOUN
ap-7699	983	36	(	(	PUNCT
ap-7699	983	37	0	0	NUM
ap-7699	983	38	)	)	PUNCT
ap-7699	983	39	which	which	PRON
ap-7699	983	40	must	must	AUX
ap-7699	983	41	for	for	ADP
ap-7699	983	42	the	the	DET
ap-7699	983	43	consistency	consistency	NOUN
ap-7699	983	44	of	of	ADP
ap-7699	983	45	the	the	DET
ap-7699	983	46	inverting	inverting	NOUN
ap-7699	983	47	procedure	procedure	NOUN
ap-7699	983	48	for	for	ADP
ap-7699	983	49	the	the	DET
ap-7699	983	50	whole	whole	ADJ
ap-7699	983	51	propagator	propagator	NOUN
ap-7699	983	52	be	be	AUX
ap-7699	983	53	non	non	ADJ
ap-7699	983	54	-	-	ADJ
ap-7699	983	55	zero	zero	NUM
ap-7699	983	56	.	.	PUNCT
ap-7699	984	1	this	this	DET
ap-7699	984	2	scalar	scalar	ADJ
ap-7699	984	3	part	part	NOUN
ap-7699	984	4	(	(	PUNCT
ap-7699	984	5	spin-0	spin-0	NUM
ap-7699	984	6	part	part	NOUN
ap-7699	984	7	)	)	PUNCT
ap-7699	984	8	is	be	AUX
ap-7699	984	9	sourced	source	VERB
ap-7699	984	10	from	from	ADP
ap-7699	984	11	any	any	DET
ap-7699	984	12	scalar	scalar	ADJ
ap-7699	984	13	term	term	NOUN
ap-7699	984	14	or	or	CCONJ
ap-7699	984	15	from	from	ADP
ap-7699	984	16	the	the	DET
ap-7699	984	17	cosmological	cosmological	ADJ
ap-7699	984	18	constant	constant	ADJ
ap-7699	984	19	term	term	NOUN
ap-7699	984	20	.	.	PUNCT
ap-7699	985	1	if	if	SCONJ
ap-7699	985	2	only	only	ADV
ap-7699	985	3	the	the	DET
ap-7699	985	4	c2	c2	PROPN
ap-7699	985	5	term	term	NOUN
ap-7699	985	6	is	be	AUX
ap-7699	985	7	added	add	VERB
ap-7699	985	8	,	,	PUNCT
ap-7699	985	9	then	then	ADV
ap-7699	985	10	the	the	DET
ap-7699	985	11	propagator	propagator	NOUN
ap-7699	985	12	still	still	ADV
ap-7699	985	13	is	be	AUX
ap-7699	985	14	ill	ill	ADV
ap-7699	985	15	-	-	PUNCT
ap-7699	985	16	defined	define	VERB
ap-7699	985	17	.	.	PUNCT
ap-7699	986	1	still	still	ADV
ap-7699	986	2	these	these	DET
ap-7699	986	3	additions	addition	NOUN
ap-7699	986	4	do	do	AUX
ap-7699	986	5	not	not	PART
ap-7699	986	6	change	change	VERB
ap-7699	986	7	the	the	DET
ap-7699	986	8	fact	fact	NOUN
ap-7699	986	9	that	that	SCONJ
ap-7699	986	10	the	the	DET
ap-7699	986	11	theory	theory	NOUN
ap-7699	986	12	is	be	AUX
ap-7699	986	13	non	non	ADJ
ap-7699	986	14	-	-	ADJ
ap-7699	986	15	renormalizable	renormalizable	ADJ
ap-7699	986	16	,	,	PUNCT
ap-7699	986	17	if	if	SCONJ
ap-7699	986	18	there	there	PRON
ap-7699	986	19	is	be	VERB
ap-7699	986	20	not	not	PART
ap-7699	986	21	an	an	DET
ap-7699	986	22	accompanying	accompanying	ADJ
ap-7699	986	23	six	six	NUM
ap-7699	986	24	-	-	PUNCT
ap-7699	986	25	derivative	derivative	ADJ
ap-7699	986	26	term	term	NOUN
ap-7699	986	27	of	of	ADP
ap-7699	986	28	the	the	DET
ap-7699	986	29	form	form	NOUN
ap-7699	986	30	r	r	X
ap-7699	986	31	□	□	X
ap-7699	986	32	r.	r.	NOUN
ap-7699	986	33	as	as	ADP
ap-7699	986	34	for	for	ADP
ap-7699	986	35	the	the	DET
ap-7699	986	36	final	final	ADJ
ap-7699	986	37	results	result	NOUN
ap-7699	986	38	for	for	ADP
ap-7699	986	39	uv	uv	NOUN
ap-7699	986	40	divergences	divergence	NOUN
ap-7699	986	41	in	in	ADP
ap-7699	986	42	these	these	DET
ap-7699	986	43	extended	extended	ADJ
ap-7699	986	44	models	model	NOUN
ap-7699	986	45	,	,	PUNCT
ap-7699	986	46	naively	naively	ADV
ap-7699	986	47	one	one	PRON
ap-7699	986	48	would	would	AUX
ap-7699	986	49	think	think	VERB
ap-7699	986	50	that	that	SCONJ
ap-7699	986	51	there	there	PRON
ap-7699	986	52	are	be	VERB
ap-7699	986	53	no	no	DET
ap-7699	986	54	additional	additional	ADJ
ap-7699	986	55	uv	uv	NOUN
ap-7699	986	56	divergences	divergence	NOUN
ap-7699	986	57	proportional	proportional	ADJ
ap-7699	986	58	to	to	ADP
ap-7699	986	59	terms	term	NOUN
ap-7699	986	60	with	with	ADP
ap-7699	986	61	four	four	NUM
ap-7699	986	62	derivatives	derivative	NOUN
ap-7699	986	63	of	of	ADP
ap-7699	986	64	the	the	DET
ap-7699	986	65	metric	metric	ADJ
ap-7699	986	66	(	(	PUNCT
ap-7699	986	67	namely	namely	ADV
ap-7699	986	68	to	to	ADP
ap-7699	986	69	terms	term	NOUN
ap-7699	986	70	r2	r2	PROPN
ap-7699	986	71	,	,	PUNCT
ap-7699	986	72	c2	c2	PROPN
ap-7699	986	73	and	and	CCONJ
ap-7699	986	74	gb	gb	NOUN
ap-7699	986	75	)	)	PUNCT
ap-7699	986	76	,	,	PUNCT
ap-7699	986	77	because	because	SCONJ
ap-7699	986	78	of	of	ADP
ap-7699	986	79	the	the	DET
ap-7699	986	80	limit	limit	NOUN
ap-7699	986	81	ωr	ωr	X
ap-7699	986	82	→	→	SYM
ap-7699	986	83	0	0	NUM
ap-7699	986	84	and	and	CCONJ
ap-7699	986	85	the	the	DET
ap-7699	986	86	dependence	dependence	NOUN
ap-7699	986	87	on	on	ADP
ap-7699	986	88	the	the	DET
ap-7699	986	89	x	x	NOUN
ap-7699	986	90	ratio	ratio	NOUN
ap-7699	986	91	in	in	ADP
ap-7699	986	92	(	(	PUNCT
ap-7699	986	93	33	33	NUM
ap-7699	986	94	)	)	PUNCT
ap-7699	986	95	in	in	ADP
ap-7699	986	96	the	the	DET
ap-7699	986	97	linear	linear	ADJ
ap-7699	986	98	way	way	NOUN
ap-7699	986	99	.	.	PUNCT
ap-7699	987	1	we	we	PRON
ap-7699	987	2	would	would	AUX
ap-7699	987	3	naively	naively	ADV
ap-7699	987	4	think	think	VERB
ap-7699	987	5	that	that	SCONJ
ap-7699	987	6	divergences	divergence	NOUN
ap-7699	987	7	with	with	ADP
ap-7699	987	8	r2	r2	PROPN
ap-7699	987	9	and	and	CCONJ
ap-7699	987	10	gb	gb	PROPN
ap-7699	987	11	terms	term	NOUN
ap-7699	987	12	are	be	AUX
ap-7699	987	13	the	the	DET
ap-7699	987	14	same	same	ADJ
ap-7699	987	15	as	as	ADP
ap-7699	987	16	in	in	ADP
ap-7699	987	17	(	(	PUNCT
ap-7699	987	18	33	33	NUM
ap-7699	987	19	)	)	PUNCT
ap-7699	987	20	.	.	PUNCT
ap-7699	988	1	the	the	DET
ap-7699	988	2	only	only	ADJ
ap-7699	988	3	problematic	problematic	ADJ
ap-7699	988	4	one	one	PRON
ap-7699	988	5	could	could	AUX
ap-7699	988	6	be	be	AUX
ap-7699	988	7	this	this	DET
ap-7699	988	8	proportional	proportional	NOUN
ap-7699	988	9	to	to	ADP
ap-7699	988	10	the	the	DET
ap-7699	988	11	c2	c2	PROPN
ap-7699	988	12	term	term	NOUN
ap-7699	988	13	since	since	SCONJ
ap-7699	988	14	the	the	DET
ap-7699	988	15	limit	limit	NOUN
ap-7699	988	16	gives	give	VERB
ap-7699	988	17	already	already	ADV
ap-7699	988	18	divergent	divergent	ADJ
ap-7699	988	19	results	result	NOUN
ap-7699	988	20	(	(	PUNCT
ap-7699	988	21	so	so	ADV
ap-7699	988	22	“	"	PUNCT
ap-7699	988	23	doubly	doubly	ADV
ap-7699	988	24	”	"	PUNCT
ap-7699	988	25	divergent	divergent	ADJ
ap-7699	988	26	)	)	PUNCT
ap-7699	988	27	–	–	PUNCT
ap-7699	988	28	this	this	PRON
ap-7699	988	29	would	would	AUX
ap-7699	988	30	mean	mean	VERB
ap-7699	988	31	that	that	SCONJ
ap-7699	988	32	the	the	DET
ap-7699	988	33	coefficient	coefficient	NOUN
ap-7699	988	34	of	of	ADP
ap-7699	988	35	the	the	DET
ap-7699	988	36	c2	c2	PROPN
ap-7699	988	37	divergence	divergence	NOUN
ap-7699	988	38	is	be	AUX
ap-7699	988	39	further	far	ADV
ap-7699	988	40	divergent	divergent	ADJ
ap-7699	988	41	and	and	CCONJ
ap-7699	988	42	renormalization	renormalization	NOUN
ap-7699	988	43	of	of	ADP
ap-7699	988	44	just	just	ADV
ap-7699	988	45	c2	c2	PROPN
ap-7699	988	46	does	do	AUX
ap-7699	988	47	not	not	PART
ap-7699	988	48	absorb	absorb	VERB
ap-7699	988	49	everything	everything	PRON
ap-7699	988	50	at	at	ADP
ap-7699	988	51	the	the	DET
ap-7699	988	52	one	one	NUM
ap-7699	988	53	-	-	PUNCT
ap-7699	988	54	loop	loop	NOUN
ap-7699	988	55	level	level	NOUN
ap-7699	988	56	.	.	PUNCT
ap-7699	989	1	since	since	SCONJ
ap-7699	989	2	the	the	DET
ap-7699	989	3	model	model	NOUN
ap-7699	989	4	is	be	AUX
ap-7699	989	5	non	non	ADJ
ap-7699	989	6	-	-	ADJ
ap-7699	989	7	renormalizable	renormalizable	ADJ
ap-7699	989	8	we	we	PRON
ap-7699	989	9	can	can	AUX
ap-7699	989	10	not	not	PART
ap-7699	989	11	trust	trust	VERB
ap-7699	989	12	this	this	DET
ap-7699	989	13	computation	computation	NOUN
ap-7699	989	14	and	and	CCONJ
ap-7699	989	15	these	these	DET
ap-7699	989	16	limits	limit	NOUN
ap-7699	989	17	at	at	ADP
ap-7699	989	18	the	the	DET
ap-7699	989	19	end	end	NOUN
ap-7699	989	20	,	,	PUNCT
ap-7699	989	21	especially	especially	ADV
ap-7699	989	22	if	if	SCONJ
ap-7699	989	23	they	they	PRON
ap-7699	989	24	give	give	VERB
ap-7699	989	25	divergent	divergent	ADJ
ap-7699	989	26	results	result	NOUN
ap-7699	989	27	.	.	PUNCT
ap-7699	990	1	but	but	CCONJ
ap-7699	990	2	this	this	PRON
ap-7699	990	3	probably	probably	ADV
ap-7699	990	4	means	mean	VERB
ap-7699	990	5	that	that	SCONJ
ap-7699	990	6	we	we	PRON
ap-7699	990	7	can	can	AUX
ap-7699	990	8	not	not	PART
ap-7699	990	9	sensibly	sensibly	ADV
ap-7699	990	10	define	define	VERB
ap-7699	990	11	the	the	DET
ap-7699	990	12	c2	c2	PROPN
ap-7699	990	13	counterterm	counterterm	NOUN
ap-7699	990	14	needed	need	VERB
ap-7699	990	15	for	for	ADP
ap-7699	990	16	the	the	DET
ap-7699	990	17	uv	uv	NOUN
ap-7699	990	18	renormalization	renormalization	NOUN
ap-7699	990	19	in	in	ADP
ap-7699	990	20	these	these	DET
ap-7699	990	21	theories	theory	NOUN
ap-7699	990	22	.	.	PUNCT
ap-7699	991	1	in	in	ADP
ap-7699	991	2	a	a	DET
ap-7699	991	3	sense	sense	NOUN
ap-7699	991	4	an	an	DET
ap-7699	991	5	attempt	attempt	NOUN
ap-7699	991	6	of	of	ADP
ap-7699	991	7	adding	add	VERB
ap-7699	991	8	ωλ	ωλ	ADJ
ap-7699	991	9	or	or	CCONJ
ap-7699	991	10	r	r	NOUN
ap-7699	991	11	,	,	PUNCT
ap-7699	991	12	or	or	CCONJ
ap-7699	991	13	r2	r2	PROPN
ap-7699	991	14	terms	term	NOUN
ap-7699	991	15	to	to	PART
ap-7699	991	16	regularize	regularize	VERB
ap-7699	991	17	the	the	DET
ap-7699	991	18	theory	theory	NOUN
ap-7699	991	19	c	c	NOUN
ap-7699	991	20	□	□	PROPN
ap-7699	991	21	c	c	NOUN
ap-7699	991	22	+	+	X
ap-7699	991	23	c2	c2	PROPN
ap-7699	991	24	,	,	PUNCT
ap-7699	991	25	or	or	CCONJ
ap-7699	991	26	even	even	ADV
ap-7699	991	27	the	the	DET
ap-7699	991	28	simplest	simple	ADJ
ap-7699	991	29	one	one	NOUN
ap-7699	991	30	,	,	PUNCT
ap-7699	991	31	just	just	ADV
ap-7699	991	32	c	c	X
ap-7699	991	33	□	□	SYM
ap-7699	991	34	c	c	X
ap-7699	991	35	,	,	PUNCT
ap-7699	991	36	is	be	AUX
ap-7699	991	37	unsuccessful	unsuccessful	ADJ
ap-7699	991	38	so	so	SCONJ
ap-7699	991	39	we	we	PRON
ap-7699	991	40	perhaps	perhaps	ADV
ap-7699	991	41	still	still	ADV
ap-7699	991	42	can	can	AUX
ap-7699	991	43	not	not	PART
ap-7699	991	44	trust	trust	VERB
ap-7699	991	45	there	there	ADV
ap-7699	991	46	in	in	ADP
ap-7699	991	47	the	the	DET
ap-7699	991	48	final	final	ADJ
ap-7699	991	49	results	result	NOUN
ap-7699	991	50	just	just	ADV
ap-7699	991	51	given	give	VERB
ap-7699	991	52	by	by	ADP
ap-7699	991	53	two	two	NUM
ap-7699	991	54	b0	b0	NOUN
ap-7699	991	55	coefficients	coefficient	NOUN
ap-7699	991	56	of	of	ADP
ap-7699	991	57	uv	uv	NOUN
ap-7699	991	58	divergences	divergence	NOUN
ap-7699	991	59	proportional	proportional	ADJ
ap-7699	991	60	to	to	ADP
ap-7699	991	61	terms	term	NOUN
ap-7699	991	62	r2	r2	PROPN
ap-7699	991	63	and	and	CCONJ
ap-7699	991	64	gb	gb	NOUN
ap-7699	991	65	,	,	PUNCT
ap-7699	991	66	while	while	SCONJ
ap-7699	991	67	the	the	DET
ap-7699	991	68	c2	c2	PROPN
ap-7699	991	69	divergences	divergence	NOUN
ap-7699	991	70	are	be	AUX
ap-7699	991	71	never	never	ADV
ap-7699	991	72	well	well	ADV
ap-7699	991	73	-	-	PUNCT
ap-7699	991	74	defined	define	VERB
ap-7699	991	75	in	in	ADP
ap-7699	991	76	this	this	DET
ap-7699	991	77	class	class	NOUN
ap-7699	991	78	of	of	ADP
ap-7699	991	79	models	model	NOUN
ap-7699	991	80	.	.	PUNCT
ap-7699	992	1	instead	instead	ADV
ap-7699	992	2	,	,	PUNCT
ap-7699	992	3	in	in	ADP
ap-7699	992	4	the	the	DET
ap-7699	992	5	case	case	NOUN
ap-7699	992	6	of	of	ADP
ap-7699	992	7	the	the	DET
ap-7699	992	8	reduced	reduce	VERB
ap-7699	992	9	model	model	NOUN
ap-7699	992	10	with	with	ADP
ap-7699	992	11	r	r	NOUN
ap-7699	992	12	□	□	PUNCT
ap-7699	992	13	r	r	NOUN
ap-7699	992	14	uv	uv	NOUN
ap-7699	992	15	-	-	PUNCT
ap-7699	992	16	leading	lead	VERB
ap-7699	992	17	action	action	NOUN
ap-7699	992	18	,	,	PUNCT
ap-7699	992	19	one	one	PRON
ap-7699	992	20	may	may	AUX
ap-7699	992	21	keep	keep	VERB
ap-7699	992	22	some	some	DET
ap-7699	992	23	hope	hope	NOUN
ap-7699	992	24	that	that	SCONJ
ap-7699	992	25	the	the	DET
ap-7699	992	26	results	result	NOUN
ap-7699	992	27	for	for	ADP
ap-7699	992	28	the	the	DET
ap-7699	992	29	c2	c2	PROPN
ap-7699	992	30	counterterms	counterterm	NOUN
ap-7699	992	31	will	will	AUX
ap-7699	992	32	be	be	AUX
ap-7699	992	33	finite	finite	ADJ
ap-7699	992	34	at	at	ADP
ap-7699	992	35	the	the	DET
ap-7699	992	36	end	end	NOUN
ap-7699	992	37	,	,	PUNCT
ap-7699	992	38	but	but	CCONJ
ap-7699	992	39	maybe	maybe	ADV
ap-7699	992	40	still	still	ADV
ap-7699	992	41	discontinuous	discontinuous	ADJ
ap-7699	992	42	,	,	PUNCT
ap-7699	992	43	despite	despite	SCONJ
ap-7699	992	44	the	the	DET
ap-7699	992	45	non	non	NOUN
ap-7699	992	46	-	-	NOUN
ap-7699	992	47	renormalizability	renormalizability	NOUN
ap-7699	992	48	of	of	ADP
ap-7699	992	49	the	the	DET
ap-7699	992	50	model	model	NOUN
ap-7699	992	51	with	with	ADP
ap-7699	992	52	r	r	NOUN
ap-7699	992	53	□	□	NOUN
ap-7699	992	54	r	r	NOUN
ap-7699	992	55	action	action	NOUN
ap-7699	992	56	(	(	PUNCT
ap-7699	992	57	plus	plus	CCONJ
ap-7699	992	58	possible	possible	ADJ
ap-7699	992	59	lower	low	ADJ
ap-7699	992	60	derivative	derivative	ADJ
ap-7699	992	61	additions	addition	NOUN
ap-7699	992	62	to	to	PART
ap-7699	992	63	regularize	regularize	VERB
ap-7699	992	64	it	it	PRON
ap-7699	992	65	as	as	SCONJ
ap-7699	992	66	it	it	PRON
ap-7699	992	67	was	be	AUX
ap-7699	992	68	mentioned	mention	VERB
ap-7699	992	69	above	above	ADP
ap-7699	992	70	)	)	PUNCT
ap-7699	992	71	.	.	PUNCT
ap-7699	993	1	maybe	maybe	ADV
ap-7699	993	2	in	in	ADP
ap-7699	993	3	this	this	DET
ap-7699	993	4	reduced	reduce	VERB
ap-7699	993	5	models	model	NOUN
ap-7699	993	6	the	the	DET
ap-7699	993	7	results	result	NOUN
ap-7699	993	8	of	of	ADP
ap-7699	993	9	the	the	DET
ap-7699	993	10	projection	projection	NOUN
ap-7699	993	11	procedure	procedure	NOUN
ap-7699	993	12	of	of	ADP
ap-7699	993	13	the	the	DET
ap-7699	993	14	uv	uv	NOUN
ap-7699	993	15	-	-	PUNCT
ap-7699	993	16	divergent	divergent	ADJ
ap-7699	993	17	functional	functional	NOUN
ap-7699	993	18	of	of	ADP
ap-7699	993	19	the	the	DET
ap-7699	993	20	effective	effective	ADJ
ap-7699	993	21	action	action	NOUN
ap-7699	993	22	of	of	ADP
ap-7699	993	23	the	the	DET
ap-7699	993	24	theory	theory	NOUN
ap-7699	993	25	onto	onto	ADP
ap-7699	993	26	the	the	DET
ap-7699	993	27	sector	sector	NOUN
ap-7699	993	28	with	with	ADP
ap-7699	993	29	only	only	ADV
ap-7699	993	30	c2	c2	PROPN
ap-7699	993	31	terms	term	NOUN
ap-7699	993	32	will	will	AUX
ap-7699	993	33	result	result	VERB
ap-7699	993	34	here	here	ADV
ap-7699	993	35	in	in	ADP
ap-7699	993	36	giving	give	VERB
ap-7699	993	37	sense	sense	NOUN
ap-7699	993	38	to	to	ADP
ap-7699	993	39	pure	pure	ADJ
ap-7699	993	40	c2	c2	PROPN
ap-7699	993	41	divergences	divergence	NOUN
ap-7699	993	42	in	in	ADP
ap-7699	993	43	this	this	DET
ap-7699	993	44	limiting	limit	VERB
ap-7699	993	45	model	model	NOUN
ap-7699	993	46	.	.	PUNCT
ap-7699	994	1	(	(	PUNCT
ap-7699	994	2	here	here	ADV
ap-7699	994	3	we	we	PRON
ap-7699	994	4	may	may	AUX
ap-7699	994	5	try	try	VERB
ap-7699	994	6	to	to	PART
ap-7699	994	7	resort	resort	VERB
ap-7699	994	8	to	to	ADP
ap-7699	994	9	some	some	DET
ap-7699	994	10	projection	projection	NOUN
ap-7699	994	11	procedure	procedure	NOUN
ap-7699	994	12	for	for	ADP
ap-7699	994	13	the	the	DET
ap-7699	994	14	functional	functional	ADJ
ap-7699	994	15	with	with	ADP
ap-7699	994	16	uv	uv	NOUN
ap-7699	994	17	divergences	divergence	NOUN
ap-7699	994	18	since	since	SCONJ
ap-7699	994	19	in	in	ADP
ap-7699	994	20	these	these	DET
ap-7699	994	21	non	non	ADJ
ap-7699	994	22	-	-	ADJ
ap-7699	994	23	renormalizable	renormalizable	ADJ
ap-7699	994	24	models	model	NOUN
ap-7699	994	25	,	,	PUNCT
ap-7699	994	26	one	one	PRON
ap-7699	994	27	may	may	AUX
ap-7699	994	28	expect	expect	VERB
ap-7699	994	29	to	to	PART
ap-7699	994	30	find	find	VERB
ap-7699	994	31	more	more	ADJ
ap-7699	994	32	divergences	divergence	NOUN
ap-7699	994	33	than	than	ADP
ap-7699	994	34	just	just	ADV
ap-7699	994	35	of	of	ADP
ap-7699	994	36	the	the	DET
ap-7699	994	37	form	form	NOUN
ap-7699	994	38	of	of	ADP
ap-7699	994	39	c2	c2	PROPN
ap-7699	994	40	and	and	CCONJ
ap-7699	994	41	r2	r2	PROPN
ap-7699	994	42	as	as	SCONJ
ap-7699	994	43	presented	present	VERB
ap-7699	994	44	initially	initially	ADV
ap-7699	994	45	in	in	ADP
ap-7699	994	46	(	(	PUNCT
ap-7699	994	47	1	1	NUM
ap-7699	994	48	)	)	PUNCT
ap-7699	994	49	.	.	PUNCT
ap-7699	995	1	there	there	PRON
ap-7699	995	2	could	could	AUX
ap-7699	995	3	exist	exist	VERB
ap-7699	995	4	new	new	ADJ
ap-7699	995	5	uv	uv	NOUN
ap-7699	995	6	divergences	divergence	NOUN
ap-7699	995	7	,	,	PUNCT
ap-7699	995	8	which	which	PRON
ap-7699	995	9	contain	contain	VERB
ap-7699	995	10	even	even	ADV
ap-7699	995	11	more	more	ADJ
ap-7699	995	12	than	than	ADP
ap-7699	995	13	four	four	NUM
ap-7699	995	14	derivatives	derivative	NOUN
ap-7699	995	15	on	on	ADP
ap-7699	995	16	the	the	DET
ap-7699	995	17	background	background	NOUN
ap-7699	995	18	metric	metric	ADJ
ap-7699	995	19	tensor	tensor	NOUN
ap-7699	995	20	,	,	PUNCT
ap-7699	995	21	even	even	ADV
ap-7699	995	22	in	in	ADP
ap-7699	995	23	d	d	PROPN
ap-7699	995	24	=	=	SYM
ap-7699	995	25	4	4	NUM
ap-7699	995	26	case	case	NOUN
ap-7699	995	27	.	.	PUNCT
ap-7699	995	28	)	)	PUNCT
ap-7699	996	1	but	but	CCONJ
ap-7699	996	2	the	the	DET
ap-7699	996	3	final	final	ADJ
ap-7699	996	4	finite	finite	NOUN
ap-7699	996	5	value	value	NOUN
ap-7699	996	6	may	may	AUX
ap-7699	996	7	be	be	AUX
ap-7699	996	8	discontinuous	discontinuous	ADJ
ap-7699	996	9	and	and	CCONJ
ap-7699	996	10	may	may	AUX
ap-7699	996	11	not	not	PART
ap-7699	996	12	be	be	AUX
ap-7699	996	13	obtainable	obtainable	ADJ
ap-7699	996	14	by	by	ADP
ap-7699	996	15	the	the	DET
ap-7699	996	16	naive	naive	ADJ
ap-7699	996	17	limit	limit	NOUN
ap-7699	996	18	x	x	X
ap-7699	996	19	→	→	SYM
ap-7699	996	20	0	0	NUM
ap-7699	996	21	of	of	ADP
ap-7699	996	22	the	the	DET
ap-7699	996	23	expression	expression	NOUN
ap-7699	996	24	for	for	ADP
ap-7699	996	25	the	the	DET
ap-7699	996	26	divergent	divergent	ADJ
ap-7699	996	27	term	term	NOUN
ap-7699	996	28	in	in	ADP
ap-7699	996	29	the	the	DET
ap-7699	996	30	c2	c2	PROPN
ap-7699	996	31	sector	sector	NOUN
ap-7699	996	32	of	of	ADP
ap-7699	996	33	uv	uv	NOUN
ap-7699	996	34	divergences	divergence	NOUN
ap-7699	996	35	,	,	PUNCT
ap-7699	996	36	so	so	SCONJ
ap-7699	996	37	it	it	PRON
ap-7699	996	38	may	may	AUX
ap-7699	996	39	not	not	PART
ap-7699	996	40	be	be	AUX
ap-7699	996	41	just	just	ADV
ap-7699	996	42	b0	b0	VERB
ap-7699	996	43	there	there	ADV
ap-7699	996	44	.	.	PUNCT
ap-7699	997	1	this	this	DET
ap-7699	997	2	remark	remark	NOUN
ap-7699	997	3	about	about	ADP
ap-7699	997	4	possible	possible	ADJ
ap-7699	997	5	discontinuities	discontinuity	NOUN
ap-7699	997	6	may	may	AUX
ap-7699	997	7	apply	apply	VERB
ap-7699	997	8	also	also	ADV
ap-7699	997	9	to	to	ADP
ap-7699	997	10	coefficients	coefficient	NOUN
ap-7699	997	11	in	in	ADP
ap-7699	997	12	front	front	NOUN
ap-7699	997	13	of	of	ADP
ap-7699	997	14	divergent	divergent	ADJ
ap-7699	997	15	terms	term	NOUN
ap-7699	997	16	of	of	ADP
ap-7699	997	17	the	the	DET
ap-7699	997	18	type	type	NOUN
ap-7699	997	19	r2	r2	NOUN
ap-7699	997	20	and	and	CCONJ
ap-7699	997	21	gb	gb	NOUN
ap-7699	997	22	.	.	PUNCT
ap-7699	998	1	they	they	PRON
ap-7699	998	2	may	may	AUX
ap-7699	998	3	still	still	ADV
ap-7699	998	4	end	end	VERB
ap-7699	998	5	up	up	ADP
ap-7699	998	6	with	with	ADP
ap-7699	998	7	some	some	DET
ap-7699	998	8	finite	finite	ADJ
ap-7699	998	9	definite	definite	ADJ
ap-7699	998	10	values	value	NOUN
ap-7699	998	11	for	for	ADP
ap-7699	998	12	this	this	DET
ap-7699	998	13	model	model	NOUN
ap-7699	998	14	,	,	PUNCT
ap-7699	998	15	but	but	CCONJ
ap-7699	998	16	probably	probably	ADV
ap-7699	998	17	they	they	PRON
ap-7699	998	18	are	be	AUX
ap-7699	998	19	not	not	PART
ap-7699	998	20	the	the	DET
ap-7699	998	21	same	same	ADJ
ap-7699	998	22	as	as	ADP
ap-7699	998	23	the	the	DET
ap-7699	998	24	coefficients	coefficient	NOUN
ap-7699	998	25	b0	b0	NOUN
ap-7699	998	26	of	of	ADP
ap-7699	998	27	these	these	DET
ap-7699	998	28	terms	term	NOUN
ap-7699	998	29	from	from	ADP
ap-7699	998	30	(	(	PUNCT
ap-7699	998	31	51	51	NUM
ap-7699	998	32	)	)	PUNCT
ap-7699	998	33	,	,	PUNCT
ap-7699	998	34	so	so	SCONJ
ap-7699	998	35	we	we	PRON
ap-7699	998	36	probably	probably	ADV
ap-7699	998	37	will	will	AUX
ap-7699	998	38	be	be	AUX
ap-7699	998	39	able	able	ADJ
ap-7699	998	40	to	to	PART
ap-7699	998	41	see	see	VERB
ap-7699	998	42	here	here	ADV
ap-7699	998	43	another	another	DET
ap-7699	998	44	discontinuities	discontinuity	NOUN
ap-7699	998	45	in	in	ADP
ap-7699	998	46	taking	take	VERB
ap-7699	998	47	the	the	DET
ap-7699	998	48	naive	naive	ADJ
ap-7699	998	49	limit	limit	NOUN
ap-7699	998	50	x	x	X
ap-7699	999	1	→	→	SYM
ap-7699	999	2	0	0	NUM
ap-7699	999	3	.	.	PUNCT
ap-7699	1000	1	these	these	DET
ap-7699	1000	2	above	above	ADJ
ap-7699	1000	3	results	result	NOUN
ap-7699	1000	4	about	about	ADP
ap-7699	1000	5	discontinuities	discontinuity	NOUN
ap-7699	1000	6	and	and	CCONJ
ap-7699	1000	7	negative	negative	ADJ
ap-7699	1000	8	consequences	consequence	NOUN
ap-7699	1000	9	due	due	ADP
ap-7699	1000	10	to	to	ADP
ap-7699	1000	11	the	the	DET
ap-7699	1000	12	overall	overall	ADJ
ap-7699	1000	13	nonrenormalizability	nonrenormalizability	NOUN
ap-7699	1000	14	of	of	ADP
ap-7699	1000	15	the	the	DET
ap-7699	1000	16	two	two	NUM
ap-7699	1000	17	considered	consider	VERB
ap-7699	1000	18	above	above	ADP
ap-7699	1000	19	reduced	reduced	ADJ
ap-7699	1000	20	models	model	NOUN
ap-7699	1000	21	,	,	PUNCT
ap-7699	1000	22	are	be	AUX
ap-7699	1000	23	also	also	ADV
ap-7699	1000	24	enforced	enforce	VERB
ap-7699	1000	25	by	by	ADP
ap-7699	1000	26	the	the	DET
ap-7699	1000	27	analysis	analysis	NOUN
ap-7699	1000	28	of	of	ADP
ap-7699	1000	29	power	power	NOUN
ap-7699	1000	30	counting	counting	NOUN
ap-7699	1000	31	of	of	ADP
ap-7699	1000	32	uv	uv	NOUN
ap-7699	1000	33	divergences	divergence	NOUN
ap-7699	1000	34	.	.	PUNCT
ap-7699	1001	1	one	one	PRON
ap-7699	1001	2	can	can	AUX
ap-7699	1001	3	try	try	VERB
ap-7699	1001	4	to	to	PART
ap-7699	1001	5	perform	perform	VERB
ap-7699	1001	6	the	the	DET
ap-7699	1001	7	“	"	PUNCT
ap-7699	1001	8	worst	bad	ADJ
ap-7699	1001	9	case	case	NOUN
ap-7699	1001	10	scenario	scenario	NOUN
ap-7699	1001	11	”	"	PUNCT
ap-7699	1001	12	analysis	analysis	NOUN
ap-7699	1001	13	of	of	ADP
ap-7699	1001	14	one	one	NUM
ap-7699	1001	15	-	-	PUNCT
ap-7699	1001	16	loop	loop	NOUN
ap-7699	1001	17	integrals	integral	NOUN
ap-7699	1001	18	and	and	CCONJ
ap-7699	1001	19	the	the	DET
ap-7699	1001	20	results	result	NOUN
ap-7699	1001	21	show	show	VERB
ap-7699	1001	22	complete	complete	ADJ
ap-7699	1001	23	lack	lack	NOUN
ap-7699	1001	24	of	of	ADP
ap-7699	1001	25	control	control	NOUN
ap-7699	1001	26	over	over	ADP
ap-7699	1001	27	perturbative	perturbative	ADJ
ap-7699	1001	28	uv	uv	NOUN
ap-7699	1001	29	divergences	divergence	NOUN
ap-7699	1001	30	in	in	ADP
ap-7699	1001	31	such	such	ADJ
ap-7699	1001	32	reduced	reduce	VERB
ap-7699	1001	33	models	model	NOUN
ap-7699	1001	34	.	.	PUNCT
ap-7699	1002	1	this	this	PRON
ap-7699	1002	2	is	be	AUX
ap-7699	1002	3	even	even	ADV
ap-7699	1002	4	worse	bad	ADJ
ap-7699	1002	5	that	that	SCONJ
ap-7699	1002	6	in	in	ADP
ap-7699	1002	7	the	the	DET
ap-7699	1002	8	case	case	NOUN
ap-7699	1002	9	of	of	ADP
ap-7699	1002	10	offshell	offshell	PROPN
ap-7699	1002	11	e	e	NOUN
ap-7699	1002	12	-	-	NOUN
ap-7699	1002	13	h	h	ADJ
ap-7699	1002	14	gravity	gravity	NOUN
ap-7699	1002	15	considered	consider	VERB
ap-7699	1002	16	in	in	ADP
ap-7699	1002	17	d	d	PROPN
ap-7699	1002	18	=	=	SYM
ap-7699	1002	19	4	4	NUM
ap-7699	1002	20	dimensions	dimension	NOUN
ap-7699	1002	21	,	,	PUNCT
ap-7699	1002	22	which	which	PRON
ap-7699	1002	23	is	be	AUX
ap-7699	1002	24	known	know	VERB
ap-7699	1002	25	to	to	PART
ap-7699	1002	26	be	be	AUX
ap-7699	1002	27	one	one	NUM
ap-7699	1002	28	-	-	PUNCT
ap-7699	1002	29	loop	loop	NOUN
ap-7699	1002	30	off	off	ADP
ap-7699	1002	31	-	-	PUNCT
ap-7699	1002	32	shell	shell	NOUN
ap-7699	1002	33	perturbatively	perturbatively	ADV
ap-7699	1002	34	non	non	ADJ
ap-7699	1002	35	-	-	ADJ
ap-7699	1002	36	renormalizable	renormalizable	ADJ
ap-7699	1002	37	theory	theory	NOUN
ap-7699	1002	38	.	.	PUNCT
ap-7699	1003	1	in	in	ADP
ap-7699	1003	2	the	the	DET
ap-7699	1003	3	latter	latter	ADJ
ap-7699	1003	4	case	case	NOUN
ap-7699	1003	5	the	the	DET
ap-7699	1003	6	superficial	superficial	ADJ
ap-7699	1003	7	divergence	divergence	NOUN
ap-7699	1003	8	of	of	ADP
ap-7699	1003	9	the	the	DET
ap-7699	1003	10	divergence	divergence	NOUN
ap-7699	1003	11	∆	∆	PROPN
ap-7699	1003	12	is	be	AUX
ap-7699	1003	13	bounded	bound	VERB
ap-7699	1003	14	at	at	ADP
ap-7699	1003	15	the	the	DET
ap-7699	1003	16	one	one	NUM
ap-7699	1003	17	-	-	PUNCT
ap-7699	1003	18	loop	loop	NOUN
ap-7699	1003	19	level	level	NOUN
ap-7699	1003	20	(	(	PUNCT
ap-7699	1003	21	l	l	NOUN
ap-7699	1003	22	=	=	SYM
ap-7699	1003	23	1	1	X
ap-7699	1003	24	)	)	PUNCT
ap-7699	1003	25	in	in	ADP
ap-7699	1003	26	formula	formula	NOUN
ap-7699	1003	27	(	(	PUNCT
ap-7699	1003	28	4	4	NUM
ap-7699	1003	29	)	)	PUNCT
ap-7699	1003	30	by	by	ADP
ap-7699	1003	31	the	the	DET
ap-7699	1003	32	value	value	NOUN
ap-7699	1003	33	4	4	NUM
ap-7699	1003	34	.	.	PUNCT
ap-7699	1004	1	in	in	ADP
ap-7699	1004	2	general	general	ADJ
ap-7699	1004	3	,	,	PUNCT
ap-7699	1004	4	at	at	ADP
ap-7699	1004	5	the	the	DET
ap-7699	1004	6	arbitrary	arbitrary	ADJ
ap-7699	1004	7	loop	loop	NOUN
ap-7699	1004	8	order	order	NOUN
ap-7699	1004	9	we	we	PRON
ap-7699	1004	10	have	have	VERB
ap-7699	1004	11	the	the	DET
ap-7699	1004	12	formula	formula	NOUN
ap-7699	1004	13	for	for	ADP
ap-7699	1004	14	power	power	NOUN
ap-7699	1004	15	counting	counting	NOUN
ap-7699	1004	16	reads	read	NOUN
ap-7699	1004	17	then	then	ADV
ap-7699	1004	18	∆	∆	PROPN
ap-7699	1005	1	+	+	CCONJ
ap-7699	1006	1	d∂	d∂	NOUN
ap-7699	1006	2	=	=	SYM
ap-7699	1006	3	4	4	NUM
ap-7699	1006	4	+	+	NUM
ap-7699	1006	5	2(l	2(l	NUM
ap-7699	1006	6	−	−	NUM
ap-7699	1006	7	1	1	NUM
ap-7699	1006	8	)	)	PUNCT
ap-7699	1006	9	,	,	PUNCT
ap-7699	1006	10	(	(	PUNCT
ap-7699	1006	11	56	56	NUM
ap-7699	1006	12	)	)	PUNCT
ap-7699	1006	13	which	which	PRON
ap-7699	1006	14	if	if	SCONJ
ap-7699	1006	15	we	we	PRON
ap-7699	1006	16	concentrate	concentrate	VERB
ap-7699	1006	17	on	on	ADP
ap-7699	1006	18	logarithmic	logarithmic	ADJ
ap-7699	1006	19	uv	uv	NOUN
ap-7699	1006	20	divergences	divergence	NOUN
ap-7699	1006	21	only	only	ADV
ap-7699	1006	22	(	(	PUNCT
ap-7699	1006	23	with	with	ADP
ap-7699	1006	24	∆	∆	X
ap-7699	1006	25	=	=	SYM
ap-7699	1006	26	0	0	NUM
ap-7699	1006	27	)	)	PUNCT
ap-7699	1006	28	,	,	PUNCT
ap-7699	1006	29	we	we	PRON
ap-7699	1006	30	get	get	VERB
ap-7699	1006	31	that	that	PRON
ap-7699	1006	32	at	at	ADP
ap-7699	1006	33	the	the	DET
ap-7699	1006	34	one	one	NUM
ap-7699	1006	35	-	-	PUNCT
ap-7699	1006	36	loop	loop	NOUN
ap-7699	1006	37	level	level	NOUN
ap-7699	1006	38	for	for	ADP
ap-7699	1006	39	all	all	DET
ap-7699	1006	40	green	green	ADJ
ap-7699	1006	41	functions	function	NOUN
ap-7699	1006	42	we	we	PRON
ap-7699	1006	43	need	need	VERB
ap-7699	1006	44	counterterms	counterterm	NOUN
ap-7699	1006	45	with	with	ADP
ap-7699	1006	46	up	up	ADP
ap-7699	1006	47	to	to	ADP
ap-7699	1006	48	d∂	d∂	NOUN
ap-7699	1006	49	=	=	SYM
ap-7699	1006	50	4	4	NUM
ap-7699	1006	51	partial	partial	ADJ
ap-7699	1006	52	derivatives	derivative	NOUN
ap-7699	1006	53	on	on	ADP
ap-7699	1006	54	the	the	DET
ap-7699	1006	55	metric	metric	ADJ
ap-7699	1006	56	tensor	tensor	NOUN
ap-7699	1006	57	.	.	PUNCT
ap-7699	1007	1	at	at	ADP
ap-7699	1007	2	the	the	DET
ap-7699	1007	3	two	two	NUM
ap-7699	1007	4	-	-	PUNCT
ap-7699	1007	5	loop	loop	NOUN
ap-7699	1007	6	level	level	NOUN
ap-7699	1007	7	we	we	PRON
ap-7699	1007	8	instead	instead	ADV
ap-7699	1007	9	need	need	VERB
ap-7699	1007	10	to	to	PART
ap-7699	1007	11	absorb	absorb	VERB
ap-7699	1007	12	the	the	DET
ap-7699	1007	13	divergence	divergence	ADJ
ap-7699	1007	14	term	term	NOUN
ap-7699	1007	15	with	with	ADP
ap-7699	1007	16	d∂	d∂	NOUN
ap-7699	1007	17	=	=	SYM
ap-7699	1007	18	6	6	NUM
ap-7699	1007	19	partial	partial	ADJ
ap-7699	1007	20	derivatives	derivative	NOUN
ap-7699	1007	21	as	as	SCONJ
ap-7699	1007	22	this	this	PRON
ap-7699	1007	23	was	be	AUX
ap-7699	1007	24	famously	famously	ADV
ap-7699	1007	25	derived	derive	VERB
ap-7699	1007	26	by	by	ADP
ap-7699	1007	27	goroff	goroff	NOUN
ap-7699	1007	28	and	and	CCONJ
ap-7699	1007	29	sagnotti	sagnotti	VERB
ap-7699	1007	30	[	[	X
ap-7699	1007	31	17	17	NUM
ap-7699	1007	32	,	,	PUNCT
ap-7699	1007	33	18	18	NUM
ap-7699	1007	34	]	]	PUNCT
ap-7699	1007	35	.	.	PUNCT
ap-7699	1008	1	the	the	DET
ap-7699	1008	2	counterterm	counterterm	NOUN
ap-7699	1008	3	that	that	SCONJ
ap-7699	1008	4	they	they	PRON
ap-7699	1008	5	have	have	AUX
ap-7699	1008	6	found	find	VERB
ap-7699	1008	7	was	be	AUX
ap-7699	1008	8	of	of	ADP
ap-7699	1008	9	the	the	DET
ap-7699	1008	10	form	form	NOUN
ap-7699	1008	11	of	of	ADP
ap-7699	1008	12	the	the	DET
ap-7699	1008	13	c3	c3	PROPN
ap-7699	1008	14	gr	gr	PROPN
ap-7699	1008	15	-	-	PUNCT
ap-7699	1008	16	covariant	covariant	ADJ
ap-7699	1008	17	term	term	NOUN
ap-7699	1008	18	and	and	CCONJ
ap-7699	1008	19	its	its	PRON
ap-7699	1008	20	perturbative	perturbative	ADJ
ap-7699	1008	21	coefficient	coefficient	NOUN
ap-7699	1008	22	at	at	ADP
ap-7699	1008	23	the	the	DET
ap-7699	1008	24	two	two	NUM
ap-7699	1008	25	-	-	PUNCT
ap-7699	1008	26	loop	loop	NOUN
ap-7699	1008	27	order	order	NOUN
ap-7699	1008	28	does	do	AUX
ap-7699	1008	29	not	not	PART
ap-7699	1008	30	vanish	vanish	VERB
ap-7699	1008	31	,	,	PUNCT
ap-7699	1008	32	and	and	CCONJ
ap-7699	1008	33	this	this	PRON
ap-7699	1008	34	implies	imply	VERB
ap-7699	1008	35	that	that	SCONJ
ap-7699	1008	36	the	the	DET
ap-7699	1008	37	whole	whole	ADJ
ap-7699	1008	38	uv	uv	NOUN
ap-7699	1008	39	-	-	PUNCT
ap-7699	1008	40	divergent	divergent	ADJ
ap-7699	1008	41	term	term	NOUN
ap-7699	1008	42	does	do	AUX
ap-7699	1008	43	not	not	PART
ap-7699	1008	44	vanish	vanish	VERB
ap-7699	1008	45	even	even	ADV
ap-7699	1008	46	in	in	ADP
ap-7699	1008	47	the	the	DET
ap-7699	1008	48	on	on	ADP
ap-7699	1008	49	-	-	PUNCT
ap-7699	1008	50	shell	shell	NOUN
ap-7699	1008	51	situation	situation	NOUN
ap-7699	1008	52	.	.	PUNCT
ap-7699	1009	1	but	but	CCONJ
ap-7699	1009	2	still	still	ADV
ap-7699	1009	3	we	we	PRON
ap-7699	1009	4	know	know	VERB
ap-7699	1009	5	which	which	PRON
ap-7699	1009	6	counterterms	counterterm	VERB
ap-7699	1009	7	to	to	PART
ap-7699	1009	8	expect	expect	VERB
ap-7699	1009	9	at	at	ADP
ap-7699	1009	10	the	the	DET
ap-7699	1009	11	given	give	VERB
ap-7699	1009	12	loop	loop	NOUN
ap-7699	1009	13	order	order	NOUN
ap-7699	1009	14	and	and	CCONJ
ap-7699	1009	15	the	the	DET
ap-7699	1009	16	absorption	absorption	NOUN
ap-7699	1009	17	of	of	ADP
ap-7699	1009	18	uv	uv	NOUN
ap-7699	1009	19	divergences	divergence	NOUN
ap-7699	1009	20	works	work	VERB
ap-7699	1009	21	for	for	ADP
ap-7699	1009	22	all	all	DET
ap-7699	1009	23	divergent	divergent	ADJ
ap-7699	1009	24	green	green	ADJ
ap-7699	1009	25	functions	function	NOUN
ap-7699	1009	26	of	of	ADP
ap-7699	1009	27	the	the	DET
ap-7699	1009	28	qg	qg	PROPN
ap-7699	1009	29	model	model	NOUN
ap-7699	1009	30	.	.	PUNCT
ap-7699	1010	1	the	the	DET
ap-7699	1010	2	situation	situation	NOUN
ap-7699	1010	3	in	in	ADP
ap-7699	1010	4	the	the	DET
ap-7699	1010	5	reduced	reduce	VERB
ap-7699	1010	6	models	model	NOUN
ap-7699	1010	7	of	of	ADP
ap-7699	1010	8	the	the	DET
ap-7699	1010	9	type	type	NOUN
ap-7699	1010	10	c	c	NOUN
ap-7699	1010	11	□	□	NOUN
ap-7699	1010	12	c	c	NOUN
ap-7699	1010	13	or	or	CCONJ
ap-7699	1010	14	r	r	NOUN
ap-7699	1010	15	□	□	NOUN
ap-7699	1010	16	r	r	NOUN
ap-7699	1010	17	in	in	ADP
ap-7699	1010	18	the	the	DET
ap-7699	1010	19	leading	lead	VERB
ap-7699	1010	20	uv	uv	NOUN
ap-7699	1010	21	terms	term	NOUN
ap-7699	1010	22	is	be	AUX
ap-7699	1010	23	much	much	ADV
ap-7699	1010	24	worse	bad	ADJ
ap-7699	1010	25	even	even	ADV
ap-7699	1010	26	at	at	ADP
ap-7699	1010	27	the	the	DET
ap-7699	1010	28	one	one	NUM
ap-7699	1010	29	-	-	PUNCT
ap-7699	1010	30	loop	loop	NOUN
ap-7699	1010	31	level	level	NOUN
ap-7699	1010	32	from	from	ADP
ap-7699	1010	33	naive	naive	ADJ
ap-7699	1010	34	power	power	NOUN
ap-7699	1010	35	counting	counting	NOUN
ap-7699	1010	36	there	there	ADV
ap-7699	1010	37	.	.	PUNCT
ap-7699	1011	1	one	one	PRON
ap-7699	1011	2	sees	see	VERB
ap-7699	1011	3	that	that	SCONJ
ap-7699	1011	4	different	different	ADJ
ap-7699	1011	5	gr	gr	NOUN
ap-7699	1011	6	-	-	PUNCT
ap-7699	1011	7	covariant	covariant	ADJ
ap-7699	1011	8	counterterms	counterterm	NOUN
ap-7699	1011	9	are	be	AUX
ap-7699	1011	10	needed	need	VERB
ap-7699	1011	11	to	to	PART
ap-7699	1011	12	absorb	absorb	VERB
ap-7699	1011	13	divergences	divergence	NOUN
ap-7699	1011	14	in	in	ADP
ap-7699	1011	15	different	different	ADJ
ap-7699	1011	16	divergent	divergent	ADJ
ap-7699	1011	17	green	green	ADJ
ap-7699	1011	18	functions	function	NOUN
ap-7699	1011	19	of	of	ADP
ap-7699	1011	20	the	the	DET
ap-7699	1011	21	quantum	quantum	NOUN
ap-7699	1011	22	model	model	NOUN
ap-7699	1011	23	at	at	ADP
ap-7699	1011	24	the	the	DET
ap-7699	1011	25	one	one	NUM
ap-7699	1011	26	-	-	PUNCT
ap-7699	1011	27	loop	loop	NOUN
ap-7699	1011	28	level	level	NOUN
ap-7699	1011	29	,	,	PUNCT
ap-7699	1011	30	so	so	CCONJ
ap-7699	1011	31	the	the	DET
ap-7699	1011	32	counting	counting	NOUN
ap-7699	1011	33	does	do	AUX
ap-7699	1011	34	not	not	PART
ap-7699	1011	35	stop	stop	VERB
ap-7699	1011	36	at	at	ADP
ap-7699	1011	37	the	the	DET
ap-7699	1011	38	two	two	NUM
ap-7699	1011	39	-	-	PUNCT
ap-7699	1011	40	point	point	NOUN
ap-7699	1011	41	function	function	NOUN
ap-7699	1011	42	level	level	NOUN
ap-7699	1011	43	.	.	PUNCT
ap-7699	1012	1	we	we	PRON
ap-7699	1012	2	think	think	VERB
ap-7699	1012	3	that	that	SCONJ
ap-7699	1012	4	despite	despite	SCONJ
ap-7699	1012	5	these	these	DET
ap-7699	1012	6	tremendous	tremendous	ADJ
ap-7699	1012	7	difficulties	difficulty	NOUN
ap-7699	1012	8	,	,	PUNCT
ap-7699	1012	9	one	one	PRON
ap-7699	1012	10	still	still	ADV
ap-7699	1012	11	can	can	AUX
ap-7699	1012	12	compute	compute	VERB
ap-7699	1012	13	the	the	DET
ap-7699	1012	14	divergent	divergent	ADJ
ap-7699	1012	15	parts	part	NOUN
ap-7699	1012	16	of	of	ADP
ap-7699	1012	17	the	the	DET
ap-7699	1012	18	effective	effective	ADJ
ap-7699	1012	19	action	action	NOUN
ap-7699	1012	20	and	and	CCONJ
ap-7699	1012	21	the	the	DET
ap-7699	1012	22	actual	actual	ADJ
ap-7699	1012	23	computations	computation	NOUN
ap-7699	1012	24	are	be	AUX
ap-7699	1012	25	very	very	ADV
ap-7699	1012	26	tedious	tedious	ADJ
ap-7699	1012	27	and	and	CCONJ
ap-7699	1012	28	still	still	ADV
ap-7699	1012	29	possible	possible	ADJ
ap-7699	1012	30	.	.	PUNCT
ap-7699	1013	1	this	this	PRON
ap-7699	1013	2	is	be	AUX
ap-7699	1013	3	provided	provide	VERB
ap-7699	1013	4	that	that	SCONJ
ap-7699	1013	5	one	one	NOUN
ap-7699	1013	6	can	can	AUX
ap-7699	1013	7	invert	invert	VERB
ap-7699	1013	8	the	the	DET
ap-7699	1013	9	propagator	propagator	NOUN
ap-7699	1013	10	,	,	PUNCT
ap-7699	1013	11	so	so	SCONJ
ap-7699	1013	12	one	one	PRON
ap-7699	1013	13	has	have	VERB
ap-7699	1013	14	some	some	DET
ap-7699	1013	15	non	non	ADJ
ap-7699	1013	16	-	-	ADJ
ap-7699	1013	17	vanishing	vanishing	ADJ
ap-7699	1013	18	parts	part	NOUN
ap-7699	1013	19	in	in	ADP
ap-7699	1013	20	both	both	DET
ap-7699	1013	21	gauge	gauge	ADJ
ap-7699	1013	22	-	-	PUNCT
ap-7699	1013	23	invariant	invariant	ADJ
ap-7699	1013	24	parts	part	NOUN
ap-7699	1013	25	of	of	ADP
ap-7699	1013	26	it	it	PRON
ap-7699	1013	27	with	with	ADP
ap-7699	1013	28	the	the	DET
ap-7699	1013	29	spin-0	spin-0	NUM
ap-7699	1013	30	and	and	CCONJ
ap-7699	1013	31	spin-2	spin-2	NUM
ap-7699	1013	32	projectors	projector	NOUN
ap-7699	1013	33	.	.	PUNCT
ap-7699	1014	1	so	so	ADV
ap-7699	1014	2	,	,	PUNCT
ap-7699	1014	3	145	145	NUM
ap-7699	1014	4	lesław	lesław	PROPN
ap-7699	1014	5	rachwał	rachwał	PROPN
ap-7699	1014	6	acta	acta	PROPN
ap-7699	1014	7	polytechnica	polytechnica	PROPN
ap-7699	1014	8	it	it	PRON
ap-7699	1014	9	is	be	AUX
ap-7699	1014	10	at	at	ADP
ap-7699	1014	11	present	present	ADJ
ap-7699	1014	12	practically	practically	ADV
ap-7699	1014	13	impossible	impossible	ADJ
ap-7699	1014	14	to	to	PART
ap-7699	1014	15	do	do	VERB
ap-7699	1014	16	computation	computation	NOUN
ap-7699	1014	17	in	in	ADP
ap-7699	1014	18	the	the	DET
ap-7699	1014	19	pure	pure	ADJ
ap-7699	1014	20	models	model	NOUN
ap-7699	1014	21	c	c	X
ap-7699	1014	22	□	□	SYM
ap-7699	1014	23	c	c	NOUN
ap-7699	1014	24	or	or	CCONJ
ap-7699	1014	25	r	r	NOUN
ap-7699	1014	26	□	□	NOUN
ap-7699	1014	27	r	r	NOUN
ap-7699	1014	28	only	only	ADV
ap-7699	1014	29	.	.	PUNCT
ap-7699	1015	1	we	we	PRON
ap-7699	1015	2	know	know	VERB
ap-7699	1015	3	that	that	SCONJ
ap-7699	1015	4	they	they	PRON
ap-7699	1015	5	give	give	VERB
ap-7699	1015	6	contributions	contribution	NOUN
ap-7699	1015	7	in	in	ADP
ap-7699	1015	8	momentum	momentum	NOUN
ap-7699	1015	9	space	space	NOUN
ap-7699	1015	10	proportional	proportional	NOUN
ap-7699	1015	11	to	to	ADP
ap-7699	1015	12	k6	k6	PROPN
ap-7699	1015	13	in	in	ADP
ap-7699	1015	14	the	the	DET
ap-7699	1015	15	spin-2	spin-2	PROPN
ap-7699	1015	16	and	and	CCONJ
ap-7699	1015	17	spin-0	spin-0	NUM
ap-7699	1015	18	parts	part	NOUN
ap-7699	1015	19	of	of	ADP
ap-7699	1015	20	the	the	DET
ap-7699	1015	21	propagator	propagator	NOUN
ap-7699	1015	22	respectively	respectively	ADV
ap-7699	1015	23	,	,	PUNCT
ap-7699	1015	24	while	while	SCONJ
ap-7699	1015	25	other	other	ADJ
ap-7699	1015	26	parts	part	NOUN
ap-7699	1015	27	are	be	AUX
ap-7699	1015	28	not	not	PART
ap-7699	1015	29	touched	touch	VERB
ap-7699	1015	30	.	.	PUNCT
ap-7699	1016	1	in	in	ADP
ap-7699	1016	2	order	order	NOUN
ap-7699	1016	3	to	to	PART
ap-7699	1016	4	regularize	regularize	VERB
ap-7699	1016	5	the	the	DET
ap-7699	1016	6	theory	theory	NOUN
ap-7699	1016	7	and	and	CCONJ
ap-7699	1016	8	to	to	PART
ap-7699	1016	9	give	give	VERB
ap-7699	1016	10	sense	sense	NOUN
ap-7699	1016	11	to	to	ADP
ap-7699	1016	12	the	the	DET
ap-7699	1016	13	perturbative	perturbative	ADJ
ap-7699	1016	14	propagator	propagator	NOUN
ap-7699	1016	15	around	around	ADP
ap-7699	1016	16	flat	flat	ADJ
ap-7699	1016	17	spacetime	spacetime	NOUN
ap-7699	1016	18	,	,	PUNCT
ap-7699	1016	19	one	one	PRON
ap-7699	1016	20	has	have	VERB
ap-7699	1016	21	to	to	PART
ap-7699	1016	22	add	add	VERB
ap-7699	1016	23	the	the	DET
ap-7699	1016	24	regulator	regulator	NOUN
ap-7699	1016	25	terms	term	NOUN
ap-7699	1016	26	as	as	SCONJ
ap-7699	1016	27	this	this	PRON
ap-7699	1016	28	was	be	AUX
ap-7699	1016	29	mentioned	mention	VERB
ap-7699	1016	30	above	above	ADV
ap-7699	1016	31	.	.	PUNCT
ap-7699	1017	1	let	let	VERB
ap-7699	1017	2	us	we	PRON
ap-7699	1017	3	assume	assume	VERB
ap-7699	1017	4	that	that	SCONJ
ap-7699	1017	5	they	they	PRON
ap-7699	1017	6	give	give	VERB
ap-7699	1017	7	contributions	contribution	NOUN
ap-7699	1017	8	to	to	ADP
ap-7699	1017	9	the	the	DET
ap-7699	1017	10	other	other	ADJ
ap-7699	1017	11	sector	sector	NOUN
ap-7699	1017	12	of	of	ADP
ap-7699	1017	13	the	the	DET
ap-7699	1017	14	spin	spin	NOUN
ap-7699	1017	15	projectors	projector	NOUN
ap-7699	1017	16	in	in	ADP
ap-7699	1017	17	the	the	DET
ap-7699	1017	18	graviton	graviton	NOUN
ap-7699	1017	19	’s	’s	PART
ap-7699	1017	20	propagator	propagator	NOUN
ap-7699	1017	21	of	of	ADP
ap-7699	1017	22	the	the	DET
ap-7699	1017	23	form	form	NOUN
ap-7699	1017	24	k−m	k−m	NOUN
ap-7699	1017	25	,	,	PUNCT
ap-7699	1017	26	where	where	SCONJ
ap-7699	1017	27	m	m	NOUN
ap-7699	1017	28	is	be	AUX
ap-7699	1017	29	some	some	DET
ap-7699	1017	30	integer	integer	NOUN
ap-7699	1017	31	and	and	CCONJ
ap-7699	1017	32	m	m	VERB
ap-7699	1017	33	<	<	X
ap-7699	1017	34	6	6	NUM
ap-7699	1017	35	,	,	PUNCT
ap-7699	1017	36	they	they	PRON
ap-7699	1017	37	may	may	AUX
ap-7699	1017	38	likely	likely	ADV
ap-7699	1017	39	also	also	ADV
ap-7699	1017	40	give	give	VERB
ap-7699	1017	41	additional	additional	ADJ
ap-7699	1017	42	subleading	subleading	ADJ
ap-7699	1017	43	contributions	contribution	NOUN
ap-7699	1017	44	to	to	ADP
ap-7699	1017	45	the	the	DET
ap-7699	1017	46	main	main	ADJ
ap-7699	1017	47	respective	respective	ADJ
ap-7699	1017	48	part	part	NOUN
ap-7699	1017	49	of	of	ADP
ap-7699	1017	50	the	the	DET
ap-7699	1017	51	propagator	propagator	NOUN
ap-7699	1017	52	which	which	PRON
ap-7699	1017	53	was	be	AUX
ap-7699	1017	54	there	there	ADV
ap-7699	1017	55	with	with	ADP
ap-7699	1017	56	six	six	NUM
ap-7699	1017	57	derivatives	derivative	NOUN
ap-7699	1017	58	in	in	ADP
ap-7699	1017	59	the	the	DET
ap-7699	1017	60	uv	uv	NOUN
ap-7699	1017	61	regime	regime	NOUN
ap-7699	1017	62	correspondingly	correspondingly	ADV
ap-7699	1017	63	to	to	ADP
ap-7699	1017	64	the	the	DET
ap-7699	1017	65	spin-2	spin-2	NUM
ap-7699	1017	66	sector	sector	NOUN
ap-7699	1017	67	in	in	ADP
ap-7699	1017	68	c	c	NOUN
ap-7699	1017	69	□	□	PROPN
ap-7699	1017	70	c	c	NOUN
ap-7699	1017	71	theory	theory	NOUN
ap-7699	1017	72	and	and	CCONJ
ap-7699	1017	73	to	to	ADP
ap-7699	1017	74	the	the	DET
ap-7699	1017	75	spin-0	spin-0	NUM
ap-7699	1017	76	sector	sector	NOUN
ap-7699	1017	77	in	in	ADP
ap-7699	1017	78	r	r	NOUN
ap-7699	1017	79	□	□	PUNCT
ap-7699	1017	80	r	r	NOUN
ap-7699	1017	81	model	model	NOUN
ap-7699	1017	82	.	.	PUNCT
ap-7699	1018	1	the	the	DET
ap-7699	1018	2	values	value	NOUN
ap-7699	1018	3	of	of	ADP
ap-7699	1018	4	m	m	NOUN
ap-7699	1018	5	are	be	AUX
ap-7699	1018	6	respectively	respectively	ADV
ap-7699	1018	7	:	:	PUNCT
ap-7699	1018	8	m	m	VERB
ap-7699	1018	9	=	=	SYM
ap-7699	1018	10	0	0	NUM
ap-7699	1018	11	for	for	ADP
ap-7699	1018	12	the	the	DET
ap-7699	1018	13	cosmological	cosmological	ADJ
ap-7699	1018	14	constant	constant	ADJ
ap-7699	1018	15	addition	addition	NOUN
ap-7699	1018	16	(	(	PUNCT
ap-7699	1018	17	it	it	PRON
ap-7699	1018	18	still	still	ADV
ap-7699	1018	19	regularizes	regularize	VERB
ap-7699	1018	20	the	the	DET
ap-7699	1018	21	propagator	propagator	NOUN
ap-7699	1018	22	but	but	CCONJ
ap-7699	1018	23	very	very	ADV
ap-7699	1018	24	,	,	PUNCT
ap-7699	1018	25	very	very	ADV
ap-7699	1018	26	weakly	weakly	ADV
ap-7699	1018	27	)	)	PUNCT
ap-7699	1018	28	,	,	PUNCT
ap-7699	1018	29	m	m	VERB
ap-7699	1018	30	=	=	NOUN
ap-7699	1018	31	2	2	NUM
ap-7699	1018	32	when	when	SCONJ
ap-7699	1018	33	e	e	X
ap-7699	1018	34	-	-	NOUN
ap-7699	1018	35	h	h	ADJ
ap-7699	1018	36	term	term	NOUN
ap-7699	1018	37	is	be	AUX
ap-7699	1018	38	added	add	VERB
ap-7699	1018	39	(	(	PUNCT
ap-7699	1018	40	it	it	PRON
ap-7699	1018	41	contributes	contribute	VERB
ap-7699	1018	42	both	both	PRON
ap-7699	1018	43	to	to	ADP
ap-7699	1018	44	the	the	DET
ap-7699	1018	45	spin-0	spin-0	NUM
ap-7699	1018	46	and	and	CCONJ
ap-7699	1018	47	spin-2	spin-2	NUM
ap-7699	1018	48	parts	part	NOUN
ap-7699	1018	49	)	)	PUNCT
ap-7699	1018	50	,	,	PUNCT
ap-7699	1018	51	m	m	VERB
ap-7699	1018	52	=	=	NOUN
ap-7699	1018	53	4	4	NUM
ap-7699	1018	54	when	when	SCONJ
ap-7699	1018	55	either	either	CCONJ
ap-7699	1018	56	r2	r2	PROPN
ap-7699	1018	57	or	or	CCONJ
ap-7699	1018	58	c2	c2	PROPN
ap-7699	1018	59	terms	term	NOUN
ap-7699	1018	60	are	be	AUX
ap-7699	1018	61	added	add	VERB
ap-7699	1018	62	(	(	PUNCT
ap-7699	1018	63	they	they	PRON
ap-7699	1018	64	contribute	contribute	VERB
ap-7699	1018	65	exclusively	exclusively	ADV
ap-7699	1018	66	in	in	ADP
ap-7699	1018	67	their	their	PRON
ap-7699	1018	68	respective	respective	ADJ
ap-7699	1018	69	sectors	sector	NOUN
ap-7699	1018	70	)	)	PUNCT
ap-7699	1018	71	.	.	PUNCT
ap-7699	1019	1	since	since	SCONJ
ap-7699	1019	2	now	now	ADV
ap-7699	1019	3	after	after	ADP
ap-7699	1019	4	the	the	DET
ap-7699	1019	5	regularization	regularization	NOUN
ap-7699	1019	6	of	of	ADP
ap-7699	1019	7	the	the	DET
ap-7699	1019	8	graviton	graviton	NOUN
ap-7699	1019	9	’s	’s	PART
ap-7699	1019	10	propagator	propagator	NOUN
ap-7699	1019	11	,	,	PUNCT
ap-7699	1019	12	its	its	PRON
ap-7699	1019	13	behaviour	behaviour	NOUN
ap-7699	1019	14	is	be	AUX
ap-7699	1019	15	still	still	ADV
ap-7699	1019	16	very	very	ADV
ap-7699	1019	17	unbalanced	unbalanced	ADJ
ap-7699	1019	18	in	in	ADP
ap-7699	1019	19	the	the	DET
ap-7699	1019	20	uv	uv	NOUN
ap-7699	1019	21	regime	regime	NOUN
ap-7699	1019	22	between	between	ADP
ap-7699	1019	23	different	different	ADJ
ap-7699	1019	24	components	component	NOUN
ap-7699	1019	25	,	,	PUNCT
ap-7699	1019	26	then	then	ADV
ap-7699	1019	27	one	one	PRON
ap-7699	1019	28	sees	see	VERB
ap-7699	1019	29	the	the	DET
ap-7699	1019	30	following	follow	VERB
ap-7699	1019	31	results	result	NOUN
ap-7699	1019	32	of	of	ADP
ap-7699	1019	33	the	the	DET
ap-7699	1019	34	analysis	analysis	NOUN
ap-7699	1019	35	of	of	ADP
ap-7699	1019	36	uv	uv	NOUN
ap-7699	1019	37	divergences	divergence	NOUN
ap-7699	1019	38	at	at	ADP
ap-7699	1019	39	the	the	DET
ap-7699	1019	40	one	one	NUM
ap-7699	1019	41	-	-	PUNCT
ap-7699	1019	42	loop	loop	NOUN
ap-7699	1019	43	order	order	NOUN
ap-7699	1019	44	.	.	PUNCT
ap-7699	1020	1	first	first	ADV
ap-7699	1020	2	,	,	PUNCT
ap-7699	1020	3	the	the	DET
ap-7699	1020	4	general	general	ADJ
ap-7699	1020	5	gravitational	gravitational	ADJ
ap-7699	1020	6	vertex	vertex	NOUN
ap-7699	1020	7	is	be	AUX
ap-7699	1020	8	still	still	ADV
ap-7699	1020	9	with	with	ADP
ap-7699	1020	10	six	six	NUM
ap-7699	1020	11	derivatives	derivative	NOUN
ap-7699	1020	12	,	,	PUNCT
ap-7699	1020	13	while	while	SCONJ
ap-7699	1020	14	the	the	DET
ap-7699	1020	15	propagator	propagator	NOUN
ap-7699	1020	16	is	be	AUX
ap-7699	1020	17	k−6	k−6	PROPN
ap-7699	1020	18	in	in	ADP
ap-7699	1020	19	the	the	DET
ap-7699	1020	20	best	good	ADJ
ap-7699	1020	21	(	(	PUNCT
ap-7699	1020	22	most	most	ADV
ap-7699	1020	23	suppressed	suppressed	ADJ
ap-7699	1020	24	)	)	PUNCT
ap-7699	1020	25	behaviour	behaviour	NOUN
ap-7699	1020	26	and	and	CCONJ
ap-7699	1020	27	k−m	k−m	NOUN
ap-7699	1020	28	is	be	AUX
ap-7699	1020	29	the	the	DET
ap-7699	1020	30	worst	bad	ADJ
ap-7699	1020	31	behaviour	behaviour	NOUN
ap-7699	1020	32	in	in	ADP
ap-7699	1020	33	the	the	DET
ap-7699	1020	34	other	other	ADJ
ap-7699	1020	35	components	component	NOUN
ap-7699	1020	36	.	.	PUNCT
ap-7699	1021	1	for	for	ADP
ap-7699	1021	2	the	the	DET
ap-7699	1021	3	most	most	ADV
ap-7699	1021	4	dangerous	dangerous	ADJ
ap-7699	1021	5	situation	situation	NOUN
ap-7699	1021	6	we	we	PRON
ap-7699	1021	7	have	have	VERB
ap-7699	1021	8	to	to	PART
ap-7699	1021	9	assume	assume	VERB
ap-7699	1021	10	that	that	SCONJ
ap-7699	1021	11	the	the	DET
ap-7699	1021	12	overall	overall	ADJ
ap-7699	1021	13	behaviour	behaviour	NOUN
ap-7699	1021	14	of	of	ADP
ap-7699	1021	15	the	the	DET
ap-7699	1021	16	propagator	propagator	NOUN
ap-7699	1021	17	is	be	AUX
ap-7699	1021	18	in	in	ADP
ap-7699	1021	19	the	the	DET
ap-7699	1021	20	worst	bad	ADJ
ap-7699	1021	21	case	case	NOUN
ap-7699	1021	22	,	,	PUNCT
ap-7699	1021	23	so	so	ADV
ap-7699	1021	24	with	with	ADP
ap-7699	1021	25	the	the	DET
ap-7699	1021	26	uv	uv	NOUN
ap-7699	1021	27	scaling	scaling	NOUN
ap-7699	1021	28	of	of	ADP
ap-7699	1021	29	the	the	DET
ap-7699	1021	30	form	form	NOUN
ap-7699	1021	31	k−m	k−m	NOUN
ap-7699	1021	32	.	.	PUNCT
ap-7699	1022	1	then	then	ADV
ap-7699	1022	2	the	the	DET
ap-7699	1022	3	relation	relation	NOUN
ap-7699	1022	4	between	between	ADP
ap-7699	1022	5	the	the	DET
ap-7699	1022	6	number	number	NOUN
ap-7699	1022	7	of	of	ADP
ap-7699	1022	8	derivatives	derivative	NOUN
ap-7699	1022	9	in	in	ADP
ap-7699	1022	10	a	a	DET
ap-7699	1022	11	general	general	ADJ
ap-7699	1022	12	gravitational	gravitational	ADJ
ap-7699	1022	13	vertex	vertex	NOUN
ap-7699	1022	14	and	and	CCONJ
ap-7699	1022	15	in	in	ADP
ap-7699	1022	16	the	the	DET
ap-7699	1022	17	propagator	propagator	NOUN
ap-7699	1022	18	is	be	AUX
ap-7699	1022	19	broken	break	VERB
ap-7699	1022	20	and	and	CCONJ
ap-7699	1022	21	this	this	PRON
ap-7699	1022	22	is	be	AUX
ap-7699	1022	23	a	a	DET
ap-7699	1022	24	reason	reason	NOUN
ap-7699	1022	25	for	for	ADP
ap-7699	1022	26	very	very	ADV
ap-7699	1022	27	bad	bad	ADJ
ap-7699	1022	28	behaviour	behaviour	NOUN
ap-7699	1022	29	with	with	ADP
ap-7699	1022	30	uv	uv	NOUN
ap-7699	1022	31	divergences	divergence	NOUN
ap-7699	1022	32	here	here	ADV
ap-7699	1022	33	.	.	PUNCT
ap-7699	1023	1	such	such	ADJ
ap-7699	1023	2	relation	relation	NOUN
ap-7699	1023	3	is	be	AUX
ap-7699	1023	4	typically	typically	ADV
ap-7699	1023	5	present	present	ADJ
ap-7699	1023	6	even	even	ADV
ap-7699	1023	7	in	in	ADP
ap-7699	1023	8	non	non	ADJ
ap-7699	1023	9	-	-	ADJ
ap-7699	1023	10	renormalizable	renormalizable	ADJ
ap-7699	1023	11	models	model	NOUN
ap-7699	1023	12	,	,	PUNCT
ap-7699	1023	13	like	like	ADP
ap-7699	1023	14	in	in	ADP
ap-7699	1023	15	e	e	NOUN
ap-7699	1023	16	-	-	NOUN
ap-7699	1023	17	h	h	ADJ
ap-7699	1023	18	gravity	gravity	NOUN
ap-7699	1023	19	.	.	PUNCT
ap-7699	1024	1	the	the	DET
ap-7699	1024	2	lack	lack	NOUN
ap-7699	1024	3	of	of	ADP
ap-7699	1024	4	this	this	DET
ap-7699	1024	5	relation	relation	NOUN
ap-7699	1024	6	means	mean	VERB
ap-7699	1024	7	that	that	SCONJ
ap-7699	1024	8	now	now	ADV
ap-7699	1024	9	the	the	DET
ap-7699	1024	10	result	result	NOUN
ap-7699	1024	11	for	for	ADP
ap-7699	1024	12	d∂	d∂	NOUN
ap-7699	1024	13	of	of	ADP
ap-7699	1024	14	any	any	DET
ap-7699	1024	15	feynman	feynman	NOUN
ap-7699	1024	16	graph	graph	NOUN
ap-7699	1024	17	g	g	PROPN
ap-7699	1024	18	depends	depend	VERB
ap-7699	1024	19	on	on	ADP
ap-7699	1024	20	the	the	DET
ap-7699	1024	21	number	number	NOUN
ap-7699	1024	22	of	of	ADP
ap-7699	1024	23	external	external	ADJ
ap-7699	1024	24	graviton	graviton	NOUN
ap-7699	1024	25	lines	line	NOUN
ap-7699	1024	26	ng	ng	PROPN
ap-7699	1024	27	emanating	emanate	VERB
ap-7699	1024	28	from	from	ADP
ap-7699	1024	29	the	the	DET
ap-7699	1024	30	one	one	NUM
ap-7699	1024	31	-	-	PUNCT
ap-7699	1024	32	loop	loop	NOUN
ap-7699	1024	33	diagram	diagram	NOUN
ap-7699	1024	34	.	.	PUNCT
ap-7699	1025	1	previously	previously	ADV
ap-7699	1025	2	in	in	ADP
ap-7699	1025	3	the	the	DET
ap-7699	1025	4	analysis	analysis	NOUN
ap-7699	1025	5	of	of	ADP
ap-7699	1025	6	power	power	NOUN
ap-7699	1025	7	counting	counting	NOUN
ap-7699	1025	8	there	there	PRON
ap-7699	1025	9	was	be	VERB
ap-7699	1025	10	never	never	ADV
ap-7699	1025	11	any	any	DET
ap-7699	1025	12	dependence	dependence	NOUN
ap-7699	1025	13	on	on	ADP
ap-7699	1025	14	this	this	DET
ap-7699	1025	15	ng	ng	PROPN
ap-7699	1025	16	parameter	parameter	NOUN
ap-7699	1025	17	.	.	PUNCT
ap-7699	1026	1	this	this	PRON
ap-7699	1026	2	is	be	AUX
ap-7699	1026	3	a	a	DET
ap-7699	1026	4	source	source	NOUN
ap-7699	1026	5	for	for	ADP
ap-7699	1026	6	problems	problem	NOUN
ap-7699	1026	7	even	even	ADV
ap-7699	1026	8	bigger	big	ADJ
ap-7699	1026	9	when	when	SCONJ
ap-7699	1026	10	one	one	NUM
ap-7699	1026	11	increases	increase	VERB
ap-7699	1026	12	ng	ng	PROPN
ap-7699	1026	13	.	.	PROPN
ap-7699	1027	1	for	for	ADP
ap-7699	1027	2	definiteness	definiteness	NOUN
ap-7699	1027	3	we	we	PRON
ap-7699	1027	4	can	can	AUX
ap-7699	1027	5	assume	assume	VERB
ap-7699	1027	6	that	that	SCONJ
ap-7699	1027	7	ng	ng	PROPN
ap-7699	1027	8	>	>	X
ap-7699	1027	9	1	1	NUM
ap-7699	1027	10	since	since	SCONJ
ap-7699	1027	11	here	here	ADV
ap-7699	1027	12	we	we	PRON
ap-7699	1027	13	will	will	AUX
ap-7699	1027	14	not	not	PART
ap-7699	1027	15	be	be	AUX
ap-7699	1027	16	interested	interested	ADJ
ap-7699	1027	17	in	in	ADP
ap-7699	1027	18	vacuum	vacuum	NOUN
ap-7699	1027	19	or	or	CCONJ
ap-7699	1027	20	tadpole	tadpole	NOUN
ap-7699	1027	21	diagrams	diagram	NOUN
ap-7699	1027	22	and	and	CCONJ
ap-7699	1027	23	quantum	quantum	NOUN
ap-7699	1027	24	corrections	correction	NOUN
ap-7699	1027	25	to	to	ADP
ap-7699	1027	26	them	they	PRON
ap-7699	1027	27	.	.	PUNCT
ap-7699	1028	1	now	now	ADV
ap-7699	1028	2	,	,	PUNCT
ap-7699	1028	3	for	for	ADP
ap-7699	1028	4	a	a	DET
ap-7699	1028	5	general	general	ADJ
ap-7699	1028	6	diagram	diagram	NOUN
ap-7699	1028	7	g	g	NOUN
ap-7699	1028	8	with	with	ADP
ap-7699	1028	9	ng	ng	PROPN
ap-7699	1028	10	external	external	PROPN
ap-7699	1028	11	graviton	graviton	PROPN
ap-7699	1028	12	lines	line	NOUN
ap-7699	1028	13	,	,	PUNCT
ap-7699	1028	14	the	the	DET
ap-7699	1028	15	worst	bad	ADJ
ap-7699	1028	16	situation	situation	NOUN
ap-7699	1028	17	from	from	ADP
ap-7699	1028	18	the	the	DET
ap-7699	1028	19	point	point	NOUN
ap-7699	1028	20	of	of	ADP
ap-7699	1028	21	view	view	NOUN
ap-7699	1028	22	of	of	ADP
ap-7699	1028	23	uv	uv	NOUN
ap-7699	1028	24	divergences	divergence	NOUN
ap-7699	1028	25	is	be	AUX
ap-7699	1028	26	for	for	ADP
ap-7699	1028	27	the	the	DET
ap-7699	1028	28	following	follow	VERB
ap-7699	1028	29	topology	topology	NOUN
ap-7699	1028	30	of	of	ADP
ap-7699	1028	31	the	the	DET
ap-7699	1028	32	diagram	diagram	NOUN
ap-7699	1028	33	,	,	PUNCT
ap-7699	1028	34	namely	namely	ADV
ap-7699	1028	35	there	there	PRON
ap-7699	1028	36	is	be	VERB
ap-7699	1028	37	one	one	NUM
ap-7699	1028	38	loop	loop	NOUN
ap-7699	1028	39	of	of	ADP
ap-7699	1028	40	gravitons	graviton	NOUN
ap-7699	1028	41	(	(	PUNCT
ap-7699	1028	42	so	so	ADV
ap-7699	1028	43	called	call	VERB
ap-7699	1028	44	“	"	PUNCT
ap-7699	1028	45	ring	ring	NOUN
ap-7699	1028	46	of	of	ADP
ap-7699	1028	47	gravitons	graviton	NOUN
ap-7699	1028	48	”	"	PUNCT
ap-7699	1028	49	)	)	PUNCT
ap-7699	1028	50	in	in	ADP
ap-7699	1028	51	the	the	DET
ap-7699	1028	52	middle	middle	NOUN
ap-7699	1028	53	with	with	ADP
ap-7699	1028	54	ng	ng	PROPN
ap-7699	1028	55	3	3	NUM
ap-7699	1028	56	-	-	PUNCT
ap-7699	1028	57	leg	leg	NOUN
ap-7699	1028	58	vertices	vertex	NOUN
ap-7699	1028	59	joined	join	VERB
ap-7699	1028	60	by	by	ADP
ap-7699	1028	61	ng	ng	PROPN
ap-7699	1028	62	propagators	propagator	NOUN
ap-7699	1028	63	.	.	PUNCT
ap-7699	1029	1	in	in	ADP
ap-7699	1029	2	the	the	DET
ap-7699	1029	3	case	case	NOUN
ap-7699	1029	4	when	when	SCONJ
ap-7699	1029	5	we	we	PRON
ap-7699	1029	6	concentrate	concentrate	VERB
ap-7699	1029	7	on	on	ADP
ap-7699	1029	8	logarithmic	logarithmic	ADJ
ap-7699	1029	9	divergences	divergence	NOUN
ap-7699	1029	10	d	d	NOUN
ap-7699	1029	11	=	=	SYM
ap-7699	1029	12	0	0	NUM
ap-7699	1029	13	,	,	PUNCT
ap-7699	1029	14	we	we	PRON
ap-7699	1029	15	get	get	VERB
ap-7699	1029	16	the	the	DET
ap-7699	1029	17	following	follow	VERB
ap-7699	1029	18	results	result	NOUN
ap-7699	1029	19	for	for	ADP
ap-7699	1029	20	the	the	DET
ap-7699	1029	21	quantity	quantity	NOUN
ap-7699	1029	22	d∂	d∂	NOUN
ap-7699	1029	23	which	which	PRON
ap-7699	1029	24	tells	tell	VERB
ap-7699	1029	25	us	we	PRON
ap-7699	1029	26	how	how	SCONJ
ap-7699	1029	27	many	many	ADJ
ap-7699	1029	28	derivatives	derivative	NOUN
ap-7699	1029	29	we	we	PRON
ap-7699	1029	30	must	must	AUX
ap-7699	1029	31	have	have	VERB
ap-7699	1029	32	in	in	ADP
ap-7699	1029	33	the	the	DET
ap-7699	1029	34	corresponding	corresponding	ADJ
ap-7699	1029	35	counterterm	counterterm	NOUN
ap-7699	1029	36	to	to	PART
ap-7699	1029	37	absorb	absorb	VERB
ap-7699	1029	38	the	the	DET
ap-7699	1029	39	divergence	divergence	NOUN
ap-7699	1029	40	,	,	PUNCT
ap-7699	1029	41	d∂	d∂	NOUN
ap-7699	1029	42	=	=	SYM
ap-7699	1029	43	4	4	NUM
ap-7699	1029	44	+	+	NUM
ap-7699	1029	45	ng(6	ng(6	NOUN
ap-7699	1029	46	−	−	PROPN
ap-7699	1029	47	m	m	NOUN
ap-7699	1029	48	)	)	PUNCT
ap-7699	1029	49	(	(	PUNCT
ap-7699	1029	50	57	57	NUM
ap-7699	1029	51	)	)	PUNCT
ap-7699	1029	52	for	for	ADP
ap-7699	1029	53	the	the	DET
ap-7699	1029	54	graph	graph	NOUN
ap-7699	1029	55	contributing	contribute	VERB
ap-7699	1029	56	one	one	NUM
ap-7699	1029	57	-	-	PUNCT
ap-7699	1029	58	loop	loop	NOUN
ap-7699	1029	59	quantum	quantum	NOUN
ap-7699	1029	60	corrections	correction	NOUN
ap-7699	1029	61	to	to	ADP
ap-7699	1029	62	the	the	DET
ap-7699	1029	63	ng	ng	PROPN
ap-7699	1029	64	-	-	PUNCT
ap-7699	1029	65	point	point	NOUN
ap-7699	1029	66	green	green	ADJ
ap-7699	1029	67	function	function	NOUN
ap-7699	1029	68	.	.	PUNCT
ap-7699	1030	1	one	one	NUM
ap-7699	1030	2	sees	see	VERB
ap-7699	1030	3	that	that	SCONJ
ap-7699	1030	4	this	this	DET
ap-7699	1030	5	d∂	d∂	NOUN
ap-7699	1030	6	grows	grow	VERB
ap-7699	1030	7	without	without	ADP
ap-7699	1030	8	a	a	DET
ap-7699	1030	9	bound	bind	VERB
ap-7699	1030	10	even	even	ADV
ap-7699	1030	11	at	at	ADP
ap-7699	1030	12	the	the	DET
ap-7699	1030	13	one	one	NUM
ap-7699	1030	14	-	-	PUNCT
ap-7699	1030	15	loop	loop	NOUN
ap-7699	1030	16	level	level	NOUN
ap-7699	1030	17	,	,	PUNCT
ap-7699	1030	18	when	when	SCONJ
ap-7699	1030	19	ng	ng	PROPN
ap-7699	1030	20	grows	grow	VERB
ap-7699	1030	21	,	,	PUNCT
ap-7699	1030	22	so	so	SCONJ
ap-7699	1030	23	in	in	ADP
ap-7699	1030	24	principle	principle	NOUN
ap-7699	1030	25	to	to	PART
ap-7699	1030	26	renormalize	renormalize	VERB
ap-7699	1030	27	the	the	DET
ap-7699	1030	28	theory	theory	NOUN
ap-7699	1030	29	at	at	ADP
ap-7699	1030	30	the	the	DET
ap-7699	1030	31	one	one	NUM
ap-7699	1030	32	-	-	PUNCT
ap-7699	1030	33	loop	loop	NOUN
ap-7699	1030	34	level	level	NOUN
ap-7699	1030	35	one	one	PRON
ap-7699	1030	36	would	would	AUX
ap-7699	1030	37	need	need	VERB
ap-7699	1030	38	already	already	ADV
ap-7699	1030	39	infinitely	infinitely	ADV
ap-7699	1030	40	many	many	ADJ
ap-7699	1030	41	gr	gr	ADJ
ap-7699	1030	42	-	-	PUNCT
ap-7699	1030	43	covariant	covariant	ADJ
ap-7699	1030	44	terms	term	NOUN
ap-7699	1030	45	,	,	PUNCT
ap-7699	1030	46	if	if	SCONJ
ap-7699	1030	47	one	one	PRON
ap-7699	1030	48	does	do	AUX
ap-7699	1030	49	not	not	PART
ap-7699	1030	50	bound	bind	VERB
ap-7699	1030	51	the	the	DET
ap-7699	1030	52	number	number	NOUN
ap-7699	1030	53	of	of	ADP
ap-7699	1030	54	external	external	ADJ
ap-7699	1030	55	legs	leg	NOUN
ap-7699	1030	56	of	of	ADP
ap-7699	1030	57	green	green	ADJ
ap-7699	1030	58	functions	function	NOUN
ap-7699	1030	59	that	that	PRON
ap-7699	1030	60	must	must	AUX
ap-7699	1030	61	be	be	AUX
ap-7699	1030	62	considered	consider	VERB
ap-7699	1030	63	here	here	ADV
ap-7699	1030	64	.	.	PUNCT
ap-7699	1031	1	a	a	DET
ap-7699	1031	2	few	few	ADJ
ap-7699	1031	3	words	word	NOUN
ap-7699	1031	4	about	about	ADP
ap-7699	1031	5	explanation	explanation	NOUN
ap-7699	1031	6	of	of	ADP
ap-7699	1031	7	numbers	number	NOUN
ap-7699	1031	8	appearing	appear	VERB
ap-7699	1031	9	in	in	ADP
ap-7699	1031	10	the	the	DET
ap-7699	1031	11	formula	formula	NOUN
ap-7699	1031	12	(	(	PUNCT
ap-7699	1031	13	57	57	NUM
ap-7699	1031	14	)	)	PUNCT
ap-7699	1031	15	.	.	PUNCT
ap-7699	1032	1	the	the	DET
ap-7699	1032	2	4	4	NUM
ap-7699	1032	3	there	there	PRON
ap-7699	1032	4	is	be	VERB
ap-7699	1032	5	the	the	DET
ap-7699	1032	6	number	number	NOUN
ap-7699	1032	7	of	of	ADP
ap-7699	1032	8	spacetime	spacetime	NOUN
ap-7699	1032	9	dimensions	dimension	NOUN
ap-7699	1032	10	(	(	PUNCT
ap-7699	1032	11	integration	integration	NOUN
ap-7699	1032	12	over	over	ADP
ap-7699	1032	13	all	all	DET
ap-7699	1032	14	momenta	momenta	NOUN
ap-7699	1032	15	components	component	NOUN
ap-7699	1032	16	at	at	ADP
ap-7699	1032	17	the	the	DET
ap-7699	1032	18	oneloop	oneloop	NOUN
ap-7699	1032	19	level	level	NOUN
ap-7699	1032	20	)	)	PUNCT
ap-7699	1032	21	,	,	PUNCT
ap-7699	1032	22	while	while	SCONJ
ap-7699	1032	23	the	the	DET
ap-7699	1032	24	(	(	PUNCT
ap-7699	1032	25	6	6	NUM
ap-7699	1032	26	−	−	PROPN
ap-7699	1032	27	m	m	PART
ap-7699	1032	28	)	)	PUNCT
ap-7699	1032	29	factor	factor	NOUN
ap-7699	1032	30	comes	come	VERB
ap-7699	1032	31	from	from	ADP
ap-7699	1032	32	the	the	DET
ap-7699	1032	33	difference	difference	NOUN
ap-7699	1032	34	between	between	ADP
ap-7699	1032	35	the	the	DET
ap-7699	1032	36	highest	high	ADJ
ap-7699	1032	37	number	number	NOUN
ap-7699	1032	38	of	of	ADP
ap-7699	1032	39	derivatives	derivative	NOUN
ap-7699	1032	40	in	in	ADP
ap-7699	1032	41	the	the	DET
ap-7699	1032	42	vertex	vertex	NOUN
ap-7699	1032	43	,	,	PUNCT
ap-7699	1032	44	i.e.	i.e.	X
ap-7699	1032	45	6	6	NUM
ap-7699	1032	46	compensated	compensate	VERB
ap-7699	1032	47	by	by	ADP
ap-7699	1032	48	the	the	DET
ap-7699	1032	49	worst	bad	ADJ
ap-7699	1032	50	behaviour	behaviour	NOUN
ap-7699	1032	51	in	in	ADP
ap-7699	1032	52	some	some	DET
ap-7699	1032	53	propagator	propagator	NOUN
ap-7699	1032	54	components	component	NOUN
ap-7699	1032	55	given	give	VERB
ap-7699	1032	56	in	in	ADP
ap-7699	1032	57	the	the	DET
ap-7699	1032	58	uv	uv	NOUN
ap-7699	1032	59	by	by	ADP
ap-7699	1032	60	k−m	k−m	NOUN
ap-7699	1032	61	only	only	ADV
ap-7699	1032	62	.	.	PUNCT
ap-7699	1033	1	moreover	moreover	ADV
ap-7699	1033	2	,	,	PUNCT
ap-7699	1033	3	there	there	PRON
ap-7699	1033	4	are	be	VERB
ap-7699	1033	5	precisely	precisely	ADV
ap-7699	1033	6	ng	ng	PROPN
ap-7699	1033	7	segments	segment	NOUN
ap-7699	1033	8	of	of	ADP
ap-7699	1033	9	the	the	DET
ap-7699	1033	10	structure	structure	NOUN
ap-7699	1033	11	propagator	propagator	NOUN
ap-7699	1033	12	joined	join	VERB
ap-7699	1033	13	with	with	ADP
ap-7699	1033	14	3	3	NUM
ap-7699	1033	15	-	-	PUNCT
ap-7699	1033	16	leg	leg	NOUN
ap-7699	1033	17	vertex	vertex	NOUN
ap-7699	1033	18	to	to	PART
ap-7699	1033	19	create	create	VERB
ap-7699	1033	20	a	a	DET
ap-7699	1033	21	big	big	ADJ
ap-7699	1033	22	loop	loop	NOUN
ap-7699	1033	23	.	.	PUNCT
ap-7699	1034	1	this	this	DET
ap-7699	1034	2	behaviour	behaviour	NOUN
ap-7699	1034	3	signals	signal	VERB
ap-7699	1034	4	complete	complete	ADJ
ap-7699	1034	5	lack	lack	NOUN
ap-7699	1034	6	of	of	ADP
ap-7699	1034	7	control	control	NOUN
ap-7699	1034	8	over	over	ADP
ap-7699	1034	9	perturbative	perturbative	ADJ
ap-7699	1034	10	one	one	NUM
ap-7699	1034	11	-	-	PUNCT
ap-7699	1034	12	loop	loop	NOUN
ap-7699	1034	13	divergences	divergence	NOUN
ap-7699	1034	14	even	even	ADV
ap-7699	1034	15	at	at	ADP
ap-7699	1034	16	the	the	DET
ap-7699	1034	17	one	one	NUM
ap-7699	1034	18	-	-	PUNCT
ap-7699	1034	19	loop	loop	NOUN
ap-7699	1034	20	level	level	NOUN
ap-7699	1034	21	.	.	PUNCT
ap-7699	1035	1	moreover	moreover	ADV
ap-7699	1035	2	,	,	PUNCT
ap-7699	1035	3	they	they	PRON
ap-7699	1035	4	have	have	VERB
ap-7699	1035	5	to	to	PART
ap-7699	1035	6	be	be	AUX
ap-7699	1035	7	absorbed	absorb	VERB
ap-7699	1035	8	in	in	ADP
ap-7699	1035	9	the	the	DET
ap-7699	1035	10	schematic	schematic	ADJ
ap-7699	1035	11	terms	term	NOUN
ap-7699	1035	12	of	of	ADP
ap-7699	1035	13	the	the	DET
ap-7699	1035	14	type	type	NOUN
ap-7699	1035	15	∇4	∇4	PROPN
ap-7699	1035	16	+	+	SYM
ap-7699	1035	17	4ng−ngm+2irng−i	4ng−ngm+2irng−i	NUM
ap-7699	1035	18	,	,	PUNCT
ap-7699	1035	19	(	(	PUNCT
ap-7699	1035	20	58	58	NUM
ap-7699	1035	21	)	)	PUNCT
ap-7699	1035	22	for	for	ADP
ap-7699	1035	23	the	the	DET
ap-7699	1035	24	index	index	NOUN
ap-7699	1035	25	i	i	PRON
ap-7699	1035	26	running	run	VERB
ap-7699	1035	27	over	over	ADP
ap-7699	1035	28	integer	integer	NOUN
ap-7699	1035	29	values	value	NOUN
ap-7699	1035	30	in	in	ADP
ap-7699	1035	31	the	the	DET
ap-7699	1035	32	range	range	NOUN
ap-7699	1036	1	i	i	NOUN
ap-7699	1036	2	=	=	NOUN
ap-7699	1036	3	0	0	NUM
ap-7699	1036	4	,	,	PUNCT
ap-7699	1036	5	1	1	NUM
ap-7699	1036	6	,	,	PUNCT
ap-7699	1036	7	2	2	NUM
ap-7699	1036	8	,	,	PUNCT
ap-7699	1036	9	.	.	PUNCT
ap-7699	1036	10	.	.	PUNCT
ap-7699	1036	11	.	.	PUNCT
ap-7699	1037	1	ng	ng	PROPN
ap-7699	1038	1	−	−	PROPN
ap-7699	1038	2	2	2	NUM
ap-7699	1038	3	,	,	PUNCT
ap-7699	1038	4	where	where	SCONJ
ap-7699	1038	5	we	we	PRON
ap-7699	1038	6	only	only	ADV
ap-7699	1038	7	mentioned	mention	VERB
ap-7699	1038	8	the	the	DET
ap-7699	1038	9	total	total	ADJ
ap-7699	1038	10	number	number	NOUN
ap-7699	1038	11	of	of	ADP
ap-7699	1038	12	covariant	covariant	ADJ
ap-7699	1038	13	derivatives	derivative	NOUN
ap-7699	1038	14	not	not	PART
ap-7699	1038	15	specifying	specify	VERB
ap-7699	1038	16	how	how	SCONJ
ap-7699	1038	17	they	they	PRON
ap-7699	1038	18	act	act	VERB
ap-7699	1038	19	on	on	ADP
ap-7699	1038	20	these	these	DET
ap-7699	1038	21	general	general	ADJ
ap-7699	1038	22	gravitational	gravitational	ADJ
ap-7699	1038	23	curvatures	curvature	NOUN
ap-7699	1038	24	.	.	PUNCT
ap-7699	1039	1	this	this	PRON
ap-7699	1039	2	is	be	AUX
ap-7699	1039	3	because	because	SCONJ
ap-7699	1039	4	this	this	PRON
ap-7699	1039	5	is	be	AUX
ap-7699	1039	6	an	an	DET
ap-7699	1039	7	expression	expression	NOUN
ap-7699	1039	8	for	for	ADP
ap-7699	1039	9	the	the	DET
ap-7699	1039	10	quantum	quantum	NOUN
ap-7699	1039	11	dressed	dress	VERB
ap-7699	1039	12	one	one	NUM
ap-7699	1039	13	-	-	PUNCT
ap-7699	1039	14	loop	loop	NOUN
ap-7699	1039	15	green	green	ADJ
ap-7699	1039	16	function	function	NOUN
ap-7699	1039	17	with	with	ADP
ap-7699	1039	18	ng	ng	PROPN
ap-7699	1039	19	graviton	graviton	PROPN
ap-7699	1039	20	legs	leg	NOUN
ap-7699	1039	21	on	on	ADP
ap-7699	1039	22	the	the	DET
ap-7699	1039	23	flat	flat	ADJ
ap-7699	1039	24	spacetime	spacetime	NOUN
ap-7699	1039	25	,	,	PUNCT
ap-7699	1040	1	so	so	SCONJ
ap-7699	1040	2	terms	term	NOUN
ap-7699	1040	3	with	with	ADP
ap-7699	1040	4	more	more	ADJ
ap-7699	1040	5	curvatures	curvature	NOUN
ap-7699	1040	6	than	than	SCONJ
ap-7699	1040	7	ng	ng	PROPN
ap-7699	1040	8	will	will	AUX
ap-7699	1040	9	not	not	PART
ap-7699	1040	10	contribute	contribute	VERB
ap-7699	1040	11	to	to	PART
ap-7699	1040	12	absorb	absorb	VERB
ap-7699	1040	13	these	these	DET
ap-7699	1040	14	divergence	divergence	NOUN
ap-7699	1040	15	of	of	ADP
ap-7699	1040	16	flat	flat	ADJ
ap-7699	1040	17	green	green	ADJ
ap-7699	1040	18	ng	ng	PROPN
ap-7699	1040	19	-	-	PUNCT
ap-7699	1040	20	point	point	NOUN
ap-7699	1040	21	function	function	NOUN
ap-7699	1040	22	.	.	PUNCT
ap-7699	1041	1	we	we	PRON
ap-7699	1041	2	only	only	ADV
ap-7699	1041	3	mentioned	mention	VERB
ap-7699	1041	4	here	here	ADV
ap-7699	1041	5	the	the	DET
ap-7699	1041	6	really	really	ADV
ap-7699	1041	7	the	the	DET
ap-7699	1041	8	worst	bad	ADJ
ap-7699	1041	9	situation	situation	NOUN
ap-7699	1041	10	,	,	PUNCT
ap-7699	1041	11	where	where	SCONJ
ap-7699	1041	12	the	the	DET
ap-7699	1041	13	divergence	divergence	NOUN
ap-7699	1041	14	may	may	AUX
ap-7699	1041	15	be	be	AUX
ap-7699	1041	16	finally	finally	ADV
ap-7699	1041	17	absorbable	absorbable	ADJ
ap-7699	1041	18	not	not	PART
ap-7699	1041	19	only	only	ADV
ap-7699	1041	20	by	by	ADP
ap-7699	1041	21	the	the	DET
ap-7699	1041	22	highest	high	ADJ
ap-7699	1041	23	curvature	curvature	NOUN
ap-7699	1041	24	terms	term	NOUN
ap-7699	1041	25	of	of	ADP
ap-7699	1041	26	the	the	DET
ap-7699	1041	27	type	type	NOUN
ap-7699	1041	28	∇4	∇4	PROPN
ap-7699	1041	29	+	+	ADJ
ap-7699	1041	30	4ng−ngmrng	4ng−ngmrng	PROPN
ap-7699	1041	31	but	but	CCONJ
ap-7699	1041	32	also	also	ADV
ap-7699	1041	33	for	for	ADP
ap-7699	1041	34	terms	term	NOUN
ap-7699	1041	35	with	with	ADP
ap-7699	1041	36	smaller	small	ADJ
ap-7699	1041	37	number	number	NOUN
ap-7699	1041	38	of	of	ADP
ap-7699	1041	39	curvatures	curvature	NOUN
ap-7699	1041	40	(	(	PUNCT
ap-7699	1041	41	up	up	ADP
ap-7699	1041	42	to	to	ADP
ap-7699	1041	43	r2	r2	NOUN
ap-7699	1041	44	terms	term	NOUN
ap-7699	1041	45	and	and	CCONJ
ap-7699	1041	46	in	in	ADP
ap-7699	1041	47	the	the	DET
ap-7699	1041	48	precise	precise	ADJ
ap-7699	1041	49	form	form	NOUN
ap-7699	1041	50	r	r	NOUN
ap-7699	1041	51	□	□	SYM
ap-7699	1041	52	1	1	NUM
ap-7699	1041	53	2	2	NUM
ap-7699	1041	54	ng(6−m)r	ng(6−m)r	PROPN
ap-7699	1041	55	)	)	PUNCT
ap-7699	1041	56	.	.	PUNCT
ap-7699	1042	1	we	we	PRON
ap-7699	1042	2	neglect	neglect	VERB
ap-7699	1042	3	writing	write	VERB
ap-7699	1042	4	counterterms	counterterm	NOUN
ap-7699	1042	5	here	here	ADV
ap-7699	1042	6	which	which	PRON
ap-7699	1042	7	are	be	AUX
ap-7699	1042	8	total	total	ADJ
ap-7699	1042	9	derivatives	derivative	NOUN
ap-7699	1042	10	and	and	CCONJ
ap-7699	1042	11	which	which	PRON
ap-7699	1042	12	are	be	AUX
ap-7699	1042	13	of	of	ADP
ap-7699	1042	14	the	the	DET
ap-7699	1042	15	cosmological	cosmological	ADJ
ap-7699	1042	16	constant	constant	ADJ
ap-7699	1042	17	type	type	NOUN
ap-7699	1042	18	.	.	PUNCT
ap-7699	1043	1	these	these	PRON
ap-7699	1043	2	are	be	AUX
ap-7699	1043	3	then	then	ADV
ap-7699	1043	4	the	the	DET
ap-7699	1043	5	needed	need	VERB
ap-7699	1043	6	counterterms	counterterm	NOUN
ap-7699	1043	7	off	off	ADV
ap-7699	1043	8	-	-	PUNCT
ap-7699	1043	9	shell	shell	NOUN
ap-7699	1043	10	at	at	ADP
ap-7699	1043	11	the	the	DET
ap-7699	1043	12	one	one	NUM
ap-7699	1043	13	-	-	PUNCT
ap-7699	1043	14	loop	loop	NOUN
ap-7699	1043	15	level	level	NOUN
ap-7699	1043	16	in	in	ADP
ap-7699	1043	17	such	such	ADJ
ap-7699	1043	18	general	general	ADJ
ap-7699	1043	19	reduced	reduce	VERB
ap-7699	1043	20	model	model	NOUN
ap-7699	1043	21	.	.	PUNCT
ap-7699	1044	1	to	to	PART
ap-7699	1044	2	make	make	VERB
ap-7699	1044	3	it	it	PRON
ap-7699	1044	4	more	more	ADV
ap-7699	1044	5	concrete	concrete	ADJ
ap-7699	1044	6	,	,	PUNCT
ap-7699	1044	7	we	we	PRON
ap-7699	1044	8	will	will	AUX
ap-7699	1044	9	analyze	analyze	VERB
ap-7699	1044	10	the	the	DET
ap-7699	1044	11	cases	case	NOUN
ap-7699	1044	12	of	of	ADP
ap-7699	1044	13	m	m	NOUN
ap-7699	1044	14	=	=	SYM
ap-7699	1044	15	0	0	NUM
ap-7699	1044	16	,	,	PUNCT
ap-7699	1044	17	2	2	NUM
ap-7699	1044	18	and	and	CCONJ
ap-7699	1044	19	4	4	NUM
ap-7699	1044	20	with	with	ADP
ap-7699	1044	21	special	special	ADJ
ap-7699	1044	22	attention	attention	NOUN
ap-7699	1044	23	here	here	ADV
ap-7699	1044	24	in	in	ADP
ap-7699	1044	25	these	these	DET
ap-7699	1044	26	badly	badly	ADV
ap-7699	1044	27	non	non	ADJ
ap-7699	1044	28	-	-	ADJ
ap-7699	1044	29	renormalizable	renormalizable	ADJ
ap-7699	1044	30	models	model	NOUN
ap-7699	1044	31	for	for	ADP
ap-7699	1044	32	some	some	DET
ap-7699	1044	33	small	small	ADJ
ap-7699	1044	34	numbers	number	NOUN
ap-7699	1044	35	of	of	ADP
ap-7699	1044	36	legs	leg	NOUN
ap-7699	1044	37	of	of	ADP
ap-7699	1044	38	quantum	quantum	NOUN
ap-7699	1044	39	dressed	dress	VERB
ap-7699	1044	40	green	green	ADJ
ap-7699	1044	41	functions	function	NOUN
ap-7699	1044	42	.	.	PUNCT
ap-7699	1045	1	we	we	PRON
ap-7699	1045	2	have	have	VERB
ap-7699	1045	3	that	that	PRON
ap-7699	1045	4	at	at	ADP
ap-7699	1045	5	m	m	PROPN
ap-7699	1045	6	=	=	NOUN
ap-7699	1045	7	0	0	NUM
ap-7699	1045	8	to	to	PART
ap-7699	1045	9	absorb	absorb	VERB
ap-7699	1045	10	uv	uv	NOUN
ap-7699	1045	11	divergences	divergence	NOUN
ap-7699	1045	12	from	from	ADP
ap-7699	1045	13	the	the	DET
ap-7699	1045	14	2	2	NUM
ap-7699	1045	15	-	-	PUNCT
ap-7699	1045	16	point	point	NOUN
ap-7699	1045	17	function	function	NOUN
ap-7699	1045	18	we	we	PRON
ap-7699	1045	19	need	need	VERB
ap-7699	1045	20	generic	generic	ADJ
ap-7699	1045	21	counterterms	counterterm	NOUN
ap-7699	1045	22	of	of	ADP
ap-7699	1045	23	the	the	DET
ap-7699	1045	24	form	form	NOUN
ap-7699	1045	25	:	:	PUNCT
ap-7699	1045	26	r	r	X
ap-7699	1045	27	□	□	PROPN
ap-7699	1045	28	jr	jr	PROPN
ap-7699	1045	29	with	with	ADP
ap-7699	1045	30	the	the	DET
ap-7699	1045	31	exponent	exponent	PROPN
ap-7699	1045	32	j	j	PROPN
ap-7699	1045	33	running	run	VERB
ap-7699	1045	34	over	over	ADP
ap-7699	1045	35	values	value	NOUN
ap-7699	1045	36	j	j	NOUN
ap-7699	1046	1	=	=	SYM
ap-7699	1046	2	0	0	NUM
ap-7699	1046	3	,	,	PUNCT
ap-7699	1046	4	1	1	NUM
ap-7699	1046	5	,	,	PUNCT
ap-7699	1046	6	2	2	NUM
ap-7699	1046	7	,	,	PUNCT
ap-7699	1046	8	3	3	NUM
ap-7699	1046	9	,	,	PUNCT
ap-7699	1046	10	4	4	NUM
ap-7699	1046	11	,	,	PUNCT
ap-7699	1046	12	5	5	NUM
ap-7699	1046	13	,	,	PUNCT
ap-7699	1046	14	6	6	NUM
ap-7699	1046	15	,	,	PUNCT
ap-7699	1046	16	while	while	SCONJ
ap-7699	1046	17	to	to	PART
ap-7699	1046	18	renormalize	renormalize	VERB
ap-7699	1046	19	a	a	DET
ap-7699	1046	20	threepoint	threepoint	NOUN
ap-7699	1046	21	function	function	NOUN
ap-7699	1046	22	one	one	NUM
ap-7699	1046	23	needs	need	VERB
ap-7699	1046	24	previous	previous	ADJ
ap-7699	1046	25	terms	term	NOUN
ap-7699	1046	26	and	and	CCONJ
ap-7699	1046	27	possibly	possibly	ADV
ap-7699	1046	28	new	new	ADJ
ap-7699	1046	29	terms	term	NOUN
ap-7699	1046	30	of	of	ADP
ap-7699	1046	31	the	the	DET
ap-7699	1046	32	type	type	NOUN
ap-7699	1046	33	∇jr3	∇jr3	NUM
ap-7699	1046	34	with	with	ADP
ap-7699	1046	35	j	j	PROPN
ap-7699	1046	36	=	=	SYM
ap-7699	1046	37	0	0	PROPN
ap-7699	1046	38	,	,	PUNCT
ap-7699	1046	39	.	.	PUNCT
ap-7699	1046	40	.	.	PUNCT
ap-7699	1047	1	.	.	PUNCT
ap-7699	1048	1	,	,	PUNCT
ap-7699	1048	2	16	16	NUM
ap-7699	1048	3	and	and	CCONJ
ap-7699	1048	4	for	for	ADP
ap-7699	1048	5	four	four	NUM
ap-7699	1048	6	-	-	PUNCT
ap-7699	1048	7	point	point	NOUN
ap-7699	1048	8	functions	function	NOUN
ap-7699	1048	9	new	new	ADJ
ap-7699	1048	10	terms	term	NOUN
ap-7699	1048	11	are	be	AUX
ap-7699	1048	12	of	of	ADP
ap-7699	1048	13	the	the	DET
ap-7699	1048	14	type	type	NOUN
ap-7699	1048	15	∇jr4	∇jr4	PROPN
ap-7699	1048	16	with	with	ADP
ap-7699	1048	17	j	j	PROPN
ap-7699	1048	18	=	=	SYM
ap-7699	1048	19	0	0	PROPN
ap-7699	1048	20	,	,	PUNCT
ap-7699	1048	21	.	.	PUNCT
ap-7699	1048	22	.	.	PUNCT
ap-7699	1049	1	.	.	PUNCT
ap-7699	1050	1	,	,	PUNCT
ap-7699	1050	2	20	20	NUM
ap-7699	1050	3	,	,	PUNCT
ap-7699	1050	4	etc	etc	X
ap-7699	1050	5	.	.	X
ap-7699	1051	1	for	for	ADP
ap-7699	1051	2	higher	high	ADJ
ap-7699	1051	3	green	green	ADJ
ap-7699	1051	4	functions	function	NOUN
ap-7699	1051	5	(	(	PUNCT
ap-7699	1051	6	for	for	ADP
ap-7699	1051	7	ng	ng	PROPN
ap-7699	1051	8	-	-	PUNCT
ap-7699	1051	9	leg	leg	NOUN
ap-7699	1051	10	correlators	correlator	NOUN
ap-7699	1051	11	one	one	NUM
ap-7699	1051	12	needs	need	VERB
ap-7699	1051	13	j	j	PROPN
ap-7699	1051	14	up	up	ADP
ap-7699	1051	15	to	to	ADP
ap-7699	1051	16	jmax	jmax	NOUN
ap-7699	1051	17	=	=	PUNCT
ap-7699	1052	1	4ng	4ng	NOUN
ap-7699	1052	2	+	+	PUNCT
ap-7699	1052	3	4	4	NUM
ap-7699	1052	4	)	)	PUNCT
ap-7699	1052	5	.	.	PUNCT
ap-7699	1053	1	146	146	NUM
ap-7699	1053	2	vol	vol	NOUN
ap-7699	1053	3	.	.	PUNCT
ap-7699	1054	1	62	62	NUM
ap-7699	1054	2	no	no	INTJ
ap-7699	1054	3	.	.	PUNCT
ap-7699	1055	1	1/2022	1/2022	NUM
ap-7699	1055	2	beta	beta	NOUN
ap-7699	1055	3	functions	function	NOUN
ap-7699	1055	4	in	in	ADP
ap-7699	1055	5	six	six	NUM
ap-7699	1055	6	-	-	PUNCT
ap-7699	1055	7	derivative	derivative	ADJ
ap-7699	1055	8	quantum	quantum	NOUN
ap-7699	1055	9	gravity	gravity	NOUN
ap-7699	1055	10	when	when	SCONJ
ap-7699	1055	11	we	we	PRON
ap-7699	1055	12	regularize	regularize	VERB
ap-7699	1055	13	by	by	ADP
ap-7699	1055	14	adding	add	VERB
ap-7699	1055	15	the	the	DET
ap-7699	1055	16	e	e	NOUN
ap-7699	1055	17	-	-	ADJ
ap-7699	1055	18	h	h	ADJ
ap-7699	1055	19	term	term	NOUN
ap-7699	1055	20	with	with	ADP
ap-7699	1055	21	m	m	PROPN
ap-7699	1055	22	=	=	SYM
ap-7699	1055	23	2	2	NUM
ap-7699	1055	24	the	the	DET
ap-7699	1055	25	situation	situation	NOUN
ap-7699	1055	26	is	be	AUX
ap-7699	1055	27	slightly	slightly	ADV
ap-7699	1055	28	better	well	ADJ
ap-7699	1055	29	,	,	PUNCT
ap-7699	1055	30	but	but	CCONJ
ap-7699	1055	31	then	then	ADV
ap-7699	1055	32	to	to	PART
ap-7699	1055	33	absorb	absorb	VERB
ap-7699	1055	34	uv	uv	NOUN
ap-7699	1055	35	divergences	divergence	NOUN
ap-7699	1055	36	from	from	ADP
ap-7699	1055	37	the	the	DET
ap-7699	1055	38	2	2	NUM
ap-7699	1055	39	-	-	PUNCT
ap-7699	1055	40	point	point	NOUN
ap-7699	1055	41	function	function	NOUN
ap-7699	1055	42	we	we	PRON
ap-7699	1055	43	need	need	VERB
ap-7699	1055	44	generic	generic	ADJ
ap-7699	1055	45	counterterms	counterterm	NOUN
ap-7699	1055	46	of	of	ADP
ap-7699	1055	47	the	the	DET
ap-7699	1055	48	form	form	NOUN
ap-7699	1055	49	:	:	PUNCT
ap-7699	1055	50	r	r	X
ap-7699	1055	51	□	□	PROPN
ap-7699	1055	52	jr	jr	PROPN
ap-7699	1055	53	with	with	ADP
ap-7699	1055	54	the	the	DET
ap-7699	1055	55	exponent	exponent	PROPN
ap-7699	1055	56	j	j	PROPN
ap-7699	1055	57	running	run	VERB
ap-7699	1055	58	over	over	ADP
ap-7699	1055	59	values	value	NOUN
ap-7699	1055	60	j	j	NOUN
ap-7699	1055	61	=	=	SYM
ap-7699	1055	62	0	0	NUM
ap-7699	1055	63	,	,	PUNCT
ap-7699	1055	64	1	1	NUM
ap-7699	1055	65	,	,	PUNCT
ap-7699	1055	66	2	2	NUM
ap-7699	1055	67	,	,	PUNCT
ap-7699	1055	68	3	3	NUM
ap-7699	1055	69	,	,	PUNCT
ap-7699	1055	70	4	4	NUM
ap-7699	1055	71	,	,	PUNCT
ap-7699	1055	72	while	while	SCONJ
ap-7699	1055	73	to	to	PART
ap-7699	1055	74	renormalize	renormalize	VERB
ap-7699	1055	75	a	a	DET
ap-7699	1055	76	three	three	NUM
ap-7699	1055	77	-	-	PUNCT
ap-7699	1055	78	point	point	NOUN
ap-7699	1055	79	function	function	NOUN
ap-7699	1055	80	one	one	NUM
ap-7699	1055	81	needs	need	VERB
ap-7699	1055	82	previous	previous	ADJ
ap-7699	1055	83	terms	term	NOUN
ap-7699	1055	84	and	and	CCONJ
ap-7699	1055	85	possibly	possibly	ADV
ap-7699	1055	86	new	new	ADJ
ap-7699	1055	87	terms	term	NOUN
ap-7699	1055	88	of	of	ADP
ap-7699	1055	89	the	the	DET
ap-7699	1055	90	type	type	NOUN
ap-7699	1055	91	∇jr3	∇jr3	NUM
ap-7699	1055	92	with	with	ADP
ap-7699	1055	93	j	j	PROPN
ap-7699	1055	94	=	=	SYM
ap-7699	1055	95	0	0	PROPN
ap-7699	1055	96	,	,	PUNCT
ap-7699	1055	97	.	.	PUNCT
ap-7699	1055	98	.	.	PUNCT
ap-7699	1055	99	.	.	PUNCT
ap-7699	1056	1	,	,	PUNCT
ap-7699	1056	2	10	10	NUM
ap-7699	1056	3	and	and	CCONJ
ap-7699	1056	4	for	for	ADP
ap-7699	1056	5	four	four	NUM
ap-7699	1056	6	-	-	PUNCT
ap-7699	1056	7	point	point	NOUN
ap-7699	1056	8	functions	function	NOUN
ap-7699	1056	9	new	new	ADJ
ap-7699	1056	10	terms	term	NOUN
ap-7699	1056	11	are	be	AUX
ap-7699	1056	12	of	of	ADP
ap-7699	1056	13	the	the	DET
ap-7699	1056	14	type	type	NOUN
ap-7699	1056	15	∇jr4	∇jr4	PROPN
ap-7699	1056	16	with	with	ADP
ap-7699	1056	17	j	j	PROPN
ap-7699	1056	18	=	=	SYM
ap-7699	1056	19	0	0	PROPN
ap-7699	1056	20	,	,	PUNCT
ap-7699	1056	21	.	.	PUNCT
ap-7699	1056	22	.	.	PUNCT
ap-7699	1057	1	.	.	PUNCT
ap-7699	1058	1	,	,	PUNCT
ap-7699	1058	2	12	12	NUM
ap-7699	1058	3	,	,	PUNCT
ap-7699	1058	4	etc	etc	X
ap-7699	1058	5	.	.	X
ap-7699	1059	1	for	for	ADP
ap-7699	1059	2	higher	high	ADJ
ap-7699	1059	3	green	green	ADJ
ap-7699	1059	4	functions	function	NOUN
ap-7699	1059	5	(	(	PUNCT
ap-7699	1059	6	for	for	ADP
ap-7699	1059	7	ng	ng	PROPN
ap-7699	1059	8	-	-	PUNCT
ap-7699	1059	9	leg	leg	NOUN
ap-7699	1059	10	correlators	correlator	NOUN
ap-7699	1059	11	one	one	NUM
ap-7699	1059	12	needs	need	VERB
ap-7699	1059	13	j	j	PROPN
ap-7699	1059	14	up	up	ADP
ap-7699	1059	15	to	to	ADP
ap-7699	1059	16	jmax	jmax	NOUN
ap-7699	1059	17	=	=	PUNCT
ap-7699	1059	18	2ng	2ng	PROPN
ap-7699	1059	19	+4	+4	PROPN
ap-7699	1059	20	)	)	PUNCT
ap-7699	1059	21	.	.	PUNCT
ap-7699	1060	1	finally	finally	ADV
ap-7699	1060	2	,	,	PUNCT
ap-7699	1060	3	we	we	PRON
ap-7699	1060	4	can	can	AUX
ap-7699	1060	5	add	add	VERB
ap-7699	1060	6	terms	term	NOUN
ap-7699	1060	7	of	of	ADP
ap-7699	1060	8	the	the	DET
ap-7699	1060	9	type	type	NOUN
ap-7699	1060	10	r2	r2	NOUN
ap-7699	1060	11	and	and	CCONJ
ap-7699	1060	12	c2	c2	PROPN
ap-7699	1060	13	for	for	ADP
ap-7699	1060	14	the	the	DET
ap-7699	1060	15	regularization	regularization	NOUN
ap-7699	1060	16	purposes	purpose	NOUN
ap-7699	1060	17	.	.	PUNCT
ap-7699	1061	1	in	in	ADP
ap-7699	1061	2	such	such	ADJ
ap-7699	1061	3	final	final	ADJ
ap-7699	1061	4	case	case	NOUN
ap-7699	1061	5	to	to	PART
ap-7699	1061	6	be	be	AUX
ap-7699	1061	7	considered	consider	VERB
ap-7699	1061	8	here	here	ADV
ap-7699	1061	9	one	one	PRON
ap-7699	1061	10	has	have	VERB
ap-7699	1061	11	that	that	PRON
ap-7699	1061	12	to	to	PART
ap-7699	1061	13	absorb	absorb	VERB
ap-7699	1061	14	uv	uv	NOUN
ap-7699	1061	15	divergences	divergence	NOUN
ap-7699	1061	16	from	from	ADP
ap-7699	1061	17	the	the	DET
ap-7699	1061	18	2	2	NUM
ap-7699	1061	19	-	-	PUNCT
ap-7699	1061	20	point	point	NOUN
ap-7699	1061	21	function	function	NOUN
ap-7699	1061	22	we	we	PRON
ap-7699	1061	23	need	need	VERB
ap-7699	1061	24	generic	generic	ADJ
ap-7699	1061	25	counterterms	counterterm	NOUN
ap-7699	1061	26	of	of	ADP
ap-7699	1061	27	the	the	DET
ap-7699	1061	28	form	form	NOUN
ap-7699	1061	29	:	:	PUNCT
ap-7699	1061	30	r	r	X
ap-7699	1061	31	□	□	PROPN
ap-7699	1061	32	jr	jr	PROPN
ap-7699	1061	33	with	with	ADP
ap-7699	1061	34	the	the	DET
ap-7699	1061	35	exponent	exponent	PROPN
ap-7699	1061	36	j	j	PROPN
ap-7699	1061	37	running	run	VERB
ap-7699	1061	38	over	over	ADP
ap-7699	1061	39	values	value	NOUN
ap-7699	1061	40	j	j	NOUN
ap-7699	1062	1	=	=	SYM
ap-7699	1062	2	0	0	NUM
ap-7699	1062	3	,	,	PUNCT
ap-7699	1062	4	1	1	NUM
ap-7699	1062	5	,	,	PUNCT
ap-7699	1062	6	2	2	NUM
ap-7699	1062	7	,	,	PUNCT
ap-7699	1062	8	while	while	SCONJ
ap-7699	1062	9	to	to	PART
ap-7699	1062	10	renormalize	renormalize	VERB
ap-7699	1062	11	a	a	DET
ap-7699	1062	12	three	three	NUM
ap-7699	1062	13	-	-	PUNCT
ap-7699	1062	14	point	point	NOUN
ap-7699	1062	15	function	function	NOUN
ap-7699	1062	16	one	one	NUM
ap-7699	1062	17	needs	need	VERB
ap-7699	1062	18	previous	previous	ADJ
ap-7699	1062	19	terms	term	NOUN
ap-7699	1062	20	and	and	CCONJ
ap-7699	1062	21	possibly	possibly	ADV
ap-7699	1062	22	new	new	ADJ
ap-7699	1062	23	terms	term	NOUN
ap-7699	1062	24	of	of	ADP
ap-7699	1062	25	the	the	DET
ap-7699	1062	26	type	type	NOUN
ap-7699	1062	27	∇jr3	∇jr3	NUM
ap-7699	1062	28	with	with	ADP
ap-7699	1062	29	j	j	PROPN
ap-7699	1062	30	=	=	SYM
ap-7699	1062	31	0	0	PROPN
ap-7699	1062	32	,	,	PUNCT
ap-7699	1062	33	.	.	PUNCT
ap-7699	1062	34	.	.	PUNCT
ap-7699	1063	1	.	.	PUNCT
ap-7699	1064	1	,	,	PUNCT
ap-7699	1064	2	4	4	NUM
ap-7699	1064	3	and	and	CCONJ
ap-7699	1064	4	for	for	ADP
ap-7699	1064	5	four	four	NUM
ap-7699	1064	6	-	-	PUNCT
ap-7699	1064	7	point	point	NOUN
ap-7699	1064	8	functions	function	NOUN
ap-7699	1064	9	new	new	ADJ
ap-7699	1064	10	terms	term	NOUN
ap-7699	1064	11	are	be	AUX
ap-7699	1064	12	of	of	ADP
ap-7699	1064	13	the	the	DET
ap-7699	1064	14	type	type	NOUN
ap-7699	1064	15	∇jr4	∇jr4	PROPN
ap-7699	1064	16	with	with	ADP
ap-7699	1064	17	j	j	PROPN
ap-7699	1064	18	=	=	SYM
ap-7699	1064	19	0	0	PROPN
ap-7699	1064	20	,	,	PUNCT
ap-7699	1064	21	.	.	PUNCT
ap-7699	1064	22	.	.	PUNCT
ap-7699	1065	1	.	.	PUNCT
ap-7699	1066	1	,	,	PUNCT
ap-7699	1066	2	4	4	NUM
ap-7699	1066	3	,	,	PUNCT
ap-7699	1066	4	etc	etc	X
ap-7699	1066	5	.	.	X
ap-7699	1067	1	for	for	ADP
ap-7699	1067	2	higher	high	ADJ
ap-7699	1067	3	green	green	ADJ
ap-7699	1067	4	functions	function	NOUN
ap-7699	1067	5	(	(	PUNCT
ap-7699	1067	6	for	for	ADP
ap-7699	1067	7	ng	ng	PROPN
ap-7699	1067	8	-	-	PUNCT
ap-7699	1067	9	leg	leg	NOUN
ap-7699	1067	10	correlators	correlator	NOUN
ap-7699	1067	11	one	one	NUM
ap-7699	1067	12	needs	need	VERB
ap-7699	1067	13	j	j	PROPN
ap-7699	1067	14	up	up	ADP
ap-7699	1067	15	to	to	ADP
ap-7699	1067	16	jmax	jmax	NOUN
ap-7699	1067	17	=	=	PUNCT
ap-7699	1067	18	4	4	NUM
ap-7699	1067	19	here	here	ADV
ap-7699	1067	20	independently	independently	ADV
ap-7699	1067	21	on	on	ADP
ap-7699	1067	22	the	the	DET
ap-7699	1067	23	number	number	NOUN
ap-7699	1067	24	of	of	ADP
ap-7699	1067	25	legs	leg	NOUN
ap-7699	1067	26	ng	ng	PROPN
ap-7699	1067	27	)	)	PUNCT
ap-7699	1067	28	.	.	PUNCT
ap-7699	1068	1	still	still	ADV
ap-7699	1068	2	in	in	ADP
ap-7699	1068	3	this	this	DET
ap-7699	1068	4	last	last	ADJ
ap-7699	1068	5	case	case	NOUN
ap-7699	1068	6	one	one	PRON
ap-7699	1068	7	sees	see	VERB
ap-7699	1068	8	that	that	SCONJ
ap-7699	1068	9	one	one	PRON
ap-7699	1068	10	needs	need	VERB
ap-7699	1068	11	infinitely	infinitely	ADV
ap-7699	1068	12	many	many	ADJ
ap-7699	1068	13	counterterms	counterterm	NOUN
ap-7699	1068	14	to	to	PART
ap-7699	1068	15	renormalize	renormalize	VERB
ap-7699	1068	16	the	the	DET
ap-7699	1068	17	theory	theory	NOUN
ap-7699	1068	18	at	at	ADP
ap-7699	1068	19	the	the	DET
ap-7699	1068	20	one	one	NUM
ap-7699	1068	21	-	-	PUNCT
ap-7699	1068	22	loop	loop	NOUN
ap-7699	1068	23	level	level	NOUN
ap-7699	1068	24	,	,	PUNCT
ap-7699	1068	25	although	although	SCONJ
ap-7699	1068	26	the	the	DET
ap-7699	1068	27	index	index	NOUN
ap-7699	1068	28	j	j	PROPN
ap-7699	1068	29	of	of	ADP
ap-7699	1068	30	added	add	VERB
ap-7699	1068	31	covariant	covariant	ADJ
ap-7699	1068	32	derivative	derivative	NOUN
ap-7699	1068	33	is	be	AUX
ap-7699	1068	34	bounded	bound	VERB
ap-7699	1068	35	by	by	ADP
ap-7699	1068	36	the	the	DET
ap-7699	1068	37	values	value	NOUN
ap-7699	1068	38	4	4	NUM
ap-7699	1068	39	,	,	PUNCT
ap-7699	1068	40	still	still	ADV
ap-7699	1068	41	one	one	NUM
ap-7699	1068	42	needs	need	VERB
ap-7699	1068	43	more	more	ADJ
ap-7699	1068	44	terms	term	NOUN
ap-7699	1068	45	with	with	ADP
ap-7699	1068	46	more	more	ADJ
ap-7699	1068	47	powers	power	NOUN
ap-7699	1068	48	of	of	ADP
ap-7699	1068	49	gravitational	gravitational	ADJ
ap-7699	1068	50	curvatures	curvature	NOUN
ap-7699	1068	51	r.	r.	NOUN
ap-7699	1068	52	this	this	PRON
ap-7699	1068	53	shows	show	VERB
ap-7699	1068	54	how	how	SCONJ
ap-7699	1068	55	badly	badly	ADV
ap-7699	1068	56	non	non	ADJ
ap-7699	1068	57	-	-	ADJ
ap-7699	1068	58	renormalizable	renormalizable	ADJ
ap-7699	1068	59	are	be	AUX
ap-7699	1068	60	these	these	DET
ap-7699	1068	61	models	model	NOUN
ap-7699	1068	62	already	already	ADV
ap-7699	1068	63	at	at	ADP
ap-7699	1068	64	the	the	DET
ap-7699	1068	65	one	one	NUM
ap-7699	1068	66	-	-	PUNCT
ap-7699	1068	67	loop	loop	NOUN
ap-7699	1068	68	level	level	NOUN
ap-7699	1068	69	and	and	CCONJ
ap-7699	1068	70	that	that	SCONJ
ap-7699	1068	71	any	any	DET
ap-7699	1068	72	control	control	NOUN
ap-7699	1068	73	over	over	ADP
ap-7699	1068	74	perturbative	perturbative	ADJ
ap-7699	1068	75	uv	uv	NOUN
ap-7699	1068	76	divergence	divergence	NOUN
ap-7699	1068	77	is	be	AUX
ap-7699	1068	78	likely	likely	ADV
ap-7699	1068	79	lost	lose	VERB
ap-7699	1068	80	,	,	PUNCT
ap-7699	1068	81	when	when	SCONJ
ap-7699	1068	82	the	the	DET
ap-7699	1068	83	number	number	NOUN
ap-7699	1068	84	of	of	ADP
ap-7699	1068	85	external	external	ADJ
ap-7699	1068	86	legs	leg	NOUN
ap-7699	1068	87	is	be	AUX
ap-7699	1068	88	not	not	PART
ap-7699	1068	89	bounded	bound	VERB
ap-7699	1068	90	here	here	ADV
ap-7699	1068	91	from	from	ADP
ap-7699	1068	92	above	above	ADV
ap-7699	1068	93	.	.	PUNCT
ap-7699	1069	1	these	these	DET
ap-7699	1069	2	reduced	reduce	VERB
ap-7699	1069	3	models	model	NOUN
ap-7699	1069	4	are	be	AUX
ap-7699	1069	5	examples	example	NOUN
ap-7699	1069	6	of	of	ADP
ap-7699	1069	7	theories	theory	NOUN
ap-7699	1069	8	when	when	SCONJ
ap-7699	1069	9	the	the	DET
ap-7699	1069	10	dimensionality	dimensionality	NOUN
ap-7699	1069	11	and	and	CCONJ
ap-7699	1069	12	the	the	DET
ap-7699	1069	13	number	number	NOUN
ap-7699	1069	14	of	of	ADP
ap-7699	1069	15	derivatives	derivative	NOUN
ap-7699	1069	16	one	one	PRON
ap-7699	1069	17	can	can	AUX
ap-7699	1069	18	extract	extract	VERB
ap-7699	1069	19	from	from	ADP
ap-7699	1069	20	the	the	DET
ap-7699	1069	21	vertices	vertex	NOUN
ap-7699	1069	22	and	and	CCONJ
ap-7699	1069	23	propagators	propagator	NOUN
ap-7699	1069	24	of	of	ADP
ap-7699	1069	25	the	the	DET
ap-7699	1069	26	theory	theory	NOUN
ap-7699	1069	27	differ	differ	VERB
ap-7699	1069	28	very	very	ADV
ap-7699	1069	29	much	much	ADV
ap-7699	1069	30	.	.	PUNCT
ap-7699	1070	1	previously	previously	ADV
ap-7699	1070	2	in	in	ADP
ap-7699	1070	3	quantum	quantum	ADJ
ap-7699	1070	4	gravity	gravity	NOUN
ap-7699	1070	5	models	model	NOUN
ap-7699	1070	6	these	these	DET
ap-7699	1070	7	two	two	NUM
ap-7699	1070	8	numbers	number	NOUN
ap-7699	1070	9	were	be	AUX
ap-7699	1070	10	identical	identical	ADJ
ap-7699	1070	11	which	which	PRON
ap-7699	1070	12	leads	lead	VERB
ap-7699	1070	13	to	to	ADP
ap-7699	1070	14	good	good	ADJ
ap-7699	1070	15	properties	property	NOUN
ap-7699	1070	16	of	of	ADP
ap-7699	1070	17	control	control	NOUN
ap-7699	1070	18	over	over	ADP
ap-7699	1070	19	perturbative	perturbative	ADJ
ap-7699	1070	20	divergences	divergence	NOUN
ap-7699	1070	21	(	(	PUNCT
ap-7699	1070	22	renormalizability	renormalizability	NOUN
ap-7699	1070	23	,	,	PUNCT
ap-7699	1070	24	super	super	NOUN
ap-7699	1070	25	-	-	NOUN
ap-7699	1070	26	renormalizability	renormalizability	NOUN
ap-7699	1070	27	and	and	CCONJ
ap-7699	1070	28	even	even	ADV
ap-7699	1070	29	uv	uv	NOUN
ap-7699	1070	30	-	-	PUNCT
ap-7699	1070	31	finiteness	finiteness	NOUN
ap-7699	1070	32	)	)	PUNCT
ap-7699	1070	33	.	.	PUNCT
ap-7699	1071	1	with	with	ADP
ap-7699	1071	2	these	these	DET
ap-7699	1071	3	reduced	reduce	VERB
ap-7699	1071	4	models	model	NOUN
ap-7699	1071	5	we	we	PRON
ap-7699	1071	6	are	be	AUX
ap-7699	1071	7	on	on	ADP
ap-7699	1071	8	the	the	DET
ap-7699	1071	9	other	other	ADJ
ap-7699	1071	10	bad	bad	ADJ
ap-7699	1071	11	extreme	extreme	NOUN
ap-7699	1071	12	of	of	ADP
ap-7699	1071	13	vast	vast	ADJ
ap-7699	1071	14	possibilities	possibility	NOUN
ap-7699	1071	15	of	of	ADP
ap-7699	1071	16	qg	qg	PROPN
ap-7699	1071	17	models	model	NOUN
ap-7699	1071	18	.	.	PUNCT
ap-7699	1072	1	but	but	CCONJ
ap-7699	1072	2	seeing	see	VERB
ap-7699	1072	3	them	they	PRON
ap-7699	1072	4	explicitly	explicitly	ADV
ap-7699	1072	5	proves	prove	VERB
ap-7699	1072	6	to	to	ADP
ap-7699	1072	7	us	we	PRON
ap-7699	1072	8	how	how	SCONJ
ap-7699	1072	9	precious	precious	ADJ
ap-7699	1072	10	is	be	AUX
ap-7699	1072	11	the	the	DET
ap-7699	1072	12	renormalizability	renormalizability	NOUN
ap-7699	1072	13	property	property	NOUN
ap-7699	1072	14	and	and	CCONJ
ap-7699	1072	15	why	why	SCONJ
ap-7699	1072	16	we	we	PRON
ap-7699	1072	17	strongly	strongly	ADV
ap-7699	1072	18	need	need	VERB
ap-7699	1072	19	them	they	PRON
ap-7699	1072	20	in	in	ADP
ap-7699	1072	21	hd	hd	NOUN
ap-7699	1072	22	models	model	NOUN
ap-7699	1072	23	of	of	ADP
ap-7699	1072	24	qg	qg	PROPN
ap-7699	1072	25	,	,	PUNCT
ap-7699	1072	26	in	in	ADP
ap-7699	1072	27	particular	particular	ADJ
ap-7699	1072	28	how	how	SCONJ
ap-7699	1072	29	we	we	PRON
ap-7699	1072	30	need	need	VERB
ap-7699	1072	31	super	super	NOUN
ap-7699	1072	32	-	-	NOUN
ap-7699	1072	33	renormalizability	renormalizability	NOUN
ap-7699	1072	34	in	in	ADP
ap-7699	1072	35	six	six	NUM
ap-7699	1072	36	-	-	PUNCT
ap-7699	1072	37	derivative	derivative	ADJ
ap-7699	1072	38	qg	qg	PROPN
ap-7699	1072	39	models	model	NOUN
ap-7699	1072	40	.	.	PUNCT
ap-7699	1073	1	the	the	DET
ap-7699	1073	2	arguments	argument	NOUN
ap-7699	1073	3	above	above	ADP
ap-7699	1073	4	convince	convince	VERB
ap-7699	1073	5	us	we	PRON
ap-7699	1073	6	to	to	PART
ap-7699	1073	7	think	think	VERB
ap-7699	1073	8	that	that	SCONJ
ap-7699	1073	9	there	there	PRON
ap-7699	1073	10	is	be	VERB
ap-7699	1073	11	no	no	DET
ap-7699	1073	12	hope	hope	NOUN
ap-7699	1073	13	to	to	PART
ap-7699	1073	14	get	get	VERB
ap-7699	1073	15	convergent	convergent	ADJ
ap-7699	1073	16	results	result	NOUN
ap-7699	1073	17	for	for	ADP
ap-7699	1073	18	the	the	DET
ap-7699	1073	19	front	front	ADJ
ap-7699	1073	20	coefficient	coefficient	NOUN
ap-7699	1073	21	coming	come	VERB
ap-7699	1073	22	with	with	ADP
ap-7699	1073	23	the	the	DET
ap-7699	1073	24	c2	c2	PROPN
ap-7699	1073	25	counterterm	counterterm	NOUN
ap-7699	1073	26	in	in	ADP
ap-7699	1073	27	the	the	DET
ap-7699	1073	28	uv	uv	NOUN
ap-7699	1073	29	-	-	PUNCT
ap-7699	1073	30	divergent	divergent	ADJ
ap-7699	1073	31	part	part	NOUN
ap-7699	1073	32	of	of	ADP
ap-7699	1073	33	the	the	DET
ap-7699	1073	34	effective	effective	ADJ
ap-7699	1073	35	action	action	NOUN
ap-7699	1073	36	in	in	ADP
ap-7699	1073	37	the	the	DET
ap-7699	1073	38	considered	consider	VERB
ap-7699	1073	39	here	here	ADV
ap-7699	1073	40	model	model	NOUN
ap-7699	1073	41	with	with	ADP
ap-7699	1073	42	the	the	DET
ap-7699	1073	43	only	only	ADJ
ap-7699	1073	44	presence	presence	NOUN
ap-7699	1073	45	of	of	ADP
ap-7699	1073	46	the	the	DET
ap-7699	1073	47	c	c	PROPN
ap-7699	1073	48	□	□	PROPN
ap-7699	1073	49	c	c	PROPN
ap-7699	1073	50	as	as	ADP
ap-7699	1073	51	the	the	DET
ap-7699	1073	52	leading	lead	VERB
ap-7699	1073	53	one	one	NUM
ap-7699	1073	54	in	in	ADP
ap-7699	1073	55	the	the	DET
ap-7699	1073	56	uv	uv	NOUN
ap-7699	1073	57	.	.	PUNCT
ap-7699	1074	1	this	this	PRON
ap-7699	1074	2	may	may	AUX
ap-7699	1074	3	signify	signify	VERB
ap-7699	1074	4	that	that	SCONJ
ap-7699	1074	5	here	here	ADV
ap-7699	1074	6	there	there	PRON
ap-7699	1074	7	exists	exist	VERB
ap-7699	1074	8	another	another	DET
ap-7699	1074	9	uv	uv	NOUN
ap-7699	1074	10	-	-	PUNCT
ap-7699	1074	11	divergent	divergent	ADJ
ap-7699	1074	12	term	term	NOUN
ap-7699	1074	13	(	(	PUNCT
ap-7699	1074	14	perhaps	perhaps	ADV
ap-7699	1074	15	of	of	ADP
ap-7699	1074	16	the	the	DET
ap-7699	1074	17	structure	structure	NOUN
ap-7699	1074	18	like	like	ADP
ap-7699	1074	19	c	c	PROPN
ap-7699	1074	20	□	□	X
ap-7699	1074	21	nc	nc	PROPN
ap-7699	1074	22	)	)	PUNCT
ap-7699	1074	23	,	,	PUNCT
ap-7699	1074	24	which	which	PRON
ap-7699	1074	25	contains	contain	VERB
ap-7699	1074	26	more	more	ADJ
ap-7699	1074	27	derivatives	derivative	NOUN
ap-7699	1074	28	,	,	PUNCT
ap-7699	1074	29	and	and	CCONJ
ap-7699	1074	30	this	this	PRON
ap-7699	1074	31	could	could	AUX
ap-7699	1074	32	be	be	AUX
ap-7699	1074	33	a	a	DET
ap-7699	1074	34	reason	reason	NOUN
ap-7699	1074	35	why	why	SCONJ
ap-7699	1074	36	the	the	DET
ap-7699	1074	37	coefficient	coefficient	NOUN
ap-7699	1074	38	in	in	ADP
ap-7699	1074	39	front	front	NOUN
ap-7699	1074	40	of	of	ADP
ap-7699	1074	41	the	the	DET
ap-7699	1074	42	c2	c2	PROPN
ap-7699	1074	43	term	term	NOUN
ap-7699	1074	44	is	be	AUX
ap-7699	1074	45	itself	itself	PRON
ap-7699	1074	46	a	a	DET
ap-7699	1074	47	divergent	divergent	ADJ
ap-7699	1074	48	one	one	NOUN
ap-7699	1074	49	.	.	PUNCT
ap-7699	1075	1	the	the	DET
ap-7699	1075	2	presence	presence	NOUN
ap-7699	1075	3	of	of	ADP
ap-7699	1075	4	such	such	ADJ
ap-7699	1075	5	new	new	ADJ
ap-7699	1075	6	needed	need	VERB
ap-7699	1075	7	counterterms	counterterm	NOUN
ap-7699	1075	8	with	with	ADP
ap-7699	1075	9	more	more	ADJ
ap-7699	1075	10	derivatives	derivative	NOUN
ap-7699	1075	11	can	can	AUX
ap-7699	1075	12	be	be	AUX
ap-7699	1075	13	motivated	motivate	VERB
ap-7699	1075	14	by	by	ADP
ap-7699	1075	15	the	the	DET
ap-7699	1075	16	analysis	analysis	NOUN
ap-7699	1075	17	of	of	ADP
ap-7699	1075	18	power	power	NOUN
ap-7699	1075	19	counting	counting	NOUN
ap-7699	1075	20	of	of	ADP
ap-7699	1075	21	uv	uv	NOUN
ap-7699	1075	22	divergences	divergence	NOUN
ap-7699	1075	23	in	in	ADP
ap-7699	1075	24	this	this	DET
ap-7699	1075	25	reduced	reduce	VERB
ap-7699	1075	26	unbalanced	unbalanced	ADJ
ap-7699	1075	27	model	model	NOUN
ap-7699	1075	28	,	,	PUNCT
ap-7699	1075	29	which	which	PRON
ap-7699	1075	30	is	be	AUX
ap-7699	1075	31	also	also	ADV
ap-7699	1075	32	presented	present	VERB
ap-7699	1075	33	below	below	ADV
ap-7699	1075	34	.	.	PUNCT
ap-7699	1076	1	even	even	ADV
ap-7699	1076	2	if	if	SCONJ
ap-7699	1076	3	the	the	DET
ap-7699	1076	4	higher	high	ADJ
ap-7699	1076	5	c	c	NOUN
ap-7699	1076	6	□	□	X
ap-7699	1076	7	nc	nc	PROPN
ap-7699	1076	8	type	type	NOUN
ap-7699	1076	9	of	of	ADP
ap-7699	1076	10	uv	uv	NOUN
ap-7699	1076	11	divergence	divergence	NOUN
ap-7699	1076	12	is	be	AUX
ap-7699	1076	13	properly	properly	ADV
ap-7699	1076	14	extracted	extract	VERB
ap-7699	1076	15	and	and	CCONJ
ap-7699	1076	16	taken	take	VERB
ap-7699	1076	17	care	care	NOUN
ap-7699	1076	18	of	of	ADP
ap-7699	1076	19	,	,	PUNCT
ap-7699	1076	20	then	then	ADV
ap-7699	1076	21	we	we	PRON
ap-7699	1076	22	can	can	AUX
ap-7699	1076	23	still	still	ADV
ap-7699	1076	24	be	be	AUX
ap-7699	1076	25	unable	unable	ADJ
ap-7699	1076	26	to	to	PART
ap-7699	1076	27	properly	properly	ADV
ap-7699	1076	28	define	define	VERB
ap-7699	1076	29	and	and	CCONJ
ap-7699	1076	30	see	see	VERB
ap-7699	1076	31	as	as	ADP
ap-7699	1076	32	convergent	convergent	NOUN
ap-7699	1076	33	the	the	DET
ap-7699	1076	34	divergence	divergence	NOUN
ap-7699	1076	35	proportional	proportional	NOUN
ap-7699	1076	36	to	to	ADP
ap-7699	1076	37	the	the	DET
ap-7699	1076	38	four	four	NUM
ap-7699	1076	39	-	-	PUNCT
ap-7699	1076	40	derivative	derivative	ADJ
ap-7699	1076	41	term	term	NOUN
ap-7699	1076	42	c2	c2	PROPN
ap-7699	1076	43	.	.	PUNCT
ap-7699	1077	1	even	even	ADV
ap-7699	1077	2	such	such	DET
ap-7699	1077	3	a	a	DET
ap-7699	1077	4	projection	projection	NOUN
ap-7699	1077	5	of	of	ADP
ap-7699	1077	6	the	the	DET
ap-7699	1077	7	uv	uv	NOUN
ap-7699	1077	8	-	-	PUNCT
ap-7699	1077	9	divergent	divergent	ADJ
ap-7699	1077	10	functional	functional	NOUN
ap-7699	1077	11	of	of	ADP
ap-7699	1077	12	the	the	DET
ap-7699	1077	13	theory	theory	NOUN
ap-7699	1077	14	onto	onto	ADP
ap-7699	1077	15	the	the	DET
ap-7699	1077	16	sector	sector	NOUN
ap-7699	1077	17	with	with	ADP
ap-7699	1077	18	only	only	ADV
ap-7699	1077	19	c2	c2	PROPN
ap-7699	1077	20	terms	term	NOUN
ap-7699	1077	21	will	will	AUX
ap-7699	1077	22	not	not	PART
ap-7699	1077	23	help	help	VERB
ap-7699	1077	24	here	here	ADV
ap-7699	1077	25	in	in	ADP
ap-7699	1077	26	giving	give	VERB
ap-7699	1077	27	sense	sense	NOUN
ap-7699	1077	28	to	to	ADP
ap-7699	1077	29	pure	pure	ADJ
ap-7699	1077	30	c2	c2	PROPN
ap-7699	1077	31	divergences	divergence	NOUN
ap-7699	1077	32	in	in	ADP
ap-7699	1077	33	this	this	DET
ap-7699	1077	34	limiting	limit	VERB
ap-7699	1077	35	model	model	NOUN
ap-7699	1077	36	.	.	PUNCT
ap-7699	1078	1	however	however	ADV
ap-7699	1078	2	,	,	PUNCT
ap-7699	1078	3	this	this	DET
ap-7699	1078	4	remark	remark	NOUN
ap-7699	1078	5	does	do	AUX
ap-7699	1078	6	not	not	PART
ap-7699	1078	7	need	need	VERB
ap-7699	1078	8	necessarily	necessarily	ADV
ap-7699	1078	9	to	to	PART
ap-7699	1078	10	apply	apply	VERB
ap-7699	1078	11	to	to	ADP
ap-7699	1078	12	coefficients	coefficient	NOUN
ap-7699	1078	13	in	in	ADP
ap-7699	1078	14	front	front	NOUN
ap-7699	1078	15	of	of	ADP
ap-7699	1078	16	divergent	divergent	ADJ
ap-7699	1078	17	terms	term	NOUN
ap-7699	1078	18	of	of	ADP
ap-7699	1078	19	the	the	DET
ap-7699	1078	20	type	type	NOUN
ap-7699	1078	21	r2	r2	NOUN
ap-7699	1078	22	and	and	CCONJ
ap-7699	1078	23	gb	gb	NOUN
ap-7699	1078	24	.	.	PUNCT
ap-7699	1079	1	they	they	PRON
ap-7699	1079	2	may	may	AUX
ap-7699	1079	3	still	still	ADV
ap-7699	1079	4	end	end	VERB
ap-7699	1079	5	up	up	ADP
ap-7699	1079	6	with	with	ADP
ap-7699	1079	7	some	some	DET
ap-7699	1079	8	finite	finite	ADJ
ap-7699	1079	9	definite	definite	ADJ
ap-7699	1079	10	values	value	NOUN
ap-7699	1079	11	for	for	ADP
ap-7699	1079	12	this	this	DET
ap-7699	1079	13	model	model	NOUN
ap-7699	1079	14	,	,	PUNCT
ap-7699	1079	15	but	but	CCONJ
ap-7699	1079	16	probably	probably	ADV
ap-7699	1079	17	they	they	PRON
ap-7699	1079	18	are	be	AUX
ap-7699	1079	19	not	not	PART
ap-7699	1079	20	the	the	DET
ap-7699	1079	21	same	same	ADJ
ap-7699	1079	22	as	as	ADP
ap-7699	1079	23	the	the	DET
ap-7699	1079	24	coefficients	coefficient	NOUN
ap-7699	1079	25	b0	b0	NOUN
ap-7699	1079	26	of	of	ADP
ap-7699	1079	27	these	these	DET
ap-7699	1079	28	terms	term	NOUN
ap-7699	1079	29	from	from	ADP
ap-7699	1079	30	(	(	PUNCT
ap-7699	1079	31	51	51	NUM
ap-7699	1079	32	)	)	PUNCT
ap-7699	1079	33	,	,	PUNCT
ap-7699	1079	34	so	so	SCONJ
ap-7699	1079	35	we	we	PRON
ap-7699	1079	36	could	could	AUX
ap-7699	1079	37	be	be	AUX
ap-7699	1079	38	able	able	ADJ
ap-7699	1079	39	to	to	PART
ap-7699	1079	40	see	see	VERB
ap-7699	1079	41	here	here	ADV
ap-7699	1079	42	another	another	DET
ap-7699	1079	43	discontinuity	discontinuity	NOUN
ap-7699	1079	44	in	in	ADP
ap-7699	1079	45	taking	take	VERB
ap-7699	1079	46	the	the	DET
ap-7699	1079	47	limit	limit	NOUN
ap-7699	1079	48	x	x	PUNCT
ap-7699	1080	1	→	→	SYM
ap-7699	1080	2	+	+	ADJ
ap-7699	1080	3	∞.	∞.	PROPN
ap-7699	1080	4	on	on	ADP
ap-7699	1080	5	the	the	DET
ap-7699	1080	6	other	other	ADJ
ap-7699	1080	7	hand	hand	NOUN
ap-7699	1080	8	,	,	PUNCT
ap-7699	1080	9	for	for	ADP
ap-7699	1080	10	the	the	DET
ap-7699	1080	11	strictly	strictly	ADV
ap-7699	1080	12	nonrenormalizable	nonrenormalizable	ADJ
ap-7699	1080	13	theory	theory	NOUN
ap-7699	1080	14	with	with	ADP
ap-7699	1080	15	the	the	DET
ap-7699	1080	16	leading	leading	NOUN
ap-7699	1080	17	in	in	ADP
ap-7699	1080	18	the	the	DET
ap-7699	1080	19	uv	uv	NOUN
ap-7699	1080	20	term	term	NOUN
ap-7699	1080	21	r	r	NOUN
ap-7699	1080	22	□	□	NOUN
ap-7699	1080	23	r	r	NOUN
ap-7699	1080	24	we	we	PRON
ap-7699	1080	25	can	can	AUX
ap-7699	1080	26	have	have	VERB
ap-7699	1080	27	additions	addition	NOUN
ap-7699	1080	28	of	of	ADP
ap-7699	1080	29	similar	similar	ADJ
ap-7699	1080	30	various	various	ADJ
ap-7699	1080	31	subleading	subleading	ADJ
ap-7699	1080	32	terms	term	NOUN
ap-7699	1080	33	which	which	PRON
ap-7699	1080	34	do	do	AUX
ap-7699	1080	35	not	not	PART
ap-7699	1080	36	change	change	VERB
ap-7699	1080	37	the	the	DET
ap-7699	1080	38	fact	fact	NOUN
ap-7699	1080	39	of	of	ADP
ap-7699	1080	40	nonrenormalizability	nonrenormalizability	NOUN
ap-7699	1080	41	.	.	PUNCT
ap-7699	1081	1	we	we	PRON
ap-7699	1081	2	can	can	AUX
ap-7699	1081	3	add	add	VERB
ap-7699	1081	4	terms	term	NOUN
ap-7699	1081	5	(	(	PUNCT
ap-7699	1081	6	separately	separately	ADV
ap-7699	1081	7	or	or	CCONJ
ap-7699	1081	8	in	in	ADP
ap-7699	1081	9	conjunction	conjunction	NOUN
ap-7699	1081	10	)	)	PUNCT
ap-7699	1081	11	of	of	ADP
ap-7699	1081	12	the	the	DET
ap-7699	1081	13	following	follow	VERB
ap-7699	1081	14	types	type	NOUN
ap-7699	1081	15	:	:	PUNCT
ap-7699	1081	16	ωλ	ωλ	ADJ
ap-7699	1081	17	,	,	PUNCT
ap-7699	1081	18	r	r	NOUN
ap-7699	1081	19	,	,	PUNCT
ap-7699	1081	20	r2	r2	NOUN
ap-7699	1081	21	,	,	PUNCT
ap-7699	1081	22	or	or	CCONJ
ap-7699	1081	23	c2	c2	PROPN
ap-7699	1081	24	.	.	PUNCT
ap-7699	1082	1	the	the	DET
ap-7699	1082	2	uv	uv	NOUN
ap-7699	1082	3	-	-	PUNCT
ap-7699	1082	4	leading	lead	VERB
ap-7699	1082	5	part	part	NOUN
ap-7699	1082	6	of	of	ADP
ap-7699	1082	7	the	the	DET
ap-7699	1082	8	hessian	hessian	NOUN
ap-7699	1082	9	still	still	ADV
ap-7699	1082	10	is	be	AUX
ap-7699	1082	11	not	not	PART
ap-7699	1082	12	welldefined	welldefine	VERB
ap-7699	1082	13	as	as	SCONJ
ap-7699	1082	14	it	it	PRON
ap-7699	1082	15	should	should	AUX
ap-7699	1082	16	contain	contain	VERB
ap-7699	1082	17	six	six	NUM
ap-7699	1082	18	-	-	PUNCT
ap-7699	1082	19	derivative	derivative	ADJ
ap-7699	1082	20	differential	differential	NOUN
ap-7699	1082	21	operator	operator	NOUN
ap-7699	1082	22	understood	understand	VERB
ap-7699	1082	23	on	on	ADP
ap-7699	1082	24	flat	flat	ADJ
ap-7699	1082	25	spacetime	spacetime	NOUN
ap-7699	1082	26	and	and	CCONJ
ap-7699	1082	27	between	between	ADP
ap-7699	1082	28	tensorial	tensorial	ADJ
ap-7699	1082	29	fluctuations	fluctuation	NOUN
ap-7699	1082	30	,	,	PUNCT
ap-7699	1082	31	while	while	SCONJ
ap-7699	1082	32	from	from	ADP
ap-7699	1082	33	the	the	DET
ap-7699	1082	34	term	term	NOUN
ap-7699	1082	35	r	r	NOUN
ap-7699	1082	36	□	□	NOUN
ap-7699	1082	37	r	r	NOUN
ap-7699	1082	38	we	we	PRON
ap-7699	1082	39	get	get	VERB
ap-7699	1082	40	only	only	ADV
ap-7699	1082	41	operator	operator	NOUN
ap-7699	1082	42	between	between	ADP
ap-7699	1082	43	traces	trace	NOUN
ap-7699	1082	44	of	of	ADP
ap-7699	1082	45	metric	metric	ADJ
ap-7699	1082	46	fluctuations	fluctuation	NOUN
ap-7699	1082	47	h	h	NOUN
ap-7699	1083	1	=	=	PUNCT
ap-7699	1083	2	ηµνhµν	ηµνhµν	NOUN
ap-7699	1083	3	(	(	PUNCT
ap-7699	1083	4	between	between	ADP
ap-7699	1083	5	spin-0	spin-0	NUM
ap-7699	1083	6	parts	part	NOUN
ap-7699	1083	7	)	)	PUNCT
ap-7699	1083	8	,	,	PUNCT
ap-7699	1083	9	so	so	ADV
ap-7699	1083	10	derived	derive	VERB
ap-7699	1083	11	from	from	ADP
ap-7699	1083	12	the	the	DET
ap-7699	1083	13	terms	term	NOUN
ap-7699	1083	14	quadratic	quadratic	ADJ
ap-7699	1083	15	in	in	ADP
ap-7699	1083	16	curvatures	curvature	NOUN
ap-7699	1083	17	present	present	ADJ
ap-7699	1083	18	in	in	ADP
ap-7699	1083	19	the	the	DET
ap-7699	1083	20	uv	uv	NOUN
ap-7699	1083	21	regime	regime	NOUN
ap-7699	1083	22	.	.	PUNCT
ap-7699	1084	1	probably	probably	ADV
ap-7699	1084	2	the	the	DET
ap-7699	1084	3	degeneracy	degeneracy	NOUN
ap-7699	1084	4	of	of	ADP
ap-7699	1084	5	the	the	DET
ap-7699	1084	6	hessian	hessian	ADJ
ap-7699	1084	7	operator	operator	NOUN
ap-7699	1084	8	can	can	AUX
ap-7699	1084	9	be	be	AUX
ap-7699	1084	10	easily	easily	ADV
ap-7699	1084	11	lifted	lift	VERB
ap-7699	1084	12	out	out	ADP
ap-7699	1084	13	,	,	PUNCT
ap-7699	1084	14	if	if	SCONJ
ap-7699	1084	15	we	we	PRON
ap-7699	1084	16	add	add	VERB
ap-7699	1084	17	one	one	NUM
ap-7699	1084	18	of	of	ADP
ap-7699	1084	19	the	the	DET
ap-7699	1084	20	ωλ	ωλ	ADJ
ap-7699	1084	21	,	,	PUNCT
ap-7699	1084	22	or	or	CCONJ
ap-7699	1084	23	r	r	NOUN
ap-7699	1084	24	or	or	CCONJ
ap-7699	1084	25	c2	c2	PROPN
ap-7699	1084	26	terms	term	NOUN
ap-7699	1084	27	.	.	PUNCT
ap-7699	1085	1	if	if	SCONJ
ap-7699	1085	2	only	only	ADV
ap-7699	1085	3	the	the	DET
ap-7699	1085	4	r2	r2	NOUN
ap-7699	1085	5	term	term	NOUN
ap-7699	1085	6	is	be	AUX
ap-7699	1085	7	added	add	VERB
ap-7699	1085	8	,	,	PUNCT
ap-7699	1085	9	then	then	ADV
ap-7699	1085	10	the	the	DET
ap-7699	1085	11	hessian	hessian	NOUN
ap-7699	1085	12	still	still	ADV
ap-7699	1085	13	is	be	AUX
ap-7699	1085	14	degenerate	degenerate	ADJ
ap-7699	1085	15	.	.	PUNCT
ap-7699	1086	1	similarly	similarly	ADV
ap-7699	1086	2	,	,	PUNCT
ap-7699	1086	3	the	the	DET
ap-7699	1086	4	flat	flat	ADJ
ap-7699	1086	5	spacetime	spacetime	NOUN
ap-7699	1086	6	propagator	propagator	NOUN
ap-7699	1086	7	can	can	AUX
ap-7699	1086	8	be	be	AUX
ap-7699	1086	9	defined	define	VERB
ap-7699	1086	10	only	only	ADV
ap-7699	1086	11	if	if	SCONJ
ap-7699	1086	12	we	we	PRON
ap-7699	1086	13	make	make	VERB
ap-7699	1086	14	addition	addition	NOUN
ap-7699	1086	15	of	of	ADP
ap-7699	1086	16	ωλ	ωλ	ADJ
ap-7699	1086	17	,	,	PUNCT
ap-7699	1086	18	or	or	CCONJ
ap-7699	1086	19	r	r	NOUN
ap-7699	1086	20	or	or	CCONJ
ap-7699	1086	21	c2	c2	PROPN
ap-7699	1086	22	terms	term	NOUN
ap-7699	1086	23	–	–	PUNCT
ap-7699	1086	24	this	this	PRON
ap-7699	1086	25	is	be	AUX
ap-7699	1086	26	because	because	SCONJ
ap-7699	1086	27	of	of	ADP
ap-7699	1086	28	the	the	DET
ap-7699	1086	29	problematic	problematic	ADJ
ap-7699	1086	30	part	part	NOUN
ap-7699	1086	31	of	of	ADP
ap-7699	1086	32	it	it	PRON
ap-7699	1086	33	proportional	proportional	ADJ
ap-7699	1086	34	to	to	ADP
ap-7699	1086	35	the	the	DET
ap-7699	1086	36	projector	projector	NOUN
ap-7699	1086	37	p	p	NOUN
ap-7699	1086	38	(	(	PUNCT
ap-7699	1086	39	2	2	NUM
ap-7699	1086	40	)	)	PUNCT
ap-7699	1086	41	which	which	PRON
ap-7699	1086	42	must	must	AUX
ap-7699	1086	43	for	for	ADP
ap-7699	1086	44	the	the	DET
ap-7699	1086	45	consistency	consistency	NOUN
ap-7699	1086	46	of	of	ADP
ap-7699	1086	47	the	the	DET
ap-7699	1086	48	inverting	inverting	NOUN
ap-7699	1086	49	procedure	procedure	NOUN
ap-7699	1086	50	for	for	ADP
ap-7699	1086	51	the	the	DET
ap-7699	1086	52	whole	whole	ADJ
ap-7699	1086	53	propagator	propagator	NOUN
ap-7699	1086	54	be	be	AUX
ap-7699	1086	55	non	non	ADJ
ap-7699	1086	56	-	-	ADJ
ap-7699	1086	57	zero	zero	NUM
ap-7699	1086	58	.	.	PUNCT
ap-7699	1087	1	this	this	DET
ap-7699	1087	2	tensorial	tensorial	ADJ
ap-7699	1087	3	part	part	NOUN
ap-7699	1087	4	(	(	PUNCT
ap-7699	1087	5	spin-2	spin-2	NUM
ap-7699	1087	6	part	part	NOUN
ap-7699	1087	7	)	)	PUNCT
ap-7699	1087	8	is	be	AUX
ap-7699	1087	9	sourced	source	VERB
ap-7699	1087	10	exclusively	exclusively	ADV
ap-7699	1087	11	from	from	ADP
ap-7699	1087	12	any	any	DET
ap-7699	1087	13	gr	gr	ADJ
ap-7699	1087	14	-	-	PUNCT
ap-7699	1087	15	invariant	invariant	ADJ
ap-7699	1087	16	term	term	NOUN
ap-7699	1087	17	built	build	VERB
ap-7699	1087	18	out	out	ADP
ap-7699	1087	19	with	with	ADP
ap-7699	1087	20	weyl	weyl	VERB
ap-7699	1087	21	tensors	tensor	NOUN
ap-7699	1087	22	in	in	ADP
ap-7699	1087	23	adopted	adopt	VERB
ap-7699	1087	24	here	here	ADV
ap-7699	1087	25	weyl	weyl	VERB
ap-7699	1087	26	basis	basis	NOUN
ap-7699	1087	27	of	of	ADP
ap-7699	1087	28	terms	term	NOUN
ap-7699	1087	29	or	or	CCONJ
ap-7699	1087	30	from	from	ADP
ap-7699	1087	31	the	the	DET
ap-7699	1087	32	e	e	PROPN
ap-7699	1087	33	-	-	ADJ
ap-7699	1087	34	h	h	ADJ
ap-7699	1087	35	term	term	NOUN
ap-7699	1087	36	or	or	CCONJ
ap-7699	1087	37	from	from	ADP
ap-7699	1087	38	the	the	DET
ap-7699	1087	39	cosmological	cosmological	ADJ
ap-7699	1087	40	constant	constant	ADJ
ap-7699	1087	41	term	term	NOUN
ap-7699	1087	42	.	.	PUNCT
ap-7699	1088	1	if	if	SCONJ
ap-7699	1088	2	only	only	ADV
ap-7699	1088	3	the	the	DET
ap-7699	1088	4	r2	r2	NOUN
ap-7699	1088	5	term	term	NOUN
ap-7699	1088	6	is	be	AUX
ap-7699	1088	7	added	add	VERB
ap-7699	1088	8	,	,	PUNCT
ap-7699	1088	9	then	then	ADV
ap-7699	1088	10	the	the	DET
ap-7699	1088	11	propagator	propagator	NOUN
ap-7699	1088	12	still	still	ADV
ap-7699	1088	13	is	be	AUX
ap-7699	1088	14	ill	ill	ADV
ap-7699	1088	15	-	-	PUNCT
ap-7699	1088	16	defined	define	VERB
ap-7699	1088	17	.	.	PUNCT
ap-7699	1089	1	still	still	ADV
ap-7699	1089	2	these	these	DET
ap-7699	1089	3	additions	addition	NOUN
ap-7699	1089	4	do	do	AUX
ap-7699	1089	5	not	not	PART
ap-7699	1089	6	change	change	VERB
ap-7699	1089	7	the	the	DET
ap-7699	1089	8	fact	fact	NOUN
ap-7699	1089	9	that	that	SCONJ
ap-7699	1089	10	the	the	DET
ap-7699	1089	11	theory	theory	NOUN
ap-7699	1089	12	is	be	AUX
ap-7699	1089	13	formally	formally	ADV
ap-7699	1089	14	non	non	ADJ
ap-7699	1089	15	-	-	ADJ
ap-7699	1089	16	renormalizable	renormalizable	ADJ
ap-7699	1089	17	,	,	PUNCT
ap-7699	1089	18	if	if	SCONJ
ap-7699	1089	19	there	there	PRON
ap-7699	1089	20	is	be	VERB
ap-7699	1089	21	not	not	PART
ap-7699	1089	22	an	an	DET
ap-7699	1089	23	accompanying	accompanying	ADJ
ap-7699	1089	24	six	six	NUM
ap-7699	1089	25	-	-	PUNCT
ap-7699	1089	26	derivative	derivative	ADJ
ap-7699	1089	27	term	term	NOUN
ap-7699	1089	28	of	of	ADP
ap-7699	1089	29	the	the	DET
ap-7699	1089	30	form	form	NOUN
ap-7699	1089	31	c	c	X
ap-7699	1089	32	□	□	PROPN
ap-7699	1089	33	c.	c.	NOUN
ap-7699	1089	34	as	as	ADP
ap-7699	1089	35	for	for	ADP
ap-7699	1089	36	the	the	DET
ap-7699	1089	37	final	final	ADJ
ap-7699	1089	38	results	result	NOUN
ap-7699	1089	39	for	for	ADP
ap-7699	1089	40	uv	uv	NOUN
ap-7699	1089	41	divergences	divergence	NOUN
ap-7699	1089	42	in	in	ADP
ap-7699	1089	43	these	these	DET
ap-7699	1089	44	extended	extended	ADJ
ap-7699	1089	45	models	model	NOUN
ap-7699	1089	46	,	,	PUNCT
ap-7699	1089	47	naively	naively	ADV
ap-7699	1089	48	one	one	PRON
ap-7699	1089	49	would	would	AUX
ap-7699	1089	50	think	think	VERB
ap-7699	1089	51	that	that	SCONJ
ap-7699	1089	52	there	there	PRON
ap-7699	1089	53	are	be	VERB
ap-7699	1089	54	no	no	DET
ap-7699	1089	55	new	new	ADJ
ap-7699	1089	56	uv	uv	NOUN
ap-7699	1089	57	divergences	divergence	NOUN
ap-7699	1089	58	proportional	proportional	ADJ
ap-7699	1089	59	to	to	ADP
ap-7699	1089	60	terms	term	NOUN
ap-7699	1089	61	with	with	ADP
ap-7699	1089	62	four	four	NUM
ap-7699	1089	63	derivatives	derivative	NOUN
ap-7699	1089	64	of	of	ADP
ap-7699	1089	65	the	the	DET
ap-7699	1089	66	metric	metric	ADJ
ap-7699	1089	67	(	(	PUNCT
ap-7699	1089	68	namely	namely	ADV
ap-7699	1089	69	to	to	ADP
ap-7699	1089	70	terms	term	NOUN
ap-7699	1089	71	r2	r2	PROPN
ap-7699	1089	72	,	,	PUNCT
ap-7699	1089	73	c2	c2	PROPN
ap-7699	1089	74	and	and	CCONJ
ap-7699	1089	75	gb	gb	NOUN
ap-7699	1089	76	)	)	PUNCT
ap-7699	1089	77	,	,	PUNCT
ap-7699	1089	78	because	because	SCONJ
ap-7699	1089	79	of	of	ADP
ap-7699	1089	80	the	the	DET
ap-7699	1089	81	limit	limit	NOUN
ap-7699	1089	82	ωc	ωc	INTJ
ap-7699	1089	83	→	→	SYM
ap-7699	1089	84	0	0	NUM
ap-7699	1089	85	and	and	CCONJ
ap-7699	1089	86	the	the	DET
ap-7699	1089	87	dependence	dependence	NOUN
ap-7699	1089	88	on	on	ADP
ap-7699	1089	89	the	the	DET
ap-7699	1089	90	x	x	NOUN
ap-7699	1089	91	ratio	ratio	NOUN
ap-7699	1089	92	in	in	ADP
ap-7699	1089	93	(	(	PUNCT
ap-7699	1089	94	33	33	NUM
ap-7699	1089	95	)	)	PUNCT
ap-7699	1089	96	in	in	ADP
ap-7699	1089	97	the	the	DET
ap-7699	1089	98	linear	linear	ADJ
ap-7699	1089	99	way	way	NOUN
ap-7699	1089	100	.	.	PUNCT
ap-7699	1090	1	we	we	PRON
ap-7699	1090	2	would	would	AUX
ap-7699	1090	3	naively	naively	ADV
ap-7699	1090	4	think	think	VERB
ap-7699	1090	5	that	that	SCONJ
ap-7699	1090	6	divergences	divergence	NOUN
ap-7699	1090	7	with	with	ADP
ap-7699	1090	8	r2	r2	PROPN
ap-7699	1090	9	and	and	CCONJ
ap-7699	1090	10	gb	gb	PROPN
ap-7699	1090	11	terms	term	NOUN
ap-7699	1090	12	are	be	AUX
ap-7699	1090	13	the	the	DET
ap-7699	1090	14	same	same	ADJ
ap-7699	1090	15	as	as	ADP
ap-7699	1090	16	in	in	ADP
ap-7699	1090	17	(	(	PUNCT
ap-7699	1090	18	33	33	NUM
ap-7699	1090	19	)	)	PUNCT
ap-7699	1090	20	.	.	PUNCT
ap-7699	1091	1	the	the	DET
ap-7699	1091	2	only	only	ADJ
ap-7699	1091	3	problematic	problematic	ADJ
ap-7699	1091	4	one	one	PRON
ap-7699	1091	5	could	could	AUX
ap-7699	1091	6	be	be	AUX
ap-7699	1091	7	this	this	DET
ap-7699	1091	8	proportional	proportional	NOUN
ap-7699	1091	9	to	to	ADP
ap-7699	1091	10	the	the	DET
ap-7699	1091	11	c2	c2	PROPN
ap-7699	1091	12	term	term	NOUN
ap-7699	1091	13	since	since	SCONJ
ap-7699	1091	14	the	the	DET
ap-7699	1091	15	limit	limit	NOUN
ap-7699	1091	16	gives	give	VERB
ap-7699	1091	17	already	already	ADV
ap-7699	1091	18	constant	constant	ADJ
ap-7699	1091	19	result	result	NOUN
ap-7699	1091	20	,	,	PUNCT
ap-7699	1091	21	namely	namely	ADV
ap-7699	1091	22	the	the	DET
ap-7699	1091	23	b0	b0	NOUN
ap-7699	1091	24	coefficient	coefficient	NOUN
ap-7699	1091	25	.	.	PUNCT
ap-7699	1092	1	since	since	SCONJ
ap-7699	1092	2	the	the	DET
ap-7699	1092	3	model	model	NOUN
ap-7699	1092	4	is	be	AUX
ap-7699	1092	5	non	non	ADJ
ap-7699	1092	6	-	-	ADJ
ap-7699	1092	7	renormalizable	renormalizable	ADJ
ap-7699	1092	8	we	we	PRON
ap-7699	1092	9	can	can	AUX
ap-7699	1092	10	not	not	PART
ap-7699	1092	11	trust	trust	VERB
ap-7699	1092	12	this	this	DET
ap-7699	1092	13	computation	computation	NOUN
ap-7699	1092	14	and	and	CCONJ
ap-7699	1092	15	these	these	DET
ap-7699	1092	16	limits	limit	NOUN
ap-7699	1092	17	at	at	ADP
ap-7699	1092	18	the	the	DET
ap-7699	1092	19	147	147	NUM
ap-7699	1092	20	lesław	lesław	NOUN
ap-7699	1092	21	rachwał	rachwał	PROPN
ap-7699	1092	22	acta	acta	PROPN
ap-7699	1092	23	polytechnica	polytechnica	PROPN
ap-7699	1092	24	end	end	NOUN
ap-7699	1092	25	,	,	PUNCT
ap-7699	1092	26	even	even	ADV
ap-7699	1092	27	if	if	SCONJ
ap-7699	1092	28	they	they	PRON
ap-7699	1092	29	give	give	VERB
ap-7699	1092	30	here	here	ADV
ap-7699	1092	31	convergent	convergent	NOUN
ap-7699	1092	32	results	result	NOUN
ap-7699	1092	33	.	.	PUNCT
ap-7699	1093	1	but	but	CCONJ
ap-7699	1093	2	this	this	PRON
ap-7699	1093	3	probably	probably	ADV
ap-7699	1093	4	means	mean	VERB
ap-7699	1093	5	that	that	SCONJ
ap-7699	1093	6	we	we	PRON
ap-7699	1093	7	can	can	AUX
ap-7699	1093	8	not	not	PART
ap-7699	1093	9	sensibly	sensibly	ADV
ap-7699	1093	10	define	define	VERB
ap-7699	1093	11	the	the	DET
ap-7699	1093	12	c2	c2	PROPN
ap-7699	1093	13	counterterm	counterterm	NOUN
ap-7699	1093	14	needed	need	VERB
ap-7699	1093	15	for	for	ADP
ap-7699	1093	16	the	the	DET
ap-7699	1093	17	renormalization	renormalization	NOUN
ap-7699	1093	18	of	of	ADP
ap-7699	1093	19	these	these	DET
ap-7699	1093	20	theories	theory	NOUN
ap-7699	1093	21	.	.	PUNCT
ap-7699	1094	1	when	when	SCONJ
ap-7699	1094	2	we	we	PRON
ap-7699	1094	3	include	include	VERB
ap-7699	1094	4	additions	addition	NOUN
ap-7699	1094	5	to	to	ADP
ap-7699	1094	6	the	the	DET
ap-7699	1094	7	action	action	NOUN
ap-7699	1094	8	,	,	PUNCT
ap-7699	1094	9	which	which	PRON
ap-7699	1094	10	remove	remove	VERB
ap-7699	1094	11	the	the	DET
ap-7699	1094	12	degeneracy	degeneracy	NOUN
ap-7699	1094	13	of	of	ADP
ap-7699	1094	14	the	the	DET
ap-7699	1094	15	flat	flat	ADJ
ap-7699	1094	16	spacetime	spacetime	NOUN
ap-7699	1094	17	graviton	graviton	PROPN
ap-7699	1094	18	’s	’s	PART
ap-7699	1094	19	propagator	propagator	NOUN
ap-7699	1094	20	,	,	PUNCT
ap-7699	1094	21	then	then	ADV
ap-7699	1094	22	at	at	ADP
ap-7699	1094	23	least	least	ADJ
ap-7699	1094	24	the	the	DET
ap-7699	1094	25	perturbative	perturbative	ADJ
ap-7699	1094	26	computation	computation	NOUN
ap-7699	1094	27	using	use	VERB
ap-7699	1094	28	feynman	feynman	PROPN
ap-7699	1094	29	diagrams	diagram	NOUN
ap-7699	1094	30	can	can	AUX
ap-7699	1094	31	be	be	AUX
ap-7699	1094	32	attempted	attempt	VERB
ap-7699	1094	33	in	in	ADP
ap-7699	1094	34	such	such	DET
ap-7699	1094	35	a	a	DET
ap-7699	1094	36	theory	theory	NOUN
ap-7699	1094	37	.	.	PUNCT
ap-7699	1095	1	although	although	SCONJ
ap-7699	1095	2	of	of	ADP
ap-7699	1095	3	course	course	NOUN
ap-7699	1095	4	,	,	PUNCT
ap-7699	1095	5	in	in	ADP
ap-7699	1095	6	this	this	DET
ap-7699	1095	7	case	case	NOUN
ap-7699	1095	8	the	the	DET
ap-7699	1095	9	different	different	ADJ
ap-7699	1095	10	parts	part	NOUN
ap-7699	1095	11	of	of	ADP
ap-7699	1095	12	the	the	DET
ap-7699	1095	13	propagator	propagator	NOUN
ap-7699	1095	14	have	have	VERB
ap-7699	1095	15	different	different	ADJ
ap-7699	1095	16	uv	uv	NOUN
ap-7699	1095	17	scalings	scaling	NOUN
ap-7699	1095	18	,	,	PUNCT
ap-7699	1095	19	so	so	SCONJ
ap-7699	1095	20	the	the	DET
ap-7699	1095	21	situation	situation	NOUN
ap-7699	1095	22	for	for	ADP
ap-7699	1095	23	one	one	NUM
ap-7699	1095	24	-	-	PUNCT
ap-7699	1095	25	loop	loop	NOUN
ap-7699	1095	26	integrals	integral	NOUN
ap-7699	1095	27	is	be	AUX
ap-7699	1095	28	a	a	DET
ap-7699	1095	29	bit	bit	NOUN
ap-7699	1095	30	unbalanced	unbalanced	ADJ
ap-7699	1095	31	and	and	CCONJ
ap-7699	1095	32	there	there	PRON
ap-7699	1095	33	is	be	VERB
ap-7699	1095	34	not	not	PART
ap-7699	1095	35	a	a	DET
ap-7699	1095	36	stable	stable	ADJ
ap-7699	1095	37	control	control	NOUN
ap-7699	1095	38	over	over	ADP
ap-7699	1095	39	perturbative	perturbative	ADJ
ap-7699	1095	40	uv	uv	NOUN
ap-7699	1095	41	divergences	divergence	NOUN
ap-7699	1095	42	,	,	PUNCT
ap-7699	1095	43	when	when	SCONJ
ap-7699	1095	44	for	for	ADP
ap-7699	1095	45	example	example	NOUN
ap-7699	1095	46	one	one	NUM
ap-7699	1095	47	goes	go	VERB
ap-7699	1095	48	to	to	ADP
ap-7699	1095	49	the	the	DET
ap-7699	1095	50	higher	high	ADJ
ap-7699	1095	51	loop	loop	NOUN
ap-7699	1095	52	orders	order	NOUN
ap-7699	1095	53	.	.	PUNCT
ap-7699	1096	1	probably	probably	ADV
ap-7699	1096	2	new	new	ADJ
ap-7699	1096	3	counterterms	counterterm	NOUN
ap-7699	1096	4	(	(	PUNCT
ap-7699	1096	5	with	with	ADP
ap-7699	1096	6	even	even	ADV
ap-7699	1096	7	higher	high	ADJ
ap-7699	1096	8	number	number	NOUN
ap-7699	1096	9	of	of	ADP
ap-7699	1096	10	derivatives	derivative	NOUN
ap-7699	1096	11	)	)	PUNCT
ap-7699	1096	12	will	will	AUX
ap-7699	1096	13	be	be	AUX
ap-7699	1096	14	at	at	ADP
ap-7699	1096	15	need	need	NOUN
ap-7699	1096	16	here	here	ADV
ap-7699	1096	17	.	.	PUNCT
ap-7699	1097	1	making	make	VERB
ap-7699	1097	2	additions	addition	NOUN
ap-7699	1097	3	of	of	ADP
ap-7699	1097	4	some	some	DET
ap-7699	1097	5	subleading	subleading	ADJ
ap-7699	1097	6	terms	term	NOUN
ap-7699	1097	7	from	from	ADP
ap-7699	1097	8	the	the	DET
ap-7699	1097	9	point	point	NOUN
ap-7699	1097	10	of	of	ADP
ap-7699	1097	11	view	view	NOUN
ap-7699	1097	12	of	of	ADP
ap-7699	1097	13	the	the	DET
ap-7699	1097	14	uv	uv	NOUN
ap-7699	1097	15	regime	regime	NOUN
ap-7699	1097	16	,	,	PUNCT
ap-7699	1097	17	may	may	AUX
ap-7699	1097	18	help	help	VERB
ap-7699	1097	19	in	in	ADP
ap-7699	1097	20	defining	define	VERB
ap-7699	1097	21	the	the	DET
ap-7699	1097	22	unbalanced	unbalanced	ADJ
ap-7699	1097	23	perturbative	perturbative	ADJ
ap-7699	1097	24	propagator	propagator	NOUN
ap-7699	1097	25	,	,	PUNCT
ap-7699	1097	26	but	but	CCONJ
ap-7699	1097	27	still	still	ADV
ap-7699	1097	28	one	one	NUM
ap-7699	1097	29	expects	expect	VERB
ap-7699	1097	30	(	(	PUNCT
ap-7699	1097	31	due	due	ADP
ap-7699	1097	32	to	to	ADP
ap-7699	1097	33	energy	energy	NOUN
ap-7699	1097	34	dimension	dimension	NOUN
ap-7699	1097	35	considerations	consideration	NOUN
ap-7699	1097	36	)	)	PUNCT
ap-7699	1097	37	that	that	SCONJ
ap-7699	1097	38	these	these	DET
ap-7699	1097	39	additions	addition	NOUN
ap-7699	1097	40	do	do	AUX
ap-7699	1097	41	not	not	PART
ap-7699	1097	42	at	at	ADV
ap-7699	1097	43	all	all	ADV
ap-7699	1097	44	influence	influence	NOUN
ap-7699	1097	45	the	the	DET
ap-7699	1097	46	quantitative	quantitative	ADJ
ap-7699	1097	47	form	form	NOUN
ap-7699	1097	48	of	of	ADP
ap-7699	1097	49	uv	uv	NOUN
ap-7699	1097	50	divergences	divergence	NOUN
ap-7699	1097	51	with	with	ADP
ap-7699	1097	52	four	four	NUM
ap-7699	1097	53	-	-	PUNCT
ap-7699	1097	54	derivative	derivative	ADJ
ap-7699	1097	55	terms	term	NOUN
ap-7699	1097	56	,	,	PUNCT
ap-7699	1097	57	so	so	SCONJ
ap-7699	1097	58	these	these	DET
ap-7699	1097	59	ones	one	NOUN
ap-7699	1097	60	which	which	PRON
ap-7699	1097	61	are	be	AUX
ap-7699	1097	62	leading	lead	VERB
ap-7699	1097	63	in	in	ADP
ap-7699	1097	64	the	the	DET
ap-7699	1097	65	uv	uv	NOUN
ap-7699	1097	66	.	.	PUNCT
ap-7699	1098	1	these	these	DET
ap-7699	1098	2	additions	addition	NOUN
ap-7699	1098	3	are	be	AUX
ap-7699	1098	4	needed	need	VERB
ap-7699	1098	5	here	here	ADV
ap-7699	1098	6	only	only	ADV
ap-7699	1098	7	quantitatively	quantitatively	ADV
ap-7699	1098	8	and	and	CCONJ
ap-7699	1098	9	on	on	ADP
ap-7699	1098	10	the	the	DET
ap-7699	1098	11	formal	formal	ADJ
ap-7699	1098	12	level	level	NOUN
ap-7699	1098	13	to	to	PART
ap-7699	1098	14	let	let	VERB
ap-7699	1098	15	the	the	DET
ap-7699	1098	16	computation	computation	NOUN
ap-7699	1098	17	being	be	AUX
ap-7699	1098	18	done	do	VERB
ap-7699	1098	19	for	for	ADP
ap-7699	1098	20	example	example	NOUN
ap-7699	1098	21	using	use	VERB
ap-7699	1098	22	feynman	feynman	PROPN
ap-7699	1098	23	diagrams	diagram	NOUN
ap-7699	1098	24	with	with	ADP
ap-7699	1098	25	some	some	DET
ap-7699	1098	26	mathematically	mathematically	ADV
ap-7699	1098	27	existing	exist	VERB
ap-7699	1098	28	expressions	expression	NOUN
ap-7699	1098	29	for	for	ADP
ap-7699	1098	30	the	the	DET
ap-7699	1098	31	graviton	graviton	NOUN
ap-7699	1098	32	’s	’s	PART
ap-7699	1098	33	propagator	propagator	NOUN
ap-7699	1098	34	.	.	PUNCT
ap-7699	1099	1	in	in	ADP
ap-7699	1099	2	a	a	DET
ap-7699	1099	3	sense	sense	NOUN
ap-7699	1099	4	adding	add	VERB
ap-7699	1099	5	ωλ	ωλ	ADJ
ap-7699	1099	6	or	or	CCONJ
ap-7699	1099	7	r	r	NOUN
ap-7699	1099	8	,	,	PUNCT
ap-7699	1099	9	or	or	CCONJ
ap-7699	1099	10	c2	c2	PROPN
ap-7699	1099	11	terms	term	NOUN
ap-7699	1099	12	regularizes	regularize	VERB
ap-7699	1099	13	the	the	DET
ap-7699	1099	14	theory	theory	NOUN
ap-7699	1099	15	r	r	NOUN
ap-7699	1099	16	□	□	SYM
ap-7699	1099	17	r+r2	r+r2	NOUN
ap-7699	1099	18	or	or	CCONJ
ap-7699	1099	19	even	even	ADV
ap-7699	1099	20	the	the	DET
ap-7699	1099	21	simplest	simple	ADJ
ap-7699	1099	22	one	one	NOUN
ap-7699	1099	23	,	,	PUNCT
ap-7699	1099	24	just	just	ADV
ap-7699	1099	25	r	r	X
ap-7699	1099	26	□	□	SYM
ap-7699	1099	27	r	r	NOUN
ap-7699	1099	28	,	,	PUNCT
ap-7699	1099	29	so	so	SCONJ
ap-7699	1099	30	we	we	PRON
ap-7699	1099	31	can	can	AUX
ap-7699	1099	32	perhaps	perhaps	ADV
ap-7699	1099	33	trust	trust	VERB
ap-7699	1099	34	there	there	ADV
ap-7699	1099	35	in	in	ADP
ap-7699	1099	36	the	the	DET
ap-7699	1099	37	final	final	ADJ
ap-7699	1099	38	results	result	NOUN
ap-7699	1099	39	just	just	ADV
ap-7699	1099	40	given	give	VERB
ap-7699	1099	41	by	by	ADP
ap-7699	1099	42	all	all	DET
ap-7699	1099	43	three	three	NUM
ap-7699	1099	44	b0	b0	NOUN
ap-7699	1099	45	coefficients	coefficient	NOUN
ap-7699	1099	46	of	of	ADP
ap-7699	1099	47	uv	uv	NOUN
ap-7699	1099	48	divergences	divergence	NOUN
ap-7699	1099	49	proportional	proportional	ADJ
ap-7699	1099	50	to	to	ADP
ap-7699	1099	51	terms	term	NOUN
ap-7699	1099	52	r2	r2	PROPN
ap-7699	1099	53	,	,	PUNCT
ap-7699	1099	54	c2	c2	PROPN
ap-7699	1099	55	and	and	CCONJ
ap-7699	1099	56	gb	gb	NOUN
ap-7699	1099	57	.	.	PUNCT
ap-7699	1100	1	this	this	PRON
ap-7699	1100	2	can	can	AUX
ap-7699	1100	3	be	be	AUX
ap-7699	1100	4	motivated	motivate	VERB
ap-7699	1100	5	by	by	ADP
ap-7699	1100	6	the	the	DET
ap-7699	1100	7	observation	observation	NOUN
ap-7699	1100	8	that	that	SCONJ
ap-7699	1100	9	here	here	ADV
ap-7699	1100	10	the	the	DET
ap-7699	1100	11	limits	limit	NOUN
ap-7699	1100	12	ωc	ωc	INTJ
ap-7699	1100	13	→	→	SYM
ap-7699	1100	14	0	0	NUM
ap-7699	1100	15	or	or	CCONJ
ap-7699	1100	16	θc	θc	INTJ
ap-7699	1100	17	→	→	SYM
ap-7699	1100	18	0	0	NUM
ap-7699	1100	19	respectively	respectively	ADV
ap-7699	1100	20	do	do	AUX
ap-7699	1100	21	not	not	PART
ap-7699	1100	22	enhance	enhance	VERB
ap-7699	1100	23	any	any	DET
ap-7699	1100	24	symmetry	symmetry	NOUN
ap-7699	1100	25	of	of	ADP
ap-7699	1100	26	the	the	DET
ap-7699	1100	27	model	model	NOUN
ap-7699	1100	28	in	in	ADP
ap-7699	1100	29	question	question	NOUN
ap-7699	1100	30	,	,	PUNCT
ap-7699	1100	31	so	so	SCONJ
ap-7699	1100	32	they	they	PRON
ap-7699	1100	33	can	can	AUX
ap-7699	1100	34	be	be	AUX
ap-7699	1100	35	naively	naively	ADV
ap-7699	1100	36	and	and	CCONJ
ap-7699	1100	37	safely	safely	ADV
ap-7699	1100	38	taken	take	VERB
ap-7699	1100	39	.	.	PUNCT
ap-7699	1101	1	but	but	CCONJ
ap-7699	1101	2	we	we	PRON
ap-7699	1101	3	agree	agree	VERB
ap-7699	1101	4	that	that	SCONJ
ap-7699	1101	5	this	this	DET
ap-7699	1101	6	case	case	NOUN
ap-7699	1101	7	requires	require	VERB
ap-7699	1101	8	a	a	DET
ap-7699	1101	9	special	special	ADJ
ap-7699	1101	10	detailed	detailed	ADJ
ap-7699	1101	11	and	and	CCONJ
ap-7699	1101	12	careful	careful	ADJ
ap-7699	1101	13	computation	computation	NOUN
ap-7699	1101	14	to	to	PART
ap-7699	1101	15	prove	prove	VERB
ap-7699	1101	16	this	this	DET
ap-7699	1101	17	conjectural	conjectural	ADJ
ap-7699	1101	18	behaviours	behaviour	NOUN
ap-7699	1101	19	.	.	PUNCT
ap-7699	1102	1	in	in	ADP
ap-7699	1102	2	the	the	DET
ap-7699	1102	3	general	general	ADJ
ap-7699	1102	4	case	case	NOUN
ap-7699	1102	5	of	of	ADP
ap-7699	1102	6	badly	badly	ADV
ap-7699	1102	7	non	non	ADJ
ap-7699	1102	8	-	-	ADJ
ap-7699	1102	9	renormalizable	renormalizable	ADJ
ap-7699	1102	10	theories	theory	NOUN
ap-7699	1102	11	,	,	PUNCT
ap-7699	1102	12	with	with	ADP
ap-7699	1102	13	both	both	PRON
ap-7699	1102	14	ωc	ωc	ADP
ap-7699	1102	15	=	=	SYM
ap-7699	1102	16	0	0	NUM
ap-7699	1102	17	or	or	CCONJ
ap-7699	1102	18	ωr	ωr	VERB
ap-7699	1102	19	=	=	SYM
ap-7699	1102	20	0	0	PROPN
ap-7699	1102	21	,	,	PUNCT
ap-7699	1102	22	one	one	PRON
ap-7699	1102	23	trusts	trust	VERB
ap-7699	1102	24	more	more	ADJ
ap-7699	1102	25	the	the	DET
ap-7699	1102	26	computation	computation	NOUN
ap-7699	1102	27	using	use	VERB
ap-7699	1102	28	feynman	feynman	PROPN
ap-7699	1102	29	diagrams	diagram	NOUN
ap-7699	1102	30	and	and	CCONJ
ap-7699	1102	31	around	around	ADP
ap-7699	1102	32	flat	flat	ADJ
ap-7699	1102	33	spacetime	spacetime	NOUN
ap-7699	1102	34	than	than	ADP
ap-7699	1102	35	of	of	ADP
ap-7699	1102	36	the	the	DET
ap-7699	1102	37	fully	fully	ADV
ap-7699	1102	38	gr	gr	NOUN
ap-7699	1102	39	-	-	PUNCT
ap-7699	1102	40	covariant	covariant	ADJ
ap-7699	1102	41	bv	bv	PROPN
ap-7699	1102	42	method	method	NOUN
ap-7699	1102	43	of	of	ADP
ap-7699	1102	44	computation	computation	NOUN
ap-7699	1102	45	.	.	PUNCT
ap-7699	1103	1	for	for	ADP
ap-7699	1103	2	the	the	DET
ap-7699	1103	3	former	former	ADJ
ap-7699	1103	4	one	one	NOUN
ap-7699	1103	5	only	only	ADV
ap-7699	1103	6	needs	need	VERB
ap-7699	1103	7	to	to	PART
ap-7699	1103	8	be	be	AUX
ap-7699	1103	9	able	able	ADJ
ap-7699	1103	10	to	to	PART
ap-7699	1103	11	define	define	VERB
ap-7699	1103	12	properly	properly	ADV
ap-7699	1103	13	the	the	DET
ap-7699	1103	14	propagator	propagator	NOUN
ap-7699	1103	15	–	–	PUNCT
ap-7699	1103	16	all	all	DET
ap-7699	1103	17	physical	physical	ADJ
ap-7699	1103	18	sectors	sector	NOUN
ap-7699	1103	19	of	of	ADP
ap-7699	1103	20	it	it	PRON
ap-7699	1103	21	,	,	PUNCT
ap-7699	1103	22	and	and	CCONJ
ap-7699	1103	23	for	for	ADP
ap-7699	1103	24	this	this	DET
ap-7699	1103	25	purpose	purpose	NOUN
ap-7699	1103	26	one	one	NOUN
ap-7699	1103	27	can	can	AUX
ap-7699	1103	28	regularize	regularize	VERB
ap-7699	1103	29	the	the	DET
ap-7699	1103	30	theory	theory	NOUN
ap-7699	1103	31	by	by	ADP
ap-7699	1103	32	adding	add	VERB
ap-7699	1103	33	the	the	DET
ap-7699	1103	34	term	term	NOUN
ap-7699	1103	35	ωκr	ωκr	PROPN
ap-7699	1103	36	,	,	PUNCT
ap-7699	1103	37	which	which	PRON
ap-7699	1103	38	is	be	AUX
ap-7699	1103	39	a	a	DET
ap-7699	1103	40	dynamical	dynamical	ADJ
ap-7699	1103	41	one	one	NOUN
ap-7699	1103	42	with	with	ADP
ap-7699	1103	43	the	the	DET
ap-7699	1103	44	smallest	small	ADJ
ap-7699	1103	45	number	number	NOUN
ap-7699	1103	46	of	of	ADP
ap-7699	1103	47	derivatives	derivative	NOUN
ap-7699	1103	48	and	and	CCONJ
ap-7699	1103	49	for	for	ADP
ap-7699	1103	50	which	which	PRON
ap-7699	1103	51	flat	flat	ADJ
ap-7699	1103	52	spacetime	spacetime	NOUN
ap-7699	1103	53	is	be	AUX
ap-7699	1103	54	an	an	DET
ap-7699	1103	55	on	on	ADP
ap-7699	1103	56	-	-	PUNCT
ap-7699	1103	57	shell	shell	NOUN
ap-7699	1103	58	vacuum	vacuum	NOUN
ap-7699	1103	59	background	background	NOUN
ap-7699	1103	60	.	.	PUNCT
ap-7699	1104	1	(	(	PUNCT
ap-7699	1104	2	in	in	ADP
ap-7699	1104	3	this	this	DET
ap-7699	1104	4	way	way	NOUN
ap-7699	1104	5	,	,	PUNCT
ap-7699	1104	6	we	we	PRON
ap-7699	1104	7	exclude	exclude	VERB
ap-7699	1104	8	adding	add	VERB
ap-7699	1104	9	the	the	DET
ap-7699	1104	10	cosmological	cosmological	ADJ
ap-7699	1104	11	constant	constant	ADJ
ap-7699	1104	12	term	term	NOUN
ap-7699	1104	13	ωλ	ωλ	VERB
ap-7699	1104	14	,	,	PUNCT
ap-7699	1104	15	which	which	PRON
ap-7699	1104	16	would	would	AUX
ap-7699	1104	17	require	require	VERB
ap-7699	1104	18	adding	add	VERB
ap-7699	1104	19	some	some	DET
ap-7699	1104	20	source	source	NOUN
ap-7699	1104	21	and	and	CCONJ
ap-7699	1104	22	the	the	DET
ap-7699	1104	23	flat	flat	ADJ
ap-7699	1104	24	spacetime	spacetime	NOUN
ap-7699	1104	25	propagator	propagator	NOUN
ap-7699	1104	26	could	could	AUX
ap-7699	1104	27	not	not	PART
ap-7699	1104	28	be	be	AUX
ap-7699	1104	29	considered	consider	VERB
ap-7699	1104	30	anymore	anymore	ADV
ap-7699	1104	31	in	in	ADP
ap-7699	1104	32	vacuum	vacuum	NOUN
ap-7699	1104	33	there	there	ADV
ap-7699	1104	34	.	.	PUNCT
ap-7699	1104	35	)	)	PUNCT
ap-7699	1105	1	then	then	ADV
ap-7699	1105	2	in	in	ADP
ap-7699	1105	3	such	such	ADJ
ap-7699	1105	4	regulated	regulated	ADJ
ap-7699	1105	5	non	non	ADJ
ap-7699	1105	6	-	-	ADJ
ap-7699	1105	7	renormalizable	renormalizable	ADJ
ap-7699	1105	8	theory	theory	NOUN
ap-7699	1105	9	one	one	PRON
ap-7699	1105	10	can	can	AUX
ap-7699	1105	11	get	get	VERB
ap-7699	1105	12	results	result	NOUN
ap-7699	1105	13	around	around	ADP
ap-7699	1105	14	flat	flat	ADJ
ap-7699	1105	15	spacetime	spacetime	NOUN
ap-7699	1105	16	and	and	CCONJ
ap-7699	1105	17	in	in	ADP
ap-7699	1105	18	fourier	fourier	ADJ
ap-7699	1105	19	momentum	momentum	NOUN
ap-7699	1105	20	space	space	NOUN
ap-7699	1105	21	,	,	PUNCT
ap-7699	1105	22	and	and	CCONJ
ap-7699	1105	23	then	then	ADV
ap-7699	1105	24	at	at	ADP
ap-7699	1105	25	the	the	DET
ap-7699	1105	26	end	end	NOUN
ap-7699	1105	27	one	one	PRON
ap-7699	1105	28	can	can	AUX
ap-7699	1105	29	take	take	VERB
ap-7699	1105	30	the	the	DET
ap-7699	1105	31	limit	limit	NOUN
ap-7699	1105	32	ωκ	ωκ	VERB
ap-7699	1105	33	→	→	SYM
ap-7699	1105	34	0	0	NUM
ap-7699	1105	35	.	.	PUNCT
ap-7699	1106	1	the	the	DET
ap-7699	1106	2	results	result	NOUN
ap-7699	1106	3	for	for	ADP
ap-7699	1106	4	some	some	DET
ap-7699	1106	5	uv	uv	NOUN
ap-7699	1106	6	divergences	divergence	NOUN
ap-7699	1106	7	in	in	ADP
ap-7699	1106	8	these	these	DET
ap-7699	1106	9	non	non	ADJ
ap-7699	1106	10	-	-	ADJ
ap-7699	1106	11	renormalizable	renormalizable	ADJ
ap-7699	1106	12	models	model	NOUN
ap-7699	1106	13	must	must	AUX
ap-7699	1106	14	be	be	AUX
ap-7699	1106	15	viewed	view	VERB
ap-7699	1106	16	as	as	ADP
ap-7699	1106	17	projected	project	VERB
ap-7699	1106	18	since	since	SCONJ
ap-7699	1106	19	higher	high	ADJ
ap-7699	1106	20	-	-	PUNCT
ap-7699	1106	21	derivative	derivative	ADJ
ap-7699	1106	22	(	(	PUNCT
ap-7699	1106	23	like	like	ADP
ap-7699	1106	24	6	6	NUM
ap-7699	1106	25	-	-	PUNCT
ap-7699	1106	26	derivative	derivative	ADJ
ap-7699	1106	27	and	and	CCONJ
ap-7699	1106	28	even	even	ADV
ap-7699	1106	29	higher	high	ADJ
ap-7699	1106	30	)	)	PUNCT
ap-7699	1106	31	infinities	infinity	NOUN
ap-7699	1106	32	may	may	AUX
ap-7699	1106	33	be	be	AUX
ap-7699	1106	34	present	present	ADJ
ap-7699	1106	35	as	as	ADV
ap-7699	1106	36	well	well	ADV
ap-7699	1106	37	.	.	PUNCT
ap-7699	1107	1	these	these	DET
ap-7699	1107	2	last	last	ADJ
ap-7699	1107	3	results	result	NOUN
ap-7699	1107	4	must	must	AUX
ap-7699	1107	5	coincide	coincide	VERB
ap-7699	1107	6	with	with	ADP
ap-7699	1107	7	the	the	DET
ap-7699	1107	8	ones	one	NOUN
ap-7699	1107	9	we	we	PRON
ap-7699	1107	10	obtained	obtain	VERB
ap-7699	1107	11	in	in	ADP
ap-7699	1107	12	(	(	PUNCT
ap-7699	1107	13	33	33	NUM
ap-7699	1107	14	)	)	PUNCT
ap-7699	1107	15	,	,	PUNCT
ap-7699	1107	16	when	when	SCONJ
ap-7699	1107	17	the	the	DET
ap-7699	1107	18	proper	proper	ADJ
ap-7699	1107	19	limits	limit	NOUN
ap-7699	1107	20	of	of	ADP
ap-7699	1107	21	ωc	ωc	INTJ
ap-7699	1107	22	→	→	SYM
ap-7699	1107	23	0	0	NUM
ap-7699	1107	24	or	or	CCONJ
ap-7699	1107	25	ωr	ωr	VERB
ap-7699	1107	26	→	→	SYM
ap-7699	1107	27	0	0	NUM
ap-7699	1107	28	are	be	AUX
ap-7699	1107	29	taken	take	VERB
ap-7699	1107	30	.	.	PUNCT
ap-7699	1108	1	we	we	PRON
ap-7699	1108	2	notice	notice	VERB
ap-7699	1108	3	that	that	SCONJ
ap-7699	1108	4	adding	add	VERB
ap-7699	1108	5	the	the	DET
ap-7699	1108	6	e	e	NOUN
ap-7699	1108	7	-	-	NOUN
ap-7699	1108	8	h	h	ADJ
ap-7699	1108	9	term	term	NOUN
ap-7699	1108	10	,	,	PUNCT
ap-7699	1108	11	which	which	PRON
ap-7699	1108	12	is	be	AUX
ap-7699	1108	13	always	always	ADV
ap-7699	1108	14	a	a	DET
ap-7699	1108	15	good	good	ADJ
ap-7699	1108	16	regulator	regulator	NOUN
ap-7699	1108	17	,	,	PUNCT
ap-7699	1108	18	changes	change	VERB
ap-7699	1108	19	the	the	DET
ap-7699	1108	20	dynamics	dynamic	NOUN
ap-7699	1108	21	very	very	ADV
ap-7699	1108	22	insignificantly	insignificantly	ADV
ap-7699	1108	23	for	for	SCONJ
ap-7699	1108	24	these	these	DET
ap-7699	1108	25	higher	high	ADJ
ap-7699	1108	26	-	-	PUNCT
ap-7699	1108	27	derivative	derivative	ADJ
ap-7699	1108	28	models	model	NOUN
ap-7699	1108	29	and	and	CCONJ
ap-7699	1108	30	the	the	DET
ap-7699	1108	31	results	result	NOUN
ap-7699	1108	32	from	from	ADP
ap-7699	1108	33	feynman	feynman	PROPN
ap-7699	1108	34	diagram	diagram	PROPN
ap-7699	1108	35	computations	computation	NOUN
ap-7699	1108	36	can	can	AUX
ap-7699	1108	37	be	be	AUX
ap-7699	1108	38	always	always	ADV
ap-7699	1108	39	derived	derive	VERB
ap-7699	1108	40	.	.	PUNCT
ap-7699	1109	1	instead	instead	ADV
ap-7699	1109	2	for	for	ADP
ap-7699	1109	3	the	the	DET
ap-7699	1109	4	leading	leading	NOUN
ap-7699	1109	5	in	in	ADP
ap-7699	1109	6	the	the	DET
ap-7699	1109	7	uv	uv	NOUN
ap-7699	1109	8	regime	regime	NOUN
ap-7699	1109	9	part	part	NOUN
ap-7699	1109	10	of	of	ADP
ap-7699	1109	11	the	the	DET
ap-7699	1109	12	hessian	hessian	ADJ
ap-7699	1109	13	operator	operator	NOUN
ap-7699	1109	14	,	,	PUNCT
ap-7699	1109	15	which	which	PRON
ap-7699	1109	16	is	be	AUX
ap-7699	1109	17	a	a	DET
ap-7699	1109	18	crucial	crucial	ADJ
ap-7699	1109	19	element	element	NOUN
ap-7699	1109	20	for	for	ADP
ap-7699	1109	21	the	the	DET
ap-7699	1109	22	bv	bv	PROPN
ap-7699	1109	23	method	method	NOUN
ap-7699	1109	24	of	of	ADP
ap-7699	1109	25	computation	computation	NOUN
ap-7699	1109	26	,	,	PUNCT
ap-7699	1109	27	addition	addition	NOUN
ap-7699	1109	28	of	of	ADP
ap-7699	1109	29	just	just	ADV
ap-7699	1109	30	ωκr	ωκr	X
ap-7699	1109	31	does	do	AUX
ap-7699	1109	32	not	not	PART
ap-7699	1109	33	help	help	VERB
ap-7699	1109	34	too	too	ADV
ap-7699	1109	35	much	much	ADV
ap-7699	1109	36	and	and	CCONJ
ap-7699	1109	37	the	the	DET
ap-7699	1109	38	operator	operator	NOUN
ap-7699	1109	39	is	be	AUX
ap-7699	1109	40	still	still	ADV
ap-7699	1109	41	degenerate	degenerate	ADJ
ap-7699	1109	42	since	since	SCONJ
ap-7699	1109	43	it	it	PRON
ap-7699	1109	44	is	be	AUX
ap-7699	1109	45	required	require	VERB
ap-7699	1109	46	that	that	SCONJ
ap-7699	1109	47	all	all	DET
ap-7699	1109	48	its	its	PRON
ap-7699	1109	49	sectors	sector	NOUN
ap-7699	1109	50	are	be	AUX
ap-7699	1109	51	with	with	ADP
ap-7699	1109	52	six	six	NUM
ap-7699	1109	53	-	-	PUNCT
ap-7699	1109	54	derivative	derivative	ADJ
ap-7699	1109	55	differential	differential	NOUN
ap-7699	1109	56	operators	operator	NOUN
ap-7699	1109	57	:	:	PUNCT
ap-7699	1109	58	are	be	AUX
ap-7699	1109	59	non	non	ADJ
ap-7699	1109	60	-	-	ADJ
ap-7699	1109	61	vanishing	vanishing	ADJ
ap-7699	1109	62	and	and	CCONJ
ap-7699	1109	63	non	non	ADJ
ap-7699	1109	64	-	-	ADJ
ap-7699	1109	65	degenerate	degenerate	ADJ
ap-7699	1109	66	there	there	ADV
ap-7699	1109	67	.	.	PUNCT
ap-7699	1110	1	we	we	PRON
ap-7699	1110	2	propose	propose	VERB
ap-7699	1110	3	the	the	DET
ap-7699	1110	4	following	follow	VERB
ap-7699	1110	5	procedure	procedure	NOUN
ap-7699	1110	6	for	for	ADP
ap-7699	1110	7	the	the	DET
ap-7699	1110	8	derivation	derivation	NOUN
ap-7699	1110	9	of	of	ADP
ap-7699	1110	10	correct	correct	ADJ
ap-7699	1110	11	limiting	limiting	NOUN
ap-7699	1110	12	cases	case	NOUN
ap-7699	1110	13	analyzed	analyze	VERB
ap-7699	1110	14	here	here	ADV
ap-7699	1110	15	.	.	PUNCT
ap-7699	1111	1	first	first	ADV
ap-7699	1111	2	the	the	DET
ap-7699	1111	3	theory	theory	NOUN
ap-7699	1111	4	with	with	ADP
ap-7699	1111	5	ωc	ωc	ADP
ap-7699	1111	6	̸=	̸=	PROPN
ap-7699	1111	7	0	0	NUM
ap-7699	1111	8	,	,	PUNCT
ap-7699	1111	9	ωr	ωr	ADP
ap-7699	1111	10	̸=	̸=	PROPN
ap-7699	1111	11	0	0	NUM
ap-7699	1111	12	and	and	CCONJ
ap-7699	1111	13	ωκ	ωκ	PROPN
ap-7699	1111	14	̸=	̸=	PROPN
ap-7699	1111	15	0	0	NUM
ap-7699	1111	16	is	be	AUX
ap-7699	1111	17	analyzed	analyze	VERB
ap-7699	1111	18	using	use	VERB
ap-7699	1111	19	feynman	feynman	PROPN
ap-7699	1111	20	diagram	diagram	PROPN
ap-7699	1111	21	approach	approach	NOUN
ap-7699	1111	22	.	.	PUNCT
ap-7699	1112	1	the	the	DET
ap-7699	1112	2	results	result	NOUN
ap-7699	1112	3	for	for	ADP
ap-7699	1112	4	uv	uv	NOUN
ap-7699	1112	5	divergences	divergence	NOUN
ap-7699	1112	6	must	must	AUX
ap-7699	1112	7	be	be	AUX
ap-7699	1112	8	identical	identical	ADJ
ap-7699	1112	9	to	to	ADP
ap-7699	1112	10	the	the	DET
ap-7699	1112	11	ones	one	NOUN
ap-7699	1112	12	found	find	VERB
ap-7699	1112	13	in	in	ADP
ap-7699	1112	14	(	(	PUNCT
ap-7699	1112	15	33	33	NUM
ap-7699	1112	16	)	)	PUNCT
ap-7699	1112	17	using	use	VERB
ap-7699	1112	18	the	the	DET
ap-7699	1112	19	bv	bv	PROPN
ap-7699	1112	20	technique	technique	NOUN
ap-7699	1112	21	.	.	PUNCT
ap-7699	1113	1	they	they	PRON
ap-7699	1113	2	do	do	AUX
ap-7699	1113	3	not	not	PART
ap-7699	1113	4	show	show	VERB
ap-7699	1113	5	any	any	DET
ap-7699	1113	6	singularity	singularity	NOUN
ap-7699	1113	7	at	at	ADP
ap-7699	1113	8	this	this	DET
ap-7699	1113	9	moment	moment	NOUN
ap-7699	1113	10	.	.	PUNCT
ap-7699	1114	1	in	in	ADP
ap-7699	1114	2	feynman	feynman	PROPN
ap-7699	1114	3	diagram	diagram	PROPN
ap-7699	1114	4	computation	computation	NOUN
ap-7699	1114	5	one	one	PRON
ap-7699	1114	6	can	can	AUX
ap-7699	1114	7	take	take	VERB
ap-7699	1114	8	the	the	DET
ap-7699	1114	9	limit	limit	NOUN
ap-7699	1114	10	ωc	ωc	INTJ
ap-7699	1114	11	→	→	PUNCT
ap-7699	1114	12	or	or	CCONJ
ap-7699	1114	13	ωr	ωr	VERB
ap-7699	1114	14	→	→	SYM
ap-7699	1114	15	0	0	NUM
ap-7699	1114	16	,	,	PUNCT
ap-7699	1114	17	while	while	SCONJ
ap-7699	1114	18	the	the	DET
ap-7699	1114	19	propagator	propagator	NOUN
ap-7699	1114	20	and	and	CCONJ
ap-7699	1114	21	perturbative	perturbative	ADJ
ap-7699	1114	22	vertices	vertex	NOUN
ap-7699	1114	23	are	be	AUX
ap-7699	1114	24	still	still	ADV
ap-7699	1114	25	well	well	ADV
ap-7699	1114	26	-	-	PUNCT
ap-7699	1114	27	defined	define	VERB
ap-7699	1114	28	.	.	PUNCT
ap-7699	1115	1	in	in	ADP
ap-7699	1115	2	these	these	DET
ap-7699	1115	3	circumstances	circumstance	NOUN
ap-7699	1115	4	we	we	PRON
ap-7699	1115	5	have	have	VERB
ap-7699	1115	6	that	that	PRON
ap-7699	1115	7	still	still	ADV
ap-7699	1115	8	ωκ	ωκ	VERB
ap-7699	1115	9	̸=	̸=	PROPN
ap-7699	1115	10	0	0	NUM
ap-7699	1115	11	.	.	PUNCT
ap-7699	1116	1	we	we	PRON
ap-7699	1116	2	admit	admit	VERB
ap-7699	1116	3	that	that	SCONJ
ap-7699	1116	4	the	the	DET
ap-7699	1116	5	theory	theory	NOUN
ap-7699	1116	6	loses	lose	VERB
ap-7699	1116	7	now	now	ADV
ap-7699	1116	8	its	its	PRON
ap-7699	1116	9	renormalizability	renormalizability	NOUN
ap-7699	1116	10	properties	property	NOUN
ap-7699	1116	11	,	,	PUNCT
ap-7699	1116	12	but	but	CCONJ
ap-7699	1116	13	we	we	PRON
ap-7699	1116	14	just	just	ADV
ap-7699	1116	15	want	want	VERB
ap-7699	1116	16	to	to	PART
ap-7699	1116	17	project	project	VERB
ap-7699	1116	18	the	the	DET
ap-7699	1116	19	uv	uv	NOUN
ap-7699	1116	20	-	-	PUNCT
ap-7699	1116	21	divergent	divergent	ADJ
ap-7699	1116	22	action	action	NOUN
ap-7699	1116	23	onto	onto	ADP
ap-7699	1116	24	the	the	DET
ap-7699	1116	25	terms	term	NOUN
ap-7699	1116	26	with	with	ADP
ap-7699	1116	27	the	the	DET
ap-7699	1116	28	structure	structure	NOUN
ap-7699	1116	29	of	of	ADP
ap-7699	1116	30	three	three	NUM
ap-7699	1116	31	gr	gr	NUM
ap-7699	1116	32	-	-	PUNCT
ap-7699	1116	33	covariant	covariant	ADJ
ap-7699	1116	34	terms	term	NOUN
ap-7699	1116	35	c2	c2	PROPN
ap-7699	1116	36	,	,	PUNCT
ap-7699	1116	37	r2	r2	PROPN
ap-7699	1116	38	and	and	CCONJ
ap-7699	1116	39	gb	gb	NOUN
ap-7699	1116	40	.	.	PUNCT
ap-7699	1117	1	for	for	ADP
ap-7699	1117	2	this	this	PRON
ap-7699	1117	3	the	the	DET
ap-7699	1117	4	method	method	NOUN
ap-7699	1117	5	of	of	ADP
ap-7699	1117	6	feynman	feynman	PROPN
ap-7699	1117	7	graph	graph	NOUN
ap-7699	1117	8	computation	computation	NOUN
ap-7699	1117	9	is	be	AUX
ap-7699	1117	10	still	still	ADV
ap-7699	1117	11	suitable	suitable	ADJ
ap-7699	1117	12	since	since	SCONJ
ap-7699	1117	13	it	it	PRON
ap-7699	1117	14	only	only	ADV
ap-7699	1117	15	requires	require	VERB
ap-7699	1117	16	the	the	DET
ap-7699	1117	17	well	well	ADV
ap-7699	1117	18	-	-	PUNCT
ap-7699	1117	19	defined	define	VERB
ap-7699	1117	20	propagator	propagator	NOUN
ap-7699	1117	21	,	,	PUNCT
ap-7699	1117	22	but	but	CCONJ
ap-7699	1117	23	it	it	PRON
ap-7699	1117	24	can	can	AUX
ap-7699	1117	25	work	work	VERB
ap-7699	1117	26	even	even	ADV
ap-7699	1117	27	in	in	ADP
ap-7699	1117	28	badly	badly	ADV
ap-7699	1117	29	non	non	ADJ
ap-7699	1117	30	-	-	ADJ
ap-7699	1117	31	renormalizable	renormalizable	ADJ
ap-7699	1117	32	theories	theory	NOUN
ap-7699	1117	33	.	.	PUNCT
ap-7699	1118	1	this	this	PRON
ap-7699	1118	2	is	be	AUX
ap-7699	1118	3	like	like	ADP
ap-7699	1118	4	taking	take	VERB
ap-7699	1118	5	the	the	DET
ap-7699	1118	6	naive	naive	ADJ
ap-7699	1118	7	limits	limit	NOUN
ap-7699	1118	8	of	of	ADP
ap-7699	1118	9	ωc	ωc	INTJ
ap-7699	1118	10	→	→	PUNCT
ap-7699	1118	11	or	or	CCONJ
ap-7699	1118	12	ωr	ωr	VERB
ap-7699	1118	13	→	→	SYM
ap-7699	1118	14	0	0	NUM
ap-7699	1118	15	in	in	ADP
ap-7699	1118	16	the	the	DET
ap-7699	1118	17	results	result	NOUN
ap-7699	1118	18	from	from	ADP
ap-7699	1118	19	(	(	PUNCT
ap-7699	1118	20	33	33	NUM
ap-7699	1118	21	)	)	PUNCT
ap-7699	1118	22	respectively	respectively	ADV
ap-7699	1118	23	,	,	PUNCT
ap-7699	1118	24	regardless	regardless	ADV
ap-7699	1118	25	which	which	DET
ap-7699	1118	26	way	way	NOUN
ap-7699	1118	27	they	they	PRON
ap-7699	1118	28	were	be	AUX
ap-7699	1118	29	obtained	obtain	VERB
ap-7699	1118	30	.	.	PUNCT
ap-7699	1119	1	one	one	NUM
ap-7699	1119	2	justifies	justify	VERB
ap-7699	1119	3	the	the	DET
ap-7699	1119	4	step	step	NOUN
ap-7699	1119	5	of	of	ADP
ap-7699	1119	6	taking	take	VERB
ap-7699	1119	7	these	these	DET
ap-7699	1119	8	limits	limit	NOUN
ap-7699	1119	9	by	by	ADP
ap-7699	1119	10	recalling	recall	VERB
ap-7699	1119	11	that	that	SCONJ
ap-7699	1119	12	we	we	PRON
ap-7699	1119	13	are	be	AUX
ap-7699	1119	14	still	still	ADV
ap-7699	1119	15	working	work	VERB
ap-7699	1119	16	in	in	ADP
ap-7699	1119	17	the	the	DET
ap-7699	1119	18	feynman	feynman	PROPN
ap-7699	1119	19	diagram	diagram	PROPN
ap-7699	1119	20	approach	approach	NOUN
ap-7699	1119	21	,	,	PUNCT
ap-7699	1119	22	and	and	CCONJ
ap-7699	1119	23	not	not	PART
ap-7699	1119	24	with	with	ADP
ap-7699	1119	25	the	the	DET
ap-7699	1119	26	bv	bv	PROPN
ap-7699	1119	27	technique	technique	NOUN
ap-7699	1119	28	.	.	PUNCT
ap-7699	1120	1	finally	finally	ADV
ap-7699	1120	2	,	,	PUNCT
ap-7699	1120	3	one	one	PRON
ap-7699	1120	4	sends	send	VERB
ap-7699	1120	5	ωκ	ωκ	NOUN
ap-7699	1120	6	→	→	SYM
ap-7699	1120	7	0	0	NUM
ap-7699	1120	8	hoping	hope	VERB
ap-7699	1120	9	that	that	SCONJ
ap-7699	1120	10	this	this	PRON
ap-7699	1120	11	does	do	AUX
ap-7699	1120	12	not	not	PART
ap-7699	1120	13	produce	produce	VERB
ap-7699	1120	14	any	any	DET
ap-7699	1120	15	finite	finite	ADJ
ap-7699	1120	16	discontinuity	discontinuity	NOUN
ap-7699	1120	17	in	in	ADP
ap-7699	1120	18	the	the	DET
ap-7699	1120	19	results	result	NOUN
ap-7699	1120	20	for	for	ADP
ap-7699	1120	21	four	four	NUM
ap-7699	1120	22	-	-	PUNCT
ap-7699	1120	23	derivative	derivative	ADJ
ap-7699	1120	24	uv	uv	NOUN
ap-7699	1120	25	divergences	divergence	NOUN
ap-7699	1120	26	.	.	PUNCT
ap-7699	1121	1	this	this	PRON
ap-7699	1121	2	is	be	AUX
ap-7699	1121	3	justified	justify	VERB
ap-7699	1121	4	by	by	ADP
ap-7699	1121	5	dimensional	dimensional	ADJ
ap-7699	1121	6	analysis	analysis	NOUN
ap-7699	1121	7	arguments	argument	NOUN
ap-7699	1121	8	provided	provide	VERB
ap-7699	1121	9	also	also	ADV
ap-7699	1121	10	earlier	early	ADV
ap-7699	1121	11	in	in	ADP
ap-7699	1121	12	this	this	DET
ap-7699	1121	13	article	article	NOUN
ap-7699	1121	14	and	and	CCONJ
ap-7699	1121	15	by	by	ADP
ap-7699	1121	16	the	the	DET
ap-7699	1121	17	fact	fact	NOUN
ap-7699	1121	18	that	that	SCONJ
ap-7699	1121	19	except	except	SCONJ
ap-7699	1121	20	in	in	ADP
ap-7699	1121	21	the	the	DET
ap-7699	1121	22	case	case	NOUN
ap-7699	1121	23	of	of	ADP
ap-7699	1121	24	conformal	conformal	ADJ
ap-7699	1121	25	gravity	gravity	NOUN
ap-7699	1121	26	theory	theory	NOUN
ap-7699	1121	27	in	in	ADP
ap-7699	1121	28	d	d	PROPN
ap-7699	1121	29	=	=	SYM
ap-7699	1121	30	4	4	NUM
ap-7699	1121	31	,	,	PUNCT
ap-7699	1121	32	there	there	PRON
ap-7699	1121	33	is	be	VERB
ap-7699	1121	34	no	no	DET
ap-7699	1121	35	any	any	DET
ap-7699	1121	36	enhancement	enhancement	NOUN
ap-7699	1121	37	of	of	ADP
ap-7699	1121	38	local	local	ADJ
ap-7699	1121	39	symmetries	symmetry	NOUN
ap-7699	1121	40	in	in	ADP
ap-7699	1121	41	the	the	DET
ap-7699	1121	42	limit	limit	NOUN
ap-7699	1121	43	ωκ	ωκ	VERB
ap-7699	1121	44	→	→	SYM
ap-7699	1121	45	0	0	X
ap-7699	1121	46	.	.	PUNCT
ap-7699	1122	1	then	then	ADV
ap-7699	1122	2	one	one	PRON
ap-7699	1122	3	gets	get	VERB
ap-7699	1122	4	the	the	DET
ap-7699	1122	5	sense	sense	NOUN
ap-7699	1122	6	for	for	ADP
ap-7699	1122	7	the	the	DET
ap-7699	1122	8	limits	limit	NOUN
ap-7699	1122	9	considered	consider	VERB
ap-7699	1122	10	in	in	ADP
ap-7699	1122	11	these	these	DET
ap-7699	1122	12	sections	section	NOUN
ap-7699	1122	13	.	.	PUNCT
ap-7699	1123	1	this	this	DET
ap-7699	1123	2	analysis	analysis	NOUN
ap-7699	1123	3	concludes	conclude	VERB
ap-7699	1123	4	the	the	DET
ap-7699	1123	5	part	part	NOUN
ap-7699	1123	6	with	with	ADP
ap-7699	1123	7	special	special	ADJ
ap-7699	1123	8	limiting	limiting	NOUN
ap-7699	1123	9	cases	case	NOUN
ap-7699	1123	10	of	of	ADP
ap-7699	1123	11	extended	extended	ADJ
ap-7699	1123	12	six	six	NUM
ap-7699	1123	13	-	-	PUNCT
ap-7699	1123	14	derivative	derivative	ADJ
ap-7699	1123	15	theories	theory	NOUN
ap-7699	1123	16	,	,	PUNCT
ap-7699	1123	17	where	where	SCONJ
ap-7699	1123	18	one	one	NUM
ap-7699	1123	19	of	of	ADP
ap-7699	1123	20	the	the	DET
ap-7699	1123	21	coefficients	coefficient	NOUN
ap-7699	1123	22	ωr	ωr	VERB
ap-7699	1123	23	or	or	CCONJ
ap-7699	1123	24	ωc	ωc	INTJ
ap-7699	1123	25	is	be	AUX
ap-7699	1123	26	to	to	PART
ap-7699	1123	27	be	be	AUX
ap-7699	1123	28	set	set	VERB
ap-7699	1123	29	to	to	ADP
ap-7699	1123	30	zero	zero	NUM
ap-7699	1123	31	.	.	PUNCT
ap-7699	1124	1	probably	probably	ADV
ap-7699	1124	2	the	the	DET
ap-7699	1124	3	same	same	ADJ
ap-7699	1124	4	considerations	consideration	NOUN
ap-7699	1124	5	of	of	ADP
ap-7699	1124	6	some	some	DET
ap-7699	1124	7	limits	limit	NOUN
ap-7699	1124	8	can	can	AUX
ap-7699	1124	9	be	be	AUX
ap-7699	1124	10	repeated	repeat	VERB
ap-7699	1124	11	very	very	ADV
ap-7699	1124	12	similarly	similarly	ADV
ap-7699	1124	13	(	(	PUNCT
ap-7699	1124	14	with	with	ADP
ap-7699	1124	15	the	the	DET
ap-7699	1124	16	exception	exception	NOUN
ap-7699	1124	17	of	of	ADP
ap-7699	1124	18	the	the	DET
ap-7699	1124	19	conformal	conformal	ADJ
ap-7699	1124	20	gravity	gravity	NOUN
ap-7699	1124	21	case	case	NOUN
ap-7699	1124	22	)	)	PUNCT
ap-7699	1124	23	for	for	ADP
ap-7699	1124	24	the	the	DET
ap-7699	1124	25	stelle	stelle	PROPN
ap-7699	1124	26	quadratic	quadratic	ADJ
ap-7699	1124	27	gravity	gravity	NOUN
ap-7699	1124	28	models	model	NOUN
ap-7699	1124	29	,	,	PUNCT
ap-7699	1124	30	but	but	CCONJ
ap-7699	1124	31	we	we	PRON
ap-7699	1124	32	will	will	AUX
ap-7699	1124	33	skip	skip	VERB
ap-7699	1124	34	this	this	DET
ap-7699	1124	35	analysis	analysis	NOUN
ap-7699	1124	36	here	here	ADV
ap-7699	1124	37	since	since	SCONJ
ap-7699	1124	38	it	it	PRON
ap-7699	1124	39	can	can	AUX
ap-7699	1124	40	be	be	AUX
ap-7699	1124	41	found	find	VERB
ap-7699	1124	42	in	in	ADP
ap-7699	1124	43	the	the	DET
ap-7699	1124	44	literature	literature	NOUN
ap-7699	1124	45	.	.	PUNCT
ap-7699	1125	1	5	5	X
ap-7699	1125	2	.	.	X
ap-7699	1125	3	stability	stability	NOUN
ap-7699	1125	4	of	of	ADP
ap-7699	1125	5	hd	hd	PROPN
ap-7699	1125	6	theories	theory	NOUN
ap-7699	1125	7	above	above	ADP
ap-7699	1125	8	we	we	PRON
ap-7699	1125	9	have	have	AUX
ap-7699	1125	10	seen	see	VERB
ap-7699	1125	11	that	that	PRON
ap-7699	1125	12	hd	hd	VERB
ap-7699	1125	13	theories	theory	NOUN
ap-7699	1125	14	of	of	ADP
ap-7699	1125	15	gravitation	gravitation	NOUN
ap-7699	1125	16	are	be	AUX
ap-7699	1125	17	inevitable	inevitable	ADJ
ap-7699	1125	18	due	due	ADP
ap-7699	1125	19	to	to	ADP
ap-7699	1125	20	quantum	quantum	ADJ
ap-7699	1125	21	considerations	consideration	NOUN
ap-7699	1125	22	.	.	PUNCT
ap-7699	1126	1	they	they	PRON
ap-7699	1126	2	also	also	ADV
ap-7699	1126	3	come	come	VERB
ap-7699	1126	4	with	with	ADP
ap-7699	1126	5	a	a	DET
ap-7699	1126	6	lot	lot	NOUN
ap-7699	1126	7	of	of	ADP
ap-7699	1126	8	benefits	benefit	NOUN
ap-7699	1126	9	that	that	PRON
ap-7699	1126	10	we	we	PRON
ap-7699	1126	11	have	have	AUX
ap-7699	1126	12	discussed	discuss	VERB
ap-7699	1126	13	at	at	ADP
ap-7699	1126	14	length	length	NOUN
ap-7699	1126	15	before	before	ADV
ap-7699	1126	16	like	like	ADP
ap-7699	1126	17	super	super	NOUN
ap-7699	1126	18	-	-	NOUN
ap-7699	1126	19	renormalizability	renormalizability	NOUN
ap-7699	1126	20	and	and	CCONJ
ap-7699	1126	21	the	the	DET
ap-7699	1126	22	possibility	possibility	NOUN
ap-7699	1126	23	for	for	ADP
ap-7699	1126	24	uv	uv	NOUN
ap-7699	1126	25	-	-	PUNCT
ap-7699	1126	26	finiteness	finiteness	NOUN
ap-7699	1126	27	.	.	PUNCT
ap-7699	1127	1	however	however	ADV
ap-7699	1127	2	,	,	PUNCT
ap-7699	1127	3	it	it	PRON
ap-7699	1127	4	is	be	AUX
ap-7699	1127	5	also	also	ADV
ap-7699	1127	6	well	well	ADV
ap-7699	1127	7	148	148	NUM
ap-7699	1127	8	vol	vol	NOUN
ap-7699	1127	9	.	.	PUNCT
ap-7699	1128	1	62	62	NUM
ap-7699	1128	2	no	no	INTJ
ap-7699	1128	3	.	.	PUNCT
ap-7699	1129	1	1/2022	1/2022	NUM
ap-7699	1129	2	beta	beta	NOUN
ap-7699	1129	3	functions	function	NOUN
ap-7699	1129	4	in	in	ADP
ap-7699	1129	5	six	six	NUM
ap-7699	1129	6	-	-	PUNCT
ap-7699	1129	7	derivative	derivative	ADJ
ap-7699	1129	8	quantum	quantum	NOUN
ap-7699	1129	9	gravity	gravity	NOUN
ap-7699	1129	10	known	know	VERB
ap-7699	1129	11	that	that	SCONJ
ap-7699	1129	12	they	they	PRON
ap-7699	1129	13	have	have	VERB
ap-7699	1129	14	their	their	PRON
ap-7699	1129	15	own	own	ADJ
ap-7699	1129	16	drawbacks	drawback	NOUN
ap-7699	1129	17	and	and	CCONJ
ap-7699	1129	18	problems	problem	NOUN
ap-7699	1129	19	.	.	PUNCT
ap-7699	1130	1	one	one	NUM
ap-7699	1130	2	of	of	ADP
ap-7699	1130	3	the	the	DET
ap-7699	1130	4	most	most	ADV
ap-7699	1130	5	crucial	crucial	ADJ
ap-7699	1130	6	one	one	NUM
ap-7699	1130	7	is	be	AUX
ap-7699	1130	8	the	the	DET
ap-7699	1130	9	issue	issue	NOUN
ap-7699	1130	10	of	of	ADP
ap-7699	1130	11	unitarity	unitarity	NOUN
ap-7699	1130	12	of	of	ADP
ap-7699	1130	13	the	the	DET
ap-7699	1130	14	scattering	scatter	VERB
ap-7699	1130	15	(	(	PUNCT
ap-7699	1130	16	s	s	NOUN
ap-7699	1130	17	-	-	NOUN
ap-7699	1130	18	matrix	matrix	NOUN
ap-7699	1130	19	)	)	PUNCT
ap-7699	1130	20	in	in	ADP
ap-7699	1130	21	perturbative	perturbative	ADJ
ap-7699	1130	22	framework	framework	NOUN
ap-7699	1130	23	.	.	PUNCT
ap-7699	1131	1	this	this	PRON
ap-7699	1131	2	is	be	AUX
ap-7699	1131	3	of	of	ADP
ap-7699	1131	4	course	course	NOUN
ap-7699	1131	5	in	in	ADP
ap-7699	1131	6	the	the	DET
ap-7699	1131	7	situation	situation	NOUN
ap-7699	1131	8	when	when	SCONJ
ap-7699	1131	9	we	we	PRON
ap-7699	1131	10	can	can	AUX
ap-7699	1131	11	discuss	discuss	VERB
ap-7699	1131	12	the	the	DET
ap-7699	1131	13	scattering	scattering	NOUN
ap-7699	1131	14	problems	problem	NOUN
ap-7699	1131	15	,	,	PUNCT
ap-7699	1131	16	so	so	CCONJ
ap-7699	1131	17	when	when	SCONJ
ap-7699	1131	18	we	we	PRON
ap-7699	1131	19	can	can	AUX
ap-7699	1131	20	define	define	VERB
ap-7699	1131	21	asymptotic	asymptotic	ADJ
ap-7699	1131	22	states	state	NOUN
ap-7699	1131	23	in	in	ADP
ap-7699	1131	24	interacting	interact	VERB
ap-7699	1131	25	gravitational	gravitational	ADJ
ap-7699	1131	26	background	background	NOUN
ap-7699	1131	27	,	,	PUNCT
ap-7699	1131	28	so	so	CCONJ
ap-7699	1131	29	when	when	SCONJ
ap-7699	1131	30	the	the	DET
ap-7699	1131	31	gravitational	gravitational	ADJ
ap-7699	1131	32	spacetime	spacetime	NOUN
ap-7699	1131	33	is	be	AUX
ap-7699	1131	34	asymptotically	asymptotically	ADV
ap-7699	1131	35	flat	flat	ADJ
ap-7699	1131	36	.	.	PUNCT
ap-7699	1132	1	in	in	ADP
ap-7699	1132	2	more	more	ADJ
ap-7699	1132	3	generality	generality	NOUN
ap-7699	1132	4	,	,	PUNCT
ap-7699	1132	5	the	the	DET
ap-7699	1132	6	related	related	ADJ
ap-7699	1132	7	issue	issue	NOUN
ap-7699	1132	8	is	be	AUX
ap-7699	1132	9	of	of	ADP
ap-7699	1132	10	quantum	quantum	ADJ
ap-7699	1132	11	stability	stability	NOUN
ap-7699	1132	12	of	of	ADP
ap-7699	1132	13	the	the	DET
ap-7699	1132	14	theory	theory	NOUN
ap-7699	1132	15	.	.	PUNCT
ap-7699	1133	1	in	in	ADP
ap-7699	1133	2	general	general	ADJ
ap-7699	1133	3	,	,	PUNCT
ap-7699	1133	4	in	in	ADP
ap-7699	1133	5	literature	literature	NOUN
ap-7699	1133	6	about	about	ADP
ap-7699	1133	7	general	general	PROPN
ap-7699	1133	8	hd	hd	PROPN
ap-7699	1133	9	theories	theory	NOUN
ap-7699	1133	10	there	there	PRON
ap-7699	1133	11	exist	exist	VERB
ap-7699	1133	12	various	various	ADJ
ap-7699	1133	13	proposals	proposal	NOUN
ap-7699	1133	14	for	for	ADP
ap-7699	1133	15	solutions	solution	NOUN
ap-7699	1133	16	of	of	ADP
ap-7699	1133	17	these	these	DET
ap-7699	1133	18	perennial	perennial	ADJ
ap-7699	1133	19	problems	problem	NOUN
ap-7699	1133	20	.	.	PUNCT
ap-7699	1134	1	we	we	PRON
ap-7699	1134	2	can	can	AUX
ap-7699	1134	3	mention	mention	VERB
ap-7699	1134	4	here	here	ADV
ap-7699	1134	5	a	a	DET
ap-7699	1134	6	few	few	ADJ
ap-7699	1134	7	of	of	ADP
ap-7699	1134	8	them	they	PRON
ap-7699	1134	9	:	:	PUNCT
ap-7699	1134	10	pt	pt	X
ap-7699	1134	11	-symmetric	-symmetric	ADJ
ap-7699	1134	12	quantum	quantum	NOUN
ap-7699	1134	13	theory	theory	NOUN
ap-7699	1134	14	,	,	PUNCT
ap-7699	1134	15	anselmi	anselmi	ADJ
ap-7699	1134	16	-	-	PUNCT
ap-7699	1134	17	piva	piva	ADJ
ap-7699	1134	18	fakeon	fakeon	NOUN
ap-7699	1134	19	prescription	prescription	NOUN
ap-7699	1134	20	,	,	PUNCT
ap-7699	1134	21	non	non	ADJ
ap-7699	1134	22	-	-	ADJ
ap-7699	1134	23	local	local	ADJ
ap-7699	1134	24	hd	hd	NOUN
ap-7699	1134	25	theories	theory	NOUN
ap-7699	1134	26	,	,	PUNCT
ap-7699	1134	27	benign	benign	ADJ
ap-7699	1134	28	ghosts	ghost	NOUN
ap-7699	1134	29	as	as	SCONJ
ap-7699	1134	30	proposed	propose	VERB
ap-7699	1134	31	by	by	ADP
ap-7699	1134	32	smilga	smilga	ADJ
ap-7699	1134	33	,	,	PUNCT
ap-7699	1134	34	etc	etc	X
ap-7699	1134	35	.	.	X
ap-7699	1134	36	below	below	ADP
ap-7699	1134	37	we	we	PRON
ap-7699	1134	38	will	will	AUX
ap-7699	1134	39	try	try	VERB
ap-7699	1134	40	to	to	PART
ap-7699	1134	41	describe	describe	VERB
ap-7699	1134	42	some	some	PRON
ap-7699	1134	43	of	of	ADP
ap-7699	1134	44	their	their	PRON
ap-7699	1134	45	methods	method	NOUN
ap-7699	1134	46	and	and	CCONJ
ap-7699	1134	47	show	show	VERB
ap-7699	1134	48	that	that	SCONJ
ap-7699	1134	49	the	the	DET
ap-7699	1134	50	problems	problem	NOUN
ap-7699	1134	51	with	with	ADP
ap-7699	1134	52	unitarity	unitarity	NOUN
ap-7699	1134	53	or	or	CCONJ
ap-7699	1134	54	with	with	ADP
ap-7699	1134	55	the	the	DET
ap-7699	1134	56	stability	stability	NOUN
ap-7699	1134	57	of	of	ADP
ap-7699	1134	58	the	the	DET
ap-7699	1134	59	quantum	quantum	NOUN
ap-7699	1134	60	theory	theory	NOUN
ap-7699	1134	61	can	can	AUX
ap-7699	1134	62	be	be	AUX
ap-7699	1134	63	successfully	successfully	ADV
ap-7699	1134	64	solved	solve	VERB
ap-7699	1134	65	.	.	PUNCT
ap-7699	1135	1	we	we	PRON
ap-7699	1135	2	also	also	ADV
ap-7699	1135	3	provide	provide	VERB
ap-7699	1135	4	arguments	argument	NOUN
ap-7699	1135	5	thanks	thank	NOUN
ap-7699	1135	6	to	to	ADP
ap-7699	1135	7	mannheim	mannheim	PROPN
ap-7699	1135	8	[	[	X
ap-7699	1135	9	57	57	NUM
ap-7699	1135	10	,	,	PUNCT
ap-7699	1135	11	58	58	NUM
ap-7699	1135	12	]	]	PUNCT
ap-7699	1135	13	that	that	SCONJ
ap-7699	1135	14	the	the	DET
ap-7699	1135	15	gravitational	gravitational	ADJ
ap-7699	1135	16	coupled	couple	VERB
ap-7699	1135	17	theory	theory	NOUN
ap-7699	1135	18	must	must	AUX
ap-7699	1135	19	be	be	AUX
ap-7699	1135	20	without	without	ADP
ap-7699	1135	21	problems	problem	NOUN
ap-7699	1135	22	of	of	ADP
ap-7699	1135	23	this	this	DET
ap-7699	1135	24	type	type	NOUN
ap-7699	1135	25	,	,	PUNCT
ap-7699	1135	26	if	if	SCONJ
ap-7699	1135	27	the	the	DET
ap-7699	1135	28	original	original	ADJ
ap-7699	1135	29	matter	matter	NOUN
ap-7699	1135	30	theory	theory	NOUN
ap-7699	1135	31	was	be	AUX
ap-7699	1135	32	completely	completely	ADV
ap-7699	1135	33	consistent	consistent	ADJ
ap-7699	1135	34	.	.	PUNCT
ap-7699	1136	1	we	we	PRON
ap-7699	1136	2	first	first	ADV
ap-7699	1136	3	express	express	VERB
ap-7699	1136	4	the	the	DET
ap-7699	1136	5	view	view	NOUN
ap-7699	1136	6	that	that	SCONJ
ap-7699	1136	7	the	the	DET
ap-7699	1136	8	stability	stability	NOUN
ap-7699	1136	9	of	of	ADP
ap-7699	1136	10	the	the	DET
ap-7699	1136	11	quantum	quantum	NOUN
ap-7699	1136	12	theory	theory	NOUN
ap-7699	1136	13	is	be	AUX
ap-7699	1136	14	fundamental	fundamental	ADJ
ap-7699	1136	15	,	,	PUNCT
ap-7699	1136	16	while	while	SCONJ
ap-7699	1136	17	the	the	DET
ap-7699	1136	18	classical	classical	ADJ
ap-7699	1136	19	theory	theory	NOUN
ap-7699	1136	20	may	may	AUX
ap-7699	1136	21	emerge	emerge	VERB
ap-7699	1136	22	from	from	ADP
ap-7699	1136	23	it	it	PRON
ap-7699	1136	24	only	only	ADV
ap-7699	1136	25	in	in	ADP
ap-7699	1136	26	some	some	DET
ap-7699	1136	27	properly	properly	ADV
ap-7699	1136	28	defined	define	VERB
ap-7699	1136	29	limits	limit	NOUN
ap-7699	1136	30	.	.	PUNCT
ap-7699	1137	1	hence	hence	ADV
ap-7699	1137	2	we	we	PRON
ap-7699	1137	3	should	should	AUX
ap-7699	1137	4	care	care	VERB
ap-7699	1137	5	more	more	ADJ
ap-7699	1137	6	about	about	ADP
ap-7699	1137	7	the	the	DET
ap-7699	1137	8	full	full	ADJ
ap-7699	1137	9	even	even	ADV
ap-7699	1137	10	non	non	ADJ
ap-7699	1137	11	-	-	ADJ
ap-7699	1137	12	linear	linear	ADJ
ap-7699	1137	13	stability	stability	NOUN
ap-7699	1137	14	on	on	ADP
ap-7699	1137	15	the	the	DET
ap-7699	1137	16	quantum	quantum	ADJ
ap-7699	1137	17	level	level	NOUN
ap-7699	1137	18	and	and	CCONJ
ap-7699	1137	19	some	some	DET
ap-7699	1137	20	instabilities	instability	NOUN
ap-7699	1137	21	on	on	ADP
ap-7699	1137	22	the	the	DET
ap-7699	1137	23	classical	classical	ADJ
ap-7699	1137	24	level	level	NOUN
ap-7699	1137	25	may	may	AUX
ap-7699	1137	26	be	be	AUX
ap-7699	1137	27	just	just	ADV
ap-7699	1137	28	artifacts	artifact	NOUN
ap-7699	1137	29	of	of	ADP
ap-7699	1137	30	using	use	VERB
ap-7699	1137	31	classical	classical	ADJ
ap-7699	1137	32	theory	theory	NOUN
ap-7699	1137	33	which	which	PRON
ap-7699	1137	34	can	can	AUX
ap-7699	1137	35	not	not	PART
ap-7699	1137	36	be	be	AUX
ap-7699	1137	37	defined	define	VERB
ap-7699	1137	38	by	by	ADP
ap-7699	1137	39	itself	itself	PRON
ap-7699	1137	40	without	without	ADP
ap-7699	1137	41	any	any	DET
ap-7699	1137	42	reference	reference	NOUN
ap-7699	1137	43	to	to	ADP
ap-7699	1137	44	the	the	DET
ap-7699	1137	45	original	original	ADJ
ap-7699	1137	46	fundamental	fundamental	ADJ
ap-7699	1137	47	quantum	quantum	NOUN
ap-7699	1137	48	theory	theory	NOUN
ap-7699	1137	49	.	.	PUNCT
ap-7699	1138	1	an	an	DET
ap-7699	1138	2	attempt	attempt	NOUN
ap-7699	1138	3	to	to	PART
ap-7699	1138	4	understand	understand	VERB
ap-7699	1138	5	the	the	DET
ap-7699	1138	6	stability	stability	NOUN
ap-7699	1138	7	entirely	entirely	ADV
ap-7699	1138	8	in	in	ADP
ap-7699	1138	9	classical	classical	ADJ
ap-7699	1138	10	terms	term	NOUN
ap-7699	1138	11	may	may	AUX
ap-7699	1138	12	be	be	AUX
ap-7699	1138	13	doomed	doom	VERB
ap-7699	1138	14	to	to	PART
ap-7699	1138	15	clearly	clearly	ADV
ap-7699	1138	16	fail	fail	VERB
ap-7699	1138	17	since	since	SCONJ
ap-7699	1138	18	forgetting	forget	VERB
ap-7699	1138	19	about	about	ADP
ap-7699	1138	20	the	the	DET
ap-7699	1138	21	quantum	quantum	ADJ
ap-7699	1138	22	origin	origin	NOUN
ap-7699	1138	23	may	may	AUX
ap-7699	1138	24	be	be	AUX
ap-7699	1138	25	here	here	ADV
ap-7699	1138	26	detrimental	detrimental	ADJ
ap-7699	1138	27	for	for	ADP
ap-7699	1138	28	the	the	DET
ap-7699	1138	29	limiting	limit	VERB
ap-7699	1138	30	process	process	NOUN
ap-7699	1138	31	.	.	PUNCT
ap-7699	1139	1	if	if	SCONJ
ap-7699	1139	2	the	the	DET
ap-7699	1139	3	quantum	quantum	NOUN
ap-7699	1139	4	theory	theory	NOUN
ap-7699	1139	5	is	be	AUX
ap-7699	1139	6	stable	stable	ADJ
ap-7699	1139	7	and	and	CCONJ
ap-7699	1139	8	unitarity	unitarity	NOUN
ap-7699	1139	9	is	be	AUX
ap-7699	1139	10	preserved	preserve	VERB
ap-7699	1139	11	,	,	PUNCT
ap-7699	1139	12	then	then	ADV
ap-7699	1139	13	this	this	PRON
ap-7699	1139	14	is	be	AUX
ap-7699	1139	15	the	the	DET
ap-7699	1139	16	only	only	ADJ
ap-7699	1139	17	thing	thing	NOUN
ap-7699	1139	18	we	we	PRON
ap-7699	1139	19	should	should	AUX
ap-7699	1139	20	require	require	VERB
ap-7699	1139	21	since	since	SCONJ
ap-7699	1139	22	the	the	DET
ap-7699	1139	23	world	world	NOUN
ap-7699	1139	24	is	be	AUX
ap-7699	1139	25	in	in	ADP
ap-7699	1139	26	its	its	PRON
ap-7699	1139	27	nature	nature	NOUN
ap-7699	1139	28	quantum	quantum	NOUN
ap-7699	1139	29	and	and	CCONJ
ap-7699	1139	30	physically	physically	ADV
ap-7699	1139	31	we	we	PRON
ap-7699	1139	32	know	know	VERB
ap-7699	1139	33	that	that	SCONJ
ap-7699	1139	34	it	it	PRON
ap-7699	1139	35	is	be	AUX
ap-7699	1139	36	true	true	ADJ
ap-7699	1139	37	that	that	SCONJ
ap-7699	1139	38	ℏ	ℏ	PRON
ap-7699	1139	39	=	=	SYM
ap-7699	1139	40	1	1	NUM
ap-7699	1139	41	in	in	ADP
ap-7699	1139	42	proper	proper	ADJ
ap-7699	1139	43	units	unit	NOUN
ap-7699	1139	44	,	,	PUNCT
ap-7699	1139	45	rather	rather	ADV
ap-7699	1139	46	than	than	ADP
ap-7699	1139	47	ℏ	ℏ	PROPN
ap-7699	1139	48	→	→	SYM
ap-7699	1139	49	0	0	NUM
ap-7699	1139	50	,	,	PUNCT
ap-7699	1139	51	so	so	ADV
ap-7699	1139	52	the	the	DET
ap-7699	1139	53	classical	classical	ADJ
ap-7699	1139	54	limit	limit	NOUN
ap-7699	1139	55	may	may	AUX
ap-7699	1139	56	be	be	AUX
ap-7699	1139	57	only	only	ADV
ap-7699	1139	58	some	some	DET
ap-7699	1139	59	kind	kind	NOUN
ap-7699	1139	60	of	of	ADP
ap-7699	1139	61	illusion	illusion	NOUN
ap-7699	1139	62	.	.	PUNCT
ap-7699	1140	1	if	if	SCONJ
ap-7699	1140	2	there	there	PRON
ap-7699	1140	3	are	be	VERB
ap-7699	1140	4	problems	problem	NOUN
ap-7699	1140	5	with	with	ADP
ap-7699	1140	6	classical	classical	ADJ
ap-7699	1140	7	stability	stability	NOUN
ap-7699	1140	8	analysis	analysis	NOUN
ap-7699	1140	9	like	like	ADP
ap-7699	1140	10	this	this	PRON
ap-7699	1140	11	done	do	VERB
ap-7699	1140	12	originally	originally	ADV
ap-7699	1140	13	by	by	ADP
ap-7699	1140	14	ostrogradsky	ostrogradsky	ADJ
ap-7699	1140	15	,	,	PUNCT
ap-7699	1140	16	then	then	ADV
ap-7699	1140	17	this	this	PRON
ap-7699	1140	18	may	may	AUX
ap-7699	1140	19	only	only	ADV
ap-7699	1140	20	mean	mean	VERB
ap-7699	1140	21	that	that	SCONJ
ap-7699	1140	22	the	the	DET
ap-7699	1140	23	classical	classical	ADJ
ap-7699	1140	24	theory	theory	NOUN
ap-7699	1140	25	obtained	obtain	VERB
ap-7699	1140	26	this	this	DET
ap-7699	1140	27	way	way	NOUN
ap-7699	1140	28	neglects	neglect	VERB
ap-7699	1140	29	some	some	DET
ap-7699	1140	30	important	important	ADJ
ap-7699	1140	31	features	feature	NOUN
ap-7699	1140	32	that	that	PRON
ap-7699	1140	33	were	be	AUX
ap-7699	1140	34	relevant	relevant	ADJ
ap-7699	1140	35	on	on	ADP
ap-7699	1140	36	the	the	DET
ap-7699	1140	37	quantum	quantum	ADJ
ap-7699	1140	38	level	level	NOUN
ap-7699	1140	39	for	for	ADP
ap-7699	1140	40	the	the	DET
ap-7699	1140	41	full	full	ADJ
ap-7699	1140	42	quantum	quantum	ADJ
ap-7699	1140	43	stability	stability	NOUN
ap-7699	1140	44	of	of	ADP
ap-7699	1140	45	the	the	DET
ap-7699	1140	46	system	system	NOUN
ap-7699	1140	47	.	.	PUNCT
ap-7699	1141	1	first	first	ADV
ap-7699	1141	2	,	,	PUNCT
ap-7699	1141	3	in	in	ADP
ap-7699	1141	4	anselmi	anselmi	ADJ
ap-7699	1141	5	-	-	PUNCT
ap-7699	1141	6	piva	piva	ADJ
ap-7699	1141	7	prescription	prescription	NOUN
ap-7699	1141	8	one	one	NUM
ap-7699	1141	9	solves	solve	VERB
ap-7699	1141	10	completely	completely	ADV
ap-7699	1141	11	the	the	DET
ap-7699	1141	12	unitarity	unitarity	NOUN
ap-7699	1141	13	issue	issue	NOUN
ap-7699	1141	14	for	for	ADP
ap-7699	1141	15	hd	hd	NOUN
ap-7699	1141	16	theories	theory	NOUN
ap-7699	1141	17	by	by	ADP
ap-7699	1141	18	invoking	invoke	VERB
ap-7699	1141	19	fakeon	fakeon	NOUN
ap-7699	1141	20	prescription	prescription	NOUN
ap-7699	1141	21	to	to	PART
ap-7699	1141	22	take	take	VERB
ap-7699	1141	23	properly	properly	ADV
ap-7699	1141	24	into	into	ADP
ap-7699	1141	25	account	account	NOUN
ap-7699	1141	26	the	the	DET
ap-7699	1141	27	contribution	contribution	NOUN
ap-7699	1141	28	of	of	ADP
ap-7699	1141	29	particles	particle	NOUN
ap-7699	1141	30	which	which	PRON
ap-7699	1141	31	in	in	ADP
ap-7699	1141	32	the	the	DET
ap-7699	1141	33	spectrum	spectrum	NOUN
ap-7699	1141	34	are	be	AUX
ap-7699	1141	35	related	relate	VERB
ap-7699	1141	36	to	to	ADP
ap-7699	1141	37	higher	high	ADJ
ap-7699	1141	38	derivatives	derivative	NOUN
ap-7699	1141	39	theories	theory	NOUN
ap-7699	1141	40	and	and	CCONJ
ap-7699	1141	41	which	which	PRON
ap-7699	1141	42	typically	typically	ADV
ap-7699	1141	43	are	be	AUX
ap-7699	1141	44	considered	consider	VERB
ap-7699	1141	45	as	as	ADP
ap-7699	1141	46	dangerous	dangerous	ADJ
ap-7699	1141	47	for	for	ADP
ap-7699	1141	48	the	the	DET
ap-7699	1141	49	unitarity	unitarity	NOUN
ap-7699	1141	50	of	of	ADP
ap-7699	1141	51	the	the	DET
ap-7699	1141	52	theory	theory	NOUN
ap-7699	1141	53	.	.	PUNCT
ap-7699	1142	1	the	the	DET
ap-7699	1142	2	presence	presence	NOUN
ap-7699	1142	3	of	of	ADP
ap-7699	1142	4	a	a	DET
ap-7699	1142	5	particle	particle	NOUN
ap-7699	1142	6	with	with	ADP
ap-7699	1142	7	negative	negative	ADJ
ap-7699	1142	8	residue	residue	NOUN
ap-7699	1142	9	called	call	VERB
ap-7699	1142	10	a	a	DET
ap-7699	1142	11	ghost	ghost	NOUN
ap-7699	1142	12	at	at	ADP
ap-7699	1142	13	the	the	DET
ap-7699	1142	14	classical	classical	ADJ
ap-7699	1142	15	level	level	NOUN
ap-7699	1142	16	makes	make	VERB
ap-7699	1142	17	the	the	DET
ap-7699	1142	18	theory	theory	NOUN
ap-7699	1142	19	not	not	PART
ap-7699	1142	20	unitary	unitary	ADJ
ap-7699	1142	21	in	in	ADP
ap-7699	1142	22	its	its	PRON
ap-7699	1142	23	original	original	ADJ
ap-7699	1142	24	quantization	quantization	NOUN
ap-7699	1142	25	based	base	VERB
ap-7699	1142	26	on	on	ADP
ap-7699	1142	27	the	the	DET
ap-7699	1142	28	standard	standard	ADJ
ap-7699	1142	29	feynman	feynman	ADJ
ap-7699	1142	30	prescription	prescription	NOUN
ap-7699	1143	1	[	[	X
ap-7699	1143	2	7	7	NUM
ap-7699	1143	3	]	]	PUNCT
ap-7699	1143	4	of	of	ADP
ap-7699	1143	5	encircling	encircle	VERB
ap-7699	1143	6	the	the	DET
ap-7699	1143	7	poles	pole	NOUN
ap-7699	1143	8	for	for	ADP
ap-7699	1143	9	the	the	DET
ap-7699	1143	10	loop	loop	NOUN
ap-7699	1143	11	integrals	integral	NOUN
ap-7699	1143	12	.	.	PUNCT
ap-7699	1144	1	a	a	DET
ap-7699	1144	2	new	new	ADJ
ap-7699	1144	3	quantum	quantum	ADJ
ap-7699	1144	4	prescription	prescription	NOUN
ap-7699	1144	5	,	,	PUNCT
ap-7699	1144	6	as	as	SCONJ
ap-7699	1144	7	recently	recently	ADV
ap-7699	1144	8	introduced	introduce	VERB
ap-7699	1144	9	by	by	ADP
ap-7699	1144	10	anselmi	anselmi	ADV
ap-7699	1144	11	and	and	CCONJ
ap-7699	1144	12	piva	piva	X
ap-7699	1144	13	[	[	X
ap-7699	1144	14	59–61	59–61	NUM
ap-7699	1144	15	]	]	PUNCT
ap-7699	1144	16	was	be	AUX
ap-7699	1144	17	based	base	VERB
ap-7699	1144	18	on	on	ADP
ap-7699	1144	19	the	the	DET
ap-7699	1144	20	earlier	early	ADJ
ap-7699	1144	21	works	work	NOUN
ap-7699	1144	22	by	by	ADP
ap-7699	1144	23	cutkosky	cutkosky	NOUN
ap-7699	1144	24	,	,	PUNCT
ap-7699	1144	25	landshoff	landshoff	NOUN
ap-7699	1144	26	,	,	PUNCT
ap-7699	1144	27	olive	olive	NOUN
ap-7699	1144	28	,	,	PUNCT
ap-7699	1144	29	and	and	CCONJ
ap-7699	1144	30	polkinghorne	polkinghorne	VERB
ap-7699	1144	31	[	[	PUNCT
ap-7699	1144	32	62	62	NUM
ap-7699	1144	33	]	]	PUNCT
ap-7699	1144	34	.	.	PUNCT
ap-7699	1145	1	the	the	DET
ap-7699	1145	2	former	former	ADJ
ap-7699	1145	3	authors	author	NOUN
ap-7699	1145	4	invented	invent	VERB
ap-7699	1145	5	a	a	DET
ap-7699	1145	6	procedure	procedure	NOUN
ap-7699	1145	7	for	for	ADP
ap-7699	1145	8	the	the	DET
ap-7699	1145	9	leewick	leewick	NOUN
ap-7699	1145	10	theories	theory	NOUN
ap-7699	1145	11	[	[	X
ap-7699	1145	12	63	63	NUM
ap-7699	1145	13	,	,	PUNCT
ap-7699	1145	14	64	64	NUM
ap-7699	1145	15	]	]	PUNCT
ap-7699	1145	16	,	,	PUNCT
ap-7699	1145	17	which	which	PRON
ap-7699	1145	18	allow	allow	VERB
ap-7699	1145	19	them	they	PRON
ap-7699	1145	20	to	to	PART
ap-7699	1145	21	tame	tame	VERB
ap-7699	1145	22	the	the	DET
ap-7699	1145	23	effects	effect	NOUN
ap-7699	1145	24	typically	typically	ADV
ap-7699	1145	25	associated	associate	VERB
ap-7699	1145	26	to	to	ADP
ap-7699	1145	27	the	the	DET
ap-7699	1145	28	presence	presence	NOUN
ap-7699	1145	29	of	of	ADP
ap-7699	1145	30	ghosts	ghost	NOUN
ap-7699	1145	31	in	in	ADP
ap-7699	1145	32	the	the	DET
ap-7699	1145	33	stelle	stelle	PROPN
ap-7699	1145	34	’s	’s	PART
ap-7699	1145	35	theory	theory	NOUN
ap-7699	1145	36	.	.	PUNCT
ap-7699	1146	1	in	in	ADP
ap-7699	1146	2	this	this	DET
ap-7699	1146	3	picture	picture	NOUN
ap-7699	1146	4	,	,	PUNCT
ap-7699	1146	5	the	the	DET
ap-7699	1146	6	ghost	ghost	NOUN
ap-7699	1146	7	problem	problem	NOUN
ap-7699	1146	8	(	(	PUNCT
ap-7699	1146	9	also	also	ADV
ap-7699	1146	10	known	know	VERB
ap-7699	1146	11	as	as	ADP
ap-7699	1146	12	unitarity	unitarity	PROPN
ap-7699	1146	13	problem	problem	NOUN
ap-7699	1146	14	)	)	PUNCT
ap-7699	1146	15	is	be	AUX
ap-7699	1146	16	solved	solve	VERB
ap-7699	1146	17	consequently	consequently	ADV
ap-7699	1146	18	at	at	ADP
ap-7699	1146	19	any	any	DET
ap-7699	1146	20	perturbative	perturbative	ADJ
ap-7699	1146	21	order	order	NOUN
ap-7699	1146	22	in	in	ADP
ap-7699	1146	23	the	the	DET
ap-7699	1146	24	loop	loop	NOUN
ap-7699	1146	25	expansion	expansion	NOUN
ap-7699	1146	26	[	[	X
ap-7699	1146	27	61	61	NUM
ap-7699	1146	28	]	]	PUNCT
ap-7699	1146	29	done	do	VERB
ap-7699	1146	30	for	for	ADP
ap-7699	1146	31	the	the	DET
ap-7699	1146	32	loop	loop	NOUN
ap-7699	1146	33	integrals	integral	NOUN
ap-7699	1146	34	which	which	PRON
ap-7699	1146	35	need	need	VERB
ap-7699	1146	36	to	to	PART
ap-7699	1146	37	be	be	AUX
ap-7699	1146	38	computed	compute	VERB
ap-7699	1146	39	in	in	ADP
ap-7699	1146	40	any	any	DET
ap-7699	1146	41	qft	qft	NOUN
ap-7699	1146	42	,	,	PUNCT
ap-7699	1146	43	if	if	SCONJ
ap-7699	1146	44	one	one	PRON
ap-7699	1146	45	requires	require	VERB
ap-7699	1146	46	higher	high	ADJ
ap-7699	1146	47	order	order	NOUN
ap-7699	1146	48	accuracy	accuracy	NOUN
ap-7699	1146	49	.	.	PUNCT
ap-7699	1147	1	at	at	ADP
ap-7699	1147	2	the	the	DET
ap-7699	1147	3	classical	classical	ADJ
ap-7699	1147	4	level	level	NOUN
ap-7699	1147	5	,	,	PUNCT
ap-7699	1147	6	the	the	DET
ap-7699	1147	7	ghost	ghost	NOUN
ap-7699	1147	8	particle	particle	NOUN
ap-7699	1147	9	(	(	PUNCT
ap-7699	1147	10	or	or	CCONJ
ap-7699	1147	11	what	what	PRON
ap-7699	1147	12	anselmi	anselmi	ADJ
ap-7699	1147	13	and	and	CCONJ
ap-7699	1147	14	piva	piva	PROPN
ap-7699	1147	15	define	define	VERB
ap-7699	1147	16	as	as	ADP
ap-7699	1147	17	“	"	PUNCT
ap-7699	1147	18	fakeon	fakeon	NOUN
ap-7699	1147	19	”	"	PUNCT
ap-7699	1147	20	,	,	PUNCT
ap-7699	1147	21	because	because	SCONJ
ap-7699	1147	22	this	this	DET
ap-7699	1147	23	particle	particle	NOUN
ap-7699	1147	24	understood	understand	VERB
ap-7699	1147	25	as	as	ADP
ap-7699	1147	26	a	a	DET
ap-7699	1147	27	quantum	quantum	ADJ
ap-7699	1147	28	state	state	NOUN
ap-7699	1147	29	can	can	AUX
ap-7699	1147	30	only	only	ADV
ap-7699	1147	31	appear	appear	VERB
ap-7699	1147	32	as	as	ADP
ap-7699	1147	33	a	a	DET
ap-7699	1147	34	virtual	virtual	ADJ
ap-7699	1147	35	particle	particle	NOUN
ap-7699	1147	36	and	and	CCONJ
ap-7699	1147	37	inside	inside	ADP
ap-7699	1147	38	perturbative	perturbative	ADJ
ap-7699	1147	39	loops	loop	NOUN
ap-7699	1147	40	)	)	PUNCT
ap-7699	1147	41	is	be	AUX
ap-7699	1147	42	removed	remove	VERB
ap-7699	1147	43	from	from	ADP
ap-7699	1147	44	the	the	DET
ap-7699	1147	45	perturbative	perturbative	ADJ
ap-7699	1147	46	spectrum	spectrum	NOUN
ap-7699	1147	47	of	of	ADP
ap-7699	1147	48	the	the	DET
ap-7699	1147	49	theory	theory	NOUN
ap-7699	1147	50	.	.	PUNCT
ap-7699	1148	1	this	this	PRON
ap-7699	1148	2	is	be	AUX
ap-7699	1148	3	done	do	VERB
ap-7699	1148	4	by	by	ADP
ap-7699	1148	5	solving	solve	VERB
ap-7699	1148	6	the	the	DET
ap-7699	1148	7	classical	classical	ADJ
ap-7699	1148	8	equations	equation	NOUN
ap-7699	1148	9	of	of	ADP
ap-7699	1148	10	motion	motion	NOUN
ap-7699	1148	11	for	for	ADP
ap-7699	1148	12	the	the	DET
ap-7699	1148	13	fakeon	fakeon	NOUN
ap-7699	1148	14	field	field	NOUN
ap-7699	1148	15	by	by	ADP
ap-7699	1148	16	the	the	DET
ap-7699	1148	17	mean	mean	NOUN
ap-7699	1148	18	of	of	ADP
ap-7699	1148	19	a	a	DET
ap-7699	1148	20	very	very	ADV
ap-7699	1148	21	specific	specific	ADJ
ap-7699	1148	22	combination	combination	NOUN
ap-7699	1148	23	of	of	ADP
ap-7699	1148	24	advanced	advanced	ADJ
ap-7699	1148	25	plus	plus	CCONJ
ap-7699	1148	26	retarded	retarded	ADJ
ap-7699	1148	27	green	green	PROPN
ap-7699	1148	28	’s	’s	PART
ap-7699	1148	29	functions	function	NOUN
ap-7699	1148	30	and	and	CCONJ
ap-7699	1148	31	by	by	ADP
ap-7699	1148	32	fixing	fix	VERB
ap-7699	1148	33	to	to	ADP
ap-7699	1148	34	zero	zero	NUM
ap-7699	1148	35	the	the	DET
ap-7699	1148	36	homogeneous	homogeneous	ADJ
ap-7699	1148	37	solution	solution	NOUN
ap-7699	1148	38	of	of	ADP
ap-7699	1148	39	resulting	result	VERB
ap-7699	1148	40	field	field	NOUN
ap-7699	1148	41	equations	equation	NOUN
ap-7699	1148	42	[	[	X
ap-7699	1148	43	65	65	NUM
ap-7699	1148	44	,	,	PUNCT
ap-7699	1148	45	66	66	NUM
ap-7699	1148	46	]	]	PUNCT
ap-7699	1148	47	.	.	PUNCT
ap-7699	1149	1	this	this	PRON
ap-7699	1149	2	is	be	AUX
ap-7699	1149	3	then	then	ADV
ap-7699	1149	4	equivalent	equivalent	ADJ
ap-7699	1149	5	to	to	ADP
ap-7699	1149	6	removing	remove	VERB
ap-7699	1149	7	the	the	DET
ap-7699	1149	8	complex	complex	ADJ
ap-7699	1149	9	ghosts	ghost	NOUN
ap-7699	1149	10	in	in	ADP
ap-7699	1149	11	the	the	DET
ap-7699	1149	12	quantum	quantum	NOUN
ap-7699	1149	13	theory	theory	NOUN
ap-7699	1149	14	from	from	ADP
ap-7699	1149	15	the	the	DET
ap-7699	1149	16	spectrum	spectrum	NOUN
ap-7699	1149	17	of	of	ADP
ap-7699	1149	18	asymptotic	asymptotic	ADJ
ap-7699	1149	19	quantum	quantum	NOUN
ap-7699	1149	20	states	state	NOUN
ap-7699	1149	21	by	by	ADP
ap-7699	1149	22	hand	hand	NOUN
ap-7699	1149	23	.	.	PUNCT
ap-7699	1150	1	however	however	ADV
ap-7699	1150	2	,	,	PUNCT
ap-7699	1150	3	this	this	DET
ap-7699	1150	4	choice	choice	NOUN
ap-7699	1150	5	and	and	CCONJ
ap-7699	1150	6	this	this	DET
ap-7699	1150	7	removal	removal	NOUN
ap-7699	1150	8	decision	decision	NOUN
ap-7699	1150	9	is	be	AUX
ap-7699	1150	10	fully	fully	ADV
ap-7699	1150	11	preserved	preserve	VERB
ap-7699	1150	12	and	and	CCONJ
ap-7699	1150	13	protected	protect	VERB
ap-7699	1150	14	by	by	ADP
ap-7699	1150	15	quantum	quantum	ADJ
ap-7699	1150	16	corrections	correction	NOUN
ap-7699	1150	17	,	,	PUNCT
ap-7699	1150	18	hence	hence	ADV
ap-7699	1150	19	it	it	PRON
ap-7699	1150	20	does	do	AUX
ap-7699	1150	21	not	not	PART
ap-7699	1150	22	invalidate	invalidate	VERB
ap-7699	1150	23	the	the	DET
ap-7699	1150	24	unitarity	unitarity	NOUN
ap-7699	1150	25	of	of	ADP
ap-7699	1150	26	the	the	DET
ap-7699	1150	27	s	s	NOUN
ap-7699	1150	28	-	-	NOUN
ap-7699	1150	29	matrix	matrix	NOUN
ap-7699	1150	30	at	at	ADP
ap-7699	1150	31	higher	high	ADJ
ap-7699	1150	32	loop	loop	NOUN
ap-7699	1150	33	orders	order	NOUN
ap-7699	1150	34	.	.	PUNCT
ap-7699	1151	1	such	such	ADJ
ap-7699	1151	2	prescription	prescription	NOUN
ap-7699	1151	3	of	of	ADP
ap-7699	1151	4	how	how	SCONJ
ap-7699	1151	5	to	to	PART
ap-7699	1151	6	treat	treat	VERB
ap-7699	1151	7	virtual	virtual	ADJ
ap-7699	1151	8	particles	particle	NOUN
ap-7699	1151	9	arising	arise	VERB
ap-7699	1151	10	due	due	ADJ
ap-7699	1151	11	to	to	PART
ap-7699	1151	12	hd	hd	VERB
ap-7699	1151	13	nature	nature	NOUN
ap-7699	1151	14	of	of	ADP
ap-7699	1151	15	the	the	DET
ap-7699	1151	16	theories	theory	NOUN
ap-7699	1151	17	is	be	AUX
ap-7699	1151	18	very	very	ADV
ap-7699	1151	19	general	general	ADJ
ap-7699	1151	20	and	and	CCONJ
ap-7699	1151	21	can	can	AUX
ap-7699	1151	22	be	be	AUX
ap-7699	1151	23	applied	apply	VERB
ap-7699	1151	24	to	to	ADP
ap-7699	1151	25	both	both	CCONJ
ap-7699	1151	26	real	real	ADJ
ap-7699	1151	27	and	and	CCONJ
ap-7699	1151	28	complex	complex	ADJ
ap-7699	1151	29	ghosts	ghost	NOUN
ap-7699	1151	30	,	,	PUNCT
ap-7699	1151	31	and	and	CCONJ
ap-7699	1151	32	also	also	ADV
ap-7699	1151	33	to	to	ADP
ap-7699	1151	34	normal	normal	ADJ
ap-7699	1151	35	particles	particle	NOUN
ap-7699	1151	36	,	,	PUNCT
ap-7699	1151	37	if	if	SCONJ
ap-7699	1151	38	one	one	PRON
ap-7699	1151	39	wishes	wish	VERB
ap-7699	1151	40	to	to	PART
ap-7699	1151	41	.	.	PUNCT
ap-7699	1152	1	(	(	PUNCT
ap-7699	1152	2	every	every	DET
ap-7699	1152	3	particle	particle	NOUN
ap-7699	1152	4	can	can	AUX
ap-7699	1152	5	be	be	AUX
ap-7699	1152	6	made	make	VERB
ap-7699	1152	7	fake	fake	ADJ
ap-7699	1152	8	,	,	PUNCT
ap-7699	1152	9	so	so	CCONJ
ap-7699	1152	10	without	without	ADP
ap-7699	1152	11	observable	observable	ADJ
ap-7699	1152	12	effects	effect	NOUN
ap-7699	1152	13	on	on	ADP
ap-7699	1152	14	the	the	DET
ap-7699	1152	15	unitarity	unitarity	NOUN
ap-7699	1152	16	of	of	ADP
ap-7699	1152	17	the	the	DET
ap-7699	1152	18	theory	theory	NOUN
ap-7699	1152	19	.	.	PUNCT
ap-7699	1152	20	)	)	PUNCT
ap-7699	1153	1	in	in	ADP
ap-7699	1153	2	particular	particular	ADJ
ap-7699	1153	3	,	,	PUNCT
ap-7699	1153	4	this	this	DET
ap-7699	1153	5	prescription	prescription	NOUN
ap-7699	1153	6	is	be	AUX
ap-7699	1153	7	crucial	crucial	ADJ
ap-7699	1153	8	in	in	ADP
ap-7699	1153	9	order	order	NOUN
ap-7699	1153	10	to	to	PART
ap-7699	1153	11	make	make	VERB
ap-7699	1153	12	perturbatively	perturbatively	ADV
ap-7699	1153	13	unitary	unitary	ADJ
ap-7699	1153	14	the	the	DET
ap-7699	1153	15	theory	theory	NOUN
ap-7699	1153	16	proposed	propose	VERB
ap-7699	1153	17	by	by	ADP
ap-7699	1153	18	modesto	modesto	PROPN
ap-7699	1153	19	and	and	CCONJ
ap-7699	1153	20	shapiro	shapiro	PROPN
ap-7699	1153	21	in	in	ADP
ap-7699	1153	22	[	[	X
ap-7699	1153	23	67	67	NUM
ap-7699	1153	24	,	,	PUNCT
ap-7699	1153	25	68	68	NUM
ap-7699	1153	26	]	]	PUNCT
ap-7699	1153	27	which	which	PRON
ap-7699	1153	28	comes	come	VERB
ap-7699	1153	29	under	under	ADP
ap-7699	1153	30	the	the	DET
ap-7699	1153	31	name	name	NOUN
ap-7699	1153	32	of	of	ADP
ap-7699	1153	33	“	"	PUNCT
ap-7699	1153	34	lee	lee	PROPN
ap-7699	1153	35	-	-	PUNCT
ap-7699	1153	36	wick	wick	NOUN
ap-7699	1153	37	quantum	quantum	NOUN
ap-7699	1153	38	gravity	gravity	NOUN
ap-7699	1153	39	”	"	PUNCT
ap-7699	1153	40	.	.	PUNCT
ap-7699	1154	1	the	the	DET
ap-7699	1154	2	latter	latter	ADJ
ap-7699	1154	3	class	class	NOUN
ap-7699	1154	4	of	of	ADP
ap-7699	1154	5	theories	theory	NOUN
ap-7699	1154	6	is	be	AUX
ap-7699	1154	7	based	base	VERB
ap-7699	1154	8	on	on	ADP
ap-7699	1154	9	the	the	DET
ap-7699	1154	10	general	general	ADJ
ap-7699	1154	11	gravitational	gravitational	ADJ
ap-7699	1154	12	higher	high	ADJ
ap-7699	1154	13	-	-	PUNCT
ap-7699	1154	14	derivative	derivative	ADJ
ap-7699	1154	15	actions	action	NOUN
ap-7699	1154	16	as	as	SCONJ
ap-7699	1154	17	proposed	propose	VERB
ap-7699	1154	18	by	by	ADP
ap-7699	1154	19	asorey	asorey	PROPN
ap-7699	1154	20	,	,	PUNCT
ap-7699	1154	21	lopez	lopez	NOUN
ap-7699	1154	22	,	,	PUNCT
ap-7699	1154	23	and	and	CCONJ
ap-7699	1154	24	shapiro	shapiro	PROPN
ap-7699	1155	1	[	[	X
ap-7699	1155	2	12	12	NUM
ap-7699	1155	3	]	]	PUNCT
ap-7699	1155	4	.	.	PUNCT
ap-7699	1156	1	in	in	ADP
ap-7699	1156	2	this	this	DET
ap-7699	1156	3	range	range	NOUN
ap-7699	1156	4	of	of	ADP
ap-7699	1156	5	theories	theory	NOUN
ap-7699	1156	6	,	,	PUNCT
ap-7699	1156	7	we	we	PRON
ap-7699	1156	8	can	can	AUX
ap-7699	1156	9	safely	safely	ADV
ap-7699	1156	10	state	state	VERB
ap-7699	1156	11	to	to	PART
ap-7699	1156	12	have	have	VERB
ap-7699	1156	13	a	a	DET
ap-7699	1156	14	class	class	NOUN
ap-7699	1156	15	of	of	ADP
ap-7699	1156	16	super	super	NOUN
ap-7699	1156	17	-	-	ADJ
ap-7699	1156	18	renormalizable	renormalizable	ADJ
ap-7699	1156	19	or	or	CCONJ
ap-7699	1156	20	uv	uv	NOUN
ap-7699	1156	21	-	-	PUNCT
ap-7699	1156	22	finite	finite	ADJ
ap-7699	1156	23	and	and	CCONJ
ap-7699	1156	24	unitary	unitary	ADJ
ap-7699	1156	25	higher	high	ADJ
ap-7699	1156	26	-	-	PUNCT
ap-7699	1156	27	derivative	derivative	ADJ
ap-7699	1156	28	theories	theory	NOUN
ap-7699	1156	29	of	of	ADP
ap-7699	1156	30	qg	qg	PROPN
ap-7699	1156	31	.	.	PUNCT
ap-7699	1157	1	in	in	ADP
ap-7699	1157	2	order	order	NOUN
ap-7699	1157	3	to	to	PART
ap-7699	1157	4	guarantee	guarantee	VERB
ap-7699	1157	5	tree	tree	NOUN
ap-7699	1157	6	-	-	PUNCT
ap-7699	1157	7	level	level	NOUN
ap-7699	1157	8	unitarity	unitarity	NOUN
ap-7699	1157	9	,	,	PUNCT
ap-7699	1157	10	the	the	DET
ap-7699	1157	11	theory	theory	NOUN
ap-7699	1157	12	in	in	ADP
ap-7699	1157	13	[	[	X
ap-7699	1157	14	67	67	NUM
ap-7699	1157	15	,	,	PUNCT
ap-7699	1157	16	68	68	NUM
ap-7699	1157	17	]	]	PUNCT
ap-7699	1157	18	has	have	AUX
ap-7699	1157	19	been	be	AUX
ap-7699	1157	20	constructed	construct	VERB
ap-7699	1157	21	in	in	ADP
ap-7699	1157	22	such	such	DET
ap-7699	1157	23	a	a	DET
ap-7699	1157	24	way	way	NOUN
ap-7699	1157	25	that	that	PRON
ap-7699	1157	26	it	it	PRON
ap-7699	1157	27	shows	show	VERB
ap-7699	1157	28	up	up	ADP
ap-7699	1157	29	only	only	ADV
ap-7699	1157	30	complex	complex	ADJ
ap-7699	1157	31	conjugate	conjugate	ADJ
ap-7699	1157	32	poles	pole	NOUN
ap-7699	1157	33	in	in	ADP
ap-7699	1157	34	the	the	DET
ap-7699	1157	35	graviton	graviton	NOUN
ap-7699	1157	36	’s	’s	PART
ap-7699	1157	37	propagator	propagator	NOUN
ap-7699	1157	38	,	,	PUNCT
ap-7699	1157	39	besides	besides	SCONJ
ap-7699	1157	40	the	the	DET
ap-7699	1157	41	standard	standard	ADJ
ap-7699	1157	42	spin-2	spin-2	NUM
ap-7699	1157	43	pole	pole	NOUN
ap-7699	1157	44	typically	typically	ADV
ap-7699	1157	45	associated	associate	VERB
ap-7699	1157	46	with	with	ADP
ap-7699	1157	47	the	the	DET
ap-7699	1157	48	normal	normal	ADJ
ap-7699	1157	49	massless	massless	NOUN
ap-7699	1157	50	graviton	graviton	NOUN
ap-7699	1157	51	particle	particle	NOUN
ap-7699	1157	52	with	with	ADP
ap-7699	1157	53	two	two	NUM
ap-7699	1157	54	polarizations	polarization	NOUN
ap-7699	1157	55	.	.	PUNCT
ap-7699	1158	1	afterwards	afterwards	ADV
ap-7699	1158	2	,	,	PUNCT
ap-7699	1158	3	the	the	DET
ap-7699	1158	4	new	new	ADJ
ap-7699	1158	5	prescription	prescription	NOUN
ap-7699	1158	6	by	by	ADP
ap-7699	1158	7	anselmi	anselmi	ADV
ap-7699	1158	8	and	and	CCONJ
ap-7699	1158	9	piva	piva	X
ap-7699	1159	1	[	[	X
ap-7699	1159	2	61	61	NUM
ap-7699	1159	3	]	]	PUNCT
ap-7699	1159	4	guarantees	guarantee	VERB
ap-7699	1159	5	the	the	DET
ap-7699	1159	6	unitarity	unitarity	NOUN
ap-7699	1159	7	of	of	ADP
ap-7699	1159	8	this	this	DET
ap-7699	1159	9	theory	theory	NOUN
ap-7699	1159	10	at	at	ADP
ap-7699	1159	11	any	any	DET
ap-7699	1159	12	perturbative	perturbative	ADJ
ap-7699	1159	13	order	order	NOUN
ap-7699	1159	14	in	in	ADP
ap-7699	1159	15	the	the	DET
ap-7699	1159	16	loop	loop	NOUN
ap-7699	1159	17	expansion	expansion	NOUN
ap-7699	1159	18	.	.	PUNCT
ap-7699	1160	1	we	we	PRON
ap-7699	1160	2	also	also	ADV
ap-7699	1160	3	emphasize	emphasize	VERB
ap-7699	1160	4	that	that	SCONJ
ap-7699	1160	5	the	the	DET
ap-7699	1160	6	stelle	stelle	PROPN
ap-7699	1160	7	’s	’s	PART
ap-7699	1160	8	quadratic	quadratic	ADJ
ap-7699	1160	9	theory	theory	NOUN
ap-7699	1160	10	in	in	ADP
ap-7699	1160	11	gravitational	gravitational	ADJ
ap-7699	1160	12	curvatures	curvature	NOUN
ap-7699	1160	13	[	[	X
ap-7699	1160	14	7	7	X
ap-7699	1160	15	]	]	PUNCT
ap-7699	1160	16	with	with	ADP
ap-7699	1160	17	the	the	DET
ap-7699	1160	18	anselmi	anselmi	ADJ
ap-7699	1160	19	-	-	PUNCT
ap-7699	1160	20	piva	piva	ADJ
ap-7699	1160	21	prescription	prescription	NOUN
ap-7699	1160	22	is	be	AUX
ap-7699	1160	23	the	the	DET
ap-7699	1160	24	only	only	ADJ
ap-7699	1160	25	strictly	strictly	ADV
ap-7699	1160	26	renormalizable	renormalizable	ADJ
ap-7699	1160	27	theory	theory	NOUN
ap-7699	1160	28	of	of	ADP
ap-7699	1160	29	gravity	gravity	NOUN
ap-7699	1160	30	in	in	ADP
ap-7699	1160	31	d	d	PROPN
ap-7699	1160	32	=	=	SYM
ap-7699	1160	33	4	4	NUM
ap-7699	1160	34	spacetime	spacetime	NOUN
ap-7699	1160	35	dimensions	dimension	NOUN
ap-7699	1160	36	,	,	PUNCT
ap-7699	1160	37	while	while	SCONJ
ap-7699	1160	38	the	the	DET
ap-7699	1160	39	theories	theory	NOUN
ap-7699	1160	40	proposed	propose	VERB
ap-7699	1160	41	in	in	ADP
ap-7699	1160	42	[	[	X
ap-7699	1160	43	67	67	NUM
ap-7699	1160	44	,	,	PUNCT
ap-7699	1160	45	68	68	NUM
ap-7699	1160	46	]	]	PUNCT
ap-7699	1160	47	are	be	AUX
ap-7699	1160	48	from	from	ADP
ap-7699	1160	49	a	a	DET
ap-7699	1160	50	large	large	ADJ
ap-7699	1160	51	(	(	PUNCT
ap-7699	1160	52	in	in	ADP
ap-7699	1160	53	principle	principle	ADJ
ap-7699	1160	54	infinite	infinite	NOUN
ap-7699	1160	55	)	)	PUNCT
ap-7699	1160	56	class	class	NOUN
ap-7699	1160	57	of	of	ADP
ap-7699	1160	58	super	super	NOUN
ap-7699	1160	59	-	-	ADJ
ap-7699	1160	60	renormalizable	renormalizable	ADJ
ap-7699	1160	61	or	or	CCONJ
ap-7699	1160	62	uvfinite	uvfinite	ADJ
ap-7699	1160	63	models	model	NOUN
ap-7699	1160	64	for	for	ADP
ap-7699	1160	65	quantum	quantum	NOUN
ap-7699	1160	66	gravity	gravity	NOUN
ap-7699	1160	67	.	.	PUNCT
ap-7699	1161	1	next	next	ADV
ap-7699	1161	2	,	,	PUNCT
ap-7699	1161	3	in	in	ADP
ap-7699	1161	4	the	the	DET
ap-7699	1161	5	other	other	ADJ
ap-7699	1161	6	approach	approach	NOUN
ap-7699	1161	7	pioneered	pioneer	VERB
ap-7699	1161	8	by	by	ADP
ap-7699	1161	9	bender	bender	NOUN
ap-7699	1161	10	and	and	CCONJ
ap-7699	1161	11	mannheim	mannheim	PROPN
ap-7699	1161	12	to	to	ADP
ap-7699	1161	13	higher	high	ADJ
ap-7699	1161	14	-	-	PUNCT
ap-7699	1161	15	derivative	derivative	ADJ
ap-7699	1161	16	theories	theory	NOUN
ap-7699	1161	17	and	and	CCONJ
ap-7699	1161	18	to	to	ADP
ap-7699	1161	19	non	non	ADJ
ap-7699	1161	20	-	-	ADJ
ap-7699	1161	21	symmetric	symmetric	ADJ
ap-7699	1161	22	and	and	CCONJ
ap-7699	1161	23	non	non	ADJ
ap-7699	1161	24	-	-	ADJ
ap-7699	1161	25	hermitian	hermitian	ADJ
ap-7699	1161	26	quantum	quantum	NOUN
ap-7699	1161	27	mechan149	mechan149	PUNCT
ap-7699	1161	28	lesław	lesław	PROPN
ap-7699	1161	29	rachwał	rachwał	PROPN
ap-7699	1161	30	acta	acta	PROPN
ap-7699	1161	31	polytechnica	polytechnica	PROPN
ap-7699	1161	32	ics	ics	PROPN
ap-7699	1161	33	[	[	X
ap-7699	1161	34	69	69	NUM
ap-7699	1161	35	,	,	PUNCT
ap-7699	1161	36	70	70	NUM
ap-7699	1161	37	]	]	PUNCT
ap-7699	1161	38	,	,	PUNCT
ap-7699	1161	39	one	one	PRON
ap-7699	1161	40	exploits	exploit	VERB
ap-7699	1161	41	the	the	DET
ap-7699	1161	42	power	power	NOUN
ap-7699	1161	43	of	of	ADP
ap-7699	1161	44	nonhermitian	nonhermitian	ADJ
ap-7699	1161	45	pt	pt	NOUN
ap-7699	1161	46	-symmetric	-symmetric	ADJ
ap-7699	1161	47	quantum	quantum	NOUN
ap-7699	1161	48	gravity	gravity	NOUN
ap-7699	1161	49	.	.	PUNCT
ap-7699	1162	1	here	here	ADV
ap-7699	1162	2	,	,	PUNCT
ap-7699	1162	3	the	the	DET
ap-7699	1162	4	basic	basic	ADJ
ap-7699	1162	5	idea	idea	NOUN
ap-7699	1162	6	is	be	AUX
ap-7699	1162	7	that	that	SCONJ
ap-7699	1162	8	the	the	DET
ap-7699	1162	9	gravitational	gravitational	ADJ
ap-7699	1162	10	hamiltonian	hamiltonian	NOUN
ap-7699	1162	11	in	in	ADP
ap-7699	1162	12	such	such	ADJ
ap-7699	1162	13	theories	theory	NOUN
ap-7699	1162	14	(	(	PUNCT
ap-7699	1162	15	if	if	SCONJ
ap-7699	1162	16	it	it	PRON
ap-7699	1162	17	can	can	AUX
ap-7699	1162	18	be	be	AUX
ap-7699	1162	19	well	well	ADV
ap-7699	1162	20	-	-	PUNCT
ap-7699	1162	21	defined	define	VERB
ap-7699	1162	22	)	)	PUNCT
ap-7699	1162	23	,	,	PUNCT
ap-7699	1162	24	is	be	AUX
ap-7699	1162	25	not	not	PART
ap-7699	1162	26	a	a	DET
ap-7699	1162	27	hermitian	hermitian	ADJ
ap-7699	1162	28	operator	operator	NOUN
ap-7699	1162	29	on	on	ADP
ap-7699	1162	30	the	the	DET
ap-7699	1162	31	properly	properly	ADV
ap-7699	1162	32	defined	define	VERB
ap-7699	1162	33	hilbert	hilbert	NOUN
ap-7699	1162	34	space	space	NOUN
ap-7699	1162	35	of	of	ADP
ap-7699	1162	36	quantum	quantum	ADJ
ap-7699	1162	37	states	state	NOUN
ap-7699	1162	38	,	,	PUNCT
ap-7699	1162	39	rather	rather	ADV
ap-7699	1162	40	it	it	PRON
ap-7699	1162	41	is	be	AUX
ap-7699	1162	42	only	only	ADV
ap-7699	1162	43	pt	pt	X
ap-7699	1162	44	-symmetric	-symmetric	ADJ
ap-7699	1162	45	hamiltonian	hamiltonian	NOUN
ap-7699	1162	46	.	.	PUNCT
ap-7699	1163	1	then	then	ADV
ap-7699	1163	2	some	some	DET
ap-7699	1163	3	eigenstates	eigenstate	NOUN
ap-7699	1163	4	of	of	ADP
ap-7699	1163	5	such	such	DET
ap-7699	1163	6	a	a	DET
ap-7699	1163	7	hamiltonian	hamiltonian	NOUN
ap-7699	1163	8	may	may	AUX
ap-7699	1163	9	correspond	correspond	VERB
ap-7699	1163	10	to	to	ADP
ap-7699	1163	11	non	non	ADJ
ap-7699	1163	12	-	-	ADJ
ap-7699	1163	13	stationary	stationary	ADJ
ap-7699	1163	14	solutions	solution	NOUN
ap-7699	1163	15	of	of	ADP
ap-7699	1163	16	the	the	DET
ap-7699	1163	17	original	original	ADJ
ap-7699	1163	18	classical	classical	ADJ
ap-7699	1163	19	wave	wave	NOUN
ap-7699	1163	20	equations	equation	NOUN
ap-7699	1163	21	.	.	PUNCT
ap-7699	1164	1	they	they	PRON
ap-7699	1164	2	would	would	AUX
ap-7699	1164	3	indeed	indeed	ADV
ap-7699	1164	4	correspond	correspond	VERB
ap-7699	1164	5	in	in	ADP
ap-7699	1164	6	the	the	DET
ap-7699	1164	7	standard	standard	ADJ
ap-7699	1164	8	classical	classical	ADJ
ap-7699	1164	9	treatment	treatment	NOUN
ap-7699	1164	10	to	to	ADP
ap-7699	1164	11	the	the	DET
ap-7699	1164	12	ostrogradsky	ostrogradsky	ADJ
ap-7699	1164	13	instabilities	instability	NOUN
ap-7699	1164	14	.	.	PUNCT
ap-7699	1165	1	the	the	DET
ap-7699	1165	2	famous	famous	ADJ
ap-7699	1165	3	example	example	NOUN
ap-7699	1165	4	are	be	AUX
ap-7699	1165	5	cosmological	cosmological	ADJ
ap-7699	1165	6	run	run	NOUN
ap-7699	1165	7	-	-	PUNCT
ap-7699	1165	8	away	away	NOUN
ap-7699	1165	9	solutions	solution	NOUN
ap-7699	1165	10	or	or	CCONJ
ap-7699	1165	11	asymptotically	asymptotically	ADV
ap-7699	1165	12	non	non	ADJ
ap-7699	1165	13	-	-	ADJ
ap-7699	1165	14	flat	flat	ADJ
ap-7699	1165	15	gravitational	gravitational	ADJ
ap-7699	1165	16	potentials	potential	NOUN
ap-7699	1165	17	for	for	ADP
ap-7699	1165	18	the	the	DET
ap-7699	1165	19	black	black	ADJ
ap-7699	1165	20	hole	hole	NOUN
ap-7699	1165	21	solutions	solution	NOUN
ap-7699	1165	22	.	.	PUNCT
ap-7699	1166	1	the	the	DET
ap-7699	1166	2	problem	problem	NOUN
ap-7699	1166	3	of	of	ADP
ap-7699	1166	4	ghosts	ghost	NOUN
ap-7699	1166	5	manifests	manifest	VERB
ap-7699	1166	6	itself	itself	PRON
ap-7699	1166	7	already	already	ADV
ap-7699	1166	8	on	on	ADP
ap-7699	1166	9	the	the	DET
ap-7699	1166	10	classical	classical	ADJ
ap-7699	1166	11	level	level	NOUN
ap-7699	1166	12	of	of	ADP
ap-7699	1166	13	equations	equation	NOUN
ap-7699	1166	14	of	of	ADP
ap-7699	1166	15	motion	motion	NOUN
ap-7699	1166	16	,	,	PUNCT
ap-7699	1166	17	where	where	SCONJ
ap-7699	1166	18	one	one	NUM
ap-7699	1166	19	studies	study	NOUN
ap-7699	1166	20	the	the	DET
ap-7699	1166	21	linear	linear	ADJ
ap-7699	1166	22	perturbations	perturbation	NOUN
ap-7699	1166	23	and	and	CCONJ
ap-7699	1166	24	its	its	PRON
ap-7699	1166	25	evolution	evolution	NOUN
ap-7699	1166	26	in	in	ADP
ap-7699	1166	27	time	time	NOUN
ap-7699	1166	28	.	.	PUNCT
ap-7699	1167	1	for	for	ADP
ap-7699	1167	2	unstable	unstable	ADJ
ap-7699	1167	3	theories	theory	NOUN
ap-7699	1167	4	,	,	PUNCT
ap-7699	1167	5	the	the	DET
ap-7699	1167	6	perturbations	perturbation	NOUN
ap-7699	1167	7	growth	growth	NOUN
ap-7699	1167	8	is	be	AUX
ap-7699	1167	9	without	without	ADP
ap-7699	1167	10	a	a	DET
ap-7699	1167	11	bound	bind	VERB
ap-7699	1167	12	in	in	ADP
ap-7699	1167	13	time	time	NOUN
ap-7699	1167	14	.	.	PUNCT
ap-7699	1168	1	but	but	CCONJ
ap-7699	1168	2	in	in	ADP
ap-7699	1168	3	some	some	DET
ap-7699	1168	4	special	special	ADJ
ap-7699	1168	5	solutions	solution	NOUN
ap-7699	1168	6	,	,	PUNCT
ap-7699	1168	7	like	like	ADP
ap-7699	1168	8	for	for	ADP
ap-7699	1168	9	example	example	NOUN
ap-7699	1168	10	present	present	ADJ
ap-7699	1168	11	in	in	ADP
ap-7699	1168	12	models	model	NOUN
ap-7699	1168	13	of	of	ADP
ap-7699	1168	14	conformal	conformal	ADJ
ap-7699	1168	15	gravity	gravity	NOUN
ap-7699	1168	16	,	,	PUNCT
ap-7699	1168	17	these	these	DET
ap-7699	1168	18	instabilities	instability	NOUN
ap-7699	1168	19	are	be	AUX
ap-7699	1168	20	clearly	clearly	ADV
ap-7699	1168	21	avoided	avoid	VERB
ap-7699	1168	22	and	and	CCONJ
ap-7699	1168	23	then	then	ADV
ap-7699	1168	24	one	one	PRON
ap-7699	1168	25	can	can	AUX
ap-7699	1168	26	speak	speak	VERB
ap-7699	1168	27	that	that	SCONJ
ap-7699	1168	28	ghosts	ghost	NOUN
ap-7699	1168	29	are	be	AUX
ap-7699	1168	30	benign	benign	ADJ
ap-7699	1168	31	in	in	ADP
ap-7699	1168	32	opposition	opposition	NOUN
ap-7699	1168	33	to	to	ADP
ap-7699	1168	34	them	they	PRON
ap-7699	1168	35	being	be	AUX
ap-7699	1168	36	malign	malign	ADJ
ap-7699	1168	37	in	in	ADP
ap-7699	1168	38	destroying	destroy	VERB
ap-7699	1168	39	the	the	DET
ap-7699	1168	40	unitarity	unitarity	NOUN
ap-7699	1168	41	of	of	ADP
ap-7699	1168	42	the	the	DET
ap-7699	1168	43	theory	theory	NOUN
ap-7699	1168	44	.	.	PUNCT
ap-7699	1169	1	such	such	ADJ
ap-7699	1169	2	benign	benign	ADJ
ap-7699	1169	3	ghosts	ghost	NOUN
ap-7699	1169	4	[	[	X
ap-7699	1169	5	71	71	NUM
ap-7699	1169	6	,	,	PUNCT
ap-7699	1169	7	72	72	NUM
ap-7699	1169	8	]	]	PUNCT
ap-7699	1169	9	are	be	AUX
ap-7699	1169	10	then	then	ADV
ap-7699	1169	11	innocent	innocent	ADJ
ap-7699	1169	12	for	for	ADP
ap-7699	1169	13	the	the	DET
ap-7699	1169	14	issues	issue	NOUN
ap-7699	1169	15	of	of	ADP
ap-7699	1169	16	perturbative	perturbative	ADJ
ap-7699	1169	17	stability	stability	NOUN
ap-7699	1169	18	.	.	PUNCT
ap-7699	1170	1	in	in	ADP
ap-7699	1170	2	the	the	DET
ap-7699	1170	3	pt	pt	NOUN
ap-7699	1170	4	-symmetric	-symmetric	ADJ
ap-7699	1170	5	approach	approach	NOUN
ap-7699	1170	6	to	to	ADP
ap-7699	1170	7	hd	hd	VERB
ap-7699	1170	8	theories	theory	NOUN
ap-7699	1170	9	at	at	ADP
ap-7699	1170	10	the	the	DET
ap-7699	1170	11	beginning	beginning	NOUN
ap-7699	1170	12	,	,	PUNCT
ap-7699	1170	13	one	one	PRON
ap-7699	1170	14	can	can	AUX
ap-7699	1170	15	not	not	PART
ap-7699	1170	16	determine	determine	VERB
ap-7699	1170	17	the	the	DET
ap-7699	1170	18	hilbert	hilbert	NOUN
ap-7699	1170	19	space	space	NOUN
ap-7699	1170	20	by	by	ADP
ap-7699	1170	21	looking	look	VERB
ap-7699	1170	22	at	at	ADP
ap-7699	1170	23	the	the	DET
ap-7699	1170	24	c	c	NOUN
ap-7699	1170	25	-	-	PUNCT
ap-7699	1170	26	number	number	NOUN
ap-7699	1170	27	propagators	propagator	NOUN
ap-7699	1170	28	of	of	ADP
ap-7699	1170	29	quantum	quantum	ADJ
ap-7699	1170	30	fields	field	NOUN
ap-7699	1170	31	.	.	PUNCT
ap-7699	1171	1	in	in	ADP
ap-7699	1171	2	this	this	DET
ap-7699	1171	3	case	case	NOUN
ap-7699	1171	4	,	,	PUNCT
ap-7699	1171	5	one	one	PRON
ap-7699	1171	6	has	have	AUX
ap-7699	1171	7	to	to	PART
ap-7699	1171	8	from	from	ADP
ap-7699	1171	9	the	the	DET
ap-7699	1171	10	start	start	NOUN
ap-7699	1171	11	quantize	quantize	VERB
ap-7699	1171	12	the	the	DET
ap-7699	1171	13	theory	theory	NOUN
ap-7699	1171	14	and	and	CCONJ
ap-7699	1171	15	construct	construct	VERB
ap-7699	1171	16	from	from	ADP
ap-7699	1171	17	the	the	DET
ap-7699	1171	18	scratch	scratch	NOUN
ap-7699	1171	19	the	the	DET
ap-7699	1171	20	hilbert	hilbert	NOUN
ap-7699	1171	21	space	space	NOUN
ap-7699	1171	22	,	,	PUNCT
ap-7699	1171	23	which	which	PRON
ap-7699	1171	24	is	be	AUX
ap-7699	1171	25	different	different	ADJ
ap-7699	1171	26	than	than	ADP
ap-7699	1171	27	the	the	DET
ap-7699	1171	28	original	original	ADJ
ap-7699	1171	29	naive	naive	ADJ
ap-7699	1171	30	construction	construction	NOUN
ap-7699	1171	31	based	base	VERB
ap-7699	1171	32	on	on	ADP
ap-7699	1171	33	the	the	DET
ap-7699	1171	34	extension	extension	NOUN
ap-7699	1171	35	of	of	ADP
ap-7699	1171	36	the	the	DET
ap-7699	1171	37	one	one	NOUN
ap-7699	1171	38	used	use	VERB
ap-7699	1171	39	normally	normally	ADV
ap-7699	1171	40	for	for	ADP
ap-7699	1171	41	example	example	NOUN
ap-7699	1171	42	for	for	ADP
ap-7699	1171	43	two	two	NUM
ap-7699	1171	44	-	-	PUNCT
ap-7699	1171	45	derivative	derivative	NOUN
ap-7699	1171	46	qft	qft	NOUN
ap-7699	1171	47	’s	’s	NOUN
ap-7699	1171	48	.	.	PUNCT
ap-7699	1172	1	with	with	ADP
ap-7699	1172	2	this	this	DET
ap-7699	1172	3	new	new	ADJ
ap-7699	1172	4	hilbert	hilbert	NOUN
ap-7699	1172	5	space	space	NOUN
ap-7699	1172	6	and	and	CCONJ
ap-7699	1172	7	with	with	ADP
ap-7699	1172	8	the	the	DET
ap-7699	1172	9	non	non	ADJ
ap-7699	1172	10	-	-	ADJ
ap-7699	1172	11	hermitian	hermitian	ADJ
ap-7699	1172	12	(	(	PUNCT
ap-7699	1172	13	but	but	CCONJ
ap-7699	1172	14	pt	pt	NOUN
ap-7699	1172	15	-symmetric	-symmetric	NOUN
ap-7699	1172	16	)	)	PUNCT
ap-7699	1172	17	hamiltonian	hamiltonian	NOUN
ap-7699	1172	18	the	the	DET
ap-7699	1172	19	theory	theory	NOUN
ap-7699	1172	20	revealed	reveal	VERB
ap-7699	1172	21	to	to	PART
ap-7699	1172	22	be	be	AUX
ap-7699	1172	23	quantum	quantum	NOUN
ap-7699	1172	24	-	-	PUNCT
ap-7699	1172	25	mechanically	mechanically	ADV
ap-7699	1172	26	stable	stable	ADJ
ap-7699	1172	27	.	.	PUNCT
ap-7699	1173	1	this	this	PRON
ap-7699	1173	2	is	be	AUX
ap-7699	1173	3	dictated	dictate	VERB
ap-7699	1173	4	by	by	ADP
ap-7699	1173	5	the	the	DET
ap-7699	1173	6	construction	construction	NOUN
ap-7699	1173	7	of	of	ADP
ap-7699	1173	8	the	the	DET
ap-7699	1173	9	new	new	ADJ
ap-7699	1173	10	hilbert	hilbert	NOUN
ap-7699	1173	11	space	space	NOUN
ap-7699	1173	12	and	and	CCONJ
ap-7699	1173	13	the	the	DET
ap-7699	1173	14	structure	structure	NOUN
ap-7699	1173	15	of	of	ADP
ap-7699	1173	16	the	the	DET
ap-7699	1173	17	hamiltonian	hamiltonian	ADJ
ap-7699	1173	18	operator	operator	NOUN
ap-7699	1173	19	.	.	PUNCT
ap-7699	1174	1	in	in	ADP
ap-7699	1174	2	that	that	DET
ap-7699	1174	3	case	case	NOUN
ap-7699	1174	4	the	the	DET
ap-7699	1174	5	procedure	procedure	NOUN
ap-7699	1174	6	of	of	ADP
ap-7699	1174	7	taking	take	VERB
ap-7699	1174	8	the	the	DET
ap-7699	1174	9	classical	classical	ADJ
ap-7699	1174	10	limit	limit	NOUN
ap-7699	1174	11	,	,	PUNCT
ap-7699	1174	12	results	result	NOUN
ap-7699	1174	13	in	in	ADP
ap-7699	1174	14	the	the	DET
ap-7699	1174	15	definition	definition	NOUN
ap-7699	1174	16	of	of	ADP
ap-7699	1174	17	the	the	DET
ap-7699	1174	18	theory	theory	NOUN
ap-7699	1174	19	in	in	ADP
ap-7699	1174	20	one	one	NUM
ap-7699	1174	21	of	of	ADP
ap-7699	1174	22	the	the	DET
ap-7699	1174	23	stokes	stoke	NOUN
ap-7699	1174	24	wedges	wedge	NOUN
ap-7699	1174	25	and	and	CCONJ
ap-7699	1174	26	in	in	ADP
ap-7699	1174	27	such	such	DET
ap-7699	1174	28	a	a	DET
ap-7699	1174	29	region	region	NOUN
ap-7699	1174	30	the	the	DET
ap-7699	1174	31	hamiltonian	hamiltonian	NOUN
ap-7699	1174	32	is	be	AUX
ap-7699	1174	33	not	not	PART
ap-7699	1174	34	real	real	ADJ
ap-7699	1174	35	-	-	PUNCT
ap-7699	1174	36	definite	definite	ADJ
ap-7699	1174	37	and	and	CCONJ
ap-7699	1174	38	the	the	DET
ap-7699	1174	39	corresponding	corresponding	ADJ
ap-7699	1174	40	classical	classical	ADJ
ap-7699	1174	41	hamiltonian	hamiltonian	NOUN
ap-7699	1174	42	is	be	AUX
ap-7699	1174	43	not	not	PART
ap-7699	1174	44	a	a	DET
ap-7699	1174	45	hermitian	hermitian	ADJ
ap-7699	1174	46	operator	operator	NOUN
ap-7699	1174	47	.	.	PUNCT
ap-7699	1175	1	therefore	therefore	ADV
ap-7699	1175	2	,	,	PUNCT
ap-7699	1175	3	the	the	DET
ap-7699	1175	4	whole	whole	ADJ
ap-7699	1175	5	discussion	discussion	NOUN
ap-7699	1175	6	of	of	ADP
ap-7699	1175	7	ostrogradsky	ostrogradsky	ADJ
ap-7699	1175	8	analysis	analysis	NOUN
ap-7699	1175	9	is	be	AUX
ap-7699	1175	10	correct	correct	ADJ
ap-7699	1175	11	as	as	ADV
ap-7699	1175	12	far	far	ADV
ap-7699	1175	13	as	as	SCONJ
ap-7699	1175	14	the	the	DET
ap-7699	1175	15	theory	theory	NOUN
ap-7699	1175	16	with	with	ADP
ap-7699	1175	17	real	real	ADJ
ap-7699	1175	18	functions	function	NOUN
ap-7699	1175	19	and	and	CCONJ
ap-7699	1175	20	real	real	ADV
ap-7699	1175	21	-	-	PUNCT
ap-7699	1175	22	valued	value	VERB
ap-7699	1175	23	hamiltonians	hamiltonian	NOUN
ap-7699	1175	24	is	be	AUX
ap-7699	1175	25	concerned	concern	VERB
ap-7699	1175	26	,	,	PUNCT
ap-7699	1175	27	but	but	CCONJ
ap-7699	1175	28	it	it	PRON
ap-7699	1175	29	is	be	AUX
ap-7699	1175	30	not	not	PART
ap-7699	1175	31	correct	correct	ADJ
ap-7699	1175	32	for	for	ADP
ap-7699	1175	33	the	the	DET
ap-7699	1175	34	theory	theory	NOUN
ap-7699	1175	35	which	which	PRON
ap-7699	1175	36	corresponds	correspond	VERB
ap-7699	1175	37	to	to	ADP
ap-7699	1175	38	the	the	DET
ap-7699	1175	39	quantum	quantum	ADJ
ap-7699	1175	40	theory	theory	NOUN
ap-7699	1175	41	which	which	PRON
ap-7699	1175	42	was	be	AUX
ap-7699	1175	43	earlier	early	ADV
ap-7699	1175	44	proven	prove	VERB
ap-7699	1175	45	to	to	PART
ap-7699	1175	46	be	be	AUX
ap-7699	1175	47	stable	stable	ADJ
ap-7699	1175	48	quantummechanically	quantummechanically	ADV
ap-7699	1175	49	.	.	PUNCT
ap-7699	1176	1	the	the	DET
ap-7699	1176	2	whole	whole	ADJ
ap-7699	1176	3	issue	issue	NOUN
ap-7699	1176	4	is	be	AUX
ap-7699	1176	5	transmitted	transmit	VERB
ap-7699	1176	6	and	and	CCONJ
ap-7699	1176	7	now	now	ADV
ap-7699	1176	8	there	there	PRON
ap-7699	1176	9	is	be	VERB
ap-7699	1176	10	not	not	PART
ap-7699	1176	11	any	any	DET
ap-7699	1176	12	problem	problem	NOUN
ap-7699	1176	13	with	with	ADP
ap-7699	1176	14	unitarity	unitarity	NOUN
ap-7699	1176	15	or	or	CCONJ
ap-7699	1176	16	classical	classical	ADJ
ap-7699	1176	17	stability	stability	NOUN
ap-7699	1176	18	of	of	ADP
ap-7699	1176	19	the	the	DET
ap-7699	1176	20	theory	theory	NOUN
ap-7699	1176	21	,	,	PUNCT
ap-7699	1176	22	but	but	CCONJ
ap-7699	1176	23	one	one	PRON
ap-7699	1176	24	has	have	VERB
ap-7699	1176	25	to	to	PART
ap-7699	1176	26	be	be	AUX
ap-7699	1176	27	very	very	ADV
ap-7699	1176	28	careful	careful	ADJ
ap-7699	1176	29	in	in	ADP
ap-7699	1176	30	attempts	attempt	NOUN
ap-7699	1176	31	to	to	PART
ap-7699	1176	32	define	define	VERB
ap-7699	1176	33	the	the	DET
ap-7699	1176	34	classical	classical	ADJ
ap-7699	1176	35	limiting	limiting	NOUN
ap-7699	1176	36	theory	theory	NOUN
ap-7699	1176	37	.	.	PUNCT
ap-7699	1177	1	we	we	PRON
ap-7699	1177	2	also	also	ADV
ap-7699	1177	3	repeat	repeat	VERB
ap-7699	1177	4	here	here	ADV
ap-7699	1177	5	arguments	argument	NOUN
ap-7699	1177	6	proposed	propose	VERB
ap-7699	1177	7	by	by	ADP
ap-7699	1177	8	mannheim	mannheim	NOUN
ap-7699	1177	9	about	about	ADP
ap-7699	1177	10	stability	stability	NOUN
ap-7699	1177	11	of	of	ADP
ap-7699	1177	12	the	the	DET
ap-7699	1177	13	resulting	result	VERB
ap-7699	1177	14	gravitationmatter	gravitationmatter	NOUN
ap-7699	1177	15	coupled	couple	VERB
ap-7699	1177	16	theory	theory	NOUN
ap-7699	1177	17	[	[	X
ap-7699	1177	18	57	57	NUM
ap-7699	1177	19	,	,	PUNCT
ap-7699	1177	20	58	58	NUM
ap-7699	1177	21	]	]	PUNCT
ap-7699	1177	22	.	.	PUNCT
ap-7699	1178	1	first	first	ADV
ap-7699	1178	2	we	we	PRON
ap-7699	1178	3	take	take	VERB
ap-7699	1178	4	some	some	DET
ap-7699	1178	5	matter	matter	NOUN
ap-7699	1178	6	two	two	NUM
ap-7699	1178	7	-	-	PUNCT
ap-7699	1178	8	derivative	derivative	NOUN
ap-7699	1178	9	model	model	NOUN
ap-7699	1178	10	(	(	PUNCT
ap-7699	1178	11	like	like	ADP
ap-7699	1178	12	for	for	ADP
ap-7699	1178	13	example	example	NOUN
ap-7699	1178	14	standard	standard	ADJ
ap-7699	1178	15	model	model	NOUN
ap-7699	1178	16	of	of	ADP
ap-7699	1178	17	particle	particle	NOUN
ap-7699	1178	18	physics	physics	NOUN
ap-7699	1178	19	,	,	PUNCT
ap-7699	1178	20	where	where	SCONJ
ap-7699	1178	21	we	we	PRON
ap-7699	1178	22	have	have	VERB
ap-7699	1178	23	various	various	ADJ
ap-7699	1178	24	scalars	scalar	NOUN
ap-7699	1178	25	,	,	PUNCT
ap-7699	1178	26	fermions	fermion	NOUN
ap-7699	1178	27	and	and	CCONJ
ap-7699	1178	28	spin-1	spin-1	PROPN
ap-7699	1178	29	gauge	gauge	NOUN
ap-7699	1178	30	bosons	boson	NOUN
ap-7699	1178	31	)	)	PUNCT
ap-7699	1178	32	.	.	PUNCT
ap-7699	1179	1	this	this	DET
ap-7699	1179	2	theory	theory	NOUN
ap-7699	1179	3	as	as	SCONJ
ap-7699	1179	4	considered	consider	VERB
ap-7699	1179	5	on	on	ADP
ap-7699	1179	6	flat	flat	ADJ
ap-7699	1179	7	minkowski	minkowski	ADJ
ap-7699	1179	8	background	background	NOUN
ap-7699	1179	9	is	be	AUX
ap-7699	1179	10	well	well	ADV
ap-7699	1179	11	known	known	ADJ
ap-7699	1179	12	to	to	PART
ap-7699	1179	13	be	be	AUX
ap-7699	1179	14	unitary	unitary	ADJ
ap-7699	1179	15	so	so	SCONJ
ap-7699	1179	16	it	it	PRON
ap-7699	1179	17	gives	give	VERB
ap-7699	1179	18	s	s	NOUN
ap-7699	1179	19	-	-	NOUN
ap-7699	1179	20	matrix	matrix	NOUN
ap-7699	1179	21	of	of	ADP
ap-7699	1179	22	interactions	interaction	NOUN
ap-7699	1179	23	with	with	ADP
ap-7699	1179	24	these	these	DET
ap-7699	1179	25	properties	property	NOUN
ap-7699	1179	26	.	.	PUNCT
ap-7699	1180	1	the	the	DET
ap-7699	1180	2	model	model	NOUN
ap-7699	1180	3	can	can	AUX
ap-7699	1180	4	be	be	AUX
ap-7699	1180	5	said	say	VERB
ap-7699	1180	6	that	that	SCONJ
ap-7699	1180	7	it	it	PRON
ap-7699	1180	8	is	be	AUX
ap-7699	1180	9	also	also	ADV
ap-7699	1180	10	stable	stable	ADJ
ap-7699	1180	11	on	on	ADP
ap-7699	1180	12	the	the	DET
ap-7699	1180	13	quantum	quantum	ADJ
ap-7699	1180	14	level	level	NOUN
ap-7699	1180	15	.	.	PUNCT
ap-7699	1181	1	now	now	ADV
ap-7699	1181	2	,	,	PUNCT
ap-7699	1181	3	we	we	PRON
ap-7699	1181	4	want	want	VERB
ap-7699	1181	5	to	to	PART
ap-7699	1181	6	couple	couple	VERB
ap-7699	1181	7	it	it	PRON
ap-7699	1181	8	to	to	ADP
ap-7699	1181	9	gravity	gravity	NOUN
ap-7699	1181	10	,	,	PUNCT
ap-7699	1181	11	or	or	CCONJ
ap-7699	1181	12	in	in	ADP
ap-7699	1181	13	other	other	ADJ
ap-7699	1181	14	words	word	NOUN
ap-7699	1181	15	put	put	VERB
ap-7699	1181	16	it	it	PRON
ap-7699	1181	17	on	on	ADP
ap-7699	1181	18	gravitational	gravitational	ADJ
ap-7699	1181	19	spacetime	spacetime	NOUN
ap-7699	1181	20	with	with	ADP
ap-7699	1181	21	non	non	ADJ
ap-7699	1181	22	-	-	ADJ
ap-7699	1181	23	trivial	trivial	ADJ
ap-7699	1181	24	background	background	NOUN
ap-7699	1181	25	in	in	ADP
ap-7699	1181	26	such	such	DET
ap-7699	1181	27	a	a	DET
ap-7699	1181	28	way	way	NOUN
ap-7699	1181	29	that	that	PRON
ap-7699	1181	30	the	the	DET
ap-7699	1181	31	mutual	mutual	ADJ
ap-7699	1181	32	interactions	interaction	NOUN
ap-7699	1181	33	between	between	ADP
ap-7699	1181	34	gravitational	gravitational	ADJ
ap-7699	1181	35	sector	sector	NOUN
ap-7699	1181	36	and	and	CCONJ
ap-7699	1181	37	matter	matter	VERB
ap-7699	1181	38	sector	sector	NOUN
ap-7699	1181	39	are	be	AUX
ap-7699	1181	40	consistent	consistent	ADJ
ap-7699	1181	41	.	.	PUNCT
ap-7699	1182	1	this	this	PRON
ap-7699	1182	2	,	,	PUNCT
ap-7699	1182	3	in	in	ADP
ap-7699	1182	4	particular	particular	ADJ
ap-7699	1182	5	,	,	PUNCT
ap-7699	1182	6	implies	imply	VERB
ap-7699	1182	7	that	that	SCONJ
ap-7699	1182	8	the	the	DET
ap-7699	1182	9	phenomena	phenomenon	NOUN
ap-7699	1182	10	of	of	ADP
ap-7699	1182	11	back	back	NOUN
ap-7699	1182	12	-	-	PUNCT
ap-7699	1182	13	reaction	reaction	NOUN
ap-7699	1182	14	of	of	ADP
ap-7699	1182	15	matter	matter	ADJ
ap-7699	1182	16	species	specie	NOUN
ap-7699	1182	17	on	on	ADP
ap-7699	1182	18	geometry	geometry	NOUN
ap-7699	1182	19	are	be	AUX
ap-7699	1182	20	not	not	PART
ap-7699	1182	21	to	to	PART
ap-7699	1182	22	be	be	AUX
ap-7699	1182	23	neglected	neglect	VERB
ap-7699	1182	24	.	.	PUNCT
ap-7699	1183	1	the	the	DET
ap-7699	1183	2	crucial	crucial	ADJ
ap-7699	1183	3	assumption	assumption	NOUN
ap-7699	1183	4	here	here	ADV
ap-7699	1183	5	is	be	AUX
ap-7699	1183	6	that	that	SCONJ
ap-7699	1183	7	this	this	DET
ap-7699	1183	8	procedure	procedure	NOUN
ap-7699	1183	9	of	of	ADP
ap-7699	1183	10	coupling	coupling	NOUN
ap-7699	1183	11	to	to	ADP
ap-7699	1183	12	gravity	gravity	NOUN
ap-7699	1183	13	is	be	AUX
ap-7699	1183	14	well	well	ADV
ap-7699	1183	15	behaved	behave	VERB
ap-7699	1183	16	and	and	CCONJ
ap-7699	1183	17	for	for	ADP
ap-7699	1183	18	example	example	NOUN
ap-7699	1183	19	,	,	PUNCT
ap-7699	1183	20	it	it	PRON
ap-7699	1183	21	will	will	AUX
ap-7699	1183	22	not	not	PART
ap-7699	1183	23	destroy	destroy	VERB
ap-7699	1183	24	the	the	DET
ap-7699	1183	25	unitarity	unitarity	NOUN
ap-7699	1183	26	properties	property	NOUN
ap-7699	1183	27	present	present	ADJ
ap-7699	1183	28	in	in	ADP
ap-7699	1183	29	the	the	DET
ap-7699	1183	30	matter	matter	NOUN
ap-7699	1183	31	sector	sector	NOUN
ap-7699	1183	32	.	.	PUNCT
ap-7699	1184	1	we	we	PRON
ap-7699	1184	2	know	know	VERB
ap-7699	1184	3	that	that	SCONJ
ap-7699	1184	4	the	the	DET
ap-7699	1184	5	theory	theory	NOUN
ap-7699	1184	6	in	in	ADP
ap-7699	1184	7	the	the	DET
ap-7699	1184	8	matter	matter	NOUN
ap-7699	1184	9	sector	sector	NOUN
ap-7699	1184	10	is	be	AUX
ap-7699	1184	11	stable	stable	ADJ
ap-7699	1184	12	and	and	CCONJ
ap-7699	1184	13	also	also	ADV
ap-7699	1184	14	its	its	PRON
ap-7699	1184	15	coupling	coupling	NOUN
ap-7699	1184	16	to	to	ADP
ap-7699	1184	17	geometry	geometry	NOUN
ap-7699	1184	18	should	should	AUX
ap-7699	1184	19	be	be	AUX
ap-7699	1184	20	stable	stable	ADJ
ap-7699	1184	21	on	on	ADP
ap-7699	1184	22	the	the	DET
ap-7699	1184	23	full	full	ADJ
ap-7699	1184	24	quantum	quantum	ADJ
ap-7699	1184	25	level	level	NOUN
ap-7699	1184	26	.	.	PUNCT
ap-7699	1185	1	after	after	ADV
ap-7699	1185	2	all	all	ADV
ap-7699	1185	3	,	,	PUNCT
ap-7699	1185	4	this	this	PRON
ap-7699	1185	5	is	be	AUX
ap-7699	1185	6	just	just	ADV
ap-7699	1185	7	simple	simple	ADJ
ap-7699	1185	8	coupling	coupling	NOUN
ap-7699	1185	9	procedure	procedure	NOUN
ap-7699	1185	10	(	(	PUNCT
ap-7699	1185	11	could	could	AUX
ap-7699	1185	12	be	be	AUX
ap-7699	1185	13	minimal	minimal	ADJ
ap-7699	1185	14	coupling	coupling	NOUN
ap-7699	1185	15	)	)	PUNCT
ap-7699	1185	16	to	to	PART
ap-7699	1185	17	provide	provide	VERB
ap-7699	1185	18	mutual	mutual	ADJ
ap-7699	1185	19	consistent	consistent	ADJ
ap-7699	1185	20	interactions	interaction	NOUN
ap-7699	1185	21	with	with	ADP
ap-7699	1185	22	the	the	DET
ap-7699	1185	23	background	background	NOUN
ap-7699	1185	24	configurations	configuration	NOUN
ap-7699	1185	25	of	of	ADP
ap-7699	1185	26	the	the	DET
ap-7699	1185	27	gravitational	gravitational	ADJ
ap-7699	1185	28	field	field	NOUN
ap-7699	1185	29	.	.	PUNCT
ap-7699	1186	1	next	next	ADV
ap-7699	1186	2	,	,	PUNCT
ap-7699	1186	3	on	on	ADP
ap-7699	1186	4	the	the	DET
ap-7699	1186	5	quantum	quantum	ADJ
ap-7699	1186	6	level	level	NOUN
ap-7699	1186	7	described	describe	VERB
ap-7699	1186	8	,	,	PUNCT
ap-7699	1186	9	for	for	ADP
ap-7699	1186	10	example	example	NOUN
ap-7699	1186	11	,	,	PUNCT
ap-7699	1186	12	by	by	ADP
ap-7699	1186	13	functional	functional	ADJ
ap-7699	1186	14	path	path	NOUN
ap-7699	1186	15	integral	integral	ADJ
ap-7699	1186	16	,	,	PUNCT
ap-7699	1186	17	we	we	PRON
ap-7699	1186	18	can	can	AUX
ap-7699	1186	19	decide	decide	VERB
ap-7699	1186	20	to	to	PART
ap-7699	1186	21	completely	completely	ADV
ap-7699	1186	22	integrate	integrate	VERB
ap-7699	1186	23	out	out	ADP
ap-7699	1186	24	matter	matter	NOUN
ap-7699	1186	25	species	specie	NOUN
ap-7699	1186	26	still	still	ADV
ap-7699	1186	27	staying	stay	VERB
ap-7699	1186	28	on	on	ADP
ap-7699	1186	29	the	the	DET
ap-7699	1186	30	general	general	ADJ
ap-7699	1186	31	gravitational	gravitational	ADJ
ap-7699	1186	32	background	background	NOUN
ap-7699	1186	33	.	.	PUNCT
ap-7699	1187	1	as	as	SCONJ
ap-7699	1187	2	emphasized	emphasize	VERB
ap-7699	1187	3	in	in	ADP
ap-7699	1187	4	section	section	NOUN
ap-7699	1187	5	1	1	NUM
ap-7699	1187	6	,	,	PUNCT
ap-7699	1187	7	such	such	ADJ
ap-7699	1187	8	procedure	procedure	NOUN
ap-7699	1187	9	in	in	ADP
ap-7699	1187	10	d	d	NOUN
ap-7699	1187	11	=	=	SYM
ap-7699	1187	12	4	4	NUM
ap-7699	1187	13	spacetime	spacetime	NOUN
ap-7699	1187	14	dimensions	dimension	NOUN
ap-7699	1187	15	generate	generate	VERB
ap-7699	1187	16	effective	effective	ADJ
ap-7699	1187	17	quantum	quantum	ADJ
ap-7699	1187	18	gravitational	gravitational	ADJ
ap-7699	1187	19	dynamics	dynamic	NOUN
ap-7699	1187	20	of	of	ADP
ap-7699	1187	21	background	background	NOUN
ap-7699	1187	22	fields	field	NOUN
ap-7699	1187	23	with	with	ADP
ap-7699	1187	24	higher	high	ADJ
ap-7699	1187	25	derivatives	derivative	NOUN
ap-7699	1187	26	,	,	PUNCT
ap-7699	1187	27	precisely	precisely	ADV
ap-7699	1187	28	in	in	ADP
ap-7699	1187	29	this	this	DET
ap-7699	1187	30	case	case	NOUN
ap-7699	1187	31	there	there	PRON
ap-7699	1187	32	are	be	VERB
ap-7699	1187	33	terms	term	NOUN
ap-7699	1187	34	of	of	ADP
ap-7699	1187	35	the	the	DET
ap-7699	1187	36	type	type	NOUN
ap-7699	1187	37	c2	c2	PROPN
ap-7699	1187	38	and	and	CCONJ
ap-7699	1187	39	r2	r2	PROPN
ap-7699	1187	40	(	(	PUNCT
ap-7699	1187	41	the	the	DET
ap-7699	1187	42	latter	latter	ADJ
ap-7699	1187	43	term	term	NOUN
ap-7699	1187	44	is	be	AUX
ap-7699	1187	45	absent	absent	ADJ
ap-7699	1187	46	when	when	SCONJ
ap-7699	1187	47	the	the	DET
ap-7699	1187	48	matter	matter	NOUN
ap-7699	1187	49	theory	theory	NOUN
ap-7699	1187	50	is	be	AUX
ap-7699	1187	51	classically	classically	ADV
ap-7699	1187	52	conformally	conformally	ADV
ap-7699	1187	53	invariant	invariant	ADJ
ap-7699	1187	54	)	)	PUNCT
ap-7699	1187	55	.	.	PUNCT
ap-7699	1188	1	in	in	ADP
ap-7699	1188	2	other	other	ADJ
ap-7699	1188	3	words	word	NOUN
ap-7699	1188	4	,	,	PUNCT
ap-7699	1188	5	the	the	DET
ap-7699	1188	6	resulting	result	VERB
ap-7699	1188	7	functional	functional	NOUN
ap-7699	1188	8	of	of	ADP
ap-7699	1188	9	the	the	DET
ap-7699	1188	10	quantum	quantum	ADJ
ap-7699	1188	11	partition	partition	NOUN
ap-7699	1188	12	function	function	NOUN
ap-7699	1188	13	of	of	ADP
ap-7699	1188	14	the	the	DET
ap-7699	1188	15	total	total	ADJ
ap-7699	1188	16	coupled	couple	VERB
ap-7699	1188	17	model	model	NOUN
ap-7699	1188	18	is	be	AUX
ap-7699	1188	19	a	a	DET
ap-7699	1188	20	functional	functional	ADJ
ap-7699	1188	21	of	of	ADP
ap-7699	1188	22	only	only	ADJ
ap-7699	1188	23	background	background	NOUN
ap-7699	1188	24	gravitational	gravitational	ADJ
ap-7699	1188	25	fields	field	NOUN
ap-7699	1188	26	.	.	PUNCT
ap-7699	1189	1	this	this	DET
ap-7699	1189	2	last	last	ADJ
ap-7699	1189	3	reduced	reduce	VERB
ap-7699	1189	4	or	or	CCONJ
ap-7699	1189	5	“	"	PUNCT
ap-7699	1189	6	effective	effective	ADJ
ap-7699	1189	7	”	"	PUNCT
ap-7699	1189	8	functional	functional	ADJ
ap-7699	1189	9	is	be	AUX
ap-7699	1189	10	given	give	VERB
ap-7699	1189	11	by	by	ADP
ap-7699	1189	12	the	the	DET
ap-7699	1189	13	functional	functional	ADJ
ap-7699	1189	14	integral	integral	ADJ
ap-7699	1189	15	over	over	ADP
ap-7699	1189	16	quantum	quantum	NOUN
ap-7699	1189	17	fluctuations	fluctuation	NOUN
ap-7699	1189	18	of	of	ADP
ap-7699	1189	19	gravitational	gravitational	ADJ
ap-7699	1189	20	field	field	NOUN
ap-7699	1189	21	of	of	ADP
ap-7699	1189	22	the	the	DET
ap-7699	1189	23	theory	theory	NOUN
ap-7699	1189	24	given	give	VERB
ap-7699	1189	25	classically	classically	ADV
ap-7699	1189	26	by	by	ADP
ap-7699	1189	27	the	the	DET
ap-7699	1189	28	action	action	NOUN
ap-7699	1189	29	with	with	ADP
ap-7699	1189	30	these	these	DET
ap-7699	1189	31	hd	hd	NOUN
ap-7699	1189	32	above	above	ADP
ap-7699	1189	33	terms	term	NOUN
ap-7699	1189	34	.	.	PUNCT
ap-7699	1190	1	let	let	VERB
ap-7699	1190	2	us	we	PRON
ap-7699	1190	3	recall	recall	VERB
ap-7699	1190	4	now	now	ADV
ap-7699	1190	5	what	what	PRON
ap-7699	1190	6	we	we	PRON
ap-7699	1190	7	have	have	AUX
ap-7699	1190	8	done	do	VERB
ap-7699	1190	9	,	,	PUNCT
ap-7699	1190	10	namely	namely	ADV
ap-7699	1190	11	we	we	PRON
ap-7699	1190	12	have	have	AUX
ap-7699	1190	13	simply	simply	ADV
ap-7699	1190	14	integrated	integrate	VERB
ap-7699	1190	15	out	out	ADP
ap-7699	1190	16	all	all	DET
ap-7699	1190	17	quantum	quantum	ADJ
ap-7699	1190	18	matter	matter	NOUN
ap-7699	1190	19	fields	field	NOUN
ap-7699	1190	20	,	,	PUNCT
ap-7699	1190	21	which	which	PRON
ap-7699	1190	22	is	be	AUX
ap-7699	1190	23	an	an	DET
ap-7699	1190	24	identity	identity	NOUN
ap-7699	1190	25	transformation	transformation	NOUN
ap-7699	1190	26	for	for	ADP
ap-7699	1190	27	the	the	DET
ap-7699	1190	28	functional	functional	ADJ
ap-7699	1190	29	integral	integral	ADJ
ap-7699	1190	30	representation	representation	NOUN
ap-7699	1190	31	of	of	ADP
ap-7699	1190	32	the	the	DET
ap-7699	1190	33	partition	partition	NOUN
ap-7699	1190	34	function	function	NOUN
ap-7699	1190	35	z	z	PROPN
ap-7699	1190	36	of	of	ADP
ap-7699	1190	37	the	the	DET
ap-7699	1190	38	quantum	quantum	NOUN
ap-7699	1190	39	coupled	couple	VERB
ap-7699	1190	40	theory	theory	NOUN
ap-7699	1190	41	.	.	PUNCT
ap-7699	1191	1	since	since	SCONJ
ap-7699	1191	2	this	this	DET
ap-7699	1191	3	transformation	transformation	NOUN
ap-7699	1191	4	does	do	AUX
ap-7699	1191	5	not	not	PART
ap-7699	1191	6	change	change	VERB
ap-7699	1191	7	anything	anything	PRON
ap-7699	1191	8	,	,	PUNCT
ap-7699	1191	9	then	then	ADV
ap-7699	1191	10	also	also	ADV
ap-7699	1191	11	the	the	DET
ap-7699	1191	12	resulting	result	VERB
ap-7699	1191	13	theory	theory	NOUN
ap-7699	1191	14	of	of	ADP
ap-7699	1191	15	gravitational	gravitational	ADJ
ap-7699	1191	16	background	background	NOUN
ap-7699	1191	17	must	must	AUX
ap-7699	1191	18	necessarily	necessarily	ADV
ap-7699	1191	19	possess	possess	VERB
ap-7699	1191	20	the	the	DET
ap-7699	1191	21	same	same	ADJ
ap-7699	1191	22	features	feature	NOUN
ap-7699	1191	23	as	as	ADP
ap-7699	1191	24	the	the	DET
ap-7699	1191	25	original	original	ADJ
ap-7699	1191	26	coupled	couple	VERB
ap-7699	1191	27	theory	theory	NOUN
ap-7699	1191	28	we	we	PRON
ap-7699	1191	29	started	start	VERB
ap-7699	1191	30	with	with	ADP
ap-7699	1191	31	.	.	PUNCT
ap-7699	1192	1	since	since	SCONJ
ap-7699	1192	2	the	the	DET
ap-7699	1192	3	first	first	ADJ
ap-7699	1192	4	theory	theory	NOUN
ap-7699	1192	5	was	be	AUX
ap-7699	1192	6	unitary	unitary	ADJ
ap-7699	1192	7	,	,	PUNCT
ap-7699	1192	8	then	then	ADV
ap-7699	1192	9	also	also	ADV
ap-7699	1192	10	the	the	DET
ap-7699	1192	11	last	last	ADJ
ap-7699	1192	12	one	one	NUM
ap-7699	1192	13	theory	theory	NOUN
ap-7699	1192	14	of	of	ADP
ap-7699	1192	15	pure	pure	ADJ
ap-7699	1192	16	gravity	gravity	NOUN
ap-7699	1192	17	but	but	CCONJ
ap-7699	1192	18	with	with	ADP
ap-7699	1192	19	higher	high	ADJ
ap-7699	1192	20	-	-	PUNCT
ap-7699	1192	21	derivative	derivative	ADJ
ap-7699	1192	22	terms	term	NOUN
ap-7699	1192	23	must	must	AUX
ap-7699	1192	24	be	be	AUX
ap-7699	1192	25	unitary	unitary	ADJ
ap-7699	1192	26	too	too	ADV
ap-7699	1192	27	.	.	PUNCT
ap-7699	1193	1	we	we	PRON
ap-7699	1193	2	emphasized	emphasize	VERB
ap-7699	1193	3	that	that	SCONJ
ap-7699	1193	4	both	both	DET
ap-7699	1193	5	theories	theory	NOUN
ap-7699	1193	6	give	give	VERB
ap-7699	1193	7	the	the	DET
ap-7699	1193	8	same	same	ADJ
ap-7699	1193	9	numerical	numerical	ADJ
ap-7699	1193	10	values	value	NOUN
ap-7699	1193	11	of	of	ADP
ap-7699	1193	12	the	the	DET
ap-7699	1193	13	partition	partition	NOUN
ap-7699	1193	14	function	function	NOUN
ap-7699	1193	15	z	z	PROPN
ap-7699	1193	16	understood	understand	VERB
ap-7699	1193	17	here	here	ADV
ap-7699	1193	18	as	as	ADP
ap-7699	1193	19	the	the	DET
ap-7699	1193	20	functional	functional	NOUN
ap-7699	1193	21	of	of	ADP
ap-7699	1193	22	the	the	DET
ap-7699	1193	23	background	background	NOUN
ap-7699	1193	24	spacetime	spacetime	PROPN
ap-7699	1193	25	metric	metric	PROPN
ap-7699	1193	26	.	.	PUNCT
ap-7699	1194	1	in	in	ADP
ap-7699	1194	2	the	the	DET
ap-7699	1194	3	first	first	ADJ
ap-7699	1194	4	theory	theory	NOUN
ap-7699	1194	5	the	the	DET
ap-7699	1194	6	integration	integration	NOUN
ap-7699	1194	7	variables	variable	VERB
ap-7699	1194	8	under	under	ADP
ap-7699	1194	9	functional	functional	ADJ
ap-7699	1194	10	integrals	integral	NOUN
ap-7699	1194	11	are	be	AUX
ap-7699	1194	12	quantum	quantum	NOUN
ap-7699	1194	13	matter	matter	NOUN
ap-7699	1194	14	fields	field	NOUN
ap-7699	1194	15	,	,	PUNCT
ap-7699	1194	16	while	while	SCONJ
ap-7699	1194	17	in	in	ADP
ap-7699	1194	18	the	the	DET
ap-7699	1194	19	second	second	ADJ
ap-7699	1194	20	case	case	NOUN
ap-7699	1194	21	we	we	PRON
ap-7699	1194	22	are	be	AUX
ap-7699	1194	23	dealing	deal	VERB
ap-7699	1194	24	with	with	ADP
ap-7699	1194	25	pure	pure	ADJ
ap-7699	1194	26	gravity	gravity	NOUN
ap-7699	1194	27	so	so	SCONJ
ap-7699	1194	28	we	we	PRON
ap-7699	1194	29	need	need	VERB
ap-7699	1194	30	to	to	PART
ap-7699	1194	31	integrate	integrate	VERB
ap-7699	1194	32	over	over	ADP
ap-7699	1194	33	quantum	quantum	ADJ
ap-7699	1194	34	fluctuations	fluctuation	NOUN
ap-7699	1194	35	of	of	ADP
ap-7699	1194	36	the	the	DET
ap-7699	1194	37	gravitational	gravitational	ADJ
ap-7699	1194	38	fields	field	NOUN
ap-7699	1194	39	.	.	PUNCT
ap-7699	1195	1	in	in	ADP
ap-7699	1195	2	the	the	DET
ap-7699	1195	3	last	last	ADJ
ap-7699	1195	4	case	case	NOUN
ap-7699	1195	5	the	the	DET
ap-7699	1195	6	model	model	NOUN
ap-7699	1195	7	,	,	PUNCT
ap-7699	1195	8	which	which	PRON
ap-7699	1195	9	gives	give	VERB
ap-7699	1195	10	the	the	DET
ap-7699	1195	11	integrand	integrand	NOUN
ap-7699	1195	12	of	of	ADP
ap-7699	1195	13	the	the	DET
ap-7699	1195	14	functional	functional	ADJ
ap-7699	1195	15	integral	integral	NOUN
ap-7699	1195	16	is	be	AUX
ap-7699	1195	17	given	give	VERB
ap-7699	1195	18	by	by	ADP
ap-7699	1195	19	the	the	DET
ap-7699	1195	20	classical	classical	ADJ
ap-7699	1195	21	action	action	NOUN
ap-7699	1195	22	shd	shd	NOUN
ap-7699	1195	23	,	,	PUNCT
ap-7699	1195	24	so	so	SCONJ
ap-7699	1195	25	it	it	PRON
ap-7699	1195	26	contains	contain	VERB
ap-7699	1195	27	necessarily	necessarily	ADV
ap-7699	1195	28	higher	high	ADJ
ap-7699	1195	29	derivatives	derivative	NOUN
ap-7699	1195	30	of	of	ADP
ap-7699	1195	31	the	the	DET
ap-7699	1195	32	gravitational	gravitational	ADJ
ap-7699	1195	33	metric	metric	ADJ
ap-7699	1195	34	field	field	NOUN
ap-7699	1195	35	.	.	PUNCT
ap-7699	1196	1	there	there	PRON
ap-7699	1196	2	also	also	ADV
ap-7699	1196	3	exist	exist	VERB
ap-7699	1196	4	possibilities	possibility	NOUN
ap-7699	1196	5	that	that	PRON
ap-7699	1196	6	ghosts	ghost	NOUN
ap-7699	1196	7	or	or	CCONJ
ap-7699	1196	8	classical	classical	ADJ
ap-7699	1196	9	instabilities	instability	NOUN
ap-7699	1196	10	one	one	PRON
ap-7699	1196	11	sees	see	VERB
ap-7699	1196	12	on	on	ADP
ap-7699	1196	13	the	the	DET
ap-7699	1196	14	classical	classical	ADJ
ap-7699	1196	15	level	level	NOUN
ap-7699	1196	16	thanks	thank	NOUN
ap-7699	1196	17	to	to	ADP
ap-7699	1196	18	150	150	NUM
ap-7699	1196	19	vol	vol	NOUN
ap-7699	1196	20	.	.	PUNCT
ap-7699	1197	1	62	62	NUM
ap-7699	1197	2	no	no	INTJ
ap-7699	1197	3	.	.	PUNCT
ap-7699	1198	1	1/2022	1/2022	NUM
ap-7699	1198	2	beta	beta	NOUN
ap-7699	1198	3	functions	function	NOUN
ap-7699	1198	4	in	in	ADP
ap-7699	1198	5	six	six	NUM
ap-7699	1198	6	-	-	PUNCT
ap-7699	1198	7	derivative	derivative	ADJ
ap-7699	1198	8	quantum	quantum	NOUN
ap-7699	1198	9	gravity	gravity	NOUN
ap-7699	1198	10	ostrogradsky	ostrogradsky	ADJ
ap-7699	1198	11	analysis	analysis	NOUN
ap-7699	1198	12	disappear	disappear	VERB
ap-7699	1198	13	.	.	PUNCT
ap-7699	1199	1	this	this	PRON
ap-7699	1199	2	may	may	AUX
ap-7699	1199	3	happen	happen	VERB
ap-7699	1199	4	if	if	SCONJ
ap-7699	1199	5	for	for	ADP
ap-7699	1199	6	example	example	NOUN
ap-7699	1199	7	,	,	PUNCT
ap-7699	1199	8	some	some	DET
ap-7699	1199	9	very	very	ADV
ap-7699	1199	10	specific	specific	ADJ
ap-7699	1199	11	(	(	PUNCT
ap-7699	1199	12	or	or	CCONJ
ap-7699	1199	13	fine	fine	ADV
ap-7699	1199	14	-	-	PUNCT
ap-7699	1199	15	tuned	tune	VERB
ap-7699	1199	16	)	)	PUNCT
ap-7699	1199	17	initial	initial	ADJ
ap-7699	1199	18	or	or	CCONJ
ap-7699	1199	19	boundary	boundary	ADJ
ap-7699	1199	20	conditions	condition	NOUN
ap-7699	1199	21	are	be	AUX
ap-7699	1199	22	used	use	VERB
ap-7699	1199	23	for	for	ADP
ap-7699	1199	24	solving	solve	VERB
ap-7699	1199	25	non	non	ADJ
ap-7699	1199	26	-	-	ADJ
ap-7699	1199	27	linear	linear	ADJ
ap-7699	1199	28	higher	high	ADJ
ap-7699	1199	29	-	-	PUNCT
ap-7699	1199	30	derivative	derivative	ADJ
ap-7699	1199	31	classical	classical	ADJ
ap-7699	1199	32	equations	equation	NOUN
ap-7699	1199	33	of	of	ADP
ap-7699	1199	34	motion	motion	NOUN
ap-7699	1199	35	of	of	ADP
ap-7699	1199	36	the	the	DET
ap-7699	1199	37	theory	theory	NOUN
ap-7699	1199	38	.	.	PUNCT
ap-7699	1200	1	it	it	PRON
ap-7699	1200	2	is	be	AUX
ap-7699	1200	3	not	not	PART
ap-7699	1200	4	excluded	exclude	VERB
ap-7699	1200	5	as	as	SCONJ
ap-7699	1200	6	proven	prove	VERB
ap-7699	1200	7	by	by	ADP
ap-7699	1200	8	smilga	smilga	PROPN
ap-7699	1200	9	that	that	SCONJ
ap-7699	1200	10	some	some	DET
ap-7699	1200	11	instabilities	instability	NOUN
ap-7699	1200	12	may	may	AUX
ap-7699	1200	13	go	go	VERB
ap-7699	1200	14	away	away	ADV
ap-7699	1200	15	if	if	SCONJ
ap-7699	1200	16	one	one	PRON
ap-7699	1200	17	analyzes	analyze	VERB
ap-7699	1200	18	such	such	ADJ
ap-7699	1200	19	special	special	ADJ
ap-7699	1200	20	situations	situation	NOUN
ap-7699	1200	21	.	.	PUNCT
ap-7699	1201	1	various	various	ADJ
ap-7699	1201	2	cures	cure	NOUN
ap-7699	1201	3	have	have	AUX
ap-7699	1201	4	been	be	AUX
ap-7699	1201	5	proposed	propose	VERB
ap-7699	1201	6	in	in	ADP
ap-7699	1201	7	the	the	DET
ap-7699	1201	8	literature	literature	NOUN
ap-7699	1201	9	for	for	ADP
ap-7699	1201	10	dealing	deal	VERB
ap-7699	1201	11	with	with	ADP
ap-7699	1201	12	the	the	DET
ap-7699	1201	13	ghosts	ghost	NOUN
ap-7699	1201	14	-	-	PUNCT
ap-7699	1201	15	tachyon	tachyon	NOUN
ap-7699	1201	16	issue	issue	NOUN
ap-7699	1201	17	:	:	PUNCT
ap-7699	1201	18	lee	lee	PROPN
ap-7699	1201	19	-	-	PUNCT
ap-7699	1201	20	wick	wick	NOUN
ap-7699	1201	21	prescription	prescription	NOUN
ap-7699	1201	22	[	[	PUNCT
ap-7699	1201	23	63	63	NUM
ap-7699	1201	24	,	,	PUNCT
ap-7699	1201	25	64	64	NUM
ap-7699	1201	26	]	]	PUNCT
ap-7699	1201	27	,	,	PUNCT
ap-7699	1201	28	fakeons	fakeon	NOUN
ap-7699	1201	29	[	[	X
ap-7699	1201	30	61	61	NUM
ap-7699	1201	31	,	,	PUNCT
ap-7699	1201	32	65	65	NUM
ap-7699	1201	33	,	,	PUNCT
ap-7699	1201	34	66	66	NUM
ap-7699	1201	35	,	,	PUNCT
ap-7699	1201	36	73	73	NUM
ap-7699	1201	37	]	]	PUNCT
ap-7699	1201	38	,	,	PUNCT
ap-7699	1201	39	nonperturbative	nonperturbative	ADJ
ap-7699	1201	40	numerical	numerical	ADJ
ap-7699	1201	41	methods	method	NOUN
ap-7699	1201	42	[	[	X
ap-7699	1201	43	71	71	NUM
ap-7699	1201	44	,	,	PUNCT
ap-7699	1201	45	72	72	NUM
ap-7699	1201	46	,	,	PUNCT
ap-7699	1201	47	74–78	74–78	NUM
ap-7699	1201	48	]	]	PUNCT
ap-7699	1201	49	,	,	PUNCT
ap-7699	1201	50	ghost	ghost	NOUN
ap-7699	1201	51	instabilities	instability	NOUN
ap-7699	1201	52	[	[	X
ap-7699	1201	53	79–81	79–81	NUM
ap-7699	1201	54	]	]	PUNCT
ap-7699	1201	55	,	,	PUNCT
ap-7699	1201	56	nonhermitian	nonhermitian	ADJ
ap-7699	1201	57	pt	pt	NOUN
ap-7699	1201	58	-symmetric	-symmetric	ADJ
ap-7699	1201	59	quantum	quantum	NOUN
ap-7699	1201	60	gravity	gravity	NOUN
ap-7699	1201	61	based	base	VERB
ap-7699	1201	62	on	on	ADP
ap-7699	1201	63	pt	pt	X
ap-7699	1201	64	-symmetric	-symmetric	ADJ
ap-7699	1201	65	quantum	quantum	NOUN
ap-7699	1201	66	mechanics	mechanic	NOUN
ap-7699	1201	67	[	[	X
ap-7699	1201	68	69	69	NUM
ap-7699	1201	69	,	,	PUNCT
ap-7699	1201	70	70	70	NUM
ap-7699	1201	71	]	]	PUNCT
ap-7699	1201	72	,	,	PUNCT
ap-7699	1201	73	etc	etc	X
ap-7699	1201	74	(	(	PUNCT
ap-7699	1201	75	see	see	VERB
ap-7699	1201	76	also	also	ADV
ap-7699	1201	77	[	[	X
ap-7699	1201	78	82–87	82–87	NUM
ap-7699	1201	79	]	]	PUNCT
ap-7699	1201	80	)	)	PUNCT
ap-7699	1201	81	.	.	PUNCT
ap-7699	1202	1	one	one	PRON
ap-7699	1202	2	might	might	AUX
ap-7699	1202	3	even	even	ADV
ap-7699	1202	4	entertain	entertain	VERB
ap-7699	1202	5	the	the	DET
ap-7699	1202	6	idea	idea	NOUN
ap-7699	1202	7	that	that	SCONJ
ap-7699	1202	8	unitarity	unitarity	NOUN
ap-7699	1202	9	in	in	ADP
ap-7699	1202	10	quantum	quantum	NOUN
ap-7699	1202	11	gravity	gravity	NOUN
ap-7699	1202	12	is	be	AUX
ap-7699	1202	13	not	not	PART
ap-7699	1202	14	a	a	DET
ap-7699	1202	15	fundamental	fundamental	ADJ
ap-7699	1202	16	concept	concept	NOUN
ap-7699	1202	17	.	.	PUNCT
ap-7699	1203	1	so	so	ADV
ap-7699	1203	2	far	far	ADV
ap-7699	1203	3	,	,	PUNCT
ap-7699	1203	4	there	there	PRON
ap-7699	1203	5	is	be	VERB
ap-7699	1203	6	no	no	DET
ap-7699	1203	7	a	a	DET
ap-7699	1203	8	consensus	consensus	NOUN
ap-7699	1203	9	in	in	ADP
ap-7699	1203	10	the	the	DET
ap-7699	1203	11	community	community	NOUN
ap-7699	1203	12	which	which	PRON
ap-7699	1203	13	solutions	solution	NOUN
ap-7699	1203	14	is	be	AUX
ap-7699	1203	15	the	the	DET
ap-7699	1203	16	correct	correct	ADJ
ap-7699	1203	17	one	one	NUM
ap-7699	1203	18	.	.	PUNCT
ap-7699	1204	1	the	the	DET
ap-7699	1204	2	unfortunate	unfortunate	ADJ
ap-7699	1204	3	prevalent	prevalent	ADJ
ap-7699	1204	4	viewpoint	viewpoint	NOUN
ap-7699	1204	5	is	be	AUX
ap-7699	1204	6	that	that	SCONJ
ap-7699	1204	7	none	none	NOUN
ap-7699	1204	8	of	of	ADP
ap-7699	1204	9	the	the	DET
ap-7699	1204	10	proposed	propose	VERB
ap-7699	1204	11	solutions	solution	NOUN
ap-7699	1204	12	solves	solve	VERB
ap-7699	1204	13	conclusively	conclusively	ADV
ap-7699	1204	14	and	and	CCONJ
ap-7699	1204	15	completely	completely	ADV
ap-7699	1204	16	the	the	DET
ap-7699	1204	17	problem	problem	NOUN
ap-7699	1204	18	.	.	PUNCT
ap-7699	1205	1	and	and	CCONJ
ap-7699	1205	2	it	it	PRON
ap-7699	1205	3	seems	seem	VERB
ap-7699	1205	4	that	that	SCONJ
ap-7699	1205	5	sadly	sadly	ADV
ap-7699	1205	6	the	the	DET
ap-7699	1205	7	solutions	solution	NOUN
ap-7699	1205	8	proposed	propose	VERB
ap-7699	1205	9	in	in	ADP
ap-7699	1205	10	the	the	DET
ap-7699	1205	11	literature	literature	NOUN
ap-7699	1205	12	are	be	AUX
ap-7699	1205	13	not	not	PART
ap-7699	1205	14	compatible	compatible	ADJ
ap-7699	1205	15	and	and	CCONJ
ap-7699	1205	16	are	be	AUX
ap-7699	1205	17	unrelated	unrelated	ADJ
ap-7699	1205	18	to	to	ADP
ap-7699	1205	19	each	each	DET
ap-7699	1205	20	other	other	ADJ
ap-7699	1205	21	.	.	PUNCT
ap-7699	1206	1	therefore	therefore	ADV
ap-7699	1206	2	all	all	DET
ap-7699	1206	3	the	the	DET
ap-7699	1206	4	arguments	argument	NOUN
ap-7699	1206	5	given	give	VERB
ap-7699	1206	6	above	above	ADV
ap-7699	1206	7	should	should	AUX
ap-7699	1206	8	convince	convince	VERB
ap-7699	1206	9	the	the	DET
ap-7699	1206	10	reader	reader	NOUN
ap-7699	1206	11	that	that	SCONJ
ap-7699	1206	12	the	the	DET
ap-7699	1206	13	hd	hd	PROPN
ap-7699	1206	14	(	(	PUNCT
ap-7699	1206	15	gravitational	gravitational	ADJ
ap-7699	1206	16	)	)	PUNCT
ap-7699	1206	17	theories	theory	NOUN
ap-7699	1206	18	are	be	AUX
ap-7699	1206	19	stable	stable	ADJ
ap-7699	1206	20	on	on	ADP
ap-7699	1206	21	the	the	DET
ap-7699	1206	22	full	full	ADJ
ap-7699	1206	23	quantum	quantum	ADJ
ap-7699	1206	24	level	level	NOUN
ap-7699	1206	25	.	.	PUNCT
ap-7699	1207	1	in	in	ADP
ap-7699	1207	2	particular	particular	ADJ
ap-7699	1207	3	,	,	PUNCT
ap-7699	1207	4	this	this	PRON
ap-7699	1207	5	means	mean	VERB
ap-7699	1207	6	that	that	SCONJ
ap-7699	1207	7	for	for	ADP
ap-7699	1207	8	situations	situation	NOUN
ap-7699	1207	9	in	in	ADP
ap-7699	1207	10	which	which	PRON
ap-7699	1207	11	we	we	PRON
ap-7699	1207	12	can	can	AUX
ap-7699	1207	13	define	define	VERB
ap-7699	1207	14	asymptotic	asymptotic	ADJ
ap-7699	1207	15	states	state	NOUN
ap-7699	1207	16	(	(	PUNCT
ap-7699	1207	17	like	like	ADP
ap-7699	1207	18	for	for	ADP
ap-7699	1207	19	asymptotically	asymptotically	ADV
ap-7699	1207	20	flat	flat	ADJ
ap-7699	1207	21	spacetimes	spacetime	NOUN
ap-7699	1207	22	)	)	PUNCT
ap-7699	1207	23	the	the	DET
ap-7699	1207	24	scattering	scatter	VERB
ap-7699	1207	25	matrix	matrix	NOUN
ap-7699	1207	26	between	between	ADP
ap-7699	1207	27	fluctuations	fluctuation	NOUN
ap-7699	1207	28	of	of	ADP
ap-7699	1207	29	the	the	DET
ap-7699	1207	30	gravitational	gravitational	ADJ
ap-7699	1207	31	field	field	NOUN
ap-7699	1207	32	is	be	AUX
ap-7699	1207	33	unitary	unitary	ADJ
ap-7699	1207	34	on	on	ADP
ap-7699	1207	35	the	the	DET
ap-7699	1207	36	quantum	quantum	ADJ
ap-7699	1207	37	level	level	NOUN
ap-7699	1207	38	and	and	CCONJ
ap-7699	1207	39	both	both	CCONJ
ap-7699	1207	40	perturbatively	perturbatively	ADV
ap-7699	1207	41	and	and	CCONJ
ap-7699	1207	42	non	non	ADJ
ap-7699	1207	43	-	-	ADJ
ap-7699	1207	44	perturbatively	perturbatively	ADJ
ap-7699	1207	45	.	.	PUNCT
ap-7699	1208	1	6	6	X
ap-7699	1208	2	.	.	X
ap-7699	1208	3	conclusions	conclusion	NOUN
ap-7699	1208	4	in	in	ADP
ap-7699	1208	5	this	this	DET
ap-7699	1208	6	contribution	contribution	NOUN
ap-7699	1208	7	,	,	PUNCT
ap-7699	1208	8	we	we	PRON
ap-7699	1208	9	have	have	AUX
ap-7699	1208	10	discussed	discuss	VERB
ap-7699	1208	11	the	the	DET
ap-7699	1208	12	hd	hd	PROPN
ap-7699	1208	13	gravitational	gravitational	ADJ
ap-7699	1208	14	theories	theory	NOUN
ap-7699	1208	15	,	,	PUNCT
ap-7699	1208	16	in	in	ADP
ap-7699	1208	17	particular	particular	ADJ
ap-7699	1208	18	six	six	NUM
ap-7699	1208	19	-	-	PUNCT
ap-7699	1208	20	derivative	derivative	ADJ
ap-7699	1208	21	gravitational	gravitational	ADJ
ap-7699	1208	22	theories	theory	NOUN
ap-7699	1208	23	.	.	PUNCT
ap-7699	1209	1	first	first	ADV
ap-7699	1209	2	,	,	PUNCT
ap-7699	1209	3	we	we	PRON
ap-7699	1209	4	motivated	motivate	VERB
ap-7699	1209	5	them	they	PRON
ap-7699	1209	6	by	by	ADP
ap-7699	1209	7	emphasizing	emphasize	VERB
ap-7699	1209	8	their	their	PRON
ap-7699	1209	9	various	various	ADJ
ap-7699	1209	10	advantages	advantage	NOUN
ap-7699	1209	11	as	as	ADP
ap-7699	1209	12	for	for	ADP
ap-7699	1209	13	the	the	DET
ap-7699	1209	14	models	model	NOUN
ap-7699	1209	15	of	of	ADP
ap-7699	1209	16	consistent	consistent	ADJ
ap-7699	1209	17	quantum	quantum	ADJ
ap-7699	1209	18	gravities	gravity	NOUN
ap-7699	1209	19	.	.	PUNCT
ap-7699	1210	1	we	we	PRON
ap-7699	1210	2	showed	show	VERB
ap-7699	1210	3	that	that	SCONJ
ap-7699	1210	4	six	six	NUM
ap-7699	1210	5	-	-	PUNCT
ap-7699	1210	6	derivative	derivative	ADJ
ap-7699	1210	7	theories	theory	NOUN
ap-7699	1210	8	are	be	AUX
ap-7699	1210	9	even	even	ADV
ap-7699	1210	10	better	well	ADV
ap-7699	1210	11	behaved	behave	VERB
ap-7699	1210	12	on	on	ADP
ap-7699	1210	13	the	the	DET
ap-7699	1210	14	quantum	quantum	ADJ
ap-7699	1210	15	level	level	NOUN
ap-7699	1210	16	than	than	ADP
ap-7699	1210	17	just	just	ADV
ap-7699	1210	18	four	four	NUM
ap-7699	1210	19	-	-	PUNCT
ap-7699	1210	20	derivative	derivative	ADJ
ap-7699	1210	21	theories	theory	NOUN
ap-7699	1210	22	,	,	PUNCT
ap-7699	1210	23	although	although	SCONJ
ap-7699	1210	24	the	the	DET
ap-7699	1210	25	latter	latter	ADJ
ap-7699	1210	26	ones	one	NOUN
ap-7699	1210	27	are	be	AUX
ap-7699	1210	28	very	very	ADV
ap-7699	1210	29	useful	useful	ADJ
ap-7699	1210	30	regarding	regard	VERB
ap-7699	1210	31	scaleand	scaleand	ADJ
ap-7699	1210	32	conformal	conformal	ADJ
ap-7699	1210	33	invariance	invariance	NOUN
ap-7699	1210	34	of	of	ADP
ap-7699	1210	35	gravitational	gravitational	ADJ
ap-7699	1210	36	models	model	NOUN
ap-7699	1210	37	.	.	PUNCT
ap-7699	1211	1	moreover	moreover	ADV
ap-7699	1211	2	,	,	PUNCT
ap-7699	1211	3	the	the	DET
ap-7699	1211	4	models	model	NOUN
ap-7699	1211	5	with	with	ADP
ap-7699	1211	6	four	four	NUM
ap-7699	1211	7	-	-	PUNCT
ap-7699	1211	8	derivative	derivative	ADJ
ap-7699	1211	9	actions	action	NOUN
ap-7699	1211	10	serve	serve	VERB
ap-7699	1211	11	as	as	ADP
ap-7699	1211	12	good	good	ADJ
ap-7699	1211	13	starting	start	VERB
ap-7699	1211	14	examples	example	NOUN
ap-7699	1211	15	of	of	ADP
ap-7699	1211	16	hd	hd	NOUN
ap-7699	1211	17	theories	theory	NOUN
ap-7699	1211	18	and	and	CCONJ
ap-7699	1211	19	they	they	PRON
ap-7699	1211	20	are	be	AUX
ap-7699	1211	21	reference	reference	NOUN
ap-7699	1211	22	points	point	NOUN
ap-7699	1211	23	for	for	ADP
ap-7699	1211	24	consideration	consideration	NOUN
ap-7699	1211	25	of	of	ADP
ap-7699	1211	26	sixand	sixand	NOUN
ap-7699	1211	27	higher	high	ADJ
ap-7699	1211	28	order	order	NOUN
ap-7699	1211	29	gravitational	gravitational	ADJ
ap-7699	1211	30	theories	theory	NOUN
ap-7699	1211	31	.	.	PUNCT
ap-7699	1212	1	we	we	PRON
ap-7699	1212	2	first	first	ADV
ap-7699	1212	3	tried	try	VERB
ap-7699	1212	4	to	to	PART
ap-7699	1212	5	explain	explain	VERB
ap-7699	1212	6	the	the	DET
ap-7699	1212	7	dependence	dependence	NOUN
ap-7699	1212	8	of	of	ADP
ap-7699	1212	9	the	the	DET
ap-7699	1212	10	beta	beta	NOUN
ap-7699	1212	11	functions	function	NOUN
ap-7699	1212	12	in	in	ADP
ap-7699	1212	13	six	six	NUM
ap-7699	1212	14	-	-	PUNCT
ap-7699	1212	15	derivative	derivative	ADJ
ap-7699	1212	16	theories	theory	NOUN
ap-7699	1212	17	by	by	ADP
ap-7699	1212	18	drawing	draw	VERB
ap-7699	1212	19	analogies	analogy	NOUN
ap-7699	1212	20	exactly	exactly	ADV
ap-7699	1212	21	to	to	ADP
ap-7699	1212	22	these	these	DET
ap-7699	1212	23	prototype	prototype	NOUN
ap-7699	1212	24	theories	theory	NOUN
ap-7699	1212	25	of	of	ADP
ap-7699	1212	26	stelle	stelle	PROPN
ap-7699	1212	27	gravity	gravity	NOUN
ap-7699	1212	28	.	.	PUNCT
ap-7699	1213	1	we	we	PRON
ap-7699	1213	2	also	also	ADV
ap-7699	1213	3	emphasize	emphasize	VERB
ap-7699	1213	4	that	that	SCONJ
ap-7699	1213	5	only	only	ADV
ap-7699	1213	6	in	in	ADP
ap-7699	1213	7	six	six	NUM
ap-7699	1213	8	-	-	PUNCT
ap-7699	1213	9	derivative	derivative	ADJ
ap-7699	1213	10	gravitational	gravitational	ADJ
ap-7699	1213	11	models	model	NOUN
ap-7699	1213	12	we	we	PRON
ap-7699	1213	13	have	have	VERB
ap-7699	1213	14	the	the	DET
ap-7699	1213	15	very	very	ADV
ap-7699	1213	16	nice	nice	ADJ
ap-7699	1213	17	features	feature	NOUN
ap-7699	1213	18	of	of	ADP
ap-7699	1213	19	super	super	NOUN
ap-7699	1213	20	-	-	NOUN
ap-7699	1213	21	renormalizability	renormalizability	NOUN
ap-7699	1213	22	and	and	CCONJ
ap-7699	1213	23	the	the	DET
ap-7699	1213	24	narrow	narrow	ADJ
ap-7699	1213	25	but	but	CCONJ
ap-7699	1213	26	still	still	ADV
ap-7699	1213	27	viable	viable	ADJ
ap-7699	1213	28	option	option	NOUN
ap-7699	1213	29	for	for	ADP
ap-7699	1213	30	complete	complete	ADJ
ap-7699	1213	31	uv	uv	NOUN
ap-7699	1213	32	-	-	PUNCT
ap-7699	1213	33	finiteness	finiteness	NOUN
ap-7699	1213	34	.	.	PUNCT
ap-7699	1214	1	this	this	PRON
ap-7699	1214	2	is	be	AUX
ap-7699	1214	3	why	why	SCONJ
ap-7699	1214	4	we	we	PRON
ap-7699	1214	5	think	think	VERB
ap-7699	1214	6	super	super	ADJ
ap-7699	1214	7	-	-	ADJ
ap-7699	1214	8	renormalizable	renormalizable	ADJ
ap-7699	1214	9	six	six	NUM
ap-7699	1214	10	-	-	PUNCT
ap-7699	1214	11	derivative	derivative	ADJ
ap-7699	1214	12	theories	theory	NOUN
ap-7699	1214	13	have	have	VERB
ap-7699	1214	14	better	well	ADJ
ap-7699	1214	15	control	control	NOUN
ap-7699	1214	16	over	over	ADP
ap-7699	1214	17	perturbative	perturbative	ADJ
ap-7699	1214	18	uv	uv	NOUN
ap-7699	1214	19	divergences	divergence	NOUN
ap-7699	1214	20	and	and	CCONJ
ap-7699	1214	21	give	give	VERB
ap-7699	1214	22	us	we	PRON
ap-7699	1214	23	a	a	DET
ap-7699	1214	24	good	good	ADJ
ap-7699	1214	25	model	model	NOUN
ap-7699	1214	26	of	of	ADP
ap-7699	1214	27	qg	qg	PROPN
ap-7699	1214	28	,	,	PUNCT
ap-7699	1214	29	where	where	SCONJ
ap-7699	1214	30	this	this	DET
ap-7699	1214	31	last	last	ADJ
ap-7699	1214	32	issue	issue	NOUN
ap-7699	1214	33	with	with	ADP
ap-7699	1214	34	perturbative	perturbative	ADJ
ap-7699	1214	35	divergences	divergence	NOUN
ap-7699	1214	36	is	be	AUX
ap-7699	1214	37	finally	finally	ADV
ap-7699	1214	38	fully	fully	ADV
ap-7699	1214	39	under	under	ADP
ap-7699	1214	40	our	our	PRON
ap-7699	1214	41	control	control	NOUN
ap-7699	1214	42	and	and	CCONJ
ap-7699	1214	43	theoretical	theoretical	ADJ
ap-7699	1214	44	understanding	understanding	NOUN
ap-7699	1214	45	.	.	PUNCT
ap-7699	1215	1	in	in	ADP
ap-7699	1215	2	the	the	DET
ap-7699	1215	3	main	main	ADJ
ap-7699	1215	4	part	part	NOUN
ap-7699	1215	5	of	of	ADP
ap-7699	1215	6	this	this	DET
ap-7699	1215	7	paper	paper	NOUN
ap-7699	1215	8	,	,	PUNCT
ap-7699	1215	9	we	we	PRON
ap-7699	1215	10	analyzed	analyze	VERB
ap-7699	1215	11	the	the	DET
ap-7699	1215	12	structure	structure	NOUN
ap-7699	1215	13	of	of	ADP
ap-7699	1215	14	perturbative	perturbative	ADJ
ap-7699	1215	15	one	one	NUM
ap-7699	1215	16	-	-	PUNCT
ap-7699	1215	17	loop	loop	NOUN
ap-7699	1215	18	beta	beta	NOUN
ap-7699	1215	19	functions	function	NOUN
ap-7699	1215	20	in	in	ADP
ap-7699	1215	21	sixderivative	sixderivative	ADJ
ap-7699	1215	22	gravity	gravity	NOUN
ap-7699	1215	23	for	for	ADP
ap-7699	1215	24	couplings	coupling	NOUN
ap-7699	1215	25	in	in	ADP
ap-7699	1215	26	front	front	NOUN
ap-7699	1215	27	of	of	ADP
ap-7699	1215	28	terms	term	NOUN
ap-7699	1215	29	containing	contain	VERB
ap-7699	1215	30	precisely	precisely	ADV
ap-7699	1215	31	four	four	NUM
ap-7699	1215	32	-	-	PUNCT
ap-7699	1215	33	derivative	derivative	NOUN
ap-7699	1215	34	in	in	ADP
ap-7699	1215	35	the	the	DET
ap-7699	1215	36	uv	uv	NOUN
ap-7699	1215	37	-	-	PUNCT
ap-7699	1215	38	divergent	divergent	ADJ
ap-7699	1215	39	part	part	NOUN
ap-7699	1215	40	of	of	ADP
ap-7699	1215	41	the	the	DET
ap-7699	1215	42	effective	effective	ADJ
ap-7699	1215	43	actions	action	NOUN
ap-7699	1215	44	.	.	PUNCT
ap-7699	1216	1	these	these	DET
ap-7699	1216	2	terms	term	NOUN
ap-7699	1216	3	can	can	AUX
ap-7699	1216	4	be	be	AUX
ap-7699	1216	5	considered	consider	VERB
ap-7699	1216	6	as	as	ADP
ap-7699	1216	7	scale	scale	NOUN
ap-7699	1216	8	-	-	PUNCT
ap-7699	1216	9	invariant	invariant	ADJ
ap-7699	1216	10	term	term	NOUN
ap-7699	1216	11	since	since	SCONJ
ap-7699	1216	12	couplings	coupling	NOUN
ap-7699	1216	13	in	in	ADP
ap-7699	1216	14	front	front	NOUN
ap-7699	1216	15	of	of	ADP
ap-7699	1216	16	them	they	PRON
ap-7699	1216	17	are	be	AUX
ap-7699	1216	18	all	all	ADV
ap-7699	1216	19	dimensionless	dimensionless	NOUN
ap-7699	1216	20	in	in	ADP
ap-7699	1216	21	d	d	PROPN
ap-7699	1216	22	=	=	SYM
ap-7699	1216	23	4	4	NUM
ap-7699	1216	24	spacetime	spacetime	NOUN
ap-7699	1216	25	dimensions	dimension	NOUN
ap-7699	1216	26	.	.	PUNCT
ap-7699	1217	1	our	our	PRON
ap-7699	1217	2	calculation	calculation	NOUN
ap-7699	1217	3	for	for	ADP
ap-7699	1217	4	these	these	DET
ap-7699	1217	5	divergences	divergence	NOUN
ap-7699	1217	6	was	be	AUX
ap-7699	1217	7	done	do	VERB
ap-7699	1217	8	originally	originally	ADV
ap-7699	1217	9	in	in	ADP
ap-7699	1217	10	the	the	DET
ap-7699	1217	11	euclidean	euclidean	ADJ
ap-7699	1217	12	signature	signature	NOUN
ap-7699	1217	13	using	use	VERB
ap-7699	1217	14	the	the	DET
ap-7699	1217	15	so	so	ADV
ap-7699	1217	16	-	-	PUNCT
ap-7699	1217	17	called	call	VERB
ap-7699	1217	18	barvinsky	barvinsky	ADJ
ap-7699	1217	19	-	-	PUNCT
ap-7699	1217	20	vilkovisky	vilkovisky	NOUN
ap-7699	1217	21	trace	trace	NOUN
ap-7699	1217	22	technology	technology	NOUN
ap-7699	1217	23	.	.	PUNCT
ap-7699	1218	1	however	however	ADV
ap-7699	1218	2	,	,	PUNCT
ap-7699	1218	3	the	the	DET
ap-7699	1218	4	results	result	NOUN
ap-7699	1218	5	are	be	AUX
ap-7699	1218	6	the	the	DET
ap-7699	1218	7	same	same	ADJ
ap-7699	1218	8	also	also	ADV
ap-7699	1218	9	in	in	ADP
ap-7699	1218	10	the	the	DET
ap-7699	1218	11	minkowskian	minkowskian	PROPN
ap-7699	1218	12	signature	signature	NOUN
ap-7699	1218	13	independently	independently	ADV
ap-7699	1218	14	which	which	DET
ap-7699	1218	15	prescription	prescription	NOUN
ap-7699	1218	16	one	one	PRON
ap-7699	1218	17	uses	use	VERB
ap-7699	1218	18	to	to	PART
ap-7699	1218	19	rotate	rotate	VERB
ap-7699	1218	20	back	back	ADV
ap-7699	1218	21	to	to	ADP
ap-7699	1218	22	the	the	DET
ap-7699	1218	23	physical	physical	ADJ
ap-7699	1218	24	relativistic	relativistic	ADJ
ap-7699	1218	25	lorentz	lorentz	PROPN
ap-7699	1218	26	signature	signature	NOUN
ap-7699	1218	27	case	case	NOUN
ap-7699	1218	28	,	,	PUNCT
ap-7699	1218	29	whether	whether	SCONJ
ap-7699	1218	30	this	this	PRON
ap-7699	1218	31	is	be	AUX
ap-7699	1218	32	standard	standard	ADJ
ap-7699	1218	33	wick	wick	NOUN
ap-7699	1218	34	rotation	rotation	NOUN
ap-7699	1218	35	,	,	PUNCT
ap-7699	1218	36	or	or	CCONJ
ap-7699	1218	37	the	the	DET
ap-7699	1218	38	one	one	NOUN
ap-7699	1218	39	using	use	VERB
ap-7699	1218	40	anselmi	anselmi	ADJ
ap-7699	1218	41	-	-	PUNCT
ap-7699	1218	42	piva	piva	ADJ
ap-7699	1218	43	prescription	prescription	NOUN
ap-7699	1218	44	using	use	VERB
ap-7699	1218	45	fakeons	fakeon	NOUN
ap-7699	1218	46	.	.	PUNCT
ap-7699	1219	1	this	this	PRON
ap-7699	1219	2	is	be	AUX
ap-7699	1219	3	because	because	SCONJ
ap-7699	1219	4	they	they	PRON
ap-7699	1219	5	are	be	AUX
ap-7699	1219	6	the	the	DET
ap-7699	1219	7	leading	lead	VERB
ap-7699	1219	8	divergences	divergence	NOUN
ap-7699	1219	9	in	in	ADP
ap-7699	1219	10	the	the	DET
ap-7699	1219	11	uv	uv	NOUN
ap-7699	1219	12	regime	regime	NOUN
ap-7699	1219	13	,	,	PUNCT
ap-7699	1219	14	and	and	CCONJ
ap-7699	1219	15	hence	hence	ADV
ap-7699	1219	16	they	they	PRON
ap-7699	1219	17	do	do	AUX
ap-7699	1219	18	not	not	PART
ap-7699	1219	19	completely	completely	ADV
ap-7699	1219	20	depend	depend	VERB
ap-7699	1219	21	how	how	SCONJ
ap-7699	1219	22	the	the	DET
ap-7699	1219	23	rotation	rotation	NOUN
ap-7699	1219	24	procedure	procedure	NOUN
ap-7699	1219	25	is	be	AUX
ap-7699	1219	26	done	do	VERB
ap-7699	1219	27	from	from	ADP
ap-7699	1219	28	euclidean	euclidean	ADJ
ap-7699	1219	29	to	to	ADP
ap-7699	1219	30	minkowskian	minkowskian	VERB
ap-7699	1219	31	and	and	CCONJ
ap-7699	1219	32	how	how	SCONJ
ap-7699	1219	33	for	for	ADP
ap-7699	1219	34	example	example	NOUN
ap-7699	1219	35	the	the	DET
ap-7699	1219	36	contributions	contribution	NOUN
ap-7699	1219	37	of	of	ADP
ap-7699	1219	38	arcs	arc	NOUN
ap-7699	1219	39	on	on	ADP
ap-7699	1219	40	the	the	DET
ap-7699	1219	41	complex	complex	ADJ
ap-7699	1219	42	plane	plane	NOUN
ap-7699	1219	43	is	be	AUX
ap-7699	1219	44	taken	take	VERB
ap-7699	1219	45	into	into	ADP
ap-7699	1219	46	account	account	NOUN
ap-7699	1219	47	since	since	SCONJ
ap-7699	1219	48	the	the	DET
ap-7699	1219	49	last	last	ADJ
ap-7699	1219	50	ones	one	NOUN
ap-7699	1219	51	give	give	VERB
ap-7699	1219	52	subleading	subleade	VERB
ap-7699	1219	53	contributions	contribution	NOUN
ap-7699	1219	54	to	to	ADP
ap-7699	1219	55	the	the	DET
ap-7699	1219	56	uv	uv	NOUN
ap-7699	1219	57	-	-	PUNCT
ap-7699	1219	58	divergent	divergent	ADJ
ap-7699	1219	59	integrals	integral	NOUN
ap-7699	1219	60	.	.	PUNCT
ap-7699	1220	1	moreover	moreover	ADV
ap-7699	1220	2	,	,	PUNCT
ap-7699	1220	3	the	the	DET
ap-7699	1220	4	calculations	calculation	NOUN
ap-7699	1220	5	of	of	ADP
ap-7699	1220	6	beta	beta	ADJ
ap-7699	1220	7	functions	function	NOUN
ap-7699	1220	8	that	that	PRON
ap-7699	1220	9	we	we	PRON
ap-7699	1220	10	presented	present	VERB
ap-7699	1220	11	in	in	ADP
ap-7699	1220	12	this	this	DET
ap-7699	1220	13	paper	paper	NOUN
ap-7699	1220	14	has	have	VERB
ap-7699	1220	15	very	very	ADV
ap-7699	1220	16	nice	nice	ADJ
ap-7699	1220	17	and	and	CCONJ
ap-7699	1220	18	important	important	ADJ
ap-7699	1220	19	features	feature	NOUN
ap-7699	1220	20	of	of	ADP
ap-7699	1220	21	being	be	AUX
ap-7699	1220	22	renormalization	renormalization	NOUN
ap-7699	1220	23	scheme	scheme	NOUN
ap-7699	1220	24	-	-	PUNCT
ap-7699	1220	25	independent	independent	NOUN
ap-7699	1220	26	since	since	SCONJ
ap-7699	1220	27	they	they	PRON
ap-7699	1220	28	are	be	AUX
ap-7699	1220	29	done	do	VERB
ap-7699	1220	30	at	at	ADP
ap-7699	1220	31	the	the	DET
ap-7699	1220	32	one	one	NUM
ap-7699	1220	33	-	-	PUNCT
ap-7699	1220	34	loop	loop	NOUN
ap-7699	1220	35	,	,	PUNCT
ap-7699	1220	36	but	but	CCONJ
ap-7699	1220	37	the	the	DET
ap-7699	1220	38	expressions	expression	NOUN
ap-7699	1220	39	we	we	PRON
ap-7699	1220	40	get	get	VERB
ap-7699	1220	41	for	for	ADP
ap-7699	1220	42	them	they	PRON
ap-7699	1220	43	are	be	AUX
ap-7699	1220	44	valid	valid	ADJ
ap-7699	1220	45	universally	universally	ADV
ap-7699	1220	46	.	.	PUNCT
ap-7699	1221	1	these	these	PRON
ap-7699	1221	2	are	be	AUX
ap-7699	1221	3	exact	exact	ADJ
ap-7699	1221	4	beta	beta	NOUN
ap-7699	1221	5	functions	function	NOUN
ap-7699	1221	6	since	since	SCONJ
ap-7699	1221	7	they	they	PRON
ap-7699	1221	8	do	do	AUX
ap-7699	1221	9	not	not	PART
ap-7699	1221	10	receive	receive	VERB
ap-7699	1221	11	any	any	DET
ap-7699	1221	12	perturbative	perturbative	ADJ
ap-7699	1221	13	corrections	correction	NOUN
ap-7699	1221	14	at	at	ADP
ap-7699	1221	15	the	the	DET
ap-7699	1221	16	higher	high	ADJ
ap-7699	1221	17	loop	loop	NOUN
ap-7699	1221	18	orders	order	NOUN
ap-7699	1221	19	since	since	SCONJ
ap-7699	1221	20	the	the	DET
ap-7699	1221	21	six	six	NUM
ap-7699	1221	22	-	-	PUNCT
ap-7699	1221	23	derivative	derivative	ADJ
ap-7699	1221	24	gravitational	gravitational	ADJ
ap-7699	1221	25	theory	theory	NOUN
ap-7699	1221	26	is	be	AUX
ap-7699	1221	27	super	super	ADJ
ap-7699	1221	28	-	-	ADJ
ap-7699	1221	29	renormalizable	renormalizable	ADJ
ap-7699	1221	30	in	in	ADP
ap-7699	1221	31	d	d	PROPN
ap-7699	1221	32	=	=	SYM
ap-7699	1221	33	4	4	NUM
ap-7699	1221	34	.	.	PUNCT
ap-7699	1222	1	another	another	DET
ap-7699	1222	2	part	part	NOUN
ap-7699	1222	3	of	of	ADP
ap-7699	1222	4	good	good	ADJ
ap-7699	1222	5	properties	property	NOUN
ap-7699	1222	6	of	of	ADP
ap-7699	1222	7	the	the	DET
ap-7699	1222	8	beta	beta	NOUN
ap-7699	1222	9	functions	function	NOUN
ap-7699	1222	10	obtained	obtain	VERB
ap-7699	1222	11	here	here	ADV
ap-7699	1222	12	are	be	AUX
ap-7699	1222	13	the	the	DET
ap-7699	1222	14	complete	complete	ADJ
ap-7699	1222	15	gauge	gauge	NOUN
ap-7699	1222	16	independence	independence	NOUN
ap-7699	1222	17	and	and	CCONJ
ap-7699	1222	18	also	also	ADV
ap-7699	1222	19	independence	independence	NOUN
ap-7699	1222	20	on	on	ADP
ap-7699	1222	21	the	the	DET
ap-7699	1222	22	gauge	gauge	NOUN
ap-7699	1222	23	-	-	PUNCT
ap-7699	1222	24	fixing	fix	VERB
ap-7699	1222	25	parameters	parameter	NOUN
ap-7699	1222	26	one	one	PRON
ap-7699	1222	27	can	can	AUX
ap-7699	1222	28	use	use	VERB
ap-7699	1222	29	in	in	ADP
ap-7699	1222	30	the	the	DET
ap-7699	1222	31	definition	definition	NOUN
ap-7699	1222	32	of	of	ADP
ap-7699	1222	33	the	the	DET
ap-7699	1222	34	gauge	gauge	NOUN
ap-7699	1222	35	-	-	PUNCT
ap-7699	1222	36	fixing	fix	VERB
ap-7699	1222	37	functional	functional	ADJ
ap-7699	1222	38	.	.	PUNCT
ap-7699	1223	1	these	these	DET
ap-7699	1223	2	last	last	ADJ
ap-7699	1223	3	two	two	NUM
ap-7699	1223	4	properties	property	NOUN
ap-7699	1223	5	are	be	AUX
ap-7699	1223	6	very	very	ADV
ap-7699	1223	7	important	important	ADJ
ap-7699	1223	8	since	since	SCONJ
ap-7699	1223	9	in	in	ADP
ap-7699	1223	10	general	general	ADJ
ap-7699	1223	11	gravitational	gravitational	ADJ
ap-7699	1223	12	theory	theory	NOUN
ap-7699	1223	13	we	we	PRON
ap-7699	1223	14	have	have	VERB
ap-7699	1223	15	the	the	DET
ap-7699	1223	16	access	access	NOUN
ap-7699	1223	17	to	to	ADP
ap-7699	1223	18	perturbative	perturbative	ADJ
ap-7699	1223	19	computation	computation	NOUN
ap-7699	1223	20	only	only	ADV
ap-7699	1223	21	after	after	ADP
ap-7699	1223	22	introducing	introduce	VERB
ap-7699	1223	23	some	some	DET
ap-7699	1223	24	spurious	spurious	ADJ
ap-7699	1223	25	element	element	NOUN
ap-7699	1223	26	to	to	ADP
ap-7699	1223	27	the	the	DET
ap-7699	1223	28	formalism	formalism	NOUN
ap-7699	1223	29	which	which	PRON
ap-7699	1223	30	are	be	AUX
ap-7699	1223	31	related	relate	VERB
ap-7699	1223	32	to	to	PART
ap-7699	1223	33	gauge	gauge	VERB
ap-7699	1223	34	freedoms	freedom	NOUN
ap-7699	1223	35	(	(	PUNCT
ap-7699	1223	36	in	in	ADP
ap-7699	1223	37	this	this	DET
ap-7699	1223	38	case	case	NOUN
ap-7699	1223	39	these	these	PRON
ap-7699	1223	40	are	be	AUX
ap-7699	1223	41	diffeomorphism	diffeomorphism	NOUN
ap-7699	1223	42	symmetries	symmetry	NOUN
ap-7699	1223	43	)	)	PUNCT
ap-7699	1223	44	.	.	PUNCT
ap-7699	1224	1	we	we	PRON
ap-7699	1224	2	modify	modify	VERB
ap-7699	1224	3	the	the	DET
ap-7699	1224	4	original	original	ADJ
ap-7699	1224	5	theory	theory	NOUN
ap-7699	1224	6	(	(	PUNCT
ap-7699	1224	7	from	from	ADP
ap-7699	1224	8	the	the	DET
ap-7699	1224	9	canonical	canonical	ADJ
ap-7699	1224	10	formalism	formalism	NOUN
ap-7699	1224	11	)	)	PUNCT
ap-7699	1224	12	by	by	ADP
ap-7699	1224	13	adding	add	VERB
ap-7699	1224	14	various	various	ADJ
ap-7699	1224	15	additional	additional	ADJ
ap-7699	1224	16	fields	field	NOUN
ap-7699	1224	17	and	and	CCONJ
ap-7699	1224	18	various	various	ADJ
ap-7699	1224	19	spurious	spurious	ADJ
ap-7699	1224	20	nonphysical	nonphysical	ADJ
ap-7699	1224	21	(	(	PUNCT
ap-7699	1224	22	gauge	gauge	NOUN
ap-7699	1224	23	)	)	PUNCT
ap-7699	1224	24	polarizations	polarization	NOUN
ap-7699	1224	25	of	of	ADP
ap-7699	1224	26	mediating	mediate	VERB
ap-7699	1224	27	gauge	gauge	NOUN
ap-7699	1224	28	bosons	boson	NOUN
ap-7699	1224	29	(	(	PUNCT
ap-7699	1224	30	in	in	ADP
ap-7699	1224	31	our	our	PRON
ap-7699	1224	32	case	case	NOUN
ap-7699	1224	33	of	of	ADP
ap-7699	1224	34	gravitons	graviton	NOUN
ap-7699	1224	35	)	)	PUNCT
ap-7699	1224	36	in	in	ADP
ap-7699	1224	37	order	order	NOUN
ap-7699	1224	38	also	also	ADV
ap-7699	1224	39	to	to	PART
ap-7699	1224	40	preserve	preserve	VERB
ap-7699	1224	41	relativistic	relativistic	ADJ
ap-7699	1224	42	invariances	invariance	NOUN
ap-7699	1224	43	.	.	PUNCT
ap-7699	1225	1	these	these	PRON
ap-7699	1225	2	are	be	AUX
ap-7699	1225	3	redundancies	redundancy	NOUN
ap-7699	1225	4	that	that	PRON
ap-7699	1225	5	have	have	VERB
ap-7699	1225	6	to	to	PART
ap-7699	1225	7	be	be	AUX
ap-7699	1225	8	eliminated	eliminate	VERB
ap-7699	1225	9	when	when	SCONJ
ap-7699	1225	10	at	at	ADP
ap-7699	1225	11	the	the	DET
ap-7699	1225	12	end	end	NOUN
ap-7699	1225	13	one	one	NUM
ap-7699	1225	14	wants	want	VERB
ap-7699	1225	15	to	to	PART
ap-7699	1225	16	compute	compute	VERB
ap-7699	1225	17	some	some	DET
ap-7699	1225	18	physical	physical	ADJ
ap-7699	1225	19	observables	observable	NOUN
ap-7699	1225	20	.	.	PUNCT
ap-7699	1226	1	therefore	therefore	ADV
ap-7699	1226	2	,	,	PUNCT
ap-7699	1226	3	it	it	PRON
ap-7699	1226	4	is	be	AUX
ap-7699	1226	5	very	very	ADV
ap-7699	1226	6	reassuring	reassuring	ADJ
ap-7699	1226	7	that	that	SCONJ
ap-7699	1226	8	our	our	PRON
ap-7699	1226	9	final	final	ADJ
ap-7699	1226	10	results	result	NOUN
ap-7699	1226	11	are	be	AUX
ap-7699	1226	12	completely	completely	ADV
ap-7699	1226	13	insensitive	insensitive	ADJ
ap-7699	1226	14	to	to	ADP
ap-7699	1226	15	these	these	DET
ap-7699	1226	16	gauge	gauge	NOUN
ap-7699	1226	17	-	-	PUNCT
ap-7699	1226	18	driven	drive	VERB
ap-7699	1226	19	modifications	modification	NOUN
ap-7699	1226	20	of	of	ADP
ap-7699	1226	21	original	original	ADJ
ap-7699	1226	22	theories	theory	NOUN
ap-7699	1226	23	.	.	PUNCT
ap-7699	1227	1	our	our	PRON
ap-7699	1227	2	beta	beta	NOUN
ap-7699	1227	3	functions	function	NOUN
ap-7699	1227	4	being	be	AUX
ap-7699	1227	5	exact	exact	ADJ
ap-7699	1227	6	and	and	CCONJ
ap-7699	1227	7	with	with	ADP
ap-7699	1227	8	a	a	DET
ap-7699	1227	9	lot	lot	NOUN
ap-7699	1227	10	of	of	ADP
ap-7699	1227	11	nice	nice	ADJ
ap-7699	1227	12	other	other	ADJ
ap-7699	1227	13	properties	property	NOUN
ap-7699	1227	14	,	,	PUNCT
ap-7699	1227	15	constitute	constitute	VERB
ap-7699	1227	16	one	one	NUM
ap-7699	1227	17	significant	significant	ADJ
ap-7699	1227	18	part	part	NOUN
ap-7699	1227	19	of	of	ADP
ap-7699	1227	20	the	the	DET
ap-7699	1227	21	accessible	accessible	ADJ
ap-7699	1227	22	observables	observable	NOUN
ap-7699	1227	23	in	in	ADP
ap-7699	1227	24	the	the	DET
ap-7699	1227	25	qg	qg	PROPN
ap-7699	1227	26	model	model	NOUN
ap-7699	1227	27	with	with	ADP
ap-7699	1227	28	six	six	NUM
ap-7699	1227	29	-	-	PUNCT
ap-7699	1227	30	derivative	derivative	ADJ
ap-7699	1227	31	actions	action	NOUN
ap-7699	1227	32	.	.	PUNCT
ap-7699	1228	1	their	their	PRON
ap-7699	1228	2	computation	computation	NOUN
ap-7699	1228	3	is	be	AUX
ap-7699	1228	4	a	a	DET
ap-7699	1228	5	nice	nice	ADJ
ap-7699	1228	6	theoretical	theoretical	ADJ
ap-7699	1228	7	exercise	exercise	NOUN
ap-7699	1228	8	,	,	PUNCT
ap-7699	1228	9	which	which	PRON
ap-7699	1228	10	of	of	ADP
ap-7699	1228	11	course	course	NOUN
ap-7699	1228	12	from	from	ADP
ap-7699	1228	13	the	the	DET
ap-7699	1228	14	sense	sense	NOUN
ap-7699	1228	15	of	of	ADP
ap-7699	1228	16	algebraic	algebraic	ADJ
ap-7699	1228	17	and	and	CCONJ
ap-7699	1228	18	analytic	analytic	ADJ
ap-7699	1228	19	methods	method	NOUN
ap-7699	1228	20	used	use	VERB
ap-7699	1228	21	in	in	ADP
ap-7699	1228	22	mathematical	mathematical	ADJ
ap-7699	1228	23	physics	physics	NOUN
ap-7699	1228	24	has	have	VERB
ap-7699	1228	25	its	its	PRON
ap-7699	1228	26	own	own	ADJ
ap-7699	1228	27	sake	sake	NOUN
ap-7699	1228	28	of	of	ADP
ap-7699	1228	29	interest	interest	NOUN
ap-7699	1228	30	.	.	PUNCT
ap-7699	1229	1	however	however	ADV
ap-7699	1229	2	,	,	PUNCT
ap-7699	1229	3	as	as	SCONJ
ap-7699	1229	4	we	we	PRON
ap-7699	1229	5	emphasized	emphasize	VERB
ap-7699	1229	6	above	above	ADP
ap-7699	1229	7	these	these	DET
ap-7699	1229	8	final	final	ADJ
ap-7699	1229	9	results	result	NOUN
ap-7699	1229	10	for	for	ADP
ap-7699	1229	11	the	the	DET
ap-7699	1229	12	beta	beta	NOUN
ap-7699	1229	13	functions	function	NOUN
ap-7699	1229	14	may	may	AUX
ap-7699	1229	15	have	have	AUX
ap-7699	1229	16	also	also	ADV
ap-7699	1229	17	meaning	mean	VERB
ap-7699	1229	18	as	as	ADP
ap-7699	1229	19	true	true	ADJ
ap-7699	1229	20	physical	physical	ADJ
ap-7699	1229	21	observables	observable	NOUN
ap-7699	1229	22	in	in	ADP
ap-7699	1229	23	the	the	DET
ap-7699	1229	24	model	model	NOUN
ap-7699	1229	25	of	of	ADP
ap-7699	1229	26	six	six	NUM
ap-7699	1229	27	-	-	PUNCT
ap-7699	1229	28	derivative	derivative	ADJ
ap-7699	1229	29	qg	qg	PROPN
ap-7699	1229	30	theories	theory	NOUN
ap-7699	1229	31	.	.	PUNCT
ap-7699	1230	1	151	151	NUM
ap-7699	1230	2	lesław	lesław	PROPN
ap-7699	1230	3	rachwał	rachwał	PROPN
ap-7699	1230	4	acta	acta	PROPN
ap-7699	1230	5	polytechnica	polytechnica	PROPN
ap-7699	1230	6	we	we	PRON
ap-7699	1230	7	described	describe	VERB
ap-7699	1230	8	in	in	ADP
ap-7699	1230	9	greater	great	ADJ
ap-7699	1230	10	detail	detail	NOUN
ap-7699	1230	11	the	the	DET
ap-7699	1230	12	analysis	analysis	NOUN
ap-7699	1230	13	of	of	ADP
ap-7699	1230	14	the	the	DET
ap-7699	1230	15	structure	structure	NOUN
ap-7699	1230	16	of	of	ADP
ap-7699	1230	17	beta	beta	ADJ
ap-7699	1230	18	functions	function	NOUN
ap-7699	1230	19	in	in	ADP
ap-7699	1230	20	this	this	DET
ap-7699	1230	21	model	model	NOUN
ap-7699	1230	22	.	.	PUNCT
ap-7699	1231	1	first	first	ADV
ap-7699	1231	2	we	we	PRON
ap-7699	1231	3	used	use	VERB
ap-7699	1231	4	arguments	argument	NOUN
ap-7699	1231	5	of	of	ADP
ap-7699	1231	6	energy	energy	NOUN
ap-7699	1231	7	dimensionality	dimensionality	NOUN
ap-7699	1231	8	and	and	CCONJ
ap-7699	1231	9	the	the	DET
ap-7699	1231	10	dependence	dependence	NOUN
ap-7699	1231	11	of	of	ADP
ap-7699	1231	12	couplings	coupling	NOUN
ap-7699	1231	13	on	on	ADP
ap-7699	1231	14	the	the	DET
ap-7699	1231	15	dimensionless	dimensionless	ADJ
ap-7699	1231	16	fundamental	fundamental	ADJ
ap-7699	1231	17	ratio	ratio	NOUN
ap-7699	1231	18	of	of	ADP
ap-7699	1231	19	the	the	DET
ap-7699	1231	20	theory	theory	NOUN
ap-7699	1231	21	x.	x.	NOUN
ap-7699	1232	1	next	next	ADV
ap-7699	1232	2	,	,	PUNCT
ap-7699	1232	3	we	we	PRON
ap-7699	1232	4	tried	try	VERB
ap-7699	1232	5	to	to	PART
ap-7699	1232	6	draw	draw	VERB
ap-7699	1232	7	a	a	DET
ap-7699	1232	8	comparison	comparison	NOUN
ap-7699	1232	9	between	between	ADP
ap-7699	1232	10	the	the	DET
ap-7699	1232	11	structure	structure	NOUN
ap-7699	1232	12	of	of	ADP
ap-7699	1232	13	4	4	NUM
ap-7699	1232	14	-	-	PUNCT
ap-7699	1232	15	derivative	derivative	ADJ
ap-7699	1232	16	gravitational	gravitational	ADJ
ap-7699	1232	17	stelle	stelle	NOUN
ap-7699	1232	18	theory	theory	NOUN
ap-7699	1232	19	and	and	CCONJ
ap-7699	1232	20	six	six	NUM
ap-7699	1232	21	-	-	PUNCT
ap-7699	1232	22	derivative	derivative	ADJ
ap-7699	1232	23	theory	theory	NOUN
ap-7699	1232	24	in	in	ADP
ap-7699	1232	25	d	d	PROPN
ap-7699	1232	26	=	=	SYM
ap-7699	1232	27	4	4	NUM
ap-7699	1232	28	dimensions	dimension	NOUN
ap-7699	1232	29	.	.	PUNCT
ap-7699	1233	1	we	we	PRON
ap-7699	1233	2	showed	show	VERB
ap-7699	1233	3	the	the	DET
ap-7699	1233	4	dependence	dependence	NOUN
ap-7699	1233	5	on	on	ADP
ap-7699	1233	6	the	the	DET
ap-7699	1233	7	parameters	parameter	NOUN
ap-7699	1233	8	x	x	PUNCT
ap-7699	1233	9	is	be	AUX
ap-7699	1233	10	quite	quite	ADV
ap-7699	1233	11	opposite	opposite	ADJ
ap-7699	1233	12	in	in	ADP
ap-7699	1233	13	two	two	NUM
ap-7699	1233	14	cases	case	NOUN
ap-7699	1233	15	.	.	PUNCT
ap-7699	1234	1	the	the	DET
ap-7699	1234	2	case	case	NOUN
ap-7699	1234	3	with	with	ADP
ap-7699	1234	4	four	four	NUM
ap-7699	1234	5	-	-	PUNCT
ap-7699	1234	6	derivative	derivative	ADJ
ap-7699	1234	7	theory	theory	NOUN
ap-7699	1234	8	is	be	AUX
ap-7699	1234	9	exceptional	exceptional	ADJ
ap-7699	1234	10	because	because	SCONJ
ap-7699	1234	11	the	the	DET
ap-7699	1234	12	model	model	NOUN
ap-7699	1234	13	without	without	ADP
ap-7699	1234	14	any	any	DET
ap-7699	1234	15	r	r	NOUN
ap-7699	1234	16	term	term	NOUN
ap-7699	1234	17	in	in	ADP
ap-7699	1234	18	the	the	DET
ap-7699	1234	19	action	action	NOUN
ap-7699	1234	20	(	(	PUNCT
ap-7699	1234	21	and	and	CCONJ
ap-7699	1234	22	also	also	ADV
ap-7699	1234	23	without	without	ADP
ap-7699	1234	24	the	the	DET
ap-7699	1234	25	cosmological	cosmological	ADJ
ap-7699	1234	26	constant	constant	ADJ
ap-7699	1234	27	term	term	NOUN
ap-7699	1234	28	)	)	PUNCT
ap-7699	1234	29	enjoys	enjoy	VERB
ap-7699	1234	30	enhanced	enhance	VERB
ap-7699	1234	31	symmetry	symmetry	NOUN
ap-7699	1234	32	and	and	CCONJ
ap-7699	1234	33	then	then	ADV
ap-7699	1234	34	the	the	DET
ap-7699	1234	35	quantum	quantum	PROPN
ap-7699	1234	36	conformal	conformal	NOUN
ap-7699	1234	37	gravity	gravity	NOUN
ap-7699	1234	38	is	be	AUX
ap-7699	1234	39	renormalizable	renormalizable	ADJ
ap-7699	1234	40	at	at	ADP
ap-7699	1234	41	the	the	DET
ap-7699	1234	42	one	one	NUM
ap-7699	1234	43	-	-	PUNCT
ap-7699	1234	44	loop	loop	NOUN
ap-7699	1234	45	order	order	NOUN
ap-7699	1234	46	,	,	PUNCT
ap-7699	1234	47	so	so	CCONJ
ap-7699	1234	48	then	then	ADV
ap-7699	1234	49	it	it	PRON
ap-7699	1234	50	is	be	AUX
ap-7699	1234	51	a	a	DET
ap-7699	1234	52	special	special	ADJ
ap-7699	1234	53	case	case	NOUN
ap-7699	1234	54	of	of	ADP
ap-7699	1234	55	a	a	DET
ap-7699	1234	56	sensible	sensible	ADJ
ap-7699	1234	57	quantum	quantum	ADJ
ap-7699	1234	58	physical	physical	ADJ
ap-7699	1234	59	theory	theory	NOUN
ap-7699	1234	60	(	(	PUNCT
ap-7699	1234	61	up	up	ADP
ap-7699	1234	62	to	to	ADP
ap-7699	1234	63	conformal	conformal	ADJ
ap-7699	1234	64	anomaly	anomaly	NOUN
ap-7699	1234	65	problems	problem	NOUN
ap-7699	1234	66	discussed	discuss	VERB
ap-7699	1234	67	earlier	early	ADV
ap-7699	1234	68	)	)	PUNCT
ap-7699	1234	69	.	.	PUNCT
ap-7699	1235	1	we	we	PRON
ap-7699	1235	2	also	also	ADV
ap-7699	1235	3	remark	remark	VERB
ap-7699	1235	4	that	that	SCONJ
ap-7699	1235	5	in	in	ADP
ap-7699	1235	6	the	the	DET
ap-7699	1235	7	cases	case	NOUN
ap-7699	1235	8	of	of	ADP
ap-7699	1235	9	x	x	X
ap-7699	1235	10	→	→	SYM
ap-7699	1235	11	0	0	NUM
ap-7699	1235	12	and	and	CCONJ
ap-7699	1235	13	x	x	SYM
ap-7699	1235	14	→	→	SYM
ap-7699	1235	15	∞	∞	X
ap-7699	1235	16	the	the	DET
ap-7699	1235	17	generic	generic	ADJ
ap-7699	1235	18	six	six	NUM
ap-7699	1235	19	-	-	PUNCT
ap-7699	1235	20	derivative	derivative	ADJ
ap-7699	1235	21	theories	theory	NOUN
ap-7699	1235	22	are	be	AUX
ap-7699	1235	23	badly	badly	ADV
ap-7699	1235	24	non	non	ADJ
ap-7699	1235	25	-	-	ADJ
ap-7699	1235	26	renormalizable	renormalizable	ADJ
ap-7699	1235	27	.	.	PUNCT
ap-7699	1236	1	this	this	PRON
ap-7699	1236	2	was	be	AUX
ap-7699	1236	3	the	the	DET
ap-7699	1236	4	source	source	NOUN
ap-7699	1236	5	of	of	ADP
ap-7699	1236	6	the	the	DET
ap-7699	1236	7	problem	problem	NOUN
ap-7699	1236	8	with	with	ADP
ap-7699	1236	9	attempts	attempt	NOUN
ap-7699	1236	10	to	to	PART
ap-7699	1236	11	obtain	obtain	VERB
ap-7699	1236	12	sensible	sensible	ADJ
ap-7699	1236	13	answers	answer	NOUN
ap-7699	1236	14	in	in	ADP
ap-7699	1236	15	these	these	DET
ap-7699	1236	16	two	two	NUM
ap-7699	1236	17	limits	limit	NOUN
ap-7699	1236	18	.	.	PUNCT
ap-7699	1237	1	non	non	ADJ
ap-7699	1237	2	-	-	ADJ
ap-7699	1237	3	renormalizability	renormalizability	ADJ
ap-7699	1237	4	problem	problem	NOUN
ap-7699	1237	5	must	must	AUX
ap-7699	1237	6	show	show	VERB
ap-7699	1237	7	in	in	ADP
ap-7699	1237	8	some	some	DET
ap-7699	1237	9	place	place	NOUN
ap-7699	1237	10	in	in	ADP
ap-7699	1237	11	the	the	DET
ap-7699	1237	12	middle	middle	NOUN
ap-7699	1237	13	or	or	CCONJ
ap-7699	1237	14	at	at	ADP
ap-7699	1237	15	the	the	DET
ap-7699	1237	16	end	end	NOUN
ap-7699	1237	17	of	of	ADP
ap-7699	1237	18	the	the	DET
ap-7699	1237	19	computation	computation	NOUN
ap-7699	1237	20	to	to	PART
ap-7699	1237	21	warn	warn	VERB
ap-7699	1237	22	us	we	PRON
ap-7699	1237	23	that	that	SCONJ
ap-7699	1237	24	at	at	ADP
ap-7699	1237	25	the	the	DET
ap-7699	1237	26	end	end	NOUN
ap-7699	1237	27	we	we	PRON
ap-7699	1237	28	can	can	AUX
ap-7699	1237	29	not	not	PART
ap-7699	1237	30	trust	trust	VERB
ap-7699	1237	31	in	in	ADP
ap-7699	1237	32	the	the	DET
ap-7699	1237	33	final	final	ADJ
ap-7699	1237	34	results	result	NOUN
ap-7699	1237	35	for	for	ADP
ap-7699	1237	36	the	the	DET
ap-7699	1237	37	beta	beta	NOUN
ap-7699	1237	38	functions	function	NOUN
ap-7699	1237	39	in	in	ADP
ap-7699	1237	40	these	these	DET
ap-7699	1237	41	cases	case	NOUN
ap-7699	1237	42	.	.	PUNCT
ap-7699	1238	1	in	in	ADP
ap-7699	1238	2	these	these	DET
ap-7699	1238	3	two	two	NUM
ap-7699	1238	4	cases	case	NOUN
ap-7699	1238	5	this	this	DET
ap-7699	1238	6	problem	problem	NOUN
ap-7699	1238	7	showed	show	VERB
ap-7699	1238	8	indeed	indeed	ADV
ap-7699	1238	9	in	in	ADP
ap-7699	1238	10	two	two	NUM
ap-7699	1238	11	different	different	ADJ
ap-7699	1238	12	places	place	NOUN
ap-7699	1238	13	and	and	CCONJ
ap-7699	1238	14	the	the	DET
ap-7699	1238	15	logical	logical	ADJ
ap-7699	1238	16	consequences	consequence	NOUN
ap-7699	1238	17	of	of	ADP
ap-7699	1238	18	this	this	PRON
ap-7699	1238	19	were	be	AUX
ap-7699	1238	20	strongly	strongly	ADV
ap-7699	1238	21	constraining	constrain	VERB
ap-7699	1238	22	the	the	DET
ap-7699	1238	23	possible	possible	ADJ
ap-7699	1238	24	form	form	NOUN
ap-7699	1238	25	of	of	ADP
ap-7699	1238	26	the	the	DET
ap-7699	1238	27	rational	rational	ADJ
ap-7699	1238	28	x	x	NOUN
ap-7699	1238	29	-	-	NOUN
ap-7699	1238	30	dependence	dependence	NOUN
ap-7699	1238	31	of	of	ADP
ap-7699	1238	32	these	these	DET
ap-7699	1238	33	results	result	NOUN
ap-7699	1238	34	.	.	PUNCT
ap-7699	1239	1	thanks	thank	NOUN
ap-7699	1239	2	to	to	ADP
ap-7699	1239	3	these	these	DET
ap-7699	1239	4	considerations	consideration	NOUN
ap-7699	1239	5	we	we	PRON
ap-7699	1239	6	were	be	AUX
ap-7699	1239	7	able	able	ADJ
ap-7699	1239	8	finally	finally	ADV
ap-7699	1239	9	to	to	PART
ap-7699	1239	10	understand	understand	VERB
ap-7699	1239	11	whether	whether	SCONJ
ap-7699	1239	12	the	the	DET
ap-7699	1239	13	positive	positive	ADJ
ap-7699	1239	14	or	or	CCONJ
ap-7699	1239	15	inverse	inverse	ADJ
ap-7699	1239	16	powers	power	NOUN
ap-7699	1239	17	of	of	ADP
ap-7699	1239	18	the	the	DET
ap-7699	1239	19	ratio	ratio	NOUN
ap-7699	1239	20	x	x	PUNCT
ap-7699	1239	21	must	must	AUX
ap-7699	1239	22	appear	appear	VERB
ap-7699	1239	23	in	in	ADP
ap-7699	1239	24	the	the	DET
ap-7699	1239	25	final	final	ADJ
ap-7699	1239	26	results	result	NOUN
ap-7699	1239	27	for	for	ADP
ap-7699	1239	28	beta	beta	NOUN
ap-7699	1239	29	functions	function	NOUN
ap-7699	1239	30	in	in	ADP
ap-7699	1239	31	question	question	NOUN
ap-7699	1239	32	.	.	PUNCT
ap-7699	1240	1	of	of	ADP
ap-7699	1240	2	course	course	ADV
ap-7699	1240	3	,	,	PUNCT
ap-7699	1240	4	we	we	PRON
ap-7699	1240	5	admit	admit	VERB
ap-7699	1240	6	that	that	SCONJ
ap-7699	1240	7	this	this	DET
ap-7699	1240	8	analysis	analysis	NOUN
ap-7699	1240	9	is	be	AUX
ap-7699	1240	10	a	a	DET
ap-7699	1240	11	posteriori	posteriori	NOUN
ap-7699	1240	12	since	since	SCONJ
ap-7699	1240	13	we	we	PRON
ap-7699	1240	14	first	first	ADV
ap-7699	1240	15	derived	derive	VERB
ap-7699	1240	16	the	the	DET
ap-7699	1240	17	results	result	NOUN
ap-7699	1240	18	for	for	ADP
ap-7699	1240	19	the	the	DET
ap-7699	1240	20	divergences	divergence	NOUN
ap-7699	1240	21	and	and	CCONJ
ap-7699	1240	22	only	only	ADV
ap-7699	1240	23	later	later	ADV
ap-7699	1240	24	tried	try	VERB
ap-7699	1240	25	to	to	PART
ap-7699	1240	26	understand	understand	VERB
ap-7699	1240	27	the	the	DET
ap-7699	1240	28	reasons	reason	NOUN
ap-7699	1240	29	behind	behind	ADP
ap-7699	1240	30	these	these	DET
ap-7699	1240	31	results	result	NOUN
ap-7699	1240	32	.	.	PUNCT
ap-7699	1241	1	but	but	CCONJ
ap-7699	1241	2	eventually	eventually	ADV
ap-7699	1241	3	we	we	PRON
ap-7699	1241	4	were	be	AUX
ap-7699	1241	5	able	able	ADJ
ap-7699	1241	6	to	to	PART
ap-7699	1241	7	find	find	VERB
ap-7699	1241	8	a	a	DET
ap-7699	1241	9	satisfactory	satisfactory	ADJ
ap-7699	1241	10	explanation	explanation	NOUN
ap-7699	1241	11	.	.	PUNCT
ap-7699	1242	1	and	and	CCONJ
ap-7699	1242	2	there	there	PRON
ap-7699	1242	3	are	be	VERB
ap-7699	1242	4	a	a	DET
ap-7699	1242	5	few	few	ADJ
ap-7699	1242	6	of	of	ADP
ap-7699	1242	7	additional	additional	ADJ
ap-7699	1242	8	spin	spin	NOUN
ap-7699	1242	9	-	-	PUNCT
ap-7699	1242	10	offs	off	NOUN
ap-7699	1242	11	of	of	ADP
ap-7699	1242	12	the	the	DET
ap-7699	1242	13	presented	present	VERB
ap-7699	1242	14	argumentation	argumentation	NOUN
ap-7699	1242	15	.	.	PUNCT
ap-7699	1243	1	first	first	ADV
ap-7699	1243	2	,	,	PUNCT
ap-7699	1243	3	we	we	PRON
ap-7699	1243	4	can	can	AUX
ap-7699	1243	5	make	make	VERB
ap-7699	1243	6	predictions	prediction	NOUN
ap-7699	1243	7	about	about	ADP
ap-7699	1243	8	the	the	DET
ap-7699	1243	9	structure	structure	NOUN
ap-7699	1243	10	of	of	ADP
ap-7699	1243	11	beta	beta	ADJ
ap-7699	1243	12	functions	function	NOUN
ap-7699	1243	13	in	in	ADP
ap-7699	1243	14	8	8	NUM
ap-7699	1243	15	-	-	PUNCT
ap-7699	1243	16	derivative	derivative	NOUN
ap-7699	1243	17	and	and	CCONJ
ap-7699	1243	18	also	also	ADV
ap-7699	1243	19	of	of	ADP
ap-7699	1243	20	other	other	ADJ
ap-7699	1243	21	higher	high	ADJ
ap-7699	1243	22	-	-	PUNCT
ap-7699	1243	23	derivative	derivative	ADJ
ap-7699	1243	24	gravitational	gravitational	ADJ
ap-7699	1243	25	theories	theory	NOUN
ap-7699	1243	26	with	with	ADP
ap-7699	1243	27	the	the	DET
ap-7699	1243	28	number	number	NOUN
ap-7699	1243	29	of	of	ADP
ap-7699	1243	30	derivatives	derivative	NOUN
ap-7699	1243	31	in	in	ADP
ap-7699	1243	32	the	the	DET
ap-7699	1243	33	action	action	NOUN
ap-7699	1243	34	which	which	PRON
ap-7699	1243	35	is	be	AUX
ap-7699	1243	36	bigger	big	ADJ
ap-7699	1243	37	than	than	ADP
ap-7699	1243	38	4	4	NUM
ap-7699	1243	39	and	and	CCONJ
ap-7699	1243	40	6	6	NUM
ap-7699	1243	41	(	(	PUNCT
ap-7699	1243	42	analyzed	analyze	VERB
ap-7699	1243	43	in	in	ADP
ap-7699	1243	44	this	this	DET
ap-7699	1243	45	paper	paper	NOUN
ap-7699	1243	46	)	)	PUNCT
ap-7699	1243	47	.	.	PUNCT
ap-7699	1244	1	we	we	PRON
ap-7699	1244	2	conjecture	conjecture	VERB
ap-7699	1244	3	that	that	SCONJ
ap-7699	1244	4	the	the	DET
ap-7699	1244	5	structure	structure	NOUN
ap-7699	1244	6	should	should	AUX
ap-7699	1244	7	be	be	AUX
ap-7699	1244	8	very	very	ADV
ap-7699	1244	9	similar	similar	ADJ
ap-7699	1244	10	to	to	ADP
ap-7699	1244	11	what	what	PRON
ap-7699	1244	12	we	we	PRON
ap-7699	1244	13	have	have	AUX
ap-7699	1244	14	seen	see	VERB
ap-7699	1244	15	already	already	ADV
ap-7699	1244	16	in	in	ADP
ap-7699	1244	17	the	the	DET
ap-7699	1244	18	generic	generic	ADJ
ap-7699	1244	19	case	case	NOUN
ap-7699	1244	20	with	with	ADP
ap-7699	1244	21	six	six	NUM
ap-7699	1244	22	derivatives	derivative	NOUN
ap-7699	1244	23	,	,	PUNCT
ap-7699	1244	24	so	so	SCONJ
ap-7699	1244	25	only	only	ADV
ap-7699	1244	26	positive	positive	ADJ
ap-7699	1244	27	powers	power	NOUN
ap-7699	1244	28	of	of	ADP
ap-7699	1244	29	the	the	DET
ap-7699	1244	30	corresponding	corresponding	ADJ
ap-7699	1244	31	fundamental	fundamental	ADJ
ap-7699	1244	32	ratio	ratio	NOUN
ap-7699	1244	33	x	x	PUNCT
ap-7699	1244	34	of	of	ADP
ap-7699	1244	35	the	the	DET
ap-7699	1244	36	theory	theory	NOUN
ap-7699	1244	37	,	,	PUNCT
ap-7699	1244	38	and	and	CCONJ
ap-7699	1244	39	probably	probably	ADV
ap-7699	1244	40	only	only	ADV
ap-7699	1244	41	in	in	ADP
ap-7699	1244	42	the	the	DET
ap-7699	1244	43	sector	sector	NOUN
ap-7699	1244	44	with	with	ADP
ap-7699	1244	45	c2	c2	PROPN
ap-7699	1244	46	type	type	NOUN
ap-7699	1244	47	of	of	ADP
ap-7699	1244	48	uv	uv	NOUN
ap-7699	1244	49	divergences	divergence	NOUN
ap-7699	1244	50	.	.	PUNCT
ap-7699	1245	1	another	another	DET
ap-7699	1245	2	good	good	ADJ
ap-7699	1245	3	side	side	NOUN
ap-7699	1245	4	effect	effect	NOUN
ap-7699	1245	5	is	be	AUX
ap-7699	1245	6	that	that	SCONJ
ap-7699	1245	7	we	we	PRON
ap-7699	1245	8	provide	provide	VERB
ap-7699	1245	9	first	first	ADV
ap-7699	1245	10	(	(	PUNCT
ap-7699	1245	11	to	to	ADP
ap-7699	1245	12	our	our	PRON
ap-7699	1245	13	knowledge	knowledge	NOUN
ap-7699	1245	14	)	)	PUNCT
ap-7699	1245	15	theoretical	theoretical	ADJ
ap-7699	1245	16	explanation	explanation	NOUN
ap-7699	1245	17	of	of	ADP
ap-7699	1245	18	the	the	DET
ap-7699	1245	19	structure	structure	NOUN
ap-7699	1245	20	of	of	ADP
ap-7699	1245	21	beta	beta	ADJ
ap-7699	1245	22	functions	function	NOUN
ap-7699	1245	23	as	as	SCONJ
ap-7699	1245	24	seen	see	VERB
ap-7699	1245	25	in	in	ADP
ap-7699	1245	26	four	four	NUM
ap-7699	1245	27	-	-	PUNCT
ap-7699	1245	28	derivative	derivative	NOUN
ap-7699	1245	29	case	case	NOUN
ap-7699	1245	30	of	of	ADP
ap-7699	1245	31	stelle	stelle	PROPN
ap-7699	1245	32	theory	theory	NOUN
ap-7699	1245	33	in	in	ADP
ap-7699	1245	34	d	d	PROPN
ap-7699	1245	35	=	=	SYM
ap-7699	1245	36	4	4	NUM
ap-7699	1245	37	spacetime	spacetime	NOUN
ap-7699	1245	38	dimensions	dimension	NOUN
ap-7699	1245	39	.	.	PUNCT
ap-7699	1246	1	it	it	PRON
ap-7699	1246	2	is	be	AUX
ap-7699	1246	3	not	not	PART
ap-7699	1246	4	only	only	ADV
ap-7699	1246	5	that	that	SCONJ
ap-7699	1246	6	the	the	DET
ap-7699	1246	7	theory	theory	NOUN
ap-7699	1246	8	with	with	ADP
ap-7699	1246	9	c2	c2	PROPN
ap-7699	1246	10	action	action	NOUN
ap-7699	1246	11	is	be	AUX
ap-7699	1246	12	exceptional	exceptional	ADJ
ap-7699	1246	13	in	in	ADP
ap-7699	1246	14	d	d	PROPN
ap-7699	1246	15	=	=	SYM
ap-7699	1246	16	4	4	NUM
ap-7699	1246	17	dimensions	dimension	NOUN
ap-7699	1246	18	;	;	PUNCT
ap-7699	1246	19	we	we	PRON
ap-7699	1246	20	also	also	ADV
ap-7699	1246	21	“	"	PUNCT
ap-7699	1246	22	explained	explain	VERB
ap-7699	1246	23	”	"	PUNCT
ap-7699	1246	24	these	these	DET
ap-7699	1246	25	differences	difference	NOUN
ap-7699	1246	26	based	base	VERB
ap-7699	1246	27	on	on	ADP
ap-7699	1246	28	an	an	DET
ap-7699	1246	29	extension	extension	NOUN
ap-7699	1246	30	of	of	ADP
ap-7699	1246	31	the	the	DET
ap-7699	1246	32	theory	theory	NOUN
ap-7699	1246	33	to	to	PART
ap-7699	1246	34	include	include	VERB
ap-7699	1246	35	higher	high	ADJ
ap-7699	1246	36	-	-	PUNCT
ap-7699	1246	37	derivative	derivative	ADJ
ap-7699	1246	38	terms	term	NOUN
ap-7699	1246	39	like	like	ADP
ap-7699	1246	40	with	with	ADP
ap-7699	1246	41	6	6	NUM
ap-7699	1246	42	-	-	PUNCT
ap-7699	1246	43	derivative	derivative	NOUN
ap-7699	1246	44	and	and	CCONJ
ap-7699	1246	45	quantify	quantify	ADJ
ap-7699	1246	46	to	to	PART
ap-7699	1246	47	which	which	DET
ap-7699	1246	48	level	level	VERB
ap-7699	1246	49	the	the	DET
ap-7699	1246	50	theory	theory	NOUN
ap-7699	1246	51	with	with	ADP
ap-7699	1246	52	c2	c2	PROPN
ap-7699	1246	53	action	action	NOUN
ap-7699	1246	54	is	be	AUX
ap-7699	1246	55	special	special	ADJ
ap-7699	1246	56	and	and	CCONJ
ap-7699	1246	57	how	how	SCONJ
ap-7699	1246	58	this	this	PRON
ap-7699	1246	59	reflects	reflect	VERB
ap-7699	1246	60	on	on	ADP
ap-7699	1246	61	the	the	DET
ap-7699	1246	62	structure	structure	NOUN
ap-7699	1246	63	of	of	ADP
ap-7699	1246	64	its	its	PRON
ap-7699	1246	65	one	one	NUM
ap-7699	1246	66	-	-	PUNCT
ap-7699	1246	67	loop	loop	NOUN
ap-7699	1246	68	beta	beta	NOUN
ap-7699	1246	69	functions	function	NOUN
ap-7699	1246	70	.	.	PUNCT
ap-7699	1247	1	we	we	PRON
ap-7699	1247	2	remark	remark	VERB
ap-7699	1247	3	that	that	SCONJ
ap-7699	1247	4	in	in	ADP
ap-7699	1247	5	stelle	stelle	PROPN
ap-7699	1247	6	gravity	gravity	NOUN
ap-7699	1247	7	(	(	PUNCT
ap-7699	1247	8	or	or	CCONJ
ap-7699	1247	9	even	even	ADV
ap-7699	1247	10	in	in	ADP
ap-7699	1247	11	its	its	PRON
ap-7699	1247	12	subcase	subcase	NOUN
ap-7699	1247	13	model	model	NOUN
ap-7699	1247	14	with	with	ADP
ap-7699	1247	15	conformal	conformal	ADJ
ap-7699	1247	16	symmetry	symmetry	NOUN
ap-7699	1247	17	based	base	VERB
ap-7699	1247	18	on	on	ADP
ap-7699	1247	19	the	the	DET
ap-7699	1247	20	c2	c2	PROPN
ap-7699	1247	21	action	action	NOUN
ap-7699	1247	22	)	)	PUNCT
ap-7699	1247	23	,	,	PUNCT
ap-7699	1247	24	there	there	PRON
ap-7699	1247	25	are	be	VERB
ap-7699	1247	26	contributions	contribution	NOUN
ap-7699	1247	27	to	to	ADP
ap-7699	1247	28	beta	beta	NOUN
ap-7699	1247	29	functions	function	NOUN
ap-7699	1247	30	originating	originate	VERB
ap-7699	1247	31	from	from	ADP
ap-7699	1247	32	higher	high	ADJ
ap-7699	1247	33	perturbative	perturbative	ADJ
ap-7699	1247	34	loops	loop	NOUN
ap-7699	1247	35	since	since	SCONJ
ap-7699	1247	36	the	the	DET
ap-7699	1247	37	super	super	ADJ
ap-7699	1247	38	-	-	ADJ
ap-7699	1247	39	renormalizability	renormalizability	ADJ
ap-7699	1247	40	argument	argument	NOUN
ap-7699	1247	41	based	base	VERB
ap-7699	1247	42	on	on	ADP
ap-7699	1247	43	power	power	NOUN
ap-7699	1247	44	counting	counting	NOUN
ap-7699	1247	45	analysis	analysis	NOUN
ap-7699	1247	46	does	do	AUX
ap-7699	1247	47	not	not	PART
ap-7699	1247	48	apply	apply	VERB
ap-7699	1247	49	here	here	ADV
ap-7699	1247	50	.	.	PUNCT
ap-7699	1248	1	our	our	PRON
ap-7699	1248	2	partial	partial	ADJ
ap-7699	1248	3	explanation	explanation	NOUN
ap-7699	1248	4	of	of	ADP
ap-7699	1248	5	the	the	DET
ap-7699	1248	6	structure	structure	NOUN
ap-7699	1248	7	of	of	ADP
ap-7699	1248	8	the	the	DET
ap-7699	1248	9	one	one	NUM
ap-7699	1248	10	-	-	PUNCT
ap-7699	1248	11	loop	loop	NOUN
ap-7699	1248	12	beta	beta	NOUN
ap-7699	1248	13	functions	function	NOUN
ap-7699	1248	14	in	in	ADP
ap-7699	1248	15	stelle	stelle	PROPN
ap-7699	1248	16	theory	theory	NOUN
ap-7699	1248	17	in	in	ADP
ap-7699	1248	18	d	d	PROPN
ap-7699	1248	19	=	=	SYM
ap-7699	1248	20	4	4	NUM
ap-7699	1248	21	uses	use	VERB
ap-7699	1248	22	a	a	DET
ap-7699	1248	23	general	general	ADJ
ap-7699	1248	24	philosophy	philosophy	NOUN
ap-7699	1248	25	that	that	PRON
ap-7699	1248	26	to	to	PART
ap-7699	1248	27	“	"	PUNCT
ap-7699	1248	28	explain	explain	VERB
ap-7699	1248	29	”	"	PUNCT
ap-7699	1248	30	some	some	DET
ap-7699	1248	31	numerical	numerical	ADJ
ap-7699	1248	32	results	result	NOUN
ap-7699	1248	33	in	in	ADP
ap-7699	1248	34	theoretical	theoretical	ADJ
ap-7699	1248	35	physics	physics	NOUN
ap-7699	1248	36	,	,	PUNCT
ap-7699	1248	37	one	one	NOUN
ap-7699	1248	38	perhaps	perhaps	ADV
ap-7699	1248	39	has	have	VERB
ap-7699	1248	40	to	to	PART
ap-7699	1248	41	generalize	generalize	VERB
ap-7699	1248	42	the	the	DET
ap-7699	1248	43	original	original	ADJ
ap-7699	1248	44	setup	setup	NOUN
ap-7699	1248	45	and	and	CCONJ
ap-7699	1248	46	in	in	ADP
ap-7699	1248	47	this	this	DET
ap-7699	1248	48	new	new	ADJ
ap-7699	1248	49	extended	extended	ADJ
ap-7699	1248	50	framework	framework	NOUN
ap-7699	1248	51	looks	look	VERB
ap-7699	1248	52	for	for	ADP
ap-7699	1248	53	simplifying	simplify	VERB
ap-7699	1248	54	principles	principle	NOUN
ap-7699	1248	55	,	,	PUNCT
ap-7699	1248	56	which	which	PRON
ap-7699	1248	57	by	by	ADP
ap-7699	1248	58	reduction	reduction	NOUN
ap-7699	1248	59	to	to	ADP
ap-7699	1248	60	some	some	DET
ap-7699	1248	61	special	special	ADJ
ap-7699	1248	62	cases	case	NOUN
ap-7699	1248	63	show	show	VERB
ap-7699	1248	64	explicitly	explicitly	ADV
ap-7699	1248	65	how	how	SCONJ
ap-7699	1248	66	special	special	ADJ
ap-7699	1248	67	are	be	AUX
ap-7699	1248	68	these	these	DET
ap-7699	1248	69	cases	case	NOUN
ap-7699	1248	70	not	not	PART
ap-7699	1248	71	only	only	ADV
ap-7699	1248	72	qualitatively	qualitatively	ADV
ap-7699	1248	73	but	but	CCONJ
ap-7699	1248	74	also	also	ADV
ap-7699	1248	75	quantitatively	quantitatively	ADV
ap-7699	1248	76	and	and	CCONJ
ap-7699	1248	77	what	what	PRON
ap-7699	1248	78	this	this	DET
ap-7699	1248	79	reduction	reduction	NOUN
ap-7699	1248	80	procedure	procedure	NOUN
ap-7699	1248	81	implies	imply	VERB
ap-7699	1248	82	on	on	ADP
ap-7699	1248	83	the	the	DET
ap-7699	1248	84	numbers	number	NOUN
ap-7699	1248	85	one	one	PRON
ap-7699	1248	86	gets	get	VERB
ap-7699	1248	87	as	as	ADP
ap-7699	1248	88	the	the	DET
ap-7699	1248	89	results	result	NOUN
ap-7699	1248	90	of	of	ADP
ap-7699	1248	91	the	the	DET
ap-7699	1248	92	reduction	reduction	NOUN
ap-7699	1248	93	.	.	PUNCT
ap-7699	1249	1	for	for	ADP
ap-7699	1249	2	example	example	NOUN
ap-7699	1249	3	,	,	PUNCT
ap-7699	1249	4	one	one	PRON
ap-7699	1249	5	typically	typically	ADV
ap-7699	1249	6	extend	extend	VERB
ap-7699	1249	7	the	the	DET
ap-7699	1249	8	original	original	ADJ
ap-7699	1249	9	framework	framework	NOUN
ap-7699	1249	10	from	from	ADP
ap-7699	1249	11	d	d	PROPN
ap-7699	1249	12	=	=	SYM
ap-7699	1249	13	4	4	NUM
ap-7699	1249	14	spacetime	spacetime	NOUN
ap-7699	1249	15	dimension	dimension	NOUN
ap-7699	1249	16	fixed	fix	VERB
ap-7699	1249	17	condition	condition	NOUN
ap-7699	1249	18	to	to	ADP
ap-7699	1249	19	more	more	ADV
ap-7699	1249	20	general	general	ADJ
ap-7699	1249	21	situation	situation	NOUN
ap-7699	1249	22	with	with	ADP
ap-7699	1249	23	arbitrary	arbitrary	ADJ
ap-7699	1249	24	d	d	NOUN
ap-7699	1249	25	and	and	CCONJ
ap-7699	1249	26	then	then	ADV
ap-7699	1249	27	draw	draw	VERB
ap-7699	1249	28	the	the	DET
ap-7699	1249	29	general	general	ADJ
ap-7699	1249	30	conclusion	conclusion	NOUN
ap-7699	1249	31	as	as	ADP
ap-7699	1249	32	a	a	DET
ap-7699	1249	33	function	function	NOUN
ap-7699	1249	34	of	of	ADP
ap-7699	1249	35	d	d	PROPN
ap-7699	1249	36	based	base	VERB
ap-7699	1249	37	on	on	ADP
ap-7699	1249	38	some	some	DET
ap-7699	1249	39	general	general	ADJ
ap-7699	1249	40	simple	simple	ADJ
ap-7699	1249	41	principles	principle	NOUN
ap-7699	1249	42	.	.	PUNCT
ap-7699	1250	1	then	then	ADV
ap-7699	1250	2	finally	finally	ADV
ap-7699	1250	3	,	,	PUNCT
ap-7699	1250	4	the	the	DET
ap-7699	1250	5	case	case	NOUN
ap-7699	1250	6	of	of	ADP
ap-7699	1250	7	d	d	NOUN
ap-7699	1250	8	=	=	SYM
ap-7699	1250	9	4	4	NUM
ap-7699	1250	10	is	be	AUX
ap-7699	1250	11	recovered	recover	VERB
ap-7699	1250	12	as	as	ADP
ap-7699	1250	13	a	a	DET
ap-7699	1250	14	particular	particular	ADJ
ap-7699	1250	15	value	value	NOUN
ap-7699	1250	16	one	one	PRON
ap-7699	1250	17	gets	get	VERB
ap-7699	1250	18	when	when	SCONJ
ap-7699	1250	19	the	the	DET
ap-7699	1250	20	function	function	NOUN
ap-7699	1250	21	is	be	AUX
ap-7699	1250	22	evaluated	evaluate	VERB
ap-7699	1250	23	for	for	ADP
ap-7699	1250	24	d	d	PROPN
ap-7699	1250	25	=	=	SYM
ap-7699	1250	26	4	4	NUM
ap-7699	1250	27	.	.	PUNCT
ap-7699	1251	1	and	and	CCONJ
ap-7699	1251	2	this	this	PRON
ap-7699	1251	3	should	should	AUX
ap-7699	1251	4	explain	explain	VERB
ap-7699	1251	5	its	its	PRON
ap-7699	1251	6	speciality	speciality	NOUN
ap-7699	1251	7	.	.	PUNCT
ap-7699	1252	1	in	in	ADP
ap-7699	1252	2	our	our	PRON
ap-7699	1252	3	case	case	NOUN
ap-7699	1252	4	,	,	PUNCT
ap-7699	1252	5	we	we	PRON
ap-7699	1252	6	extended	extend	VERB
ap-7699	1252	7	the	the	DET
ap-7699	1252	8	four	four	NUM
ap-7699	1252	9	-	-	PUNCT
ap-7699	1252	10	derivative	derivative	ADJ
ap-7699	1252	11	theory	theory	NOUN
ap-7699	1252	12	by	by	ADP
ap-7699	1252	13	adding	add	VERB
ap-7699	1252	14	terms	term	NOUN
ap-7699	1252	15	with	with	ADP
ap-7699	1252	16	six	six	NUM
ap-7699	1252	17	derivatives	derivative	NOUN
ap-7699	1252	18	and	and	CCONJ
ap-7699	1252	19	in	in	ADP
ap-7699	1252	20	this	this	DET
ap-7699	1252	21	way	way	NOUN
ap-7699	1252	22	we	we	PRON
ap-7699	1252	23	were	be	AUX
ap-7699	1252	24	able	able	ADJ
ap-7699	1252	25	to	to	PART
ap-7699	1252	26	study	study	VERB
ap-7699	1252	27	a	a	DET
ap-7699	1252	28	more	more	ADV
ap-7699	1252	29	generic	generic	ADJ
ap-7699	1252	30	situation	situation	NOUN
ap-7699	1252	31	.	.	PUNCT
ap-7699	1253	1	this	this	PRON
ap-7699	1253	2	was	be	AUX
ap-7699	1253	3	in	in	ADP
ap-7699	1253	4	order	order	NOUN
ap-7699	1253	5	to	to	PART
ap-7699	1253	6	understand	understand	VERB
ap-7699	1253	7	and	and	CCONJ
ap-7699	1253	8	explain	explain	VERB
ap-7699	1253	9	the	the	DET
ap-7699	1253	10	structure	structure	NOUN
ap-7699	1253	11	of	of	ADP
ap-7699	1253	12	divergences	divergence	NOUN
ap-7699	1253	13	in	in	ADP
ap-7699	1253	14	the	the	DET
ap-7699	1253	15	special	special	ADJ
ap-7699	1253	16	reduced	reduce	VERB
ap-7699	1253	17	case	case	NOUN
ap-7699	1253	18	of	of	ADP
ap-7699	1253	19	conformal	conformal	ADJ
ap-7699	1253	20	gravity	gravity	NOUN
ap-7699	1253	21	in	in	ADP
ap-7699	1253	22	d	d	PROPN
ap-7699	1253	23	=	=	SYM
ap-7699	1253	24	4	4	NUM
ap-7699	1253	25	and	and	CCONJ
ap-7699	1253	26	of	of	ADP
ap-7699	1253	27	still	still	ADV
ap-7699	1253	28	generic	generic	ADJ
ap-7699	1253	29	four	four	NUM
ap-7699	1253	30	-	-	PUNCT
ap-7699	1253	31	dimensional	dimensional	ADJ
ap-7699	1253	32	stelle	stelle	NOUN
ap-7699	1253	33	theory	theory	NOUN
ap-7699	1253	34	.	.	PUNCT
ap-7699	1254	1	we	we	PRON
ap-7699	1254	2	think	think	VERB
ap-7699	1254	3	that	that	SCONJ
ap-7699	1254	4	this	this	PRON
ap-7699	1254	5	is	be	AUX
ap-7699	1254	6	a	a	DET
ap-7699	1254	7	good	good	ADJ
ap-7699	1254	8	theoretical	theoretical	ADJ
ap-7699	1254	9	explanation	explanation	NOUN
ap-7699	1254	10	which	which	PRON
ap-7699	1254	11	sheds	shed	VERB
ap-7699	1254	12	some	some	DET
ap-7699	1254	13	light	light	NOUN
ap-7699	1254	14	on	on	ADP
ap-7699	1254	15	the	the	DET
ap-7699	1254	16	so	so	ADV
ap-7699	1254	17	far	far	ADV
ap-7699	1254	18	mysterious	mysterious	ADJ
ap-7699	1254	19	issue	issue	NOUN
ap-7699	1254	20	of	of	ADP
ap-7699	1254	21	the	the	DET
ap-7699	1254	22	structure	structure	NOUN
ap-7699	1254	23	of	of	ADP
ap-7699	1254	24	beta	beta	NOUN
ap-7699	1254	25	functions	function	NOUN
ap-7699	1254	26	.	.	PUNCT
ap-7699	1255	1	one	one	PRON
ap-7699	1255	2	can	can	AUX
ap-7699	1255	3	also	also	ADV
ap-7699	1255	4	see	see	VERB
ap-7699	1255	5	this	this	PRON
ap-7699	1255	6	as	as	ADP
ap-7699	1255	7	another	another	DET
ap-7699	1255	8	advantage	advantage	NOUN
ap-7699	1255	9	of	of	ADP
ap-7699	1255	10	why	why	SCONJ
ap-7699	1255	11	it	it	PRON
ap-7699	1255	12	is	be	AUX
ap-7699	1255	13	worth	worth	ADJ
ap-7699	1255	14	to	to	PART
ap-7699	1255	15	study	study	VERB
ap-7699	1255	16	generalizations	generalization	NOUN
ap-7699	1255	17	of	of	ADP
ap-7699	1255	18	higher	high	ADJ
ap-7699	1255	19	-	-	PUNCT
ap-7699	1255	20	derivative	derivative	ADJ
ap-7699	1255	21	gravitational	gravitational	ADJ
ap-7699	1255	22	actions	action	NOUN
ap-7699	1255	23	to	to	PART
ap-7699	1255	24	include	include	VERB
ap-7699	1255	25	terms	term	NOUN
ap-7699	1255	26	with	with	ADP
ap-7699	1255	27	even	even	ADV
ap-7699	1255	28	more	more	ADV
ap-7699	1255	29	higher	high	ADJ
ap-7699	1255	30	number	number	NOUN
ap-7699	1255	31	of	of	ADP
ap-7699	1255	32	derivatives	derivative	NOUN
ap-7699	1255	33	,	,	PUNCT
ap-7699	1255	34	like	like	ADP
ap-7699	1255	35	6	6	NUM
ap-7699	1255	36	-	-	NUM
ap-7699	1255	37	derivative	derivative	ADJ
ap-7699	1255	38	,	,	PUNCT
ap-7699	1255	39	8	8	NUM
ap-7699	1255	40	-	-	PUNCT
ap-7699	1255	41	derivative	derivative	ADJ
ap-7699	1255	42	actions	action	NOUN
ap-7699	1255	43	,	,	PUNCT
ap-7699	1255	44	etc	etc	X
ap-7699	1255	45	.	.	X
ap-7699	1255	46	finally	finally	ADV
ap-7699	1255	47	,	,	PUNCT
ap-7699	1255	48	here	here	ADV
ap-7699	1255	49	we	we	PRON
ap-7699	1255	50	can	can	AUX
ap-7699	1255	51	comment	comment	VERB
ap-7699	1255	52	on	on	ADP
ap-7699	1255	53	the	the	DET
ap-7699	1255	54	issue	issue	NOUN
ap-7699	1255	55	of	of	ADP
ap-7699	1255	56	experimental	experimental	ADJ
ap-7699	1255	57	bounds	bound	NOUN
ap-7699	1255	58	on	on	ADP
ap-7699	1255	59	the	the	DET
ap-7699	1255	60	values	value	NOUN
ap-7699	1255	61	of	of	ADP
ap-7699	1255	62	the	the	DET
ap-7699	1255	63	ratio	ratio	NOUN
ap-7699	1255	64	x.	x.	NOUN
ap-7699	1255	65	since	since	SCONJ
ap-7699	1255	66	it	it	PRON
ap-7699	1255	67	appears	appear	VERB
ap-7699	1255	68	in	in	ADP
ap-7699	1255	69	six	six	NUM
ap-7699	1255	70	-	-	PUNCT
ap-7699	1255	71	derivative	derivative	ADJ
ap-7699	1255	72	gravitational	gravitational	ADJ
ap-7699	1255	73	theory	theory	NOUN
ap-7699	1255	74	the	the	DET
ap-7699	1255	75	constraints	constraint	NOUN
ap-7699	1255	76	on	on	ADP
ap-7699	1255	77	its	its	PRON
ap-7699	1255	78	possible	possible	ADJ
ap-7699	1255	79	values	value	NOUN
ap-7699	1255	80	are	be	AUX
ap-7699	1255	81	very	very	ADV
ap-7699	1255	82	weak	weak	ADJ
ap-7699	1255	83	.	.	PUNCT
ap-7699	1256	1	slightly	slightly	ADV
ap-7699	1256	2	stronger	strong	ADJ
ap-7699	1256	3	constraints	constraint	NOUN
ap-7699	1256	4	apply	apply	VERB
ap-7699	1256	5	now	now	ADV
ap-7699	1256	6	for	for	ADP
ap-7699	1256	7	the	the	DET
ap-7699	1256	8	corresponding	corresponding	ADJ
ap-7699	1256	9	value	value	NOUN
ap-7699	1256	10	of	of	ADP
ap-7699	1256	11	the	the	DET
ap-7699	1256	12	ratio	ratio	NOUN
ap-7699	1256	13	in	in	ADP
ap-7699	1256	14	four	four	NUM
ap-7699	1256	15	-	-	PUNCT
ap-7699	1256	16	derivative	derivative	ADJ
ap-7699	1256	17	stelle	stelle	NOUN
ap-7699	1256	18	gravitational	gravitational	ADJ
ap-7699	1256	19	theory	theory	NOUN
ap-7699	1256	20	in	in	ADP
ap-7699	1256	21	d	d	PROPN
ap-7699	1256	22	=	=	SYM
ap-7699	1256	23	4	4	NUM
ap-7699	1256	24	case	case	NOUN
ap-7699	1256	25	.	.	PUNCT
ap-7699	1257	1	since	since	SCONJ
ap-7699	1257	2	the	the	DET
ap-7699	1257	3	main	main	ADJ
ap-7699	1257	4	reason	reason	NOUN
ap-7699	1257	5	for	for	ADP
ap-7699	1257	6	higherderivative	higherderivative	ADJ
ap-7699	1257	7	modifications	modification	NOUN
ap-7699	1257	8	of	of	ADP
ap-7699	1257	9	gravity	gravity	NOUN
ap-7699	1257	10	comes	come	VERB
ap-7699	1257	11	because	because	SCONJ
ap-7699	1257	12	of	of	ADP
ap-7699	1257	13	consistency	consistency	NOUN
ap-7699	1257	14	of	of	ADP
ap-7699	1257	15	the	the	DET
ap-7699	1257	16	coupled	couple	VERB
ap-7699	1257	17	quantum	quantum	NOUN
ap-7699	1257	18	theory	theory	NOUN
ap-7699	1257	19	,	,	PUNCT
ap-7699	1257	20	then	then	ADV
ap-7699	1257	21	one	one	PRON
ap-7699	1257	22	would	would	AUX
ap-7699	1257	23	expect	expect	VERB
ap-7699	1257	24	that	that	SCONJ
ap-7699	1257	25	the	the	DET
ap-7699	1257	26	stringent	stringent	ADJ
ap-7699	1257	27	bounds	bound	NOUN
ap-7699	1257	28	would	would	AUX
ap-7699	1257	29	come	come	VERB
ap-7699	1257	30	from	from	ADP
ap-7699	1257	31	experimental	experimental	ADJ
ap-7699	1257	32	measurement	measurement	NOUN
ap-7699	1257	33	in	in	ADP
ap-7699	1257	34	the	the	DET
ap-7699	1257	35	real	real	ADJ
ap-7699	1257	36	domain	domain	NOUN
ap-7699	1257	37	of	of	ADP
ap-7699	1257	38	true	true	ADJ
ap-7699	1257	39	quantum	quantum	NOUN
ap-7699	1257	40	gravity	gravity	NOUN
ap-7699	1257	41	.	.	PUNCT
ap-7699	1258	1	of	of	ADP
ap-7699	1258	2	course	course	NOUN
ap-7699	1258	3	,	,	PUNCT
ap-7699	1258	4	right	right	ADV
ap-7699	1258	5	now	now	ADV
ap-7699	1258	6	this	this	PRON
ap-7699	1258	7	is	be	AUX
ap-7699	1258	8	very	very	ADV
ap-7699	1258	9	,	,	PUNCT
ap-7699	1258	10	very	very	ADV
ap-7699	1258	11	far	far	ADV
ap-7699	1258	12	,	,	PUNCT
ap-7699	1258	13	if	if	SCONJ
ap-7699	1258	14	possible	possible	ADJ
ap-7699	1258	15	at	at	ADV
ap-7699	1258	16	all	all	ADV
ap-7699	1258	17	,	,	PUNCT
ap-7699	1258	18	future	future	ADJ
ap-7699	1258	19	for	for	ADP
ap-7699	1258	20	experimental	experimental	ADJ
ap-7699	1258	21	gravitational	gravitational	ADJ
ap-7699	1258	22	physics	physic	NOUN
ap-7699	1258	23	.	.	PUNCT
ap-7699	1259	1	this	this	PRON
ap-7699	1259	2	is	be	AUX
ap-7699	1259	3	all	all	PRON
ap-7699	1259	4	due	due	ADJ
ap-7699	1259	5	to	to	ADP
ap-7699	1259	6	smallness	smallness	NOUN
ap-7699	1259	7	of	of	ADP
ap-7699	1259	8	gravitational	gravitational	ADJ
ap-7699	1259	9	couplings	coupling	NOUN
ap-7699	1259	10	characterized	characterize	VERB
ap-7699	1259	11	by	by	ADP
ap-7699	1259	12	gn	gn	PROPN
ap-7699	1259	13	proportional	proportional	NOUN
ap-7699	1259	14	inversely	inversely	ADV
ap-7699	1259	15	to	to	ADP
ap-7699	1259	16	the	the	DET
ap-7699	1259	17	planck	planck	NOUN
ap-7699	1259	18	mass	mass	PROPN
ap-7699	1259	19	mp	mp	PROPN
ap-7699	1259	20	∼	∼	NOUN
ap-7699	1259	21	1019	1019	NUM
ap-7699	1259	22	gev	gev	NOUN
ap-7699	1259	23	.	.	PROPN
ap-7699	1259	24	and	and	CCONJ
ap-7699	1259	25	in	in	ADP
ap-7699	1259	26	the	the	DET
ap-7699	1259	27	quantum	quantum	ADJ
ap-7699	1259	28	domain	domain	NOUN
ap-7699	1259	29	of	of	ADP
ap-7699	1259	30	elementary	elementary	ADJ
ap-7699	1259	31	particle	particle	NOUN
ap-7699	1259	32	physics	physics	PROPN
ap-7699	1259	33	this	this	DET
ap-7699	1259	34	scale	scale	NOUN
ap-7699	1259	35	is	be	AUX
ap-7699	1259	36	bigger	big	ADJ
ap-7699	1259	37	than	than	ADP
ap-7699	1259	38	any	any	DET
ap-7699	1259	39	energy	energy	NOUN
ap-7699	1259	40	scale	scale	NOUN
ap-7699	1259	41	of	of	ADP
ap-7699	1259	42	interactions	interaction	NOUN
ap-7699	1259	43	between	between	ADP
ap-7699	1259	44	elementary	elementary	PROPN
ap-7699	1259	45	quanta	quanta	PROPN
ap-7699	1259	46	of	of	ADP
ap-7699	1259	47	matter	matter	NOUN
ap-7699	1259	48	.	.	PUNCT
ap-7699	1260	1	this	this	PRON
ap-7699	1260	2	implies	imply	VERB
ap-7699	1260	3	that	that	SCONJ
ap-7699	1260	4	also	also	ADV
ap-7699	1260	5	quantum	quantum	ADJ
ap-7699	1260	6	gravitational	gravitational	ADJ
ap-7699	1260	7	interactions	interaction	NOUN
ap-7699	1260	8	are	be	AUX
ap-7699	1260	9	very	very	ADV
ap-7699	1260	10	weak	weak	ADJ
ap-7699	1260	11	in	in	ADP
ap-7699	1260	12	strength	strength	NOUN
ap-7699	1260	13	.	.	PUNCT
ap-7699	1261	1	hence	hence	ADV
ap-7699	1261	2	the	the	DET
ap-7699	1261	3	only	only	ADJ
ap-7699	1261	4	experimental	experimental	ADJ
ap-7699	1261	5	/	/	SYM
ap-7699	1261	6	observational	observational	ADJ
ap-7699	1261	7	bounds	bound	NOUN
ap-7699	1261	8	we	we	PRON
ap-7699	1261	9	have	have	VERB
ap-7699	1261	10	on	on	ADP
ap-7699	1261	11	the	the	DET
ap-7699	1261	12	coefficients	coefficient	NOUN
ap-7699	1261	13	in	in	ADP
ap-7699	1261	14	front	front	NOUN
ap-7699	1261	15	of	of	ADP
ap-7699	1261	16	higher	high	ADJ
ap-7699	1261	17	-	-	PUNCT
ap-7699	1261	18	derivative	derivative	ADJ
ap-7699	1261	19	terms	term	NOUN
ap-7699	1261	20	come	come	VERB
ap-7699	1261	21	from	from	ADP
ap-7699	1261	22	the	the	DET
ap-7699	1261	23	classi152	classi152	PROPN
ap-7699	1261	24	vol	vol	NOUN
ap-7699	1261	25	.	.	PROPN
ap-7699	1262	1	62	62	NUM
ap-7699	1262	2	no	no	INTJ
ap-7699	1262	3	.	.	PUNCT
ap-7699	1263	1	1/2022	1/2022	NUM
ap-7699	1263	2	beta	beta	NOUN
ap-7699	1263	3	functions	function	NOUN
ap-7699	1263	4	in	in	ADP
ap-7699	1263	5	six	six	NUM
ap-7699	1263	6	-	-	PUNCT
ap-7699	1263	7	derivative	derivative	ADJ
ap-7699	1263	8	quantum	quantum	NOUN
ap-7699	1263	9	gravity	gravity	NOUN
ap-7699	1263	10	cal	cal	ADJ
ap-7699	1263	11	/	/	SYM
ap-7699	1263	12	astrophysical	astrophysical	ADJ
ap-7699	1263	13	domain	domain	NOUN
ap-7699	1263	14	of	of	ADP
ap-7699	1263	15	gravitational	gravitational	ADJ
ap-7699	1263	16	physics	physics	NOUN
ap-7699	1263	17	and	and	CCONJ
ap-7699	1263	18	they	they	PRON
ap-7699	1263	19	are	be	AUX
ap-7699	1263	20	still	still	ADV
ap-7699	1263	21	very	very	ADV
ap-7699	1263	22	weak	weak	ADJ
ap-7699	1263	23	.	.	PUNCT
ap-7699	1264	1	to	to	PART
ap-7699	1264	2	probe	probe	VERB
ap-7699	1264	3	the	the	DET
ap-7699	1264	4	values	value	NOUN
ap-7699	1264	5	of	of	ADP
ap-7699	1264	6	the	the	DET
ap-7699	1264	7	coefficients	coefficient	NOUN
ap-7699	1264	8	in	in	ADP
ap-7699	1264	9	front	front	NOUN
ap-7699	1264	10	of	of	ADP
ap-7699	1264	11	six	six	NUM
ap-7699	1264	12	-	-	PUNCT
ap-7699	1264	13	derivative	derivative	ADJ
ap-7699	1264	14	terms	term	NOUN
ap-7699	1264	15	,	,	PUNCT
ap-7699	1264	16	one	one	PRON
ap-7699	1264	17	would	would	AUX
ap-7699	1264	18	have	have	VERB
ap-7699	1264	19	to	to	PART
ap-7699	1264	20	really	really	ADV
ap-7699	1264	21	perform	perform	VERB
ap-7699	1264	22	a	a	DET
ap-7699	1264	23	gravitational	gravitational	ADJ
ap-7699	1264	24	experiment	experiment	NOUN
ap-7699	1264	25	to	to	ADP
ap-7699	1264	26	the	the	DET
ap-7699	1264	27	increased	increase	VERB
ap-7699	1264	28	level	level	NOUN
ap-7699	1264	29	of	of	ADP
ap-7699	1264	30	accuracy	accuracy	NOUN
ap-7699	1264	31	between	between	ADP
ap-7699	1264	32	elementary	elementary	ADJ
ap-7699	1264	33	particles	particle	NOUN
ap-7699	1264	34	in	in	ADP
ap-7699	1264	35	the	the	DET
ap-7699	1264	36	full	full	ADJ
ap-7699	1264	37	quantum	quantum	ADJ
ap-7699	1264	38	domain	domain	NOUN
ap-7699	1264	39	,	,	PUNCT
ap-7699	1264	40	which	which	PRON
ap-7699	1264	41	is	be	AUX
ap-7699	1264	42	now	now	ADV
ap-7699	1264	43	completely	completely	ADV
ap-7699	1264	44	unfeasible	unfeasible	ADJ
ap-7699	1264	45	.	.	PUNCT
ap-7699	1265	1	hence	hence	ADV
ap-7699	1265	2	,	,	PUNCT
ap-7699	1265	3	we	we	PRON
ap-7699	1265	4	have	have	VERB
ap-7699	1265	5	to	to	PART
ap-7699	1265	6	be	be	AUX
ap-7699	1265	7	satisfied	satisfied	ADJ
ap-7699	1265	8	with	with	ADP
ap-7699	1265	9	already	already	ADV
ap-7699	1265	10	existing	exist	VERB
ap-7699	1265	11	very	very	ADV
ap-7699	1265	12	weak	weak	ADJ
ap-7699	1265	13	bounds	bound	NOUN
ap-7699	1265	14	,	,	PUNCT
ap-7699	1265	15	but	but	CCONJ
ap-7699	1265	16	this	this	PRON
ap-7699	1265	17	lets	let	VERB
ap-7699	1265	18	us	we	PRON
ap-7699	1265	19	to	to	PART
ap-7699	1265	20	freely	freely	ADV
ap-7699	1265	21	consider	consider	VERB
ap-7699	1265	22	theoretical	theoretical	ADJ
ap-7699	1265	23	generic	generic	ADJ
ap-7699	1265	24	situation	situation	NOUN
ap-7699	1265	25	with	with	ADP
ap-7699	1265	26	arbitrary	arbitrary	ADJ
ap-7699	1265	27	values	value	NOUN
ap-7699	1265	28	of	of	ADP
ap-7699	1265	29	the	the	DET
ap-7699	1265	30	ratio	ratio	NOUN
ap-7699	1265	31	x	x	PUNCT
ap-7699	1265	32	since	since	SCONJ
ap-7699	1265	33	maybe	maybe	ADV
ap-7699	1265	34	only	only	ADV
ap-7699	1265	35	(	(	PUNCT
ap-7699	1265	36	very	very	ADV
ap-7699	1265	37	far	far	ADV
ap-7699	1265	38	)	)	PUNCT
ap-7699	1265	39	future	future	ADJ
ap-7699	1265	40	experiments	experiment	NOUN
ap-7699	1265	41	can	can	AUX
ap-7699	1265	42	force	force	VERB
ap-7699	1265	43	us	us	PROPN
ap-7699	1265	44	theoreticians	theoretician	NOUN
ap-7699	1265	45	to	to	PART
ap-7699	1265	46	consider	consider	VERB
ap-7699	1265	47	some	some	DET
ap-7699	1265	48	more	more	ADV
ap-7699	1265	49	restricted	restricted	ADJ
ap-7699	1265	50	subset	subset	NOUN
ap-7699	1265	51	or	or	CCONJ
ap-7699	1265	52	interval	interval	NOUN
ap-7699	1265	53	for	for	ADP
ap-7699	1265	54	the	the	DET
ap-7699	1265	55	values	value	NOUN
ap-7699	1265	56	of	of	ADP
ap-7699	1265	57	the	the	DET
ap-7699	1265	58	x	x	NOUN
ap-7699	1265	59	ratio	ratio	NOUN
ap-7699	1265	60	as	as	ADV
ap-7699	1265	61	consistent	consistent	ADJ
ap-7699	1265	62	with	with	ADP
ap-7699	1265	63	observed	observed	ADJ
ap-7699	1265	64	situation	situation	NOUN
ap-7699	1265	65	in	in	ADP
ap-7699	1265	66	the	the	DET
ap-7699	1265	67	nature	nature	NOUN
ap-7699	1265	68	.	.	PUNCT
ap-7699	1266	1	for	for	ADP
ap-7699	1266	2	the	the	DET
ap-7699	1266	3	moment	moment	NOUN
ap-7699	1266	4	it	it	PRON
ap-7699	1266	5	is	be	AUX
ap-7699	1266	6	reasonable	reasonable	ADJ
ap-7699	1266	7	to	to	PART
ap-7699	1266	8	consider	consider	VERB
ap-7699	1266	9	and	and	CCONJ
ap-7699	1266	10	explore	explore	VERB
ap-7699	1266	11	theoretically	theoretically	ADV
ap-7699	1266	12	all	all	PRON
ap-7699	1266	13	possible	possible	ADJ
ap-7699	1266	14	range	range	NOUN
ap-7699	1266	15	of	of	ADP
ap-7699	1266	16	values	value	NOUN
ap-7699	1266	17	for	for	ADP
ap-7699	1266	18	the	the	DET
ap-7699	1266	19	x	x	NOUN
ap-7699	1266	20	ratio	ratio	NOUN
ap-7699	1266	21	and	and	CCONJ
ap-7699	1266	22	also	also	ADV
ap-7699	1266	23	both	both	CCONJ
ap-7699	1266	24	possible	possible	ADJ
ap-7699	1266	25	signs	sign	NOUN
ap-7699	1266	26	.	.	PUNCT
ap-7699	1267	1	(	(	PUNCT
ap-7699	1267	2	only	only	ADV
ap-7699	1267	3	the	the	DET
ap-7699	1267	4	case	case	NOUN
ap-7699	1267	5	with	with	ADP
ap-7699	1267	6	x	x	SYM
ap-7699	1267	7	=	=	SYM
ap-7699	1267	8	0	0	NUM
ap-7699	1267	9	is	be	AUX
ap-7699	1267	10	excluded	exclude	VERB
ap-7699	1267	11	as	as	ADP
ap-7699	1267	12	a	a	DET
ap-7699	1267	13	non	non	ADJ
ap-7699	1267	14	-	-	ADJ
ap-7699	1267	15	renormalizable	renormalizable	ADJ
ap-7699	1267	16	theory	theory	NOUN
ap-7699	1267	17	that	that	SCONJ
ap-7699	1267	18	we	we	PRON
ap-7699	1267	19	have	have	AUX
ap-7699	1267	20	discussed	discuss	VERB
ap-7699	1267	21	before	before	ADV
ap-7699	1267	22	.	.	PUNCT
ap-7699	1267	23	)	)	PUNCT
ap-7699	1268	1	in	in	ADP
ap-7699	1268	2	the	the	DET
ap-7699	1268	3	last	last	ADJ
ap-7699	1268	4	section	section	NOUN
ap-7699	1268	5	of	of	ADP
ap-7699	1268	6	this	this	DET
ap-7699	1268	7	contribution	contribution	NOUN
ap-7699	1268	8	,	,	PUNCT
ap-7699	1268	9	we	we	PRON
ap-7699	1268	10	commented	comment	VERB
ap-7699	1268	11	on	on	ADP
ap-7699	1268	12	the	the	DET
ap-7699	1268	13	important	important	ADJ
ap-7699	1268	14	issue	issue	NOUN
ap-7699	1268	15	of	of	ADP
ap-7699	1268	16	stability	stability	NOUN
ap-7699	1268	17	of	of	ADP
ap-7699	1268	18	higherderivative	higherderivative	ADJ
ap-7699	1268	19	theories	theory	NOUN
ap-7699	1268	20	.	.	PUNCT
ap-7699	1269	1	we	we	PRON
ap-7699	1269	2	touched	touch	VERB
ap-7699	1269	3	both	both	CCONJ
ap-7699	1269	4	the	the	DET
ap-7699	1269	5	classical	classical	ADJ
ap-7699	1269	6	and	and	CCONJ
ap-7699	1269	7	quantum	quantum	NOUN
ap-7699	1269	8	levels	level	NOUN
ap-7699	1269	9	,	,	PUNCT
ap-7699	1269	10	while	while	SCONJ
ap-7699	1269	11	the	the	DET
ap-7699	1269	12	former	former	NOUN
ap-7699	1269	13	should	should	AUX
ap-7699	1269	14	not	not	PART
ap-7699	1269	15	be	be	AUX
ap-7699	1269	16	understood	understand	VERB
ap-7699	1269	17	as	as	ADP
ap-7699	1269	18	a	a	DET
ap-7699	1269	19	standalone	standalone	ADJ
ap-7699	1269	20	level	level	NOUN
ap-7699	1269	21	on	on	ADP
ap-7699	1269	22	which	which	PRON
ap-7699	1269	23	we	we	PRON
ap-7699	1269	24	can	can	AUX
ap-7699	1269	25	initially	initially	ADV
ap-7699	1269	26	(	(	PUNCT
ap-7699	1269	27	before	before	ADP
ap-7699	1269	28	supposed	suppose	VERB
ap-7699	1269	29	quantization	quantization	NOUN
ap-7699	1269	30	)	)	PUNCT
ap-7699	1269	31	define	define	VERB
ap-7699	1269	32	the	the	DET
ap-7699	1269	33	classical	classical	ADJ
ap-7699	1269	34	theory	theory	NOUN
ap-7699	1269	35	of	of	ADP
ap-7699	1269	36	the	the	DET
ap-7699	1269	37	relativistic	relativistic	ADJ
ap-7699	1269	38	gravitational	gravitational	ADJ
ap-7699	1269	39	field	field	NOUN
ap-7699	1269	40	.	.	PUNCT
ap-7699	1270	1	we	we	PRON
ap-7699	1270	2	followed	follow	VERB
ap-7699	1270	3	the	the	DET
ap-7699	1270	4	philosophy	philosophy	NOUN
ap-7699	1270	5	that	that	SCONJ
ap-7699	1270	6	the	the	DET
ap-7699	1270	7	quantum	quantum	NOUN
ap-7699	1270	8	theory	theory	NOUN
ap-7699	1270	9	is	be	AUX
ap-7699	1270	10	more	more	ADV
ap-7699	1270	11	fundamental	fundamental	ADJ
ap-7699	1270	12	and	and	CCONJ
ap-7699	1270	13	it	it	PRON
ap-7699	1270	14	is	be	AUX
ap-7699	1270	15	a	a	DET
ap-7699	1270	16	starting	starting	NOUN
ap-7699	1270	17	point	point	NOUN
ap-7699	1270	18	to	to	PART
ap-7699	1270	19	consider	consider	VERB
ap-7699	1270	20	various	various	ADJ
ap-7699	1270	21	limits	limit	NOUN
ap-7699	1270	22	,	,	PUNCT
ap-7699	1270	23	if	if	SCONJ
ap-7699	1270	24	it	it	PRON
ap-7699	1270	25	is	be	AUX
ap-7699	1270	26	properly	properly	ADV
ap-7699	1270	27	quantized	quantize	VERB
ap-7699	1270	28	(	(	PUNCT
ap-7699	1270	29	in	in	ADP
ap-7699	1270	30	a	a	DET
ap-7699	1270	31	sense	sense	NOUN
ap-7699	1270	32	that	that	SCONJ
ap-7699	1270	33	the	the	DET
ap-7699	1270	34	quantum	quantum	ADJ
ap-7699	1270	35	partition	partition	NOUN
ap-7699	1270	36	function	function	NOUN
ap-7699	1270	37	is	be	AUX
ap-7699	1270	38	consistently	consistently	ADV
ap-7699	1270	39	defined	define	VERB
ap-7699	1270	40	,	,	PUNCT
ap-7699	1270	41	regardless	regardless	ADV
ap-7699	1270	42	of	of	ADP
ap-7699	1270	43	how	how	SCONJ
ap-7699	1270	44	we	we	PRON
ap-7699	1270	45	get	get	VERB
ap-7699	1270	46	there	there	ADV
ap-7699	1270	47	to	to	ADP
ap-7699	1270	48	its	its	PRON
ap-7699	1270	49	form	form	NOUN
ap-7699	1270	50	,	,	PUNCT
ap-7699	1270	51	no	no	ADV
ap-7699	1270	52	matter	matter	ADV
ap-7699	1270	53	which	which	DET
ap-7699	1270	54	formal	formal	ADJ
ap-7699	1270	55	quantization	quantization	NOUN
ap-7699	1270	56	procedure	procedure	NOUN
ap-7699	1270	57	we	we	PRON
ap-7699	1270	58	have	have	AUX
ap-7699	1270	59	been	be	AUX
ap-7699	1270	60	following	follow	VERB
ap-7699	1270	61	)	)	PUNCT
ap-7699	1270	62	.	.	PUNCT
ap-7699	1271	1	one	one	NUM
ap-7699	1271	2	of	of	ADP
ap-7699	1271	3	such	such	ADJ
ap-7699	1271	4	possible	possible	ADJ
ap-7699	1271	5	limit	limit	NOUN
ap-7699	1271	6	is	be	AUX
ap-7699	1271	7	the	the	DET
ap-7699	1271	8	classical	classical	ADJ
ap-7699	1271	9	limit	limit	NOUN
ap-7699	1271	10	where	where	SCONJ
ap-7699	1271	11	the	the	DET
ap-7699	1271	12	field	field	NOUN
ap-7699	1271	13	expectation	expectation	NOUN
ap-7699	1271	14	values	value	NOUN
ap-7699	1271	15	are	be	AUX
ap-7699	1271	16	large	large	ADJ
ap-7699	1271	17	compared	compare	VERB
ap-7699	1271	18	to	to	ADP
ap-7699	1271	19	characteristic	characteristic	ADJ
ap-7699	1271	20	values	value	NOUN
ap-7699	1271	21	as	as	SCONJ
ap-7699	1271	22	found	find	VERB
ap-7699	1271	23	in	in	ADP
ap-7699	1271	24	the	the	DET
ap-7699	1271	25	microworld	microworld	NOUN
ap-7699	1271	26	of	of	ADP
ap-7699	1271	27	elementary	elementary	ADJ
ap-7699	1271	28	particles	particle	NOUN
ap-7699	1271	29	.	.	PUNCT
ap-7699	1272	1	and	and	CCONJ
ap-7699	1272	2	also	also	ADV
ap-7699	1272	3	the	the	DET
ap-7699	1272	4	occupation	occupation	NOUN
ap-7699	1272	5	number	number	NOUN
ap-7699	1272	6	for	for	ADP
ap-7699	1272	7	bosonic	bosonic	NOUN
ap-7699	1272	8	states	state	NOUN
ap-7699	1272	9	are	be	AUX
ap-7699	1272	10	large	large	ADJ
ap-7699	1272	11	number	number	NOUN
ap-7699	1272	12	(	(	PUNCT
ap-7699	1272	13	of	of	ADP
ap-7699	1272	14	the	the	DET
ap-7699	1272	15	order	order	NOUN
ap-7699	1272	16	of	of	ADP
ap-7699	1272	17	avogadro	avogadro	PROPN
ap-7699	1272	18	number	number	NOUN
ap-7699	1272	19	for	for	ADP
ap-7699	1272	20	example	example	NOUN
ap-7699	1272	21	)	)	PUNCT
ap-7699	1272	22	.	.	PUNCT
ap-7699	1273	1	then	then	ADV
ap-7699	1273	2	we	we	PRON
ap-7699	1273	3	could	could	AUX
ap-7699	1273	4	speak	speak	VERB
ap-7699	1273	5	about	about	ADP
ap-7699	1273	6	coherent	coherent	ADJ
ap-7699	1273	7	states	state	NOUN
ap-7699	1273	8	which	which	PRON
ap-7699	1273	9	could	could	AUX
ap-7699	1273	10	define	define	VERB
ap-7699	1273	11	well	well	ADV
ap-7699	1273	12	classical	classical	ADJ
ap-7699	1273	13	limit	limit	NOUN
ap-7699	1273	14	of	of	ADP
ap-7699	1273	15	the	the	DET
ap-7699	1273	16	theory	theory	NOUN
ap-7699	1273	17	.	.	PUNCT
ap-7699	1274	1	such	such	ADJ
ap-7699	1274	2	procedure	procedure	NOUN
ap-7699	1274	3	has	have	VERB
ap-7699	1274	4	to	to	PART
ap-7699	1274	5	be	be	AUX
ap-7699	1274	6	followed	follow	VERB
ap-7699	1274	7	in	in	ADP
ap-7699	1274	8	order	order	NOUN
ap-7699	1274	9	to	to	PART
ap-7699	1274	10	define	define	VERB
ap-7699	1274	11	hd	hd	NOUN
ap-7699	1274	12	classical	classical	ADJ
ap-7699	1274	13	gravitational	gravitational	ADJ
ap-7699	1274	14	theory	theory	NOUN
ap-7699	1274	15	.	.	PUNCT
ap-7699	1275	1	we	we	PRON
ap-7699	1275	2	emphasized	emphasize	VERB
ap-7699	1275	3	that	that	SCONJ
ap-7699	1275	4	quantum	quantum	ADJ
ap-7699	1275	5	theory	theory	NOUN
ap-7699	1275	6	is	be	AUX
ap-7699	1275	7	the	the	DET
ap-7699	1275	8	basis	basis	NOUN
ap-7699	1275	9	and	and	CCONJ
ap-7699	1275	10	classical	classical	ADJ
ap-7699	1275	11	theory	theory	NOUN
ap-7699	1275	12	is	be	AUX
ap-7699	1275	13	the	the	DET
ap-7699	1275	14	derived	derive	VERB
ap-7699	1275	15	concept	concept	NOUN
ap-7699	1275	16	,	,	PUNCT
ap-7699	1275	17	not	not	PART
ap-7699	1275	18	vice	vice	ADV
ap-7699	1275	19	versa	versa	ADV
ap-7699	1275	20	.	.	PUNCT
ap-7699	1276	1	on	on	ADP
ap-7699	1276	2	the	the	DET
ap-7699	1276	3	quantum	quantum	ADJ
ap-7699	1276	4	level	level	NOUN
ap-7699	1276	5	we	we	PRON
ap-7699	1276	6	shortly	shortly	ADV
ap-7699	1276	7	discussed	discuss	VERB
ap-7699	1276	8	various	various	ADJ
ap-7699	1276	9	approaches	approach	NOUN
ap-7699	1276	10	present	present	ADJ
ap-7699	1276	11	in	in	ADP
ap-7699	1276	12	the	the	DET
ap-7699	1276	13	literature	literature	NOUN
ap-7699	1276	14	to	to	PART
ap-7699	1276	15	solve	solve	VERB
ap-7699	1276	16	the	the	DET
ap-7699	1276	17	problems	problem	NOUN
ap-7699	1276	18	with	with	ADP
ap-7699	1276	19	unwanted	unwanted	ADJ
ap-7699	1276	20	ghost	ghost	NOUN
ap-7699	1276	21	-	-	PUNCT
ap-7699	1276	22	like	like	ADJ
ap-7699	1276	23	particle	particle	NOUN
ap-7699	1276	24	states	state	NOUN
ap-7699	1276	25	.	.	PUNCT
ap-7699	1277	1	they	they	PRON
ap-7699	1277	2	were	be	AUX
ap-7699	1277	3	classified	classify	VERB
ap-7699	1277	4	in	in	ADP
ap-7699	1277	5	two	two	NUM
ap-7699	1277	6	groups	group	NOUN
ap-7699	1277	7	:	:	PUNCT
ap-7699	1277	8	theories	theory	NOUN
ap-7699	1277	9	with	with	ADP
ap-7699	1277	10	pt	pt	NOUN
ap-7699	1277	11	-symmetric	-symmetric	ADJ
ap-7699	1277	12	hamiltonian	hamiltonian	NOUN
ap-7699	1277	13	and	and	CCONJ
ap-7699	1277	14	theories	theory	NOUN
ap-7699	1277	15	with	with	ADP
ap-7699	1277	16	anselmi	anselmi	ADJ
ap-7699	1277	17	-	-	PUNCT
ap-7699	1277	18	piva	piva	ADJ
ap-7699	1277	19	prescription	prescription	NOUN
ap-7699	1277	20	instead	instead	ADV
ap-7699	1277	21	of	of	ADP
ap-7699	1277	22	the	the	DET
ap-7699	1277	23	feynman	feynman	ADJ
ap-7699	1277	24	prescription	prescription	NOUN
ap-7699	1277	25	to	to	PART
ap-7699	1277	26	take	take	VERB
ap-7699	1277	27	into	into	ADP
ap-7699	1277	28	account	account	NOUN
ap-7699	1277	29	contributions	contribution	NOUN
ap-7699	1277	30	of	of	ADP
ap-7699	1277	31	the	the	DET
ap-7699	1277	32	poles	pole	NOUN
ap-7699	1277	33	of	of	ADP
ap-7699	1277	34	the	the	DET
ap-7699	1277	35	ghost	ghost	NOUN
ap-7699	1277	36	but	but	CCONJ
ap-7699	1277	37	without	without	ADP
ap-7699	1277	38	spoiling	spoil	VERB
ap-7699	1277	39	the	the	DET
ap-7699	1277	40	unitarity	unitarity	NOUN
ap-7699	1277	41	issue	issue	NOUN
ap-7699	1277	42	.	.	PUNCT
ap-7699	1278	1	on	on	ADP
ap-7699	1278	2	the	the	DET
ap-7699	1278	3	quantum	quantum	ADJ
ap-7699	1278	4	level	level	NOUN
ap-7699	1278	5	,	,	PUNCT
ap-7699	1278	6	we	we	PRON
ap-7699	1278	7	considered	consider	VERB
ap-7699	1278	8	mainly	mainly	ADV
ap-7699	1278	9	the	the	DET
ap-7699	1278	10	issue	issue	NOUN
ap-7699	1278	11	with	with	ADP
ap-7699	1278	12	unitarity	unitarity	NOUN
ap-7699	1278	13	of	of	ADP
ap-7699	1278	14	the	the	DET
ap-7699	1278	15	scattering	scatter	VERB
ap-7699	1278	16	matrix	matrix	NOUN
ap-7699	1278	17	since	since	SCONJ
ap-7699	1278	18	this	this	PRON
ap-7699	1278	19	seems	seem	VERB
ap-7699	1278	20	the	the	DET
ap-7699	1278	21	most	most	ADV
ap-7699	1278	22	problematic	problematic	ADJ
ap-7699	1278	23	one	one	NOUN
ap-7699	1278	24	.	.	PUNCT
ap-7699	1279	1	the	the	DET
ap-7699	1279	2	violation	violation	NOUN
ap-7699	1279	3	of	of	ADP
ap-7699	1279	4	unitarity	unitarity	NOUN
ap-7699	1279	5	would	would	AUX
ap-7699	1279	6	signal	signal	VERB
ap-7699	1279	7	the	the	DET
ap-7699	1279	8	problem	problem	NOUN
ap-7699	1279	9	with	with	ADP
ap-7699	1279	10	conservation	conservation	NOUN
ap-7699	1279	11	of	of	ADP
ap-7699	1279	12	the	the	DET
ap-7699	1279	13	probability	probability	NOUN
ap-7699	1279	14	of	of	ADP
ap-7699	1279	15	quantum	quantum	NOUN
ap-7699	1279	16	processes	process	NOUN
ap-7699	1279	17	.	.	PUNCT
ap-7699	1280	1	something	something	PRON
ap-7699	1280	2	that	that	PRON
ap-7699	1280	3	we	we	PRON
ap-7699	1280	4	can	can	AUX
ap-7699	1280	5	not	not	PART
ap-7699	1280	6	allow	allow	VERB
ap-7699	1280	7	to	to	PART
ap-7699	1280	8	happen	happen	VERB
ap-7699	1280	9	in	in	ADP
ap-7699	1280	10	quantum	quantum	ADJ
ap-7699	1280	11	-	-	ADJ
ap-7699	1280	12	mechanical	mechanical	ADJ
ap-7699	1280	13	framework	framework	NOUN
ap-7699	1280	14	for	for	ADP
ap-7699	1280	15	the	the	DET
ap-7699	1280	16	isolated	isolated	ADJ
ap-7699	1280	17	quantum	quantum	NOUN
ap-7699	1280	18	system	system	NOUN
ap-7699	1280	19	(	(	PUNCT
ap-7699	1280	20	non	non	ADJ
ap-7699	1280	21	-	-	ADJ
ap-7699	1280	22	interacting	interact	VERB
ap-7699	1280	23	with	with	ADP
ap-7699	1280	24	the	the	DET
ap-7699	1280	25	noisy	noisy	ADJ
ap-7699	1280	26	decohering	decohering	NOUN
ap-7699	1280	27	and	and	CCONJ
ap-7699	1280	28	dissipative	dissipative	NOUN
ap-7699	1280	29	or	or	CCONJ
ap-7699	1280	30	some	some	DET
ap-7699	1280	31	thermal	thermal	ADJ
ap-7699	1280	32	environment	environment	NOUN
ap-7699	1280	33	)	)	PUNCT
ap-7699	1280	34	.	.	PUNCT
ap-7699	1281	1	of	of	ADP
ap-7699	1281	2	course	course	NOUN
ap-7699	1281	3	,	,	PUNCT
ap-7699	1281	4	such	such	DET
ap-7699	1281	5	an	an	DET
ap-7699	1281	6	analysis	analysis	NOUN
ap-7699	1281	7	was	be	AUX
ap-7699	1281	8	tailormade	tailormade	NOUN
ap-7699	1281	9	for	for	ADP
ap-7699	1281	10	the	the	DET
ap-7699	1281	11	cases	case	NOUN
ap-7699	1281	12	of	of	ADP
ap-7699	1281	13	gravitational	gravitational	ADJ
ap-7699	1281	14	backgrounds	background	NOUN
ap-7699	1281	15	on	on	ADP
ap-7699	1281	16	which	which	PRON
ap-7699	1281	17	we	we	PRON
ap-7699	1281	18	can	can	AUX
ap-7699	1281	19	define	define	VERB
ap-7699	1281	20	properly	properly	ADV
ap-7699	1281	21	the	the	DET
ap-7699	1281	22	scattering	scatter	VERB
ap-7699	1281	23	process	process	NOUN
ap-7699	1281	24	.	.	PUNCT
ap-7699	1282	1	in	in	ADP
ap-7699	1282	2	general	general	ADJ
ap-7699	1282	3	,	,	PUNCT
ap-7699	1282	4	the	the	DET
ap-7699	1282	5	scattering	scatter	VERB
ap-7699	1282	6	processes	process	NOUN
ap-7699	1282	7	are	be	AUX
ap-7699	1282	8	not	not	PART
ap-7699	1282	9	everything	everything	PRON
ap-7699	1282	10	we	we	PRON
ap-7699	1282	11	can	can	AUX
ap-7699	1282	12	talk	talk	VERB
ap-7699	1282	13	about	about	ADP
ap-7699	1282	14	in	in	ADP
ap-7699	1282	15	quantum	quantum	ADJ
ap-7699	1282	16	field	field	NOUN
ap-7699	1282	17	theories	theory	NOUN
ap-7699	1282	18	even	even	ADV
ap-7699	1282	19	for	for	ADP
ap-7699	1282	20	on	on	ADP
ap-7699	1282	21	-	-	PUNCT
ap-7699	1282	22	shell	shell	NOUN
ap-7699	1282	23	quantities	quantity	NOUN
ap-7699	1282	24	.	.	PUNCT
ap-7699	1283	1	the	the	DET
ap-7699	1283	2	analysis	analysis	NOUN
ap-7699	1283	3	of	of	ADP
ap-7699	1283	4	some	some	DET
ap-7699	1283	5	on	on	ADP
ap-7699	1283	6	-	-	PUNCT
ap-7699	1283	7	shell	shell	NOUN
ap-7699	1283	8	dressed	dressed	ADJ
ap-7699	1283	9	green	green	ADJ
ap-7699	1283	10	functions	function	NOUN
ap-7699	1283	11	may	may	AUX
ap-7699	1283	12	also	also	ADV
ap-7699	1283	13	show	show	VERB
ap-7699	1283	14	some	some	DET
ap-7699	1283	15	problems	problem	NOUN
ap-7699	1283	16	with	with	ADP
ap-7699	1283	17	quantum	quantum	ADJ
ap-7699	1283	18	stability	stability	NOUN
ap-7699	1283	19	of	of	ADP
ap-7699	1283	20	the	the	DET
ap-7699	1283	21	system	system	NOUN
ap-7699	1283	22	.	.	PUNCT
ap-7699	1284	1	therefore	therefore	ADV
ap-7699	1284	2	,	,	PUNCT
ap-7699	1284	3	we	we	PRON
ap-7699	1284	4	briefly	briefly	ADV
ap-7699	1284	5	also	also	ADV
ap-7699	1284	6	described	describe	VERB
ap-7699	1284	7	the	the	DET
ap-7699	1284	8	results	result	NOUN
ap-7699	1284	9	of	of	ADP
ap-7699	1284	10	the	the	DET
ap-7699	1284	11	stability	stability	NOUN
ap-7699	1284	12	analysis	analysis	NOUN
ap-7699	1284	13	,	,	PUNCT
ap-7699	1284	14	both	both	PRON
ap-7699	1284	15	on	on	ADP
ap-7699	1284	16	the	the	DET
ap-7699	1284	17	classical	classical	ADJ
ap-7699	1284	18	and	and	CCONJ
ap-7699	1284	19	quantum	quantum	ADJ
ap-7699	1284	20	level	level	NOUN
ap-7699	1284	21	and	and	CCONJ
ap-7699	1284	22	to	to	ADP
ap-7699	1284	23	the	the	DET
ap-7699	1284	24	various	various	ADJ
ap-7699	1284	25	loop	loop	NOUN
ap-7699	1284	26	accuracy	accuracy	NOUN
ap-7699	1284	27	in	in	ADP
ap-7699	1284	28	qg	qg	PROPN
ap-7699	1284	29	models	model	NOUN
ap-7699	1284	30	.	.	PUNCT
ap-7699	1285	1	this	this	DET
ap-7699	1285	2	analysis	analysis	NOUN
ap-7699	1285	3	is	be	AUX
ap-7699	1285	4	in	in	ADP
ap-7699	1285	5	principle	principle	NOUN
ap-7699	1285	6	applicable	applicable	ADJ
ap-7699	1285	7	to	to	ADP
ap-7699	1285	8	the	the	DET
ap-7699	1285	9	case	case	NOUN
ap-7699	1285	10	of	of	ADP
ap-7699	1285	11	any	any	DET
ap-7699	1285	12	gravitational	gravitational	ADJ
ap-7699	1285	13	background	background	NOUN
ap-7699	1285	14	,	,	PUNCT
ap-7699	1285	15	more	more	ADV
ap-7699	1285	16	general	general	ADJ
ap-7699	1285	17	than	than	ADP
ap-7699	1285	18	the	the	DET
ap-7699	1285	19	one	one	NUM
ap-7699	1285	20	coming	come	VERB
ap-7699	1285	21	with	with	ADP
ap-7699	1285	22	the	the	DET
ap-7699	1285	23	requirement	requirement	NOUN
ap-7699	1285	24	of	of	ADP
ap-7699	1285	25	asymptotic	asymptotic	ADJ
ap-7699	1285	26	flatness	flatness	NOUN
ap-7699	1285	27	.	.	PUNCT
ap-7699	1286	1	we	we	PRON
ap-7699	1286	2	also	also	ADV
ap-7699	1286	3	mentioned	mention	VERB
ap-7699	1286	4	that	that	SCONJ
ap-7699	1286	5	in	in	ADP
ap-7699	1286	6	some	some	DET
ap-7699	1286	7	cases	case	NOUN
ap-7699	1286	8	of	of	ADP
ap-7699	1286	9	classical	classical	ADJ
ap-7699	1286	10	field	field	NOUN
ap-7699	1286	11	theory	theory	NOUN
ap-7699	1286	12	the	the	DET
ap-7699	1286	13	analysis	analysis	NOUN
ap-7699	1286	14	of	of	ADP
ap-7699	1286	15	classical	classical	ADJ
ap-7699	1286	16	exact	exact	ADJ
ap-7699	1286	17	solutions	solution	NOUN
ap-7699	1286	18	shows	show	VERB
ap-7699	1286	19	that	that	SCONJ
ap-7699	1286	20	the	the	DET
ap-7699	1286	21	very	very	ADV
ap-7699	1286	22	special	special	ADJ
ap-7699	1286	23	and	and	CCONJ
ap-7699	1286	24	tuned	tune	VERB
ap-7699	1286	25	solutions	solution	NOUN
ap-7699	1286	26	are	be	AUX
ap-7699	1286	27	without	without	ADP
ap-7699	1286	28	classical	classical	ADJ
ap-7699	1286	29	instabilities	instability	NOUN
ap-7699	1286	30	and	and	CCONJ
ap-7699	1286	31	they	they	PRON
ap-7699	1286	32	are	be	AUX
ap-7699	1286	33	well	well	ADV
ap-7699	1286	34	-	-	PUNCT
ap-7699	1286	35	defined	define	VERB
ap-7699	1286	36	for	for	ADP
ap-7699	1286	37	any	any	DET
ap-7699	1286	38	time	time	NOUN
ap-7699	1286	39	starting	start	VERB
ap-7699	1286	40	with	with	ADP
ap-7699	1286	41	very	very	ADV
ap-7699	1286	42	special	special	ADJ
ap-7699	1286	43	initial	initial	ADJ
ap-7699	1286	44	or	or	CCONJ
ap-7699	1286	45	boundary	boundary	ADJ
ap-7699	1286	46	conditions	condition	NOUN
ap-7699	1286	47	.	.	PUNCT
ap-7699	1287	1	for	for	ADP
ap-7699	1287	2	example	example	NOUN
ap-7699	1287	3	,	,	PUNCT
ap-7699	1287	4	here	here	ADV
ap-7699	1287	5	we	we	PRON
ap-7699	1287	6	can	can	AUX
ap-7699	1287	7	mention	mention	VERB
ap-7699	1287	8	the	the	DET
ap-7699	1287	9	case	case	NOUN
ap-7699	1287	10	of	of	ADP
ap-7699	1287	11	so	so	ADV
ap-7699	1287	12	-	-	PUNCT
ap-7699	1287	13	called	call	VERB
ap-7699	1287	14	benign	benign	ADJ
ap-7699	1287	15	ghosts	ghost	NOUN
ap-7699	1287	16	of	of	ADP
ap-7699	1287	17	higher	high	ADJ
ap-7699	1287	18	-	-	PUNCT
ap-7699	1287	19	derivative	derivative	ADJ
ap-7699	1287	20	gravitational	gravitational	ADJ
ap-7699	1287	21	theories	theory	NOUN
ap-7699	1287	22	as	as	SCONJ
ap-7699	1287	23	proposed	propose	VERB
ap-7699	1287	24	by	by	ADP
ap-7699	1287	25	smilga	smilga	ADJ
ap-7699	1287	26	some	some	DET
ap-7699	1287	27	time	time	NOUN
ap-7699	1287	28	ago	ago	ADV
ap-7699	1287	29	.	.	PUNCT
ap-7699	1288	1	this	this	PRON
ap-7699	1288	2	should	should	AUX
ap-7699	1288	3	prove	prove	VERB
ap-7699	1288	4	to	to	ADP
ap-7699	1288	5	the	the	DET
ap-7699	1288	6	reader	reader	NOUN
ap-7699	1288	7	that	that	SCONJ
ap-7699	1288	8	we	we	PRON
ap-7699	1288	9	are	be	AUX
ap-7699	1288	10	dealing	deal	VERB
ap-7699	1288	11	with	with	ADP
ap-7699	1288	12	the	the	DET
ap-7699	1288	13	theories	theory	NOUN
ap-7699	1288	14	which	which	PRON
ap-7699	1288	15	besides	besides	SCONJ
ap-7699	1288	16	a	a	DET
ap-7699	1288	17	very	very	ADV
ap-7699	1288	18	interesting	interesting	ADJ
ap-7699	1288	19	structure	structure	NOUN
ap-7699	1288	20	of	of	ADP
ap-7699	1288	21	perturbative	perturbative	ADJ
ap-7699	1288	22	beta	beta	NOUN
ap-7699	1288	23	functions	function	NOUN
ap-7699	1288	24	,	,	PUNCT
ap-7699	1288	25	are	be	AUX
ap-7699	1288	26	also	also	ADV
ap-7699	1288	27	amenable	amenable	ADJ
ap-7699	1288	28	to	to	PART
ap-7699	1288	29	solve	solve	VERB
ap-7699	1288	30	the	the	DET
ap-7699	1288	31	stability	stability	NOUN
ap-7699	1288	32	and	and	CCONJ
ap-7699	1288	33	unitarity	unitarity	NOUN
ap-7699	1288	34	issues	issue	NOUN
ap-7699	1288	35	in	in	ADP
ap-7699	1288	36	these	these	DET
ap-7699	1288	37	theories	theory	NOUN
ap-7699	1288	38	,	,	PUNCT
ap-7699	1288	39	both	both	PRON
ap-7699	1288	40	on	on	ADP
ap-7699	1288	41	the	the	DET
ap-7699	1288	42	quantum	quantum	NOUN
ap-7699	1288	43	as	as	ADV
ap-7699	1288	44	well	well	ADV
ap-7699	1288	45	as	as	ADP
ap-7699	1288	46	on	on	ADP
ap-7699	1288	47	the	the	DET
ap-7699	1288	48	classical	classical	ADJ
ap-7699	1288	49	level	level	NOUN
ap-7699	1288	50	.	.	PUNCT
ap-7699	1289	1	with	with	ADP
ap-7699	1289	2	some	some	DET
ap-7699	1289	3	special	special	ADJ
ap-7699	1289	4	care	care	NOUN
ap-7699	1289	5	we	we	PRON
ap-7699	1289	6	can	can	AUX
ap-7699	1289	7	exert	exert	VERB
ap-7699	1289	8	control	control	NOUN
ap-7699	1289	9	and	and	CCONJ
ap-7699	1289	10	hd	hd	PROPN
ap-7699	1289	11	gravitational	gravitational	ADJ
ap-7699	1289	12	theories	theory	NOUN
ap-7699	1289	13	are	be	AUX
ap-7699	1289	14	stable	stable	ADJ
ap-7699	1289	15	quantum	quantum	NOUN
ap-7699	1289	16	-	-	PUNCT
ap-7699	1289	17	mechanically	mechanically	ADV
ap-7699	1289	18	and	and	CCONJ
ap-7699	1289	19	this	this	PRON
ap-7699	1289	20	is	be	AUX
ap-7699	1289	21	what	what	PRON
ap-7699	1289	22	matters	matter	VERB
ap-7699	1289	23	fundamentally	fundamentally	ADV
ap-7699	1289	24	.	.	PUNCT
ap-7699	1290	1	acknowledgements	acknowledgement	NOUN
ap-7699	1290	2	we	we	PRON
ap-7699	1290	3	would	would	AUX
ap-7699	1290	4	like	like	VERB
ap-7699	1290	5	to	to	PART
ap-7699	1290	6	thank	thank	VERB
ap-7699	1290	7	i.	i.	PROPN
ap-7699	1290	8	l.	l.	PROPN
ap-7699	1290	9	shapiro	shapiro	PROPN
ap-7699	1290	10	,	,	PUNCT
ap-7699	1290	11	l.	l.	PROPN
ap-7699	1290	12	modesto	modesto	PROPN
ap-7699	1290	13	and	and	CCONJ
ap-7699	1290	14	a.	a.	NOUN
ap-7699	1290	15	pinzul	pinzul	NOUN
ap-7699	1290	16	for	for	ADP
ap-7699	1290	17	initial	initial	ADJ
ap-7699	1290	18	comments	comment	NOUN
ap-7699	1290	19	and	and	CCONJ
ap-7699	1290	20	encouragement	encouragement	NOUN
ap-7699	1290	21	about	about	ADP
ap-7699	1290	22	this	this	DET
ap-7699	1290	23	work	work	NOUN
ap-7699	1290	24	.	.	PUNCT
ap-7699	1291	1	l.	l.	PROPN
ap-7699	1291	2	r.	r.	PROPN
ap-7699	1291	3	thanks	thanks	PROPN
ap-7699	1291	4	the	the	DET
ap-7699	1291	5	department	department	PROPN
ap-7699	1291	6	of	of	ADP
ap-7699	1291	7	physics	physics	PROPN
ap-7699	1291	8	of	of	ADP
ap-7699	1291	9	the	the	DET
ap-7699	1291	10	federal	federal	PROPN
ap-7699	1291	11	university	university	PROPN
ap-7699	1291	12	of	of	ADP
ap-7699	1291	13	juiz	juiz	PROPN
ap-7699	1291	14	de	de	PROPN
ap-7699	1291	15	fora	fora	PROPN
ap-7699	1291	16	for	for	ADP
ap-7699	1291	17	kind	kind	ADJ
ap-7699	1291	18	hospitality	hospitality	NOUN
ap-7699	1291	19	and	and	CCONJ
ap-7699	1291	20	fapemig	fapemig	VERB
ap-7699	1291	21	for	for	ADP
ap-7699	1291	22	a	a	DET
ap-7699	1291	23	technical	technical	ADJ
ap-7699	1291	24	support	support	NOUN
ap-7699	1291	25	.	.	PUNCT
ap-7699	1292	1	finally	finally	ADV
ap-7699	1292	2	,	,	PUNCT
ap-7699	1292	3	we	we	PRON
ap-7699	1292	4	would	would	AUX
ap-7699	1292	5	like	like	VERB
ap-7699	1292	6	to	to	PART
ap-7699	1292	7	express	express	VERB
ap-7699	1292	8	our	our	PRON
ap-7699	1292	9	gratitude	gratitude	NOUN
ap-7699	1292	10	to	to	ADP
ap-7699	1292	11	the	the	DET
ap-7699	1292	12	organizers	organizer	NOUN
ap-7699	1292	13	of	of	ADP
ap-7699	1292	14	the	the	DET
ap-7699	1292	15	“	"	PUNCT
ap-7699	1292	16	algebraic	algebraic	ADJ
ap-7699	1292	17	and	and	CCONJ
ap-7699	1292	18	analytic	analytic	ADJ
ap-7699	1292	19	methods	method	NOUN
ap-7699	1292	20	in	in	ADP
ap-7699	1292	21	physics	physic	NOUN
ap-7699	1292	22	”	"	PUNCT
ap-7699	1292	23	–	–	PUNCT
ap-7699	1292	24	aamp	aamp	PROPN
ap-7699	1292	25	xviii	xviii	PROPN
ap-7699	1292	26	conference	conference	NOUN
ap-7699	1292	27	for	for	ADP
ap-7699	1292	28	accepting	accept	VERB
ap-7699	1292	29	our	our	PRON
ap-7699	1292	30	talk	talk	NOUN
ap-7699	1292	31	proposal	proposal	NOUN
ap-7699	1292	32	and	and	CCONJ
ap-7699	1292	33	for	for	ADP
ap-7699	1292	34	creating	create	VERB
ap-7699	1292	35	a	a	DET
ap-7699	1292	36	stimulating	stimulate	VERB
ap-7699	1292	37	environment	environment	NOUN
ap-7699	1292	38	for	for	ADP
ap-7699	1292	39	scientific	scientific	ADJ
ap-7699	1292	40	online	online	ADJ
ap-7699	1292	41	discussions	discussion	NOUN
ap-7699	1292	42	.	.	PUNCT
ap-7699	1293	1	references	reference	NOUN
ap-7699	1293	2	[	[	X
ap-7699	1293	3	1	1	NUM
ap-7699	1293	4	]	]	PUNCT
ap-7699	1293	5	b.	b.	PROPN
ap-7699	1293	6	s.	s.	PROPN
ap-7699	1293	7	dewitt	dewitt	PROPN
ap-7699	1293	8	.	.	PUNCT
ap-7699	1293	9	quantum	quantum	PROPN
ap-7699	1293	10	theory	theory	NOUN
ap-7699	1293	11	of	of	ADP
ap-7699	1293	12	gravity	gravity	NOUN
ap-7699	1293	13	.	.	PUNCT
ap-7699	1294	1	1	1	X
ap-7699	1294	2	.	.	X
ap-7699	1294	3	the	the	DET
ap-7699	1294	4	canonical	canonical	ADJ
ap-7699	1294	5	theory	theory	NOUN
ap-7699	1294	6	.	.	PUNCT
ap-7699	1295	1	physical	physical	ADJ
ap-7699	1295	2	review	review	PROPN
ap-7699	1295	3	160(5):1113–1148	160(5):1113–1148	NUM
ap-7699	1295	4	,	,	PUNCT
ap-7699	1295	5	1967	1967	NUM
ap-7699	1295	6	.	.	PUNCT
ap-7699	1296	1	https://doi.org/10.1103/physrev.160.1113	https://doi.org/10.1103/physrev.160.1113	NOUN
ap-7699	1296	2	.	.	PUNCT
ap-7699	1297	1	[	[	X
ap-7699	1297	2	2	2	NUM
ap-7699	1297	3	]	]	X
ap-7699	1297	4	b.	b.	PROPN
ap-7699	1297	5	s.	s.	PROPN
ap-7699	1297	6	dewitt	dewitt	PROPN
ap-7699	1297	7	.	.	PUNCT
ap-7699	1297	8	quantum	quantum	PROPN
ap-7699	1297	9	theory	theory	NOUN
ap-7699	1297	10	of	of	ADP
ap-7699	1297	11	gravity	gravity	NOUN
ap-7699	1297	12	.	.	PUNCT
ap-7699	1298	1	2	2	X
ap-7699	1298	2	.	.	X
ap-7699	1298	3	the	the	DET
ap-7699	1298	4	manifestly	manifestly	ADV
ap-7699	1298	5	covariant	covariant	ADJ
ap-7699	1298	6	theory	theory	NOUN
ap-7699	1298	7	.	.	PUNCT
ap-7699	1299	1	physical	physical	ADJ
ap-7699	1299	2	review	review	PROPN
ap-7699	1299	3	162(5):1195–1239	162(5):1195–1239	NUM
ap-7699	1299	4	,	,	PUNCT
ap-7699	1299	5	1967	1967	NUM
ap-7699	1299	6	.	.	PUNCT
ap-7699	1300	1	https://doi.org/10.1103/physrev.162.1195	https://doi.org/10.1103/physrev.162.1195	NOUN
ap-7699	1300	2	.	.	PUNCT
ap-7699	1301	1	[	[	X
ap-7699	1301	2	3	3	X
ap-7699	1301	3	]	]	X
ap-7699	1301	4	b.	b.	PROPN
ap-7699	1301	5	s.	s.	PROPN
ap-7699	1301	6	dewitt	dewitt	PROPN
ap-7699	1301	7	.	.	PUNCT
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ap-7699	1301	9	theory	theory	NOUN
ap-7699	1301	10	of	of	ADP
ap-7699	1301	11	gravity	gravity	NOUN
ap-7699	1301	12	.	.	PUNCT
ap-7699	1302	1	3	3	X
ap-7699	1302	2	.	.	X
ap-7699	1302	3	applications	application	NOUN
ap-7699	1302	4	of	of	ADP
ap-7699	1302	5	the	the	DET
ap-7699	1302	6	covariant	covariant	PROPN
ap-7699	1302	7	theory	theory	NOUN
ap-7699	1302	8	.	.	PUNCT
ap-7699	1303	1	physical	physical	PROPN
ap-7699	1303	2	review	review	PROPN
ap-7699	1303	3	162(5):1239–1256	162(5):1239–1256	NUM
ap-7699	1303	4	,	,	PUNCT
ap-7699	1303	5	1967	1967	NUM
ap-7699	1303	6	.	.	PUNCT
ap-7699	1304	1	https://doi.org/10.1103/physrev.162.1239	https://doi.org/10.1103/physrev.162.1239	NOUN
ap-7699	1304	2	.	.	PUNCT
ap-7699	1305	1	[	[	X
ap-7699	1305	2	4	4	NUM
ap-7699	1305	3	]	]	X
ap-7699	1305	4	r.	r.	PROPN
ap-7699	1305	5	utiyama	utiyama	PROPN
ap-7699	1305	6	,	,	PUNCT
ap-7699	1305	7	b.	b.	PROPN
ap-7699	1305	8	s.	s.	PROPN
ap-7699	1305	9	dewitt	dewitt	PROPN
ap-7699	1305	10	.	.	PUNCT
ap-7699	1306	1	renormalization	renormalization	NOUN
ap-7699	1306	2	of	of	ADP
ap-7699	1306	3	a	a	DET
ap-7699	1306	4	classical	classical	ADJ
ap-7699	1306	5	gravitational	gravitational	ADJ
ap-7699	1306	6	field	field	NOUN
ap-7699	1306	7	interacting	interact	VERB
ap-7699	1306	8	with	with	ADP
ap-7699	1306	9	quantized	quantize	VERB
ap-7699	1306	10	matter	matter	NOUN
ap-7699	1306	11	fields	field	NOUN
ap-7699	1306	12	.	.	PUNCT
ap-7699	1307	1	journal	journal	PROPN
ap-7699	1307	2	of	of	ADP
ap-7699	1307	3	mathematical	mathematical	ADJ
ap-7699	1307	4	physics	physics	NOUN
ap-7699	1307	5	3(4):608	3(4):608	NUM
ap-7699	1307	6	–	–	PUNCT
ap-7699	1307	7	618	618	NUM
ap-7699	1307	8	,	,	PUNCT
ap-7699	1307	9	1962	1962	NUM
ap-7699	1307	10	.	.	PUNCT
ap-7699	1308	1	https://doi.org/10.1063/1.1724264	https://doi.org/10.1063/1.1724264	NOUN
ap-7699	1308	2	.	.	PUNCT
ap-7699	1309	1	153	153	NUM
ap-7699	1309	2	https://doi.org/10.1103/physrev.160.1113	https://doi.org/10.1103/physrev.160.1113	NOUN
ap-7699	1309	3	https://doi.org/10.1103/physrev.162.1195	https://doi.org/10.1103/physrev.162.1195	NOUN
ap-7699	1309	4	https://doi.org/10.1103/physrev.162.1239	https://doi.org/10.1103/physrev.162.1239	PROPN
ap-7699	1309	5	https://doi.org/10.1063/1.1724264	https://doi.org/10.1063/1.1724264	NOUN
ap-7699	1309	6	lesław	lesław	ADJ
ap-7699	1309	7	rachwał	rachwał	PROPN
ap-7699	1309	8	acta	acta	PROPN
ap-7699	1309	9	polytechnica	polytechnica	PROPN
ap-7699	1309	10	[	[	X
ap-7699	1309	11	5	5	NUM
ap-7699	1309	12	]	]	X
ap-7699	1309	13	n.	n.	PROPN
ap-7699	1309	14	d.	d.	PROPN
ap-7699	1309	15	birrell	birrell	PROPN
ap-7699	1309	16	,	,	PUNCT
ap-7699	1309	17	p.	p.	PROPN
ap-7699	1309	18	c.	c.	PROPN
ap-7699	1309	19	w.	w.	PROPN
ap-7699	1309	20	davies	davies	PROPN
ap-7699	1309	21	.	.	PUNCT
ap-7699	1310	1	quantum	quantum	ADJ
ap-7699	1310	2	fields	field	NOUN
ap-7699	1310	3	in	in	ADP
ap-7699	1310	4	curved	curved	ADJ
ap-7699	1310	5	space	space	NOUN
ap-7699	1310	6	.	.	PUNCT
ap-7699	1311	1	cambridge	cambridge	PROPN
ap-7699	1311	2	monographs	monograph	NOUN
ap-7699	1311	3	on	on	ADP
ap-7699	1311	4	mathematical	mathematical	ADJ
ap-7699	1311	5	physics	physics	PROPN
ap-7699	1311	6	.	.	PUNCT
ap-7699	1312	1	cambridge	cambridge	PROPN
ap-7699	1312	2	univ	univ	PROPN
ap-7699	1312	3	.	.	PUNCT
ap-7699	1313	1	press	press	PROPN
ap-7699	1313	2	,	,	PUNCT
ap-7699	1313	3	cambridge	cambridge	PROPN
ap-7699	1313	4	,	,	PUNCT
ap-7699	1313	5	uk	uk	PROPN
ap-7699	1313	6	,	,	PUNCT
ap-7699	1313	7	1984	1984	NUM
ap-7699	1313	8	.	.	PUNCT
ap-7699	1314	1	isbn	isbn	ADJ
ap-7699	1314	2	978	978	NUM
ap-7699	1314	3	-	-	SYM
ap-7699	1314	4	0	0	NUM
ap-7699	1314	5	-	-	PUNCT
ap-7699	1314	6	521	521	NUM
ap-7699	1314	7	-	-	PUNCT
ap-7699	1314	8	27858	27858	NUM
ap-7699	1314	9	-	-	SYM
ap-7699	1314	10	4	4	NUM
ap-7699	1314	11	,	,	PUNCT
ap-7699	1314	12	978	978	NUM
ap-7699	1314	13	-	-	SYM
ap-7699	1314	14	0	0	NUM
ap-7699	1314	15	-	-	PUNCT
ap-7699	1314	16	521	521	NUM
ap-7699	1314	17	-	-	PUNCT
ap-7699	1314	18	27858	27858	NUM
ap-7699	1314	19	-	-	SYM
ap-7699	1314	20	4	4	NUM
ap-7699	1314	21	,	,	PUNCT
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ap-7699	1314	23	.	.	PUNCT
ap-7699	1315	1	[	[	X
ap-7699	1315	2	6	6	NUM
ap-7699	1315	3	]	]	PUNCT
ap-7699	1315	4	i.	i.	PROPN
ap-7699	1315	5	l.	l.	PROPN
ap-7699	1315	6	buchbinder	buchbinder	PROPN
ap-7699	1315	7	,	,	PUNCT
ap-7699	1315	8	s.	s.	PROPN
ap-7699	1315	9	d.	d.	PROPN
ap-7699	1315	10	odintsov	odintsov	PROPN
ap-7699	1315	11	,	,	PUNCT
ap-7699	1315	12	i.	i.	PROPN
ap-7699	1315	13	l.	l.	PROPN
ap-7699	1315	14	shapiro	shapiro	PROPN
ap-7699	1315	15	.	.	PUNCT
ap-7699	1316	1	effective	effective	ADJ
ap-7699	1316	2	action	action	NOUN
ap-7699	1316	3	in	in	ADP
ap-7699	1316	4	quantum	quantum	ADJ
ap-7699	1316	5	gravity	gravity	NOUN
ap-7699	1316	6	.	.	PUNCT
ap-7699	1317	1	1992	1992	NUM
ap-7699	1317	2	.	.	PUNCT
ap-7699	1318	1	[	[	X
ap-7699	1318	2	7	7	X
ap-7699	1318	3	]	]	PUNCT
ap-7699	1318	4	k.	k.	PROPN
ap-7699	1318	5	s.	s.	PROPN
ap-7699	1318	6	stelle	stelle	PROPN
ap-7699	1318	7	.	.	PUNCT
ap-7699	1319	1	renormalization	renormalization	NOUN
ap-7699	1319	2	of	of	ADP
ap-7699	1319	3	higher	high	ADJ
ap-7699	1319	4	derivative	derivative	ADJ
ap-7699	1319	5	quantum	quantum	NOUN
ap-7699	1319	6	gravity	gravity	NOUN
ap-7699	1319	7	.	.	PUNCT
ap-7699	1320	1	physical	physical	ADJ
ap-7699	1320	2	review	review	PROPN
ap-7699	1320	3	d	d	PROPN
ap-7699	1320	4	16(4):953–969	16(4):953–969	NUM
ap-7699	1320	5	,	,	PUNCT
ap-7699	1320	6	1977	1977	NUM
ap-7699	1320	7	.	.	PUNCT
ap-7699	1321	1	https://doi.org/10.1103/physrevd.16.953	https://doi.org/10.1103/physrevd.16.953	NOUN
ap-7699	1321	2	.	.	PUNCT
ap-7699	1322	1	[	[	X
ap-7699	1322	2	8	8	NUM
ap-7699	1322	3	]	]	PUNCT
ap-7699	1322	4	k.	k.	PROPN
ap-7699	1322	5	s.	s.	PROPN
ap-7699	1322	6	stelle	stelle	PROPN
ap-7699	1322	7	.	.	PUNCT
ap-7699	1323	1	classical	classical	ADJ
ap-7699	1323	2	gravity	gravity	NOUN
ap-7699	1323	3	with	with	ADP
ap-7699	1323	4	higher	high	ADJ
ap-7699	1323	5	derivatives	derivative	NOUN
ap-7699	1323	6	.	.	PUNCT
ap-7699	1324	1	general	general	ADJ
ap-7699	1324	2	relativity	relativity	NOUN
ap-7699	1324	3	and	and	CCONJ
ap-7699	1324	4	gravitation	gravitation	NOUN
ap-7699	1324	5	9:353–371	9:353–371	NUM
ap-7699	1324	6	,	,	PUNCT
ap-7699	1324	7	1978	1978	NUM
ap-7699	1324	8	.	.	PUNCT
ap-7699	1325	1	https://doi.org/10.1007/bf00760427	https://doi.org/10.1007/bf00760427	X
ap-7699	1325	2	.	.	PUNCT
ap-7699	1326	1	[	[	X
ap-7699	1326	2	9	9	NUM
ap-7699	1326	3	]	]	X
ap-7699	1326	4	h.	h.	PROPN
ap-7699	1326	5	lü	lü	PROPN
ap-7699	1326	6	,	,	PUNCT
ap-7699	1326	7	a.	a.	PROPN
ap-7699	1326	8	perkins	perkins	PROPN
ap-7699	1326	9	,	,	PUNCT
ap-7699	1326	10	c.	c.	PROPN
ap-7699	1326	11	n.	n.	PROPN
ap-7699	1326	12	pope	pope	PROPN
ap-7699	1326	13	,	,	PUNCT
ap-7699	1326	14	k.	k.	PROPN
ap-7699	1326	15	s.	s.	PROPN
ap-7699	1326	16	stelle	stelle	PROPN
ap-7699	1326	17	.	.	PUNCT
ap-7699	1327	1	spherically	spherically	PROPN
ap-7699	1327	2	symmetric	symmetric	ADJ
ap-7699	1327	3	solutions	solution	NOUN
ap-7699	1327	4	in	in	ADP
ap-7699	1327	5	higher	high	ADJ
ap-7699	1327	6	-	-	PUNCT
ap-7699	1327	7	derivative	derivative	ADJ
ap-7699	1327	8	gravity	gravity	NOUN
ap-7699	1327	9	.	.	PUNCT
ap-7699	1328	1	physical	physical	ADJ
ap-7699	1328	2	review	review	PROPN
ap-7699	1328	3	d	d	PROPN
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ap-7699	1328	5	,	,	PUNCT
ap-7699	1328	6	2015	2015	NUM
ap-7699	1328	7	.	.	PUNCT
ap-7699	1329	1	https://doi.org/10.1103/physrevd.92.124019	https://doi.org/10.1103/physrevd.92.124019	PROPN
ap-7699	1329	2	.	.	PUNCT
ap-7699	1330	1	[	[	X
ap-7699	1330	2	10	10	NUM
ap-7699	1330	3	]	]	X
ap-7699	1330	4	h.	h.	PROPN
ap-7699	1330	5	lu	lu	PROPN
ap-7699	1330	6	,	,	PUNCT
ap-7699	1330	7	a.	a.	PROPN
ap-7699	1330	8	perkins	perkins	PROPN
ap-7699	1330	9	,	,	PUNCT
ap-7699	1330	10	c.	c.	PROPN
ap-7699	1330	11	n.	n.	PROPN
ap-7699	1330	12	pope	pope	PROPN
ap-7699	1330	13	,	,	PUNCT
ap-7699	1330	14	k.	k.	PROPN
ap-7699	1330	15	s.	s.	PROPN
ap-7699	1330	16	stelle	stelle	PROPN
ap-7699	1330	17	.	.	PUNCT
ap-7699	1331	1	black	black	ADJ
ap-7699	1331	2	holes	hole	NOUN
ap-7699	1331	3	in	in	ADP
ap-7699	1331	4	higher	high	ADJ
ap-7699	1331	5	-	-	PUNCT
ap-7699	1331	6	derivative	derivative	ADJ
ap-7699	1331	7	gravity	gravity	NOUN
ap-7699	1331	8	.	.	PUNCT
ap-7699	1332	1	physical	physical	ADJ
ap-7699	1332	2	review	review	NOUN
ap-7699	1332	3	letters	letter	VERB
ap-7699	1332	4	114(17):171601	114(17):171601	NUM
ap-7699	1332	5	,	,	PUNCT
ap-7699	1332	6	2015	2015	NUM
ap-7699	1332	7	.	.	PUNCT
ap-7699	1333	1	https://doi.org/10.1103/physrevlett.114.171601	https://doi.org/10.1103/physrevlett.114.171601	X
ap-7699	1333	2	.	.	PUNCT
ap-7699	1334	1	[	[	X
ap-7699	1334	2	11	11	NUM
ap-7699	1334	3	]	]	X
ap-7699	1334	4	l.	l.	PROPN
ap-7699	1334	5	modesto	modesto	PROPN
ap-7699	1334	6	.	.	PUNCT
ap-7699	1335	1	super	super	ADJ
ap-7699	1335	2	-	-	ADJ
ap-7699	1335	3	renormalizable	renormalizable	ADJ
ap-7699	1335	4	quantum	quantum	NOUN
ap-7699	1335	5	gravity	gravity	NOUN
ap-7699	1335	6	.	.	PUNCT
ap-7699	1336	1	physical	physical	ADJ
ap-7699	1336	2	review	review	PROPN
ap-7699	1336	3	d	d	PROPN
ap-7699	1336	4	86(4):044005	86(4):044005	NUM
ap-7699	1336	5	,	,	PUNCT
ap-7699	1336	6	2012	2012	NUM
ap-7699	1336	7	.	.	PUNCT
ap-7699	1337	1	https://doi.org/10.1103/physrevd.86.044005	https://doi.org/10.1103/physrevd.86.044005	X
ap-7699	1337	2	.	.	PUNCT
ap-7699	1338	1	[	[	X
ap-7699	1338	2	12	12	NUM
ap-7699	1338	3	]	]	PUNCT
ap-7699	1338	4	m.	m.	NOUN
ap-7699	1338	5	asorey	asorey	PROPN
ap-7699	1338	6	,	,	PUNCT
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ap-7699	1338	8	l.	l.	PROPN
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ap-7699	1338	11	i.	i.	PROPN
ap-7699	1338	12	l.	l.	PROPN
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ap-7699	1338	14	.	.	PUNCT
ap-7699	1339	1	some	some	DET
ap-7699	1339	2	remarks	remark	NOUN
ap-7699	1339	3	on	on	ADP
ap-7699	1339	4	high	high	ADJ
ap-7699	1339	5	derivative	derivative	ADJ
ap-7699	1339	6	quantum	quantum	NOUN
ap-7699	1339	7	gravity	gravity	NOUN
ap-7699	1339	8	.	.	PUNCT
ap-7699	1340	1	international	international	ADJ
ap-7699	1340	2	journal	journal	PROPN
ap-7699	1340	3	of	of	ADP
ap-7699	1340	4	modern	modern	ADJ
ap-7699	1340	5	physics	physic	NOUN
ap-7699	1340	6	a	a	DET
ap-7699	1340	7	12(32):5711–5734	12(32):5711–5734	NUM
ap-7699	1340	8	,	,	PUNCT
ap-7699	1340	9	1997	1997	NUM
ap-7699	1340	10	.	.	PUNCT
ap-7699	1341	1	https://doi.org/10.1142/s0217751x97002991	https://doi.org/10.1142/s0217751x97002991	PROPN
ap-7699	1341	2	.	.	PUNCT
ap-7699	1342	1	[	[	X
ap-7699	1342	2	13	13	NUM
ap-7699	1342	3	]	]	PUNCT
ap-7699	1342	4	p.	p.	PROPN
ap-7699	1342	5	d.	d.	PROPN
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ap-7699	1342	7	.	.	PUNCT
ap-7699	1343	1	making	make	VERB
ap-7699	1343	2	the	the	DET
ap-7699	1343	3	case	case	NOUN
ap-7699	1343	4	for	for	ADP
ap-7699	1343	5	conformal	conformal	ADJ
ap-7699	1343	6	gravity	gravity	NOUN
ap-7699	1343	7	.	.	PUNCT
ap-7699	1344	1	foundations	foundation	NOUN
ap-7699	1344	2	of	of	ADP
ap-7699	1344	3	physics	physics	NOUN
ap-7699	1344	4	42:388–420	42:388–420	PROPN
ap-7699	1344	5	,	,	PUNCT
ap-7699	1344	6	2012	2012	NUM
ap-7699	1344	7	.	.	PUNCT
ap-7699	1345	1	https://doi.org/10.1007/s10701-011-9608-6	https://doi.org/10.1007/s10701-011-9608-6	NUM
ap-7699	1345	2	.	.	PUNCT
ap-7699	1346	1	[	[	X
ap-7699	1346	2	14	14	NUM
ap-7699	1346	3	]	]	PUNCT
ap-7699	1346	4	p.	p.	PROPN
ap-7699	1346	5	d.	d.	PROPN
ap-7699	1346	6	mannheim	mannheim	PROPN
ap-7699	1346	7	.	.	PUNCT
ap-7699	1347	1	conformal	conformal	ADJ
ap-7699	1347	2	invariance	invariance	NOUN
ap-7699	1347	3	and	and	CCONJ
ap-7699	1347	4	the	the	DET
ap-7699	1347	5	metrication	metrication	NOUN
ap-7699	1347	6	of	of	ADP
ap-7699	1347	7	the	the	DET
ap-7699	1347	8	fundamental	fundamental	ADJ
ap-7699	1347	9	forces	force	NOUN
ap-7699	1347	10	.	.	PUNCT
ap-7699	1348	1	international	international	ADJ
ap-7699	1348	2	journal	journal	NOUN
ap-7699	1348	3	of	of	ADP
ap-7699	1348	4	modern	modern	ADJ
ap-7699	1348	5	physics	physics	PROPN
ap-7699	1348	6	d	d	PROPN
ap-7699	1348	7	25(12):1644003	25(12):1644003	PROPN
ap-7699	1348	8	,	,	PUNCT
ap-7699	1348	9	2016	2016	NUM
ap-7699	1348	10	.	.	PUNCT
ap-7699	1349	1	https://doi.org/10.1142/s021827181644003x	https://doi.org/10.1142/s021827181644003x	PROPN
ap-7699	1349	2	.	.	PUNCT
ap-7699	1350	1	[	[	X
ap-7699	1350	2	15	15	NUM
ap-7699	1350	3	]	]	X
ap-7699	1350	4	g.	g.	PROPN
ap-7699	1350	5	’	'	PUNCT
ap-7699	1350	6	t	t	PROPN
ap-7699	1350	7	hooft	hooft	PROPN
ap-7699	1350	8	,	,	PUNCT
ap-7699	1350	9	m.	m.	NOUN
ap-7699	1350	10	j.	j.	PROPN
ap-7699	1350	11	g.	g.	PROPN
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ap-7699	1350	13	.	.	PUNCT
ap-7699	1351	1	one	one	NUM
ap-7699	1351	2	loop	loop	NOUN
ap-7699	1351	3	divergencies	divergency	NOUN
ap-7699	1351	4	in	in	ADP
ap-7699	1351	5	the	the	DET
ap-7699	1351	6	theory	theory	NOUN
ap-7699	1351	7	of	of	ADP
ap-7699	1351	8	gravitation	gravitation	NOUN
ap-7699	1351	9	.	.	PUNCT
ap-7699	1352	1	annales	annales	PROPN
ap-7699	1352	2	de	de	ADP
ap-7699	1352	3	l	l	NOUN
ap-7699	1352	4	’	'	PUNCT
ap-7699	1352	5	inst	inst	NOUN
ap-7699	1352	6	h	h	PROPN
ap-7699	1352	7	poincare	poincare	PROPN
ap-7699	1352	8	physique	physique	PROPN
ap-7699	1352	9	théorique	théorique	PROPN
ap-7699	1352	10	a	a	DET
ap-7699	1352	11	20(1):69–94	20(1):69–94	NUM
ap-7699	1352	12	,	,	PUNCT
ap-7699	1352	13	1974	1974	NUM
ap-7699	1352	14	.	.	PUNCT
ap-7699	1353	1	[	[	X
ap-7699	1353	2	16	16	NUM
ap-7699	1353	3	]	]	X
ap-7699	1353	4	s.	s.	PROPN
ap-7699	1353	5	deser	deser	PROPN
ap-7699	1353	6	,	,	PUNCT
ap-7699	1353	7	p.	p.	PROPN
ap-7699	1353	8	van	van	PROPN
ap-7699	1353	9	nieuwenhuizen	nieuwenhuizen	PROPN
ap-7699	1353	10	.	.	PUNCT
ap-7699	1354	1	one	one	NUM
ap-7699	1354	2	loop	loop	NOUN
ap-7699	1354	3	divergences	divergence	NOUN
ap-7699	1354	4	of	of	ADP
ap-7699	1354	5	quantized	quantize	VERB
ap-7699	1354	6	einstein	einstein	PROPN
ap-7699	1354	7	-	-	PUNCT
ap-7699	1354	8	maxwell	maxwell	PROPN
ap-7699	1354	9	fields	field	NOUN
ap-7699	1354	10	.	.	PUNCT
ap-7699	1355	1	physical	physical	ADJ
ap-7699	1355	2	review	review	PROPN
ap-7699	1355	3	d	d	PROPN
ap-7699	1355	4	10(2):401–410	10(2):401–410	NUM
ap-7699	1355	5	,	,	PUNCT
ap-7699	1355	6	1974	1974	NUM
ap-7699	1355	7	.	.	PUNCT
ap-7699	1356	1	https://doi.org/10.1103/physrevd.10.401	https://doi.org/10.1103/physrevd.10.401	NOUN
ap-7699	1356	2	.	.	PUNCT
ap-7699	1357	1	[	[	X
ap-7699	1357	2	17	17	NUM
ap-7699	1357	3	]	]	PUNCT
ap-7699	1357	4	m.	m.	NOUN
ap-7699	1357	5	h.	h.	PROPN
ap-7699	1357	6	goroff	goroff	PROPN
ap-7699	1357	7	,	,	PUNCT
ap-7699	1357	8	a.	a.	NOUN
ap-7699	1357	9	sagnotti	sagnotti	NOUN
ap-7699	1357	10	.	.	PUNCT
ap-7699	1358	1	quantum	quantum	NOUN
ap-7699	1358	2	gravity	gravity	NOUN
ap-7699	1358	3	at	at	ADP
ap-7699	1358	4	two	two	NUM
ap-7699	1358	5	loops	loop	NOUN
ap-7699	1358	6	.	.	PUNCT
ap-7699	1359	1	physics	physics	NOUN
ap-7699	1359	2	letters	letter	NOUN
ap-7699	1359	3	b	b	PROPN
ap-7699	1359	4	160(1	160(1	NUM
ap-7699	1359	5	-	-	SYM
ap-7699	1359	6	3):81–86	3):81–86	NUM
ap-7699	1359	7	,	,	PUNCT
ap-7699	1359	8	1985	1985	NUM
ap-7699	1359	9	.	.	PUNCT
ap-7699	1360	1	https://doi.org/10.1016/0370-2693(85)91470-4	https://doi.org/10.1016/0370-2693(85)91470-4	X
ap-7699	1360	2	.	.	PUNCT
ap-7699	1361	1	[	[	X
ap-7699	1361	2	18	18	NUM
ap-7699	1361	3	]	]	PUNCT
ap-7699	1361	4	m.	m.	NOUN
ap-7699	1361	5	h.	h.	PROPN
ap-7699	1361	6	goroff	goroff	PROPN
ap-7699	1361	7	,	,	PUNCT
ap-7699	1361	8	a.	a.	NOUN
ap-7699	1361	9	sagnotti	sagnotti	NOUN
ap-7699	1361	10	.	.	PUNCT
ap-7699	1362	1	the	the	DET
ap-7699	1362	2	ultraviolet	ultraviolet	ADJ
ap-7699	1362	3	behavior	behavior	NOUN
ap-7699	1362	4	of	of	ADP
ap-7699	1362	5	einstein	einstein	PROPN
ap-7699	1362	6	gravity	gravity	NOUN
ap-7699	1362	7	.	.	PUNCT
ap-7699	1363	1	nuclear	nuclear	ADJ
ap-7699	1363	2	physics	physics	PROPN
ap-7699	1363	3	b	b	PROPN
ap-7699	1363	4	266(3	266(3	PROPN
ap-7699	1363	5	-	-	NUM
ap-7699	1363	6	4):709–736	4):709–736	NUM
ap-7699	1363	7	,	,	PUNCT
ap-7699	1363	8	1986	1986	NUM
ap-7699	1363	9	.	.	PUNCT
ap-7699	1364	1	https://doi.org/10.1016/0550-3213(86)90193-8	https://doi.org/10.1016/0550-3213(86)90193-8	NOUN
ap-7699	1364	2	.	.	PUNCT
ap-7699	1365	1	[	[	X
ap-7699	1365	2	19	19	NUM
ap-7699	1365	3	]	]	X
ap-7699	1365	4	g.	g.	PROPN
ap-7699	1365	5	’	'	PUNCT
ap-7699	1365	6	t	t	PROPN
ap-7699	1365	7	hooft	hooft	PROPN
ap-7699	1365	8	.	.	PUNCT
ap-7699	1366	1	local	local	ADJ
ap-7699	1366	2	conformal	conformal	ADJ
ap-7699	1366	3	symmetry	symmetry	NOUN
ap-7699	1366	4	:	:	PUNCT
ap-7699	1366	5	the	the	DET
ap-7699	1366	6	missing	miss	VERB
ap-7699	1366	7	symmetry	symmetry	NOUN
ap-7699	1366	8	component	component	NOUN
ap-7699	1366	9	for	for	ADP
ap-7699	1366	10	space	space	NOUN
ap-7699	1366	11	and	and	CCONJ
ap-7699	1366	12	time	time	NOUN
ap-7699	1366	13	,	,	PUNCT
ap-7699	1366	14	2014	2014	NUM
ap-7699	1366	15	.	.	PUNCT
ap-7699	1367	1	arxiv:1410.6675	arxiv:1410.6675	NOUN
ap-7699	1367	2	.	.	PUNCT
ap-7699	1368	1	[	[	X
ap-7699	1368	2	20	20	NUM
ap-7699	1368	3	]	]	X
ap-7699	1368	4	g.	g.	PROPN
ap-7699	1368	5	’	'	PUNCT
ap-7699	1368	6	t	t	PROPN
ap-7699	1368	7	hooft	hooft	PROPN
ap-7699	1368	8	.	.	PUNCT
ap-7699	1369	1	local	local	ADJ
ap-7699	1369	2	conformal	conformal	ADJ
ap-7699	1369	3	symmetry	symmetry	NOUN
ap-7699	1369	4	:	:	PUNCT
ap-7699	1369	5	the	the	DET
ap-7699	1369	6	missing	miss	VERB
ap-7699	1369	7	symmetry	symmetry	NOUN
ap-7699	1369	8	component	component	NOUN
ap-7699	1369	9	for	for	ADP
ap-7699	1369	10	space	space	NOUN
ap-7699	1369	11	and	and	CCONJ
ap-7699	1369	12	time	time	NOUN
ap-7699	1369	13	.	.	PUNCT
ap-7699	1370	1	international	international	ADJ
ap-7699	1370	2	journal	journal	NOUN
ap-7699	1370	3	of	of	ADP
ap-7699	1370	4	modern	modern	ADJ
ap-7699	1370	5	physics	physics	PROPN
ap-7699	1370	6	d	d	PROPN
ap-7699	1370	7	24(12):1543001	24(12):1543001	PROPN
ap-7699	1370	8	,	,	PUNCT
ap-7699	1370	9	2015	2015	NUM
ap-7699	1370	10	.	.	PUNCT
ap-7699	1371	1	https://doi.org/10.1142/s0218271815430014	https://doi.org/10.1142/s0218271815430014	PRON
ap-7699	1371	2	.	.	PUNCT
ap-7699	1372	1	[	[	X
ap-7699	1372	2	21	21	NUM
ap-7699	1372	3	]	]	X
ap-7699	1372	4	g.	g.	PROPN
ap-7699	1372	5	’	'	PUNCT
ap-7699	1372	6	t	t	PROPN
ap-7699	1372	7	hooft	hooft	PROPN
ap-7699	1372	8	.	.	PUNCT
ap-7699	1373	1	local	local	ADJ
ap-7699	1373	2	conformal	conformal	ADJ
ap-7699	1373	3	symmetry	symmetry	NOUN
ap-7699	1373	4	in	in	ADP
ap-7699	1373	5	black	black	ADJ
ap-7699	1373	6	holes	hole	NOUN
ap-7699	1373	7	,	,	PUNCT
ap-7699	1373	8	standard	standard	ADJ
ap-7699	1373	9	model	model	NOUN
ap-7699	1373	10	,	,	PUNCT
ap-7699	1373	11	and	and	CCONJ
ap-7699	1373	12	quantum	quantum	NOUN
ap-7699	1373	13	gravity	gravity	NOUN
ap-7699	1373	14	.	.	PUNCT
ap-7699	1374	1	international	international	ADJ
ap-7699	1374	2	journal	journal	PROPN
ap-7699	1374	3	of	of	ADP
ap-7699	1374	4	modern	modern	ADJ
ap-7699	1374	5	physics	physics	PROPN
ap-7699	1374	6	d	d	PROPN
ap-7699	1374	7	26(03):1730006	26(03):1730006	PROPN
ap-7699	1374	8	,	,	PUNCT
ap-7699	1374	9	2016	2016	NUM
ap-7699	1374	10	.	.	PUNCT
ap-7699	1375	1	https://doi.org/10.1142/s0218271817300063	https://doi.org/10.1142/s0218271817300063	NUM
ap-7699	1375	2	.	.	PUNCT
ap-7699	1376	1	[	[	X
ap-7699	1376	2	22	22	NUM
ap-7699	1376	3	]	]	PUNCT
ap-7699	1376	4	j.	j.	PROPN
ap-7699	1376	5	maldacena	maldacena	PROPN
ap-7699	1376	6	.	.	PROPN
ap-7699	1376	7	einstein	einstein	PROPN
ap-7699	1376	8	gravity	gravity	NOUN
ap-7699	1376	9	from	from	ADP
ap-7699	1376	10	conformal	conformal	ADJ
ap-7699	1376	11	gravity	gravity	NOUN
ap-7699	1376	12	,	,	PUNCT
ap-7699	1376	13	2011	2011	NUM
ap-7699	1376	14	.	.	PUNCT
ap-7699	1376	15	arxiv:1105.5632	arxiv:1105.5632	PROPN
ap-7699	1376	16	.	.	PUNCT
ap-7699	1377	1	[	[	X
ap-7699	1377	2	23	23	NUM
ap-7699	1377	3	]	]	X
ap-7699	1377	4	y.-d	y.-d	NOUN
ap-7699	1377	5	.	.	PUNCT
ap-7699	1378	1	li	li	PROPN
ap-7699	1378	2	,	,	PUNCT
ap-7699	1378	3	l.	l.	PROPN
ap-7699	1378	4	modesto	modesto	PROPN
ap-7699	1378	5	,	,	PUNCT
ap-7699	1378	6	l.	l.	PROPN
ap-7699	1378	7	rachwał	rachwał	PROPN
ap-7699	1378	8	.	.	PUNCT
ap-7699	1379	1	exact	exact	ADJ
ap-7699	1379	2	solutions	solution	NOUN
ap-7699	1379	3	and	and	CCONJ
ap-7699	1379	4	spacetime	spacetime	NOUN
ap-7699	1379	5	singularities	singularity	NOUN
ap-7699	1379	6	in	in	ADP
ap-7699	1379	7	nonlocal	nonlocal	ADJ
ap-7699	1379	8	gravity	gravity	NOUN
ap-7699	1379	9	.	.	PUNCT
ap-7699	1380	1	journal	journal	NOUN
ap-7699	1380	2	of	of	ADP
ap-7699	1380	3	high	high	ADJ
ap-7699	1380	4	energy	energy	NOUN
ap-7699	1380	5	physics	physics	NOUN
ap-7699	1380	6	2015:1–50	2015:1–50	NOUN
ap-7699	1380	7	,	,	PUNCT
ap-7699	1380	8	2015	2015	NUM
ap-7699	1380	9	.	.	PUNCT
ap-7699	1381	1	https://doi.org/10.1007/jhep12(2015)173	https://doi.org/10.1007/jhep12(2015)173	NOUN
ap-7699	1381	2	.	.	PUNCT
ap-7699	1382	1	[	[	X
ap-7699	1382	2	24	24	NUM
ap-7699	1382	3	]	]	X
ap-7699	1382	4	i.	i.	PROPN
ap-7699	1382	5	l.	l.	PROPN
ap-7699	1382	6	buchbinder	buchbinder	PROPN
ap-7699	1382	7	,	,	PUNCT
ap-7699	1382	8	o.	o.	PROPN
ap-7699	1382	9	k.	k.	PROPN
ap-7699	1382	10	kalashnikov	kalashnikov	PROPN
ap-7699	1382	11	,	,	PUNCT
ap-7699	1382	12	i.	i.	PROPN
ap-7699	1382	13	l.	l.	PROPN
ap-7699	1382	14	shapiro	shapiro	PROPN
ap-7699	1382	15	,	,	PUNCT
ap-7699	1382	16	et	et	PROPN
ap-7699	1382	17	al	al	PROPN
ap-7699	1382	18	.	.	PUNCT
ap-7699	1383	1	the	the	DET
ap-7699	1383	2	stability	stability	NOUN
ap-7699	1383	3	of	of	ADP
ap-7699	1383	4	asymptotic	asymptotic	ADJ
ap-7699	1383	5	freedom	freedom	NOUN
ap-7699	1383	6	in	in	ADP
ap-7699	1383	7	grand	grand	ADJ
ap-7699	1383	8	unified	unified	ADJ
ap-7699	1383	9	models	model	NOUN
ap-7699	1383	10	coupled	couple	VERB
ap-7699	1383	11	to	to	ADP
ap-7699	1383	12	r2	r2	PROPN
ap-7699	1383	13	gravity	gravity	NOUN
ap-7699	1383	14	.	.	PUNCT
ap-7699	1384	1	physics	physics	NOUN
ap-7699	1384	2	letters	letter	NOUN
ap-7699	1384	3	b	b	PROPN
ap-7699	1384	4	216(1	216(1	NUM
ap-7699	1384	5	-	-	SYM
ap-7699	1384	6	2):127–132	2):127–132	NUM
ap-7699	1384	7	,	,	PUNCT
ap-7699	1384	8	1989	1989	NUM
ap-7699	1384	9	.	.	PUNCT
ap-7699	1385	1	https://doi.org/10.1016/0370-2693(89)91381-6	https://doi.org/10.1016/0370-2693(89)91381-6	X
ap-7699	1385	2	.	.	PUNCT
ap-7699	1386	1	[	[	X
ap-7699	1386	2	25	25	NUM
ap-7699	1386	3	]	]	PUNCT
ap-7699	1386	4	i.	i.	PROPN
ap-7699	1386	5	l.	l.	PROPN
ap-7699	1386	6	buchbinder	buchbinder	PROPN
ap-7699	1386	7	,	,	PUNCT
ap-7699	1386	8	i.	i.	PROPN
ap-7699	1386	9	shapiro	shapiro	PROPN
ap-7699	1386	10	.	.	PUNCT
ap-7699	1387	1	introduction	introduction	NOUN
ap-7699	1387	2	to	to	ADP
ap-7699	1387	3	quantum	quantum	ADJ
ap-7699	1387	4	field	field	NOUN
ap-7699	1387	5	theory	theory	NOUN
ap-7699	1387	6	with	with	ADP
ap-7699	1387	7	applications	application	NOUN
ap-7699	1387	8	to	to	ADP
ap-7699	1387	9	quantum	quantum	ADJ
ap-7699	1387	10	gravity	gravity	NOUN
ap-7699	1387	11	.	.	PUNCT
ap-7699	1388	1	oxford	oxford	ADJ
ap-7699	1388	2	graduate	graduate	NOUN
ap-7699	1388	3	texts	text	NOUN
ap-7699	1388	4	.	.	PUNCT
ap-7699	1389	1	oxford	oxford	PROPN
ap-7699	1389	2	university	university	PROPN
ap-7699	1389	3	press	press	NOUN
ap-7699	1389	4	,	,	PUNCT
ap-7699	1389	5	2021	2021	NUM
ap-7699	1389	6	.	.	PUNCT
ap-7699	1390	1	[	[	X
ap-7699	1390	2	26	26	NUM
ap-7699	1390	3	]	]	X
ap-7699	1390	4	l.	l.	PROPN
ap-7699	1390	5	rachwał	rachwał	PROPN
ap-7699	1390	6	,	,	PUNCT
ap-7699	1390	7	l.	l.	PROPN
ap-7699	1390	8	modesto	modesto	PROPN
ap-7699	1390	9	,	,	PUNCT
ap-7699	1390	10	a.	a.	NOUN
ap-7699	1390	11	pinzul	pinzul	NOUN
ap-7699	1390	12	,	,	PUNCT
ap-7699	1390	13	i.	i.	PROPN
ap-7699	1390	14	l.	l.	PROPN
ap-7699	1390	15	shapiro	shapiro	PROPN
ap-7699	1390	16	.	.	PUNCT
ap-7699	1391	1	renormalization	renormalization	NOUN
ap-7699	1391	2	group	group	NOUN
ap-7699	1391	3	in	in	ADP
ap-7699	1391	4	six	six	NUM
ap-7699	1391	5	-	-	PUNCT
ap-7699	1391	6	derivative	derivative	ADJ
ap-7699	1391	7	quantum	quantum	NOUN
ap-7699	1391	8	gravity	gravity	NOUN
ap-7699	1391	9	.	.	PUNCT
ap-7699	1392	1	physical	physical	ADJ
ap-7699	1392	2	review	review	PROPN
ap-7699	1393	1	d	d	PROPN
ap-7699	1393	2	104(8):085018	104(8):085018	NOUN
ap-7699	1393	3	,	,	PUNCT
ap-7699	1393	4	2021	2021	NUM
ap-7699	1393	5	.	.	PUNCT
ap-7699	1394	1	https://doi.org/10.1103/physrevd.104.085018	https://doi.org/10.1103/physrevd.104.085018	ADP
ap-7699	1394	2	.	.	PUNCT
ap-7699	1395	1	[	[	X
ap-7699	1395	2	27	27	NUM
ap-7699	1395	3	]	]	PUNCT
ap-7699	1395	4	a.	a.	NOUN
ap-7699	1395	5	o.	o.	PROPN
ap-7699	1395	6	barvinsky	barvinsky	PROPN
ap-7699	1395	7	,	,	PUNCT
ap-7699	1395	8	g.	g.	PROPN
ap-7699	1395	9	a.	a.	PROPN
ap-7699	1395	10	vilkovisky	vilkovisky	PROPN
ap-7699	1395	11	.	.	PUNCT
ap-7699	1396	1	the	the	DET
ap-7699	1396	2	generalized	generalized	ADJ
ap-7699	1396	3	schwinger	schwinger	NOUN
ap-7699	1396	4	-	-	PUNCT
ap-7699	1396	5	dewitt	dewitt	PROPN
ap-7699	1396	6	technique	technique	NOUN
ap-7699	1396	7	in	in	ADP
ap-7699	1396	8	gauge	gauge	NOUN
ap-7699	1396	9	theories	theory	NOUN
ap-7699	1396	10	and	and	CCONJ
ap-7699	1396	11	quantum	quantum	NOUN
ap-7699	1396	12	gravity	gravity	NOUN
ap-7699	1396	13	.	.	PUNCT
ap-7699	1397	1	physics	physics	NOUN
ap-7699	1397	2	reports	report	VERB
ap-7699	1397	3	119(1):1–74	119(1):1–74	NUM
ap-7699	1397	4	,	,	PUNCT
ap-7699	1397	5	1985	1985	NUM
ap-7699	1397	6	.	.	PUNCT
ap-7699	1398	1	https://doi.org/10.1016/0370-1573(85)90148-6	https://doi.org/10.1016/0370-1573(85)90148-6	NOUN
ap-7699	1398	2	.	.	PUNCT
ap-7699	1399	1	[	[	X
ap-7699	1399	2	28	28	NUM
ap-7699	1399	3	]	]	X
ap-7699	1399	4	r.	r.	PROPN
ap-7699	1399	5	mistry	mistry	PROPN
ap-7699	1399	6	,	,	PUNCT
ap-7699	1399	7	a.	a.	NOUN
ap-7699	1399	8	pinzul	pinzul	PROPN
ap-7699	1399	9	,	,	PUNCT
ap-7699	1399	10	l.	l.	PROPN
ap-7699	1399	11	rachwał	rachwał	PROPN
ap-7699	1399	12	.	.	PUNCT
ap-7699	1400	1	spectral	spectral	ADJ
ap-7699	1400	2	action	action	NOUN
ap-7699	1400	3	approach	approach	NOUN
ap-7699	1400	4	to	to	ADP
ap-7699	1400	5	higher	high	ADJ
ap-7699	1400	6	derivative	derivative	ADJ
ap-7699	1400	7	gravity	gravity	NOUN
ap-7699	1400	8	.	.	PUNCT
ap-7699	1401	1	the	the	DET
ap-7699	1401	2	european	european	PROPN
ap-7699	1401	3	physical	physical	PROPN
ap-7699	1401	4	journal	journal	PROPN
ap-7699	1401	5	c	c	PROPN
ap-7699	1401	6	80(3):266	80(3):266	NUM
ap-7699	1401	7	,	,	PUNCT
ap-7699	1401	8	2020	2020	NUM
ap-7699	1401	9	.	.	PUNCT
ap-7699	1402	1	https://doi.org/10.1140/epjc/s10052-020-7805-1	https://doi.org/10.1140/epjc/s10052-020-7805-1	NOUN
ap-7699	1402	2	.	.	PUNCT
ap-7699	1403	1	[	[	X
ap-7699	1403	2	29	29	NUM
ap-7699	1403	3	]	]	X
ap-7699	1403	4	l.	l.	PROPN
ap-7699	1403	5	modesto	modesto	PROPN
ap-7699	1403	6	,	,	PUNCT
ap-7699	1403	7	l.	l.	PROPN
ap-7699	1403	8	rachwal	rachwal	PROPN
ap-7699	1403	9	.	.	PUNCT
ap-7699	1404	1	super	super	ADJ
ap-7699	1404	2	-	-	NOUN
ap-7699	1404	3	renormalizable	renormalizable	ADJ
ap-7699	1404	4	and	and	CCONJ
ap-7699	1404	5	finite	finite	ADJ
ap-7699	1404	6	gravitational	gravitational	ADJ
ap-7699	1404	7	theories	theory	NOUN
ap-7699	1404	8	.	.	PUNCT
ap-7699	1405	1	nuclear	nuclear	ADJ
ap-7699	1405	2	physics	physics	PROPN
ap-7699	1405	3	b	b	PROPN
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ap-7699	1405	5	,	,	PUNCT
ap-7699	1405	6	2014	2014	NUM
ap-7699	1405	7	.	.	PUNCT
ap-7699	1406	1	https://doi.org/10.1016/j.nuclphysb.2014.10.015	https://doi.org/10.1016/j.nuclphysb.2014.10.015	X
ap-7699	1406	2	.	.	PUNCT
ap-7699	1407	1	[	[	X
ap-7699	1407	2	30	30	NUM
ap-7699	1407	3	]	]	X
ap-7699	1407	4	l.	l.	PROPN
ap-7699	1407	5	modesto	modesto	PROPN
ap-7699	1407	6	,	,	PUNCT
ap-7699	1407	7	m.	m.	NOUN
ap-7699	1407	8	piva	piva	PROPN
ap-7699	1407	9	,	,	PUNCT
ap-7699	1407	10	l.	l.	PROPN
ap-7699	1407	11	rachwal	rachwal	PROPN
ap-7699	1407	12	.	.	PUNCT
ap-7699	1408	1	finite	finite	ADJ
ap-7699	1408	2	quantum	quantum	PROPN
ap-7699	1408	3	gauge	gauge	NOUN
ap-7699	1408	4	theories	theory	NOUN
ap-7699	1408	5	.	.	PUNCT
ap-7699	1409	1	physical	physical	ADJ
ap-7699	1409	2	review	review	PROPN
ap-7699	1410	1	d	d	PROPN
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ap-7699	1410	3	,	,	PUNCT
ap-7699	1410	4	2016	2016	NUM
ap-7699	1410	5	.	.	PUNCT
ap-7699	1411	1	https://doi.org/10.1103/physrevd.94.025021	https://doi.org/10.1103/physrevd.94.025021	INTJ
ap-7699	1411	2	.	.	PUNCT
ap-7699	1412	1	[	[	X
ap-7699	1412	2	31	31	NUM
ap-7699	1412	3	]	]	PUNCT
ap-7699	1412	4	a.	a.	PROPN
ap-7699	1412	5	s.	s.	PROPN
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ap-7699	1412	7	,	,	PUNCT
ap-7699	1412	8	k.	k.	PROPN
ap-7699	1412	9	sravan	sravan	PROPN
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ap-7699	1412	11	,	,	PUNCT
ap-7699	1412	12	l.	l.	PROPN
ap-7699	1412	13	modesto	modesto	PROPN
ap-7699	1412	14	,	,	PUNCT
ap-7699	1412	15	l.	l.	PROPN
ap-7699	1412	16	rachwał	rachwał	PROPN
ap-7699	1412	17	.	.	PUNCT
ap-7699	1413	1	finite	finite	VERB
ap-7699	1413	2	quantum	quantum	ADJ
ap-7699	1413	3	gravity	gravity	NOUN
ap-7699	1413	4	in	in	ADP
ap-7699	1413	5	ds	ds	ADJ
ap-7699	1413	6	and	and	CCONJ
ap-7699	1413	7	ads	ad	NOUN
ap-7699	1413	8	spacetimes	spacetime	NOUN
ap-7699	1413	9	.	.	PUNCT
ap-7699	1414	1	physical	physical	ADJ
ap-7699	1414	2	review	review	PROPN
ap-7699	1414	3	d	d	PROPN
ap-7699	1414	4	98(4):046007	98(4):046007	NUM
ap-7699	1414	5	,	,	PUNCT
ap-7699	1414	6	2018	2018	NUM
ap-7699	1414	7	.	.	PUNCT
ap-7699	1415	1	https://doi.org/10.1103/physrevd.98.046007	https://doi.org/10.1103/physrevd.98.046007	NOUN
ap-7699	1415	2	.	.	PUNCT
ap-7699	1416	1	[	[	X
ap-7699	1416	2	32	32	NUM
ap-7699	1416	3	]	]	PUNCT
ap-7699	1416	4	l.	l.	PROPN
ap-7699	1416	5	modesto	modesto	PROPN
ap-7699	1416	6	,	,	PUNCT
ap-7699	1416	7	l.	l.	PROPN
ap-7699	1416	8	rachwał	rachwał	PROPN
ap-7699	1416	9	.	.	PUNCT
ap-7699	1417	1	nonlocal	nonlocal	ADJ
ap-7699	1417	2	quantum	quantum	ADJ
ap-7699	1417	3	gravity	gravity	NOUN
ap-7699	1417	4	:	:	PUNCT
ap-7699	1417	5	a	a	DET
ap-7699	1417	6	review	review	NOUN
ap-7699	1417	7	.	.	PUNCT
ap-7699	1418	1	international	international	ADJ
ap-7699	1418	2	journal	journal	NOUN
ap-7699	1418	3	of	of	ADP
ap-7699	1418	4	modern	modern	ADJ
ap-7699	1418	5	physics	physics	PROPN
ap-7699	1418	6	d	d	PROPN
ap-7699	1418	7	26(11):1730020	26(11):1730020	PROPN
ap-7699	1418	8	,	,	PUNCT
ap-7699	1418	9	2017	2017	NUM
ap-7699	1418	10	.	.	PUNCT
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ap-7699	1419	2	.	.	PUNCT
ap-7699	1420	1	[	[	X
ap-7699	1420	2	33	33	NUM
ap-7699	1420	3	]	]	PUNCT
ap-7699	1420	4	l.	l.	PROPN
ap-7699	1420	5	modesto	modesto	PROPN
ap-7699	1420	6	,	,	PUNCT
ap-7699	1420	7	l.	l.	PROPN
ap-7699	1420	8	rachwał	rachwał	PROPN
ap-7699	1420	9	.	.	PUNCT
ap-7699	1421	1	universally	universally	ADV
ap-7699	1421	2	finite	finite	VERB
ap-7699	1421	3	gravitational	gravitational	ADJ
ap-7699	1421	4	and	and	CCONJ
ap-7699	1421	5	gauge	gauge	NOUN
ap-7699	1421	6	theories	theory	NOUN
ap-7699	1421	7	.	.	PUNCT
ap-7699	1422	1	nuclear	nuclear	ADJ
ap-7699	1422	2	physics	physics	PROPN
ap-7699	1422	3	b	b	PROPN
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ap-7699	1422	5	,	,	PUNCT
ap-7699	1422	6	2015	2015	NUM
ap-7699	1422	7	.	.	PUNCT
ap-7699	1423	1	https://doi.org/10.1016/j.nuclphysb.2015.09.006	https://doi.org/10.1016/j.nuclphysb.2015.09.006	NUM
ap-7699	1423	2	.	.	PUNCT
ap-7699	1424	1	[	[	X
ap-7699	1424	2	34	34	NUM
ap-7699	1424	3	]	]	X
ap-7699	1424	4	l.	l.	PROPN
ap-7699	1424	5	modesto	modesto	PROPN
ap-7699	1424	6	,	,	PUNCT
ap-7699	1424	7	l.	l.	PROPN
ap-7699	1424	8	rachwal	rachwal	PROPN
ap-7699	1424	9	.	.	PUNCT
ap-7699	1425	1	finite	finite	PROPN
ap-7699	1425	2	conformal	conformal	ADJ
ap-7699	1425	3	quantum	quantum	NOUN
ap-7699	1425	4	gravity	gravity	NOUN
ap-7699	1425	5	and	and	CCONJ
ap-7699	1425	6	nonsingular	nonsingular	ADJ
ap-7699	1425	7	spacetimes	spacetime	NOUN
ap-7699	1425	8	,	,	PUNCT
ap-7699	1425	9	2016	2016	NUM
ap-7699	1425	10	.	.	PUNCT
ap-7699	1426	1	arxiv:1605.04173	arxiv:1605.04173	PROPN
ap-7699	1426	2	.	.	PUNCT
ap-7699	1427	1	[	[	X
ap-7699	1427	2	35	35	NUM
ap-7699	1427	3	]	]	X
ap-7699	1427	4	l.	l.	PROPN
ap-7699	1427	5	modesto	modesto	PROPN
ap-7699	1427	6	,	,	PUNCT
ap-7699	1427	7	l.	l.	PROPN
ap-7699	1427	8	rachwał	rachwał	PROPN
ap-7699	1427	9	.	.	PUNCT
ap-7699	1428	1	finite	finite	VERB
ap-7699	1428	2	quantum	quantum	ADJ
ap-7699	1428	3	gravity	gravity	NOUN
ap-7699	1428	4	in	in	ADP
ap-7699	1428	5	four	four	NUM
ap-7699	1428	6	and	and	CCONJ
ap-7699	1428	7	extra	extra	ADJ
ap-7699	1428	8	dimensions	dimension	NOUN
ap-7699	1428	9	.	.	PUNCT
ap-7699	1429	1	in	in	ADP
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ap-7699	1429	5	meeting	meet	VERB
ap-7699	1429	6	on	on	ADP
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ap-7699	1429	9	in	in	ADP
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ap-7699	1429	15	,	,	PUNCT
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ap-7699	1429	17	,	,	PUNCT
ap-7699	1429	18	and	and	CCONJ
ap-7699	1429	19	relativistic	relativistic	ADJ
ap-7699	1429	20	field	field	NOUN
ap-7699	1429	21	theories	theory	NOUN
ap-7699	1429	22	,	,	PUNCT
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ap-7699	1429	24	.	.	PROPN
ap-7699	1429	25	2	2	NUM
ap-7699	1429	26	,	,	PUNCT
ap-7699	1429	27	pp	pp	ADJ
ap-7699	1429	28	.	.	PUNCT
ap-7699	1429	29	1196–1203	1196–1203	NUM
ap-7699	1429	30	.	.	PUNCT
ap-7699	1429	31	2017	2017	NUM
ap-7699	1429	32	.	.	PUNCT
ap-7699	1430	1	https://doi.org/10.1142/9789813226609_0084	https://doi.org/10.1142/9789813226609_0084	PROPN
ap-7699	1430	2	.	.	PUNCT
ap-7699	1431	1	[	[	X
ap-7699	1431	2	36	36	NUM
ap-7699	1431	3	]	]	X
ap-7699	1431	4	r.	r.	PROPN
ap-7699	1431	5	e.	e.	PROPN
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ap-7699	1431	9	v.	v.	PROPN
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ap-7699	1431	13	v.	v.	PROPN
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ap-7699	1431	15	.	.	PUNCT
ap-7699	1432	1	one	one	NUM
ap-7699	1432	2	loop	loop	NOUN
ap-7699	1432	3	finiteness	finiteness	NOUN
ap-7699	1432	4	of	of	ADP
ap-7699	1432	5	quantum	quantum	ADJ
ap-7699	1432	6	gravity	gravity	NOUN
ap-7699	1432	7	off	off	ADP
ap-7699	1432	8	mass	mass	ADJ
ap-7699	1432	9	shell	shell	NOUN
ap-7699	1432	10	.	.	PUNCT
ap-7699	1433	1	nuclear	nuclear	ADJ
ap-7699	1433	2	physics	physics	PROPN
ap-7699	1433	3	b	b	PROPN
ap-7699	1433	4	137(1	137(1	NUM
ap-7699	1433	5	-	-	SYM
ap-7699	1433	6	2):145–163	2):145–163	NUM
ap-7699	1433	7	,	,	PUNCT
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ap-7699	1433	9	.	.	PUNCT
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ap-7699	1437	9	https://doi.org/10.1016/0370-2693(89)91381-6	https://doi.org/10.1016/0370-2693(89)91381-6	X
ap-7699	1438	1	https://doi.org/10.1103/physrevd.104.085018	https://doi.org/10.1103/physrevd.104.085018	ADP
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ap-7699	1439	3	.	.	PUNCT
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ap-7699	1440	2	beta	beta	NOUN
ap-7699	1440	3	functions	function	NOUN
ap-7699	1440	4	in	in	ADP
ap-7699	1440	5	six	six	NUM
ap-7699	1440	6	-	-	PUNCT
ap-7699	1440	7	derivative	derivative	ADJ
ap-7699	1440	8	quantum	quantum	NOUN
ap-7699	1440	9	gravity	gravity	NOUN
ap-7699	1440	10	[	[	X
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ap-7699	1440	12	]	]	PUNCT
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ap-7699	1441	4	dependencies	dependency	NOUN
ap-7699	1441	5	of	of	ADP
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ap-7699	1441	7	one	one	NUM
ap-7699	1441	8	loop	loop	NOUN
ap-7699	1441	9	counterterms	counterterm	NOUN
ap-7699	1441	10	in	in	ADP
ap-7699	1441	11	the	the	DET
ap-7699	1441	12	einstein	einstein	NOUN
ap-7699	1441	13	gravity	gravity	NOUN
ap-7699	1441	14	.	.	PUNCT
ap-7699	1442	1	classical	classical	ADJ
ap-7699	1442	2	and	and	CCONJ
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ap-7699	1442	4	gravity	gravity	NOUN
ap-7699	1442	5	12(6):1401–1412	12(6):1401–1412	NUM
ap-7699	1442	6	,	,	PUNCT
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ap-7699	1442	8	.	.	PUNCT
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ap-7699	1443	2	.	.	PUNCT
ap-7699	1444	1	[	[	X
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ap-7699	1444	5	l.	l.	PROPN
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ap-7699	1445	6	quantum	quantum	NOUN
ap-7699	1445	7	gravity	gravity	NOUN
ap-7699	1445	8	and	and	CCONJ
ap-7699	1445	9	the	the	DET
ap-7699	1445	10	conformal	conformal	ADJ
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ap-7699	1446	1	physics	physics	NOUN
ap-7699	1446	2	letters	letter	NOUN
ap-7699	1446	3	b	b	PROPN
ap-7699	1446	4	324(3	324(3	NUM
ap-7699	1446	5	-	-	SYM
ap-7699	1446	6	4):286–292	4):286–292	NUM
ap-7699	1446	7	,	,	PUNCT
ap-7699	1446	8	1994	1994	NUM
ap-7699	1446	9	.	.	PUNCT
ap-7699	1447	1	https://doi.org/10.1016/0370-2693(94)90195-3	https://doi.org/10.1016/0370-2693(94)90195-3	PROPN
ap-7699	1447	2	.	.	PUNCT
ap-7699	1448	1	[	[	X
ap-7699	1448	2	39	39	NUM
ap-7699	1448	3	]	]	PUNCT
ap-7699	1448	4	i.	i.	PROPN
ap-7699	1448	5	a.	a.	PROPN
ap-7699	1448	6	batalin	batalin	PROPN
ap-7699	1448	7	,	,	PUNCT
ap-7699	1448	8	g.	g.	PROPN
ap-7699	1448	9	a.	a.	PROPN
ap-7699	1448	10	vilkovisky	vilkovisky	PROPN
ap-7699	1448	11	.	.	PUNCT
ap-7699	1449	1	quantization	quantization	NOUN
ap-7699	1449	2	of	of	ADP
ap-7699	1449	3	gauge	gauge	NOUN
ap-7699	1449	4	theories	theory	NOUN
ap-7699	1449	5	with	with	ADP
ap-7699	1449	6	linearly	linearly	ADV
ap-7699	1449	7	dependent	dependent	ADJ
ap-7699	1449	8	generators	generator	NOUN
ap-7699	1449	9	.	.	PUNCT
ap-7699	1450	1	physical	physical	ADJ
ap-7699	1450	2	review	review	PROPN
ap-7699	1450	3	d	d	PROPN
ap-7699	1450	4	28(10):2567–2582	28(10):2567–2582	NUM
ap-7699	1450	5	,	,	PUNCT
ap-7699	1450	6	1983	1983	NUM
ap-7699	1450	7	.	.	PUNCT
ap-7699	1451	1	[	[	X
ap-7699	1451	2	erratum	erratum	NOUN
ap-7699	1451	3	:	:	PUNCT
ap-7699	1451	4	phys.rev.d	phys.rev.d	ADJ
ap-7699	1451	5	30	30	NUM
ap-7699	1451	6	,	,	PUNCT
ap-7699	1451	7	508	508	NUM
ap-7699	1451	8	(	(	PUNCT
ap-7699	1451	9	1984	1984	NUM
ap-7699	1451	10	)	)	PUNCT
ap-7699	1451	11	]	]	PUNCT
ap-7699	1451	12	,	,	PUNCT
ap-7699	1451	13	https://doi.org/10.1103/physrevd.28.2567	https://doi.org/10.1103/physrevd.28.2567	NOUN
ap-7699	1451	14	.	.	PUNCT
ap-7699	1452	1	[	[	X
ap-7699	1452	2	40	40	NUM
ap-7699	1452	3	]	]	PUNCT
ap-7699	1452	4	i.	i.	PROPN
ap-7699	1452	5	a.	a.	PROPN
ap-7699	1452	6	batalin	batalin	PROPN
ap-7699	1452	7	,	,	PUNCT
ap-7699	1452	8	g.	g.	PROPN
ap-7699	1452	9	a.	a.	PROPN
ap-7699	1452	10	vilkovisky	vilkovisky	PROPN
ap-7699	1452	11	.	.	PUNCT
ap-7699	1453	1	gauge	gauge	NOUN
ap-7699	1453	2	algebra	algebra	NOUN
ap-7699	1453	3	and	and	CCONJ
ap-7699	1453	4	quantization	quantization	NOUN
ap-7699	1453	5	.	.	PUNCT
ap-7699	1454	1	physics	physics	NOUN
ap-7699	1454	2	letters	letters	PROPN
ap-7699	1454	3	b	b	PROPN
ap-7699	1454	4	102(1):27–31	102(1):27–31	NUM
ap-7699	1454	5	,	,	PUNCT
ap-7699	1454	6	1981	1981	NUM
ap-7699	1454	7	.	.	PUNCT
ap-7699	1455	1	https://doi.org/10.1016/0370-2693(81)90205-7	https://doi.org/10.1016/0370-2693(81)90205-7	NOUN
ap-7699	1455	2	.	.	PUNCT
ap-7699	1456	1	[	[	X
ap-7699	1456	2	41	41	NUM
ap-7699	1456	3	]	]	X
ap-7699	1456	4	e.	e.	PROPN
ap-7699	1456	5	s.	s.	PROPN
ap-7699	1456	6	fradkin	fradkin	PROPN
ap-7699	1456	7	,	,	PUNCT
ap-7699	1456	8	a.	a.	PROPN
ap-7699	1456	9	a.	a.	PROPN
ap-7699	1456	10	tseytlin	tseytlin	PROPN
ap-7699	1456	11	.	.	PUNCT
ap-7699	1457	1	renormalizable	renormalizable	ADJ
ap-7699	1457	2	asymptotically	asymptotically	ADV
ap-7699	1457	3	free	free	ADJ
ap-7699	1457	4	quantum	quantum	NOUN
ap-7699	1457	5	theory	theory	NOUN
ap-7699	1457	6	of	of	ADP
ap-7699	1457	7	gravity	gravity	NOUN
ap-7699	1457	8	.	.	PUNCT
ap-7699	1458	1	nuclear	nuclear	ADJ
ap-7699	1458	2	physics	physics	PROPN
ap-7699	1458	3	b	b	PROPN
ap-7699	1458	4	201(3):469–491	201(3):469–491	NUM
ap-7699	1458	5	,	,	PUNCT
ap-7699	1458	6	1982	1982	NUM
ap-7699	1458	7	.	.	PUNCT
ap-7699	1459	1	https://doi.org/10.1016/0550-3213(82)90444-8	https://doi.org/10.1016/0550-3213(82)90444-8	NOUN
ap-7699	1459	2	.	.	PUNCT
ap-7699	1460	1	[	[	X
ap-7699	1460	2	42	42	NUM
ap-7699	1460	3	]	]	X
ap-7699	1460	4	i.	i.	PROPN
ap-7699	1460	5	g.	g.	PROPN
ap-7699	1460	6	avramidi	avramidi	PROPN
ap-7699	1460	7	,	,	PUNCT
ap-7699	1460	8	a.	a.	NOUN
ap-7699	1460	9	o.	o.	PROPN
ap-7699	1460	10	barvinsky	barvinsky	PROPN
ap-7699	1460	11	.	.	PUNCT
ap-7699	1461	1	asymptotic	asymptotic	ADJ
ap-7699	1461	2	freedom	freedom	NOUN
ap-7699	1461	3	in	in	ADP
ap-7699	1461	4	higher	high	ADJ
ap-7699	1461	5	derivative	derivative	ADJ
ap-7699	1461	6	quantum	quantum	NOUN
ap-7699	1461	7	gravity	gravity	NOUN
ap-7699	1461	8	.	.	PUNCT
ap-7699	1462	1	physics	physics	NOUN
ap-7699	1462	2	letters	letter	NOUN
ap-7699	1462	3	b	b	PROPN
ap-7699	1462	4	159(4	159(4	NUM
ap-7699	1462	5	-	-	SYM
ap-7699	1462	6	6):269–274	6):269–274	NUM
ap-7699	1462	7	,	,	PUNCT
ap-7699	1462	8	1985	1985	NUM
ap-7699	1462	9	.	.	PUNCT
ap-7699	1463	1	https://doi.org/10.1016/0370-2693(85)90248-5	https://doi.org/10.1016/0370-2693(85)90248-5	PROPN
ap-7699	1463	2	.	.	PUNCT
ap-7699	1464	1	[	[	X
ap-7699	1464	2	43	43	NUM
ap-7699	1464	3	]	]	X
ap-7699	1464	4	l.	l.	PROPN
ap-7699	1464	5	s.	s.	PROPN
ap-7699	1464	6	brown	brown	PROPN
ap-7699	1464	7	,	,	PUNCT
ap-7699	1464	8	j.	j.	PROPN
ap-7699	1464	9	p.	p.	PROPN
ap-7699	1464	10	cassidy	cassidy	PROPN
ap-7699	1464	11	.	.	PROPN
ap-7699	1465	1	stress	stress	PROPN
ap-7699	1465	2	tensor	tensor	NOUN
ap-7699	1465	3	trace	trace	NOUN
ap-7699	1465	4	anomaly	anomaly	NOUN
ap-7699	1465	5	in	in	ADP
ap-7699	1465	6	a	a	DET
ap-7699	1465	7	gravitational	gravitational	ADJ
ap-7699	1465	8	metric	metric	NOUN
ap-7699	1465	9	:	:	PUNCT
ap-7699	1465	10	general	general	ADJ
ap-7699	1465	11	theory	theory	NOUN
ap-7699	1465	12	,	,	PUNCT
ap-7699	1465	13	maxwell	maxwell	PROPN
ap-7699	1465	14	field	field	PROPN
ap-7699	1465	15	.	.	PUNCT
ap-7699	1466	1	physical	physical	ADJ
ap-7699	1466	2	review	review	PROPN
ap-7699	1466	3	d	d	PROPN
ap-7699	1466	4	15(10):2810–2829	15(10):2810–2829	PROPN
ap-7699	1466	5	,	,	PUNCT
ap-7699	1466	6	1977	1977	NUM
ap-7699	1466	7	.	.	PUNCT
ap-7699	1467	1	https://doi.org/10.1103/physrevd.15.2810	https://doi.org/10.1103/physrevd.15.2810	NOUN
ap-7699	1467	2	.	.	PUNCT
ap-7699	1468	1	[	[	X
ap-7699	1468	2	44	44	NUM
ap-7699	1468	3	]	]	PUNCT
ap-7699	1468	4	l.	l.	PROPN
ap-7699	1468	5	modesto	modesto	PROPN
ap-7699	1468	6	,	,	PUNCT
ap-7699	1468	7	l.	l.	PROPN
ap-7699	1468	8	rachwał	rachwał	PROPN
ap-7699	1468	9	,	,	PUNCT
ap-7699	1468	10	i.	i.	PROPN
ap-7699	1468	11	l.	l.	PROPN
ap-7699	1468	12	shapiro	shapiro	PROPN
ap-7699	1468	13	.	.	PUNCT
ap-7699	1469	1	renormalization	renormalization	NOUN
ap-7699	1469	2	group	group	NOUN
ap-7699	1469	3	in	in	ADP
ap-7699	1469	4	super	super	ADJ
ap-7699	1469	5	-	-	ADJ
ap-7699	1469	6	renormalizable	renormalizable	ADJ
ap-7699	1469	7	quantum	quantum	ADJ
ap-7699	1469	8	gravity	gravity	NOUN
ap-7699	1469	9	.	.	PUNCT
ap-7699	1470	1	the	the	DET
ap-7699	1470	2	european	european	PROPN
ap-7699	1470	3	physical	physical	PROPN
ap-7699	1470	4	journal	journal	PROPN
ap-7699	1470	5	c	c	PROPN
ap-7699	1470	6	78(7):555	78(7):555	PROPN
ap-7699	1470	7	,	,	PUNCT
ap-7699	1470	8	2018	2018	NUM
ap-7699	1470	9	.	.	PUNCT
ap-7699	1471	1	https://doi.org/10.1140/epjc/s10052-018-6035-2	https://doi.org/10.1140/epjc/s10052-018-6035-2	PROPN
ap-7699	1471	2	.	.	PUNCT
ap-7699	1472	1	[	[	X
ap-7699	1472	2	45	45	NUM
ap-7699	1472	3	]	]	PUNCT
ap-7699	1472	4	m.	m.	NOUN
ap-7699	1472	5	asorey	asorey	PROPN
ap-7699	1472	6	,	,	PUNCT
ap-7699	1472	7	f.	f.	PROPN
ap-7699	1472	8	falceto	falceto	PROPN
ap-7699	1472	9	.	.	PUNCT
ap-7699	1473	1	on	on	ADP
ap-7699	1473	2	the	the	DET
ap-7699	1473	3	consistency	consistency	NOUN
ap-7699	1473	4	of	of	ADP
ap-7699	1473	5	the	the	DET
ap-7699	1473	6	regularization	regularization	NOUN
ap-7699	1473	7	of	of	ADP
ap-7699	1473	8	gauge	gauge	NOUN
ap-7699	1473	9	theories	theory	NOUN
ap-7699	1473	10	by	by	ADP
ap-7699	1473	11	high	high	ADJ
ap-7699	1473	12	covariant	covariant	ADJ
ap-7699	1473	13	derivatives	derivative	NOUN
ap-7699	1473	14	.	.	PUNCT
ap-7699	1474	1	physical	physical	ADJ
ap-7699	1474	2	review	review	NOUN
ap-7699	1475	1	d	d	PROPN
ap-7699	1475	2	54(8):5290–5301	54(8):5290–5301	NUM
ap-7699	1475	3	,	,	PUNCT
ap-7699	1475	4	1996	1996	NUM
ap-7699	1475	5	.	.	PUNCT
ap-7699	1476	1	https://doi.org/10.1103/physrevd.54.5290	https://doi.org/10.1103/physrevd.54.5290	NOUN
ap-7699	1476	2	.	.	PUNCT
ap-7699	1477	1	[	[	X
ap-7699	1477	2	46	46	NUM
ap-7699	1477	3	]	]	PUNCT
ap-7699	1477	4	m.	m.	NOUN
ap-7699	1477	5	asorey	asorey	PROPN
ap-7699	1477	6	,	,	PUNCT
ap-7699	1477	7	f.	f.	PROPN
ap-7699	1477	8	falceto	falceto	PROPN
ap-7699	1477	9	,	,	PUNCT
ap-7699	1477	10	l.	l.	PROPN
ap-7699	1477	11	rachwał	rachwał	PROPN
ap-7699	1477	12	.	.	PUNCT
ap-7699	1478	1	asymptotic	asymptotic	ADJ
ap-7699	1478	2	freedom	freedom	NOUN
ap-7699	1478	3	and	and	CCONJ
ap-7699	1478	4	higher	high	ADJ
ap-7699	1478	5	derivative	derivative	ADJ
ap-7699	1478	6	gauge	gauge	NOUN
ap-7699	1478	7	theories	theory	NOUN
ap-7699	1478	8	.	.	PUNCT
ap-7699	1479	1	journal	journal	NOUN
ap-7699	1479	2	of	of	ADP
ap-7699	1479	3	high	high	ADJ
ap-7699	1479	4	energy	energy	NOUN
ap-7699	1479	5	physics	physics	NOUN
ap-7699	1479	6	2021:75	2021:75	NUM
ap-7699	1479	7	,	,	PUNCT
ap-7699	1479	8	2021	2021	NUM
ap-7699	1479	9	.	.	PUNCT
ap-7699	1480	1	https://doi.org/10.1007/jhep05(2021)075	https://doi.org/10.1007/jhep05(2021)075	VERB
ap-7699	1480	2	.	.	PUNCT
ap-7699	1481	1	[	[	X
ap-7699	1481	2	47	47	NUM
ap-7699	1481	3	]	]	PUNCT
ap-7699	1481	4	wolfram	wolfram	PROPN
ap-7699	1481	5	research	research	PROPN
ap-7699	1481	6	,	,	PUNCT
ap-7699	1481	7	mathematica	mathematica	PROPN
ap-7699	1481	8	,	,	PUNCT
ap-7699	1481	9	version	version	NOUN
ap-7699	1481	10	9.0	9.0	NUM
ap-7699	1481	11	,	,	PUNCT
ap-7699	1481	12	champaign	champaign	NOUN
ap-7699	1481	13	,	,	PUNCT
ap-7699	1481	14	il	il	PROPN
ap-7699	1481	15	(	(	PUNCT
ap-7699	1481	16	2012	2012	NUM
ap-7699	1481	17	)	)	PUNCT
ap-7699	1481	18	.	.	PUNCT
ap-7699	1482	1	https://www.wolfram.com/.	https://www.wolfram.com/.	NUM
ap-7699	1483	1	[	[	X
ap-7699	1483	2	48	48	NUM
ap-7699	1483	3	]	]	PUNCT
ap-7699	1483	4	a.	a.	NOUN
ap-7699	1483	5	o.	o.	PROPN
ap-7699	1483	6	barvinsky	barvinsky	PROPN
ap-7699	1483	7	,	,	PUNCT
ap-7699	1483	8	g.	g.	PROPN
ap-7699	1483	9	a.	a.	PROPN
ap-7699	1483	10	vilkovisky	vilkovisky	PROPN
ap-7699	1483	11	.	.	PUNCT
ap-7699	1484	1	covariant	covariant	ADJ
ap-7699	1484	2	perturbation	perturbation	NOUN
ap-7699	1484	3	theory	theory	NOUN
ap-7699	1484	4	.	.	PUNCT
ap-7699	1485	1	2	2	NUM
ap-7699	1485	2	:	:	PUNCT
ap-7699	1485	3	second	second	ADJ
ap-7699	1485	4	order	order	NOUN
ap-7699	1485	5	in	in	ADP
ap-7699	1485	6	the	the	DET
ap-7699	1485	7	curvature	curvature	NOUN
ap-7699	1485	8	.	.	PUNCT
ap-7699	1486	1	general	general	ADJ
ap-7699	1486	2	algorithms	algorithm	NOUN
ap-7699	1486	3	.	.	PUNCT
ap-7699	1487	1	nuclear	nuclear	ADJ
ap-7699	1487	2	physics	physics	PROPN
ap-7699	1487	3	b	b	PROPN
ap-7699	1487	4	333(2):471–511	333(2):471–511	PROPN
ap-7699	1487	5	,	,	PUNCT
ap-7699	1487	6	1990	1990	NUM
ap-7699	1487	7	.	.	PUNCT
ap-7699	1488	1	https://doi.org/10.1016/0550-3213(90)90047-h	https://doi.org/10.1016/0550-3213(90)90047-h	NOUN
ap-7699	1488	2	.	.	PUNCT
ap-7699	1489	1	[	[	X
ap-7699	1489	2	49	49	NUM
ap-7699	1489	3	]	]	PUNCT
ap-7699	1489	4	e.	e.	PROPN
ap-7699	1489	5	s.	s.	PROPN
ap-7699	1489	6	fradkin	fradkin	PROPN
ap-7699	1489	7	,	,	PUNCT
ap-7699	1489	8	a.	a.	PROPN
ap-7699	1489	9	a.	a.	PROPN
ap-7699	1489	10	tseytlin	tseytlin	PROPN
ap-7699	1489	11	.	.	PUNCT
ap-7699	1490	1	conformal	conformal	ADJ
ap-7699	1490	2	supergravity	supergravity	NOUN
ap-7699	1490	3	.	.	PUNCT
ap-7699	1491	1	physics	physics	NOUN
ap-7699	1491	2	reports	report	VERB
ap-7699	1491	3	119(4	119(4	NUM
ap-7699	1491	4	-	-	SYM
ap-7699	1491	5	5):233–362	5):233–362	NUM
ap-7699	1491	6	,	,	PUNCT
ap-7699	1491	7	1985	1985	NUM
ap-7699	1491	8	.	.	PUNCT
ap-7699	1492	1	https://doi.org/10.1016/0370-1573(85)90138-3	https://doi.org/10.1016/0370-1573(85)90138-3	NOUN
ap-7699	1492	2	.	.	PUNCT
ap-7699	1493	1	[	[	X
ap-7699	1493	2	50	50	NUM
ap-7699	1493	3	]	]	PUNCT
ap-7699	1493	4	c.	c.	PROPN
ap-7699	1493	5	bambi	bambi	PROPN
ap-7699	1493	6	,	,	PUNCT
ap-7699	1493	7	l.	l.	PROPN
ap-7699	1493	8	modesto	modesto	PROPN
ap-7699	1493	9	,	,	PUNCT
ap-7699	1493	10	s.	s.	PROPN
ap-7699	1493	11	porey	porey	PROPN
ap-7699	1493	12	,	,	PUNCT
ap-7699	1493	13	l.	l.	PROPN
ap-7699	1493	14	rachwał	rachwał	PROPN
ap-7699	1493	15	.	.	PUNCT
ap-7699	1494	1	black	black	ADJ
ap-7699	1494	2	hole	hole	NOUN
ap-7699	1494	3	evaporation	evaporation	NOUN
ap-7699	1494	4	in	in	ADP
ap-7699	1494	5	conformal	conformal	ADJ
ap-7699	1494	6	gravity	gravity	NOUN
ap-7699	1494	7	.	.	PUNCT
ap-7699	1495	1	journal	journal	PROPN
ap-7699	1495	2	of	of	ADP
ap-7699	1495	3	cosmology	cosmology	PROPN
ap-7699	1495	4	and	and	CCONJ
ap-7699	1495	5	astroparticle	astroparticle	NOUN
ap-7699	1495	6	physics	physics	NOUN
ap-7699	1495	7	2017(9):033	2017(9):033	NUM
ap-7699	1495	8	,	,	PUNCT
ap-7699	1495	9	2017	2017	NUM
ap-7699	1495	10	.	.	PUNCT
ap-7699	1496	1	https://doi.org/10.1088/1475-7516/2017/09/033	https://doi.org/10.1088/1475-7516/2017/09/033	PROPN
ap-7699	1496	2	.	.	PUNCT
ap-7699	1497	1	[	[	X
ap-7699	1497	2	51	51	NUM
ap-7699	1497	3	]	]	PUNCT
ap-7699	1497	4	c.	c.	PROPN
ap-7699	1497	5	bambi	bambi	PROPN
ap-7699	1497	6	,	,	PUNCT
ap-7699	1497	7	l.	l.	PROPN
ap-7699	1497	8	modesto	modesto	PROPN
ap-7699	1497	9	,	,	PUNCT
ap-7699	1497	10	s.	s.	PROPN
ap-7699	1497	11	porey	porey	PROPN
ap-7699	1497	12	,	,	PUNCT
ap-7699	1497	13	l.	l.	PROPN
ap-7699	1497	14	rachwał	rachwał	PROPN
ap-7699	1497	15	.	.	PUNCT
ap-7699	1498	1	formation	formation	NOUN
ap-7699	1498	2	and	and	CCONJ
ap-7699	1498	3	evaporation	evaporation	NOUN
ap-7699	1498	4	of	of	ADP
ap-7699	1498	5	an	an	DET
ap-7699	1498	6	electrically	electrically	ADV
ap-7699	1498	7	charged	charge	VERB
ap-7699	1498	8	black	black	ADJ
ap-7699	1498	9	hole	hole	NOUN
ap-7699	1498	10	in	in	ADP
ap-7699	1498	11	conformal	conformal	ADJ
ap-7699	1498	12	gravity	gravity	NOUN
ap-7699	1498	13	.	.	PUNCT
ap-7699	1499	1	the	the	DET
ap-7699	1499	2	european	european	PROPN
ap-7699	1499	3	physical	physical	PROPN
ap-7699	1499	4	journal	journal	PROPN
ap-7699	1499	5	c	c	PROPN
ap-7699	1499	6	78(2):116	78(2):116	PROPN
ap-7699	1499	7	,	,	PUNCT
ap-7699	1499	8	2018	2018	NUM
ap-7699	1499	9	.	.	PUNCT
ap-7699	1500	1	https://doi.org/10.1140/epjc/s10052-018-5608-4	https://doi.org/10.1140/epjc/s10052-018-5608-4	PROPN
ap-7699	1500	2	.	.	PUNCT
ap-7699	1501	1	[	[	X
ap-7699	1501	2	52	52	NUM
ap-7699	1501	3	]	]	PUNCT
ap-7699	1501	4	p.	p.	PROPN
ap-7699	1501	5	jizba	jizba	PROPN
ap-7699	1501	6	,	,	PUNCT
ap-7699	1501	7	l.	l.	PROPN
ap-7699	1501	8	rachwał	rachwał	PROPN
ap-7699	1501	9	,	,	PUNCT
ap-7699	1501	10	j.	j.	PROPN
ap-7699	1501	11	kňap	kňap	PROPN
ap-7699	1501	12	.	.	PUNCT
ap-7699	1502	1	infrared	infrared	ADJ
ap-7699	1502	2	behavior	behavior	NOUN
ap-7699	1502	3	of	of	ADP
ap-7699	1502	4	weyl	weyl	VERB
ap-7699	1502	5	gravity	gravity	NOUN
ap-7699	1502	6	:	:	PUNCT
ap-7699	1502	7	functional	functional	ADJ
ap-7699	1502	8	renormalization	renormalization	NOUN
ap-7699	1502	9	group	group	NOUN
ap-7699	1502	10	approach	approach	NOUN
ap-7699	1502	11	.	.	PUNCT
ap-7699	1503	1	physical	physical	ADJ
ap-7699	1503	2	review	review	PROPN
ap-7699	1503	3	d	d	PROPN
ap-7699	1503	4	101(4):044050	101(4):044050	PROPN
ap-7699	1503	5	,	,	PUNCT
ap-7699	1503	6	2020	2020	NUM
ap-7699	1503	7	.	.	PUNCT
ap-7699	1504	1	https://doi.org/10.1103/physrevd.101.044050	https://doi.org/10.1103/physrevd.101.044050	NOUN
ap-7699	1504	2	.	.	PUNCT
ap-7699	1505	1	[	[	X
ap-7699	1505	2	53	53	NUM
ap-7699	1505	3	]	]	PUNCT
ap-7699	1505	4	p.	p.	PROPN
ap-7699	1505	5	jizba	jizba	PROPN
ap-7699	1505	6	,	,	PUNCT
ap-7699	1505	7	l.	l.	PROPN
ap-7699	1505	8	rachwał	rachwał	PROPN
ap-7699	1505	9	,	,	PUNCT
ap-7699	1505	10	s.	s.	PROPN
ap-7699	1505	11	g.	g.	PROPN
ap-7699	1505	12	giaccari	giaccari	PROPN
ap-7699	1505	13	,	,	PUNCT
ap-7699	1505	14	j.	j.	PROPN
ap-7699	1505	15	kňap	kňap	PROPN
ap-7699	1505	16	.	.	PUNCT
ap-7699	1506	1	dark	dark	ADJ
ap-7699	1506	2	side	side	NOUN
ap-7699	1506	3	of	of	ADP
ap-7699	1506	4	weyl	weyl	VERB
ap-7699	1506	5	gravity	gravity	NOUN
ap-7699	1506	6	.	.	PUNCT
ap-7699	1507	1	universe	universe	NOUN
ap-7699	1507	2	6(8):123	6(8):123	NUM
ap-7699	1507	3	,	,	PUNCT
ap-7699	1507	4	2020	2020	NUM
ap-7699	1507	5	.	.	PUNCT
ap-7699	1508	1	https://doi.org/10.3390/universe6080123	https://doi.org/10.3390/universe6080123	NOUN
ap-7699	1508	2	.	.	PUNCT
ap-7699	1509	1	[	[	X
ap-7699	1509	2	54	54	NUM
ap-7699	1509	3	]	]	PUNCT
ap-7699	1509	4	l.	l.	PROPN
ap-7699	1509	5	rachwał	rachwał	PROPN
ap-7699	1509	6	,	,	PUNCT
ap-7699	1509	7	s.	s.	PROPN
ap-7699	1509	8	giaccari	giaccari	PROPN
ap-7699	1509	9	.	.	PUNCT
ap-7699	1510	1	infrared	infrared	ADJ
ap-7699	1510	2	behavior	behavior	NOUN
ap-7699	1510	3	of	of	ADP
ap-7699	1510	4	weyl	weyl	VERB
ap-7699	1510	5	gravity	gravity	NOUN
ap-7699	1510	6	.	.	PUNCT
ap-7699	1511	1	journal	journal	PROPN
ap-7699	1511	2	of	of	ADP
ap-7699	1511	3	physics	physics	PROPN
ap-7699	1511	4	:	:	PUNCT
ap-7699	1511	5	conference	conference	NOUN
ap-7699	1511	6	series	series	NOUN
ap-7699	1511	7	1956(1):012012	1956(1):012012	NOUN
ap-7699	1511	8	,	,	PUNCT
ap-7699	1511	9	2021	2021	NUM
ap-7699	1511	10	.	.	PUNCT
ap-7699	1512	1	https://doi.org/10.1088/1742-6596/1956/1/012012	https://doi.org/10.1088/1742-6596/1956/1/012012	PROPN
ap-7699	1512	2	.	.	PUNCT
ap-7699	1513	1	[	[	X
ap-7699	1513	2	55	55	NUM
ap-7699	1513	3	]	]	X
ap-7699	1513	4	c.	c.	PROPN
ap-7699	1513	5	bambi	bambi	PROPN
ap-7699	1513	6	,	,	PUNCT
ap-7699	1513	7	l.	l.	PROPN
ap-7699	1513	8	modesto	modesto	PROPN
ap-7699	1513	9	,	,	PUNCT
ap-7699	1513	10	l.	l.	PROPN
ap-7699	1513	11	rachwał	rachwał	PROPN
ap-7699	1513	12	.	.	PUNCT
ap-7699	1514	1	spacetime	spacetime	PROPN
ap-7699	1514	2	completeness	completeness	NOUN
ap-7699	1514	3	of	of	ADP
ap-7699	1514	4	non	non	ADJ
ap-7699	1514	5	-	-	ADJ
ap-7699	1514	6	singular	singular	ADJ
ap-7699	1514	7	black	black	ADJ
ap-7699	1514	8	holes	hole	NOUN
ap-7699	1514	9	in	in	ADP
ap-7699	1514	10	conformal	conformal	ADJ
ap-7699	1514	11	gravity	gravity	NOUN
ap-7699	1514	12	.	.	PUNCT
ap-7699	1515	1	journal	journal	PROPN
ap-7699	1515	2	of	of	ADP
ap-7699	1515	3	cosmology	cosmology	PROPN
ap-7699	1515	4	and	and	CCONJ
ap-7699	1515	5	astroparticle	astroparticle	PROPN
ap-7699	1515	6	physics	physics	PROPN
ap-7699	1515	7	2017(05):003	2017(05):003	NUM
ap-7699	1515	8	,	,	PUNCT
ap-7699	1515	9	2017	2017	NUM
ap-7699	1515	10	.	.	PUNCT
ap-7699	1516	1	https://doi.org/10.1088/1475-7516/2017/05/003	https://doi.org/10.1088/1475-7516/2017/05/003	ADJ
ap-7699	1516	2	.	.	PUNCT
ap-7699	1517	1	[	[	X
ap-7699	1517	2	56	56	NUM
ap-7699	1517	3	]	]	X
ap-7699	1517	4	l.	l.	PROPN
ap-7699	1517	5	rachwał	rachwał	PROPN
ap-7699	1517	6	.	.	PUNCT
ap-7699	1518	1	conformal	conformal	ADJ
ap-7699	1518	2	symmetry	symmetry	NOUN
ap-7699	1518	3	in	in	ADP
ap-7699	1518	4	field	field	NOUN
ap-7699	1518	5	theory	theory	NOUN
ap-7699	1518	6	and	and	CCONJ
ap-7699	1518	7	in	in	ADP
ap-7699	1518	8	quantum	quantum	ADJ
ap-7699	1518	9	gravity	gravity	NOUN
ap-7699	1518	10	.	.	PUNCT
ap-7699	1519	1	universe	universe	PROPN
ap-7699	1519	2	4(11):125	4(11):125	PROPN
ap-7699	1519	3	,	,	PUNCT
ap-7699	1519	4	2018	2018	NUM
ap-7699	1519	5	.	.	PUNCT
ap-7699	1520	1	https://doi.org/10.3390/universe4110125	https://doi.org/10.3390/universe4110125	NOUN
ap-7699	1520	2	.	.	PUNCT
ap-7699	1521	1	[	[	X
ap-7699	1521	2	57	57	NUM
ap-7699	1521	3	]	]	PUNCT
ap-7699	1521	4	p.	p.	PROPN
ap-7699	1521	5	d.	d.	PROPN
ap-7699	1521	6	mannheim	mannheim	PROPN
ap-7699	1521	7	.	.	PUNCT
ap-7699	1522	1	mass	mass	ADJ
ap-7699	1522	2	generation	generation	NOUN
ap-7699	1522	3	,	,	PUNCT
ap-7699	1522	4	the	the	DET
ap-7699	1522	5	cosmological	cosmological	ADJ
ap-7699	1522	6	constant	constant	ADJ
ap-7699	1522	7	problem	problem	NOUN
ap-7699	1522	8	,	,	PUNCT
ap-7699	1522	9	conformal	conformal	NOUN
ap-7699	1522	10	symmetry	symmetry	NOUN
ap-7699	1522	11	,	,	PUNCT
ap-7699	1522	12	and	and	CCONJ
ap-7699	1522	13	the	the	DET
ap-7699	1522	14	higgs	higgs	PROPN
ap-7699	1522	15	boson	boson	PROPN
ap-7699	1522	16	.	.	PUNCT
ap-7699	1523	1	progress	progress	NOUN
ap-7699	1523	2	in	in	ADP
ap-7699	1523	3	particle	particle	NOUN
ap-7699	1523	4	and	and	CCONJ
ap-7699	1523	5	nuclear	nuclear	ADJ
ap-7699	1523	6	physics	physics	NOUN
ap-7699	1523	7	94:125–183	94:125–183	NUM
ap-7699	1523	8	,	,	PUNCT
ap-7699	1523	9	2017	2017	NUM
ap-7699	1523	10	.	.	PUNCT
ap-7699	1524	1	https://doi.org/10.1016/j.ppnp.2017.02.001	https://doi.org/10.1016/j.ppnp.2017.02.001	NOUN
ap-7699	1524	2	.	.	PUNCT
ap-7699	1525	1	[	[	X
ap-7699	1525	2	58	58	NUM
ap-7699	1525	3	]	]	PUNCT
ap-7699	1525	4	p.	p.	PROPN
ap-7699	1525	5	d.	d.	PROPN
ap-7699	1525	6	mannheim	mannheim	PROPN
ap-7699	1525	7	.	.	PUNCT
ap-7699	1526	1	p	p	PROPN
ap-7699	1526	2	t	t	PROPN
ap-7699	1526	3	symmetry	symmetry	NOUN
ap-7699	1526	4	,	,	PUNCT
ap-7699	1526	5	conformal	conformal	NOUN
ap-7699	1526	6	symmetry	symmetry	NOUN
ap-7699	1526	7	,	,	PUNCT
ap-7699	1526	8	and	and	CCONJ
ap-7699	1526	9	the	the	DET
ap-7699	1526	10	metrication	metrication	NOUN
ap-7699	1526	11	of	of	ADP
ap-7699	1526	12	electromagnetism	electromagnetism	NOUN
ap-7699	1526	13	.	.	PUNCT
ap-7699	1527	1	foundations	foundation	NOUN
ap-7699	1527	2	of	of	ADP
ap-7699	1527	3	physics	physics	NOUN
ap-7699	1527	4	47(9):1229–1257	47(9):1229–1257	NOUN
ap-7699	1527	5	,	,	PUNCT
ap-7699	1527	6	2017	2017	NUM
ap-7699	1527	7	.	.	PUNCT
ap-7699	1528	1	https://doi.org/10.1007/s10701-016-0017-8	https://doi.org/10.1007/s10701-016-0017-8	NUM
ap-7699	1528	2	.	.	PUNCT
ap-7699	1529	1	[	[	X
ap-7699	1529	2	59	59	NUM
ap-7699	1529	3	]	]	X
ap-7699	1529	4	d.	d.	PROPN
ap-7699	1529	5	anselmi	anselmi	PROPN
ap-7699	1529	6	,	,	PUNCT
ap-7699	1529	7	m.	m.	NOUN
ap-7699	1529	8	piva	piva	PROPN
ap-7699	1529	9	.	.	PUNCT
ap-7699	1530	1	perturbative	perturbative	ADJ
ap-7699	1530	2	unitarity	unitarity	NOUN
ap-7699	1530	3	of	of	ADP
ap-7699	1530	4	lee	lee	PROPN
ap-7699	1530	5	-	-	PUNCT
ap-7699	1530	6	wick	wick	NOUN
ap-7699	1530	7	quantum	quantum	NOUN
ap-7699	1530	8	field	field	NOUN
ap-7699	1530	9	theory	theory	NOUN
ap-7699	1530	10	.	.	PUNCT
ap-7699	1531	1	physical	physical	ADJ
ap-7699	1531	2	review	review	PROPN
ap-7699	1531	3	d	d	PROPN
ap-7699	1531	4	96(4):045009	96(4):045009	NUM
ap-7699	1531	5	,	,	PUNCT
ap-7699	1531	6	2017	2017	NUM
ap-7699	1531	7	.	.	PUNCT
ap-7699	1532	1	https://doi.org/10.1103/physrevd.96.045009	https://doi.org/10.1103/physrevd.96.045009	PROPN
ap-7699	1532	2	.	.	PUNCT
ap-7699	1533	1	[	[	X
ap-7699	1533	2	60	60	NUM
ap-7699	1533	3	]	]	X
ap-7699	1533	4	d.	d.	PROPN
ap-7699	1533	5	anselmi	anselmi	PROPN
ap-7699	1533	6	,	,	PUNCT
ap-7699	1533	7	m.	m.	NOUN
ap-7699	1533	8	piva	piva	PROPN
ap-7699	1533	9	.	.	PUNCT
ap-7699	1534	1	a	a	DET
ap-7699	1534	2	new	new	ADJ
ap-7699	1534	3	formulation	formulation	NOUN
ap-7699	1534	4	of	of	ADP
ap-7699	1534	5	lee	lee	PROPN
ap-7699	1534	6	-	-	PUNCT
ap-7699	1534	7	wick	wick	NOUN
ap-7699	1534	8	quantum	quantum	NOUN
ap-7699	1534	9	field	field	NOUN
ap-7699	1534	10	theory	theory	NOUN
ap-7699	1534	11	.	.	PUNCT
ap-7699	1535	1	journal	journal	NOUN
ap-7699	1535	2	of	of	ADP
ap-7699	1535	3	high	high	ADJ
ap-7699	1535	4	energy	energy	NOUN
ap-7699	1535	5	physics	physics	NOUN
ap-7699	1535	6	2017:66	2017:66	NUM
ap-7699	1535	7	,	,	PUNCT
ap-7699	1535	8	2017	2017	NUM
ap-7699	1535	9	.	.	PUNCT
ap-7699	1536	1	https://doi.org/10.1007/jhep06(2017)066	https://doi.org/10.1007/jhep06(2017)066	PROPN
ap-7699	1536	2	.	.	PUNCT
ap-7699	1537	1	[	[	X
ap-7699	1537	2	61	61	NUM
ap-7699	1537	3	]	]	X
ap-7699	1537	4	d.	d.	PROPN
ap-7699	1537	5	anselmi	anselmi	PROPN
ap-7699	1537	6	.	.	PUNCT
ap-7699	1538	1	fakeons	fakeon	NOUN
ap-7699	1538	2	and	and	CCONJ
ap-7699	1538	3	lee	lee	PROPN
ap-7699	1538	4	-	-	PUNCT
ap-7699	1538	5	wick	wick	NOUN
ap-7699	1538	6	models	model	NOUN
ap-7699	1538	7	.	.	PUNCT
ap-7699	1539	1	journal	journal	NOUN
ap-7699	1539	2	of	of	ADP
ap-7699	1539	3	high	high	ADJ
ap-7699	1539	4	energy	energy	NOUN
ap-7699	1539	5	physics	physics	NOUN
ap-7699	1539	6	2018:141	2018:141	NUM
ap-7699	1539	7	,	,	PUNCT
ap-7699	1539	8	2018	2018	NUM
ap-7699	1539	9	.	.	PUNCT
ap-7699	1540	1	https://doi.org/10.1007/jhep02(2018)141	https://doi.org/10.1007/jhep02(2018)141	NOUN
ap-7699	1540	2	.	.	PUNCT
ap-7699	1541	1	[	[	X
ap-7699	1541	2	62	62	NUM
ap-7699	1541	3	]	]	PUNCT
ap-7699	1541	4	r.	r.	PROPN
ap-7699	1541	5	e.	e.	PROPN
ap-7699	1541	6	cutkosky	cutkosky	PROPN
ap-7699	1541	7	,	,	PUNCT
ap-7699	1541	8	p.	p.	NOUN
ap-7699	1541	9	v.	v.	ADP
ap-7699	1541	10	landshoff	landshoff	PROPN
ap-7699	1541	11	,	,	PUNCT
ap-7699	1541	12	d.	d.	PROPN
ap-7699	1541	13	i.	i.	PROPN
ap-7699	1541	14	olive	olive	PROPN
ap-7699	1541	15	,	,	PUNCT
ap-7699	1541	16	j.	j.	PROPN
ap-7699	1541	17	c.	c.	PROPN
ap-7699	1541	18	polkinghorne	polkinghorne	PROPN
ap-7699	1541	19	.	.	PUNCT
ap-7699	1542	1	a	a	DET
ap-7699	1542	2	non	non	ADJ
ap-7699	1542	3	-	-	ADJ
ap-7699	1542	4	analytic	analytic	ADJ
ap-7699	1542	5	s	s	NOUN
ap-7699	1542	6	-	-	NOUN
ap-7699	1542	7	matrix	matrix	NOUN
ap-7699	1542	8	.	.	PUNCT
ap-7699	1543	1	nuclear	nuclear	ADJ
ap-7699	1543	2	physics	physics	PROPN
ap-7699	1543	3	b	b	PROPN
ap-7699	1543	4	12(2):281–300	12(2):281–300	NUM
ap-7699	1543	5	,	,	PUNCT
ap-7699	1543	6	1969	1969	NUM
ap-7699	1543	7	.	.	PUNCT
ap-7699	1544	1	https://doi.org/10.1016/0550-3213(69)90169-2	https://doi.org/10.1016/0550-3213(69)90169-2	NOUN
ap-7699	1544	2	.	.	PUNCT
ap-7699	1545	1	[	[	X
ap-7699	1545	2	63	63	NUM
ap-7699	1545	3	]	]	PUNCT
ap-7699	1545	4	t.	t.	PROPN
ap-7699	1545	5	d.	d.	PROPN
ap-7699	1545	6	lee	lee	PROPN
ap-7699	1545	7	,	,	PUNCT
ap-7699	1545	8	g.	g.	PROPN
ap-7699	1545	9	c.	c.	PROPN
ap-7699	1545	10	wick	wick	PROPN
ap-7699	1545	11	.	.	PUNCT
ap-7699	1546	1	negative	negative	ADJ
ap-7699	1546	2	metric	metric	ADJ
ap-7699	1546	3	and	and	CCONJ
ap-7699	1546	4	the	the	DET
ap-7699	1546	5	unitarity	unitarity	NOUN
ap-7699	1546	6	of	of	ADP
ap-7699	1546	7	the	the	DET
ap-7699	1546	8	s	s	NOUN
ap-7699	1546	9	-	-	NOUN
ap-7699	1546	10	matrix	matrix	NOUN
ap-7699	1546	11	.	.	PUNCT
ap-7699	1547	1	nuclear	nuclear	ADJ
ap-7699	1547	2	physics	physics	PROPN
ap-7699	1547	3	b	b	PROPN
ap-7699	1547	4	9(2):209–243	9(2):209–243	PROPN
ap-7699	1547	5	,	,	PUNCT
ap-7699	1547	6	1969	1969	NUM
ap-7699	1547	7	.	.	PUNCT
ap-7699	1548	1	https://doi.org/10.1016/0550-3213(69)90098-4	https://doi.org/10.1016/0550-3213(69)90098-4	NOUN
ap-7699	1548	2	.	.	PUNCT
ap-7699	1549	1	[	[	X
ap-7699	1549	2	64	64	NUM
ap-7699	1549	3	]	]	PUNCT
ap-7699	1549	4	t.	t.	PROPN
ap-7699	1549	5	d.	d.	PROPN
ap-7699	1549	6	lee	lee	PROPN
ap-7699	1549	7	,	,	PUNCT
ap-7699	1549	8	g.	g.	PROPN
ap-7699	1549	9	c.	c.	PROPN
ap-7699	1549	10	wick	wick	PROPN
ap-7699	1549	11	.	.	PUNCT
ap-7699	1550	1	finite	finite	PROPN
ap-7699	1550	2	theory	theory	NOUN
ap-7699	1550	3	of	of	ADP
ap-7699	1550	4	quantum	quantum	ADJ
ap-7699	1550	5	electrodynamics	electrodynamic	NOUN
ap-7699	1550	6	.	.	PUNCT
ap-7699	1551	1	physical	physical	ADJ
ap-7699	1551	2	review	review	PROPN
ap-7699	1551	3	d	d	PROPN
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ap-7699	1551	5	,	,	PUNCT
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ap-7699	1551	7	.	.	PUNCT
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ap-7699	1552	2	.	.	PUNCT
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ap-7699	1553	2	65	65	NUM
ap-7699	1553	3	]	]	X
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ap-7699	1554	11	.	.	PUNCT
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ap-7699	1555	6	,	,	PUNCT
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ap-7699	1555	8	.	.	PUNCT
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ap-7699	1557	2	66	66	NUM
ap-7699	1557	3	]	]	PUNCT
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ap-7699	1557	16	.	.	PUNCT
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ap-7699	1558	7	,	,	PUNCT
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ap-7699	1558	9	.	.	PUNCT
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ap-7699	1562	3	acta	acta	PROPN
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ap-7699	1562	5	[	[	X
ap-7699	1562	6	67	67	NUM
ap-7699	1562	7	]	]	X
ap-7699	1562	8	l.	l.	PROPN
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ap-7699	1562	10	,	,	PUNCT
ap-7699	1562	11	i.	i.	PROPN
ap-7699	1562	12	l.	l.	PROPN
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ap-7699	1562	14	.	.	PUNCT
ap-7699	1563	1	superrenormalizable	superrenormalizable	ADJ
ap-7699	1563	2	quantum	quantum	NOUN
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ap-7699	1563	4	with	with	ADP
ap-7699	1563	5	complex	complex	ADJ
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ap-7699	1563	7	.	.	PUNCT
ap-7699	1564	1	physics	physics	NOUN
ap-7699	1564	2	letters	letters	PROPN
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ap-7699	1564	5	,	,	PUNCT
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ap-7699	1564	7	.	.	PUNCT
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ap-7699	1565	2	.	.	PUNCT
ap-7699	1566	1	[	[	X
ap-7699	1566	2	68	68	NUM
ap-7699	1566	3	]	]	PUNCT
ap-7699	1566	4	l.	l.	PROPN
ap-7699	1566	5	modesto	modesto	PROPN
ap-7699	1566	6	.	.	PUNCT
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ap-7699	1567	2	-	-	NOUN
ap-7699	1567	3	renormalizable	renormalizable	ADJ
ap-7699	1567	4	or	or	CCONJ
ap-7699	1567	5	finite	finite	PROPN
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ap-7699	1567	8	wick	wick	NOUN
ap-7699	1567	9	quantum	quantum	NOUN
ap-7699	1567	10	gravity	gravity	NOUN
ap-7699	1567	11	.	.	PUNCT
ap-7699	1568	1	nuclear	nuclear	ADJ
ap-7699	1568	2	physics	physics	PROPN
ap-7699	1568	3	b	b	PROPN
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ap-7699	1568	5	,	,	PUNCT
ap-7699	1568	6	2016	2016	NUM
ap-7699	1568	7	.	.	PUNCT
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ap-7699	1569	2	.	.	PUNCT
ap-7699	1570	1	[	[	X
ap-7699	1570	2	69	69	NUM
ap-7699	1570	3	]	]	X
ap-7699	1570	4	c.	c.	PROPN
ap-7699	1570	5	m.	m.	PROPN
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ap-7699	1570	7	,	,	PUNCT
ap-7699	1570	8	p.	p.	PROPN
ap-7699	1570	9	d.	d.	PROPN
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ap-7699	1570	11	.	.	PUNCT
ap-7699	1571	1	no	no	DET
ap-7699	1571	2	-	-	PUNCT
ap-7699	1571	3	ghost	ghost	NOUN
ap-7699	1571	4	theorem	theorem	NOUN
ap-7699	1571	5	for	for	ADP
ap-7699	1571	6	the	the	DET
ap-7699	1571	7	fourth	fourth	ADJ
ap-7699	1571	8	-	-	PUNCT
ap-7699	1571	9	order	order	NOUN
ap-7699	1571	10	derivative	derivative	ADJ
ap-7699	1571	11	pais	pais	PROPN
ap-7699	1571	12	-	-	PUNCT
ap-7699	1571	13	uhlenbeck	uhlenbeck	PROPN
ap-7699	1571	14	oscillator	oscillator	NOUN
ap-7699	1571	15	model	model	NOUN
ap-7699	1571	16	.	.	PUNCT
ap-7699	1572	1	physical	physical	ADJ
ap-7699	1572	2	review	review	PROPN
ap-7699	1572	3	letters	letter	NOUN
ap-7699	1572	4	100(11):110402	100(11):110402	PROPN
ap-7699	1572	5	,	,	PUNCT
ap-7699	1572	6	2008	2008	NUM
ap-7699	1572	7	.	.	PUNCT
ap-7699	1573	1	https://doi.org/10.1103/physrevlett.100.110402	https://doi.org/10.1103/physrevlett.100.110402	X
ap-7699	1573	2	.	.	PUNCT
ap-7699	1574	1	[	[	X
ap-7699	1574	2	70	70	NUM
ap-7699	1574	3	]	]	X
ap-7699	1574	4	c.	c.	PROPN
ap-7699	1574	5	m.	m.	PROPN
ap-7699	1574	6	bender	bender	PROPN
ap-7699	1574	7	,	,	PUNCT
ap-7699	1574	8	p.	p.	PROPN
ap-7699	1574	9	d.	d.	PROPN
ap-7699	1574	10	mannheim	mannheim	PROPN
ap-7699	1574	11	.	.	PUNCT
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ap-7699	1575	5	hamiltonian	hamiltonian	NOUN
ap-7699	1575	6	having	have	VERB
ap-7699	1575	7	no	no	DET
ap-7699	1575	8	hermitian	hermitian	ADJ
ap-7699	1575	9	counterpart	counterpart	NOUN
ap-7699	1575	10	.	.	PUNCT
ap-7699	1576	1	physical	physical	ADJ
ap-7699	1576	2	review	review	PROPN
ap-7699	1576	3	d	d	PROPN
ap-7699	1576	4	78(2):025022	78(2):025022	NUM
ap-7699	1576	5	,	,	PUNCT
ap-7699	1576	6	2008	2008	NUM
ap-7699	1576	7	.	.	PUNCT
ap-7699	1577	1	https://doi.org/10.1103/physrevd.78.025022	https://doi.org/10.1103/physrevd.78.025022	NOUN
ap-7699	1577	2	.	.	PUNCT
ap-7699	1578	1	[	[	X
ap-7699	1578	2	71	71	NUM
ap-7699	1578	3	]	]	X
ap-7699	1578	4	a.	a.	NOUN
ap-7699	1578	5	v.	v.	ADP
ap-7699	1578	6	smilga	smilga	PROPN
ap-7699	1578	7	.	.	PUNCT
ap-7699	1579	1	benign	benign	ADJ
ap-7699	1579	2	versus	versus	ADP
ap-7699	1579	3	malicious	malicious	ADJ
ap-7699	1579	4	ghosts	ghost	NOUN
ap-7699	1579	5	in	in	ADP
ap-7699	1579	6	higher	high	ADJ
ap-7699	1579	7	-	-	PUNCT
ap-7699	1579	8	derivative	derivative	ADJ
ap-7699	1579	9	theories	theory	NOUN
ap-7699	1579	10	.	.	PUNCT
ap-7699	1580	1	nuclear	nuclear	ADJ
ap-7699	1580	2	physics	physics	PROPN
ap-7699	1580	3	b	b	PROPN
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ap-7699	1580	5	,	,	PUNCT
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ap-7699	1580	7	.	.	PUNCT
ap-7699	1581	1	https://doi.org/10.1016/j.nuclphysb.2004.10.037	https://doi.org/10.1016/j.nuclphysb.2004.10.037	X
ap-7699	1581	2	.	.	PUNCT
ap-7699	1582	1	[	[	X
ap-7699	1582	2	72	72	NUM
ap-7699	1582	3	]	]	X
ap-7699	1582	4	a.	a.	NOUN
ap-7699	1582	5	v.	v.	ADP
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ap-7699	1583	5	benign	benign	ADJ
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ap-7699	1583	7	.	.	PUNCT
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ap-7699	1584	3	physics	physics	PROPN
ap-7699	1584	4	a	a	PRON
ap-7699	1584	5	:	:	PUNCT
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ap-7699	1584	7	and	and	CCONJ
ap-7699	1584	8	theoretical	theoretical	ADJ
ap-7699	1584	9	47(5):052001	47(5):052001	NUM
ap-7699	1584	10	,	,	PUNCT
ap-7699	1584	11	2014	2014	NUM
ap-7699	1584	12	.	.	PUNCT
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ap-7699	1585	2	.	.	PUNCT
ap-7699	1586	1	[	[	X
ap-7699	1586	2	73	73	NUM
ap-7699	1586	3	]	]	X
ap-7699	1586	4	d.	d.	PROPN
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ap-7699	1586	7	a.	a.	PROPN
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ap-7699	1587	4	:	:	PUNCT
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ap-7699	1587	12	hubble	hubble	ADJ
ap-7699	1587	13	constant	constant	ADJ
ap-7699	1587	14	.	.	PUNCT
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ap-7699	1588	2	and	and	CCONJ
ap-7699	1588	3	quantum	quantum	NOUN
ap-7699	1588	4	gravity	gravity	NOUN
ap-7699	1588	5	37(9):095003	37(9):095003	NUM
ap-7699	1588	6	,	,	PUNCT
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ap-7699	1588	8	.	.	PUNCT
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ap-7699	1589	2	.	.	PUNCT
ap-7699	1590	1	[	[	X
ap-7699	1590	2	74	74	X
ap-7699	1590	3	]	]	PUNCT
ap-7699	1590	4	v.	v.	PROPN
ap-7699	1590	5	i.	i.	PROPN
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ap-7699	1590	7	.	.	PUNCT
ap-7699	1591	1	towards	towards	ADP
ap-7699	1591	2	ghost	ghost	NOUN
ap-7699	1591	3	-	-	PUNCT
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ap-7699	1591	5	gravity	gravity	NOUN
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ap-7699	1592	1	modern	modern	ADJ
ap-7699	1592	2	physics	physics	NOUN
ap-7699	1592	3	letters	letter	NOUN
ap-7699	1592	4	a	a	DET
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ap-7699	1592	6	,	,	PUNCT
ap-7699	1592	7	2012	2012	NUM
ap-7699	1592	8	.	.	PUNCT
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ap-7699	1593	2	.	.	PUNCT
ap-7699	1594	1	[	[	X
ap-7699	1594	2	75	75	NUM
ap-7699	1594	3	]	]	PUNCT
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ap-7699	1595	2	coupling	coupling	NOUN
ap-7699	1595	3	approach	approach	NOUN
ap-7699	1595	4	to	to	ADP
ap-7699	1595	5	the	the	DET
ap-7699	1595	6	quantization	quantization	NOUN
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ap-7699	1595	8	conformal	conformal	ADJ
ap-7699	1595	9	gravity	gravity	NOUN
ap-7699	1595	10	.	.	PUNCT
ap-7699	1596	1	physical	physical	ADJ
ap-7699	1596	2	review	review	PROPN
ap-7699	1596	3	d	d	PROPN
ap-7699	1596	4	27(12):2819–2834	27(12):2819–2834	PROPN
ap-7699	1596	5	,	,	PUNCT
ap-7699	1596	6	1983	1983	NUM
ap-7699	1596	7	.	.	PUNCT
ap-7699	1597	1	https://doi.org/10.1103/physrevd.27.2819	https://doi.org/10.1103/physrevd.27.2819	NOUN
ap-7699	1597	2	.	.	PUNCT
ap-7699	1598	1	[	[	X
ap-7699	1598	2	76	76	NUM
ap-7699	1598	3	]	]	X
ap-7699	1598	4	e.	e.	PROPN
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ap-7699	1598	6	.	.	PUNCT
ap-7699	1599	1	1n	1n	NUM
ap-7699	1599	2	expansion	expansion	NOUN
ap-7699	1599	3	and	and	CCONJ
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ap-7699	1599	5	in	in	ADP
ap-7699	1599	6	quantum	quantum	ADJ
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ap-7699	1599	8	.	.	PUNCT
ap-7699	1600	1	physics	physics	NOUN
ap-7699	1600	2	letters	letter	NOUN
ap-7699	1600	3	b	b	PROPN
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ap-7699	1600	5	,	,	PUNCT
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ap-7699	1600	7	.	.	PUNCT
ap-7699	1601	1	https://doi.org/10.1016/0370-2693(77)90678-5	https://doi.org/10.1016/0370-2693(77)90678-5	PROPN
ap-7699	1601	2	.	.	PUNCT
ap-7699	1602	1	[	[	X
ap-7699	1602	2	77	77	NUM
ap-7699	1602	3	]	]	X
ap-7699	1602	4	e.	e.	PROPN
ap-7699	1602	5	tomboulis	tomboulis	PROPN
ap-7699	1602	6	.	.	PUNCT
ap-7699	1603	1	renormalizability	renormalizability	NOUN
ap-7699	1603	2	and	and	CCONJ
ap-7699	1603	3	asymptotic	asymptotic	ADJ
ap-7699	1603	4	freedom	freedom	NOUN
ap-7699	1603	5	in	in	ADP
ap-7699	1603	6	quantum	quantum	ADJ
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ap-7699	1603	8	.	.	PUNCT
ap-7699	1604	1	physics	physics	NOUN
ap-7699	1604	2	letters	letters	PROPN
ap-7699	1604	3	b	b	PROPN
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ap-7699	1604	5	,	,	PUNCT
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ap-7699	1604	7	.	.	PUNCT
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ap-7699	1605	2	.	.	PUNCT
ap-7699	1606	1	[	[	X
ap-7699	1606	2	78	78	NUM
ap-7699	1606	3	]	]	PUNCT
ap-7699	1606	4	e.	e.	PROPN
ap-7699	1606	5	t.	t.	PROPN
ap-7699	1606	6	tomboulis	tomboulis	PROPN
ap-7699	1606	7	.	.	PUNCT
ap-7699	1607	1	unitarity	unitarity	NOUN
ap-7699	1607	2	in	in	ADP
ap-7699	1607	3	higher	high	ADJ
ap-7699	1607	4	derivative	derivative	ADJ
ap-7699	1607	5	quantum	quantum	NOUN
ap-7699	1607	6	gravity	gravity	NOUN
ap-7699	1607	7	.	.	PUNCT
ap-7699	1608	1	physical	physical	ADJ
ap-7699	1608	2	review	review	NOUN
ap-7699	1608	3	letters	letter	VERB
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ap-7699	1608	5	,	,	PUNCT
ap-7699	1608	6	1984	1984	NUM
ap-7699	1608	7	.	.	PUNCT
ap-7699	1609	1	https://doi.org/10.1103/physrevlett.52.1173	https://doi.org/10.1103/physrevlett.52.1173	NOUN
ap-7699	1609	2	.	.	PUNCT
ap-7699	1610	1	[	[	X
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ap-7699	1610	4	f.	f.	PROPN
ap-7699	1610	5	d.	d.	PROPN
ap-7699	1610	6	o.	o.	PROPN
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ap-7699	1610	8	,	,	PUNCT
ap-7699	1610	9	i.	i.	PROPN
ap-7699	1610	10	l.	l.	PROPN
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ap-7699	1610	12	.	.	PUNCT
ap-7699	1611	1	do	do	AUX
ap-7699	1611	2	we	we	PRON
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ap-7699	1611	5	and	and	CCONJ
ap-7699	1611	6	(	(	PUNCT
ap-7699	1611	7	super)renormalizable	super)renormalizable	ADJ
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ap-7699	1612	5	,	,	PUNCT
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ap-7699	1612	7	.	.	PUNCT
ap-7699	1613	1	[	[	X
ap-7699	1613	2	erratum	erratum	NOUN
ap-7699	1613	3	:	:	PUNCT
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ap-7699	1613	6	,	,	PUNCT
ap-7699	1613	7	129903	129903	NUM
ap-7699	1613	8	(	(	PUNCT
ap-7699	1613	9	2014	2014	NUM
ap-7699	1613	10	)	)	PUNCT
ap-7699	1613	11	]	]	PUNCT
ap-7699	1613	12	,	,	PUNCT
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ap-7699	1613	14	.	.	PUNCT
ap-7699	1614	1	[	[	X
ap-7699	1614	2	80	80	NUM
ap-7699	1614	3	]	]	PUNCT
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ap-7699	1614	6	,	,	PUNCT
ap-7699	1614	7	f.	f.	PROPN
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ap-7699	1614	9	o.	o.	PROPN
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ap-7699	1614	11	,	,	PUNCT
ap-7699	1614	12	i.	i.	PROPN
ap-7699	1614	13	l.	l.	PROPN
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ap-7699	1614	15	.	.	PUNCT
ap-7699	1615	1	on	on	ADP
ap-7699	1615	2	the	the	DET
ap-7699	1615	3	ghost	ghost	NOUN
ap-7699	1615	4	-	-	PUNCT
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ap-7699	1615	8	de	de	PROPN
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ap-7699	1615	11	.	.	PUNCT
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ap-7699	1616	2	review	review	PROPN
ap-7699	1616	3	d	d	PROPN
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ap-7699	1616	5	,	,	PUNCT
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ap-7699	1616	7	.	.	PUNCT
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ap-7699	1617	2	.	.	PUNCT
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ap-7699	1618	8	,	,	PUNCT
ap-7699	1618	9	i.	i.	PROPN
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ap-7699	1619	9	.	.	PUNCT
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ap-7699	1620	3	,	,	PUNCT
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ap-7699	1620	5	.	.	PUNCT
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ap-7699	1621	2	.	.	PUNCT
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ap-7699	1622	2	82	82	NUM
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ap-7699	1623	4	positivity	positivity	NOUN
ap-7699	1623	5	in	in	ADP
ap-7699	1623	6	nonlocal	nonlocal	ADJ
ap-7699	1623	7	gravity	gravity	NOUN
ap-7699	1623	8	.	.	PUNCT
ap-7699	1624	1	jetp	jetp	PROPN
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ap-7699	1624	4	,	,	PUNCT
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ap-7699	1624	6	.	.	PUNCT
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ap-7699	1625	2	.	.	PUNCT
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ap-7699	1626	9	.	.	PUNCT
ap-7699	1627	1	cutkosky	cutkosky	PROPN
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ap-7699	1627	8	nonlocal	nonlocal	ADJ
ap-7699	1627	9	quantum	quantum	ADJ
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ap-7699	1627	11	theories	theory	NOUN
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ap-7699	1628	1	physical	physical	ADJ
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ap-7699	1628	5	,	,	PUNCT
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ap-7699	1628	7	.	.	PUNCT
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ap-7699	1629	2	.	.	PUNCT
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ap-7699	1630	18	ghosts	ghost	NOUN
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ap-7699	1631	1	physical	physical	ADJ
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ap-7699	1631	5	,	,	PUNCT
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ap-7699	1631	7	.	.	PUNCT
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ap-7699	1635	5	.	.	PUNCT
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ap-7699	1643	7	.	.	PUNCT
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ap-7699	1645	15	https://doi.org/10.1103/physrevd.97.064044	https://doi.org/10.1103/physrevd.97.064044	PROPN
ap-7699	1645	16	https://doi.org/10.3390/universe4090091	https://doi.org/10.3390/universe4090091	PROPN
ap-7699	1646	1	https://doi.org/10.1134/s0021364019050011	https://doi.org/10.1134/s0021364019050011	NUM
ap-7699	1646	2	https://doi.org/10.1103/physrevd.99.104043	https://doi.org/10.1103/physrevd.99.104043	ADJ
ap-7699	1646	3	https://doi.org/10.1103/physrevd.100.105006	https://doi.org/10.1103/physrevd.100.105006	PROPN
ap-7699	1646	4	https://doi.org/10.3390/galaxies6010023	https://doi.org/10.3390/galaxies6010023	PROPN
ap-7699	1646	5	https://doi.org/10.1088/1475-7516/2019/07/009	https://doi.org/10.1088/1475-7516/2019/07/009	PROPN
ap-7699	1646	6	https://doi.org/10.1103/physrevd.99.084041	https://doi.org/10.1103/physrevd.99.084041	NOUN
ap-7699	1646	7	acta	acta	PROPN
ap-7699	1646	8	polytechnica	polytechnica	PROPN
ap-7699	1646	9	62(1):118–156	62(1):118–156	PROPN
ap-7699	1646	10	,	,	PUNCT
ap-7699	1646	11	2022	2022	NUM
ap-7699	1646	12	1	1	NUM
ap-7699	1646	13	introduction	introduction	NOUN
ap-7699	1646	14	and	and	CCONJ
ap-7699	1646	15	motivation	motivation	NOUN
ap-7699	1646	16	1.1	1.1	NUM
ap-7699	1646	17	motivations	motivation	NOUN
ap-7699	1646	18	for	for	ADP
ap-7699	1646	19	and	and	CCONJ
ap-7699	1646	20	introduction	introduction	NOUN
ap-7699	1646	21	to	to	ADP
ap-7699	1646	22	six	six	NUM
ap-7699	1646	23	-	-	PUNCT
ap-7699	1646	24	derivative	derivative	ADJ
ap-7699	1646	25	gravitational	gravitational	ADJ
ap-7699	1646	26	theories	theory	NOUN
ap-7699	1646	27	1.2	1.2	NUM
ap-7699	1646	28	addition	addition	NOUN
ap-7699	1646	29	of	of	ADP
ap-7699	1646	30	killer	killer	NOUN
ap-7699	1646	31	operators	operator	VERB
ap-7699	1646	32	1.3	1.3	NUM
ap-7699	1646	33	universality	universality	NOUN
ap-7699	1646	34	of	of	ADP
ap-7699	1646	35	the	the	DET
ap-7699	1646	36	results	result	NOUN
ap-7699	1646	37	2	2	NUM
ap-7699	1646	38	brief	brief	ADJ
ap-7699	1646	39	description	description	NOUN
ap-7699	1646	40	of	of	ADP
ap-7699	1646	41	the	the	DET
ap-7699	1646	42	technique	technique	NOUN
ap-7699	1646	43	for	for	ADP
ap-7699	1646	44	computing	compute	VERB
ap-7699	1646	45	uv	uv	NOUN
ap-7699	1646	46	divergences	divergence	NOUN
ap-7699	1646	47	2.1	2.1	NUM
ap-7699	1646	48	example	example	NOUN
ap-7699	1646	49	of	of	ADP
ap-7699	1646	50	the	the	DET
ap-7699	1646	51	bv	bv	PROPN
ap-7699	1646	52	method	method	NOUN
ap-7699	1646	53	of	of	ADP
ap-7699	1646	54	computation	computation	NOUN
ap-7699	1646	55	for	for	ADP
ap-7699	1646	56	the	the	DET
ap-7699	1646	57	scalar	scalar	ADJ
ap-7699	1646	58	case	case	NOUN
ap-7699	1646	59	2.2	2.2	NUM
ap-7699	1646	60	results	result	NOUN
ap-7699	1646	61	in	in	ADP
ap-7699	1646	62	six	six	NUM
ap-7699	1646	63	-	-	PUNCT
ap-7699	1646	64	derivative	derivative	ADJ
ap-7699	1646	65	gravity	gravity	NOUN
ap-7699	1646	66	3	3	NUM
ap-7699	1646	67	some	some	DET
ap-7699	1646	68	theoretical	theoretical	ADJ
ap-7699	1646	69	checks	check	NOUN
ap-7699	1646	70	of	of	ADP
ap-7699	1646	71	the	the	DET
ap-7699	1646	72	results	result	NOUN
ap-7699	1646	73	(	(	PUNCT
ap-7699	1646	74	33	33	NUM
ap-7699	1646	75	)	)	SYM
ap-7699	1646	76	4	4	NUM
ap-7699	1646	77	structure	structure	NOUN
ap-7699	1646	78	of	of	ADP
ap-7699	1646	79	beta	beta	ADJ
ap-7699	1646	80	functions	function	NOUN
ap-7699	1646	81	in	in	ADP
ap-7699	1646	82	six	six	NUM
ap-7699	1646	83	-	-	PUNCT
ap-7699	1646	84	derivative	derivative	ADJ
ap-7699	1646	85	quantum	quantum	NOUN
ap-7699	1646	86	gravity	gravity	NOUN
ap-7699	1646	87	4.1	4.1	NUM
ap-7699	1646	88	limiting	limit	VERB
ap-7699	1646	89	cases	case	NOUN
ap-7699	1646	90	4.2	4.2	NUM
ap-7699	1646	91	dependence	dependence	NOUN
ap-7699	1646	92	of	of	ADP
ap-7699	1646	93	the	the	DET
ap-7699	1646	94	final	final	ADJ
ap-7699	1646	95	results	result	NOUN
ap-7699	1646	96	on	on	ADP
ap-7699	1646	97	the	the	DET
ap-7699	1646	98	fundamental	fundamental	ADJ
ap-7699	1646	99	ratio	ratio	NOUN
ap-7699	1646	100	x	x	SYM
ap-7699	1646	101	4.3	4.3	NUM
ap-7699	1646	102	case	case	NOUN
ap-7699	1646	103	of	of	ADP
ap-7699	1646	104	conformal	conformal	ADJ
ap-7699	1646	105	gravity	gravity	NOUN
ap-7699	1646	106	4.4	4.4	NUM
ap-7699	1646	107	more	more	ADV
ap-7699	1646	108	on	on	ADP
ap-7699	1646	109	limiting	limit	VERB
ap-7699	1646	110	cases	case	NOUN
ap-7699	1646	111	5	5	NUM
ap-7699	1646	112	stability	stability	NOUN
ap-7699	1646	113	of	of	ADP
ap-7699	1646	114	hd	hd	NOUN
ap-7699	1646	115	theories	theory	NOUN
ap-7699	1646	116	6	6	NUM
ap-7699	1646	117	conclusions	conclusion	NOUN
ap-7699	1646	118	acknowledgements	acknowledgement	NOUN
ap-7699	1646	119	references	reference	NOUN