id	sid	tid	token	lemma	pos
ap-1404	1	1	acta	acta	PROPN
ap-1404	1	2	polytechnica	polytechnica	PROPN
ap-1404	1	3	vol	vol	NOUN
ap-1404	1	4	.	.	PUNCT
ap-1404	2	1	51	51	NUM
ap-1404	2	2	no	no	INTJ
ap-1404	2	3	.	.	PUNCT
ap-1404	3	1	4/2011	4/2011	NUM
ap-1404	3	2	dynamical	dynamical	ADJ
ap-1404	3	3	symmetry	symmetry	NOUN
ap-1404	3	4	breaking	break	VERB
ap-1404	3	5	in	in	ADP
ap-1404	3	6	rn	rn	PROPN
ap-1404	3	7	quantum	quantum	PROPN
ap-1404	3	8	gravity	gravity	NOUN
ap-1404	3	9	a.	a.	NOUN
ap-1404	3	10	t.	t.	PROPN
ap-1404	3	11	kotvytskiy	kotvytskiy	PROPN
ap-1404	3	12	,	,	PUNCT
ap-1404	3	13	d.	d.	PROPN
ap-1404	3	14	v.	v.	PROPN
ap-1404	3	15	kruchkov	kruchkov	PROPN
ap-1404	3	16	abstract	abstract	NOUN
ap-1404	3	17	we	we	PRON
ap-1404	3	18	show	show	VERB
ap-1404	3	19	that	that	SCONJ
ap-1404	3	20	in	in	ADP
ap-1404	3	21	the	the	DET
ap-1404	3	22	rn	rn	PROPN
ap-1404	3	23	gravitation	gravitation	PROPN
ap-1404	3	24	model	model	NOUN
ap-1404	3	25	,	,	PUNCT
ap-1404	3	26	there	there	PRON
ap-1404	3	27	is	be	VERB
ap-1404	3	28	no	no	DET
ap-1404	3	29	dynamical	dynamical	ADJ
ap-1404	3	30	symmetry	symmetry	NOUN
ap-1404	3	31	breaking	break	VERB
ap-1404	3	32	effect	effect	NOUN
ap-1404	3	33	in	in	ADP
ap-1404	3	34	the	the	DET
ap-1404	3	35	formalism	formalism	NOUN
ap-1404	3	36	of	of	ADP
ap-1404	3	37	the	the	DET
ap-1404	3	38	schwinger	schwinger	NOUN
ap-1404	3	39	-	-	PUNCT
ap-1404	3	40	dyson	dyson	NOUN
ap-1404	3	41	equation	equation	NOUN
ap-1404	3	42	(	(	PUNCT
ap-1404	3	43	in	in	ADP
ap-1404	3	44	flat	flat	ADJ
ap-1404	3	45	background	background	NOUN
ap-1404	3	46	space	space	NOUN
ap-1404	3	47	-	-	PUNCT
ap-1404	3	48	time	time	NOUN
ap-1404	3	49	)	)	PUNCT
ap-1404	3	50	.	.	PUNCT
ap-1404	4	1	a	a	DET
ap-1404	4	2	general	general	ADJ
ap-1404	4	3	formula	formula	NOUN
ap-1404	4	4	for	for	ADP
ap-1404	4	5	the	the	DET
ap-1404	4	6	second	second	ADJ
ap-1404	4	7	variation	variation	NOUN
ap-1404	4	8	of	of	ADP
ap-1404	4	9	the	the	DET
ap-1404	4	10	gravitational	gravitational	ADJ
ap-1404	4	11	action	action	NOUN
ap-1404	4	12	is	be	AUX
ap-1404	4	13	obtained	obtain	VERB
ap-1404	4	14	from	from	ADP
ap-1404	4	15	the	the	DET
ap-1404	4	16	quantum	quantum	ADJ
ap-1404	4	17	corrections	correction	NOUN
ap-1404	4	18	hμν	hμν	INTJ
ap-1404	4	19	(	(	PUNCT
ap-1404	4	20	in	in	ADP
ap-1404	4	21	arbitrary	arbitrary	ADJ
ap-1404	4	22	background	background	NOUN
ap-1404	4	23	metrics	metric	NOUN
ap-1404	4	24	)	)	PUNCT
ap-1404	4	25	.	.	PUNCT
ap-1404	5	1	keywords	keyword	NOUN
ap-1404	5	2	:	:	PUNCT
ap-1404	5	3	quantum	quantum	ADJ
ap-1404	5	4	gravity	gravity	NOUN
ap-1404	5	5	,	,	PUNCT
ap-1404	5	6	schwinger	schwinger	NOUN
ap-1404	5	7	-	-	PUNCT
ap-1404	5	8	dyson	dyson	NOUN
ap-1404	5	9	equations	equation	NOUN
ap-1404	5	10	formalism	formalism	NOUN
ap-1404	5	11	,	,	PUNCT
ap-1404	5	12	dynamical	dynamical	ADJ
ap-1404	5	13	symmetry	symmetry	NOUN
ap-1404	5	14	breaking	breaking	NOUN
ap-1404	5	15	.	.	PUNCT
ap-1404	6	1	the	the	DET
ap-1404	6	2	study	study	NOUN
ap-1404	6	3	of	of	ADP
ap-1404	6	4	dynamical	dynamical	ADJ
ap-1404	6	5	mass	mass	NOUN
ap-1404	6	6	generation	generation	NOUN
ap-1404	6	7	and	and	CCONJ
ap-1404	6	8	dynamical	dynamical	ADJ
ap-1404	6	9	symmetry	symmetry	NOUN
ap-1404	6	10	breaking	break	VERB
ap-1404	6	11	in	in	ADP
ap-1404	6	12	different	different	ADJ
ap-1404	6	13	external	external	ADJ
ap-1404	6	14	fields	field	NOUN
ap-1404	6	15	[	[	X
ap-1404	6	16	1	1	NUM
ap-1404	6	17	,	,	PUNCT
ap-1404	6	18	2	2	NUM
ap-1404	6	19	]	]	PUNCT
ap-1404	6	20	,	,	PUNCT
ap-1404	6	21	including	include	VERB
ap-1404	6	22	the	the	DET
ap-1404	6	23	gravitational	gravitational	ADJ
ap-1404	6	24	field	field	NOUN
ap-1404	6	25	[	[	X
ap-1404	6	26	3–5	3–5	NOUN
ap-1404	6	27	]	]	PUNCT
ap-1404	6	28	is	be	AUX
ap-1404	6	29	an	an	DET
ap-1404	6	30	important	important	ADJ
ap-1404	6	31	step	step	NOUN
ap-1404	6	32	in	in	ADP
ap-1404	6	33	studying	study	VERB
ap-1404	6	34	fundamental	fundamental	ADJ
ap-1404	6	35	interactions	interaction	NOUN
ap-1404	6	36	,	,	PUNCT
ap-1404	6	37	which	which	PRON
ap-1404	6	38	can	can	AUX
ap-1404	6	39	either	either	CCONJ
ap-1404	6	40	be	be	AUX
ap-1404	6	41	considered	consider	VERB
ap-1404	6	42	in	in	ADP
ap-1404	6	43	field	field	NOUN
ap-1404	6	44	theory	theory	NOUN
ap-1404	6	45	and	and	CCONJ
ap-1404	6	46	an	an	DET
ap-1404	6	47	attempt	attempt	NOUN
ap-1404	6	48	at	at	ADP
ap-1404	6	49	quantization	quantization	NOUN
ap-1404	6	50	can	can	AUX
ap-1404	6	51	be	be	AUX
ap-1404	6	52	made	make	VERB
ap-1404	6	53	or	or	CCONJ
ap-1404	6	54	considered	consider	VERB
ap-1404	6	55	as	as	ADP
ap-1404	6	56	an	an	DET
ap-1404	6	57	external	external	ADJ
ap-1404	6	58	interaction	interaction	NOUN
ap-1404	6	59	.	.	PUNCT
ap-1404	7	1	this	this	DET
ap-1404	7	2	paper	paper	NOUN
ap-1404	7	3	is	be	AUX
ap-1404	7	4	devoted	devote	VERB
ap-1404	7	5	to	to	ADP
ap-1404	7	6	the	the	DET
ap-1404	7	7	possibility	possibility	NOUN
ap-1404	7	8	of	of	ADP
ap-1404	7	9	dynamical	dynamical	ADJ
ap-1404	7	10	symmetry	symmetry	NOUN
ap-1404	7	11	breaking	break	VERB
ap-1404	7	12	in	in	ADP
ap-1404	7	13	such	such	ADJ
ap-1404	7	14	gravitation	gravitation	NOUN
ap-1404	7	15	models	model	NOUN
ap-1404	7	16	using	use	VERB
ap-1404	7	17	the	the	DET
ap-1404	7	18	schwinger	schwinger	NOUN
ap-1404	7	19	-	-	PUNCT
ap-1404	7	20	dyson	dyson	NOUN
ap-1404	7	21	equation	equation	NOUN
ap-1404	7	22	formalism	formalism	NOUN
ap-1404	7	23	[	[	X
ap-1404	7	24	6–9	6–9	NOUN
ap-1404	7	25	]	]	PUNCT
ap-1404	7	26	.	.	PUNCT
ap-1404	8	1	the	the	DET
ap-1404	8	2	primary	primary	ADJ
ap-1404	8	3	goal	goal	NOUN
ap-1404	8	4	is	be	AUX
ap-1404	8	5	a	a	DET
ap-1404	8	6	study	study	NOUN
ap-1404	8	7	of	of	ADP
ap-1404	8	8	some	some	DET
ap-1404	8	9	gravity	gravity	NOUN
ap-1404	8	10	properties	property	NOUN
ap-1404	8	11	of	of	ADP
ap-1404	8	12	f(r)-gravity	f(r)-gravity	PROPN
ap-1404	8	13	[	[	X
ap-1404	8	14	10	10	NUM
ap-1404	8	15	]	]	PUNCT
ap-1404	8	16	,	,	PUNCT
ap-1404	8	17	where	where	SCONJ
ap-1404	8	18	r	r	NOUN
ap-1404	8	19	is	be	AUX
ap-1404	8	20	a	a	DET
ap-1404	8	21	scalar	scalar	ADJ
ap-1404	8	22	curvature	curvature	NOUN
ap-1404	8	23	.	.	PUNCT
ap-1404	9	1	one	one	NUM
ap-1404	9	2	of	of	ADP
ap-1404	9	3	the	the	DET
ap-1404	9	4	most	most	ADV
ap-1404	9	5	discussed	discuss	VERB
ap-1404	9	6	variants	variant	NOUN
ap-1404	9	7	of	of	ADP
ap-1404	9	8	such	such	ADJ
ap-1404	9	9	models	model	NOUN
ap-1404	9	10	is	be	AUX
ap-1404	9	11	rn	rn	PROPN
ap-1404	9	12	gravity	gravity	NOUN
ap-1404	9	13	[	[	X
ap-1404	9	14	11	11	NUM
ap-1404	9	15	,	,	PUNCT
ap-1404	9	16	12	12	NUM
ap-1404	9	17	]	]	PUNCT
ap-1404	9	18	.	.	PUNCT
ap-1404	10	1	in	in	ADP
ap-1404	10	2	particular	particular	ADJ
ap-1404	10	3	,	,	PUNCT
ap-1404	10	4	we	we	PRON
ap-1404	10	5	are	be	AUX
ap-1404	10	6	interested	interested	ADJ
ap-1404	10	7	in	in	ADP
ap-1404	10	8	a	a	DET
ap-1404	10	9	possible	possible	ADJ
ap-1404	10	10	effect	effect	NOUN
ap-1404	10	11	of	of	ADP
ap-1404	10	12	dynamical	dynamical	ADJ
ap-1404	10	13	chiral	chiral	ADJ
ap-1404	10	14	symmetry	symmetry	NOUN
ap-1404	10	15	breaking	break	VERB
ap-1404	10	16	in	in	ADP
ap-1404	10	17	this	this	DET
ap-1404	10	18	model	model	NOUN
ap-1404	10	19	under	under	ADP
ap-1404	10	20	graviton	graviton	NOUN
ap-1404	10	21	and	and	CCONJ
ap-1404	10	22	fermion	fermion	NOUN
ap-1404	10	23	interaction	interaction	NOUN
ap-1404	10	24	,	,	PUNCT
ap-1404	10	25	which	which	PRON
ap-1404	10	26	leads	lead	VERB
ap-1404	10	27	to	to	ADP
ap-1404	10	28	mass	mass	ADJ
ap-1404	10	29	formation	formation	NOUN
ap-1404	10	30	of	of	ADP
ap-1404	10	31	fermions	fermion	NOUN
ap-1404	10	32	.	.	PUNCT
ap-1404	11	1	this	this	DET
ap-1404	11	2	problem	problem	NOUN
ap-1404	11	3	is	be	AUX
ap-1404	11	4	important	important	ADJ
ap-1404	11	5	for	for	ADP
ap-1404	11	6	several	several	ADJ
ap-1404	11	7	reasons	reason	NOUN
ap-1404	11	8	.	.	PUNCT
ap-1404	12	1	first	first	ADV
ap-1404	12	2	,	,	PUNCT
ap-1404	12	3	quantum	quantum	ADJ
ap-1404	12	4	corrections	correction	NOUN
ap-1404	12	5	should	should	AUX
ap-1404	12	6	be	be	AUX
ap-1404	12	7	taken	take	VERB
ap-1404	12	8	into	into	ADP
ap-1404	12	9	consideration	consideration	NOUN
ap-1404	12	10	from	from	ADP
ap-1404	12	11	different	different	ADJ
ap-1404	12	12	scenarios	scenario	NOUN
ap-1404	12	13	describing	describe	VERB
ap-1404	12	14	the	the	DET
ap-1404	12	15	evolution	evolution	NOUN
ap-1404	12	16	of	of	ADP
ap-1404	12	17	the	the	DET
ap-1404	12	18	early	early	ADJ
ap-1404	12	19	universe	universe	NOUN
ap-1404	12	20	.	.	PUNCT
ap-1404	13	1	second	second	ADV
ap-1404	13	2	,	,	PUNCT
ap-1404	13	3	an	an	DET
ap-1404	13	4	understanding	understanding	NOUN
ap-1404	13	5	of	of	ADP
ap-1404	13	6	the	the	DET
ap-1404	13	7	dynamical	dynamical	ADJ
ap-1404	13	8	symmetry	symmetry	NOUN
ap-1404	13	9	breaking	breaking	NOUN
ap-1404	13	10	mechanism	mechanism	NOUN
ap-1404	13	11	is	be	AUX
ap-1404	13	12	important	important	ADJ
ap-1404	13	13	for	for	ADP
ap-1404	13	14	black	black	ADJ
ap-1404	13	15	hole	hole	NOUN
ap-1404	13	16	physics	physics	NOUN
ap-1404	13	17	.	.	PUNCT
ap-1404	14	1	third	third	ADJ
ap-1404	14	2	,	,	PUNCT
ap-1404	14	3	rn	rn	NOUN
ap-1404	14	4	—	—	PUNCT
ap-1404	14	5	gravity	gravity	NOUN
ap-1404	14	6	,	,	PUNCT
ap-1404	14	7	as	as	ADP
ap-1404	14	8	a	a	DET
ap-1404	14	9	modified	modify	VERB
ap-1404	14	10	theory	theory	NOUN
ap-1404	14	11	of	of	ADP
ap-1404	14	12	general	general	ADJ
ap-1404	14	13	relatity	relatity	NOUN
ap-1404	14	14	,	,	PUNCT
ap-1404	14	15	is	be	AUX
ap-1404	14	16	also	also	ADV
ap-1404	14	17	interesting	interesting	ADJ
ap-1404	14	18	from	from	ADP
ap-1404	14	19	the	the	DET
ap-1404	14	20	phenomenological	phenomenological	ADJ
ap-1404	14	21	point	point	NOUN
ap-1404	14	22	of	of	ADP
ap-1404	14	23	view	view	NOUN
ap-1404	14	24	,	,	PUNCT
ap-1404	14	25	the	the	DET
ap-1404	14	26	peculiarity	peculiarity	NOUN
ap-1404	14	27	of	of	ADP
ap-1404	14	28	which	which	PRON
ap-1404	14	29	appears	appear	VERB
ap-1404	14	30	in	in	ADP
ap-1404	14	31	various	various	ADJ
ap-1404	14	32	cosmological	cosmological	ADJ
ap-1404	14	33	models	model	NOUN
ap-1404	14	34	.	.	PUNCT
ap-1404	15	1	in	in	ADP
ap-1404	15	2	particular	particular	ADJ
ap-1404	15	3	,	,	PUNCT
ap-1404	15	4	it	it	PRON
ap-1404	15	5	is	be	AUX
ap-1404	15	6	necessary	necessary	ADJ
ap-1404	15	7	to	to	PART
ap-1404	15	8	introduce	introduce	VERB
ap-1404	15	9	either	either	CCONJ
ap-1404	15	10	dark	dark	ADJ
ap-1404	15	11	energy	energy	NOUN
ap-1404	15	12	or	or	CCONJ
ap-1404	15	13	a	a	DET
ap-1404	15	14	quintessence	quintessence	NOUN
ap-1404	15	15	with	with	ADP
ap-1404	15	16	a	a	DET
ap-1404	15	17	much	much	ADV
ap-1404	15	18	more	more	ADV
ap-1404	15	19	exotic	exotic	ADJ
ap-1404	15	20	state	state	NOUN
ap-1404	15	21	equation	equation	NOUN
ap-1404	15	22	to	to	PART
ap-1404	15	23	explain	explain	VERB
ap-1404	15	24	the	the	DET
ap-1404	15	25	accelerated	accelerated	ADJ
ap-1404	15	26	expansion	expansion	NOUN
ap-1404	15	27	of	of	ADP
ap-1404	15	28	the	the	DET
ap-1404	15	29	observed	observed	ADJ
ap-1404	15	30	universe	universe	NOUN
ap-1404	15	31	(	(	PUNCT
ap-1404	15	32	being	be	AUX
ap-1404	15	33	within	within	ADP
ap-1404	15	34	the	the	DET
ap-1404	15	35	limits	limit	NOUN
ap-1404	15	36	of	of	ADP
ap-1404	15	37	relativity	relativity	NOUN
ap-1404	15	38	theory	theory	NOUN
ap-1404	15	39	)	)	PUNCT
ap-1404	15	40	.	.	PUNCT
ap-1404	16	1	to	to	PART
ap-1404	16	2	sum	sum	VERB
ap-1404	16	3	up	up	ADP
ap-1404	16	4	,	,	PUNCT
ap-1404	16	5	it	it	PRON
ap-1404	16	6	is	be	AUX
ap-1404	16	7	significant	significant	ADJ
ap-1404	16	8	for	for	ADP
ap-1404	16	9	a	a	DET
ap-1404	16	10	description	description	NOUN
ap-1404	16	11	of	of	ADP
ap-1404	16	12	the	the	DET
ap-1404	16	13	future	future	NOUN
ap-1404	16	14	of	of	ADP
ap-1404	16	15	the	the	DET
ap-1404	16	16	universe	universe	NOUN
ap-1404	16	17	.	.	PUNCT
ap-1404	17	1	however	however	ADV
ap-1404	17	2	,	,	PUNCT
ap-1404	17	3	if	if	SCONJ
ap-1404	17	4	one	one	PRON
ap-1404	17	5	modifies	modify	VERB
ap-1404	17	6	gravity	gravity	NOUN
ap-1404	17	7	in	in	ADP
ap-1404	17	8	a	a	DET
ap-1404	17	9	proper	proper	ADJ
ap-1404	17	10	way	way	NOUN
ap-1404	17	11	,	,	PUNCT
ap-1404	17	12	it	it	PRON
ap-1404	17	13	is	be	AUX
ap-1404	17	14	also	also	ADV
ap-1404	17	15	possible	possible	ADJ
ap-1404	17	16	to	to	PART
ap-1404	17	17	receive	receive	VERB
ap-1404	17	18	interesting	interesting	ADJ
ap-1404	17	19	cosmological	cosmological	ADJ
ap-1404	17	20	dynamics	dynamic	NOUN
ap-1404	17	21	without	without	ADP
ap-1404	17	22	introducing	introduce	VERB
ap-1404	17	23	new	new	ADJ
ap-1404	17	24	concepts	concept	NOUN
ap-1404	17	25	.	.	PUNCT
ap-1404	18	1	here	here	ADV
ap-1404	18	2	,	,	PUNCT
ap-1404	18	3	we	we	PRON
ap-1404	18	4	provide	provide	VERB
ap-1404	18	5	a	a	DET
ap-1404	18	6	comparative	comparative	ADJ
ap-1404	18	7	analysis	analysis	NOUN
ap-1404	18	8	of	of	ADP
ap-1404	18	9	the	the	DET
ap-1404	18	10	above	above	ADJ
ap-1404	18	11	formalism	formalism	NOUN
ap-1404	18	12	both	both	CCONJ
ap-1404	18	13	in	in	ADP
ap-1404	18	14	the	the	DET
ap-1404	18	15	case	case	NOUN
ap-1404	18	16	of	of	ADP
ap-1404	18	17	flat	flat	ADJ
ap-1404	18	18	background	background	NOUN
ap-1404	18	19	metrics	metric	NOUN
ap-1404	18	20	(	(	PUNCT
ap-1404	18	21	minkowski	minkowski	ADJ
ap-1404	18	22	space	space	NOUN
ap-1404	18	23	)	)	PUNCT
ap-1404	18	24	and	and	CCONJ
ap-1404	18	25	in	in	ADP
ap-1404	18	26	the	the	DET
ap-1404	18	27	case	case	NOUN
ap-1404	18	28	of	of	ADP
ap-1404	18	29	an	an	DET
ap-1404	18	30	arbitrary	arbitrary	ADJ
ap-1404	18	31	background	background	NOUN
ap-1404	18	32	.	.	PUNCT
ap-1404	19	1	let	let	VERB
ap-1404	19	2	us	we	PRON
ap-1404	19	3	expand	expand	VERB
ap-1404	19	4	the	the	DET
ap-1404	19	5	four	four	NUM
ap-1404	19	6	-	-	PUNCT
ap-1404	19	7	dimensional	dimensional	ADJ
ap-1404	19	8	space	space	NOUN
ap-1404	19	9	-	-	PUNCT
ap-1404	19	10	time	time	NOUN
ap-1404	19	11	metric	metric	ADJ
ap-1404	19	12	as	as	SCONJ
ap-1404	19	13	follows	follow	VERB
ap-1404	19	14	g̃μν	g̃μν	PROPN
ap-1404	19	15	�	�	PROPN
ap-1404	19	16	gμν	gμν	PROPN
ap-1404	19	17	+	+	CCONJ
ap-1404	19	18	hμν	hμν	PROPN
ap-1404	19	19	,	,	PUNCT
ap-1404	19	20	(	(	PUNCT
ap-1404	19	21	1	1	X
ap-1404	19	22	)	)	PUNCT
ap-1404	19	23	where	where	SCONJ
ap-1404	19	24	g̃μν	g̃μν	PROPN
ap-1404	19	25	is	be	AUX
ap-1404	19	26	perturbed	perturb	VERB
ap-1404	19	27	metric	metric	ADJ
ap-1404	19	28	,	,	PUNCT
ap-1404	19	29	gμν	gμν	PROPN
ap-1404	19	30	is	be	AUX
ap-1404	19	31	background	background	NOUN
ap-1404	19	32	metric	metric	ADJ
ap-1404	19	33	,	,	PUNCT
ap-1404	19	34	hμν	hμν	NOUN
ap-1404	19	35	are	be	AUX
ap-1404	19	36	quantum	quantum	ADJ
ap-1404	19	37	corrections	correction	NOUN
ap-1404	19	38	.	.	PUNCT
ap-1404	20	1	this	this	DET
ap-1404	20	2	definition	definition	NOUN
ap-1404	20	3	leads	lead	VERB
ap-1404	20	4	to	to	ADP
ap-1404	20	5	the	the	DET
ap-1404	20	6	following	follow	VERB
ap-1404	20	7	results	result	NOUN
ap-1404	20	8	.	.	PUNCT
ap-1404	21	1	in	in	ADP
ap-1404	21	2	the	the	DET
ap-1404	21	3	case	case	NOUN
ap-1404	21	4	of	of	ADP
ap-1404	21	5	flat	flat	ADJ
ap-1404	21	6	background	background	NOUN
ap-1404	21	7	space	space	NOUN
ap-1404	21	8	-	-	PUNCT
ap-1404	21	9	time	time	NOUN
ap-1404	21	10	in	in	ADP
ap-1404	21	11	the	the	DET
ap-1404	21	12	rn	rn	PROPN
ap-1404	21	13	gravity	gravity	NOUN
ap-1404	21	14	model	model	NOUN
ap-1404	21	15	there	there	PRON
ap-1404	21	16	is	be	VERB
ap-1404	21	17	an	an	DET
ap-1404	21	18	existence	existence	NOUN
ap-1404	21	19	of	of	ADP
ap-1404	21	20	corrections	correction	NOUN
ap-1404	21	21	like	like	ADP
ap-1404	21	22	o(hn	o(hn	NUM
ap-1404	21	23	)	)	PUNCT
ap-1404	21	24	order	order	NOUN
ap-1404	21	25	and	and	CCONJ
ap-1404	21	26	higher	high	ADJ
ap-1404	21	27	that	that	PRON
ap-1404	21	28	gives	give	VERB
ap-1404	21	29	no	no	DET
ap-1404	21	30	possibility	possibility	NOUN
ap-1404	21	31	to	to	PART
ap-1404	21	32	get	get	VERB
ap-1404	21	33	the	the	DET
ap-1404	21	34	necessary	necessary	ADJ
ap-1404	21	35	equations	equation	NOUN
ap-1404	21	36	.	.	PUNCT
ap-1404	22	1	we	we	PRON
ap-1404	22	2	can	can	AUX
ap-1404	22	3	speak	speak	VERB
ap-1404	22	4	about	about	ADP
ap-1404	22	5	the	the	DET
ap-1404	22	6	absence	absence	NOUN
ap-1404	22	7	of	of	ADP
ap-1404	22	8	a	a	DET
ap-1404	22	9	symmetry	symmetry	NOUN
ap-1404	22	10	breaking	break	VERB
ap-1404	22	11	effect	effect	NOUN
ap-1404	22	12	(	(	PUNCT
ap-1404	22	13	at	at	ADP
ap-1404	22	14	least	least	ADJ
ap-1404	22	15	in	in	ADP
ap-1404	22	16	the	the	DET
ap-1404	22	17	schwinger	schwinger	NOUN
ap-1404	22	18	-	-	PUNCT
ap-1404	22	19	dyson	dyson	NOUN
ap-1404	22	20	equation	equation	NOUN
ap-1404	22	21	formalism	formalism	NOUN
ap-1404	22	22	)	)	PUNCT
ap-1404	22	23	.	.	PUNCT
ap-1404	23	1	however	however	ADV
ap-1404	23	2	,	,	PUNCT
ap-1404	23	3	if	if	SCONJ
ap-1404	23	4	the	the	DET
ap-1404	23	5	background	background	NOUN
ap-1404	23	6	metric	metric	ADJ
ap-1404	23	7	is	be	AUX
ap-1404	23	8	curved	curve	VERB
ap-1404	23	9	,	,	PUNCT
ap-1404	23	10	then	then	ADV
ap-1404	23	11	corrections	correction	NOUN
ap-1404	23	12	of	of	ADP
ap-1404	23	13	order	order	NOUN
ap-1404	23	14	appear	appear	VERB
ap-1404	23	15	and	and	CCONJ
ap-1404	23	16	,	,	PUNCT
ap-1404	23	17	particularly	particularly	ADV
ap-1404	23	18	,	,	PUNCT
ap-1404	23	19	specifically	specifically	ADV
ap-1404	23	20	quadric	quadric	ADJ
ap-1404	23	21	ones	one	NOUN
ap-1404	23	22	o(h2	o(h2	ADV
ap-1404	23	23	)	)	PUNCT
ap-1404	23	24	.	.	PUNCT
ap-1404	24	1	they	they	PRON
ap-1404	24	2	allow	allow	VERB
ap-1404	24	3	us	we	PRON
ap-1404	24	4	to	to	PART
ap-1404	24	5	obtain	obtain	VERB
ap-1404	24	6	the	the	DET
ap-1404	24	7	schwingerdyson	schwingerdyson	NOUN
ap-1404	24	8	equations	equation	NOUN
ap-1404	24	9	and	and	CCONJ
ap-1404	24	10	to	to	PART
ap-1404	24	11	test	test	VERB
ap-1404	24	12	them	they	PRON
ap-1404	24	13	for	for	ADP
ap-1404	24	14	possible	possible	ADJ
ap-1404	24	15	dynamical	dynamical	ADJ
ap-1404	24	16	symmetry	symmetry	NOUN
ap-1404	24	17	breaking	breaking	NOUN
ap-1404	24	18	.	.	PUNCT
ap-1404	25	1	an	an	DET
ap-1404	25	2	important	important	ADJ
ap-1404	25	3	conclusion	conclusion	NOUN
ap-1404	25	4	is	be	AUX
ap-1404	25	5	the	the	DET
ap-1404	25	6	following	following	NOUN
ap-1404	25	7	:	:	PUNCT
ap-1404	25	8	if	if	SCONJ
ap-1404	25	9	our	our	PRON
ap-1404	25	10	real	real	ADJ
ap-1404	25	11	universe	universe	NOUN
ap-1404	25	12	is	be	AUX
ap-1404	25	13	described	describe	VERB
ap-1404	25	14	by	by	ADP
ap-1404	25	15	a	a	DET
ap-1404	25	16	curved	curved	ADJ
ap-1404	25	17	metric	metric	NOUN
ap-1404	25	18	,	,	PUNCT
ap-1404	25	19	then	then	ADV
ap-1404	25	20	while	while	SCONJ
ap-1404	25	21	constructing	construct	VERB
ap-1404	25	22	quantum	quantum	NOUN
ap-1404	25	23	gravity	gravity	NOUN
ap-1404	25	24	theory	theory	NOUN
ap-1404	25	25	,	,	PUNCT
ap-1404	25	26	we	we	PRON
ap-1404	25	27	should	should	AUX
ap-1404	25	28	take	take	VERB
ap-1404	25	29	into	into	ADP
ap-1404	25	30	consideration	consideration	NOUN
ap-1404	25	31	the	the	DET
ap-1404	25	32	summands	summand	NOUN
ap-1404	25	33	of	of	ADP
ap-1404	25	34	all	all	DET
ap-1404	25	35	powers	power	NOUN
ap-1404	25	36	in	in	ADP
ap-1404	25	37	r	r	NOUN
ap-1404	25	38	,	,	PUNCT
ap-1404	25	39	as	as	SCONJ
ap-1404	25	40	they	they	PRON
ap-1404	25	41	provide	provide	VERB
ap-1404	25	42	the	the	DET
ap-1404	25	43	same	same	ADJ
ap-1404	25	44	degree	degree	NOUN
ap-1404	25	45	in	in	ADP
ap-1404	25	46	small	small	ADJ
ap-1404	25	47	quantum	quantum	ADJ
ap-1404	25	48	corrections	correction	NOUN
ap-1404	25	49	h.	h.	NOUN
ap-1404	25	50	1	1	NUM
ap-1404	25	51	schwinger	schwinger	NOUN
ap-1404	25	52	-	-	PUNCT
ap-1404	25	53	dyson	dyson	NOUN
ap-1404	25	54	equations	equation	NOUN
ap-1404	25	55	one	one	NUM
ap-1404	25	56	possible	possible	ADJ
ap-1404	25	57	method	method	NOUN
ap-1404	25	58	for	for	ADP
ap-1404	25	59	a	a	DET
ap-1404	25	60	dynamical	dynamical	ADJ
ap-1404	25	61	symmetry	symmetry	NOUN
ap-1404	25	62	breaking	break	VERB
ap-1404	25	63	study	study	NOUN
ap-1404	25	64	is	be	AUX
ap-1404	25	65	the	the	DET
ap-1404	25	66	schwinger	schwinger	NOUN
ap-1404	25	67	-	-	PUNCT
ap-1404	25	68	dyson	dyson	NOUN
ap-1404	25	69	equation	equation	NOUN
ap-1404	25	70	formalism	formalism	NOUN
ap-1404	25	71	.	.	PUNCT
ap-1404	26	1	since	since	SCONJ
ap-1404	26	2	it	it	PRON
ap-1404	26	3	is	be	AUX
ap-1404	26	4	impossible	impossible	ADJ
ap-1404	26	5	to	to	PART
ap-1404	26	6	write	write	VERB
ap-1404	26	7	closed	closed	ADJ
ap-1404	26	8	system	system	NOUN
ap-1404	26	9	equations	equation	NOUN
ap-1404	26	10	for	for	ADP
ap-1404	26	11	all	all	DET
ap-1404	26	12	elements	element	NOUN
ap-1404	26	13	of	of	ADP
ap-1404	26	14	the	the	DET
ap-1404	26	15	feynman	feynman	PROPN
ap-1404	26	16	diagram	diagram	PROPN
ap-1404	26	17	,	,	PUNCT
ap-1404	26	18	we	we	PRON
ap-1404	26	19	have	have	VERB
ap-1404	26	20	to	to	PART
ap-1404	26	21	use	use	VERB
ap-1404	26	22	some	some	DET
ap-1404	26	23	approximations	approximation	NOUN
ap-1404	26	24	,	,	PUNCT
ap-1404	26	25	which	which	PRON
ap-1404	26	26	allow	allow	VERB
ap-1404	26	27	us	we	PRON
ap-1404	26	28	to	to	PART
ap-1404	26	29	solve	solve	VERB
ap-1404	26	30	the	the	DET
ap-1404	26	31	schwinger	schwinger	NOUN
ap-1404	26	32	-	-	PUNCT
ap-1404	26	33	dyson	dyson	NOUN
ap-1404	26	34	equation	equation	NOUN
ap-1404	26	35	and	and	CCONJ
ap-1404	26	36	to	to	PART
ap-1404	26	37	find	find	VERB
ap-1404	26	38	the	the	DET
ap-1404	26	39	type	type	NOUN
ap-1404	26	40	of	of	ADP
ap-1404	26	41	exact	exact	ADJ
ap-1404	26	42	propagator	propagator	NOUN
ap-1404	26	43	.	.	PUNCT
ap-1404	27	1	exact	exact	ADJ
ap-1404	27	2	propagators	propagator	NOUN
ap-1404	27	3	and	and	CCONJ
ap-1404	27	4	the	the	DET
ap-1404	27	5	vertex	vertex	NOUN
ap-1404	27	6	part	part	NOUN
ap-1404	27	7	are	be	AUX
ap-1404	27	8	connected	connect	VERB
ap-1404	27	9	by	by	ADP
ap-1404	27	10	the	the	DET
ap-1404	27	11	integral	integral	ADJ
ap-1404	27	12	relation	relation	NOUN
ap-1404	27	13	,	,	PUNCT
ap-1404	27	14	s−1	s−1	PROPN
ap-1404	27	15	−	−	PROPN
ap-1404	27	16	s−1	s−1	PROPN
ap-1404	27	17	0	0	NUM
ap-1404	28	1	=	=	NOUN
ap-1404	28	2	i	i	PRON
ap-1404	28	3	δγ2	δγ2	VERB
ap-1404	28	4	δs	δs	ADP
ap-1404	28	5	(	(	PUNCT
ap-1404	28	6	2	2	NUM
ap-1404	28	7	)	)	PUNCT
ap-1404	28	8	54	54	NUM
ap-1404	28	9	acta	acta	PROPN
ap-1404	28	10	polytechnica	polytechnica	PROPN
ap-1404	28	11	vol	vol	NOUN
ap-1404	28	12	.	.	PUNCT
ap-1404	29	1	51	51	NUM
ap-1404	29	2	no	no	INTJ
ap-1404	29	3	.	.	PUNCT
ap-1404	30	1	4/2011	4/2011	NUM
ap-1404	30	2	where	where	SCONJ
ap-1404	30	3	s	s	X
ap-1404	30	4	,	,	PUNCT
ap-1404	30	5	s0	s0	NOUN
ap-1404	30	6	–	–	PUNCT
ap-1404	30	7	exact	exact	ADJ
ap-1404	30	8	and	and	CCONJ
ap-1404	30	9	free	free	ADJ
ap-1404	30	10	fermion	fermion	NOUN
ap-1404	30	11	propagators	propagator	NOUN
ap-1404	30	12	,	,	PUNCT
ap-1404	30	13	δγ2	δγ2	VERB
ap-1404	30	14	δs	δs	NOUN
ap-1404	30	15	–	–	PUNCT
ap-1404	30	16	describes	describe	VERB
ap-1404	30	17	two	two	NUM
ap-1404	30	18	particle	particle	NOUN
ap-1404	30	19	and	and	CCONJ
ap-1404	30	20	irreducible	irreducible	ADJ
ap-1404	30	21	interaction	interaction	NOUN
ap-1404	30	22	diagrams	diagram	NOUN
ap-1404	30	23	,	,	PUNCT
ap-1404	30	24	and	and	CCONJ
ap-1404	30	25	γ2	γ2	NOUN
ap-1404	30	26	is	be	AUX
ap-1404	30	27	a	a	DET
ap-1404	30	28	part	part	NOUN
ap-1404	30	29	of	of	ADP
ap-1404	30	30	the	the	DET
ap-1404	30	31	effective	effective	ADJ
ap-1404	30	32	action	action	NOUN
ap-1404	30	33	γ[s	γ[s	PROPN
ap-1404	30	34	]	]	X
ap-1404	31	1	=	=	PUNCT
ap-1404	31	2	−isp	−isp	NOUN
ap-1404	31	3	(	(	PUNCT
ap-1404	31	4	log	log	VERB
ap-1404	31	5	s−1	s−1	NOUN
ap-1404	31	6	+	+	CCONJ
ap-1404	31	7	s−1	s−1	PROPN
ap-1404	31	8	0	0	NUM
ap-1404	31	9	s	s	PART
ap-1404	31	10	)	)	PUNCT
ap-1404	31	11	+	+	CCONJ
ap-1404	31	12	γ2[s	γ2[s	NOUN
ap-1404	31	13	]	]	X
ap-1404	31	14	.	.	PUNCT
ap-1404	32	1	(	(	PUNCT
ap-1404	32	2	3	3	X
ap-1404	32	3	)	)	PUNCT
ap-1404	32	4	here	here	ADV
ap-1404	32	5	we	we	PRON
ap-1404	32	6	confine	confine	VERB
ap-1404	32	7	ourselves	ourselves	PRON
ap-1404	32	8	to	to	ADP
ap-1404	32	9	the	the	DET
ap-1404	32	10	exact	exact	ADJ
ap-1404	32	11	fermion	fermion	NOUN
ap-1404	32	12	propagator	propagator	NOUN
ap-1404	32	13	,	,	PUNCT
ap-1404	32	14	which	which	PRON
ap-1404	32	15	is	be	AUX
ap-1404	32	16	written	write	VERB
ap-1404	32	17	down	down	ADP
ap-1404	32	18	in	in	ADP
ap-1404	32	19	original	original	ADJ
ap-1404	32	20	type	type	NOUN
ap-1404	32	21	s(p	s(p	NOUN
ap-1404	32	22	)	)	PUNCT
ap-1404	32	23	=	=	SYM
ap-1404	32	24	1	1	NUM
ap-1404	32	25	a(p2)pμγμ	a(p2)pμγμ	NOUN
ap-1404	32	26	−	−	PROPN
ap-1404	32	27	b(p2	b(p2	NOUN
ap-1404	32	28	)	)	PUNCT
ap-1404	32	29	,	,	PUNCT
ap-1404	32	30	(	(	PUNCT
ap-1404	32	31	4	4	X
ap-1404	32	32	)	)	PUNCT
ap-1404	32	33	where	where	SCONJ
ap-1404	32	34	a(p2	a(p2	ADJ
ap-1404	32	35	)	)	PUNCT
ap-1404	32	36	,	,	PUNCT
ap-1404	32	37	b(p2	b(p2	NOUN
ap-1404	32	38	)	)	PUNCT
ap-1404	32	39	are	be	AUX
ap-1404	32	40	some	some	DET
ap-1404	32	41	unknown	unknown	ADJ
ap-1404	32	42	functions	function	NOUN
ap-1404	32	43	of	of	ADP
ap-1404	32	44	the	the	DET
ap-1404	32	45	fourth	fourth	ADJ
ap-1404	32	46	momentum	momentum	NOUN
ap-1404	32	47	p	p	NOUN
ap-1404	32	48	,	,	PUNCT
ap-1404	32	49	γμ	γμ	VERB
ap-1404	32	50	are	be	AUX
ap-1404	32	51	dirac	dirac	NOUN
ap-1404	32	52	matrices	matrix	NOUN
ap-1404	32	53	.	.	PUNCT
ap-1404	33	1	then	then	ADV
ap-1404	33	2	the	the	DET
ap-1404	33	3	schwinger	schwinger	NOUN
ap-1404	33	4	-	-	PUNCT
ap-1404	33	5	dyson	dyson	NOUN
ap-1404	33	6	equation	equation	NOUN
ap-1404	33	7	for	for	ADP
ap-1404	33	8	this	this	DET
ap-1404	33	9	propagator	propagator	NOUN
ap-1404	33	10	can	can	AUX
ap-1404	33	11	be	be	AUX
ap-1404	33	12	put	put	VERB
ap-1404	33	13	down	down	ADP
ap-1404	33	14	like	like	ADP
ap-1404	33	15	[	[	X
ap-1404	33	16	13–15	13–15	NUM
ap-1404	33	17	]	]	X
ap-1404	33	18	(	(	PUNCT
ap-1404	33	19	a	a	DET
ap-1404	33	20	−	−	PROPN
ap-1404	33	21	1)pμγμ	1)pμγμ	NUM
ap-1404	34	1	−	−	PROPN
ap-1404	34	2	b	b	NOUN
ap-1404	34	3	=	=	SYM
ap-1404	34	4	∫	∫	PROPN
ap-1404	34	5	d4q	d4q	PROPN
ap-1404	34	6	(	(	PUNCT
ap-1404	34	7	2π)4i	2π)4i	NUM
ap-1404	34	8	γαβ(p	γαβ(p	PROPN
ap-1404	34	9	,	,	PUNCT
ap-1404	34	10	q	q	NOUN
ap-1404	34	11	−	−	PROPN
ap-1404	34	12	p)s′(q	p)s′(q	PROPN
ap-1404	34	13	)	)	PUNCT
ap-1404	34	14	·	·	PUNCT
ap-1404	34	15	γ′	γ′	NOUN
ap-1404	35	1	μν(q	μν(q	NOUN
ap-1404	35	2	,	,	PUNCT
ap-1404	35	3	p	p	NOUN
ap-1404	35	4	−	−	PROPN
ap-1404	35	5	q)g′αβμν(p	q)g′αβμν(p	PROPN
ap-1404	35	6	−	−	PROPN
ap-1404	35	7	q	q	NOUN
ap-1404	35	8	)	)	PUNCT
ap-1404	35	9	,	,	PUNCT
ap-1404	35	10	(	(	PUNCT
ap-1404	35	11	5	5	X
ap-1404	35	12	)	)	PUNCT
ap-1404	35	13	where	where	SCONJ
ap-1404	35	14	γ′	γ′	PROPN
ap-1404	35	15	,	,	PUNCT
ap-1404	35	16	g′	g′	NOUN
ap-1404	35	17	are	be	AUX
ap-1404	35	18	an	an	DET
ap-1404	35	19	exact	exact	ADJ
ap-1404	35	20	vertex	vertex	NOUN
ap-1404	35	21	function	function	NOUN
ap-1404	35	22	and	and	CCONJ
ap-1404	35	23	an	an	DET
ap-1404	35	24	exact	exact	ADJ
ap-1404	35	25	graviton	graviton	NOUN
ap-1404	35	26	propagator	propagator	NOUN
ap-1404	35	27	.	.	PUNCT
ap-1404	36	1	the	the	DET
ap-1404	36	2	infinite	infinite	ADJ
ap-1404	36	3	set	set	NOUN
ap-1404	36	4	of	of	ADP
ap-1404	36	5	sdes	sde	NOUN
ap-1404	36	6	determining	determine	VERB
ap-1404	36	7	the	the	DET
ap-1404	36	8	exact	exact	ADJ
ap-1404	36	9	fermion	fermion	NOUN
ap-1404	36	10	and	and	CCONJ
ap-1404	36	11	boson	boson	NOUN
ap-1404	36	12	green	green	ADJ
ap-1404	36	13	functions	function	NOUN
ap-1404	36	14	,	,	PUNCT
ap-1404	36	15	as	as	ADV
ap-1404	36	16	well	well	ADV
ap-1404	36	17	as	as	ADP
ap-1404	36	18	the	the	DET
ap-1404	36	19	full	full	ADJ
ap-1404	36	20	interaction	interaction	NOUN
ap-1404	36	21	vertex	vertex	NOUN
ap-1404	36	22	,	,	PUNCT
ap-1404	36	23	can	can	AUX
ap-1404	36	24	be	be	AUX
ap-1404	36	25	solved	solve	VERB
ap-1404	36	26	within	within	ADP
ap-1404	36	27	some	some	DET
ap-1404	36	28	truncation	truncation	NOUN
ap-1404	36	29	version	version	NOUN
ap-1404	36	30	only	only	ADV
ap-1404	36	31	.	.	PUNCT
ap-1404	37	1	this	this	PRON
ap-1404	37	2	means	mean	VERB
ap-1404	37	3	that	that	SCONJ
ap-1404	37	4	the	the	DET
ap-1404	37	5	only	only	ADJ
ap-1404	37	6	subset	subset	NOUN
ap-1404	37	7	of	of	ADP
ap-1404	37	8	feynman	feynman	PROPN
ap-1404	37	9	graphs	graph	NOUN
ap-1404	37	10	is	be	AUX
ap-1404	37	11	taken	take	VERB
ap-1404	37	12	into	into	ADP
ap-1404	37	13	account	account	NOUN
ap-1404	37	14	,	,	PUNCT
ap-1404	37	15	which	which	PRON
ap-1404	37	16	naturally	naturally	ADV
ap-1404	37	17	leads	lead	VERB
ap-1404	37	18	to	to	ADP
ap-1404	37	19	the	the	DET
ap-1404	37	20	disappearance	disappearance	NOUN
ap-1404	37	21	of	of	ADP
ap-1404	37	22	the	the	DET
ap-1404	37	23	magical	magical	ADJ
ap-1404	37	24	cancellation	cancellation	NOUN
ap-1404	37	25	of	of	ADP
ap-1404	37	26	gauge	gauge	NOUN
ap-1404	37	27	-	-	PUNCT
ap-1404	37	28	dependent	dependent	ADJ
ap-1404	37	29	terms	term	NOUN
ap-1404	37	30	in	in	ADP
ap-1404	37	31	the	the	DET
ap-1404	37	32	s	s	NOUN
ap-1404	37	33	-	-	PUNCT
ap-1404	37	34	matrix	matrix	NOUN
ap-1404	37	35	expansion	expansion	NOUN
ap-1404	37	36	.	.	PUNCT
ap-1404	38	1	for	for	ADP
ap-1404	38	2	this	this	DET
ap-1404	38	3	reason	reason	NOUN
ap-1404	38	4	,	,	PUNCT
ap-1404	38	5	the	the	DET
ap-1404	38	6	most	most	ADV
ap-1404	38	7	widespread	widespread	ADJ
ap-1404	38	8	ladder	ladder	NOUN
ap-1404	38	9	approximation	approximation	NOUN
ap-1404	38	10	gives	give	VERB
ap-1404	38	11	gauge	gauge	NOUN
ap-1404	38	12	-	-	PUNCT
ap-1404	38	13	dependent	dependent	ADJ
ap-1404	38	14	results	result	NOUN
ap-1404	38	15	,	,	PUNCT
ap-1404	38	16	when	when	SCONJ
ap-1404	38	17	the	the	DET
ap-1404	38	18	fermion	fermion	NOUN
ap-1404	38	19	green	green	ADJ
ap-1404	38	20	function	function	PROPN
ap-1404	38	21	is	be	AUX
ap-1404	38	22	treated	treat	VERB
ap-1404	38	23	to	to	PART
ap-1404	38	24	be	be	AUX
ap-1404	38	25	exact	exact	ADJ
ap-1404	38	26	only	only	ADV
ap-1404	38	27	in	in	ADP
ap-1404	38	28	the	the	DET
ap-1404	38	29	case	case	NOUN
ap-1404	38	30	when	when	SCONJ
ap-1404	38	31	the	the	DET
ap-1404	38	32	boson	boson	NOUN
ap-1404	38	33	propagator	propagator	NOUN
ap-1404	38	34	and	and	CCONJ
ap-1404	38	35	the	the	DET
ap-1404	38	36	interaction	interaction	NOUN
ap-1404	38	37	vertex	vertex	NOUN
ap-1404	38	38	are	be	AUX
ap-1404	38	39	taken	take	VERB
ap-1404	38	40	to	to	PART
ap-1404	38	41	be	be	AUX
ap-1404	38	42	free	free	ADJ
ap-1404	38	43	[	[	X
ap-1404	38	44	14	14	NUM
ap-1404	38	45	]	]	PUNCT
ap-1404	38	46	.	.	PUNCT
ap-1404	39	1	in	in	ADP
ap-1404	39	2	this	this	DET
ap-1404	39	3	way	way	NOUN
ap-1404	39	4	,	,	PUNCT
ap-1404	39	5	we	we	PRON
ap-1404	39	6	can	can	AUX
ap-1404	39	7	define	define	VERB
ap-1404	39	8	the	the	DET
ap-1404	39	9	functions	function	NOUN
ap-1404	39	10	a(p2	a(p2	ADJ
ap-1404	39	11	)	)	PUNCT
ap-1404	39	12	,	,	PUNCT
ap-1404	39	13	b(p2	b(p2	NOUN
ap-1404	39	14	)	)	PUNCT
ap-1404	39	15	for	for	ADP
ap-1404	39	16	the	the	DET
ap-1404	39	17	quantum	quantum	PROPN
ap-1404	39	18	rn	rn	PROPN
ap-1404	39	19	-gravity	-gravity	PROPN
ap-1404	39	20	.	.	PUNCT
ap-1404	40	1	the	the	DET
ap-1404	40	2	following	follow	VERB
ap-1404	40	3	important	important	ADJ
ap-1404	40	4	remark	remark	NOUN
ap-1404	40	5	should	should	AUX
ap-1404	40	6	also	also	ADV
ap-1404	40	7	be	be	AUX
ap-1404	40	8	made	make	VERB
ap-1404	40	9	.	.	PUNCT
ap-1404	41	1	we	we	PRON
ap-1404	41	2	have	have	VERB
ap-1404	41	3	to	to	PART
ap-1404	41	4	decide	decide	VERB
ap-1404	41	5	what	what	PRON
ap-1404	41	6	kind	kind	NOUN
ap-1404	41	7	of	of	ADP
ap-1404	41	8	gravity	gravity	NOUN
ap-1404	41	9	action	action	NOUN
ap-1404	41	10	and	and	CCONJ
ap-1404	41	11	gauge	gauge	NOUN
ap-1404	41	12	-	-	PUNCT
ap-1404	41	13	fixing	fix	VERB
ap-1404	41	14	term	term	NOUN
ap-1404	41	15	should	should	AUX
ap-1404	41	16	be	be	AUX
ap-1404	41	17	used	use	VERB
ap-1404	41	18	.	.	PUNCT
ap-1404	42	1	it	it	PRON
ap-1404	42	2	is	be	AUX
ap-1404	42	3	convenient	convenient	ADJ
ap-1404	42	4	to	to	PART
ap-1404	42	5	bring	bring	VERB
ap-1404	42	6	the	the	DET
ap-1404	42	7	following	follow	VERB
ap-1404	42	8	condition	condition	NOUN
ap-1404	42	9	sgf	sgf	PROPN
ap-1404	42	10	=	=	PROPN
ap-1404	42	11	−β1	−β1	PROPN
ap-1404	42	12	2m2	2m2	NUM
ap-1404	42	13	∫	∫	NOUN
ap-1404	42	14	d4x	d4x	PROPN
ap-1404	42	15	√	√	PROPN
ap-1404	42	16	−g	−g	NOUN
ap-1404	42	17	(	(	PUNCT
ap-1404	42	18	∇λhλ	∇λhλ	ADJ
ap-1404	42	19	μ	μ	PROPN
ap-1404	42	20	−	−	PROPN
ap-1404	42	21	β2∇μh	β2∇μh	PROPN
ap-1404	42	22	)	)	PUNCT
ap-1404	42	23	·	·	PUNCT
ap-1404	43	1	(	(	PUNCT
ap-1404	43	2	gμν∇ρ∇ρ	gμν∇ρ∇ρ	X
ap-1404	43	3	+	+	NUM
ap-1404	43	4	β3∇μ∇ν	β3∇μ∇ν	X
ap-1404	43	5	)	)	PUNCT
ap-1404	43	6	×	×	NOUN
ap-1404	43	7	(	(	PUNCT
ap-1404	43	8	6	6	NUM
ap-1404	43	9	)	)	PUNCT
ap-1404	43	10	(	(	PUNCT
ap-1404	43	11	∇σhσ	∇σhσ	NOUN
ap-1404	43	12	ν	ν	X
ap-1404	43	13	−	−	PROPN
ap-1404	43	14	β2∇νh	β2∇νh	PROPN
ap-1404	43	15	)	)	PUNCT
ap-1404	43	16	,	,	PUNCT
ap-1404	43	17	where	where	SCONJ
ap-1404	43	18	β1	β1	PROPN
ap-1404	43	19	,	,	PUNCT
ap-1404	43	20	β2	β2	NOUN
ap-1404	43	21	,	,	PUNCT
ap-1404	43	22	β3	β3	NOUN
ap-1404	43	23	are	be	AUX
ap-1404	43	24	arbitrary	arbitrary	ADJ
ap-1404	43	25	parameters	parameter	NOUN
ap-1404	43	26	.	.	PUNCT
ap-1404	44	1	then	then	ADV
ap-1404	44	2	,	,	PUNCT
ap-1404	44	3	putting	put	VERB
ap-1404	44	4	down	down	ADP
ap-1404	44	5	the	the	DET
ap-1404	44	6	second	second	ADJ
ap-1404	44	7	variation	variation	NOUN
ap-1404	44	8	of	of	ADP
ap-1404	44	9	the	the	DET
ap-1404	44	10	full	full	ADJ
ap-1404	44	11	action	action	NOUN
ap-1404	44	12	which	which	PRON
ap-1404	44	13	we	we	PRON
ap-1404	44	14	can	can	AUX
ap-1404	44	15	describe	describe	VERB
ap-1404	44	16	as	as	ADP
ap-1404	44	17	the	the	DET
ap-1404	44	18	sum	sum	NOUN
ap-1404	44	19	of	of	ADP
ap-1404	44	20	the	the	DET
ap-1404	44	21	gravitational	gravitational	ADJ
ap-1404	44	22	field	field	NOUN
ap-1404	44	23	action	action	NOUN
ap-1404	44	24	and	and	CCONJ
ap-1404	44	25	the	the	DET
ap-1404	44	26	gauge	gauge	NOUN
ap-1404	44	27	-	-	PUNCT
ap-1404	44	28	fixing	fix	VERB
ap-1404	44	29	action	action	NOUN
ap-1404	44	30	in	in	ADP
ap-1404	44	31	the	the	DET
ap-1404	44	32	form	form	NOUN
ap-1404	44	33	δ2	δ2	VERB
ap-1404	44	34	(	(	PUNCT
ap-1404	44	35	sg	sg	PROPN
ap-1404	44	36	+	+	X
ap-1404	44	37	sgf	sgf	PROPN
ap-1404	44	38	)	)	PUNCT
ap-1404	44	39	=	=	SYM
ap-1404	44	40	1	1	NUM
ap-1404	44	41	2m2	2m2	NUM
ap-1404	44	42	∫	∫	PROPN
ap-1404	44	43	d4xhμνhμνρσhρσ	d4xhμνhμνρσhρσ	PROPN
ap-1404	44	44	.	.	PUNCT
ap-1404	45	1	(	(	PUNCT
ap-1404	45	2	7	7	NUM
ap-1404	45	3	)	)	PUNCT
ap-1404	45	4	then	then	ADV
ap-1404	45	5	the	the	DET
ap-1404	45	6	gravitational	gravitational	ADJ
ap-1404	45	7	field	field	NOUN
ap-1404	45	8	propagator	propagator	NOUN
ap-1404	45	9	is	be	AUX
ap-1404	45	10	defined	define	VERB
ap-1404	45	11	as	as	ADP
ap-1404	45	12	an	an	DET
ap-1404	45	13	operator	operator	NOUN
ap-1404	45	14	inverse	inverse	NOUN
ap-1404	45	15	to	to	ADP
ap-1404	45	16	hμνρσ	hμνρσ	PROPN
ap-1404	45	17	,	,	PUNCT
ap-1404	45	18	that	that	PRON
ap-1404	45	19	is	be	AUX
ap-1404	45	20	gμνρσ	gμνρσ	ADJ
ap-1404	45	21	=	=	SYM
ap-1404	45	22	m2	m2	PROPN
ap-1404	45	23	(	(	PUNCT
ap-1404	45	24	h−1)μνρσ	h−1)μνρσ	PROPN
ap-1404	45	25	.	.	PUNCT
ap-1404	46	1	(	(	PUNCT
ap-1404	46	2	8)	8)	NUM
ap-1404	46	3	let	let	VERB
ap-1404	46	4	us	we	PRON
ap-1404	46	5	include	include	VERB
ap-1404	46	6	the	the	DET
ap-1404	46	7	gravitational	gravitational	ADJ
ap-1404	46	8	field	field	NOUN
ap-1404	46	9	in	in	ADP
ap-1404	46	10	our	our	PRON
ap-1404	46	11	consideration	consideration	NOUN
ap-1404	46	12	.	.	PUNCT
ap-1404	47	1	2	2	NUM
ap-1404	47	2	flat	flat	ADJ
ap-1404	47	3	background	background	NOUN
ap-1404	47	4	metric	metric	ADV
ap-1404	47	5	here	here	ADV
ap-1404	47	6	we	we	PRON
ap-1404	47	7	single	single	VERB
ap-1404	47	8	out	out	ADP
ap-1404	47	9	the	the	DET
ap-1404	47	10	part	part	NOUN
ap-1404	47	11	of	of	ADP
ap-1404	47	12	the	the	DET
ap-1404	47	13	quadratic	quadratic	ADJ
ap-1404	47	14	action	action	NOUN
ap-1404	47	15	according	accord	VERB
ap-1404	47	16	to	to	ADP
ap-1404	47	17	corrections	correction	NOUN
ap-1404	47	18	h	h	NOUN
ap-1404	47	19	,	,	PUNCT
ap-1404	47	20	in	in	ADP
ap-1404	47	21	order	order	NOUN
ap-1404	47	22	to	to	PART
ap-1404	47	23	put	put	VERB
ap-1404	47	24	down	down	ADP
ap-1404	47	25	the	the	DET
ap-1404	47	26	schwinger	schwinger	NOUN
ap-1404	47	27	-	-	PUNCT
ap-1404	47	28	dyson	dyson	NOUN
ap-1404	47	29	equations	equation	NOUN
ap-1404	47	30	.	.	PUNCT
ap-1404	48	1	instead	instead	ADV
ap-1404	48	2	of	of	ADP
ap-1404	48	3	(	(	PUNCT
ap-1404	48	4	1	1	X
ap-1404	48	5	)	)	PUNCT
ap-1404	48	6	the	the	DET
ap-1404	48	7	perturbed	perturb	VERB
ap-1404	48	8	metric	metric	NOUN
ap-1404	48	9	will	will	AUX
ap-1404	48	10	be	be	AUX
ap-1404	48	11	written	write	VERB
ap-1404	48	12	down	down	ADP
ap-1404	48	13	as	as	ADP
ap-1404	48	14	gμν	gμν	PROPN
ap-1404	48	15	�	�	PROPN
ap-1404	48	16	ημν	ημν	PROPN
ap-1404	48	17	+	+	CCONJ
ap-1404	48	18	hμν	hμν	NOUN
ap-1404	48	19	,	,	PUNCT
ap-1404	48	20	(	(	PUNCT
ap-1404	48	21	9	9	X
ap-1404	48	22	)	)	PUNCT
ap-1404	48	23	where	where	SCONJ
ap-1404	48	24	ημν	ημν	PROPN
ap-1404	48	25	is	be	AUX
ap-1404	48	26	the	the	DET
ap-1404	48	27	minkowski	minkowski	ADJ
ap-1404	48	28	metric	metric	NOUN
ap-1404	48	29	(	(	PUNCT
ap-1404	48	30	we	we	PRON
ap-1404	48	31	choose	choose	VERB
ap-1404	48	32	the	the	DET
ap-1404	48	33	signature	signature	NOUN
ap-1404	48	34	(	(	PUNCT
ap-1404	48	35	+	+	CCONJ
ap-1404	48	36	−−−	−−−	NOUN
ap-1404	48	37	)	)	PUNCT
ap-1404	48	38	)	)	PUNCT
ap-1404	48	39	.	.	PUNCT
ap-1404	49	1	we	we	PRON
ap-1404	49	2	consider	consider	VERB
ap-1404	49	3	the	the	DET
ap-1404	49	4	following	follow	VERB
ap-1404	49	5	action	action	NOUN
ap-1404	49	6	sg	sg	ADP
ap-1404	49	7	=	=	SYM
ap-1404	49	8	1	1	NUM
ap-1404	49	9	2m2	2m2	NUM
ap-1404	49	10	∫	∫	PROPN
ap-1404	49	11	d4x	d4x	PROPN
ap-1404	49	12	√	√	PROPN
ap-1404	49	13	−grn	−grn	PUNCT
ap-1404	49	14	.	.	PUNCT
ap-1404	50	1	(	(	PUNCT
ap-1404	50	2	10	10	NUM
ap-1404	50	3	)	)	PUNCT
ap-1404	50	4	note	note	VERB
ap-1404	50	5	that	that	DET
ap-1404	50	6	action	action	NOUN
ap-1404	50	7	(	(	PUNCT
ap-1404	50	8	10	10	NUM
ap-1404	50	9	)	)	PUNCT
ap-1404	50	10	does	do	AUX
ap-1404	50	11	not	not	PART
ap-1404	50	12	have	have	VERB
ap-1404	50	13	to	to	PART
ap-1404	50	14	be	be	AUX
ap-1404	50	15	a	a	DET
ap-1404	50	16	full	full	ADJ
ap-1404	50	17	action	action	NOUN
ap-1404	50	18	for	for	ADP
ap-1404	50	19	the	the	DET
ap-1404	50	20	gravitational	gravitational	ADJ
ap-1404	50	21	field	field	NOUN
ap-1404	50	22	,	,	PUNCT
ap-1404	50	23	while	while	SCONJ
ap-1404	50	24	the	the	DET
ap-1404	50	25	einstein	einstein	PROPN
ap-1404	50	26	linear	linear	PROPN
ap-1404	50	27	gravitation	gravitation	NOUN
ap-1404	50	28	on	on	ADP
ap-1404	50	29	the	the	DET
ap-1404	50	30	curvature	curvature	NOUN
ap-1404	50	31	and	and	CCONJ
ap-1404	50	32	λ	λ	NOUN
ap-1404	50	33	—	—	PUNCT
ap-1404	50	34	term	term	NOUN
ap-1404	50	35	,	,	PUNCT
ap-1404	50	36	and	and	CCONJ
ap-1404	50	37	other	other	ADJ
ap-1404	50	38	possible	possible	ADJ
ap-1404	50	39	variants	variant	NOUN
ap-1404	50	40	,	,	PUNCT
ap-1404	50	41	can	can	AUX
ap-1404	50	42	be	be	AUX
ap-1404	50	43	also	also	ADV
ap-1404	50	44	included	include	VERB
ap-1404	50	45	.	.	PUNCT
ap-1404	51	1	however	however	ADV
ap-1404	51	2	,	,	PUNCT
ap-1404	51	3	a	a	DET
ap-1404	51	4	discussion	discussion	NOUN
ap-1404	51	5	of	of	ADP
ap-1404	51	6	the	the	DET
ap-1404	51	7	effects	effect	NOUN
ap-1404	51	8	caused	cause	VERB
ap-1404	51	9	by	by	ADP
ap-1404	51	10	the	the	DET
ap-1404	51	11	form	form	NOUN
ap-1404	51	12	(	(	PUNCT
ap-1404	51	13	10	10	NUM
ap-1404	51	14	)	)	PUNCT
ap-1404	51	15	is	be	AUX
ap-1404	51	16	the	the	DET
ap-1404	51	17	main	main	ADJ
ap-1404	51	18	goal	goal	NOUN
ap-1404	51	19	of	of	ADP
ap-1404	51	20	this	this	DET
ap-1404	51	21	paper	paper	NOUN
ap-1404	51	22	.	.	PUNCT
ap-1404	52	1	in	in	ADP
ap-1404	52	2	the	the	DET
ap-1404	52	3	case	case	NOUN
ap-1404	52	4	of	of	ADP
ap-1404	52	5	a	a	DET
ap-1404	52	6	flat	flat	ADJ
ap-1404	52	7	background	background	NOUN
ap-1404	52	8	metric	metric	NOUN
ap-1404	52	9	,	,	PUNCT
ap-1404	52	10	we	we	PRON
ap-1404	52	11	have	have	VERB
ap-1404	52	12	the	the	DET
ap-1404	52	13	following	follow	VERB
ap-1404	52	14	expansion	expansion	NOUN
ap-1404	52	15	(	(	PUNCT
ap-1404	52	16	with	with	ADP
ap-1404	52	17	accuracy	accuracy	NOUN
ap-1404	52	18	up	up	ADP
ap-1404	52	19	to	to	ADP
ap-1404	52	20	the	the	DET
ap-1404	52	21	second	second	ADJ
ap-1404	52	22	order	order	NOUN
ap-1404	52	23	approximation	approximation	NOUN
ap-1404	52	24	)	)	PUNCT
ap-1404	52	25	√	√	VERB
ap-1404	53	1	−g	−g	NOUN
ap-1404	53	2	�	�	PROPN
ap-1404	53	3	1	1	NUM
ap-1404	53	4	+	+	CCONJ
ap-1404	53	5	1	1	NUM
ap-1404	53	6	2	2	NUM
ap-1404	53	7	h	h	NOUN
ap-1404	53	8	−	−	NOUN
ap-1404	53	9	1	1	NUM
ap-1404	53	10	4	4	NUM
ap-1404	53	11	hμνhμν	hμνhμν	VERB
ap-1404	53	12	+	+	CCONJ
ap-1404	53	13	1	1	NUM
ap-1404	53	14	8	8	NUM
ap-1404	53	15	h2	h2	NOUN
ap-1404	53	16	,	,	PUNCT
ap-1404	53	17	(	(	PUNCT
ap-1404	53	18	11	11	NUM
ap-1404	53	19	)	)	PUNCT
ap-1404	53	20	where	where	SCONJ
ap-1404	53	21	raising	raise	VERB
ap-1404	53	22	and	and	CCONJ
ap-1404	53	23	lowering	lower	VERB
ap-1404	53	24	the	the	DET
ap-1404	53	25	index	index	NOUN
ap-1404	53	26	is	be	AUX
ap-1404	53	27	by	by	ADP
ap-1404	53	28	ημν	ημν	PROPN
ap-1404	53	29	background	background	NOUN
ap-1404	53	30	metric	metric	ADJ
ap-1404	53	31	and	and	CCONJ
ap-1404	53	32	h	h	NOUN
ap-1404	53	33	=	=	NOUN
ap-1404	53	34	ημνhμν	ημνhμν	NOUN
ap-1404	53	35	.	.	PUNCT
ap-1404	54	1	the	the	DET
ap-1404	54	2	riemann	riemann	PROPN
ap-1404	54	3	tensor	tensor	NOUN
ap-1404	54	4	is	be	AUX
ap-1404	54	5	now	now	ADV
ap-1404	54	6	rμ	rμ	ADP
ap-1404	54	7	νρσ	νρσ	NOUN
ap-1404	54	8	=	=	SYM
ap-1404	54	9	∂ργμ	∂ργμ	PUNCT
ap-1404	54	10	νσ	νσ	ADP
ap-1404	54	11	−	−	PROPN
ap-1404	54	12	∂σγμ	∂σγμ	NOUN
ap-1404	54	13	νρ	νρ	NOUN
ap-1404	55	1	+	+	CCONJ
ap-1404	55	2	γμ	γμ	INTJ
ap-1404	55	3	τργτ	τργτ	ADJ
ap-1404	55	4	νσ	νσ	VERB
ap-1404	55	5	−	−	PROPN
ap-1404	55	6	γμ	γμ	PROPN
ap-1404	55	7	τσγτ	τσγτ	PROPN
ap-1404	55	8	νρ	νρ	PROPN
ap-1404	55	9	,	,	PUNCT
ap-1404	55	10	(	(	PUNCT
ap-1404	55	11	12	12	NUM
ap-1404	55	12	)	)	PUNCT
ap-1404	55	13	while	while	SCONJ
ap-1404	55	14	the	the	DET
ap-1404	55	15	ricci	ricci	PROPN
ap-1404	55	16	tensor	tensor	NOUN
ap-1404	55	17	is	be	AUX
ap-1404	55	18	determined	determine	VERB
ap-1404	55	19	by	by	ADP
ap-1404	55	20	the	the	DET
ap-1404	55	21	riemann	riemann	PROPN
ap-1404	55	22	tensor	tensor	NOUN
ap-1404	55	23	convolution	convolution	NOUN
ap-1404	55	24	according	accord	VERB
ap-1404	55	25	to	to	ADP
ap-1404	55	26	the	the	DET
ap-1404	55	27	first	first	ADJ
ap-1404	55	28	and	and	CCONJ
ap-1404	55	29	the	the	DET
ap-1404	55	30	third	third	ADJ
ap-1404	55	31	indices	index	NOUN
ap-1404	55	32	.	.	PUNCT
ap-1404	56	1	then	then	ADV
ap-1404	56	2	,	,	PUNCT
ap-1404	56	3	for	for	ADP
ap-1404	56	4	the	the	DET
ap-1404	56	5	scalar	scalar	ADJ
ap-1404	56	6	curvature	curvature	NOUN
ap-1404	56	7	we	we	PRON
ap-1404	56	8	get	get	VERB
ap-1404	56	9	r	r	NOUN
ap-1404	56	10	=	=	SYM
ap-1404	56	11	gμνrμν	gμνrμν	ADJ
ap-1404	56	12	�	�	PROPN
ap-1404	56	13	1	1	NUM
ap-1404	56	14	2	2	NUM
ap-1404	56	15	(	(	PUNCT
ap-1404	56	16	ημν	ημν	NOUN
ap-1404	56	17	−	−	PROPN
ap-1404	56	18	hμν	hμν	NOUN
ap-1404	57	1	+	+	CCONJ
ap-1404	57	2	hμρhν	hμρhν	PROPN
ap-1404	57	3	ρ	ρ	PROPN
ap-1404	57	4	)	)	PUNCT
ap-1404	57	5	×	×	NOUN
ap-1404	57	6	(	(	PUNCT
ap-1404	57	7	13	13	NUM
ap-1404	57	8	)	)	PUNCT
ap-1404	57	9	(	(	PUNCT
ap-1404	57	10	∂α∂μhα	∂α∂μhα	NOUN
ap-1404	57	11	ν	ν	X
ap-1404	57	12	−	−	PROPN
ap-1404	58	1	∂α∂αhμν	∂α∂αhμν	PROPN
ap-1404	58	2	−	−	PROPN
ap-1404	58	3	∂μ∂νh	∂μ∂νh	PROPN
ap-1404	59	1	+	+	CCONJ
ap-1404	59	2	∂α∂νhα	∂α∂νhα	PROPN
ap-1404	59	3	μ	μ	PROPN
ap-1404	59	4	+	+	PROPN
ap-1404	59	5	o(h2	o(h2	NOUN
ap-1404	59	6	)	)	PUNCT
ap-1404	59	7	)	)	PUNCT
ap-1404	60	1	=	=	PUNCT
ap-1404	60	2	∂α∂νhα	∂α∂νhα	NOUN
ap-1404	60	3	ν	ν	NOUN
ap-1404	60	4	−	−	PROPN
ap-1404	60	5	∂α∂αh	∂α∂αh	PROPN
ap-1404	60	6	+	+	CCONJ
ap-1404	60	7	o(h2	o(h2	NOUN
ap-1404	60	8	)	)	PUNCT
ap-1404	60	9	.	.	PUNCT
ap-1404	61	1	this	this	PRON
ap-1404	61	2	implies	imply	VERB
ap-1404	61	3	,	,	PUNCT
ap-1404	61	4	in	in	ADP
ap-1404	61	5	the	the	DET
ap-1404	61	6	case	case	NOUN
ap-1404	61	7	of	of	ADP
ap-1404	61	8	rn	rn	PROPN
ap-1404	61	9	gravitation	gravitation	PROPN
ap-1404	61	10	,	,	PUNCT
ap-1404	61	11	the	the	DET
ap-1404	61	12	development	development	NOUN
ap-1404	61	13	according	accord	VERB
ap-1404	61	14	to	to	ADP
ap-1404	61	15	h	h	NOUN
ap-1404	61	16	has	have	VERB
ap-1404	61	17	the	the	DET
ap-1404	61	18	form	form	NOUN
ap-1404	61	19	rn	rn	PROPN
ap-1404	61	20	�	�	PROPN
ap-1404	61	21	(	(	PUNCT
ap-1404	61	22	∂α∂νhα	∂α∂νhα	NOUN
ap-1404	61	23	ν	ν	NOUN
ap-1404	61	24	−	−	PROPN
ap-1404	61	25	∂α∂αh	∂α∂αh	PROPN
ap-1404	61	26	+	+	CCONJ
ap-1404	61	27	o(h2	o(h2	NOUN
ap-1404	61	28	)	)	PUNCT
ap-1404	61	29	)	)	PUNCT
ap-1404	62	1	n	n	NOUN
ap-1404	62	2	∼	∼	NOUN
ap-1404	62	3	o(hn	o(hn	NUM
ap-1404	62	4	)	)	PUNCT
ap-1404	62	5	(	(	PUNCT
ap-1404	62	6	14	14	NUM
ap-1404	62	7	)	)	PUNCT
ap-1404	62	8	that	that	PRON
ap-1404	62	9	is	be	AUX
ap-1404	62	10	,	,	PUNCT
ap-1404	62	11	the	the	DET
ap-1404	62	12	smallest	small	ADJ
ap-1404	62	13	order	order	NOUN
ap-1404	62	14	has	have	VERB
ap-1404	62	15	a	a	DET
ap-1404	62	16	power	power	NOUN
ap-1404	62	17	n	n	NOUN
ap-1404	62	18	in	in	ADP
ap-1404	62	19	quantum	quantum	ADJ
ap-1404	62	20	corrections	correction	NOUN
ap-1404	62	21	.	.	PUNCT
ap-1404	63	1	physically	physically	ADV
ap-1404	63	2	this	this	PRON
ap-1404	63	3	means	mean	VERB
ap-1404	63	4	that	that	SCONJ
ap-1404	63	5	the	the	DET
ap-1404	63	6	graviton	graviton	NOUN
ap-1404	63	7	propagator	propagator	NOUN
ap-1404	63	8	is	be	AUX
ap-1404	63	9	missed	miss	VERB
ap-1404	63	10	in	in	ADP
ap-1404	63	11	such	such	DET
ap-1404	63	12	a	a	DET
ap-1404	63	13	gravitation	gravitation	NOUN
ap-1404	63	14	model	model	NOUN
ap-1404	63	15	,	,	PUNCT
ap-1404	63	16	and	and	CCONJ
ap-1404	63	17	only	only	ADV
ap-1404	63	18	n	n	PRON
ap-1404	63	19	-particle	-particle	NOUN
ap-1404	63	20	vertex	vertex	NOUN
ap-1404	63	21	functions	function	NOUN
ap-1404	63	22	exist	exist	VERB
ap-1404	63	23	.	.	PUNCT
ap-1404	64	1	therefore	therefore	ADV
ap-1404	64	2	,	,	PUNCT
ap-1404	64	3	it	it	PRON
ap-1404	64	4	is	be	AUX
ap-1404	64	5	not	not	PART
ap-1404	64	6	essential	essential	ADJ
ap-1404	64	7	for	for	ADP
ap-1404	64	8	the	the	DET
ap-1404	64	9	study	study	NOUN
ap-1404	64	10	of	of	ADP
ap-1404	64	11	dynamical	dynamical	ADJ
ap-1404	64	12	symmetry	symmetry	NOUN
ap-1404	64	13	breaking	breaking	NOUN
ap-1404	64	14	(	(	PUNCT
ap-1404	64	15	dsb	dsb	PROPN
ap-1404	64	16	)	)	PUNCT
ap-1404	64	17	in	in	ADP
ap-1404	64	18	this	this	DET
ap-1404	64	19	formalism	formalism	NOUN
ap-1404	64	20	.	.	PUNCT
ap-1404	65	1	in	in	ADP
ap-1404	65	2	55	55	NUM
ap-1404	65	3	acta	acta	PROPN
ap-1404	65	4	polytechnica	polytechnica	PROPN
ap-1404	65	5	vol	vol	NOUN
ap-1404	65	6	.	.	PUNCT
ap-1404	66	1	51	51	NUM
ap-1404	66	2	no	no	INTJ
ap-1404	66	3	.	.	PUNCT
ap-1404	67	1	4/2011	4/2011	NUM
ap-1404	67	2	other	other	ADJ
ap-1404	67	3	words	word	NOUN
ap-1404	67	4	,	,	PUNCT
ap-1404	67	5	we	we	PRON
ap-1404	67	6	can	can	AUX
ap-1404	67	7	say	say	VERB
ap-1404	67	8	that	that	SCONJ
ap-1404	67	9	there	there	PRON
ap-1404	67	10	is	be	VERB
ap-1404	67	11	no	no	DET
ap-1404	67	12	dynamical	dynamical	ADJ
ap-1404	67	13	symmetry	symmetry	NOUN
ap-1404	67	14	breaking	break	VERB
ap-1404	67	15	effect	effect	NOUN
ap-1404	67	16	in	in	ADP
ap-1404	67	17	this	this	DET
ap-1404	67	18	approximation	approximation	NOUN
ap-1404	67	19	.	.	PUNCT
ap-1404	68	1	now	now	ADV
ap-1404	68	2	we	we	PRON
ap-1404	68	3	proceed	proceed	VERB
ap-1404	68	4	to	to	ADP
ap-1404	68	5	the	the	DET
ap-1404	68	6	quite	quite	ADV
ap-1404	68	7	different	different	ADJ
ap-1404	68	8	situation	situation	NOUN
ap-1404	68	9	of	of	ADP
ap-1404	68	10	non	non	ADJ
ap-1404	68	11	-	-	ADJ
ap-1404	68	12	flat	flat	ADJ
ap-1404	68	13	background	background	NOUN
ap-1404	68	14	space	space	NOUN
ap-1404	68	15	-	-	PUNCT
ap-1404	68	16	time	time	NOUN
ap-1404	68	17	.	.	PUNCT
ap-1404	69	1	3	3	NUM
ap-1404	69	2	curved	curved	ADJ
ap-1404	69	3	background	background	NOUN
ap-1404	69	4	metric	metric	ADV
ap-1404	69	5	let	let	VERB
ap-1404	69	6	us	we	PRON
ap-1404	69	7	choose	choose	VERB
ap-1404	69	8	the	the	DET
ap-1404	69	9	action	action	NOUN
ap-1404	69	10	for	for	ADP
ap-1404	69	11	the	the	DET
ap-1404	69	12	gravitational	gravitational	ADJ
ap-1404	69	13	field	field	NOUN
ap-1404	69	14	in	in	ADP
ap-1404	69	15	the	the	DET
ap-1404	69	16	form	form	NOUN
ap-1404	69	17	of	of	ADP
ap-1404	69	18	sg	sg	NOUN
ap-1404	69	19	=	=	SYM
ap-1404	69	20	1	1	NUM
ap-1404	69	21	2m2	2m2	NUM
ap-1404	69	22	∫	∫	PROPN
ap-1404	69	23	d4x	d4x	PROPN
ap-1404	69	24	√	√	PROPN
ap-1404	69	25	−g̃r̃n	−g̃r̃n	PROPN
ap-1404	69	26	,	,	PUNCT
ap-1404	69	27	(	(	PUNCT
ap-1404	69	28	15	15	NUM
ap-1404	69	29	)	)	PUNCT
ap-1404	69	30	where	where	SCONJ
ap-1404	69	31	tilde	tilde	PROPN
ap-1404	69	32	denotes	denote	VERB
ap-1404	69	33	a	a	DET
ap-1404	69	34	perturbed	perturb	VERB
ap-1404	69	35	metric	metric	NOUN
ap-1404	69	36	,	,	PUNCT
ap-1404	69	37	and	and	CCONJ
ap-1404	69	38	is	be	AUX
ap-1404	69	39	determined	determine	VERB
ap-1404	69	40	by	by	ADP
ap-1404	69	41	(	(	PUNCT
ap-1404	69	42	1	1	NUM
ap-1404	69	43	)	)	PUNCT
ap-1404	69	44	.	.	PUNCT
ap-1404	70	1	since	since	SCONJ
ap-1404	70	2	the	the	DET
ap-1404	70	3	background	background	NOUN
ap-1404	70	4	metric	metric	ADJ
ap-1404	70	5	is	be	AUX
ap-1404	70	6	not	not	PART
ap-1404	70	7	the	the	DET
ap-1404	70	8	minkowski	minkowski	ADJ
ap-1404	70	9	one	one	NOUN
ap-1404	70	10	,	,	PUNCT
ap-1404	70	11	the	the	DET
ap-1404	70	12	summands	summand	NOUN
ap-1404	70	13	of	of	ADP
ap-1404	70	14	all	all	DET
ap-1404	70	15	h	h	NOUN
ap-1404	70	16	orders	order	NOUN
ap-1404	70	17	appear	appear	VERB
ap-1404	70	18	in	in	ADP
ap-1404	70	19	all	all	DET
ap-1404	70	20	redefined	redefine	VERB
ap-1404	70	21	constructions	construction	NOUN
ap-1404	70	22	.	.	PUNCT
ap-1404	71	1	so	so	ADV
ap-1404	71	2	the	the	DET
ap-1404	71	3	expressions	expression	NOUN
ap-1404	71	4	for	for	ADP
ap-1404	71	5	christoffel	christoffel	ADJ
ap-1404	71	6	symbols	symbol	NOUN
ap-1404	71	7	can	can	AUX
ap-1404	71	8	be	be	AUX
ap-1404	71	9	reduced	reduce	VERB
ap-1404	71	10	to	to	ADP
ap-1404	71	11	the	the	DET
ap-1404	71	12	form	form	NOUN
ap-1404	71	13	(	(	PUNCT
ap-1404	71	14	with	with	ADP
ap-1404	71	15	accuracy	accuracy	NOUN
ap-1404	71	16	within	within	ADP
ap-1404	71	17	the	the	DET
ap-1404	71	18	second	second	ADJ
ap-1404	71	19	order	order	NOUN
ap-1404	71	20	on	on	ADP
ap-1404	71	21	quantum	quantum	ADJ
ap-1404	71	22	corrections	correction	NOUN
ap-1404	71	23	)	)	PUNCT
ap-1404	71	24	γ̃μ	γ̃μ	PROPN
ap-1404	71	25	νρ	νρ	PROPN
ap-1404	71	26	�	�	PROPN
ap-1404	71	27	γμ	γμ	VERB
ap-1404	71	28	νρ	νρ	PROPN
ap-1404	72	1	+	+	CCONJ
ap-1404	72	2	1	1	NUM
ap-1404	72	3	2	2	NUM
ap-1404	72	4	(	(	PUNCT
ap-1404	72	5	gμγ	gμγ	NOUN
ap-1404	72	6	−	−	PROPN
ap-1404	72	7	hμγ	hμγ	PROPN
ap-1404	72	8	)	)	PUNCT
ap-1404	72	9	·	·	PUNCT
ap-1404	72	10	(	(	PUNCT
ap-1404	72	11	16	16	NUM
ap-1404	72	12	)	)	PUNCT
ap-1404	72	13	(	(	PUNCT
ap-1404	72	14	∇ρhγν	∇ρhγν	NOUN
ap-1404	72	15	+	+	CCONJ
ap-1404	72	16	∇νhγρ	∇νhγρ	X
ap-1404	72	17	−∇γhνρ	−∇γhνρ	NOUN
ap-1404	72	18	)	)	PUNCT
ap-1404	72	19	,	,	PUNCT
ap-1404	72	20	where	where	SCONJ
ap-1404	72	21	γμ	γμ	VERB
ap-1404	72	22	νρ	νρ	PROPN
ap-1404	72	23	are	be	AUX
ap-1404	72	24	the	the	DET
ap-1404	72	25	christoffel	christoffel	ADJ
ap-1404	72	26	symbols	symbol	NOUN
ap-1404	72	27	calculated	calculate	VERB
ap-1404	72	28	according	accord	VERB
ap-1404	72	29	to	to	ADP
ap-1404	72	30	the	the	DET
ap-1404	72	31	unperturbed	unperturbed	ADJ
ap-1404	72	32	metric	metric	ADJ
ap-1404	72	33	gμν	gμν	NOUN
ap-1404	72	34	,	,	PUNCT
ap-1404	72	35	and	and	CCONJ
ap-1404	72	36	∇ρ	∇ρ	PROPN
ap-1404	72	37	is	be	AUX
ap-1404	72	38	the	the	DET
ap-1404	72	39	covariant	covariant	ADJ
ap-1404	72	40	derivative	derivative	ADJ
ap-1404	72	41	relative	relative	NOUN
ap-1404	72	42	to	to	ADP
ap-1404	72	43	the	the	DET
ap-1404	72	44	same	same	ADJ
ap-1404	72	45	metric	metric	NOUN
ap-1404	72	46	.	.	PUNCT
ap-1404	73	1	the	the	DET
ap-1404	73	2	complete	complete	ADJ
ap-1404	73	3	expression	expression	NOUN
ap-1404	73	4	for	for	ADP
ap-1404	73	5	the	the	DET
ap-1404	73	6	riemann	riemann	PROPN
ap-1404	73	7	tensor	tensor	NOUN
ap-1404	73	8	(	(	PUNCT
ap-1404	73	9	in	in	ADP
ap-1404	73	10	this	this	DET
ap-1404	73	11	approximation	approximation	NOUN
ap-1404	73	12	)	)	PUNCT
ap-1404	73	13	is	be	AUX
ap-1404	73	14	r̃μ	r̃μ	NOUN
ap-1404	73	15	νρσ	νρσ	VERB
ap-1404	73	16	�	�	PROPN
ap-1404	73	17	rμ	rμ	PART
ap-1404	73	18	νρσ	νρσ	VERB
ap-1404	73	19	+	+	CCONJ
ap-1404	73	20	1	1	NUM
ap-1404	73	21	2	2	NUM
ap-1404	73	22	(	(	PUNCT
ap-1404	73	23	gμτ	gμτ	NOUN
ap-1404	73	24	−	−	PROPN
ap-1404	73	25	hμτ	hμτ	NOUN
ap-1404	73	26	)	)	PUNCT
ap-1404	73	27	×	×	NOUN
ap-1404	73	28	(	(	PUNCT
ap-1404	73	29	hτεr	hτεr	ADV
ap-1404	73	30	ε	ε	PROPN
ap-1404	73	31	νσρ	νσρ	VERB
ap-1404	73	32	+	+	CCONJ
ap-1404	73	33	hενrε	hενrε	NOUN
ap-1404	73	34	τσρ	τσρ	PROPN
ap-1404	73	35	+	+	CCONJ
ap-1404	73	36	∇ρ∇νhτσ	∇ρ∇νhτσ	NOUN
ap-1404	74	1	−	−	PROPN
ap-1404	74	2	∇ρ∇τhνσ	∇ρ∇τhνσ	PROPN
ap-1404	74	3	−∇σ∇νhτρ	−∇σ∇νhτρ	NUM
ap-1404	74	4	+	+	NUM
ap-1404	74	5	∇σ∇τhνρ	∇σ∇τhνρ	NOUN
ap-1404	74	6	)	)	PUNCT
ap-1404	75	1	+	+	CCONJ
ap-1404	75	2	1	1	NUM
ap-1404	75	3	4	4	NUM
ap-1404	75	4	gμγgτε[(∇σhεν	gμγgτε[(∇σhεν	NOUN
ap-1404	75	5	+	+	CCONJ
ap-1404	75	6	∇νhσε	∇νhσε	NOUN
ap-1404	75	7	−∇εhνσ	−∇εhνσ	NUM
ap-1404	75	8	)	)	PUNCT
ap-1404	75	9	·	·	PUNCT
ap-1404	75	10	(	(	PUNCT
ap-1404	75	11	∇τhγρ	∇τhγρ	INTJ
ap-1404	75	12	−∇ρhγτ	−∇ρhγτ	NOUN
ap-1404	75	13	−∇γhτρ	−∇γhτρ	PROPN
ap-1404	75	14	)	)	PUNCT
ap-1404	76	1	+	+	CCONJ
ap-1404	76	2	(	(	PUNCT
ap-1404	76	3	∇σhτγ	∇σhτγ	NOUN
ap-1404	76	4	−∇τhσγ	−∇τhσγ	VERB
ap-1404	76	5	+	+	NUM
ap-1404	76	6	∇γhτσ	∇γhτσ	NOUN
ap-1404	76	7	)	)	PUNCT
ap-1404	76	8	·	·	PUNCT
ap-1404	77	1	(	(	PUNCT
ap-1404	77	2	∇ρhνε	∇ρhνε	NOUN
ap-1404	77	3	+	+	CCONJ
ap-1404	77	4	∇νhρε	∇νhρε	NUM
ap-1404	77	5	−∇εhνρ	−∇εhνρ	PROPN
ap-1404	77	6	)	)	PUNCT
ap-1404	77	7	]	]	PUNCT
ap-1404	77	8	.	.	PUNCT
ap-1404	78	1	here	here	ADV
ap-1404	78	2	,	,	PUNCT
ap-1404	78	3	the	the	DET
ap-1404	78	4	procedure	procedure	NOUN
ap-1404	78	5	for	for	ADP
ap-1404	78	6	raising	raise	VERB
ap-1404	78	7	and	and	CCONJ
ap-1404	78	8	lowering	lower	VERB
ap-1404	78	9	the	the	DET
ap-1404	78	10	indices	index	NOUN
ap-1404	78	11	is	be	AUX
ap-1404	78	12	provided	provide	VERB
ap-1404	78	13	by	by	ADP
ap-1404	78	14	the	the	DET
ap-1404	78	15	background	background	NOUN
ap-1404	78	16	metric	metric	ADJ
ap-1404	78	17	.	.	PUNCT
ap-1404	79	1	hence	hence	ADV
ap-1404	79	2	,	,	PUNCT
ap-1404	79	3	we	we	PRON
ap-1404	79	4	find	find	VERB
ap-1404	79	5	the	the	DET
ap-1404	79	6	scalar	scalar	ADJ
ap-1404	79	7	curvature	curvature	NOUN
ap-1404	79	8	r̃	r̃	NOUN
ap-1404	79	9	=	=	SYM
ap-1404	79	10	g̃νσr̃ρ	g̃νσr̃ρ	NOUN
ap-1404	79	11	νρσ	νρσ	VERB
ap-1404	79	12	�	�	PROPN
ap-1404	79	13	(	(	PUNCT
ap-1404	79	14	gνσ	gνσ	NOUN
ap-1404	79	15	−	−	PROPN
ap-1404	79	16	hνσ	hνσ	NOUN
ap-1404	79	17	+	+	CCONJ
ap-1404	79	18	hναhσ	hναhσ	NOUN
ap-1404	79	19	α	α	NOUN
ap-1404	79	20	)	)	PUNCT
ap-1404	79	21	r̃ρ	r̃ρ	VERB
ap-1404	79	22	νρσ	νρσ	PROPN
ap-1404	79	23	.	.	PROPN
ap-1404	80	1	(	(	PUNCT
ap-1404	80	2	17	17	NUM
ap-1404	80	3	)	)	PUNCT
ap-1404	80	4	introduce	introduce	VERB
ap-1404	80	5	the	the	DET
ap-1404	80	6	following	follow	VERB
ap-1404	80	7	symbols	symbol	NOUN
ap-1404	80	8	h1	h1	PROPN
ap-1404	80	9	≡	≡	PROPN
ap-1404	80	10	−rνσhνσ	−rνσhνσ	PUNCT
ap-1404	81	1	+	+	PROPN
ap-1404	81	2	∇ν∇σhνσ	∇ν∇σhνσ	PROPN
ap-1404	81	3	−∇ν∇νh	−∇ν∇νh	PROPN
ap-1404	81	4	,	,	PUNCT
ap-1404	81	5	(	(	PUNCT
ap-1404	81	6	18	18	NUM
ap-1404	81	7	)	)	PUNCT
ap-1404	81	8	h2	h2	PROPN
ap-1404	81	9	≡	≡	PROPN
ap-1404	81	10	rνσhναhσ	rνσhναhσ	NOUN
ap-1404	82	1	α	α	NOUN
ap-1404	82	2	−	−	NOUN
ap-1404	82	3	hρτ	hρτ	NOUN
ap-1404	82	4	(	(	PUNCT
ap-1404	82	5	∇ρ∇σ	∇ρ∇σ	X
ap-1404	82	6	+	+	CCONJ
ap-1404	82	7	∇σ∇ρ	∇σ∇ρ	X
ap-1404	82	8	)	)	PUNCT
ap-1404	82	9	hτσ	hτσ	NOUN
ap-1404	82	10	−	−	PROPN
ap-1404	82	11	hρτ∇ρ∇τh	hρτ∇ρ∇τh	NOUN
ap-1404	83	1	+	+	CCONJ
ap-1404	84	1	hρτ∇σ∇σhρτ	hρτ∇σ∇σhρτ	NOUN
ap-1404	84	2	+	+	SYM
ap-1404	84	3	1	1	NUM
ap-1404	84	4	2	2	NUM
ap-1404	84	5	∇σhτσ∇τh	∇σhτσ∇τh	NOUN
ap-1404	84	6	−∇σhτσ∇γhγτ	−∇σhτσ∇γhγτ	ADJ
ap-1404	84	7	−	−	PROPN
ap-1404	84	8	(	(	PUNCT
ap-1404	84	9	19	19	NUM
ap-1404	84	10	)	)	SYM
ap-1404	84	11	1	1	NUM
ap-1404	84	12	4	4	NUM
ap-1404	84	13	∇τh∇τh	∇τh∇τh	ADJ
ap-1404	84	14	+	+	CCONJ
ap-1404	84	15	1	1	NUM
ap-1404	84	16	2	2	NUM
ap-1404	84	17	∇τh∇γhγτ	∇τh∇γhγτ	ADJ
ap-1404	84	18	+	+	CCONJ
ap-1404	84	19	3	3	NUM
ap-1404	84	20	4	4	NUM
ap-1404	84	21	∇σhερ∇σhρε	∇σhερ∇σhρε	VERB
ap-1404	84	22	−	−	NOUN
ap-1404	84	23	1	1	NUM
ap-1404	84	24	2	2	NUM
ap-1404	84	25	∇εhρ	∇εhρ	PRON
ap-1404	84	26	σ∇σhρε	σ∇σhρε	NOUN
ap-1404	84	27	.	.	PUNCT
ap-1404	85	1	the	the	DET
ap-1404	85	2	expression	expression	NOUN
ap-1404	85	3	for	for	ADP
ap-1404	85	4	scalar	scalar	ADJ
ap-1404	85	5	curvature	curvature	NOUN
ap-1404	85	6	is	be	AUX
ap-1404	85	7	r̃	r̃	ADJ
ap-1404	85	8	�	�	PROPN
ap-1404	85	9	r	r	NOUN
ap-1404	85	10	+	+	CCONJ
ap-1404	85	11	h1	h1	PROPN
ap-1404	85	12	+	+	CCONJ
ap-1404	85	13	h2	h2	NOUN
ap-1404	85	14	,	,	PUNCT
ap-1404	85	15	(	(	PUNCT
ap-1404	85	16	20	20	NUM
ap-1404	85	17	)	)	PUNCT
ap-1404	85	18	where	where	SCONJ
ap-1404	85	19	h1	h1	PROPN
ap-1404	85	20	contains	contain	VERB
ap-1404	85	21	the	the	DET
ap-1404	85	22	first	first	ADJ
ap-1404	85	23	power	power	NOUN
ap-1404	85	24	of	of	ADP
ap-1404	85	25	the	the	DET
ap-1404	85	26	quantum	quantum	ADJ
ap-1404	85	27	corrections	correction	NOUN
ap-1404	85	28	only	only	ADV
ap-1404	85	29	,	,	PUNCT
ap-1404	85	30	and	and	CCONJ
ap-1404	85	31	h2	h2	NOUN
ap-1404	85	32	contains	contain	VERB
ap-1404	85	33	the	the	DET
ap-1404	85	34	second	second	ADJ
ap-1404	85	35	powers	power	NOUN
ap-1404	85	36	.	.	PUNCT
ap-1404	86	1	then	then	ADV
ap-1404	86	2	,	,	PUNCT
ap-1404	86	3	the	the	DET
ap-1404	86	4	n	n	NOUN
ap-1404	86	5	-th	-th	NOUN
ap-1404	86	6	power	power	NOUN
ap-1404	86	7	of	of	ADP
ap-1404	86	8	the	the	DET
ap-1404	86	9	scalar	scalar	ADJ
ap-1404	86	10	curvature	curvature	NOUN
ap-1404	86	11	becomes	become	VERB
ap-1404	86	12	r̃n	r̃n	PROPN
ap-1404	86	13	�	�	PROPN
ap-1404	86	14	rn	rn	PROPN
ap-1404	86	15	+	+	PROPN
ap-1404	86	16	nrn−1	nrn−1	PROPN
ap-1404	86	17	(	(	PUNCT
ap-1404	86	18	h1	h1	PROPN
ap-1404	86	19	+	+	NUM
ap-1404	86	20	h2	h2	NOUN
ap-1404	86	21	)	)	PUNCT
ap-1404	87	1	+	+	CCONJ
ap-1404	87	2	(	(	PUNCT
ap-1404	87	3	21	21	NUM
ap-1404	87	4	)	)	SYM
ap-1404	87	5	1	1	NUM
ap-1404	87	6	2	2	NUM
ap-1404	87	7	n(n	n(n	NOUN
ap-1404	87	8	−	−	PROPN
ap-1404	87	9	1)rn−2h21	1)rn−2h21	NUM
ap-1404	87	10	.	.	PUNCT
ap-1404	88	1	in	in	ADP
ap-1404	88	2	the	the	DET
ap-1404	88	3	case	case	NOUN
ap-1404	88	4	of	of	ADP
ap-1404	88	5	arbitrary	arbitrary	ADJ
ap-1404	88	6	background	background	NOUN
ap-1404	88	7	space	space	NOUN
ap-1404	88	8	-	-	PUNCT
ap-1404	88	9	time	time	NOUN
ap-1404	88	10	we	we	PRON
ap-1404	88	11	should	should	AUX
ap-1404	88	12	take	take	VERB
ap-1404	88	13	into	into	ADP
ap-1404	88	14	account	account	NOUN
ap-1404	88	15	the	the	DET
ap-1404	88	16	expansion	expansion	NOUN
ap-1404	88	17	det(g̃	det(g̃	NOUN
ap-1404	88	18	)	)	PUNCT
ap-1404	88	19	�	�	PROPN
ap-1404	88	20	det(g	det(g	PROPN
ap-1404	88	21	)	)	PUNCT
ap-1404	88	22	+	+	NUM
ap-1404	88	23	hμνkμν(g	hμνkμν(g	NOUN
ap-1404	88	24	)	)	PUNCT
ap-1404	88	25	+	+	CCONJ
ap-1404	88	26	(	(	PUNCT
ap-1404	88	27	22	22	X
ap-1404	88	28	)	)	PUNCT
ap-1404	88	29	hμνhαβfμναβ(g	hμνhαβfμναβ(g	NOUN
ap-1404	88	30	)	)	PUNCT
ap-1404	88	31	,	,	PUNCT
ap-1404	89	1	where	where	SCONJ
ap-1404	89	2	kμν(g	kμν(g	NOUN
ap-1404	89	3	)	)	PUNCT
ap-1404	89	4	=	=	VERB
ap-1404	89	5	εαβρσ	εαβρσ	NOUN
ap-1404	89	6	(	(	PUNCT
ap-1404	89	7	δμ	δμ	NOUN
ap-1404	89	8	0	0	NUM
ap-1404	89	9	δ	δ	NOUN
ap-1404	89	10	ν	ν	X
ap-1404	89	11	αg1βg2ρg3σ	αg1βg2ρg3σ	NUM
ap-1404	89	12	+	+	CCONJ
ap-1404	89	13	δμ	δμ	PROPN
ap-1404	89	14	1	1	NUM
ap-1404	89	15	δ	δ	NOUN
ap-1404	89	16	ν	ν	NOUN
ap-1404	89	17	βg0αg2ρg3σ	βg0αg2ρg3σ	X
ap-1404	89	18	+	+	CCONJ
ap-1404	89	19	δμ	δμ	VERB
ap-1404	89	20	2	2	NUM
ap-1404	89	21	δ	δ	NOUN
ap-1404	89	22	ν	ν	X
ap-1404	89	23	ρg0αg1βg3σ	ρg0αg1βg3σ	PROPN
ap-1404	89	24	+	+	CCONJ
ap-1404	89	25	δμ	δμ	VERB
ap-1404	89	26	3	3	NUM
ap-1404	89	27	δ	δ	NOUN
ap-1404	89	28	ν	ν	X
ap-1404	89	29	σg0αg1βg2ρ	σg0αg1βg2ρ	NOUN
ap-1404	89	30	)	)	PUNCT
ap-1404	89	31	.	.	PUNCT
ap-1404	90	1	we	we	PRON
ap-1404	90	2	underline	underline	VERB
ap-1404	90	3	the	the	DET
ap-1404	90	4	fact	fact	NOUN
ap-1404	90	5	that	that	SCONJ
ap-1404	90	6	if	if	SCONJ
ap-1404	90	7	the	the	DET
ap-1404	90	8	background	background	NOUN
ap-1404	90	9	metric	metric	ADJ
ap-1404	90	10	is	be	AUX
ap-1404	90	11	the	the	DET
ap-1404	90	12	minkowski	minkowski	ADJ
ap-1404	90	13	one	one	NUM
ap-1404	90	14	ημν	ημν	NOUN
ap-1404	90	15	,	,	PUNCT
ap-1404	90	16	then	then	ADV
ap-1404	90	17	function	function	VERB
ap-1404	90	18	kμν	kμν	PROPN
ap-1404	90	19	=	=	PROPN
ap-1404	90	20	−ημν	−ημν	NOUN
ap-1404	90	21	and	and	CCONJ
ap-1404	90	22	with	with	ADP
ap-1404	90	23	accuracy	accuracy	NOUN
ap-1404	90	24	within	within	ADP
ap-1404	90	25	the	the	DET
ap-1404	90	26	first	first	ADJ
ap-1404	90	27	order	order	NOUN
ap-1404	90	28	we	we	PRON
ap-1404	90	29	get	get	VERB
ap-1404	90	30	the	the	DET
ap-1404	90	31	well	well	ADV
ap-1404	90	32	-	-	PUNCT
ap-1404	90	33	known	know	VERB
ap-1404	90	34	formula	formula	NOUN
ap-1404	90	35	−g̃	−g̃	PRON
ap-1404	90	36	�	�	PROPN
ap-1404	90	37	1	1	NUM
ap-1404	90	38	+	+	CCONJ
ap-1404	90	39	h.	h.	NOUN
ap-1404	90	40	the	the	DET
ap-1404	90	41	expression	expression	NOUN
ap-1404	90	42	for	for	ADP
ap-1404	90	43	fμναβ(g	fμναβ(g	NOUN
ap-1404	90	44	)	)	PUNCT
ap-1404	90	45	is	be	AUX
ap-1404	90	46	cumbersome	cumbersome	ADJ
ap-1404	90	47	,	,	PUNCT
ap-1404	90	48	and	and	CCONJ
ap-1404	90	49	we	we	PRON
ap-1404	90	50	do	do	AUX
ap-1404	90	51	not	not	PART
ap-1404	90	52	present	present	VERB
ap-1404	90	53	it	it	PRON
ap-1404	90	54	here	here	ADV
ap-1404	90	55	.	.	PUNCT
ap-1404	91	1	to	to	PART
ap-1404	91	2	consider	consider	VERB
ap-1404	91	3	the	the	DET
ap-1404	91	4	possibility	possibility	NOUN
ap-1404	91	5	of	of	ADP
ap-1404	91	6	dynamical	dynamical	ADJ
ap-1404	91	7	symmetry	symmetry	NOUN
ap-1404	91	8	breaking	breaking	NOUN
ap-1404	91	9	,	,	PUNCT
ap-1404	91	10	it	it	PRON
ap-1404	91	11	is	be	AUX
ap-1404	91	12	necessary	necessary	ADJ
ap-1404	91	13	to	to	PART
ap-1404	91	14	have	have	VERB
ap-1404	91	15	an	an	DET
ap-1404	91	16	expression	expression	NOUN
ap-1404	91	17	for	for	ADP
ap-1404	91	18	the	the	DET
ap-1404	91	19	second	second	ADJ
ap-1404	91	20	variation	variation	NOUN
ap-1404	91	21	of	of	ADP
ap-1404	91	22	the	the	DET
ap-1404	91	23	gravitational	gravitational	ADJ
ap-1404	91	24	action	action	NOUN
ap-1404	91	25	.	.	PUNCT
ap-1404	92	1	let	let	VERB
ap-1404	92	2	us	we	PRON
ap-1404	92	3	take	take	VERB
ap-1404	92	4	into	into	ADP
ap-1404	92	5	consideration	consideration	NOUN
ap-1404	92	6	the	the	DET
ap-1404	92	7	following	follow	VERB
ap-1404	92	8	expansion	expansion	NOUN
ap-1404	92	9	√	√	ADP
ap-1404	93	1	a	a	DET
ap-1404	93	2	+	+	NOUN
ap-1404	94	1	x1	x1	PROPN
ap-1404	95	1	+	+	CCONJ
ap-1404	95	2	x2	x2	PROPN
ap-1404	95	3	�	�	PROPN
ap-1404	95	4	√	√	VERB
ap-1404	95	5	a	a	PRON
ap-1404	95	6	+	+	NOUN
ap-1404	96	1	x1	x1	PROPN
ap-1404	97	1	+	+	CCONJ
ap-1404	97	2	x2	x2	PROPN
ap-1404	97	3	2	2	NUM
ap-1404	97	4	√	√	NOUN
ap-1404	97	5	a	a	DET
ap-1404	97	6	−	−	PROPN
ap-1404	97	7	x21	x21	NUM
ap-1404	97	8	8	8	NUM
ap-1404	97	9	√	√	NOUN
ap-1404	97	10	a3	a3	NOUN
ap-1404	97	11	,	,	PUNCT
ap-1404	97	12	(	(	PUNCT
ap-1404	97	13	23	23	NUM
ap-1404	97	14	)	)	PUNCT
ap-1404	97	15	where	where	SCONJ
ap-1404	97	16	x1	x1	PROPN
ap-1404	97	17	+	+	NUM
ap-1404	97	18	x2	x2	PROPN
ap-1404	97	19	�	�	PROPN
ap-1404	97	20	a	a	X
ap-1404	97	21	,	,	PUNCT
ap-1404	97	22	and	and	CCONJ
ap-1404	97	23	also	also	ADV
ap-1404	97	24	(	(	PUNCT
ap-1404	97	25	x1	x1	ADJ
ap-1404	97	26	)	)	PUNCT
ap-1404	97	27	2	2	NUM
ap-1404	97	28	∼	∼	NOUN
ap-1404	97	29	x2	x2	ADJ
ap-1404	97	30	.	.	PUNCT
ap-1404	97	31	then,√	then,√	PROPN
ap-1404	97	32	−g̃	−g̃	X
ap-1404	97	33	�	�	PROPN
ap-1404	97	34	√	√	PROPN
ap-1404	97	35	−g	−g	NOUN
ap-1404	97	36	−	−	PROPN
ap-1404	97	37	hμνkμν	hμνkμν	ADJ
ap-1404	97	38	−	−	PROPN
ap-1404	97	39	hμνhαβfμναβ	hμνhαβfμναβ	ADJ
ap-1404	97	40	�	�	PROPN
ap-1404	97	41	√	√	PROPN
ap-1404	97	42	−g	−g	NOUN
ap-1404	97	43	−	−	PROPN
ap-1404	98	1	hμνkμν	hμνkμν	ADJ
ap-1404	98	2	+	+	CCONJ
ap-1404	98	3	hμνhαβfμναβ	hμνhαβfμναβ	ADJ
ap-1404	98	4	2	2	NUM
ap-1404	98	5	√−g	√−g	PROPN
ap-1404	98	6	−	−	PROPN
ap-1404	98	7	(	(	PUNCT
ap-1404	98	8	24	24	NUM
ap-1404	98	9	)	)	PUNCT
ap-1404	98	10	(	(	PUNCT
ap-1404	98	11	hμνkμν)2	hμνkμν)2	NOUN
ap-1404	98	12	8	8	NUM
ap-1404	98	13	√	√	PUNCT
ap-1404	98	14	−g3	−g3	PRON
ap-1404	98	15	.	.	PUNCT
ap-1404	99	1	thus	thus	ADV
ap-1404	99	2	,	,	PUNCT
ap-1404	99	3	we	we	PRON
ap-1404	99	4	obtain	obtain	VERB
ap-1404	99	5	the	the	DET
ap-1404	99	6	final	final	ADJ
ap-1404	99	7	form	form	NOUN
ap-1404	99	8	of	of	ADP
ap-1404	99	9	the	the	DET
ap-1404	99	10	second	second	ADJ
ap-1404	99	11	variation	variation	NOUN
ap-1404	99	12	δ(2)sg	δ(2)sg	NOUN
ap-1404	99	13	=	=	SYM
ap-1404	99	14	1	1	NUM
ap-1404	99	15	2m2	2m2	NUM
ap-1404	99	16	∫	∫	NOUN
ap-1404	99	17	d4x	d4x	PROPN
ap-1404	99	18	(	(	PUNCT
ap-1404	99	19	√	√	PUNCT
ap-1404	99	20	−g	−g	NOUN
ap-1404	99	21	·	·	PUNCT
ap-1404	99	22	(	(	PUNCT
ap-1404	99	23	nrn−1h2	nrn−1h2	NOUN
ap-1404	100	1	+	+	CCONJ
ap-1404	100	2	1	1	NUM
ap-1404	100	3	2	2	NUM
ap-1404	100	4	n(n	n(n	NOUN
ap-1404	100	5	−	−	NOUN
ap-1404	100	6	1)rn−2h21	1)rn−2h21	NUM
ap-1404	100	7	)	)	PUNCT
ap-1404	100	8	−	−	ADP
ap-1404	100	9	n	n	SYM
ap-1404	100	10	2	2	NUM
ap-1404	100	11	√−g	√−g	PROPN
ap-1404	100	12	hμνkμνrn−1h1	hμνkμνrn−1h1	PROPN
ap-1404	100	13	−	−	PROPN
ap-1404	100	14	(	(	PUNCT
ap-1404	100	15	25	25	NUM
ap-1404	100	16	)	)	PUNCT
ap-1404	100	17	hμνhαβfμναβ	hμνhαβfμναβ	ADJ
ap-1404	100	18	2	2	NUM
ap-1404	100	19	√−g	√−g	PROPN
ap-1404	100	20	rn	rn	PROPN
ap-1404	100	21	−	−	PROPN
ap-1404	100	22	(	(	PUNCT
ap-1404	100	23	hμνkμν)2	hμνkμν)2	PROPN
ap-1404	100	24	8	8	NUM
ap-1404	100	25	√	√	NOUN
ap-1404	100	26	−g3	−g3	PROPN
ap-1404	100	27	rn	rn	PROPN
ap-1404	100	28	)	)	PUNCT
ap-1404	100	29	.	.	PUNCT
ap-1404	101	1	56	56	NUM
ap-1404	101	2	acta	acta	PROPN
ap-1404	101	3	polytechnica	polytechnica	PROPN
ap-1404	101	4	vol	vol	NOUN
ap-1404	101	5	.	.	PUNCT
ap-1404	102	1	51	51	NUM
ap-1404	102	2	no	no	NOUN
ap-1404	102	3	.	.	PUNCT
ap-1404	103	1	4/2011	4/2011	NUM
ap-1404	103	2	note	note	NOUN
ap-1404	103	3	,	,	PUNCT
ap-1404	103	4	that	that	SCONJ
ap-1404	103	5	in	in	ADP
ap-1404	103	6	the	the	DET
ap-1404	103	7	case	case	NOUN
ap-1404	103	8	of	of	ADP
ap-1404	103	9	the	the	DET
ap-1404	103	10	quadric	quadric	ADJ
ap-1404	103	11	gravitation	gravitation	NOUN
ap-1404	103	12	(	(	PUNCT
ap-1404	103	13	n	n	NOUN
ap-1404	103	14	=	=	SYM
ap-1404	103	15	2	2	NUM
ap-1404	103	16	)	)	PUNCT
ap-1404	103	17	and	and	CCONJ
ap-1404	103	18	a	a	DET
ap-1404	103	19	flat	flat	ADJ
ap-1404	103	20	background	background	NOUN
ap-1404	103	21	(	(	PUNCT
ap-1404	103	22	r	r	NOUN
ap-1404	103	23	=	=	NOUN
ap-1404	103	24	0	0	NUM
ap-1404	103	25	)	)	PUNCT
ap-1404	103	26	,	,	PUNCT
ap-1404	103	27	instead	instead	ADV
ap-1404	103	28	of	of	ADP
ap-1404	103	29	(	(	PUNCT
ap-1404	103	30	25	25	NUM
ap-1404	103	31	)	)	PUNCT
ap-1404	103	32	we	we	PRON
ap-1404	103	33	obtain	obtain	VERB
ap-1404	103	34	δ(2)sg	δ(2)sg	ADJ
ap-1404	103	35	=	=	SYM
ap-1404	103	36	1	1	NUM
ap-1404	103	37	2m2	2m2	NUM
ap-1404	103	38	∫	∫	NOUN
ap-1404	103	39	d4x	d4x	PROPN
ap-1404	103	40	√	√	PROPN
ap-1404	103	41	−gh21	−gh21	NOUN
ap-1404	103	42	,	,	PUNCT
ap-1404	103	43	(	(	PUNCT
ap-1404	103	44	26	26	NUM
ap-1404	103	45	)	)	PUNCT
ap-1404	103	46	which	which	PRON
ap-1404	103	47	coincides	coincide	VERB
ap-1404	103	48	with	with	ADP
ap-1404	103	49	[	[	X
ap-1404	103	50	13	13	NUM
ap-1404	103	51	]	]	PUNCT
ap-1404	103	52	.	.	PUNCT
ap-1404	104	1	so	so	ADV
ap-1404	104	2	,	,	PUNCT
ap-1404	104	3	it	it	PRON
ap-1404	104	4	has	have	AUX
ap-1404	104	5	been	be	AUX
ap-1404	104	6	shown	show	VERB
ap-1404	104	7	that	that	SCONJ
ap-1404	104	8	in	in	ADP
ap-1404	104	9	the	the	DET
ap-1404	104	10	case	case	NOUN
ap-1404	104	11	of	of	ADP
ap-1404	104	12	any	any	DET
ap-1404	104	13	arbitrary	arbitrary	ADJ
ap-1404	104	14	background	background	NOUN
ap-1404	104	15	metric	metric	ADJ
ap-1404	104	16	for	for	ADP
ap-1404	104	17	any	any	PRON
ap-1404	104	18	n	n	NOUN
ap-1404	104	19	there	there	PRON
ap-1404	104	20	is	be	VERB
ap-1404	104	21	an	an	DET
ap-1404	104	22	equation	equation	NOUN
ap-1404	104	23	(	(	PUNCT
ap-1404	104	24	25	25	NUM
ap-1404	104	25	)	)	PUNCT
ap-1404	104	26	.	.	PUNCT
ap-1404	105	1	hence	hence	ADV
ap-1404	105	2	,	,	PUNCT
ap-1404	105	3	we	we	PRON
ap-1404	105	4	obtain	obtain	VERB
ap-1404	105	5	the	the	DET
ap-1404	105	6	propagator	propagator	NOUN
ap-1404	105	7	(	(	PUNCT
ap-1404	105	8	8)	8)	NUM
ap-1404	105	9	and	and	CCONJ
ap-1404	105	10	the	the	DET
ap-1404	105	11	schwinger	schwinger	NOUN
ap-1404	105	12	-	-	PUNCT
ap-1404	105	13	dyson	dyson	NOUN
ap-1404	105	14	equations	equation	NOUN
ap-1404	105	15	(	(	PUNCT
ap-1404	105	16	5	5	NUM
ap-1404	105	17	)	)	PUNCT
ap-1404	105	18	.	.	PUNCT
ap-1404	106	1	this	this	PRON
ap-1404	106	2	indicates	indicate	VERB
ap-1404	106	3	that	that	SCONJ
ap-1404	106	4	the	the	DET
ap-1404	106	5	effect	effect	NOUN
ap-1404	106	6	of	of	ADP
ap-1404	106	7	dynamical	dynamical	ADJ
ap-1404	106	8	symmetry	symmetry	NOUN
ap-1404	106	9	breaking	breaking	NOUN
ap-1404	106	10	is	be	AUX
ap-1404	106	11	possible	possible	ADJ
ap-1404	106	12	in	in	ADP
ap-1404	106	13	rn	rn	PROPN
ap-1404	106	14	-gravity	-gravity	NOUN
ap-1404	106	15	.	.	PUNCT
ap-1404	106	16	4	4	NUM
ap-1404	106	17	conclusions	conclusion	NOUN
ap-1404	106	18	some	some	DET
ap-1404	106	19	quantum	quantum	ADJ
ap-1404	106	20	properties	property	NOUN
ap-1404	106	21	of	of	ADP
ap-1404	106	22	model	model	NOUN
ap-1404	106	23	rn	rn	PROPN
ap-1404	106	24	-gravity	-gravity	PROPN
ap-1404	106	25	have	have	AUX
ap-1404	106	26	been	be	AUX
ap-1404	106	27	considered	consider	VERB
ap-1404	106	28	in	in	ADP
ap-1404	106	29	the	the	DET
ap-1404	106	30	paper	paper	NOUN
ap-1404	106	31	.	.	PUNCT
ap-1404	107	1	a	a	DET
ap-1404	107	2	comparative	comparative	ADJ
ap-1404	107	3	analysis	analysis	NOUN
ap-1404	107	4	for	for	ADP
ap-1404	107	5	two	two	NUM
ap-1404	107	6	cases	case	NOUN
ap-1404	107	7	:	:	PUNCT
ap-1404	107	8	a	a	X
ap-1404	107	9	)	)	PUNCT
ap-1404	107	10	a	a	DET
ap-1404	107	11	flat	flat	ADJ
ap-1404	107	12	background	background	NOUN
ap-1404	107	13	space	space	NOUN
ap-1404	107	14	-	-	PUNCT
ap-1404	107	15	time	time	NOUN
ap-1404	107	16	,	,	PUNCT
ap-1404	107	17	and	and	CCONJ
ap-1404	107	18	b	b	X
ap-1404	107	19	)	)	PUNCT
ap-1404	107	20	an	an	DET
ap-1404	107	21	arbitrary	arbitrary	ADJ
ap-1404	107	22	curved	curved	ADJ
ap-1404	107	23	background	background	NOUN
ap-1404	107	24	has	have	AUX
ap-1404	107	25	been	be	AUX
ap-1404	107	26	carried	carry	VERB
ap-1404	107	27	out	out	ADP
ap-1404	107	28	.	.	PUNCT
ap-1404	108	1	expanding	expand	VERB
ap-1404	108	2	this	this	DET
ap-1404	108	3	model	model	NOUN
ap-1404	108	4	of	of	ADP
ap-1404	108	5	gravity	gravity	NOUN
ap-1404	108	6	with	with	ADP
ap-1404	108	7	quantum	quantum	ADJ
ap-1404	108	8	corrections	correction	NOUN
ap-1404	108	9	hμν	hμν	AUX
ap-1404	108	10	,	,	PUNCT
ap-1404	108	11	we	we	PRON
ap-1404	108	12	found	find	VERB
ap-1404	108	13	that	that	SCONJ
ap-1404	108	14	in	in	ADP
ap-1404	108	15	the	the	DET
ap-1404	108	16	first	first	ADJ
ap-1404	108	17	case	case	NOUN
ap-1404	108	18	the	the	DET
ap-1404	108	19	smallest	small	ADJ
ap-1404	108	20	order	order	NOUN
ap-1404	108	21	of	of	ADP
ap-1404	108	22	quantum	quantum	ADJ
ap-1404	108	23	corrections	correction	NOUN
ap-1404	108	24	is	be	AUX
ap-1404	108	25	n	n	PRON
ap-1404	108	26	.	.	PUNCT
ap-1404	109	1	this	this	PRON
ap-1404	109	2	means	mean	VERB
ap-1404	109	3	that	that	SCONJ
ap-1404	109	4	in	in	ADP
ap-1404	109	5	the	the	DET
ap-1404	109	6	quantum	quantum	ADJ
ap-1404	109	7	theory	theory	NOUN
ap-1404	109	8	of	of	ADP
ap-1404	109	9	the	the	DET
ap-1404	109	10	rn	rn	PROPN
ap-1404	109	11	-gravity	-gravity	PROPN
ap-1404	109	12	graviton	graviton	NOUN
ap-1404	109	13	propagator	propagator	NOUN
ap-1404	109	14	(	(	PUNCT
ap-1404	109	15	for	for	ADP
ap-1404	109	16	n	n	X
ap-1404	109	17	>	>	X
ap-1404	109	18	2	2	NUM
ap-1404	109	19	)	)	PUNCT
ap-1404	109	20	does	do	AUX
ap-1404	109	21	not	not	PART
ap-1404	109	22	exist	exist	VERB
ap-1404	109	23	,	,	PUNCT
ap-1404	109	24	and	and	CCONJ
ap-1404	109	25	there	there	PRON
ap-1404	109	26	is	be	VERB
ap-1404	109	27	a	a	DET
ap-1404	109	28	vertex	vertex	NOUN
ap-1404	109	29	function	function	NOUN
ap-1404	109	30	of	of	ADP
ap-1404	109	31	graviton	graviton	NOUN
ap-1404	109	32	-	-	PUNCT
ap-1404	109	33	graviton	graviton	NOUN
ap-1404	109	34	interaction	interaction	NOUN
ap-1404	109	35	that	that	PRON
ap-1404	109	36	is	be	AUX
ap-1404	109	37	not	not	PART
ap-1404	109	38	used	use	VERB
ap-1404	109	39	in	in	ADP
ap-1404	109	40	this	this	DET
ap-1404	109	41	formalism	formalism	NOUN
ap-1404	109	42	.	.	PUNCT
ap-1404	110	1	thus	thus	ADV
ap-1404	110	2	,	,	PUNCT
ap-1404	110	3	there	there	PRON
ap-1404	110	4	is	be	VERB
ap-1404	110	5	no	no	DET
ap-1404	110	6	schwinger	schwinger	NOUN
ap-1404	110	7	-	-	PUNCT
ap-1404	110	8	dyson	dyson	NOUN
ap-1404	110	9	equation	equation	NOUN
ap-1404	110	10	(	(	PUNCT
ap-1404	110	11	5	5	NUM
ap-1404	110	12	)	)	PUNCT
ap-1404	110	13	and	and	CCONJ
ap-1404	110	14	,	,	PUNCT
ap-1404	110	15	therefore	therefore	ADV
ap-1404	110	16	,	,	PUNCT
ap-1404	110	17	there	there	PRON
ap-1404	110	18	is	be	VERB
ap-1404	110	19	no	no	DET
ap-1404	110	20	effect	effect	NOUN
ap-1404	110	21	to	to	PART
ap-1404	110	22	discuss	discuss	VERB
ap-1404	110	23	.	.	PUNCT
ap-1404	111	1	in	in	ADP
ap-1404	111	2	case	case	NOUN
ap-1404	111	3	b	b	NOUN
ap-1404	111	4	,	,	PUNCT
ap-1404	111	5	a	a	DET
ap-1404	111	6	general	general	ADJ
ap-1404	111	7	formula	formula	NOUN
ap-1404	111	8	(	(	PUNCT
ap-1404	111	9	25	25	NUM
ap-1404	111	10	)	)	PUNCT
ap-1404	111	11	for	for	ADP
ap-1404	111	12	the	the	DET
ap-1404	111	13	second	second	ADJ
ap-1404	111	14	variation	variation	NOUN
ap-1404	111	15	of	of	ADP
ap-1404	111	16	gravitational	gravitational	ADJ
ap-1404	111	17	action	action	NOUN
ap-1404	111	18	on	on	ADP
ap-1404	111	19	the	the	DET
ap-1404	111	20	quantum	quantum	NOUN
ap-1404	111	21	corrections	correction	NOUN
ap-1404	111	22	hμν	hμν	NOUN
ap-1404	111	23	is	be	AUX
ap-1404	111	24	obtained	obtain	VERB
ap-1404	111	25	,	,	PUNCT
ap-1404	111	26	which	which	PRON
ap-1404	111	27	in	in	ADP
ap-1404	111	28	the	the	DET
ap-1404	111	29	limit	limit	NOUN
ap-1404	111	30	r	r	NOUN
ap-1404	111	31	→	→	SYM
ap-1404	111	32	0	0	NUM
ap-1404	111	33	coincides	coincide	VERB
ap-1404	111	34	with	with	ADP
ap-1404	111	35	the	the	DET
ap-1404	111	36	previously	previously	ADV
ap-1404	111	37	known	know	VERB
ap-1404	111	38	results	result	NOUN
ap-1404	111	39	.	.	PUNCT
ap-1404	112	1	it	it	PRON
ap-1404	112	2	is	be	AUX
ap-1404	112	3	determined	determine	VERB
ap-1404	112	4	that	that	SCONJ
ap-1404	112	5	in	in	ADP
ap-1404	112	6	this	this	DET
ap-1404	112	7	formulation	formulation	NOUN
ap-1404	112	8	of	of	ADP
ap-1404	112	9	the	the	DET
ap-1404	112	10	problem	problem	NOUN
ap-1404	112	11	under	under	ADP
ap-1404	112	12	the	the	DET
ap-1404	112	13	effects	effect	NOUN
ap-1404	112	14	of	of	ADP
ap-1404	112	15	dynamical	dynamical	ADJ
ap-1404	112	16	symmetry	symmetry	NOUN
ap-1404	112	17	breaking	break	VERB
ap-1404	112	18	research	research	NOUN
ap-1404	112	19	the	the	DET
ap-1404	112	20	terms	term	NOUN
ap-1404	112	21	of	of	ADP
ap-1404	112	22	all	all	DET
ap-1404	112	23	powers	power	NOUN
ap-1404	112	24	from	from	ADP
ap-1404	112	25	the	the	DET
ap-1404	112	26	scalar	scalar	ADJ
ap-1404	112	27	curvature	curvature	NOUN
ap-1404	112	28	should	should	AUX
ap-1404	112	29	be	be	AUX
ap-1404	112	30	considered	consider	VERB
ap-1404	112	31	in	in	ADP
ap-1404	112	32	action	action	NOUN
ap-1404	112	33	for	for	ADP
ap-1404	112	34	the	the	DET
ap-1404	112	35	gravitational	gravitational	ADJ
ap-1404	112	36	field	field	NOUN
ap-1404	112	37	,	,	PUNCT
ap-1404	112	38	because	because	SCONJ
ap-1404	112	39	they	they	PRON
ap-1404	112	40	give	give	VERB
ap-1404	112	41	exactly	exactly	ADV
ap-1404	112	42	the	the	DET
ap-1404	112	43	same	same	ADJ
ap-1404	112	44	order	order	NOUN
ap-1404	112	45	in	in	ADP
ap-1404	112	46	quantum	quantum	ADJ
ap-1404	112	47	fluctuations	fluctuation	NOUN
ap-1404	112	48	as	as	ADP
ap-1404	112	49	the	the	DET
ap-1404	112	50	einstein	einstein	ADJ
ap-1404	112	51	action	action	NOUN
ap-1404	112	52	(	(	PUNCT
ap-1404	112	53	n	n	NOUN
ap-1404	112	54	=	=	SYM
ap-1404	112	55	1	1	NUM
ap-1404	112	56	)	)	PUNCT
ap-1404	112	57	.	.	PUNCT
ap-1404	113	1	therefore	therefore	ADV
ap-1404	113	2	,	,	PUNCT
ap-1404	113	3	if	if	SCONJ
ap-1404	113	4	we	we	PRON
ap-1404	113	5	represent	represent	VERB
ap-1404	113	6	a	a	DET
ap-1404	113	7	full	full	ADJ
ap-1404	113	8	gravitational	gravitational	ADJ
ap-1404	113	9	action	action	NOUN
ap-1404	113	10	in	in	ADP
ap-1404	113	11	the	the	DET
ap-1404	113	12	form	form	NOUN
ap-1404	113	13	of	of	ADP
ap-1404	113	14	l	l	NOUN
ap-1404	113	15	=	=	PUNCT
ap-1404	113	16	α1r	α1r	NOUN
ap-1404	113	17	1	1	NUM
ap-1404	113	18	+	+	NUM
ap-1404	113	19	α2r	α2r	PROPN
ap-1404	113	20	2	2	NUM
ap-1404	113	21	+	+	CCONJ
ap-1404	113	22	α3r	α3r	SYM
ap-1404	113	23	3	3	NUM
ap-1404	113	24	+	+	CCONJ
ap-1404	113	25	.	.	PUNCT
ap-1404	113	26	.	.	PUNCT
ap-1404	114	1	.	.	PUNCT
ap-1404	115	1	,	,	PUNCT
ap-1404	115	2	where	where	SCONJ
ap-1404	115	3	αi	αi	PRON
ap-1404	115	4	are	be	AUX
ap-1404	115	5	some	some	DET
ap-1404	115	6	factors	factor	NOUN
ap-1404	115	7	of	of	ADP
ap-1404	115	8	a	a	DET
ap-1404	115	9	necessary	necessary	ADJ
ap-1404	115	10	dimension	dimension	NOUN
ap-1404	115	11	,	,	PUNCT
ap-1404	115	12	then	then	ADV
ap-1404	115	13	in	in	ADP
ap-1404	115	14	the	the	DET
ap-1404	115	15	case	case	NOUN
ap-1404	115	16	of	of	ADP
ap-1404	115	17	quantum	quantum	NOUN
ap-1404	115	18	gravity	gravity	NOUN
ap-1404	115	19	,	,	PUNCT
ap-1404	115	20	each	each	DET
ap-1404	115	21	term	term	NOUN
ap-1404	115	22	will	will	AUX
ap-1404	115	23	contribute	contribute	VERB
ap-1404	115	24	to	to	ADP
ap-1404	115	25	the	the	DET
ap-1404	115	26	propagator	propagator	NOUN
ap-1404	115	27	of	of	ADP
ap-1404	115	28	a	a	DET
ap-1404	115	29	graviton	graviton	NOUN
ap-1404	115	30	(	(	PUNCT
ap-1404	115	31	∼	∼	NOUN
ap-1404	115	32	h2	h2	NOUN
ap-1404	115	33	)	)	PUNCT
ap-1404	115	34	.	.	PUNCT
ap-1404	116	1	and	and	CCONJ
ap-1404	116	2	we	we	PRON
ap-1404	116	3	can	can	AUX
ap-1404	116	4	not	not	PART
ap-1404	116	5	neglect	neglect	VERB
ap-1404	116	6	any	any	DET
ap-1404	116	7	term	term	NOUN
ap-1404	116	8	.	.	PUNCT
ap-1404	117	1	in	in	ADP
ap-1404	117	2	fact	fact	NOUN
ap-1404	117	3	,	,	PUNCT
ap-1404	117	4	this	this	PRON
ap-1404	117	5	means	mean	VERB
ap-1404	117	6	that	that	SCONJ
ap-1404	117	7	there	there	PRON
ap-1404	117	8	exist	exist	VERB
ap-1404	117	9	schwinger	schwinger	NOUN
ap-1404	117	10	-	-	PUNCT
ap-1404	117	11	dyson	dyson	NOUN
ap-1404	117	12	equations	equation	NOUN
ap-1404	117	13	for	for	ADP
ap-1404	117	14	any	any	DET
ap-1404	117	15	n	n	NOUN
ap-1404	117	16	,	,	PUNCT
ap-1404	117	17	and	and	CCONJ
ap-1404	117	18	,	,	PUNCT
ap-1404	117	19	hence	hence	ADV
ap-1404	117	20	,	,	PUNCT
ap-1404	117	21	the	the	DET
ap-1404	117	22	effect	effect	NOUN
ap-1404	117	23	of	of	ADP
ap-1404	117	24	dynamical	dynamical	ADJ
ap-1404	117	25	symmetry	symmetry	NOUN
ap-1404	117	26	breaking	breaking	NOUN
ap-1404	117	27	is	be	AUX
ap-1404	117	28	possible	possible	ADJ
ap-1404	117	29	.	.	PUNCT
ap-1404	118	1	we	we	PRON
ap-1404	118	2	would	would	AUX
ap-1404	118	3	like	like	VERB
ap-1404	118	4	to	to	PART
ap-1404	118	5	note	note	VERB
ap-1404	118	6	the	the	DET
ap-1404	118	7	analogy	analogy	NOUN
ap-1404	118	8	with	with	ADP
ap-1404	118	9	the	the	DET
ap-1404	118	10	fierzpauli	fierzpauli	PROPN
ap-1404	118	11	model	model	NOUN
ap-1404	118	12	,	,	PUNCT
ap-1404	118	13	in	in	ADP
ap-1404	118	14	which	which	PRON
ap-1404	118	15	all	all	DET
ap-1404	118	16	undesirable	undesirable	ADJ
ap-1404	118	17	degrees	degree	NOUN
ap-1404	118	18	of	of	ADP
ap-1404	118	19	freedom	freedom	NOUN
ap-1404	118	20	in	in	ADP
ap-1404	118	21	the	the	DET
ap-1404	118	22	flat	flat	ADJ
ap-1404	118	23	metric	metric	ADJ
ap-1404	118	24	background	background	NOUN
ap-1404	118	25	are	be	AUX
ap-1404	118	26	cancelled	cancel	VERB
ap-1404	118	27	,	,	PUNCT
ap-1404	118	28	whereas	whereas	SCONJ
ap-1404	118	29	in	in	ADP
ap-1404	118	30	a	a	DET
ap-1404	118	31	curved	curved	ADJ
ap-1404	118	32	background	background	NOUN
ap-1404	118	33	one	one	NUM
ap-1404	118	34	undesirable	undesirable	ADJ
ap-1404	118	35	degree	degree	NOUN
ap-1404	118	36	of	of	ADP
ap-1404	118	37	freedom	freedom	NOUN
ap-1404	118	38	(	(	PUNCT
ap-1404	118	39	the	the	DET
ap-1404	118	40	boulware	boulware	NOUN
ap-1404	118	41	-	-	PUNCT
ap-1404	118	42	deser	deser	NOUN
ap-1404	118	43	mode	mode	NOUN
ap-1404	118	44	)	)	PUNCT
ap-1404	118	45	appears	appear	VERB
ap-1404	118	46	again	again	ADV
ap-1404	118	47	in	in	ADP
ap-1404	118	48	the	the	DET
ap-1404	118	49	spectrum	spectrum	NOUN
ap-1404	118	50	[	[	X
ap-1404	118	51	16	16	NUM
ap-1404	118	52	]	]	PUNCT
ap-1404	118	53	.	.	PUNCT
ap-1404	119	1	references	reference	NOUN
ap-1404	119	2	[	[	X
ap-1404	119	3	1	1	NUM
ap-1404	119	4	]	]	X
ap-1404	119	5	sitenko	sitenko	PROPN
ap-1404	119	6	,	,	PUNCT
ap-1404	119	7	yu	yu	PROPN
ap-1404	119	8	.	.	PUNCT
ap-1404	119	9	a.	a.	PROPN
ap-1404	119	10	:	:	PUNCT
ap-1404	119	11	polarization	polarization	NOUN
ap-1404	119	12	of	of	ADP
ap-1404	119	13	the	the	DET
ap-1404	119	14	massless	massless	ADJ
ap-1404	119	15	fermionic	fermionic	NOUN
ap-1404	119	16	vacuum	vacuum	NOUN
ap-1404	119	17	in	in	ADP
ap-1404	119	18	the	the	DET
ap-1404	119	19	background	background	NOUN
ap-1404	119	20	of	of	ADP
ap-1404	119	21	a	a	DET
ap-1404	119	22	singular	singular	ADJ
ap-1404	119	23	magnetic	magnetic	ADJ
ap-1404	119	24	vortex	vortex	NOUN
ap-1404	119	25	in	in	ADP
ap-1404	119	26	2	2	NUM
ap-1404	119	27	+	+	CCONJ
ap-1404	119	28	1	1	NUM
ap-1404	119	29	dimensional	dimensional	ADJ
ap-1404	119	30	space	space	NOUN
ap-1404	119	31	-	-	PUNCT
ap-1404	119	32	time	time	NOUN
ap-1404	119	33	,	,	PUNCT
ap-1404	119	34	ukr	ukr	PROPN
ap-1404	119	35	.	.	PUNCT
ap-1404	119	36	j.	j.	PROPN
ap-1404	119	37	phys	phys	PROPN
ap-1404	119	38	.	.	PUNCT
ap-1404	120	1	43	43	NUM
ap-1404	120	2	(	(	PUNCT
ap-1404	120	3	1998	1998	NUM
ap-1404	120	4	)	)	PUNCT
ap-1404	120	5	,	,	PUNCT
ap-1404	120	6	1	1	NUM
ap-1404	120	7	513–1525	513–1525	NUM
ap-1404	120	8	.	.	PUNCT
ap-1404	121	1	[	[	X
ap-1404	121	2	2	2	NUM
ap-1404	121	3	]	]	X
ap-1404	121	4	sitenko	sitenko	PROPN
ap-1404	121	5	,	,	PUNCT
ap-1404	121	6	yu	yu	PROPN
ap-1404	121	7	.	.	PUNCT
ap-1404	121	8	a.	a.	PROPN
ap-1404	121	9	:	:	PUNCT
ap-1404	121	10	induced	induce	VERB
ap-1404	121	11	vacuum	vacuum	NOUN
ap-1404	121	12	condensates	condensate	NOUN
ap-1404	121	13	in	in	ADP
ap-1404	121	14	the	the	DET
ap-1404	121	15	background	background	NOUN
ap-1404	121	16	of	of	ADP
ap-1404	121	17	a	a	DET
ap-1404	121	18	singular	singular	ADJ
ap-1404	121	19	magnetic	magnetic	ADJ
ap-1404	121	20	vortex	vortex	NOUN
ap-1404	121	21	in	in	ADP
ap-1404	121	22	2	2	NUM
ap-1404	121	23	+	+	CCONJ
ap-1404	121	24	1	1	NUM
ap-1404	121	25	dimensional	dimensional	ADJ
ap-1404	121	26	space	space	NOUN
ap-1404	121	27	-	-	PUNCT
ap-1404	121	28	time	time	NOUN
ap-1404	121	29	,	,	PUNCT
ap-1404	121	30	phys.rev	phys.rev	X
ap-1404	121	31	.	.	PUNCT
ap-1404	122	1	d60	d60	PROPN
ap-1404	122	2	(	(	PUNCT
ap-1404	122	3	1999	1999	NUM
ap-1404	122	4	)	)	PUNCT
ap-1404	122	5	,	,	PUNCT
ap-1404	122	6	125	125	NUM
ap-1404	122	7	017	017	NUM
ap-1404	122	8	.	.	PUNCT
ap-1404	123	1	[	[	X
ap-1404	123	2	3	3	NUM
ap-1404	123	3	]	]	X
ap-1404	123	4	miransky	miransky	NOUN
ap-1404	123	5	,	,	PUNCT
ap-1404	123	6	v.	v.	ADP
ap-1404	123	7	a.	a.	NOUN
ap-1404	123	8	:	:	PUNCT
ap-1404	124	1	dynamical	dynamical	ADJ
ap-1404	124	2	symmetry	symmetry	NOUN
ap-1404	124	3	breaking	break	VERB
ap-1404	124	4	in	in	ADP
ap-1404	124	5	quantum	quantum	ADJ
ap-1404	124	6	field	field	NOUN
ap-1404	124	7	theories	theory	NOUN
ap-1404	124	8	,	,	PUNCT
ap-1404	124	9	singapore	singapore	PROPN
ap-1404	124	10	:	:	PUNCT
ap-1404	124	11	world	world	NOUN
ap-1404	124	12	scientific	scientific	ADJ
ap-1404	124	13	,	,	PUNCT
ap-1404	124	14	1993	1993	NUM
ap-1404	124	15	.	.	PUNCT
ap-1404	125	1	[	[	X
ap-1404	125	2	4	4	NUM
ap-1404	125	3	]	]	X
ap-1404	125	4	inagaki	inagaki	ADV
ap-1404	125	5	,	,	PUNCT
ap-1404	125	6	t.	t.	PROPN
ap-1404	125	7	,	,	PUNCT
ap-1404	125	8	odintsov	odintsov	PROPN
ap-1404	125	9	,	,	PUNCT
ap-1404	125	10	s.	s.	PROPN
ap-1404	125	11	d.	d.	PROPN
ap-1404	125	12	,	,	PUNCT
ap-1404	125	13	shil’nov	shil’nov	PROPN
ap-1404	125	14	,	,	PUNCT
ap-1404	125	15	yu	yu	PROPN
ap-1404	125	16	.	.	PUNCT
ap-1404	125	17	i.	i.	PROPN
ap-1404	125	18	:	:	PUNCT
ap-1404	125	19	dynamical	dynamical	ADJ
ap-1404	125	20	symmetry	symmetry	NOUN
ap-1404	125	21	breaking	break	VERB
ap-1404	125	22	in	in	ADP
ap-1404	125	23	the	the	DET
ap-1404	125	24	external	external	ADJ
ap-1404	125	25	gravitational	gravitational	ADJ
ap-1404	125	26	and	and	CCONJ
ap-1404	125	27	constant	constant	ADJ
ap-1404	125	28	magnetic	magnetic	ADJ
ap-1404	125	29	fields	field	NOUN
ap-1404	125	30	,	,	PUNCT
ap-1404	125	31	modern	modern	ADJ
ap-1404	125	32	phys	phy	NOUN
ap-1404	125	33	.	.	PUNCT
ap-1404	126	1	a.	a.	NOUN
ap-1404	126	2	12	12	NUM
ap-1404	126	3	(	(	PUNCT
ap-1404	126	4	1999	1999	NUM
ap-1404	126	5	)	)	PUNCT
ap-1404	126	6	,	,	PUNCT
ap-1404	126	7	481–503	481–503	NUM
ap-1404	126	8	.	.	PUNCT
ap-1404	127	1	[	[	X
ap-1404	127	2	5	5	NUM
ap-1404	127	3	]	]	X
ap-1404	127	4	gitman	gitman	NOUN
ap-1404	127	5	,	,	PUNCT
ap-1404	127	6	d.	d.	PROPN
ap-1404	127	7	m.	m.	PROPN
ap-1404	127	8	,	,	PUNCT
ap-1404	127	9	odintsov	odintsov	PROPN
ap-1404	127	10	,	,	PUNCT
ap-1404	127	11	s.	s.	PROPN
ap-1404	127	12	d.	d.	PROPN
ap-1404	127	13	,	,	PUNCT
ap-1404	127	14	shil’nov	shil’nov	PROPN
ap-1404	127	15	,	,	PUNCT
ap-1404	127	16	yu	yu	PROPN
ap-1404	127	17	.	.	PUNCT
ap-1404	127	18	i.	i.	PROPN
ap-1404	127	19	:	:	PUNCT
ap-1404	127	20	chiral	chiral	ADJ
ap-1404	127	21	symmetry	symmetry	NOUN
ap-1404	127	22	breaking	break	VERB
ap-1404	127	23	in	in	ADP
ap-1404	127	24	d	d	PROPN
ap-1404	127	25	=	=	SYM
ap-1404	127	26	3	3	NUM
ap-1404	127	27	njl	njl	NOUN
ap-1404	127	28	model	model	NOUN
ap-1404	127	29	in	in	ADP
ap-1404	127	30	external	external	ADJ
ap-1404	127	31	gravitational	gravitational	ADJ
ap-1404	127	32	and	and	CCONJ
ap-1404	127	33	magnetic	magnetic	ADJ
ap-1404	127	34	fields	field	NOUN
ap-1404	127	35	,	,	PUNCT
ap-1404	127	36	phys	phy	NOUN
ap-1404	127	37	.	.	PUNCT
ap-1404	128	1	rev	rev	PROPN
ap-1404	128	2	.	.	PROPN
ap-1404	128	3	d54	d54	PROPN
ap-1404	128	4	(	(	PUNCT
ap-1404	128	5	1996	1996	NUM
ap-1404	128	6	)	)	PUNCT
ap-1404	128	7	,	,	PUNCT
ap-1404	128	8	2	2	NUM
ap-1404	128	9	968–2	968–2	NUM
ap-1404	128	10	970	970	NUM
ap-1404	128	11	.	.	PUNCT
ap-1404	129	1	[	[	X
ap-1404	129	2	6	6	NUM
ap-1404	129	3	]	]	SYM
ap-1404	129	4	odintsov	odintsov	NOUN
ap-1404	129	5	,	,	PUNCT
ap-1404	129	6	s.	s.	PROPN
ap-1404	129	7	d.	d.	PROPN
ap-1404	129	8	,	,	PUNCT
ap-1404	129	9	shil’nov	shil’nov	PROPN
ap-1404	129	10	,	,	PUNCT
ap-1404	129	11	yu	yu	PROPN
ap-1404	129	12	.	.	PUNCT
ap-1404	129	13	i.	i.	PROPN
ap-1404	129	14	:	:	PUNCT
ap-1404	129	15	schwingerdyson	schwingerdyson	NOUN
ap-1404	129	16	equations	equation	NOUN
ap-1404	129	17	in	in	ADP
ap-1404	129	18	qed	qed	PROPN
ap-1404	129	19	at	at	ADP
ap-1404	129	20	non	non	ADJ
ap-1404	129	21	-	-	ADJ
ap-1404	129	22	zero	zero	NUM
ap-1404	129	23	temperature	temperature	NOUN
ap-1404	129	24	,	,	PUNCT
ap-1404	129	25	modern	modern	ADJ
ap-1404	129	26	phys	phy	NOUN
ap-1404	129	27	.	.	PUNCT
ap-1404	130	1	lett	lett	PROPN
ap-1404	130	2	.	.	PUNCT
ap-1404	131	1	a.	a.	PROPN
ap-1404	131	2	6	6	NUM
ap-1404	131	3	(	(	PUNCT
ap-1404	131	4	1991	1991	NUM
ap-1404	131	5	)	)	PUNCT
ap-1404	131	6	,	,	PUNCT
ap-1404	131	7	707–710	707–710	NUM
ap-1404	131	8	.	.	PUNCT
ap-1404	132	1	[	[	X
ap-1404	132	2	7	7	NUM
ap-1404	132	3	]	]	X
ap-1404	132	4	bashir	bashir	NOUN
ap-1404	132	5	,	,	PUNCT
ap-1404	132	6	a.	a.	NOUN
ap-1404	132	7	,	,	PUNCT
ap-1404	132	8	diaz	diaz	PROPN
ap-1404	132	9	-	-	PUNCT
ap-1404	132	10	cruz	cruz	PROPN
ap-1404	132	11	,	,	PUNCT
ap-1404	132	12	j.	j.	PROPN
ap-1404	132	13	l.	l.	PROPN
ap-1404	132	14	:	:	PUNCT
ap-1404	132	15	a	a	DET
ap-1404	132	16	study	study	NOUN
ap-1404	132	17	of	of	ADP
ap-1404	132	18	schwinger	schwinger	NOUN
ap-1404	132	19	-	-	PUNCT
ap-1404	132	20	dyson	dyson	NOUN
ap-1404	132	21	equations	equation	NOUN
ap-1404	132	22	for	for	ADP
ap-1404	132	23	yukawa	yukawa	PROPN
ap-1404	132	24	and	and	CCONJ
ap-1404	132	25	wess	wess	PROPN
ap-1404	132	26	-	-	PUNCT
ap-1404	132	27	zumino	zumino	PROPN
ap-1404	132	28	models	model	NOUN
ap-1404	132	29	,	,	PUNCT
ap-1404	132	30	j.	j.	PROPN
ap-1404	132	31	phys	phys	PROPN
ap-1404	132	32	.	.	PUNCT
ap-1404	132	33	g25	g25	PROPN
ap-1404	132	34	(	(	PUNCT
ap-1404	132	35	1999	1999	NUM
ap-1404	132	36	)	)	PUNCT
ap-1404	132	37	,	,	PUNCT
ap-1404	132	38	1	1	NUM
ap-1404	132	39	797–1805	797–1805	NUM
ap-1404	132	40	.	.	PUNCT
ap-1404	133	1	[	[	X
ap-1404	133	2	8	8	NUM
ap-1404	133	3	]	]	X
ap-1404	133	4	elizalde	elizalde	PROPN
ap-1404	133	5	,	,	PUNCT
ap-1404	133	6	e.	e.	PROPN
ap-1404	133	7	,	,	PUNCT
ap-1404	133	8	odintsov	odintsov	PROPN
ap-1404	133	9	,	,	PUNCT
ap-1404	133	10	s.	s.	PROPN
ap-1404	133	11	d.	d.	PROPN
ap-1404	133	12	,	,	PUNCT
ap-1404	133	13	romeo	romeo	PROPN
ap-1404	133	14	,	,	PUNCT
ap-1404	133	15	a.	a.	NOUN
ap-1404	133	16	,	,	PUNCT
ap-1404	133	17	shil’nov	shil’nov	PROPN
ap-1404	133	18	,	,	PUNCT
ap-1404	133	19	yu	yu	PROPN
ap-1404	133	20	.	.	PUNCT
ap-1404	133	21	i.	i.	PROPN
ap-1404	133	22	:	:	PUNCT
ap-1404	133	23	schwinger	schwinger	NOUN
ap-1404	133	24	-	-	PUNCT
ap-1404	133	25	dyson	dyson	PROPN
ap-1404	133	26	equations	equation	NOUN
ap-1404	133	27	and	and	CCONJ
ap-1404	133	28	chiral	chiral	ADJ
ap-1404	133	29	symmetry	symmetry	NOUN
ap-1404	133	30	breaking	break	VERB
ap-1404	133	31	in	in	ADP
ap-1404	133	32	2d	2d	NUM
ap-1404	133	33	induced	induce	VERB
ap-1404	133	34	gravity	gravity	NOUN
ap-1404	133	35	,	,	PUNCT
ap-1404	133	36	mod	mod	PROPN
ap-1404	133	37	.	.	PUNCT
ap-1404	134	1	phys	phys	PROPN
ap-1404	134	2	.	.	PUNCT
ap-1404	135	1	lett	lett	PROPN
ap-1404	135	2	.	.	PUNCT
ap-1404	136	1	a10	a10	PROPN
ap-1404	136	2	(	(	PUNCT
ap-1404	136	3	1995	1995	NUM
ap-1404	136	4	)	)	PUNCT
ap-1404	136	5	,	,	PUNCT
ap-1404	136	6	451–456	451–456	NUM
ap-1404	136	7	.	.	PUNCT
ap-1404	137	1	[	[	X
ap-1404	137	2	9	9	NUM
ap-1404	137	3	]	]	X
ap-1404	137	4	s̃auli	s̃auli	PROPN
ap-1404	137	5	,	,	PUNCT
ap-1404	137	6	v.	v.	PROPN
ap-1404	137	7	,	,	PUNCT
ap-1404	137	8	adam	adam	PROPN
ap-1404	137	9	,	,	PUNCT
ap-1404	137	10	j.	j.	PROPN
ap-1404	137	11	,	,	PUNCT
ap-1404	137	12	jr	jr	PROPN
ap-1404	137	13	.	.	PROPN
ap-1404	137	14	,	,	PUNCT
ap-1404	137	15	bicudo	bicudo	PROPN
ap-1404	137	16	,	,	PUNCT
ap-1404	137	17	p.	p.	NOUN
ap-1404	137	18	:	:	PUNCT
ap-1404	137	19	dynamical	dynamical	ADJ
ap-1404	137	20	chiral	chiral	ADJ
ap-1404	137	21	symmetry	symmetry	NOUN
ap-1404	137	22	breaking	break	VERB
ap-1404	137	23	with	with	ADP
ap-1404	137	24	minkowski	minkowski	ADJ
ap-1404	137	25	space	space	NOUN
ap-1404	137	26	integral	integral	ADJ
ap-1404	137	27	representations	representation	NOUN
ap-1404	137	28	,	,	PUNCT
ap-1404	137	29	phys	phy	NOUN
ap-1404	137	30	.	.	PUNCT
ap-1404	138	1	rev.d75	rev.d75	NOUN
ap-1404	138	2	(	(	PUNCT
ap-1404	138	3	2007	2007	NUM
ap-1404	138	4	)	)	PUNCT
ap-1404	138	5	,	,	PUNCT
ap-1404	138	6	087	087	NUM
ap-1404	138	7	701	701	NUM
ap-1404	138	8	.	.	PUNCT
ap-1404	139	1	[	[	X
ap-1404	139	2	10	10	NUM
ap-1404	139	3	]	]	X
ap-1404	139	4	de	de	X
ap-1404	139	5	felice	felice	X
ap-1404	139	6	,	,	PUNCT
ap-1404	139	7	a.	a.	PROPN
ap-1404	139	8	,	,	PUNCT
ap-1404	139	9	tsujikawa	tsujikawa	PROPN
ap-1404	139	10	,	,	PUNCT
ap-1404	139	11	s.	s.	PROPN
ap-1404	139	12	:	:	PUNCT
ap-1404	139	13	f(r	f(r	NOUN
ap-1404	139	14	)	)	PUNCT
ap-1404	139	15	theories	theory	NOUN
ap-1404	139	16	,	,	PUNCT
ap-1404	139	17	living	living	NOUN
ap-1404	139	18	rev	rev	PROPN
ap-1404	139	19	.	.	PROPN
ap-1404	139	20	relativity	relativity	NOUN
ap-1404	139	21	13	13	NUM
ap-1404	139	22	(	(	PUNCT
ap-1404	139	23	2010	2010	NUM
ap-1404	139	24	)	)	PUNCT
ap-1404	139	25	,	,	PUNCT
ap-1404	139	26	1–161	1–161	NUM
ap-1404	139	27	,	,	PUNCT
ap-1404	139	28	3	3	NUM
ap-1404	139	29	.	.	PUNCT
ap-1404	140	1	http://www.livingreviews.org/lrr-2010-3	http://www.livingreviews.org/lrr-2010-3	ADV
ap-1404	140	2	[	[	X
ap-1404	140	3	11	11	NUM
ap-1404	140	4	]	]	SYM
ap-1404	140	5	kotvytskiy	kotvytskiy	NOUN
ap-1404	140	6	,	,	PUNCT
ap-1404	140	7	a.	a.	NOUN
ap-1404	140	8	t.	t.	PROPN
ap-1404	140	9	,	,	PUNCT
ap-1404	140	10	kryuchkov	kryuchkov	PROPN
ap-1404	140	11	,	,	PUNCT
ap-1404	140	12	d.	d.	PROPN
ap-1404	140	13	v.	v.	PROPN
ap-1404	140	14	:	:	PUNCT
ap-1404	140	15	the	the	DET
ap-1404	140	16	generalized	generalized	ADJ
ap-1404	140	17	equation	equation	NOUN
ap-1404	140	18	of	of	ADP
ap-1404	140	19	gravitation	gravitation	NOUN
ap-1404	140	20	in	in	ADP
ap-1404	140	21	type	type	NOUN
ap-1404	140	22	models	model	NOUN
ap-1404	140	23	,	,	PUNCT
ap-1404	140	24	the	the	DET
ap-1404	140	25	journal	journal	NOUN
ap-1404	140	26	of	of	ADP
ap-1404	140	27	kharkiv	kharkiv	PROPN
ap-1404	140	28	national	national	PROPN
ap-1404	140	29	university	university	PROPN
ap-1404	140	30	,	,	PUNCT
ap-1404	140	31	ser	ser	PROPN
ap-1404	140	32	.	.	PUNCT
ap-1404	140	33	nuclei	nuclei	PROPN
ap-1404	140	34	,	,	PUNCT
ap-1404	140	35	particles	particle	NOUN
ap-1404	140	36	and	and	CCONJ
ap-1404	140	37	fields	field	NOUN
ap-1404	140	38	4(40	4(40	NUM
ap-1404	140	39	)	)	PUNCT
ap-1404	140	40	(	(	PUNCT
ap-1404	140	41	2009	2009	NUM
ap-1404	140	42	)	)	PUNCT
ap-1404	140	43	,	,	PUNCT
ap-1404	140	44	29–33	29–33	NUM
ap-1404	140	45	.	.	PUNCT
ap-1404	141	1	[	[	X
ap-1404	141	2	12	12	NUM
ap-1404	141	3	]	]	X
ap-1404	141	4	bertolami	bertolami	NOUN
ap-1404	141	5	,	,	PUNCT
ap-1404	141	6	o.	o.	PROPN
ap-1404	141	7	,	,	PUNCT
ap-1404	141	8	boehmer	boehmer	PROPN
ap-1404	141	9	,	,	PUNCT
ap-1404	141	10	c.	c.	PROPN
ap-1404	141	11	g.	g.	PROPN
ap-1404	141	12	,	,	PUNCT
ap-1404	141	13	harko	harko	PROPN
ap-1404	141	14	,	,	PUNCT
ap-1404	141	15	t.	t.	PROPN
ap-1404	141	16	,	,	PUNCT
ap-1404	141	17	lobo	lobo	PROPN
ap-1404	141	18	,	,	PUNCT
ap-1404	141	19	f.	f.	PROPN
ap-1404	141	20	:	:	PUNCT
ap-1404	141	21	extra	extra	ADJ
ap-1404	141	22	force	force	NOUN
ap-1404	141	23	in	in	ADP
ap-1404	141	24	f(r	f(r	NOUN
ap-1404	141	25	)	)	PUNCT
ap-1404	141	26	modified	modify	VERB
ap-1404	141	27	theories	theory	NOUN
ap-1404	141	28	of	of	ADP
ap-1404	141	29	gravity	gravity	NOUN
ap-1404	141	30	,	,	PUNCT
ap-1404	141	31	phys	phy	NOUN
ap-1404	141	32	.	.	PUNCT
ap-1404	142	1	rev	rev	PROPN
ap-1404	142	2	.	.	PROPN
ap-1404	142	3	d75	d75	NOUN
ap-1404	142	4	(	(	PUNCT
ap-1404	142	5	2007	2007	NUM
ap-1404	142	6	)	)	PUNCT
ap-1404	142	7	,	,	PUNCT
ap-1404	142	8	104	104	NUM
ap-1404	142	9	016	016	NUM
ap-1404	142	10	.	.	PUNCT
ap-1404	143	1	57	57	NUM
ap-1404	143	2	acta	acta	PROPN
ap-1404	143	3	polytechnica	polytechnica	PROPN
ap-1404	143	4	vol	vol	NOUN
ap-1404	143	5	.	.	PUNCT
ap-1404	144	1	51	51	NUM
ap-1404	144	2	no	no	INTJ
ap-1404	144	3	.	.	PUNCT
ap-1404	144	4	4/2011	4/2011	NUM
ap-1404	145	1	[	[	SYM
ap-1404	145	2	13	13	NUM
ap-1404	145	3	]	]	SYM
ap-1404	145	4	shil’nov	shil’nov	PROPN
ap-1404	145	5	,	,	PUNCT
ap-1404	145	6	yu	yu	PROPN
ap-1404	145	7	.	.	PROPN
ap-1404	145	8	i.	i.	PROPN
ap-1404	145	9	,	,	PUNCT
ap-1404	145	10	chitov	chitov	PROPN
ap-1404	145	11	,	,	PUNCT
ap-1404	145	12	v.	v.	PROPN
ap-1404	145	13	v.	v.	ADP
ap-1404	145	14	,	,	PUNCT
ap-1404	145	15	kotwicki	kotwicki	PROPN
ap-1404	145	16	,	,	PUNCT
ap-1404	145	17	a.	a.	NOUN
ap-1404	145	18	t.	t.	PROPN
ap-1404	145	19	:	:	PUNCT
ap-1404	145	20	equations	equations	PROPN
ap-1404	145	21	schwinger	schwinger	PROPN
ap-1404	145	22	-	-	PUNCT
ap-1404	145	23	dyson	dyson	NOUN
ap-1404	145	24	and	and	CCONJ
ap-1404	145	25	dynamical	dynamical	ADJ
ap-1404	145	26	symmetry	symmetry	NOUN
ap-1404	145	27	breaking	break	VERB
ap-1404	145	28	in	in	ADP
ap-1404	145	29	two	two	NUM
ap-1404	145	30	-	-	PUNCT
ap-1404	145	31	dimension	dimension	NOUN
ap-1404	145	32	quantum	quantum	NOUN
ap-1404	145	33	gravity	gravity	NOUN
ap-1404	145	34	,	,	PUNCT
ap-1404	145	35	russian	russian	ADJ
ap-1404	145	36	phys	phy	NOUN
ap-1404	145	37	.	.	PUNCT
ap-1404	146	1	j.	j.	PROPN
ap-1404	146	2	(	(	PUNCT
ap-1404	146	3	izv	izv	PROPN
ap-1404	146	4	.	.	PUNCT
ap-1404	146	5	vuzov	vuzov	PROPN
ap-1404	146	6	.	.	PUNCT
ap-1404	147	1	fizika	fizika	ADJ
ap-1404	147	2	)	)	PUNCT
ap-1404	147	3	3	3	NUM
ap-1404	147	4	(	(	PUNCT
ap-1404	147	5	1997	1997	NUM
ap-1404	147	6	)	)	PUNCT
ap-1404	147	7	,	,	PUNCT
ap-1404	147	8	40–44	40–44	NUM
ap-1404	147	9	.	.	PUNCT
ap-1404	148	1	[	[	X
ap-1404	148	2	14	14	NUM
ap-1404	148	3	]	]	SYM
ap-1404	148	4	shil’nov	shil’nov	PROPN
ap-1404	148	5	,	,	PUNCT
ap-1404	148	6	yu	yu	PROPN
ap-1404	148	7	.	.	PROPN
ap-1404	148	8	i.	i.	PROPN
ap-1404	148	9	,	,	PUNCT
ap-1404	148	10	chitov	chitov	PROPN
ap-1404	148	11	,	,	PUNCT
ap-1404	148	12	v.	v.	PROPN
ap-1404	148	13	v.	v.	ADP
ap-1404	148	14	,	,	PUNCT
ap-1404	148	15	kotwicki	kotwicki	PROPN
ap-1404	148	16	,	,	PUNCT
ap-1404	148	17	a.	a.	NOUN
ap-1404	148	18	t.	t.	PROPN
ap-1404	148	19	:	:	PUNCT
ap-1404	148	20	chiral	chiral	ADJ
ap-1404	148	21	symmetry	symmetry	NOUN
ap-1404	148	22	breaking	break	VERB
ap-1404	148	23	in	in	ADP
ap-1404	148	24	quantum	quantum	NOUN
ap-1404	148	25	—	—	PUNCT
ap-1404	148	26	gravity	gravity	NOUN
ap-1404	148	27	,	,	PUNCT
ap-1404	148	28	modern	modern	ADJ
ap-1404	148	29	phys	phy	NOUN
ap-1404	148	30	.	.	PUNCT
ap-1404	149	1	lett	lett	PROPN
ap-1404	149	2	.	.	PUNCT
ap-1404	150	1	a.	a.	PROPN
ap-1404	150	2	12	12	NUM
ap-1404	150	3	(	(	PUNCT
ap-1404	150	4	1997	1997	NUM
ap-1404	150	5	)	)	PUNCT
ap-1404	150	6	,	,	PUNCT
ap-1404	150	7	no	no	DET
ap-1404	150	8	34	34	NUM
ap-1404	150	9	,	,	PUNCT
ap-1404	150	10	2	2	NUM
ap-1404	150	11	599–2	599–2	NUM
ap-1404	150	12	612	612	NUM
ap-1404	150	13	.	.	PUNCT
ap-1404	151	1	[	[	X
ap-1404	151	2	15	15	NUM
ap-1404	151	3	]	]	X
ap-1404	151	4	shil’nov	shil’nov	PROPN
ap-1404	151	5	,	,	PUNCT
ap-1404	151	6	yu	yu	PROPN
ap-1404	151	7	.	.	PROPN
ap-1404	151	8	i.	i.	PROPN
ap-1404	151	9	,	,	PUNCT
ap-1404	151	10	chitov	chitov	PROPN
ap-1404	151	11	,	,	PUNCT
ap-1404	151	12	v.	v.	PROPN
ap-1404	151	13	v.	v.	ADP
ap-1404	151	14	,	,	PUNCT
ap-1404	151	15	kotwicki	kotwicki	PROPN
ap-1404	151	16	,	,	PUNCT
ap-1404	151	17	a.	a.	NOUN
ap-1404	151	18	t.	t.	PROPN
ap-1404	151	19	:	:	PUNCT
ap-1404	151	20	dynamical	dynamical	ADJ
ap-1404	151	21	symmetry	symmetry	NOUN
ap-1404	151	22	breaking	break	VERB
ap-1404	151	23	in	in	ADP
ap-1404	151	24	quadratic	quadratic	ADJ
ap-1404	151	25	quantum	quantum	NOUN
ap-1404	151	26	gravity	gravity	NOUN
ap-1404	151	27	,	,	PUNCT
ap-1404	151	28	nuclei	nuclei	PROPN
ap-1404	151	29	physics	physics	NOUN
ap-1404	151	30	60	60	NUM
ap-1404	151	31	(	(	PUNCT
ap-1404	151	32	1997	1997	NUM
ap-1404	151	33	)	)	PUNCT
ap-1404	151	34	,	,	PUNCT
ap-1404	151	35	no	no	DET
ap-1404	151	36	8	8	NUM
ap-1404	151	37	,	,	PUNCT
ap-1404	151	38	1	1	NUM
ap-1404	151	39	510–1	510–1	NUM
ap-1404	151	40	517	517	NUM
ap-1404	151	41	.	.	PUNCT
ap-1404	152	1	[	[	X
ap-1404	152	2	16	16	NUM
ap-1404	152	3	]	]	SYM
ap-1404	152	4	rubakov	rubakov	NOUN
ap-1404	152	5	,	,	PUNCT
ap-1404	152	6	v.	v.	ADP
ap-1404	152	7	a.	a.	NOUN
ap-1404	152	8	,	,	PUNCT
ap-1404	152	9	tinyakov	tinyakov	PROPN
ap-1404	152	10	,	,	PUNCT
ap-1404	152	11	p.	p.	PROPN
ap-1404	152	12	g.	g.	PROPN
ap-1404	152	13	:	:	PUNCT
ap-1404	152	14	infraredmodified	infraredmodifie	VERB
ap-1404	152	15	gravities	gravity	NOUN
ap-1404	152	16	and	and	CCONJ
ap-1404	152	17	massive	massive	ADJ
ap-1404	152	18	gravitons	graviton	NOUN
ap-1404	152	19	,	,	PUNCT
ap-1404	152	20	usp	usp	PROPN
ap-1404	152	21	.	.	PUNCT
ap-1404	153	1	fiz	fiz	PROPN
ap-1404	153	2	.	.	PUNCT
ap-1404	154	1	nauk	nauk	PROPN
ap-1404	154	2	51	51	NUM
ap-1404	154	3	(	(	PUNCT
ap-1404	154	4	2008	2008	NUM
ap-1404	154	5	)	)	PUNCT
ap-1404	154	6	,	,	PUNCT
ap-1404	154	7	759–792	759–792	NUM
ap-1404	154	8	.	.	PUNCT
ap-1404	154	9	a.	a.	NOUN
ap-1404	154	10	t.	t.	PROPN
ap-1404	154	11	kotvytskiy	kotvytskiy	PROPN
ap-1404	154	12	d.	d.	PROPN
ap-1404	154	13	v.	v.	CCONJ
ap-1404	154	14	kruchkov	kruchkov	PROPN
ap-1404	155	1	e	e	NOUN
ap-1404	155	2	-	-	NOUN
ap-1404	155	3	mail	mail	NOUN
ap-1404	155	4	:	:	PUNCT
ap-1404	155	5	kotw@mail.ru	kotw@mail.ru	PROPN
ap-1404	155	6	department	department	NOUN
ap-1404	155	7	of	of	ADP
ap-1404	155	8	theoretical	theoretical	ADJ
ap-1404	155	9	physics	physics	PROPN
ap-1404	155	10	v.	v.	ADP
ap-1404	155	11	n.	n.	PROPN
ap-1404	155	12	karzin	karzin	PROPN
ap-1404	155	13	kharkov	kharkov	PROPN
ap-1404	155	14	national	national	PROPN
ap-1404	155	15	university	university	PROPN
ap-1404	155	16	svobody	svobody	NOUN
ap-1404	155	17	sq	sq	PROPN
ap-1404	155	18	.	.	PROPN
ap-1404	155	19	4	4	NUM
ap-1404	155	20	,	,	PUNCT
ap-1404	155	21	61077	61077	NUM
ap-1404	155	22	kharkov	kharkov	PROPN
ap-1404	155	23	,	,	PUNCT
ap-1404	155	24	ukraine	ukraine	NOUN
ap-1404	155	25	58	58	NUM