id	sid	tid	token	lemma	pos
ap-7623	1	1	acta	acta	PROPN
ap-7623	1	2	polytechnica	polytechnica	PROPN
ap-7623	1	3	https://doi.org/10.14311/ap.2022.62.0085	https://doi.org/10.14311/ap.2022.62.0085	PROPN
ap-7623	1	4	acta	acta	PROPN
ap-7623	1	5	polytechnica	polytechnica	PROPN
ap-7623	1	6	62(1):85–89	62(1):85–89	NOUN
ap-7623	1	7	,	,	PUNCT
ap-7623	1	8	2022	2022	NUM
ap-7623	1	9	©	©	ADP
ap-7623	1	10	2022	2022	NUM
ap-7623	1	11	the	the	DET
ap-7623	1	12	author(s	author(s	NOUN
ap-7623	1	13	)	)	PUNCT
ap-7623	1	14	.	.	PUNCT
ap-7623	2	1	licensed	license	VERB
ap-7623	2	2	under	under	ADP
ap-7623	2	3	a	a	DET
ap-7623	2	4	cc	cc	NOUN
ap-7623	2	5	-	-	PUNCT
ap-7623	2	6	by	by	ADP
ap-7623	2	7	4.0	4.0	NUM
ap-7623	2	8	licence	licence	NOUN
ap-7623	2	9	published	publish	VERB
ap-7623	2	10	by	by	ADP
ap-7623	2	11	the	the	DET
ap-7623	2	12	czech	czech	PROPN
ap-7623	2	13	technical	technical	PROPN
ap-7623	2	14	university	university	PROPN
ap-7623	2	15	in	in	ADP
ap-7623	2	16	prague	prague	PROPN
ap-7623	2	17	maxwell	maxwell	PROPN
ap-7623	2	18	-	-	PUNCT
ap-7623	2	19	chern	chern	PROPN
ap-7623	2	20	-	-	PUNCT
ap-7623	2	21	simons	simon	NOUN
ap-7623	2	22	-	-	PUNCT
ap-7623	2	23	higgs	higgs	PROPN
ap-7623	2	24	theory	theory	NOUN
ap-7623	2	25	usha	usha	PROPN
ap-7623	2	26	kulshreshthaa,∗	kulshreshthaa,∗	PROPN
ap-7623	2	27	,	,	PUNCT
ap-7623	2	28	daya	daya	PROPN
ap-7623	2	29	shankar	shankar	PROPN
ap-7623	2	30	kulshreshthab	kulshreshthab	PROPN
ap-7623	2	31	,	,	PUNCT
ap-7623	2	32	bheemraj	bheemraj	VERB
ap-7623	2	33	sihagb	sihagb	PROPN
ap-7623	2	34	a	a	DET
ap-7623	2	35	university	university	NOUN
ap-7623	2	36	of	of	ADP
ap-7623	2	37	delhi	delhi	PROPN
ap-7623	2	38	,	,	PUNCT
ap-7623	2	39	kirori	kirori	PROPN
ap-7623	2	40	mal	mal	PROPN
ap-7623	2	41	college	college	PROPN
ap-7623	2	42	,	,	PUNCT
ap-7623	2	43	department	department	NOUN
ap-7623	2	44	of	of	ADP
ap-7623	2	45	physics	physics	PROPN
ap-7623	2	46	,	,	PUNCT
ap-7623	2	47	delhi-110007	delhi-110007	VERB
ap-7623	2	48	,	,	PUNCT
ap-7623	2	49	india	india	PROPN
ap-7623	2	50	b	b	PROPN
ap-7623	2	51	university	university	PROPN
ap-7623	2	52	of	of	ADP
ap-7623	2	53	delhi	delhi	PROPN
ap-7623	2	54	,	,	PUNCT
ap-7623	2	55	department	department	PROPN
ap-7623	2	56	of	of	ADP
ap-7623	2	57	physics	physics	PROPN
ap-7623	2	58	and	and	CCONJ
ap-7623	2	59	astrophysics	astrophysic	NOUN
ap-7623	2	60	,	,	PUNCT
ap-7623	2	61	delhi-110007	delhi-110007	VERB
ap-7623	2	62	,	,	PUNCT
ap-7623	2	63	india	india	PROPN
ap-7623	2	64	∗	∗	NOUN
ap-7623	2	65	corresponding	correspond	VERB
ap-7623	2	66	author	author	NOUN
ap-7623	2	67	:	:	PUNCT
ap-7623	2	68	ushakulsh@gmail.com	ushakulsh@gmail.com	X
ap-7623	2	69	abstract	abstract	ADJ
ap-7623	2	70	.	.	PUNCT
ap-7623	3	1	we	we	PRON
ap-7623	3	2	consider	consider	VERB
ap-7623	3	3	the	the	DET
ap-7623	3	4	three	three	NUM
ap-7623	3	5	dimensional	dimensional	ADJ
ap-7623	3	6	electrodynamics	electrodynamic	NOUN
ap-7623	3	7	described	describe	VERB
ap-7623	3	8	by	by	ADP
ap-7623	3	9	a	a	DET
ap-7623	3	10	complex	complex	ADJ
ap-7623	3	11	scalar	scalar	ADJ
ap-7623	3	12	field	field	NOUN
ap-7623	3	13	coupled	couple	VERB
ap-7623	3	14	with	with	ADP
ap-7623	3	15	the	the	DET
ap-7623	3	16	u(1	u(1	PROPN
ap-7623	3	17	)	)	PUNCT
ap-7623	3	18	gauge	gauge	NOUN
ap-7623	3	19	field	field	NOUN
ap-7623	3	20	in	in	ADP
ap-7623	3	21	the	the	DET
ap-7623	3	22	presence	presence	NOUN
ap-7623	3	23	of	of	ADP
ap-7623	3	24	a	a	DET
ap-7623	3	25	maxwell	maxwell	PROPN
ap-7623	3	26	term	term	NOUN
ap-7623	3	27	,	,	PUNCT
ap-7623	3	28	a	a	DET
ap-7623	3	29	chern	chern	ADJ
ap-7623	3	30	-	-	PUNCT
ap-7623	3	31	simons	simon	NOUN
ap-7623	3	32	term	term	NOUN
ap-7623	3	33	and	and	CCONJ
ap-7623	3	34	the	the	DET
ap-7623	3	35	higgs	higgs	NOUN
ap-7623	3	36	potential	potential	NOUN
ap-7623	3	37	.	.	PUNCT
ap-7623	4	1	the	the	DET
ap-7623	4	2	chern	chern	PROPN
ap-7623	4	3	-	-	PUNCT
ap-7623	4	4	simons	simon	NOUN
ap-7623	4	5	term	term	NOUN
ap-7623	4	6	provides	provide	VERB
ap-7623	4	7	a	a	DET
ap-7623	4	8	velocity	velocity	NOUN
ap-7623	4	9	dependent	dependent	ADJ
ap-7623	4	10	gauge	gauge	NOUN
ap-7623	4	11	potential	potential	NOUN
ap-7623	4	12	and	and	CCONJ
ap-7623	4	13	the	the	DET
ap-7623	4	14	presence	presence	NOUN
ap-7623	4	15	of	of	ADP
ap-7623	4	16	the	the	DET
ap-7623	4	17	maxwell	maxwell	PROPN
ap-7623	4	18	term	term	NOUN
ap-7623	4	19	makes	make	VERB
ap-7623	4	20	the	the	DET
ap-7623	4	21	u(1	u(1	PROPN
ap-7623	4	22	)	)	PUNCT
ap-7623	4	23	gauge	gauge	NOUN
ap-7623	4	24	field	field	NOUN
ap-7623	4	25	dynamical	dynamical	ADJ
ap-7623	4	26	.	.	PUNCT
ap-7623	5	1	we	we	PRON
ap-7623	5	2	study	study	VERB
ap-7623	5	3	the	the	DET
ap-7623	5	4	hamiltonian	hamiltonian	ADJ
ap-7623	5	5	formulation	formulation	NOUN
ap-7623	5	6	of	of	ADP
ap-7623	5	7	this	this	DET
ap-7623	5	8	maxwell	maxwell	NOUN
ap-7623	5	9	-	-	PUNCT
ap-7623	5	10	chern	chern	PROPN
ap-7623	5	11	-	-	PUNCT
ap-7623	5	12	simons	simon	NOUN
ap-7623	5	13	-	-	PUNCT
ap-7623	5	14	higgs	higgs	PROPN
ap-7623	5	15	theory	theory	NOUN
ap-7623	5	16	under	under	ADP
ap-7623	5	17	the	the	DET
ap-7623	5	18	appropriate	appropriate	ADJ
ap-7623	5	19	gauge	gauge	NOUN
ap-7623	5	20	fixing	fix	VERB
ap-7623	5	21	conditions	condition	NOUN
ap-7623	5	22	.	.	PUNCT
ap-7623	6	1	keywords	keyword	NOUN
ap-7623	6	2	:	:	PUNCT
ap-7623	6	3	electrodynamics	electrodynamic	NOUN
ap-7623	6	4	,	,	PUNCT
ap-7623	6	5	higgs	higgs	PROPN
ap-7623	6	6	theories	theory	NOUN
ap-7623	6	7	,	,	PUNCT
ap-7623	6	8	chern	chern	PROPN
ap-7623	6	9	-	-	PUNCT
ap-7623	6	10	simons	simon	NOUN
ap-7623	6	11	-	-	PUNCT
ap-7623	6	12	higgs	higgs	NOUN
ap-7623	6	13	theories	theory	NOUN
ap-7623	6	14	,	,	PUNCT
ap-7623	6	15	hamiltonian	hamiltonian	ADJ
ap-7623	6	16	formulations	formulation	NOUN
ap-7623	6	17	,	,	PUNCT
ap-7623	6	18	gauge	gauge	NOUN
ap-7623	6	19	-	-	PUNCT
ap-7623	6	20	theories	theory	NOUN
ap-7623	6	21	.	.	PUNCT
ap-7623	7	1	1	1	X
ap-7623	7	2	.	.	X
ap-7623	7	3	introduction	introduction	NOUN
ap-7623	7	4	we	we	PRON
ap-7623	7	5	study	study	VERB
ap-7623	7	6	the	the	DET
ap-7623	7	7	hamiltonian	hamiltonian	ADJ
ap-7623	7	8	formulation	formulation	NOUN
ap-7623	8	1	[	[	X
ap-7623	8	2	1	1	NUM
ap-7623	8	3	]	]	PUNCT
ap-7623	8	4	of	of	ADP
ap-7623	8	5	the	the	DET
ap-7623	8	6	three	three	NUM
ap-7623	8	7	dimensional	dimensional	ADJ
ap-7623	8	8	(	(	PUNCT
ap-7623	8	9	3d	3d	NOUN
ap-7623	8	10	)	)	PUNCT
ap-7623	8	11	electrodynamics	electrodynamic	NOUN
ap-7623	9	1	[	[	X
ap-7623	9	2	2–22	2–22	NOUN
ap-7623	9	3	]	]	PUNCT
ap-7623	9	4	,	,	PUNCT
ap-7623	9	5	involving	involve	VERB
ap-7623	9	6	a	a	DET
ap-7623	9	7	maxwell	maxwell	PROPN
ap-7623	9	8	term	term	NOUN
ap-7623	10	1	[	[	X
ap-7623	10	2	20	20	NUM
ap-7623	10	3	]	]	PUNCT
ap-7623	10	4	,	,	PUNCT
ap-7623	10	5	a	a	DET
ap-7623	10	6	chern	chern	PROPN
ap-7623	10	7	-	-	PUNCT
ap-7623	10	8	simons	simon	NOUN
ap-7623	10	9	(	(	PUNCT
ap-7623	10	10	cs	cs	ADJ
ap-7623	10	11	)	)	PUNCT
ap-7623	10	12	term	term	NOUN
ap-7623	10	13	[	[	X
ap-7623	10	14	19	19	NUM
ap-7623	10	15	,	,	PUNCT
ap-7623	10	16	21	21	NUM
ap-7623	10	17	,	,	PUNCT
ap-7623	10	18	22	22	NUM
ap-7623	10	19	]	]	PUNCT
ap-7623	10	20	,	,	PUNCT
ap-7623	10	21	and	and	CCONJ
ap-7623	10	22	a	a	DET
ap-7623	10	23	term	term	NOUN
ap-7623	10	24	that	that	PRON
ap-7623	10	25	describes	describe	VERB
ap-7623	10	26	a	a	DET
ap-7623	10	27	coupling	coupling	NOUN
ap-7623	10	28	of	of	ADP
ap-7623	10	29	the	the	DET
ap-7623	10	30	u(1	u(1	PROPN
ap-7623	10	31	)	)	PUNCT
ap-7623	10	32	gauge	gauge	NOUN
ap-7623	10	33	field	field	NOUN
ap-7623	10	34	with	with	ADP
ap-7623	10	35	a	a	DET
ap-7623	10	36	complex	complex	ADJ
ap-7623	10	37	scalar	scalar	ADJ
ap-7623	10	38	field	field	NOUN
ap-7623	10	39	in	in	ADP
ap-7623	10	40	the	the	DET
ap-7623	10	41	presence	presence	NOUN
ap-7623	10	42	of	of	ADP
ap-7623	10	43	a	a	DET
ap-7623	10	44	higgs	higgs	NOUN
ap-7623	10	45	potential	potential	NOUN
ap-7623	11	1	[	[	X
ap-7623	11	2	22	22	NUM
ap-7623	11	3	]	]	PUNCT
ap-7623	11	4	.	.	PUNCT
ap-7623	12	1	such	such	ADJ
ap-7623	12	2	theories	theory	NOUN
ap-7623	12	3	in	in	ADP
ap-7623	12	4	two	two	NUM
ap-7623	12	5	-	-	PUNCT
ap-7623	12	6	space	space	NOUN
ap-7623	12	7	one	one	NUM
ap-7623	12	8	-	-	PUNCT
ap-7623	12	9	time	time	NOUN
ap-7623	12	10	dimension	dimension	NOUN
ap-7623	12	11	(	(	PUNCT
ap-7623	12	12	(	(	PUNCT
ap-7623	12	13	2	2	NUM
ap-7623	12	14	+	+	NUM
ap-7623	12	15	1)d	1)d	NUM
ap-7623	12	16	)	)	PUNCT
ap-7623	12	17	can	can	AUX
ap-7623	12	18	describe	describe	VERB
ap-7623	12	19	particles	particle	NOUN
ap-7623	12	20	that	that	PRON
ap-7623	12	21	satisfy	satisfy	VERB
ap-7623	12	22	fractional	fractional	ADJ
ap-7623	12	23	statistics	statistic	NOUN
ap-7623	12	24	and	and	CCONJ
ap-7623	12	25	are	be	AUX
ap-7623	12	26	referred	refer	VERB
ap-7623	12	27	to	to	ADP
ap-7623	12	28	as	as	ADP
ap-7623	12	29	the	the	DET
ap-7623	12	30	reletivistic	reletivistic	ADJ
ap-7623	12	31	field	field	NOUN
ap-7623	12	32	theoretic	theoretic	NOUN
ap-7623	12	33	models	model	NOUN
ap-7623	12	34	of	of	ADP
ap-7623	12	35	anyons	anyon	NOUN
ap-7623	12	36	and	and	CCONJ
ap-7623	12	37	of	of	ADP
ap-7623	12	38	the	the	DET
ap-7623	12	39	anyonic	anyonic	ADJ
ap-7623	12	40	superconductivity	superconductivity	NOUN
ap-7623	12	41	[	[	X
ap-7623	12	42	21	21	NUM
ap-7623	12	43	,	,	PUNCT
ap-7623	12	44	22	22	NUM
ap-7623	12	45	]	]	PUNCT
ap-7623	12	46	.	.	PUNCT
ap-7623	13	1	a	a	DET
ap-7623	13	2	remarkable	remarkable	ADJ
ap-7623	13	3	property	property	NOUN
ap-7623	13	4	of	of	ADP
ap-7623	13	5	the	the	DET
ap-7623	13	6	cs	cs	PROPN
ap-7623	13	7	action	action	NOUN
ap-7623	13	8	[	[	X
ap-7623	13	9	21	21	NUM
ap-7623	13	10	,	,	PUNCT
ap-7623	13	11	22	22	NUM
ap-7623	13	12	]	]	PUNCT
ap-7623	13	13	,	,	PUNCT
ap-7623	13	14	is	be	AUX
ap-7623	13	15	that	that	SCONJ
ap-7623	13	16	it	it	PRON
ap-7623	13	17	depends	depend	VERB
ap-7623	13	18	only	only	ADV
ap-7623	13	19	on	on	ADP
ap-7623	13	20	the	the	DET
ap-7623	13	21	antisymmetric	antisymmetric	PROPN
ap-7623	13	22	tensor	tensor	NOUN
ap-7623	13	23	ϵµνλ	ϵµνλ	NOUN
ap-7623	13	24	and	and	CCONJ
ap-7623	13	25	not	not	PART
ap-7623	13	26	on	on	ADP
ap-7623	13	27	the	the	DET
ap-7623	13	28	metric	metric	ADJ
ap-7623	13	29	tensor	tensor	NOUN
ap-7623	13	30	gµν	gµν	NOUN
ap-7623	13	31	.	.	PUNCT
ap-7623	14	1	as	as	ADP
ap-7623	14	2	a	a	DET
ap-7623	14	3	result	result	NOUN
ap-7623	14	4	,	,	PUNCT
ap-7623	14	5	the	the	DET
ap-7623	14	6	cs	cs	ADJ
ap-7623	14	7	action	action	NOUN
ap-7623	14	8	in	in	ADP
ap-7623	14	9	the	the	DET
ap-7623	14	10	flat	flat	ADJ
ap-7623	14	11	spacetime	spacetime	NOUN
ap-7623	14	12	and	and	CCONJ
ap-7623	14	13	in	in	ADP
ap-7623	14	14	the	the	DET
ap-7623	14	15	curved	curved	ADJ
ap-7623	14	16	spacetime	spacetime	NOUN
ap-7623	14	17	remains	remain	VERB
ap-7623	14	18	the	the	DET
ap-7623	14	19	same	same	ADJ
ap-7623	14	20	[	[	X
ap-7623	14	21	21	21	NUM
ap-7623	14	22	,	,	PUNCT
ap-7623	14	23	22	22	NUM
ap-7623	14	24	]	]	PUNCT
ap-7623	14	25	.	.	PUNCT
ap-7623	15	1	hence	hence	ADV
ap-7623	15	2	cs	cs	PROPN
ap-7623	15	3	action	action	NOUN
ap-7623	15	4	,	,	PUNCT
ap-7623	15	5	in	in	ADP
ap-7623	15	6	both	both	CCONJ
ap-7623	15	7	the	the	DET
ap-7623	15	8	abelian	abelian	NOUN
ap-7623	15	9	and	and	CCONJ
ap-7623	15	10	in	in	ADP
ap-7623	15	11	the	the	DET
ap-7623	15	12	non	non	ADJ
ap-7623	15	13	-	-	ADJ
ap-7623	15	14	abelian	abelian	ADJ
ap-7623	15	15	cases	case	NOUN
ap-7623	15	16	represents	represent	VERB
ap-7623	15	17	an	an	DET
ap-7623	15	18	example	example	NOUN
ap-7623	15	19	of	of	ADP
ap-7623	15	20	a	a	DET
ap-7623	15	21	topological	topological	ADJ
ap-7623	15	22	field	field	NOUN
ap-7623	15	23	theory	theory	NOUN
ap-7623	15	24	[	[	X
ap-7623	15	25	21	21	NUM
ap-7623	15	26	,	,	PUNCT
ap-7623	15	27	22	22	NUM
ap-7623	15	28	]	]	PUNCT
ap-7623	15	29	.	.	PUNCT
ap-7623	16	1	the	the	DET
ap-7623	16	2	systems	system	NOUN
ap-7623	16	3	in	in	ADP
ap-7623	16	4	two	two	NUM
ap-7623	16	5	-	-	PUNCT
ap-7623	16	6	space	space	NOUN
ap-7623	16	7	,	,	PUNCT
ap-7623	16	8	one	one	NUM
ap-7623	16	9	-	-	PUNCT
ap-7623	16	10	time	time	NOUN
ap-7623	16	11	dimensions	dimension	NOUN
ap-7623	16	12	(	(	PUNCT
ap-7623	16	13	2	2	NUM
ap-7623	16	14	+	+	NUM
ap-7623	16	15	1)d	1)d	NUM
ap-7623	16	16	(	(	PUNCT
ap-7623	16	17	i.e.	i.e.	X
ap-7623	16	18	,	,	PUNCT
ap-7623	16	19	the	the	DET
ap-7623	16	20	planar	planar	ADJ
ap-7623	16	21	systems	system	NOUN
ap-7623	16	22	,	,	PUNCT
ap-7623	16	23	display	display	VERB
ap-7623	16	24	a	a	DET
ap-7623	16	25	variety	variety	NOUN
ap-7623	16	26	of	of	ADP
ap-7623	16	27	peculiar	peculiar	ADJ
ap-7623	16	28	quantum	quantum	ADJ
ap-7623	16	29	mechanical	mechanical	ADJ
ap-7623	16	30	phenomena	phenomena	NOUN
ap-7623	16	31	ranging	range	VERB
ap-7623	16	32	from	from	ADP
ap-7623	16	33	the	the	DET
ap-7623	16	34	massive	massive	ADJ
ap-7623	16	35	gauge	gauge	NOUN
ap-7623	16	36	fields	field	NOUN
ap-7623	16	37	to	to	ADP
ap-7623	16	38	soluble	soluble	ADJ
ap-7623	16	39	gravity	gravity	NOUN
ap-7623	16	40	[	[	X
ap-7623	16	41	19	19	NUM
ap-7623	16	42	–	–	PUNCT
ap-7623	16	43	22	22	NUM
ap-7623	16	44	]	]	PUNCT
ap-7623	16	45	.	.	PUNCT
ap-7623	17	1	these	these	PRON
ap-7623	17	2	are	be	AUX
ap-7623	17	3	linked	link	VERB
ap-7623	17	4	to	to	ADP
ap-7623	17	5	the	the	DET
ap-7623	17	6	peculiar	peculiar	ADJ
ap-7623	17	7	structure	structure	NOUN
ap-7623	17	8	of	of	ADP
ap-7623	17	9	the	the	DET
ap-7623	17	10	rotation	rotation	NOUN
ap-7623	17	11	group	group	NOUN
ap-7623	17	12	and	and	CCONJ
ap-7623	17	13	the	the	DET
ap-7623	17	14	lorentz	lorentz	PROPN
ap-7623	17	15	and	and	CCONJ
ap-7623	17	16	poincare	poincare	PROPN
ap-7623	17	17	groups	group	NOUN
ap-7623	17	18	in	in	ADP
ap-7623	17	19	(	(	PUNCT
ap-7623	17	20	2	2	NUM
ap-7623	17	21	+	+	NOUN
ap-7623	17	22	1)d	1)d	NUM
ap-7623	17	23	.	.	PUNCT
ap-7623	18	1	the	the	DET
ap-7623	18	2	3d	3d	PROPN
ap-7623	18	3	electrodynamics	electrodynamics	NOUN
ap-7623	18	4	models	model	NOUN
ap-7623	18	5	with	with	ADP
ap-7623	18	6	a	a	DET
ap-7623	18	7	higgs	higgs	NOUN
ap-7623	18	8	potential	potential	NOUN
ap-7623	18	9	,	,	PUNCT
ap-7623	18	10	namely	namely	ADV
ap-7623	18	11	,	,	PUNCT
ap-7623	18	12	the	the	DET
ap-7623	18	13	abelian	abelian	PROPN
ap-7623	18	14	higgs	higgs	PROPN
ap-7623	18	15	models	model	NOUN
ap-7623	18	16	involving	involve	VERB
ap-7623	18	17	the	the	DET
ap-7623	18	18	vector	vector	NOUN
ap-7623	18	19	guage	guage	NOUN
ap-7623	18	20	field	field	NOUN
ap-7623	18	21	aµ	aµ	NOUN
ap-7623	18	22	with	with	ADP
ap-7623	18	23	and	and	CCONJ
ap-7623	18	24	without	without	ADP
ap-7623	18	25	the	the	DET
ap-7623	18	26	topological	topological	ADJ
ap-7623	18	27	cs	cs	ADJ
ap-7623	18	28	term	term	NOUN
ap-7623	18	29	in	in	ADP
ap-7623	18	30	(	(	PUNCT
ap-7623	18	31	2	2	NUM
ap-7623	18	32	+	+	NOUN
ap-7623	18	33	1)d	1)d	NOUN
ap-7623	18	34	have	have	AUX
ap-7623	18	35	been	be	AUX
ap-7623	18	36	of	of	ADP
ap-7623	18	37	a	a	DET
ap-7623	18	38	wide	wide	ADJ
ap-7623	18	39	interest	interest	NOUN
ap-7623	18	40	[	[	X
ap-7623	18	41	19–22	19–22	NUM
ap-7623	18	42	]	]	X
ap-7623	18	43	.	.	PUNCT
ap-7623	19	1	when	when	SCONJ
ap-7623	19	2	these	these	DET
ap-7623	19	3	models	model	NOUN
ap-7623	19	4	are	be	AUX
ap-7623	19	5	considered	consider	VERB
ap-7623	19	6	without	without	ADP
ap-7623	19	7	a	a	DET
ap-7623	19	8	cs	cs	ADJ
ap-7623	19	9	term	term	NOUN
ap-7623	19	10	but	but	CCONJ
ap-7623	19	11	only	only	ADV
ap-7623	19	12	with	with	ADP
ap-7623	19	13	a	a	DET
ap-7623	19	14	maxwell	maxwell	PROPN
ap-7623	19	15	term	term	NOUN
ap-7623	19	16	accounting	account	VERB
ap-7623	19	17	for	for	ADP
ap-7623	19	18	the	the	DET
ap-7623	19	19	kinetic	kinetic	ADJ
ap-7623	19	20	energy	energy	NOUN
ap-7623	19	21	of	of	ADP
ap-7623	19	22	the	the	DET
ap-7623	19	23	vector	vector	NOUN
ap-7623	19	24	gauge	gauge	NOUN
ap-7623	19	25	field	field	NOUN
ap-7623	19	26	and	and	CCONJ
ap-7623	19	27	they	they	PRON
ap-7623	19	28	represent	represent	VERB
ap-7623	19	29	field	field	NOUN
ap-7623	19	30	-	-	PUNCT
ap-7623	19	31	theoretical	theoretical	ADJ
ap-7623	19	32	models	model	NOUN
ap-7623	19	33	which	which	PRON
ap-7623	19	34	could	could	AUX
ap-7623	19	35	be	be	AUX
ap-7623	19	36	considered	consider	VERB
ap-7623	19	37	as	as	ADP
ap-7623	19	38	effective	effective	ADJ
ap-7623	19	39	theories	theory	NOUN
ap-7623	19	40	of	of	ADP
ap-7623	19	41	the	the	DET
ap-7623	19	42	ginsburg	ginsburg	NOUN
ap-7623	19	43	-	-	PUNCT
ap-7623	19	44	landau	landau	NOUN
ap-7623	19	45	-	-	PUNCT
ap-7623	19	46	type	type	NOUN
ap-7623	19	47	[	[	X
ap-7623	19	48	22	22	NUM
ap-7623	19	49	]	]	PUNCT
ap-7623	19	50	for	for	ADP
ap-7623	19	51	superconductivity	superconductivity	NOUN
ap-7623	19	52	.	.	PUNCT
ap-7623	20	1	these	these	DET
ap-7623	20	2	models	model	NOUN
ap-7623	20	3	in	in	ADP
ap-7623	20	4	(	(	PUNCT
ap-7623	20	5	2	2	NUM
ap-7623	20	6	+	+	NOUN
ap-7623	20	7	1)d	1)d	NUM
ap-7623	20	8	or	or	CCONJ
ap-7623	20	9	in	in	ADP
ap-7623	20	10	(	(	PUNCT
ap-7623	20	11	3	3	NUM
ap-7623	20	12	+	+	NOUN
ap-7623	20	13	1)d	1)d	NUM
ap-7623	20	14	are	be	AUX
ap-7623	20	15	known	know	VERB
ap-7623	20	16	as	as	ADP
ap-7623	20	17	the	the	DET
ap-7623	20	18	nielsen	nielsen	PROPN
ap-7623	20	19	-	-	PUNCT
ap-7623	20	20	olesen	olesen	PROPN
ap-7623	20	21	(	(	PUNCT
ap-7623	20	22	vortex	vortex	NOUN
ap-7623	20	23	)	)	PUNCT
ap-7623	20	24	models	model	NOUN
ap-7623	20	25	(	(	PUNCT
ap-7623	20	26	nom	nom	NOUN
ap-7623	20	27	)	)	PUNCT
ap-7623	21	1	[	[	X
ap-7623	21	2	20	20	NUM
ap-7623	21	3	]	]	PUNCT
ap-7623	21	4	.	.	PUNCT
ap-7623	22	1	these	these	DET
ap-7623	22	2	models	model	NOUN
ap-7623	22	3	are	be	AUX
ap-7623	22	4	the	the	DET
ap-7623	22	5	relativistic	relativistic	ADJ
ap-7623	22	6	generalizations	generalization	NOUN
ap-7623	22	7	of	of	ADP
ap-7623	22	8	the	the	DET
ap-7623	22	9	well	well	ADV
ap-7623	22	10	-	-	PUNCT
ap-7623	22	11	known	know	VERB
ap-7623	22	12	ginsburg	ginsburg	NOUN
ap-7623	22	13	-	-	PUNCT
ap-7623	22	14	landau	landau	NOUN
ap-7623	22	15	phenomenological	phenomenological	ADJ
ap-7623	22	16	field	field	NOUN
ap-7623	22	17	theory	theory	NOUN
ap-7623	22	18	models	model	NOUN
ap-7623	22	19	of	of	ADP
ap-7623	22	20	superconductivity	superconductivity	NOUN
ap-7623	22	21	[	[	X
ap-7623	22	22	2	2	NUM
ap-7623	22	23	,	,	PUNCT
ap-7623	22	24	20	20	NUM
ap-7623	22	25	,	,	PUNCT
ap-7623	22	26	22	22	NUM
ap-7623	22	27	]	]	PUNCT
ap-7623	22	28	.	.	PUNCT
ap-7623	23	1	the	the	DET
ap-7623	23	2	effective	effective	ADJ
ap-7623	23	3	theories	theory	NOUN
ap-7623	23	4	with	with	ADP
ap-7623	23	5	excitations	excitation	NOUN
ap-7623	23	6	,	,	PUNCT
ap-7623	23	7	with	with	ADP
ap-7623	23	8	fractional	fractional	ADJ
ap-7623	23	9	statistics	statistic	NOUN
ap-7623	23	10	are	be	AUX
ap-7623	23	11	supposed	suppose	VERB
ap-7623	23	12	to	to	PART
ap-7623	23	13	be	be	AUX
ap-7623	23	14	described	describe	VERB
ap-7623	23	15	by	by	ADP
ap-7623	23	16	gauge	gauge	NOUN
ap-7623	23	17	theories	theory	NOUN
ap-7623	23	18	with	with	ADP
ap-7623	23	19	cs	cs	ADJ
ap-7623	23	20	terms	term	NOUN
ap-7623	23	21	in	in	ADP
ap-7623	23	22	(	(	PUNCT
ap-7623	23	23	2	2	NUM
ap-7623	23	24	+	+	NUM
ap-7623	23	25	1)d	1)d	NUM
ap-7623	23	26	and	and	CCONJ
ap-7623	23	27	a	a	DET
ap-7623	23	28	study	study	NOUN
ap-7623	23	29	of	of	ADP
ap-7623	23	30	these	these	DET
ap-7623	23	31	gauge	gauge	ADJ
ap-7623	23	32	field	field	NOUN
ap-7623	23	33	theories	theory	NOUN
ap-7623	23	34	and	and	CCONJ
ap-7623	23	35	the	the	DET
ap-7623	23	36	models	model	NOUN
ap-7623	23	37	of	of	ADP
ap-7623	23	38	quantum	quantum	ADJ
ap-7623	23	39	electrodynamics	electrodynamic	NOUN
ap-7623	23	40	involving	involve	VERB
ap-7623	23	41	the	the	DET
ap-7623	23	42	cs	cs	ADJ
ap-7623	23	43	term	term	NOUN
ap-7623	23	44	represent	represent	VERB
ap-7623	23	45	a	a	DET
ap-7623	23	46	broad	broad	ADJ
ap-7623	23	47	important	important	ADJ
ap-7623	23	48	area	area	NOUN
ap-7623	23	49	of	of	ADP
ap-7623	23	50	investigation	investigation	NOUN
ap-7623	23	51	[	[	X
ap-7623	23	52	21	21	NUM
ap-7623	23	53	,	,	PUNCT
ap-7623	23	54	22	22	NUM
ap-7623	23	55	]	]	PUNCT
ap-7623	23	56	.	.	PUNCT
ap-7623	24	1	the	the	DET
ap-7623	24	2	cs	cs	PROPN
ap-7623	24	3	term	term	NOUN
ap-7623	24	4	provides	provide	VERB
ap-7623	24	5	a	a	DET
ap-7623	24	6	velocity	velocity	NOUN
ap-7623	24	7	dependent	dependent	ADJ
ap-7623	24	8	gauge	gauge	NOUN
ap-7623	24	9	potential	potential	NOUN
ap-7623	25	1	[	[	X
ap-7623	25	2	21	21	NUM
ap-7623	25	3	,	,	PUNCT
ap-7623	25	4	22	22	NUM
ap-7623	25	5	]	]	PUNCT
ap-7623	25	6	,	,	PUNCT
ap-7623	25	7	and	and	CCONJ
ap-7623	25	8	the	the	DET
ap-7623	25	9	presence	presence	NOUN
ap-7623	25	10	of	of	ADP
ap-7623	25	11	the	the	DET
ap-7623	25	12	maxwell	maxwell	PROPN
ap-7623	25	13	term	term	NOUN
ap-7623	25	14	in	in	ADP
ap-7623	25	15	the	the	DET
ap-7623	25	16	action	action	NOUN
ap-7623	25	17	makes	make	VERB
ap-7623	25	18	the	the	DET
ap-7623	25	19	gauge	gauge	ADJ
ap-7623	25	20	field	field	NOUN
ap-7623	25	21	dynamical	dynamical	ADJ
ap-7623	26	1	[	[	X
ap-7623	26	2	20	20	NUM
ap-7623	26	3	]	]	PUNCT
ap-7623	26	4	.	.	PUNCT
ap-7623	27	1	we	we	PRON
ap-7623	27	2	study	study	VERB
ap-7623	27	3	the	the	DET
ap-7623	27	4	hamiltonian	hamiltonian	ADJ
ap-7623	27	5	formulation	formulation	NOUN
ap-7623	28	1	[	[	X
ap-7623	28	2	1	1	NUM
ap-7623	28	3	]	]	PUNCT
ap-7623	28	4	of	of	ADP
ap-7623	28	5	this	this	DET
ap-7623	28	6	maxwell	maxwell	NOUN
ap-7623	28	7	-	-	PUNCT
ap-7623	28	8	chern	chern	PROPN
ap-7623	28	9	-	-	PUNCT
ap-7623	28	10	simons	simon	NOUN
ap-7623	28	11	-	-	PUNCT
ap-7623	28	12	higgs	higgs	PROPN
ap-7623	28	13	theory	theory	NOUN
ap-7623	28	14	under	under	ADP
ap-7623	28	15	the	the	DET
ap-7623	28	16	appropriate	appropriate	ADJ
ap-7623	28	17	gauge	gauge	NOUN
ap-7623	28	18	fixing	fix	VERB
ap-7623	28	19	conditions	condition	NOUN
ap-7623	28	20	[	[	X
ap-7623	28	21	20	20	NUM
ap-7623	28	22	,	,	PUNCT
ap-7623	28	23	22	22	NUM
ap-7623	28	24	]	]	PUNCT
ap-7623	28	25	.	.	PUNCT
ap-7623	29	1	the	the	DET
ap-7623	29	2	quantization	quantization	NOUN
ap-7623	29	3	of	of	ADP
ap-7623	29	4	field	field	NOUN
ap-7623	29	5	theory	theory	NOUN
ap-7623	29	6	models	model	NOUN
ap-7623	29	7	with	with	ADP
ap-7623	29	8	constraints	constraint	NOUN
ap-7623	29	9	has	have	AUX
ap-7623	29	10	always	always	ADV
ap-7623	29	11	been	be	AUX
ap-7623	29	12	a	a	DET
ap-7623	29	13	challenging	challenging	ADJ
ap-7623	29	14	problem	problem	NOUN
ap-7623	30	1	[	[	X
ap-7623	30	2	1	1	NUM
ap-7623	30	3	]	]	PUNCT
ap-7623	30	4	.	.	PUNCT
ap-7623	31	1	infact	infact	PROPN
ap-7623	31	2	,	,	PUNCT
ap-7623	31	3	any	any	DET
ap-7623	31	4	complete	complete	ADJ
ap-7623	31	5	physical	physical	ADJ
ap-7623	31	6	theory	theory	NOUN
ap-7623	31	7	is	be	AUX
ap-7623	31	8	a	a	DET
ap-7623	31	9	quantum	quantum	ADJ
ap-7623	31	10	theory	theory	NOUN
ap-7623	31	11	and	and	CCONJ
ap-7623	31	12	the	the	DET
ap-7623	31	13	only	only	ADJ
ap-7623	31	14	way	way	NOUN
ap-7623	31	15	of	of	ADP
ap-7623	31	16	defining	define	VERB
ap-7623	31	17	a	a	DET
ap-7623	31	18	quantum	quantum	ADJ
ap-7623	31	19	theory	theory	NOUN
ap-7623	31	20	is	be	AUX
ap-7623	31	21	to	to	PART
ap-7623	31	22	start	start	VERB
ap-7623	31	23	with	with	ADP
ap-7623	31	24	a	a	DET
ap-7623	31	25	classical	classical	ADJ
ap-7623	31	26	theory	theory	NOUN
ap-7623	31	27	and	and	CCONJ
ap-7623	31	28	then	then	ADV
ap-7623	31	29	to	to	PART
ap-7623	31	30	quantize	quantize	VERB
ap-7623	31	31	it	it	PRON
ap-7623	32	1	[	[	X
ap-7623	32	2	1	1	NUM
ap-7623	32	3	]	]	PUNCT
ap-7623	32	4	.	.	PUNCT
ap-7623	33	1	theory	theory	NOUN
ap-7623	33	2	presently	presently	ADV
ap-7623	33	3	under	under	ADP
ap-7623	33	4	consideration	consideration	NOUN
ap-7623	33	5	is	be	AUX
ap-7623	33	6	also	also	ADV
ap-7623	33	7	a	a	DET
ap-7623	33	8	constrained	constrained	ADJ
ap-7623	33	9	system	system	NOUN
ap-7623	33	10	.	.	PUNCT
ap-7623	34	1	in	in	ADP
ap-7623	34	2	the	the	DET
ap-7623	34	3	present	present	ADJ
ap-7623	34	4	work	work	NOUN
ap-7623	34	5	,	,	PUNCT
ap-7623	34	6	we	we	PRON
ap-7623	34	7	quantize	quantize	VERB
ap-7623	34	8	this	this	DET
ap-7623	34	9	theory	theory	NOUN
ap-7623	34	10	using	use	VERB
ap-7623	34	11	the	the	DET
ap-7623	34	12	dirac	dirac	NOUN
ap-7623	34	13	’s	’s	PART
ap-7623	34	14	hamiltonian	hamiltonian	ADJ
ap-7623	34	15	formulation	formulation	NOUN
ap-7623	34	16	[	[	X
ap-7623	34	17	1	1	NUM
ap-7623	34	18	]	]	PUNCT
ap-7623	34	19	in	in	ADP
ap-7623	34	20	the	the	DET
ap-7623	34	21	usual	usual	ADJ
ap-7623	34	22	instant	instant	NOUN
ap-7623	34	23	-	-	PUNCT
ap-7623	34	24	form	form	NOUN
ap-7623	34	25	(	(	PUNCT
ap-7623	34	26	if	if	SCONJ
ap-7623	34	27	)	)	PUNCT
ap-7623	34	28	of	of	ADP
ap-7623	34	29	dynamics	dynamic	NOUN
ap-7623	34	30	(	(	PUNCT
ap-7623	34	31	on	on	ADP
ap-7623	34	32	the	the	DET
ap-7623	34	33	hyperplanes	hyperplane	NOUN
ap-7623	34	34	defined	define	VERB
ap-7623	34	35	by	by	ADP
ap-7623	34	36	:	:	PUNCT
ap-7623	34	37	x0	x0	PROPN
ap-7623	35	1	=	=	PUNCT
ap-7623	35	2	t	t	PROPN
ap-7623	35	3	=	=	SYM
ap-7623	35	4	constant	constant	ADJ
ap-7623	35	5	)	)	PUNCT
ap-7623	35	6	under	under	ADP
ap-7623	35	7	appropriate	appropriate	ADJ
ap-7623	35	8	gauge	gauge	NOUN
ap-7623	35	9	-	-	PUNCT
ap-7623	35	10	fixing	fix	VERB
ap-7623	35	11	conditions	condition	NOUN
ap-7623	35	12	(	(	PUNCT
ap-7623	35	13	gfc	gfc	NOUN
ap-7623	35	14	’s	’s	PART
ap-7623	35	15	)	)	PUNCT
ap-7623	36	1	[	[	X
ap-7623	36	2	1	1	NUM
ap-7623	36	3	,	,	PUNCT
ap-7623	36	4	19–22	19–22	NUM
ap-7623	36	5	]	]	SYM
ap-7623	36	6	.	.	PUNCT
ap-7623	37	1	2	2	X
ap-7623	37	2	.	.	X
ap-7623	37	3	hamiltonian	hamiltonian	ADJ
ap-7623	37	4	formulation	formulation	NOUN
ap-7623	37	5	the	the	DET
ap-7623	37	6	maxwell	maxwell	PROPN
ap-7623	37	7	chern	chern	PROPN
ap-7623	37	8	-	-	PUNCT
ap-7623	37	9	simons	simons	PROPN
ap-7623	37	10	higgs	higgs	PROPN
ap-7623	37	11	theory	theory	NOUN
ap-7623	37	12	in	in	ADP
ap-7623	37	13	two	two	NUM
ap-7623	37	14	space	space	NOUN
ap-7623	37	15	one	one	NUM
ap-7623	37	16	time	time	NOUN
ap-7623	37	17	is	be	AUX
ap-7623	37	18	defined	define	VERB
ap-7623	37	19	by	by	ADP
ap-7623	37	20	the	the	DET
ap-7623	37	21	following	follow	VERB
ap-7623	37	22	action	action	NOUN
ap-7623	37	23	:	:	PUNCT
ap-7623	37	24	s	s	X
ap-7623	37	25	=	=	X
ap-7623	37	26	∫	∫	PROPN
ap-7623	37	27	l(φ	l(φ	PROPN
ap-7623	37	28	,	,	PUNCT
ap-7623	37	29	φ∗	φ∗	NOUN
ap-7623	37	30	,	,	PUNCT
ap-7623	37	31	aµ	aµ	PROPN
ap-7623	37	32	)	)	PUNCT
ap-7623	38	1	d3x	d3x	PROPN
ap-7623	38	2	,	,	PUNCT
ap-7623	38	3	(	(	PUNCT
ap-7623	38	4	1	1	NUM
ap-7623	38	5	)	)	PUNCT
ap-7623	38	6	85	85	NUM
ap-7623	38	7	https://doi.org/10.14311/ap.2022.62.0085	https://doi.org/10.14311/ap.2022.62.0085	NOUN
ap-7623	38	8	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
ap-7623	38	9	https://www.cvut.cz/en	https://www.cvut.cz/en	NOUN
ap-7623	38	10	u.	u.	PROPN
ap-7623	38	11	kulshreshtha	kulshreshtha	PROPN
ap-7623	38	12	,	,	PUNCT
ap-7623	38	13	d.	d.	PROPN
ap-7623	38	14	s.	s.	PROPN
ap-7623	38	15	kulshreshtha	kulshreshtha	PROPN
ap-7623	38	16	,	,	PUNCT
ap-7623	38	17	b.	b.	PROPN
ap-7623	38	18	sihag	sihag	PROPN
ap-7623	38	19	acta	acta	PROPN
ap-7623	38	20	polytechnica	polytechnica	PROPN
ap-7623	38	21	where	where	SCONJ
ap-7623	38	22	the	the	DET
ap-7623	38	23	lagrangian	lagrangian	ADJ
ap-7623	38	24	density	density	NOUN
ap-7623	38	25	l	l	NOUN
ap-7623	38	26	(	(	PUNCT
ap-7623	38	27	with	with	ADP
ap-7623	38	28	κ	κ	NOUN
ap-7623	38	29	=	=	SYM
ap-7623	38	30	θ	θ	PROPN
ap-7623	38	31	2π2	2π2	NUM
ap-7623	38	32	;	;	PUNCT
ap-7623	38	33	θ	θ	PRON
ap-7623	38	34	being	be	AUX
ap-7623	38	35	the	the	DET
ap-7623	38	36	cs	cs	PROPN
ap-7623	38	37	parameter	parameter	NOUN
ap-7623	38	38	)	)	PUNCT
ap-7623	38	39	is	be	AUX
ap-7623	38	40	given	give	VERB
ap-7623	38	41	by	by	ADP
ap-7623	38	42	:	:	PUNCT
ap-7623	38	43	l	l	NOUN
ap-7623	38	44	=	=	PUNCT
ap-7623	39	1	[	[	PUNCT
ap-7623	39	2	−	−	PROPN
ap-7623	39	3	1	1	NUM
ap-7623	39	4	4fµνf	4fµνf	NUM
ap-7623	39	5	µν	µν	X
ap-7623	39	6	+	+	X
ap-7623	39	7	(	(	PUNCT
ap-7623	39	8	d̃µφ∗)(dµφ	d̃µφ∗)(dµφ	PROPN
ap-7623	39	9	)	)	PUNCT
ap-7623	39	10	−	−	PROPN
ap-7623	39	11	v	v	X
ap-7623	39	12	(	(	PUNCT
ap-7623	39	13	|φ|2	|φ|2	PROPN
ap-7623	39	14	)	)	PUNCT
ap-7623	40	1	+	+	ADP
ap-7623	40	2	κ	κ	NOUN
ap-7623	40	3	2	2	NUM
ap-7623	40	4	ϵµνλaµ∂νaλ	ϵµνλaµ∂νaλ	NOUN
ap-7623	40	5	]	]	X
ap-7623	40	6	(	(	PUNCT
ap-7623	40	7	2	2	X
ap-7623	40	8	)	)	PUNCT
ap-7623	40	9	v	v	NOUN
ap-7623	40	10	(	(	PUNCT
ap-7623	40	11	|φ|)2	|φ|)2	NOUN
ap-7623	40	12	=	=	PUNCT
ap-7623	40	13	γ	γ	X
ap-7623	40	14	+	+	NUM
ap-7623	40	15	β|φ|2	β|φ|2	PROPN
ap-7623	40	16	+	+	CCONJ
ap-7623	40	17	α|φ|4	α|φ|4	ADJ
ap-7623	40	18	=	=	PUNCT
ap-7623	41	1	λ(|φ|2	λ(|φ|2	ADP
ap-7623	41	2	−	−	PROPN
ap-7623	41	3	φ2	φ2	PROPN
ap-7623	41	4	0)2	0)2	NUM
ap-7623	41	5	;	;	PUNCT
ap-7623	41	6	(	(	PUNCT
ap-7623	41	7	φ0	φ0	PROPN
ap-7623	41	8	̸=	̸=	PROPN
ap-7623	41	9	0	0	NUM
ap-7623	41	10	)	)	PUNCT
ap-7623	41	11	.	.	PUNCT
ap-7623	42	1	(	(	PUNCT
ap-7623	42	2	3	3	X
ap-7623	42	3	)	)	PUNCT
ap-7623	42	4	where	where	SCONJ
ap-7623	42	5	the	the	DET
ap-7623	42	6	covariant	covariant	ADJ
ap-7623	42	7	derivative	derivative	NOUN
ap-7623	42	8	is	be	AUX
ap-7623	42	9	defined	define	VERB
ap-7623	42	10	by	by	ADP
ap-7623	42	11	:	:	PUNCT
ap-7623	42	12	dµ	dµ	PROPN
ap-7623	42	13	=	=	PUNCT
ap-7623	42	14	(	(	PUNCT
ap-7623	42	15	∂µ	∂µ	PROPN
ap-7623	42	16	+	+	CCONJ
ap-7623	42	17	i	i	PRON
ap-7623	42	18	eaµ	eaµ	VERB
ap-7623	42	19	)	)	PUNCT
ap-7623	42	20	d̃µ	d̃µ	PROPN
ap-7623	42	21	=	=	SYM
ap-7623	43	1	(	(	PUNCT
ap-7623	43	2	∂µ	∂µ	PROPN
ap-7623	43	3	−	−	PROPN
ap-7623	43	4	i	i	PRON
ap-7623	43	5	eaµ	eaµ	VERB
ap-7623	43	6	)	)	PUNCT
ap-7623	43	7	gµν	gµν	NOUN
ap-7623	43	8	=	=	SYM
ap-7623	43	9	diag(+1	diag(+1	NOUN
ap-7623	43	10	,	,	PUNCT
ap-7623	43	11	−1	−1	NOUN
ap-7623	43	12	,	,	PUNCT
ap-7623	43	13	−1	−1	NOUN
ap-7623	43	14	)	)	PUNCT
ap-7623	44	1	ϵ012	ϵ012	PUNCT
ap-7623	45	1	=	=	PUNCT
ap-7623	45	2	ϵ012	ϵ012	PROPN
ap-7623	45	3	=	=	SYM
ap-7623	45	4	+1	+1	PROPN
ap-7623	45	5	µ	µ	NOUN
ap-7623	45	6	,	,	PUNCT
ap-7623	45	7	ν	ν	X
ap-7623	45	8	=	=	SYM
ap-7623	45	9	0	0	NUM
ap-7623	45	10	,	,	PUNCT
ap-7623	45	11	1	1	NUM
ap-7623	45	12	,	,	PUNCT
ap-7623	45	13	2	2	NUM
ap-7623	45	14	.	.	PUNCT
ap-7623	45	15	(	(	PUNCT
ap-7623	45	16	4	4	NUM
ap-7623	45	17	)	)	PUNCT
ap-7623	45	18	in	in	ADP
ap-7623	45	19	the	the	DET
ap-7623	45	20	above	above	ADJ
ap-7623	45	21	lagrangian	lagrangian	ADJ
ap-7623	45	22	density	density	NOUN
ap-7623	45	23	the	the	DET
ap-7623	45	24	first	first	ADJ
ap-7623	45	25	term	term	NOUN
ap-7623	45	26	is	be	AUX
ap-7623	45	27	the	the	DET
ap-7623	45	28	kinetic	kinetic	ADJ
ap-7623	45	29	energy	energy	NOUN
ap-7623	45	30	term	term	NOUN
ap-7623	45	31	of	of	ADP
ap-7623	45	32	the	the	DET
ap-7623	45	33	u(1	u(1	PROPN
ap-7623	45	34	)	)	PUNCT
ap-7623	45	35	gauge	gauge	NOUN
ap-7623	45	36	field	field	NOUN
ap-7623	45	37	and	and	CCONJ
ap-7623	45	38	second	second	ADJ
ap-7623	45	39	term	term	NOUN
ap-7623	45	40	represents	represent	VERB
ap-7623	45	41	the	the	DET
ap-7623	45	42	coupling	coupling	NOUN
ap-7623	45	43	of	of	ADP
ap-7623	45	44	u(1	u(1	PROPN
ap-7623	45	45	)	)	PUNCT
ap-7623	45	46	gauge	gauge	NOUN
ap-7623	45	47	field	field	NOUN
ap-7623	45	48	with	with	ADP
ap-7623	45	49	the	the	DET
ap-7623	45	50	complex	complex	ADJ
ap-7623	45	51	scalar	scalar	ADJ
ap-7623	45	52	field	field	NOUN
ap-7623	45	53	as	as	ADV
ap-7623	45	54	well	well	ADV
ap-7623	45	55	as	as	ADP
ap-7623	45	56	kinetic	kinetic	ADJ
ap-7623	45	57	energy	energy	NOUN
ap-7623	45	58	for	for	ADP
ap-7623	45	59	the	the	DET
ap-7623	45	60	complex	complex	ADJ
ap-7623	45	61	scalar	scalar	ADJ
ap-7623	45	62	field	field	NOUN
ap-7623	45	63	.	.	PUNCT
ap-7623	46	1	third	third	ADJ
ap-7623	46	2	term	term	NOUN
ap-7623	46	3	describes	describe	VERB
ap-7623	46	4	higgs	higgs	NOUN
ap-7623	46	5	potential	potential	NOUN
ap-7623	46	6	and	and	CCONJ
ap-7623	46	7	the	the	DET
ap-7623	46	8	last	last	ADJ
ap-7623	46	9	term	term	NOUN
ap-7623	46	10	is	be	AUX
ap-7623	46	11	the	the	DET
ap-7623	46	12	cs	cs	ADJ
ap-7623	46	13	term	term	NOUN
ap-7623	46	14	.	.	PUNCT
ap-7623	47	1	the	the	DET
ap-7623	47	2	model	model	NOUN
ap-7623	47	3	without	without	ADP
ap-7623	47	4	the	the	DET
ap-7623	47	5	cs	cs	ADJ
ap-7623	47	6	term	term	NOUN
ap-7623	47	7	describes	describe	VERB
ap-7623	47	8	an	an	DET
ap-7623	47	9	abelian	abelian	ADJ
ap-7623	47	10	higgs	higgs	PROPN
ap-7623	47	11	model	model	NOUN
ap-7623	47	12	and	and	CCONJ
ap-7623	47	13	is	be	AUX
ap-7623	47	14	defined	define	VERB
ap-7623	47	15	by	by	ADP
ap-7623	47	16	the	the	DET
ap-7623	47	17	lagrangian	lagrangian	ADJ
ap-7623	47	18	density	density	NOUN
ap-7623	48	1	l	l	NOUN
ap-7623	48	2	=	=	SYM
ap-7623	48	3	l	l	PROPN
ap-7623	48	4	(	(	PUNCT
ap-7623	48	5	φ	φ	PROPN
ap-7623	48	6	,	,	PUNCT
ap-7623	48	7	φ∗	φ∗	NOUN
ap-7623	48	8	,	,	PUNCT
ap-7623	48	9	aµ	aµ	PROPN
ap-7623	48	10	)	)	PUNCT
ap-7623	48	11	where	where	SCONJ
ap-7623	48	12	l	l	NOUN
ap-7623	48	13	is	be	AUX
ap-7623	48	14	a	a	DET
ap-7623	48	15	function	function	NOUN
ap-7623	48	16	of	of	ADP
ap-7623	48	17	a	a	DET
ap-7623	48	18	complex	complex	ADJ
ap-7623	48	19	scalar	scalar	ADJ
ap-7623	48	20	field	field	NOUN
ap-7623	48	21	and	and	CCONJ
ap-7623	48	22	an	an	DET
ap-7623	48	23	abelian	abelian	ADJ
ap-7623	48	24	gauge	gauge	NOUN
ap-7623	48	25	vector	vector	NOUN
ap-7623	48	26	field	field	NOUN
ap-7623	48	27	aµ(x	aµ(x	PUNCT
ap-7623	48	28	)	)	PUNCT
ap-7623	48	29	defined	define	VERB
ap-7623	48	30	by	by	ADP
ap-7623	48	31	the	the	DET
ap-7623	48	32	above	above	ADJ
ap-7623	48	33	lagrangian	lagrangian	ADJ
ap-7623	48	34	density	density	NOUN
ap-7623	48	35	.	.	PUNCT
ap-7623	49	1	in	in	ADP
ap-7623	49	2	(	(	PUNCT
ap-7623	49	3	2	2	NUM
ap-7623	49	4	+	+	NUM
ap-7623	49	5	1)d	1)d	NOUN
ap-7623	49	6	this	this	DET
ap-7623	49	7	theory	theory	NOUN
ap-7623	49	8	is	be	AUX
ap-7623	49	9	called	call	VERB
ap-7623	49	10	as	as	ADP
ap-7623	49	11	the	the	DET
ap-7623	49	12	nielsen	nielsen	PROPN
ap-7623	49	13	olsen	olsen	PROPN
ap-7623	49	14	(	(	PUNCT
ap-7623	49	15	vortex	vortex	NOUN
ap-7623	49	16	)	)	PUNCT
ap-7623	49	17	model	model	NOUN
ap-7623	49	18	(	(	PUNCT
ap-7623	49	19	nom	nom	PROPN
ap-7623	49	20	)	)	PUNCT
ap-7623	49	21	.	.	PUNCT
ap-7623	50	1	these	these	DET
ap-7623	50	2	models	model	NOUN
ap-7623	50	3	possesses	possess	VERB
ap-7623	50	4	stable	stable	ADJ
ap-7623	50	5	,	,	PUNCT
ap-7623	50	6	time	time	NOUN
ap-7623	50	7	independent	independent	ADJ
ap-7623	50	8	(	(	PUNCT
ap-7623	50	9	i.e.	i.e.	X
ap-7623	50	10	,	,	PUNCT
ap-7623	50	11	static	static	ADJ
ap-7623	50	12	)	)	PUNCT
ap-7623	50	13	,	,	PUNCT
ap-7623	50	14	classical	classical	ADJ
ap-7623	50	15	solutions	solution	NOUN
ap-7623	50	16	(	(	PUNCT
ap-7623	50	17	which	which	PRON
ap-7623	50	18	could	could	AUX
ap-7623	50	19	be	be	AUX
ap-7623	50	20	called	call	VERB
ap-7623	50	21	2d	2d	NUM
ap-7623	50	22	solitons	soliton	NOUN
ap-7623	50	23	)	)	PUNCT
ap-7623	50	24	.	.	PUNCT
ap-7623	51	1	in	in	ADP
ap-7623	51	2	fact	fact	NOUN
ap-7623	51	3	,	,	PUNCT
ap-7623	51	4	the	the	DET
ap-7623	51	5	model	model	NOUN
ap-7623	51	6	admits	admit	VERB
ap-7623	51	7	the	the	DET
ap-7623	51	8	so	so	ADV
ap-7623	51	9	-	-	PUNCT
ap-7623	51	10	called	call	VERB
ap-7623	51	11	topological	topological	ADJ
ap-7623	51	12	solitons	soliton	NOUN
ap-7623	51	13	of	of	ADP
ap-7623	51	14	the	the	DET
ap-7623	51	15	vortex	vortex	NOUN
ap-7623	51	16	type	type	NOUN
ap-7623	51	17	[	[	X
ap-7623	51	18	4	4	NUM
ap-7623	51	19	]	]	PUNCT
ap-7623	51	20	.	.	PUNCT
ap-7623	52	1	further	far	ADV
ap-7623	52	2	,	,	PUNCT
ap-7623	52	3	in	in	ADP
ap-7623	52	4	this	this	DET
ap-7623	52	5	model	model	NOUN
ap-7623	52	6	,	,	PUNCT
ap-7623	52	7	if	if	SCONJ
ap-7623	52	8	we	we	PRON
ap-7623	52	9	choose	choose	VERB
ap-7623	52	10	the	the	DET
ap-7623	52	11	parameters	parameter	NOUN
ap-7623	52	12	of	of	ADP
ap-7623	52	13	the	the	DET
ap-7623	52	14	higgs	higgs	NOUN
ap-7623	52	15	potential	potential	NOUN
ap-7623	52	16	to	to	PART
ap-7623	52	17	be	be	AUX
ap-7623	52	18	such	such	ADJ
ap-7623	52	19	that	that	SCONJ
ap-7623	52	20	the	the	DET
ap-7623	52	21	scalar	scalar	ADJ
ap-7623	52	22	and	and	CCONJ
ap-7623	52	23	vector	vector	NOUN
ap-7623	52	24	masses	masse	NOUN
ap-7623	52	25	become	become	VERB
ap-7623	52	26	equal	equal	ADJ
ap-7623	52	27	i.e.	i.e.	ADV
ap-7623	52	28	,	,	PUNCT
ap-7623	52	29	if	if	SCONJ
ap-7623	52	30	we	we	PRON
ap-7623	52	31	set	set	VERB
ap-7623	52	32	the	the	DET
ap-7623	52	33	higgs	higgs	NOUN
ap-7623	52	34	boson	boson	PROPN
ap-7623	52	35	and	and	CCONJ
ap-7623	52	36	the	the	DET
ap-7623	52	37	vector	vector	NOUN
ap-7623	52	38	boson	boson	NOUN
ap-7623	52	39	(	(	PUNCT
ap-7623	52	40	photon	photon	NOUN
ap-7623	52	41	)	)	PUNCT
ap-7623	52	42	masses	masse	NOUN
ap-7623	52	43	to	to	PART
ap-7623	52	44	be	be	AUX
ap-7623	52	45	equal	equal	ADJ
ap-7623	52	46	i.e.	i.e.	X
ap-7623	52	47	,	,	PUNCT
ap-7623	52	48	if	if	SCONJ
ap-7623	52	49	we	we	PRON
ap-7623	52	50	set	set	VERB
ap-7623	52	51	:	:	PUNCT
ap-7623	52	52	mhiggs	mhiggs	PROPN
ap-7623	52	53	=	=	SYM
ap-7623	52	54	mp	mp	PROPN
ap-7623	52	55	hoton	hoton	NOUN
ap-7623	52	56	=	=	PUNCT
ap-7623	53	1	eφ0	eφ0	CCONJ
ap-7623	53	2	then	then	ADV
ap-7623	53	3	that	that	PRON
ap-7623	53	4	implies	imply	VERB
ap-7623	53	5	:	:	PUNCT
ap-7623	53	6	v	v	X
ap-7623	53	7	(	(	PUNCT
ap-7623	53	8	|φ|)2	|φ|)2	NOUN
ap-7623	53	9	=	=	SYM
ap-7623	53	10	1	1	NUM
ap-7623	53	11	2e2(|φ|2	2e2(|φ|2	PROPN
ap-7623	53	12	−	−	NOUN
ap-7623	53	13	φ2	φ2	PROPN
ap-7623	53	14	0)2	0)2	PROPN
ap-7623	53	15	.	.	PUNCT
ap-7623	54	1	(	(	PUNCT
ap-7623	54	2	5	5	X
ap-7623	54	3	)	)	PUNCT
ap-7623	54	4	the	the	DET
ap-7623	54	5	above	above	ADJ
ap-7623	54	6	model	model	NOUN
ap-7623	54	7	then	then	ADV
ap-7623	54	8	reduces	reduce	VERB
ap-7623	54	9	to	to	ADP
ap-7623	54	10	the	the	DET
ap-7623	54	11	so	so	ADV
ap-7623	54	12	-	-	PUNCT
ap-7623	54	13	called	call	VERB
ap-7623	54	14	bogomol’nyi	bogomol’nyi	NOUN
ap-7623	54	15	model	model	NOUN
ap-7623	54	16	which	which	PRON
ap-7623	54	17	describes	describe	VERB
ap-7623	54	18	a	a	DET
ap-7623	54	19	system	system	NOUN
ap-7623	54	20	on	on	ADP
ap-7623	54	21	the	the	DET
ap-7623	54	22	boundary	boundary	NOUN
ap-7623	54	23	between	between	ADP
ap-7623	54	24	type	type	NOUN
ap-7623	54	25	-	-	PUNCT
ap-7623	54	26	i	i	NOUN
ap-7623	54	27	and	and	CCONJ
ap-7623	54	28	type	type	NOUN
ap-7623	54	29	-	-	PUNCT
ap-7623	54	30	ii	ii	NOUN
ap-7623	54	31	superconductivity	superconductivity	NOUN
ap-7623	54	32	[	[	X
ap-7623	54	33	4	4	NUM
ap-7623	54	34	]	]	PUNCT
ap-7623	54	35	.	.	PUNCT
ap-7623	55	1	in	in	ADP
ap-7623	55	2	component	component	NOUN
ap-7623	55	3	form	form	NOUN
ap-7623	55	4	,	,	PUNCT
ap-7623	55	5	the	the	DET
ap-7623	55	6	above	above	ADJ
ap-7623	55	7	lagrangian	lagrangian	ADJ
ap-7623	55	8	density	density	NOUN
ap-7623	55	9	can	can	AUX
ap-7623	55	10	be	be	AUX
ap-7623	55	11	written	write	VERB
ap-7623	55	12	as	as	ADP
ap-7623	55	13	:	:	PUNCT
ap-7623	55	14	l	l	NOUN
ap-7623	55	15	=	=	PUNCT
ap-7623	55	16	(	(	PUNCT
ap-7623	55	17	κ	κ	PROPN
ap-7623	55	18	2	2	NUM
ap-7623	55	19	)	)	PUNCT
ap-7623	55	20	[	[	PUNCT
ap-7623	55	21	a0f12	a0f12	NOUN
ap-7623	55	22	+	+	CCONJ
ap-7623	55	23	a1(∂2a0	a1(∂2a0	NOUN
ap-7623	55	24	)	)	PUNCT
ap-7623	55	25	−	−	PROPN
ap-7623	55	26	a2(∂1a0	a2(∂1a0	NOUN
ap-7623	55	27	)	)	PUNCT
ap-7623	55	28	]	]	PUNCT
ap-7623	56	1	+	+	CCONJ
ap-7623	56	2	(	(	PUNCT
ap-7623	56	3	κ	κ	PROPN
ap-7623	56	4	2	2	NUM
ap-7623	56	5	)	)	PUNCT
ap-7623	56	6	[	[	PUNCT
ap-7623	56	7	a2(∂0a1	a2(∂0a1	NOUN
ap-7623	56	8	)	)	PUNCT
ap-7623	56	9	−	−	PROPN
ap-7623	56	10	a1(∂0a2	a1(∂0a2	NOUN
ap-7623	56	11	)	)	PUNCT
ap-7623	56	12	]	]	PUNCT
ap-7623	57	1	−	−	PROPN
ap-7623	57	2	1	1	NUM
ap-7623	57	3	2f	2f	NUM
ap-7623	57	4	2	2	NUM
ap-7623	57	5	12	12	NUM
ap-7623	57	6	+	+	CCONJ
ap-7623	57	7	[	[	PUNCT
ap-7623	57	8	1	1	NUM
ap-7623	57	9	2(∂1a0	2(∂1a0	NUM
ap-7623	57	10	−	−	NOUN
ap-7623	57	11	∂0a1	∂0a1	NUM
ap-7623	57	12	)	)	PUNCT
ap-7623	58	1	+	+	CCONJ
ap-7623	58	2	1	1	NUM
ap-7623	58	3	2(∂0a2	2(∂0a2	NUM
ap-7623	58	4	−	−	NOUN
ap-7623	58	5	∂2a0	∂2a0	NUM
ap-7623	58	6	)	)	PUNCT
ap-7623	58	7	]	]	PUNCT
ap-7623	59	1	+	+	CCONJ
ap-7623	59	2	[	[	PUNCT
ap-7623	59	3	(	(	PUNCT
ap-7623	59	4	∂0φ∗)(∂0φ	∂0φ∗)(∂0φ	NOUN
ap-7623	59	5	)	)	PUNCT
ap-7623	60	1	+	+	CCONJ
ap-7623	60	2	i	i	PRON
ap-7623	60	3	e(∂0φ∗)a0φ	e(∂0φ∗)a0φ	NOUN
ap-7623	60	4	−	−	NOUN
ap-7623	61	1	i	i	PRON
ap-7623	61	2	e(∂0φ)a0φ∗	e(∂0φ)a0φ∗	VERB
ap-7623	62	1	+	+	CCONJ
ap-7623	62	2	e2a2	e2a2	X
ap-7623	62	3	0φ∗φ	0φ∗φ	NUM
ap-7623	62	4	]	]	PUNCT
ap-7623	63	1	+	+	CCONJ
ap-7623	63	2	[	[	PUNCT
ap-7623	63	3	−	−	X
ap-7623	63	4	(	(	PUNCT
ap-7623	63	5	∂1φ∗)(∂1φ	∂1φ∗)(∂1φ	NUM
ap-7623	63	6	)	)	PUNCT
ap-7623	63	7	−	−	NOUN
ap-7623	64	1	i	i	PRON
ap-7623	64	2	e(∂1φ∗)a1φ	e(∂1φ∗)a1φ	VERB
ap-7623	65	1	+	+	CCONJ
ap-7623	65	2	i	i	PRON
ap-7623	65	3	e(∂1φ)a1φ∗	e(∂1φ)a1φ∗	NOUN
ap-7623	66	1	−	−	NOUN
ap-7623	66	2	e2a2	e2a2	PROPN
ap-7623	66	3	1φ∗φ	1φ∗φ	NUM
ap-7623	66	4	]	]	PUNCT
ap-7623	67	1	+	+	CCONJ
ap-7623	67	2	[	[	PUNCT
ap-7623	67	3	−	−	X
ap-7623	67	4	(	(	PUNCT
ap-7623	67	5	∂2φ∗)(∂2φ	∂2φ∗)(∂2φ	NUM
ap-7623	67	6	)	)	PUNCT
ap-7623	67	7	−	−	PROPN
ap-7623	67	8	i	i	PRON
ap-7623	67	9	e(∂2φ∗)a2φ	e(∂2φ∗)a2φ	VERB
ap-7623	68	1	+	+	CCONJ
ap-7623	68	2	i	i	PRON
ap-7623	68	3	e(∂2φ)a2φ∗	e(∂2φ)a2φ∗	PROPN
ap-7623	68	4	−	−	PUNCT
ap-7623	69	1	e2a2	e2a2	PROPN
ap-7623	69	2	2φ∗φ	2φ∗φ	NUM
ap-7623	69	3	]	]	PUNCT
ap-7623	69	4	−	−	PROPN
ap-7623	69	5	v	v	X
ap-7623	69	6	(	(	PUNCT
ap-7623	69	7	|φ|2	|φ|2	PROPN
ap-7623	69	8	)	)	PUNCT
ap-7623	69	9	.	.	PUNCT
ap-7623	70	1	(	(	PUNCT
ap-7623	70	2	6	6	X
ap-7623	70	3	)	)	PUNCT
ap-7623	70	4	canonical	canonical	ADJ
ap-7623	70	5	momenta	momenta	NOUN
ap-7623	70	6	obtained	obtain	VERB
ap-7623	70	7	from	from	ADP
ap-7623	70	8	the	the	DET
ap-7623	70	9	above	above	ADJ
ap-7623	70	10	lagrangian	lagrangian	ADJ
ap-7623	70	11	density	density	NOUN
ap-7623	70	12	are	be	AUX
ap-7623	70	13	:	:	PUNCT
ap-7623	70	14	π	π	X
ap-7623	70	15	=	=	PUNCT
ap-7623	70	16	∂l	∂l	PROPN
ap-7623	70	17	∂(∂0φ	∂(∂0φ	NOUN
ap-7623	70	18	)	)	PUNCT
ap-7623	71	1	=	=	PUNCT
ap-7623	72	1	(	(	PUNCT
ap-7623	72	2	∂0φ∗	∂0φ∗	ADP
ap-7623	72	3	−	−	PROPN
ap-7623	72	4	i	i	PRON
ap-7623	72	5	ea0φ∗	ea0φ∗	ADJ
ap-7623	72	6	)	)	PUNCT
ap-7623	72	7	π∗	π∗	PROPN
ap-7623	72	8	=	=	SYM
ap-7623	72	9	∂l	∂l	PROPN
ap-7623	72	10	∂(∂0φ∗	∂(∂0φ∗	NOUN
ap-7623	72	11	)	)	PUNCT
ap-7623	72	12	=	=	PUNCT
ap-7623	72	13	(	(	PUNCT
ap-7623	72	14	∂0φ	∂0φ	NOUN
ap-7623	73	1	+	+	CCONJ
ap-7623	73	2	i	i	NOUN
ap-7623	73	3	ea0φ	ea0φ	NOUN
ap-7623	73	4	)	)	PUNCT
ap-7623	73	5	π0	π0	NOUN
ap-7623	73	6	=	=	SYM
ap-7623	73	7	∂l	∂l	PROPN
ap-7623	73	8	∂(∂0a0	∂(∂0a0	NOUN
ap-7623	73	9	)	)	PUNCT
ap-7623	73	10	=	=	SYM
ap-7623	73	11	0	0	PUNCT
ap-7623	73	12	(	(	PUNCT
ap-7623	73	13	7	7	NUM
ap-7623	73	14	)	)	PUNCT
ap-7623	73	15	e1(:=	e1(:=	X
ap-7623	73	16	π1	π1	NOUN
ap-7623	73	17	)	)	PUNCT
ap-7623	73	18	:	:	PUNCT
ap-7623	73	19	=	=	PUNCT
ap-7623	73	20	∂l	∂l	PROPN
ap-7623	73	21	∂(∂0a1	∂(∂0a1	NOUN
ap-7623	73	22	)	)	PUNCT
ap-7623	73	23	=	=	SYM
ap-7623	73	24	−(∂1a0	−(∂1a0	PRON
ap-7623	73	25	−	−	PROPN
ap-7623	73	26	∂0a1	∂0a1	NUM
ap-7623	73	27	)	)	PUNCT
ap-7623	73	28	+	+	CCONJ
ap-7623	73	29	κ	κ	PROPN
ap-7623	73	30	2	2	NUM
ap-7623	73	31	a2	a2	PROPN
ap-7623	73	32	e2(:=	e2(:=	X
ap-7623	73	33	π2	π2	NOUN
ap-7623	73	34	)	)	PUNCT
ap-7623	73	35	=	=	SYM
ap-7623	73	36	∂l	∂l	NOUN
ap-7623	73	37	∂(∂0a2	∂(∂0a2	NOUN
ap-7623	73	38	)	)	PUNCT
ap-7623	73	39	=	=	PRON
ap-7623	74	1	(	(	PUNCT
ap-7623	74	2	∂0a2	∂0a2	NUM
ap-7623	74	3	−	−	NUM
ap-7623	74	4	∂2a0	∂2a0	NUM
ap-7623	74	5	)	)	PUNCT
ap-7623	75	1	−	−	PROPN
ap-7623	75	2	κ	κ	NOUN
ap-7623	75	3	2	2	NUM
ap-7623	75	4	a1	a1	NOUN
ap-7623	75	5	.	.	PUNCT
ap-7623	76	1	(	(	PUNCT
ap-7623	76	2	8)	8)	NUM
ap-7623	76	3	here	here	ADV
ap-7623	76	4	π	π	PROPN
ap-7623	76	5	,	,	PUNCT
ap-7623	76	6	π∗	π∗	PROPN
ap-7623	76	7	,	,	PUNCT
ap-7623	76	8	π0	π0	NOUN
ap-7623	76	9	,	,	PUNCT
ap-7623	76	10	e1	e1	PROPN
ap-7623	76	11	,	,	PUNCT
ap-7623	76	12	e2	e2	PROPN
ap-7623	76	13	are	be	AUX
ap-7623	76	14	the	the	DET
ap-7623	76	15	momenta	momenta	NOUN
ap-7623	76	16	canonically	canonically	ADV
ap-7623	76	17	conjugate	conjugate	ADJ
ap-7623	76	18	respectively	respectively	ADV
ap-7623	76	19	to	to	ADP
ap-7623	76	20	φ	φ	PROPN
ap-7623	76	21	,	,	PUNCT
ap-7623	76	22	φ∗	φ∗	NOUN
ap-7623	76	23	,	,	PUNCT
ap-7623	76	24	a0	a0	NOUN
ap-7623	76	25	,	,	PUNCT
ap-7623	76	26	a1	a1	PROPN
ap-7623	76	27	,	,	PUNCT
ap-7623	76	28	a2	a2	PROPN
ap-7623	76	29	.	.	PUNCT
ap-7623	77	1	the	the	DET
ap-7623	77	2	theory	theory	NOUN
ap-7623	77	3	is	be	AUX
ap-7623	77	4	thus	thus	ADV
ap-7623	77	5	seen	see	VERB
ap-7623	77	6	to	to	PART
ap-7623	77	7	possess	possess	VERB
ap-7623	77	8	only	only	ADV
ap-7623	77	9	one	one	NUM
ap-7623	77	10	primary	primary	ADJ
ap-7623	77	11	constraint	constraint	NOUN
ap-7623	77	12	(	(	PUNCT
ap-7623	77	13	pc	pc	NOUN
ap-7623	77	14	):	):	PUNCT
ap-7623	77	15	χ1	χ1	NOUN
ap-7623	77	16	=	=	SYM
ap-7623	77	17	π0	π0	NOUN
ap-7623	77	18	≈	≈	PROPN
ap-7623	77	19	0	0	NUM
ap-7623	77	20	.	.	PUNCT
ap-7623	78	1	(	(	PUNCT
ap-7623	78	2	9	9	X
ap-7623	78	3	)	)	PUNCT
ap-7623	78	4	the	the	DET
ap-7623	78	5	canonical	canonical	ADJ
ap-7623	78	6	hamiltonian	hamiltonian	ADJ
ap-7623	78	7	density	density	NOUN
ap-7623	78	8	of	of	ADP
ap-7623	78	9	the	the	DET
ap-7623	78	10	theory	theory	NOUN
ap-7623	78	11	is	be	AUX
ap-7623	78	12	obtained	obtain	VERB
ap-7623	78	13	using	use	VERB
ap-7623	78	14	the	the	DET
ap-7623	78	15	legendre	legendre	PROPN
ap-7623	78	16	transformation	transformation	NOUN
ap-7623	78	17	from	from	ADP
ap-7623	78	18	the	the	DET
ap-7623	78	19	lagrangian	lagrangian	ADJ
ap-7623	78	20	density	density	NOUN
ap-7623	78	21	of	of	ADP
ap-7623	78	22	the	the	DET
ap-7623	78	23	theory	theory	NOUN
ap-7623	78	24	in	in	ADP
ap-7623	78	25	the	the	DET
ap-7623	78	26	usual	usual	ADJ
ap-7623	78	27	manner	manner	NOUN
ap-7623	78	28	.	.	PUNCT
ap-7623	79	1	every	every	DET
ap-7623	79	2	term	term	NOUN
ap-7623	79	3	in	in	ADP
ap-7623	79	4	the	the	DET
ap-7623	79	5	lagrangian	lagrangian	ADJ
ap-7623	79	6	density	density	NOUN
ap-7623	79	7	(	(	PUNCT
ap-7623	79	8	including	include	VERB
ap-7623	79	9	the	the	DET
ap-7623	79	10	cs	cs	ADJ
ap-7623	79	11	term	term	NOUN
ap-7623	79	12	)	)	PUNCT
ap-7623	79	13	is	be	AUX
ap-7623	79	14	equally	equally	ADV
ap-7623	79	15	important	important	ADJ
ap-7623	79	16	.	.	PUNCT
ap-7623	80	1	the	the	DET
ap-7623	80	2	calculational	calculational	ADJ
ap-7623	80	3	details	detail	NOUN
ap-7623	80	4	are	be	AUX
ap-7623	80	5	omitted	omit	VERB
ap-7623	80	6	here	here	ADV
ap-7623	80	7	for	for	ADP
ap-7623	80	8	the	the	DET
ap-7623	80	9	sake	sake	NOUN
ap-7623	80	10	of	of	ADP
ap-7623	80	11	brevity	brevity	NOUN
ap-7623	80	12	.	.	PUNCT
ap-7623	81	1	the	the	DET
ap-7623	81	2	total	total	ADJ
ap-7623	81	3	hamiltonian	hamiltonian	ADJ
ap-7623	81	4	density	density	NOUN
ap-7623	81	5	of	of	ADP
ap-7623	81	6	the	the	DET
ap-7623	81	7	theory	theory	NOUN
ap-7623	81	8	is	be	AUX
ap-7623	81	9	then	then	ADV
ap-7623	81	10	obtained	obtain	VERB
ap-7623	81	11	from	from	ADP
ap-7623	81	12	the	the	DET
ap-7623	81	13	canonical	canonical	ADJ
ap-7623	81	14	hamiltonian	hamiltonian	ADJ
ap-7623	81	15	density	density	NOUN
ap-7623	81	16	by	by	ADP
ap-7623	81	17	including	include	VERB
ap-7623	81	18	86	86	NUM
ap-7623	81	19	vol	vol	NOUN
ap-7623	81	20	.	.	PUNCT
ap-7623	82	1	62	62	NUM
ap-7623	82	2	no	no	INTJ
ap-7623	82	3	.	.	PUNCT
ap-7623	83	1	1/2022	1/2022	NUM
ap-7623	83	2	maxwell	maxwell	NOUN
ap-7623	83	3	-	-	PUNCT
ap-7623	83	4	chern	chern	PROPN
ap-7623	83	5	-	-	PUNCT
ap-7623	83	6	simons	simon	NOUN
ap-7623	83	7	-	-	PUNCT
ap-7623	83	8	higgs	higgs	PROPN
ap-7623	83	9	theory	theory	NOUN
ap-7623	83	10	in	in	ADP
ap-7623	83	11	it	it	PRON
ap-7623	83	12	the	the	DET
ap-7623	83	13	primary	primary	ADJ
ap-7623	83	14	constraint	constraint	NOUN
ap-7623	83	15	of	of	ADP
ap-7623	83	16	the	the	DET
ap-7623	83	17	theory	theory	NOUN
ap-7623	83	18	with	with	ADP
ap-7623	83	19	the	the	DET
ap-7623	83	20	help	help	NOUN
ap-7623	83	21	of	of	ADP
ap-7623	83	22	the	the	DET
ap-7623	83	23	lagrange	lagrange	NOUN
ap-7623	83	24	multiplier	multipli	ADJ
ap-7623	83	25	field	field	NOUN
ap-7623	83	26	u	u	PROPN
ap-7623	83	27	≡	≡	PROPN
ap-7623	83	28	u(xµ	u(xµ	PROPN
ap-7623	83	29	)	)	PUNCT
ap-7623	83	30	(	(	PUNCT
ap-7623	83	31	which	which	PRON
ap-7623	83	32	is	be	AUX
ap-7623	83	33	dynamical	dynamical	ADJ
ap-7623	83	34	)	)	PUNCT
ap-7623	83	35	as	as	SCONJ
ap-7623	83	36	follows	follow	VERB
ap-7623	83	37	:	:	PUNCT
ap-7623	83	38	ht	ht	PROPN
ap-7623	83	39	=	=	PUNCT
ap-7623	83	40	π0u	π0u	PROPN
ap-7623	84	1	+	+	CCONJ
ap-7623	84	2	π	π	PROPN
ap-7623	84	3	π∗	π∗	PROPN
ap-7623	84	4	−	−	PROPN
ap-7623	84	5	iea0(πφ	iea0(πφ	NOUN
ap-7623	84	6	−	−	NOUN
ap-7623	84	7	π∗φ∗	π∗φ∗	NOUN
ap-7623	84	8	)	)	PUNCT
ap-7623	85	1	+	+	CCONJ
ap-7623	85	2	1	1	NUM
ap-7623	85	3	2(e1	2(e1	NUM
ap-7623	85	4	2	2	NUM
ap-7623	86	1	+	+	CCONJ
ap-7623	86	2	e2	e2	PROPN
ap-7623	86	3	2	2	NUM
ap-7623	86	4	)	)	PUNCT
ap-7623	86	5	+	+	CCONJ
ap-7623	86	6	1	1	NUM
ap-7623	86	7	2f	2f	NUM
ap-7623	86	8	2	2	NUM
ap-7623	86	9	12	12	NUM
ap-7623	86	10	+	+	CCONJ
ap-7623	86	11	[	[	PUNCT
ap-7623	86	12	e1(∂1a0	e1(∂1a0	X
ap-7623	86	13	)	)	PUNCT
ap-7623	86	14	+	+	CCONJ
ap-7623	86	15	e2(∂2a0	e2(∂2a0	VERB
ap-7623	86	16	)	)	PUNCT
ap-7623	86	17	]	]	PUNCT
ap-7623	87	1	+	+	CCONJ
ap-7623	87	2	1	1	NUM
ap-7623	87	3	2	2	NUM
ap-7623	87	4	(	(	PUNCT
ap-7623	87	5	κ	κ	NOUN
ap-7623	87	6	2	2	NUM
ap-7623	87	7	)	)	SYM
ap-7623	87	8	2	2	NUM
ap-7623	87	9	(	(	PUNCT
ap-7623	87	10	a1	a1	NOUN
ap-7623	87	11	2	2	NUM
ap-7623	87	12	+	+	NUM
ap-7623	87	13	a2	a2	PROPN
ap-7623	87	14	2	2	NUM
ap-7623	87	15	)	)	PUNCT
ap-7623	87	16	−	−	PROPN
ap-7623	87	17	(	(	PUNCT
ap-7623	87	18	κ	κ	NOUN
ap-7623	87	19	2	2	NUM
ap-7623	87	20	)	)	PUNCT
ap-7623	87	21	[	[	PUNCT
ap-7623	87	22	a2e1	a2e1	PRON
ap-7623	87	23	−	−	PROPN
ap-7623	87	24	a1e2	a1e2	X
ap-7623	87	25	+	+	CCONJ
ap-7623	87	26	a0f12	a0f12	NOUN
ap-7623	87	27	]	]	PUNCT
ap-7623	88	1	+	+	CCONJ
ap-7623	88	2	[	[	PUNCT
ap-7623	88	3	(	(	PUNCT
ap-7623	88	4	∂1φ∗)(∂1φ	∂1φ∗)(∂1φ	NUM
ap-7623	88	5	)	)	PUNCT
ap-7623	89	1	+	+	CCONJ
ap-7623	89	2	i	i	PRON
ap-7623	89	3	e(∂1φ∗)a1φ	e(∂1φ∗)a1φ	NOUN
ap-7623	89	4	−	−	PROPN
ap-7623	90	1	i	i	PRON
ap-7623	90	2	e(∂1φ)a1φ∗	e(∂1φ)a1φ∗	PROPN
ap-7623	91	1	+	+	X
ap-7623	91	2	e2a2	e2a2	PROPN
ap-7623	92	1	1φ∗φ	1φ∗φ	NUM
ap-7623	92	2	]	]	PUNCT
ap-7623	93	1	+	+	CCONJ
ap-7623	93	2	[	[	PUNCT
ap-7623	93	3	(	(	PUNCT
ap-7623	93	4	∂2φ∗)(∂2φ	∂2φ∗)(∂2φ	NUM
ap-7623	93	5	)	)	PUNCT
ap-7623	94	1	+	+	CCONJ
ap-7623	94	2	i	i	PRON
ap-7623	94	3	e(∂2φ∗)a2φ	e(∂2φ∗)a2φ	NOUN
ap-7623	94	4	−	−	PROPN
ap-7623	95	1	i	i	PRON
ap-7623	95	2	e(∂2φ)a2φ∗	e(∂2φ)a2φ∗	PROPN
ap-7623	96	1	+	+	CCONJ
ap-7623	96	2	e2a2	e2a2	PROPN
ap-7623	97	1	2φ∗φ	2φ∗φ	NUM
ap-7623	97	2	]	]	PUNCT
ap-7623	97	3	,	,	PUNCT
ap-7623	97	4	(	(	PUNCT
ap-7623	97	5	10	10	NUM
ap-7623	97	6	)	)	PUNCT
ap-7623	97	7	where	where	SCONJ
ap-7623	97	8	ht	ht	PROPN
ap-7623	97	9	=	=	SYM
ap-7623	97	10	∫	∫	PROPN
ap-7623	98	1	ht	ht	PROPN
ap-7623	98	2	d2x	d2x	PROPN
ap-7623	98	3	,	,	PUNCT
ap-7623	98	4	(	(	PUNCT
ap-7623	98	5	11	11	NUM
ap-7623	98	6	)	)	PUNCT
ap-7623	98	7	with	with	ADP
ap-7623	98	8	the	the	DET
ap-7623	98	9	total	total	ADJ
ap-7623	98	10	hamiltonian	hamiltonian	ADJ
ap-7623	98	11	density	density	NOUN
ap-7623	98	12	given	give	VERB
ap-7623	98	13	by	by	ADP
ap-7623	98	14	:	:	PUNCT
ap-7623	98	15	ht	ht	PROPN
ap-7623	98	16	=	=	PUNCT
ap-7623	98	17	[	[	PUNCT
ap-7623	98	18	hc	hc	PROPN
ap-7623	98	19	+	+	PROPN
ap-7623	98	20	π0u	π0u	X
ap-7623	98	21	]	]	PUNCT
ap-7623	98	22	.	.	PUNCT
ap-7623	99	1	(	(	PUNCT
ap-7623	99	2	12	12	NUM
ap-7623	99	3	)	)	PUNCT
ap-7623	99	4	.	.	PUNCT
ap-7623	100	1	it	it	PRON
ap-7623	100	2	is	be	AUX
ap-7623	100	3	to	to	PART
ap-7623	100	4	be	be	AUX
ap-7623	100	5	noted	note	VERB
ap-7623	100	6	here	here	ADV
ap-7623	100	7	that	that	SCONJ
ap-7623	100	8	in	in	ADP
ap-7623	100	9	the	the	DET
ap-7623	100	10	construction	construction	NOUN
ap-7623	100	11	of	of	ADP
ap-7623	100	12	the	the	DET
ap-7623	100	13	canonical	canonical	ADJ
ap-7623	100	14	hamiltonian	hamiltonian	ADJ
ap-7623	100	15	density	density	NOUN
ap-7623	100	16	of	of	ADP
ap-7623	100	17	the	the	DET
ap-7623	100	18	theory	theory	NOUN
ap-7623	100	19	,	,	PUNCT
ap-7623	100	20	all	all	DET
ap-7623	100	21	the	the	DET
ap-7623	100	22	fields	field	NOUN
ap-7623	100	23	of	of	ADP
ap-7623	100	24	the	the	DET
ap-7623	100	25	theory	theory	NOUN
ap-7623	100	26	play	play	VERB
ap-7623	100	27	an	an	DET
ap-7623	100	28	equally	equally	ADV
ap-7623	100	29	important	important	ADJ
ap-7623	100	30	role	role	NOUN
ap-7623	100	31	through	through	ADP
ap-7623	100	32	the	the	DET
ap-7623	100	33	legendre	legendre	PROPN
ap-7623	100	34	transformation	transformation	NOUN
ap-7623	100	35	and	and	CCONJ
ap-7623	100	36	through	through	ADP
ap-7623	100	37	the	the	DET
ap-7623	100	38	lagrangian	lagrangian	ADJ
ap-7623	100	39	density	density	NOUN
ap-7623	100	40	of	of	ADP
ap-7623	100	41	the	the	DET
ap-7623	100	42	theory	theory	NOUN
ap-7623	100	43	that	that	PRON
ap-7623	100	44	defines	define	VERB
ap-7623	100	45	the	the	DET
ap-7623	100	46	theory	theory	NOUN
ap-7623	100	47	.	.	PUNCT
ap-7623	101	1	also	also	ADV
ap-7623	101	2	,	,	PUNCT
ap-7623	101	3	it	it	PRON
ap-7623	101	4	is	be	AUX
ap-7623	101	5	worth	worth	ADJ
ap-7623	101	6	mentioning	mention	VERB
ap-7623	101	7	here	here	ADV
ap-7623	101	8	that	that	SCONJ
ap-7623	101	9	the	the	DET
ap-7623	101	10	hamilton	hamilton	PROPN
ap-7623	101	11	’s	’s	PART
ap-7623	101	12	equations	equation	NOUN
ap-7623	101	13	of	of	ADP
ap-7623	101	14	motion	motion	NOUN
ap-7623	101	15	of	of	ADP
ap-7623	101	16	the	the	DET
ap-7623	101	17	theory	theory	NOUN
ap-7623	101	18	(	(	PUNCT
ap-7623	101	19	that	that	PRON
ap-7623	101	20	are	be	AUX
ap-7623	101	21	omitted	omit	VERB
ap-7623	101	22	here	here	ADV
ap-7623	101	23	for	for	ADP
ap-7623	101	24	the	the	DET
ap-7623	101	25	sake	sake	NOUN
ap-7623	101	26	of	of	ADP
ap-7623	101	27	brevity	brevity	NOUN
ap-7623	101	28	)	)	PUNCT
ap-7623	101	29	obtained	obtain	VERB
ap-7623	101	30	from	from	ADP
ap-7623	101	31	the	the	DET
ap-7623	101	32	total	total	ADJ
ap-7623	101	33	hamiltonian	hamiltonian	ADJ
ap-7623	101	34	density	density	NOUN
ap-7623	101	35	of	of	ADP
ap-7623	101	36	the	the	DET
ap-7623	101	37	theory	theory	NOUN
ap-7623	101	38	preserve	preserve	VERB
ap-7623	101	39	the	the	DET
ap-7623	101	40	constraints	constraint	NOUN
ap-7623	101	41	of	of	ADP
ap-7623	101	42	the	the	DET
ap-7623	101	43	theory	theory	NOUN
ap-7623	101	44	for	for	ADP
ap-7623	101	45	all	all	DET
ap-7623	101	46	time	time	NOUN
ap-7623	101	47	.	.	PUNCT
ap-7623	102	1	after	after	ADP
ap-7623	102	2	preserving	preserve	VERB
ap-7623	102	3	the	the	DET
ap-7623	102	4	primary	primary	ADJ
ap-7623	102	5	constraint	constraint	NOUN
ap-7623	102	6	χ1	χ1	NOUN
ap-7623	102	7	in	in	ADP
ap-7623	102	8	the	the	DET
ap-7623	102	9	course	course	NOUN
ap-7623	102	10	of	of	ADP
ap-7623	102	11	time	time	NOUN
ap-7623	102	12	,	,	PUNCT
ap-7623	102	13	one	one	PRON
ap-7623	102	14	obtains	obtain	VERB
ap-7623	102	15	a	a	DET
ap-7623	102	16	secondary	secondary	ADJ
ap-7623	102	17	constraint	constraint	NOUN
ap-7623	102	18	χ2	χ2	NOUN
ap-7623	102	19	=	=	PUNCT
ap-7623	102	20	[	[	PUNCT
ap-7623	102	21	ie(πφ	ie(πφ	PROPN
ap-7623	102	22	−	−	NOUN
ap-7623	102	23	π∗φ∗	π∗φ∗	NOUN
ap-7623	102	24	)	)	PUNCT
ap-7623	103	1	+	+	CCONJ
ap-7623	103	2	(	(	PUNCT
ap-7623	103	3	∂1e1	∂1e1	X
ap-7623	103	4	+	+	NUM
ap-7623	103	5	∂2e2	∂2e2	PROPN
ap-7623	103	6	)	)	PUNCT
ap-7623	104	1	+	+	CCONJ
ap-7623	104	2	κ	κ	NOUN
ap-7623	104	3	2	2	NUM
ap-7623	104	4	(	(	PUNCT
ap-7623	104	5	∂1a2	∂1a2	INTJ
ap-7623	104	6	−	−	NOUN
ap-7623	104	7	∂2a1	∂2a1	NUM
ap-7623	104	8	)	)	PUNCT
ap-7623	104	9	]	]	PUNCT
ap-7623	105	1	≈	≈	PROPN
ap-7623	105	2	0	0	NUM
ap-7623	105	3	.	.	PUNCT
ap-7623	106	1	(	(	PUNCT
ap-7623	106	2	13	13	NUM
ap-7623	106	3	)	)	PUNCT
ap-7623	106	4	the	the	DET
ap-7623	106	5	matrix	matrix	NOUN
ap-7623	106	6	of	of	ADP
ap-7623	106	7	poisson	poisson	NOUN
ap-7623	106	8	brackets	bracket	NOUN
ap-7623	106	9	(	(	PUNCT
ap-7623	106	10	pb	pb	ADP
ap-7623	106	11	’s	’s	PART
ap-7623	106	12	)	)	PUNCT
ap-7623	106	13	among	among	ADP
ap-7623	106	14	the	the	DET
ap-7623	106	15	constraints	constraint	NOUN
ap-7623	106	16	χi	χi	NOUN
ap-7623	106	17	is	be	AUX
ap-7623	106	18	a	a	DET
ap-7623	106	19	null	null	ADJ
ap-7623	106	20	matrix	matrix	NOUN
ap-7623	106	21	and	and	CCONJ
ap-7623	106	22	thereby	thereby	ADV
ap-7623	106	23	theory	theory	NOUN
ap-7623	106	24	is	be	AUX
ap-7623	106	25	a	a	DET
ap-7623	106	26	gauge	gauge	ADJ
ap-7623	106	27	invariant	invariant	ADJ
ap-7623	106	28	theory	theory	NOUN
ap-7623	106	29	and	and	CCONJ
ap-7623	106	30	is	be	AUX
ap-7623	106	31	invariant	invariant	ADJ
ap-7623	106	32	under	under	ADP
ap-7623	106	33	the	the	DET
ap-7623	106	34	following	follow	VERB
ap-7623	106	35	local	local	ADJ
ap-7623	106	36	vector	vector	NOUN
ap-7623	106	37	gauge	gauge	NOUN
ap-7623	106	38	transformations	transformation	NOUN
ap-7623	106	39	:	:	PUNCT
ap-7623	106	40	δφ	δφ	PROPN
ap-7623	106	41	=	=	PUNCT
ap-7623	106	42	iβφ	iβφ	ADJ
ap-7623	106	43	,	,	PUNCT
ap-7623	106	44	δφ∗	δφ∗	NOUN
ap-7623	106	45	=	=	SYM
ap-7623	106	46	−iβφ∗	−iβφ∗	NOUN
ap-7623	106	47	,	,	PUNCT
ap-7623	106	48	δπ0	δπ0	NOUN
ap-7623	106	49	=	=	SYM
ap-7623	106	50	0	0	NUM
ap-7623	106	51	δa0	δa0	NOUN
ap-7623	106	52	=	=	NOUN
ap-7623	106	53	−∂0β	−∂0β	NOUN
ap-7623	106	54	;	;	PUNCT
ap-7623	106	55	δa1	δa1	PRON
ap-7623	106	56	=	=	PUNCT
ap-7623	106	57	−∂1β	−∂1β	NOUN
ap-7623	106	58	;	;	PUNCT
ap-7623	106	59	δa2	δa2	X
ap-7623	106	60	=	=	SYM
ap-7623	106	61	−∂2β	−∂2β	ADJ
ap-7623	106	62	δπ	δπ	NOUN
ap-7623	106	63	=	=	SYM
ap-7623	106	64	−iβ(∂0φ∗	−iβ(∂0φ∗	NOUN
ap-7623	106	65	)	)	PUNCT
ap-7623	106	66	−	−	PROPN
ap-7623	106	67	eβa0φ∗	eβa0φ∗	NOUN
ap-7623	106	68	+	+	CCONJ
ap-7623	106	69	i(e	i(e	PROPN
ap-7623	106	70	−	−	NOUN
ap-7623	106	71	1)(∂0β)φ∗	1)(∂0β)φ∗	NUM
ap-7623	106	72	δπ∗	δπ∗	NOUN
ap-7623	106	73	=	=	SYM
ap-7623	106	74	iβ(∂0φ	iβ(∂0φ	NOUN
ap-7623	106	75	)	)	PUNCT
ap-7623	106	76	−	−	PROPN
ap-7623	106	77	eβa0φ	eβa0φ	PROPN
ap-7623	106	78	−	−	PROPN
ap-7623	106	79	i(e	i(e	PROPN
ap-7623	106	80	−	−	PROPN
ap-7623	106	81	1)(∂0β)φ	1)(∂0β)φ	NUM
ap-7623	106	82	δe1	δe1	NOUN
ap-7623	106	83	=	=	PRON
ap-7623	106	84	−κ	−κ	VERB
ap-7623	106	85	2	2	NUM
ap-7623	106	86	∂2β	∂2β	ADJ
ap-7623	106	87	;	;	PUNCT
ap-7623	106	88	δe2	δe2	X
ap-7623	106	89	=	=	SYM
ap-7623	106	90	κ	κ	PROPN
ap-7623	106	91	2	2	NUM
ap-7623	106	92	∂1β	∂1β	NOUN
ap-7623	106	93	;	;	PUNCT
ap-7623	106	94	δu	δu	X
ap-7623	106	95	=	=	PUNCT
ap-7623	106	96	−∂0∂0β	−∂0∂0β	ADV
ap-7623	106	97	.	.	PUNCT
ap-7623	107	1	(	(	PUNCT
ap-7623	107	2	14	14	NUM
ap-7623	107	3	)	)	PUNCT
ap-7623	107	4	here	here	ADV
ap-7623	107	5	,	,	PUNCT
ap-7623	107	6	β	β	X
ap-7623	107	7	is	be	AUX
ap-7623	107	8	the	the	DET
ap-7623	107	9	gauge	gauge	ADJ
ap-7623	107	10	parameter	parameter	NOUN
ap-7623	107	11	β	β	X
ap-7623	107	12	≡	≡	PROPN
ap-7623	107	13	β(xµ	β(xµ	NUM
ap-7623	107	14	)	)	PUNCT
ap-7623	107	15	and	and	CCONJ
ap-7623	107	16	the	the	DET
ap-7623	107	17	vector	vector	NOUN
ap-7623	107	18	gauge	gauge	NOUN
ap-7623	107	19	current	current	ADJ
ap-7623	107	20	satisfies	satisfie	NOUN
ap-7623	107	21	:	:	PUNCT
ap-7623	107	22	∂µjµ	∂µjµ	X
ap-7623	107	23	=	=	SYM
ap-7623	107	24	0	0	X
ap-7623	107	25	.	.	PUNCT
ap-7623	108	1	the	the	DET
ap-7623	108	2	components	component	NOUN
ap-7623	108	3	of	of	ADP
ap-7623	108	4	jµ	jµ	PROPN
ap-7623	108	5	are	be	AUX
ap-7623	108	6	:	:	PUNCT
ap-7623	108	7	j0	j0	PROPN
ap-7623	108	8	=	=	SYM
ap-7623	108	9	j0	j0	PROPN
ap-7623	108	10	=	=	SYM
ap-7623	108	11	(	(	PUNCT
ap-7623	108	12	iβφ	iβφ	PROPN
ap-7623	108	13	)	)	PUNCT
ap-7623	108	14	[	[	PUNCT
ap-7623	108	15	∂0φ∗	∂0φ∗	ADP
ap-7623	108	16	−	−	PROPN
ap-7623	109	1	i	i	PRON
ap-7623	109	2	ea0φ∗	ea0φ∗	NOUN
ap-7623	109	3	]	]	PUNCT
ap-7623	109	4	−	−	PROPN
ap-7623	109	5	(	(	PUNCT
ap-7623	109	6	iβφ∗	iβφ∗	PROPN
ap-7623	109	7	)	)	PUNCT
ap-7623	109	8	[	[	PUNCT
ap-7623	109	9	∂0φ	∂0φ	NOUN
ap-7623	109	10	+	+	CCONJ
ap-7623	109	11	i	i	NOUN
ap-7623	109	12	ea0φ	ea0φ	PROPN
ap-7623	109	13	]	]	PUNCT
ap-7623	109	14	−	−	PROPN
ap-7623	109	15	(	(	PUNCT
ap-7623	109	16	∂1β	∂1β	NOUN
ap-7623	109	17	)	)	PUNCT
ap-7623	109	18	f01	f01	NOUN
ap-7623	109	19	−	−	PROPN
ap-7623	109	20	(	(	PUNCT
ap-7623	109	21	∂2β	∂2β	ADJ
ap-7623	109	22	)	)	PUNCT
ap-7623	109	23	f02	f02	NOUN
ap-7623	109	24	−	−	PROPN
ap-7623	109	25	κ	κ	NOUN
ap-7623	109	26	2	2	NUM
ap-7623	109	27	[	[	PUNCT
ap-7623	109	28	(	(	PUNCT
ap-7623	109	29	∂1β)a2	∂1β)a2	NOUN
ap-7623	109	30	−	−	PROPN
ap-7623	109	31	(	(	PUNCT
ap-7623	109	32	∂2β)a1	∂2β)a1	PROPN
ap-7623	109	33	]	]	PUNCT
ap-7623	109	34	j1	j1	PROPN
ap-7623	109	35	=	=	SYM
ap-7623	109	36	−j1	−j1	PROPN
ap-7623	109	37	=	=	SYM
ap-7623	109	38	(	(	PUNCT
ap-7623	109	39	iβφ	iβφ	PROPN
ap-7623	109	40	)	)	PUNCT
ap-7623	109	41	[	[	PUNCT
ap-7623	109	42	−	−	NOUN
ap-7623	109	43	∂1φ∗	∂1φ∗	NOUN
ap-7623	110	1	+	+	CCONJ
ap-7623	110	2	i	i	PRON
ap-7623	110	3	ea1φ∗	ea1φ∗	VERB
ap-7623	110	4	]	]	PUNCT
ap-7623	111	1	−	−	PROPN
ap-7623	111	2	(	(	PUNCT
ap-7623	111	3	iβφ∗	iβφ∗	PROPN
ap-7623	111	4	)	)	PUNCT
ap-7623	111	5	[	[	PUNCT
ap-7623	111	6	−	−	PROPN
ap-7623	111	7	∂1φ	∂1φ	VERB
ap-7623	111	8	−	−	PROPN
ap-7623	111	9	i	i	PRON
ap-7623	111	10	ea1φ	ea1φ	VERB
ap-7623	111	11	]	]	PUNCT
ap-7623	111	12	−	−	PROPN
ap-7623	111	13	(	(	PUNCT
ap-7623	111	14	∂0β	∂0β	NOUN
ap-7623	111	15	)	)	PUNCT
ap-7623	111	16	f10	f10	NOUN
ap-7623	111	17	−	−	PROPN
ap-7623	111	18	(	(	PUNCT
ap-7623	111	19	∂2β	∂2β	ADJ
ap-7623	111	20	)	)	PUNCT
ap-7623	111	21	f21	f21	NOUN
ap-7623	111	22	+	+	CCONJ
ap-7623	111	23	κ	κ	PROPN
ap-7623	111	24	2	2	NUM
ap-7623	111	25	[	[	PUNCT
ap-7623	111	26	(	(	PUNCT
ap-7623	111	27	∂0β)a2	∂0β)a2	INTJ
ap-7623	111	28	−	−	PROPN
ap-7623	111	29	(	(	PUNCT
ap-7623	111	30	∂2β)a0	∂2β)a0	PROPN
ap-7623	111	31	]	]	X
ap-7623	112	1	j2	j2	PROPN
ap-7623	112	2	=	=	PUNCT
ap-7623	112	3	−j2	−j2	PROPN
ap-7623	112	4	=	=	PUNCT
ap-7623	112	5	(	(	PUNCT
ap-7623	112	6	iβφ	iβφ	PROPN
ap-7623	112	7	)	)	PUNCT
ap-7623	112	8	[	[	PUNCT
ap-7623	112	9	−	−	X
ap-7623	112	10	∂2φ∗	∂2φ∗	X
ap-7623	113	1	+	+	CCONJ
ap-7623	113	2	i	i	PRON
ap-7623	113	3	ea2φ∗	ea2φ∗	NOUN
ap-7623	113	4	]	]	PUNCT
ap-7623	114	1	−	−	PROPN
ap-7623	114	2	(	(	PUNCT
ap-7623	114	3	iβφ∗	iβφ∗	PROPN
ap-7623	114	4	)	)	PUNCT
ap-7623	114	5	[	[	PUNCT
ap-7623	114	6	−	−	NOUN
ap-7623	114	7	∂2φ	∂2φ	NOUN
ap-7623	114	8	−	−	PROPN
ap-7623	115	1	i	i	PRON
ap-7623	115	2	ea2φ	ea2φ	VERB
ap-7623	115	3	]	]	PUNCT
ap-7623	115	4	−	−	PROPN
ap-7623	115	5	(	(	PUNCT
ap-7623	115	6	∂0β	∂0β	NOUN
ap-7623	115	7	)	)	PUNCT
ap-7623	115	8	f20	f20	NOUN
ap-7623	115	9	−	−	PROPN
ap-7623	115	10	(	(	PUNCT
ap-7623	115	11	∂1β	∂1β	NOUN
ap-7623	115	12	)	)	PUNCT
ap-7623	115	13	f12	f12	NOUN
ap-7623	115	14	−	−	PROPN
ap-7623	115	15	κ	κ	NOUN
ap-7623	115	16	2	2	NUM
ap-7623	115	17	[	[	PUNCT
ap-7623	115	18	(	(	PUNCT
ap-7623	115	19	∂0β)a1	∂0β)a1	PROPN
ap-7623	115	20	−	−	PROPN
ap-7623	115	21	(	(	PUNCT
ap-7623	115	22	∂1β)a0	∂1β)a0	NOUN
ap-7623	115	23	]	]	PUNCT
ap-7623	115	24	.	.	PUNCT
ap-7623	116	1	(	(	PUNCT
ap-7623	116	2	15	15	NUM
ap-7623	116	3	)	)	PUNCT
ap-7623	116	4	for	for	ADP
ap-7623	116	5	quantizing	quantize	VERB
ap-7623	116	6	the	the	DET
ap-7623	116	7	theory	theory	NOUN
ap-7623	116	8	using	use	VERB
ap-7623	116	9	dirac	dirac	NOUN
ap-7623	116	10	’s	’s	PART
ap-7623	116	11	procedure	procedure	NOUN
ap-7623	116	12	we	we	PRON
ap-7623	116	13	choose	choose	VERB
ap-7623	116	14	the	the	DET
ap-7623	116	15	following	follow	VERB
ap-7623	116	16	two	two	NUM
ap-7623	116	17	gauge	gauge	ADV
ap-7623	116	18	-	-	PUNCT
ap-7623	116	19	fixing	fix	VERB
ap-7623	116	20	conditions	condition	NOUN
ap-7623	116	21	(	(	PUNCT
ap-7623	116	22	gfc	gfc	NOUN
ap-7623	116	23	’s	’s	PART
ap-7623	116	24	):	):	PUNCT
ap-7623	116	25	ξ1	ξ1	PROPN
ap-7623	116	26	=	=	PUNCT
ap-7623	116	27	π	π	PROPN
ap-7623	116	28	≈	≈	PROPN
ap-7623	116	29	0	0	NUM
ap-7623	116	30	ξ2	ξ2	NOUN
ap-7623	116	31	=	=	SYM
ap-7623	116	32	a0	a0	PROPN
ap-7623	116	33	≈	≈	PROPN
ap-7623	116	34	0	0	PROPN
ap-7623	116	35	.	.	PUNCT
ap-7623	117	1	(	(	PUNCT
ap-7623	117	2	16	16	NUM
ap-7623	117	3	)	)	PUNCT
ap-7623	117	4	here	here	ADV
ap-7623	117	5	the	the	DET
ap-7623	117	6	gauge	gauge	NOUN
ap-7623	117	7	a0	a0	PROPN
ap-7623	118	1	≈	≈	PROPN
ap-7623	118	2	0	0	NUM
ap-7623	118	3	represents	represent	VERB
ap-7623	118	4	the	the	DET
ap-7623	118	5	time	time	NOUN
ap-7623	118	6	-	-	PUNCT
ap-7623	118	7	axial	axial	ADJ
ap-7623	118	8	or	or	CCONJ
ap-7623	118	9	temporal	temporal	ADJ
ap-7623	118	10	gauge	gauge	NOUN
ap-7623	118	11	and	and	CCONJ
ap-7623	118	12	the	the	DET
ap-7623	118	13	gauge	gauge	NOUN
ap-7623	118	14	π	π	PROPN
ap-7623	118	15	≈	≈	PROPN
ap-7623	118	16	0	0	NUM
ap-7623	118	17	represents	represent	VERB
ap-7623	118	18	the	the	DET
ap-7623	118	19	coulomb	coulomb	NOUN
ap-7623	118	20	gauge	gauge	NOUN
ap-7623	118	21	.	.	PUNCT
ap-7623	119	1	these	these	DET
ap-7623	119	2	gauges	gauge	NOUN
ap-7623	119	3	are	be	AUX
ap-7623	119	4	acceptable	acceptable	ADJ
ap-7623	119	5	and	and	CCONJ
ap-7623	119	6	consistent	consistent	ADJ
ap-7623	119	7	with	with	ADP
ap-7623	119	8	our	our	PRON
ap-7623	119	9	quantization	quantization	NOUN
ap-7623	119	10	procedure	procedure	NOUN
ap-7623	119	11	and	and	CCONJ
ap-7623	119	12	also	also	ADV
ap-7623	119	13	physically	physically	ADV
ap-7623	119	14	more	more	ADV
ap-7623	119	15	interesting	interesting	ADJ
ap-7623	119	16	.	.	PUNCT
ap-7623	120	1	corresponding	correspond	VERB
ap-7623	120	2	to	to	ADP
ap-7623	120	3	this	this	DET
ap-7623	120	4	set	set	NOUN
ap-7623	120	5	of	of	ADP
ap-7623	120	6	gauge	gauge	NOUN
ap-7623	120	7	fixing	fixing	NOUN
ap-7623	120	8	conditions	condition	NOUN
ap-7623	120	9	the	the	DET
ap-7623	120	10	total	total	ADJ
ap-7623	120	11	set	set	NOUN
ap-7623	120	12	of	of	ADP
ap-7623	120	13	constraints	constraint	NOUN
ap-7623	120	14	now	now	ADV
ap-7623	120	15	becomes	becomes	AUX
ap-7623	120	16	:	:	PUNCT
ap-7623	120	17	χ1	χ1	NOUN
ap-7623	120	18	=	=	SYM
ap-7623	120	19	π0	π0	NOUN
ap-7623	120	20	≈	≈	PROPN
ap-7623	120	21	0	0	NUM
ap-7623	120	22	χ2	χ2	NOUN
ap-7623	120	23	=	=	PUNCT
ap-7623	120	24	[	[	PUNCT
ap-7623	120	25	ie(πφ	ie(πφ	PROPN
ap-7623	120	26	−	−	NOUN
ap-7623	120	27	π∗φ∗	π∗φ∗	NOUN
ap-7623	120	28	)	)	PUNCT
ap-7623	121	1	+	+	CCONJ
ap-7623	121	2	(	(	PUNCT
ap-7623	121	3	∂1e1	∂1e1	X
ap-7623	121	4	+	+	NUM
ap-7623	121	5	∂2e2	∂2e2	PROPN
ap-7623	121	6	)	)	PUNCT
ap-7623	122	1	+	+	CCONJ
ap-7623	122	2	κ	κ	NOUN
ap-7623	122	3	2	2	NUM
ap-7623	122	4	(	(	PUNCT
ap-7623	122	5	∂1a2	∂1a2	INTJ
ap-7623	122	6	−	−	NOUN
ap-7623	122	7	∂2a1	∂2a1	NUM
ap-7623	122	8	)	)	PUNCT
ap-7623	122	9	]	]	PUNCT
ap-7623	123	1	≈	≈	PROPN
ap-7623	123	2	0	0	NUM
ap-7623	123	3	χ3	χ3	NOUN
ap-7623	123	4	=	=	SYM
ap-7623	123	5	ξ1	ξ1	NOUN
ap-7623	123	6	=	=	SYM
ap-7623	123	7	π	π	PROPN
ap-7623	123	8	≈	≈	PROPN
ap-7623	123	9	0	0	NUM
ap-7623	123	10	χ4	χ4	NOUN
ap-7623	123	11	=	=	SYM
ap-7623	123	12	ξ2	ξ2	NOUN
ap-7623	123	13	=	=	PROPN
ap-7623	123	14	a0	a0	PROPN
ap-7623	123	15	≈	≈	PROPN
ap-7623	123	16	0	0	NUM
ap-7623	123	17	.	.	PUNCT
ap-7623	124	1	(	(	PUNCT
ap-7623	124	2	17	17	NUM
ap-7623	124	3	)	)	PUNCT
ap-7623	124	4	the	the	DET
ap-7623	124	5	non	non	ADJ
ap-7623	124	6	-	-	ADJ
ap-7623	124	7	vanishing	vanishing	ADJ
ap-7623	124	8	matrix	matrix	NOUN
ap-7623	124	9	elements	element	NOUN
ap-7623	124	10	of	of	ADP
ap-7623	124	11	the	the	DET
ap-7623	124	12	matrix	matrix	NOUN
ap-7623	124	13	rαβ	rαβ	ADP
ap-7623	124	14	(:	(:	NOUN
ap-7623	124	15	=	=	SYM
ap-7623	124	16	{	{	PUNCT
ap-7623	124	17	χ1	χ1	NOUN
ap-7623	124	18	,	,	PUNCT
ap-7623	124	19	χ2}p	χ2}p	NOUN
ap-7623	124	20	)	)	PUNCT
ap-7623	124	21	of	of	ADP
ap-7623	124	22	the	the	DET
ap-7623	124	23	equal	equal	ADJ
ap-7623	124	24	-	-	PUNCT
ap-7623	124	25	time	time	NOUN
ap-7623	124	26	poisson	poisson	NOUN
ap-7623	124	27	brackets	bracket	NOUN
ap-7623	124	28	of	of	ADP
ap-7623	124	29	the	the	DET
ap-7623	124	30	above	above	ADJ
ap-7623	124	31	constraints	constraint	NOUN
ap-7623	124	32	are	be	AUX
ap-7623	124	33	:	:	PUNCT
ap-7623	124	34	r14	r14	NOUN
ap-7623	124	35	=	=	SYM
ap-7623	124	36	−r41	−r41	NOUN
ap-7623	124	37	=	=	SYM
ap-7623	124	38	−	−	PROPN
ap-7623	124	39	δ(x1	δ(x1	ADJ
ap-7623	124	40	−	−	PROPN
ap-7623	124	41	y1)δ(x2	y1)δ(x2	NOUN
ap-7623	124	42	−	−	PROPN
ap-7623	124	43	y2	y2	PROPN
ap-7623	124	44	)	)	PUNCT
ap-7623	124	45	r23	r23	NOUN
ap-7623	125	1	=	=	SYM
ap-7623	125	2	−r32	−r32	PROPN
ap-7623	126	1	=	=	NOUN
ap-7623	126	2	ieπ	ieπ	NOUN
ap-7623	126	3	δ(x1	δ(x1	ADJ
ap-7623	126	4	−	−	PROPN
ap-7623	126	5	y1)δ(x2	y1)δ(x2	NOUN
ap-7623	126	6	−	−	PROPN
ap-7623	126	7	y2	y2	PROPN
ap-7623	126	8	)	)	PUNCT
ap-7623	126	9	.	.	PUNCT
ap-7623	127	1	(	(	PUNCT
ap-7623	127	2	18	18	NUM
ap-7623	127	3	)	)	PUNCT
ap-7623	127	4	the	the	DET
ap-7623	127	5	above	above	ADJ
ap-7623	127	6	matrix	matrix	NOUN
ap-7623	127	7	is	be	AUX
ap-7623	127	8	nonsingular	nonsingular	ADJ
ap-7623	127	9	and	and	CCONJ
ap-7623	127	10	the	the	DET
ap-7623	127	11	set	set	NOUN
ap-7623	127	12	of	of	ADP
ap-7623	127	13	constraints	constraint	NOUN
ap-7623	127	14	χi	χi	NOUN
ap-7623	127	15	;	;	PUNCT
ap-7623	127	16	i	i	NOUN
ap-7623	127	17	=	=	NOUN
ap-7623	127	18	1	1	NUM
ap-7623	127	19	,	,	PUNCT
ap-7623	127	20	2	2	NUM
ap-7623	127	21	,	,	PUNCT
ap-7623	127	22	3	3	NUM
ap-7623	127	23	,	,	PUNCT
ap-7623	127	24	4	4	NUM
ap-7623	127	25	is	be	AUX
ap-7623	127	26	now	now	ADV
ap-7623	127	27	second	second	ADJ
ap-7623	127	28	class	class	NOUN
ap-7623	127	29	and	and	CCONJ
ap-7623	127	30	the	the	DET
ap-7623	127	31	theory	theory	NOUN
ap-7623	127	32	is	be	AUX
ap-7623	127	33	a	a	DET
ap-7623	127	34	gauge	gauge	ADJ
ap-7623	127	35	non	non	ADJ
ap-7623	127	36	-	-	ADJ
ap-7623	127	37	invariant	invariant	ADJ
ap-7623	127	38	theory	theory	NOUN
ap-7623	127	39	.	.	PUNCT
ap-7623	128	1	the	the	DET
ap-7623	128	2	nonvanishing	nonvanishe	VERB
ap-7623	128	3	matrix	matrix	NOUN
ap-7623	128	4	elements	element	NOUN
ap-7623	128	5	of	of	ADP
ap-7623	128	6	the	the	DET
ap-7623	128	7	matrix	matrix	NOUN
ap-7623	128	8	r−1	r−1	PROPN
ap-7623	129	1	αβ	αβ	INTJ
ap-7623	129	2	(	(	PUNCT
ap-7623	129	3	which	which	DET
ap-7623	129	4	87	87	NUM
ap-7623	129	5	u.	u.	NOUN
ap-7623	129	6	kulshreshtha	kulshreshtha	PROPN
ap-7623	129	7	,	,	PUNCT
ap-7623	129	8	d.	d.	PROPN
ap-7623	129	9	s.	s.	PROPN
ap-7623	129	10	kulshreshtha	kulshreshtha	PROPN
ap-7623	129	11	,	,	PUNCT
ap-7623	129	12	b.	b.	PROPN
ap-7623	129	13	sihag	sihag	PROPN
ap-7623	129	14	acta	acta	PROPN
ap-7623	129	15	polytechnica	polytechnica	PROPN
ap-7623	129	16	is	be	AUX
ap-7623	129	17	the	the	DET
ap-7623	129	18	inverse	inverse	NOUN
ap-7623	129	19	of	of	ADP
ap-7623	129	20	the	the	DET
ap-7623	129	21	matrix	matrix	NOUN
ap-7623	129	22	rαβ	rαβ	NOUN
ap-7623	129	23	)	)	PUNCT
ap-7623	129	24	are	be	AUX
ap-7623	129	25	given	give	VERB
ap-7623	129	26	by	by	ADP
ap-7623	129	27	:	:	PUNCT
ap-7623	129	28	r−1	r−1	PROPN
ap-7623	129	29	14	14	NUM
ap-7623	129	30	=	=	SYM
ap-7623	129	31	−r−1	−r−1	NUM
ap-7623	129	32	41	41	NUM
ap-7623	129	33	=	=	NOUN
ap-7623	129	34	δ(x1	δ(x1	ADJ
ap-7623	129	35	−	−	PROPN
ap-7623	129	36	y1)δ(x2	y1)δ(x2	NOUN
ap-7623	129	37	−	−	PROPN
ap-7623	129	38	y2	y2	PROPN
ap-7623	129	39	)	)	PUNCT
ap-7623	129	40	(	(	PUNCT
ap-7623	129	41	19	19	NUM
ap-7623	129	42	)	)	PUNCT
ap-7623	129	43	(	(	PUNCT
ap-7623	129	44	eπ)r−1	eπ)r−1	PROPN
ap-7623	129	45	23	23	NUM
ap-7623	130	1	=	=	NOUN
ap-7623	130	2	−(eπ)r−1	−(eπ)r−1	NOUN
ap-7623	130	3	32	32	NUM
ap-7623	131	1	=	=	NOUN
ap-7623	131	2	i	i	PRON
ap-7623	131	3	δ(x1	δ(x1	VERB
ap-7623	131	4	−	−	PROPN
ap-7623	131	5	y1)δ(x2	y1)δ(x2	NOUN
ap-7623	131	6	−	−	PROPN
ap-7623	131	7	y2	y2	PROPN
ap-7623	131	8	)	)	PUNCT
ap-7623	131	9	.	.	PUNCT
ap-7623	132	1	following	follow	VERB
ap-7623	132	2	the	the	DET
ap-7623	132	3	standard	standard	ADJ
ap-7623	132	4	dirac	dirac	NOUN
ap-7623	132	5	quantisation	quantisation	NOUN
ap-7623	132	6	procedure	procedure	NOUN
ap-7623	132	7	,	,	PUNCT
ap-7623	132	8	the	the	DET
ap-7623	132	9	non	non	ADJ
ap-7623	132	10	-	-	ADJ
ap-7623	132	11	vanishing	vanishing	ADJ
ap-7623	132	12	equal	equal	ADJ
ap-7623	132	13	time	time	NOUN
ap-7623	132	14	dirac	dirac	NOUN
ap-7623	132	15	brackets	bracket	NOUN
ap-7623	132	16	(	(	PUNCT
ap-7623	132	17	db	db	PROPN
ap-7623	132	18	’s	’s	PART
ap-7623	132	19	)	)	PUNCT
ap-7623	132	20	of	of	ADP
ap-7623	132	21	the	the	DET
ap-7623	132	22	theory	theory	NOUN
ap-7623	132	23	are	be	AUX
ap-7623	132	24	obtained	obtain	VERB
ap-7623	132	25	as	as	ADP
ap-7623	132	26	:	:	PUNCT
ap-7623	132	27	(	(	PUNCT
ap-7623	132	28	π	π	NOUN
ap-7623	132	29	)	)	PUNCT
ap-7623	132	30	{	{	PUNCT
ap-7623	132	31	π∗(x0	π∗(x0	PROPN
ap-7623	132	32	,	,	PUNCT
ap-7623	132	33	x1	x1	PROPN
ap-7623	132	34	,	,	PUNCT
ap-7623	132	35	x2	x2	PROPN
ap-7623	132	36	)	)	PUNCT
ap-7623	132	37	,	,	PUNCT
ap-7623	132	38	φ(x0	φ(x0	NOUN
ap-7623	132	39	,	,	PUNCT
ap-7623	132	40	y1	y1	NOUN
ap-7623	132	41	,	,	PUNCT
ap-7623	132	42	y2)}d	y2)}d	NOUN
ap-7623	132	43	=	=	PUNCT
ap-7623	133	1	(	(	PUNCT
ap-7623	133	2	−π∗)δ(x1	−π∗)δ(x1	NUM
ap-7623	133	3	−	−	PROPN
ap-7623	133	4	y1)δ(x2	y1)δ(x2	NOUN
ap-7623	133	5	−	−	PROPN
ap-7623	133	6	y2	y2	PROPN
ap-7623	133	7	)	)	PUNCT
ap-7623	133	8	{	{	PUNCT
ap-7623	133	9	π∗(x0	π∗(x0	PROPN
ap-7623	133	10	,	,	PUNCT
ap-7623	133	11	x1	x1	PROPN
ap-7623	133	12	,	,	PUNCT
ap-7623	133	13	x2	x2	PROPN
ap-7623	133	14	)	)	PUNCT
ap-7623	133	15	,	,	PUNCT
ap-7623	133	16	φ∗(x0	φ∗(x0	PROPN
ap-7623	133	17	,	,	PUNCT
ap-7623	133	18	y1	y1	NOUN
ap-7623	133	19	,	,	PUNCT
ap-7623	133	20	y2)}d	y2)}d	NOUN
ap-7623	133	21	=	=	PUNCT
ap-7623	133	22	{	{	PUNCT
ap-7623	133	23	π∗(x0	π∗(x0	PROPN
ap-7623	133	24	,	,	PUNCT
ap-7623	133	25	x1	x1	PROPN
ap-7623	133	26	,	,	PUNCT
ap-7623	133	27	x2	x2	PROPN
ap-7623	133	28	)	)	PUNCT
ap-7623	133	29	,	,	PUNCT
ap-7623	133	30	φ∗(x0	φ∗(x0	PROPN
ap-7623	133	31	,	,	PUNCT
ap-7623	133	32	y1	y1	NOUN
ap-7623	133	33	,	,	PUNCT
ap-7623	133	34	y2)}p	y2)}p	PROPN
ap-7623	133	35	=	=	SYM
ap-7623	134	1	−δ(x1	−δ(x1	PROPN
ap-7623	134	2	−	−	PROPN
ap-7623	134	3	y1)δ(x2	y1)δ(x2	NOUN
ap-7623	134	4	−	−	PROPN
ap-7623	134	5	y2	y2	PROPN
ap-7623	134	6	)	)	PUNCT
ap-7623	134	7	(	(	PUNCT
ap-7623	134	8	ieπ	ieπ	PROPN
ap-7623	134	9	)	)	PUNCT
ap-7623	134	10	{	{	PUNCT
ap-7623	134	11	e1(x0	e1(x0	NOUN
ap-7623	134	12	,	,	PUNCT
ap-7623	134	13	x1	x1	PROPN
ap-7623	134	14	,	,	PUNCT
ap-7623	134	15	x2	x2	PROPN
ap-7623	134	16	)	)	PUNCT
ap-7623	134	17	,	,	PUNCT
ap-7623	134	18	φ(x0	φ(x0	NOUN
ap-7623	134	19	,	,	PUNCT
ap-7623	134	20	y1	y1	NOUN
ap-7623	134	21	,	,	PUNCT
ap-7623	134	22	y2)}d	y2)}d	NOUN
ap-7623	134	23	=	=	PUNCT
ap-7623	134	24	(	(	PUNCT
ap-7623	134	25	κ	κ	NOUN
ap-7623	134	26	2	2	NUM
ap-7623	134	27	)	)	PUNCT
ap-7623	134	28	δ(x1	δ(x1	ADJ
ap-7623	134	29	−	−	PROPN
ap-7623	134	30	y1	y1	PROPN
ap-7623	134	31	)	)	PUNCT
ap-7623	134	32	∂2δ(x2	∂2δ(x2	NOUN
ap-7623	134	33	−	−	PROPN
ap-7623	134	34	y2	y2	PROPN
ap-7623	134	35	)	)	PUNCT
ap-7623	134	36	{	{	PUNCT
ap-7623	134	37	e1(x0	e1(x0	NOUN
ap-7623	134	38	,	,	PUNCT
ap-7623	134	39	x1	x1	PROPN
ap-7623	134	40	,	,	PUNCT
ap-7623	134	41	x2	x2	PROPN
ap-7623	134	42	)	)	PUNCT
ap-7623	134	43	,	,	PUNCT
ap-7623	134	44	a1(x0	a1(x0	PROPN
ap-7623	134	45	,	,	PUNCT
ap-7623	134	46	y1	y1	INTJ
ap-7623	134	47	,	,	PUNCT
ap-7623	134	48	y2)}d	y2)}d	NOUN
ap-7623	134	49	=	=	SYM
ap-7623	134	50	{	{	PUNCT
ap-7623	134	51	e1(x0	e1(x0	NOUN
ap-7623	134	52	,	,	PUNCT
ap-7623	134	53	x1	x1	PROPN
ap-7623	134	54	,	,	PUNCT
ap-7623	134	55	x2	x2	PROPN
ap-7623	134	56	)	)	PUNCT
ap-7623	134	57	,	,	PUNCT
ap-7623	134	58	a1(x0	a1(x0	PROPN
ap-7623	134	59	,	,	PUNCT
ap-7623	134	60	y1	y1	INTJ
ap-7623	134	61	,	,	PUNCT
ap-7623	134	62	y2)}p	y2)}p	PROPN
ap-7623	134	63	=	=	PUNCT
ap-7623	135	1	−	−	PROPN
ap-7623	135	2	δ(x1	δ(x1	ADJ
ap-7623	135	3	−	−	PROPN
ap-7623	135	4	y1)δ(x2	y1)δ(x2	NOUN
ap-7623	135	5	−	−	PROPN
ap-7623	135	6	y2	y2	PROPN
ap-7623	135	7	)	)	PUNCT
ap-7623	135	8	(	(	PUNCT
ap-7623	135	9	ieπ	ieπ	PROPN
ap-7623	135	10	)	)	PUNCT
ap-7623	135	11	{	{	PUNCT
ap-7623	135	12	e2(x0	e2(x0	NOUN
ap-7623	135	13	,	,	PUNCT
ap-7623	135	14	x1	x1	PROPN
ap-7623	135	15	,	,	PUNCT
ap-7623	135	16	x2	x2	PROPN
ap-7623	135	17	)	)	PUNCT
ap-7623	135	18	,	,	PUNCT
ap-7623	135	19	φ(x0	φ(x0	NOUN
ap-7623	135	20	,	,	PUNCT
ap-7623	135	21	y1	y1	NOUN
ap-7623	135	22	,	,	PUNCT
ap-7623	135	23	y2)}d	y2)}d	NOUN
ap-7623	135	24	=	=	SYM
ap-7623	136	1	−	−	PROPN
ap-7623	136	2	(	(	PUNCT
ap-7623	136	3	κ	κ	NOUN
ap-7623	136	4	2	2	NUM
ap-7623	136	5	)	)	PUNCT
ap-7623	136	6	∂1δ(x1	∂1δ(x1	PROPN
ap-7623	136	7	−	−	PROPN
ap-7623	136	8	y1)δ(x2	y1)δ(x2	NOUN
ap-7623	136	9	−	−	PROPN
ap-7623	136	10	y2	y2	PROPN
ap-7623	136	11	)	)	PUNCT
ap-7623	136	12	{	{	PUNCT
ap-7623	136	13	e2(x0	e2(x0	NOUN
ap-7623	136	14	,	,	PUNCT
ap-7623	136	15	x1	x1	PROPN
ap-7623	136	16	,	,	PUNCT
ap-7623	136	17	x2	x2	PROPN
ap-7623	136	18	)	)	PUNCT
ap-7623	136	19	,	,	PUNCT
ap-7623	136	20	a2(x0	a2(x0	PROPN
ap-7623	136	21	,	,	PUNCT
ap-7623	136	22	y1	y1	PROPN
ap-7623	136	23	,	,	PUNCT
ap-7623	136	24	y2)}d	y2)}d	NOUN
ap-7623	136	25	=	=	PUNCT
ap-7623	136	26	{	{	PUNCT
ap-7623	136	27	e2(x0	e2(x0	NOUN
ap-7623	136	28	,	,	PUNCT
ap-7623	136	29	x1	x1	PROPN
ap-7623	136	30	,	,	PUNCT
ap-7623	136	31	x2	x2	PROPN
ap-7623	136	32	)	)	PUNCT
ap-7623	136	33	,	,	PUNCT
ap-7623	136	34	a2(x0	a2(x0	PROPN
ap-7623	136	35	,	,	PUNCT
ap-7623	136	36	y1	y1	PROPN
ap-7623	136	37	,	,	PUNCT
ap-7623	136	38	y2)}p	y2)}p	PROPN
ap-7623	137	1	=	=	SYM
ap-7623	137	2	−δ(x1	−δ(x1	PROPN
ap-7623	137	3	−	−	PROPN
ap-7623	137	4	y1)δ(x2	y1)δ(x2	NOUN
ap-7623	137	5	−	−	PROPN
ap-7623	137	6	y2	y2	PROPN
ap-7623	137	7	)	)	PUNCT
ap-7623	137	8	(	(	PUNCT
ap-7623	137	9	π	π	NOUN
ap-7623	137	10	)	)	PUNCT
ap-7623	137	11	{	{	PUNCT
ap-7623	137	12	φ(x0	φ(x0	NOUN
ap-7623	137	13	,	,	PUNCT
ap-7623	137	14	x1	x1	PROPN
ap-7623	137	15	,	,	PUNCT
ap-7623	137	16	x2	x2	PROPN
ap-7623	137	17	)	)	PUNCT
ap-7623	137	18	,	,	PUNCT
ap-7623	137	19	φ∗(x0	φ∗(x0	PROPN
ap-7623	137	20	,	,	PUNCT
ap-7623	137	21	y1	y1	NOUN
ap-7623	137	22	,	,	PUNCT
ap-7623	137	23	y2)}d	y2)}d	NOUN
ap-7623	137	24	=	=	PUNCT
ap-7623	138	1	(	(	PUNCT
ap-7623	138	2	−φ∗)δ(x1	−φ∗)δ(x1	INTJ
ap-7623	138	3	−	−	PROPN
ap-7623	138	4	y1)δ(x2	y1)δ(x2	NOUN
ap-7623	138	5	−	−	PROPN
ap-7623	138	6	y2	y2	PROPN
ap-7623	138	7	)	)	PUNCT
ap-7623	138	8	(	(	PUNCT
ap-7623	138	9	π	π	NOUN
ap-7623	138	10	)	)	PUNCT
ap-7623	138	11	{	{	PUNCT
ap-7623	138	12	φ(x0	φ(x0	NOUN
ap-7623	138	13	,	,	PUNCT
ap-7623	138	14	x1	x1	PROPN
ap-7623	138	15	,	,	PUNCT
ap-7623	138	16	x2	x2	PROPN
ap-7623	138	17	)	)	PUNCT
ap-7623	138	18	,	,	PUNCT
ap-7623	138	19	a0(x0	a0(x0	PROPN
ap-7623	138	20	,	,	PUNCT
ap-7623	138	21	y1	y1	NOUN
ap-7623	138	22	,	,	PUNCT
ap-7623	138	23	y2)}d	y2)}d	NOUN
ap-7623	138	24	=	=	SYM
ap-7623	138	25	(	(	PUNCT
ap-7623	138	26	φ	φ	NOUN
ap-7623	138	27	)	)	PUNCT
ap-7623	138	28	δ(x1	δ(x1	ADJ
ap-7623	138	29	−	−	PROPN
ap-7623	138	30	y1)δ(x2	y1)δ(x2	NOUN
ap-7623	138	31	−	−	PROPN
ap-7623	138	32	y2	y2	PROPN
ap-7623	138	33	)	)	PUNCT
ap-7623	138	34	(	(	PUNCT
ap-7623	138	35	ieπ	ieπ	PROPN
ap-7623	138	36	)	)	PUNCT
ap-7623	138	37	{	{	PUNCT
ap-7623	138	38	φ(x0	φ(x0	NOUN
ap-7623	138	39	,	,	PUNCT
ap-7623	138	40	x1	x1	PROPN
ap-7623	138	41	,	,	PUNCT
ap-7623	138	42	x2	x2	PROPN
ap-7623	138	43	)	)	PUNCT
ap-7623	138	44	,	,	PUNCT
ap-7623	138	45	a1(x0	a1(x0	PROPN
ap-7623	138	46	,	,	PUNCT
ap-7623	138	47	y1	y1	INTJ
ap-7623	138	48	,	,	PUNCT
ap-7623	138	49	y2)}d	y2)}d	NOUN
ap-7623	138	50	=	=	SYM
ap-7623	139	1	∂1δ(x1	∂1δ(x1	ADJ
ap-7623	139	2	−	−	PROPN
ap-7623	139	3	y1)δ(x2	y1)δ(x2	NOUN
ap-7623	139	4	−	−	PROPN
ap-7623	139	5	y2	y2	PROPN
ap-7623	139	6	)	)	PUNCT
ap-7623	139	7	(	(	PUNCT
ap-7623	139	8	ieπ	ieπ	PROPN
ap-7623	139	9	)	)	PUNCT
ap-7623	139	10	{	{	PUNCT
ap-7623	139	11	φ(x0	φ(x0	NOUN
ap-7623	139	12	,	,	PUNCT
ap-7623	139	13	x1	x1	PROPN
ap-7623	139	14	,	,	PUNCT
ap-7623	139	15	x2	x2	PROPN
ap-7623	139	16	)	)	PUNCT
ap-7623	139	17	,	,	PUNCT
ap-7623	139	18	a2(x0	a2(x0	PROPN
ap-7623	139	19	,	,	PUNCT
ap-7623	139	20	y1	y1	PROPN
ap-7623	139	21	,	,	PUNCT
ap-7623	139	22	y2)}d	y2)}d	NOUN
ap-7623	139	23	=	=	PUNCT
ap-7623	139	24	δ(x1	δ(x1	ADJ
ap-7623	139	25	−	−	PROPN
ap-7623	139	26	y1	y1	PROPN
ap-7623	139	27	)	)	PUNCT
ap-7623	139	28	∂2δ(x2	∂2δ(x2	NOUN
ap-7623	139	29	−	−	PROPN
ap-7623	139	30	y2	y2	PROPN
ap-7623	139	31	)	)	PUNCT
ap-7623	139	32	.	.	PUNCT
ap-7623	140	1	(	(	PUNCT
ap-7623	140	2	20	20	NUM
ap-7623	140	3	)	)	PUNCT
ap-7623	140	4	here	here	ADV
ap-7623	140	5	one	one	NUM
ap-7623	140	6	finds	find	VERB
ap-7623	140	7	that	that	SCONJ
ap-7623	140	8	the	the	DET
ap-7623	140	9	product	product	NOUN
ap-7623	140	10	of	of	ADP
ap-7623	140	11	the	the	DET
ap-7623	140	12	canonical	canonical	ADJ
ap-7623	140	13	variables	variable	NOUN
ap-7623	140	14	appear	appear	VERB
ap-7623	140	15	in	in	ADP
ap-7623	140	16	the	the	DET
ap-7623	140	17	expressions	expression	NOUN
ap-7623	140	18	of	of	ADP
ap-7623	140	19	the	the	DET
ap-7623	140	20	constraints	constraint	NOUN
ap-7623	140	21	as	as	ADV
ap-7623	140	22	well	well	ADV
ap-7623	140	23	as	as	ADP
ap-7623	140	24	in	in	ADP
ap-7623	140	25	the	the	DET
ap-7623	140	26	expressions	expression	NOUN
ap-7623	140	27	of	of	ADP
ap-7623	140	28	the	the	DET
ap-7623	140	29	db	db	PROPN
ap-7623	140	30	’s	’s	NOUN
ap-7623	140	31	and	and	CCONJ
ap-7623	140	32	therefore	therefore	ADV
ap-7623	140	33	for	for	ADP
ap-7623	140	34	achieving	achieve	VERB
ap-7623	140	35	the	the	DET
ap-7623	140	36	canonical	canonical	ADJ
ap-7623	140	37	quantisation	quantisation	NOUN
ap-7623	140	38	of	of	ADP
ap-7623	140	39	the	the	DET
ap-7623	140	40	theory	theory	NOUN
ap-7623	140	41	,	,	PUNCT
ap-7623	140	42	one	one	PRON
ap-7623	140	43	encounters	encounter	VERB
ap-7623	140	44	the	the	DET
ap-7623	140	45	problem	problem	NOUN
ap-7623	140	46	of	of	ADP
ap-7623	140	47	operator	operator	NOUN
ap-7623	140	48	ordering	ordering	NOUN
ap-7623	140	49	while	while	SCONJ
ap-7623	140	50	going	go	VERB
ap-7623	140	51	from	from	ADP
ap-7623	140	52	db	db	PROPN
ap-7623	140	53	’s	’s	ADV
ap-7623	140	54	to	to	ADP
ap-7623	140	55	the	the	DET
ap-7623	140	56	commutation	commutation	NOUN
ap-7623	140	57	relations	relation	NOUN
ap-7623	140	58	,	,	PUNCT
ap-7623	140	59	this	this	DET
ap-7623	140	60	problem	problem	NOUN
ap-7623	140	61	could	could	AUX
ap-7623	140	62	however	however	ADV
ap-7623	140	63	be	be	AUX
ap-7623	140	64	resolved	resolve	VERB
ap-7623	140	65	by	by	ADP
ap-7623	140	66	demanding	demand	VERB
ap-7623	140	67	that	that	SCONJ
ap-7623	140	68	all	all	DET
ap-7623	140	69	the	the	DET
ap-7623	140	70	fields	field	NOUN
ap-7623	140	71	and	and	CCONJ
ap-7623	140	72	the	the	DET
ap-7623	140	73	field	field	NOUN
ap-7623	140	74	momenta	momenta	NOUN
ap-7623	140	75	after	after	SCONJ
ap-7623	140	76	quantisation	quantisation	NOUN
ap-7623	140	77	become	become	VERB
ap-7623	140	78	hermitian	hermitian	ADJ
ap-7623	140	79	operators	operator	NOUN
ap-7623	140	80	and	and	CCONJ
ap-7623	140	81	that	that	SCONJ
ap-7623	140	82	all	all	DET
ap-7623	140	83	the	the	DET
ap-7623	140	84	canonical	canonical	ADJ
ap-7623	140	85	commutation	commutation	NOUN
ap-7623	140	86	relations	relation	NOUN
ap-7623	140	87	need	need	VERB
ap-7623	140	88	to	to	PART
ap-7623	140	89	be	be	AUX
ap-7623	140	90	consistent	consistent	ADJ
ap-7623	140	91	with	with	ADP
ap-7623	140	92	the	the	DET
ap-7623	140	93	hermiticity	hermiticity	NOUN
ap-7623	140	94	of	of	ADP
ap-7623	140	95	these	these	DET
ap-7623	140	96	operators	operator	NOUN
ap-7623	140	97	.	.	PUNCT
ap-7623	141	1	this	this	PRON
ap-7623	141	2	completes	complete	VERB
ap-7623	141	3	the	the	DET
ap-7623	141	4	hamiltonian	hamiltonian	ADJ
ap-7623	141	5	formulation	formulation	NOUN
ap-7623	141	6	of	of	ADP
ap-7623	141	7	the	the	DET
ap-7623	141	8	theory	theory	NOUN
ap-7623	141	9	under	under	ADP
ap-7623	141	10	the	the	DET
ap-7623	141	11	choosen	choosen	ADJ
ap-7623	141	12	gauge	gauge	NOUN
ap-7623	141	13	fixing	fix	VERB
ap-7623	141	14	conditions	condition	NOUN
ap-7623	141	15	.	.	PUNCT
ap-7623	142	1	it	it	PRON
ap-7623	142	2	may	may	AUX
ap-7623	142	3	be	be	AUX
ap-7623	142	4	worthwhile	worthwhile	ADJ
ap-7623	142	5	to	to	PART
ap-7623	142	6	mention	mention	VERB
ap-7623	142	7	here	here	ADV
ap-7623	142	8	that	that	SCONJ
ap-7623	142	9	our	our	PRON
ap-7623	142	10	choice	choice	NOUN
ap-7623	142	11	of	of	ADP
ap-7623	142	12	gfc	gfc	NOUN
ap-7623	142	13	’s	’s	PART
ap-7623	142	14	is	be	AUX
ap-7623	142	15	by	by	ADP
ap-7623	142	16	no	no	DET
ap-7623	142	17	means	mean	NOUN
ap-7623	142	18	unique	unique	ADJ
ap-7623	142	19	.	.	PUNCT
ap-7623	143	1	in	in	ADP
ap-7623	143	2	principle	principle	NOUN
ap-7623	143	3	,	,	PUNCT
ap-7623	143	4	one	one	PRON
ap-7623	143	5	can	can	AUX
ap-7623	143	6	choose	choose	VERB
ap-7623	143	7	any	any	DET
ap-7623	143	8	set	set	NOUN
ap-7623	143	9	of	of	ADP
ap-7623	143	10	gfc	gfc	NOUN
ap-7623	143	11	’s	’s	PART
ap-7623	143	12	that	that	PRON
ap-7623	143	13	would	would	AUX
ap-7623	143	14	convert	convert	VERB
ap-7623	143	15	the	the	DET
ap-7623	143	16	set	set	NOUN
ap-7623	143	17	of	of	ADP
ap-7623	143	18	constraints	constraint	NOUN
ap-7623	143	19	of	of	ADP
ap-7623	143	20	the	the	DET
ap-7623	143	21	theory	theory	NOUN
ap-7623	143	22	from	from	ADP
ap-7623	143	23	first	first	ADJ
ap-7623	143	24	-	-	PUNCT
ap-7623	143	25	class	class	NOUN
ap-7623	143	26	into	into	ADP
ap-7623	143	27	a	a	DET
ap-7623	143	28	set	set	NOUN
ap-7623	143	29	of	of	ADP
ap-7623	143	30	second	second	ADJ
ap-7623	143	31	-	-	PUNCT
ap-7623	143	32	class	class	NOUN
ap-7623	143	33	constraints	constraint	NOUN
ap-7623	143	34	.	.	PUNCT
ap-7623	144	1	however	however	ADV
ap-7623	144	2	,	,	PUNCT
ap-7623	144	3	it	it	PRON
ap-7623	144	4	is	be	AUX
ap-7623	144	5	better	well	ADJ
ap-7623	144	6	to	to	PART
ap-7623	144	7	choose	choose	VERB
ap-7623	144	8	the	the	DET
ap-7623	144	9	gfc	gfc	NOUN
ap-7623	144	10	’s	’s	NOUN
ap-7623	144	11	that	that	PRON
ap-7623	144	12	are	be	AUX
ap-7623	144	13	physically	physically	ADV
ap-7623	144	14	more	more	ADV
ap-7623	144	15	meaningful	meaningful	ADJ
ap-7623	144	16	and	and	CCONJ
ap-7623	144	17	nore	nore	ADV
ap-7623	144	18	relevant	relevant	ADJ
ap-7623	144	19	like	like	ADP
ap-7623	144	20	the	the	DET
ap-7623	144	21	ones	one	NOUN
ap-7623	144	22	that	that	PRON
ap-7623	144	23	we	we	PRON
ap-7623	144	24	have	have	AUX
ap-7623	144	25	choosen	choosen	VERB
ap-7623	144	26	.	.	PUNCT
ap-7623	145	1	in	in	ADP
ap-7623	145	2	our	our	PRON
ap-7623	145	3	case	case	NOUN
ap-7623	145	4	the	the	DET
ap-7623	145	5	gauge	gauge	NOUN
ap-7623	145	6	a0	a0	PROPN
ap-7623	145	7	≈	≈	PROPN
ap-7623	145	8	0	0	NUM
ap-7623	145	9	represents	represent	VERB
ap-7623	145	10	a	a	DET
ap-7623	145	11	time	time	NOUN
ap-7623	145	12	-	-	PUNCT
ap-7623	145	13	axial	axial	ADJ
ap-7623	145	14	or	or	CCONJ
ap-7623	145	15	temporal	temporal	ADJ
ap-7623	145	16	gauge	gauge	NOUN
ap-7623	145	17	and	and	CCONJ
ap-7623	145	18	the	the	DET
ap-7623	145	19	gauge	gauge	NOUN
ap-7623	145	20	π	π	PROPN
ap-7623	145	21	≈	≈	PROPN
ap-7623	145	22	0	0	NUM
ap-7623	145	23	represents	represent	VERB
ap-7623	145	24	a	a	DET
ap-7623	145	25	culomb	culomb	NOUN
ap-7623	145	26	gauge	gauge	NOUN
ap-7623	145	27	and	and	CCONJ
ap-7623	145	28	both	both	PRON
ap-7623	145	29	of	of	ADP
ap-7623	145	30	them	they	PRON
ap-7623	145	31	are	be	AUX
ap-7623	145	32	physically	physically	ADV
ap-7623	145	33	important	important	ADJ
ap-7623	145	34	gfc	gfc	NOUN
ap-7623	145	35	’s	’s	NOUN
ap-7623	145	36	.	.	PUNCT
ap-7623	146	1	another	another	DET
ap-7623	146	2	important	important	ADJ
ap-7623	146	3	point	point	NOUN
ap-7623	146	4	is	be	AUX
ap-7623	146	5	that	that	SCONJ
ap-7623	146	6	one	one	PRON
ap-7623	146	7	can	can	AUX
ap-7623	146	8	not	not	PART
ap-7623	146	9	choose	choose	VERB
ap-7623	146	10	covariant	covariant	PROPN
ap-7623	146	11	gfc	gfc	PROPN
ap-7623	146	12	’s	’	VERB
ap-7623	146	13	here	here	ADV
ap-7623	146	14	simply	simply	ADV
ap-7623	146	15	because	because	SCONJ
ap-7623	146	16	the	the	DET
ap-7623	146	17	constraints	constraint	NOUN
ap-7623	146	18	of	of	ADP
ap-7623	146	19	the	the	DET
ap-7623	146	20	theory	theory	NOUN
ap-7623	146	21	are	be	AUX
ap-7623	146	22	not	not	PART
ap-7623	146	23	covariant	covariant	ADJ
ap-7623	146	24	and	and	CCONJ
ap-7623	146	25	therefore	therefore	ADV
ap-7623	146	26	it	it	PRON
ap-7623	146	27	would	would	AUX
ap-7623	146	28	not	not	PART
ap-7623	146	29	work	work	VERB
ap-7623	146	30	.	.	PUNCT
ap-7623	147	1	in	in	ADP
ap-7623	147	2	path	path	NOUN
ap-7623	147	3	integral	integral	ADJ
ap-7623	147	4	quantization	quantization	NOUN
ap-7623	147	5	(	(	PUNCT
ap-7623	147	6	piq	piq	NOUN
ap-7623	147	7	)	)	PUNCT
ap-7623	147	8	[	[	X
ap-7623	147	9	23	23	NUM
ap-7623	147	10	]	]	PUNCT
ap-7623	147	11	,	,	PUNCT
ap-7623	147	12	transition	transition	NOUN
ap-7623	147	13	to	to	ADP
ap-7623	147	14	quantum	quantum	ADJ
ap-7623	147	15	theory	theory	NOUN
ap-7623	147	16	is	be	AUX
ap-7623	147	17	made	make	VERB
ap-7623	147	18	by	by	ADP
ap-7623	147	19	writing	write	VERB
ap-7623	147	20	the	the	DET
ap-7623	147	21	vacuum	vacuum	NOUN
ap-7623	147	22	to	to	PART
ap-7623	147	23	vacuum	vacuum	VERB
ap-7623	147	24	transition	transition	NOUN
ap-7623	147	25	amplitude	amplitude	NOUN
ap-7623	147	26	for	for	ADP
ap-7623	147	27	the	the	DET
ap-7623	147	28	theory	theory	NOUN
ap-7623	147	29	,	,	PUNCT
ap-7623	147	30	called	call	VERB
ap-7623	147	31	the	the	DET
ap-7623	147	32	generating	generating	ADJ
ap-7623	147	33	functional	functional	ADJ
ap-7623	147	34	z[jk	z[jk	NOUN
ap-7623	147	35	]	]	PUNCT
ap-7623	147	36	of	of	ADP
ap-7623	147	37	the	the	DET
ap-7623	147	38	theory	theory	NOUN
ap-7623	147	39	which	which	PRON
ap-7623	147	40	in	in	ADP
ap-7623	147	41	the	the	DET
ap-7623	147	42	presence	presence	NOUN
ap-7623	147	43	of	of	ADP
ap-7623	147	44	the	the	DET
ap-7623	147	45	external	external	ADJ
ap-7623	147	46	sources	source	NOUN
ap-7623	147	47	jk	jk	PROPN
ap-7623	147	48	for	for	ADP
ap-7623	147	49	the	the	DET
ap-7623	147	50	present	present	ADJ
ap-7623	147	51	theory	theory	NOUN
ap-7623	147	52	is	be	AUX
ap-7623	147	53	[	[	X
ap-7623	147	54	23	23	NUM
ap-7623	147	55	]	]	X
ap-7623	147	56	:	:	PUNCT
ap-7623	147	57	z[jk	z[jk	X
ap-7623	147	58	]	]	X
ap-7623	147	59	=	=	PUNCT
ap-7623	148	1	∫	∫	PROPN
ap-7623	149	1	[	[	X
ap-7623	149	2	dµ	dµ	X
ap-7623	149	3	]	]	X
ap-7623	149	4	exp	exp	NOUN
ap-7623	149	5	[	[	PUNCT
ap-7623	149	6	i	i	PRON
ap-7623	149	7	∫	∫	VERB
ap-7623	149	8	d3x	d3x	PROPN
ap-7623	149	9	[	[	X
ap-7623	149	10	jkφk	jkφk	NOUN
ap-7623	149	11	+	+	CCONJ
ap-7623	149	12	π∂0φ	π∂0φ	X
ap-7623	149	13	+	+	X
ap-7623	149	14	π∗∂0φ∗	π∗∂0φ∗	ADJ
ap-7623	149	15	+	+	ADJ
ap-7623	149	16	π0∂0a0	π0∂0a0	VERB
ap-7623	149	17	+	+	CCONJ
ap-7623	149	18	e1∂0a1	e1∂0a1	NOUN
ap-7623	149	19	+	+	ADJ
ap-7623	149	20	e2∂0a2	e2∂0a2	NOUN
ap-7623	149	21	+	+	PUNCT
ap-7623	149	22	πu∂0u	πu∂0u	PROPN
ap-7623	149	23	−	−	PROPN
ap-7623	149	24	ht	ht	X
ap-7623	149	25	]	]	PUNCT
ap-7623	149	26	]	]	PUNCT
ap-7623	149	27	.	.	PUNCT
ap-7623	150	1	(	(	PUNCT
ap-7623	150	2	21	21	NUM
ap-7623	150	3	)	)	PUNCT
ap-7623	150	4	here	here	ADV
ap-7623	150	5	φk	φk	ADP
ap-7623	150	6	≡	≡	PROPN
ap-7623	150	7	(	(	PUNCT
ap-7623	150	8	φ	φ	PROPN
ap-7623	150	9	,	,	PUNCT
ap-7623	150	10	φ∗	φ∗	NOUN
ap-7623	150	11	,	,	PUNCT
ap-7623	150	12	a0	a0	NOUN
ap-7623	150	13	,	,	PUNCT
ap-7623	150	14	a1	a1	PROPN
ap-7623	150	15	,	,	PUNCT
ap-7623	150	16	a2	a2	PROPN
ap-7623	150	17	,	,	PUNCT
ap-7623	150	18	u	u	NOUN
ap-7623	150	19	)	)	PUNCT
ap-7623	150	20	are	be	AUX
ap-7623	150	21	the	the	DET
ap-7623	150	22	phase	phase	NOUN
ap-7623	150	23	space	space	NOUN
ap-7623	150	24	variables	variable	NOUN
ap-7623	150	25	of	of	ADP
ap-7623	150	26	the	the	DET
ap-7623	150	27	theory	theory	NOUN
ap-7623	150	28	with	with	ADP
ap-7623	150	29	the	the	DET
ap-7623	150	30	corresponding	corresponding	ADJ
ap-7623	150	31	respective	respective	ADJ
ap-7623	150	32	canonical	canonical	ADJ
ap-7623	150	33	conjugate	conjugate	ADJ
ap-7623	150	34	momenta	momenta	NOUN
ap-7623	150	35	:	:	PUNCT
ap-7623	150	36	πk	πk	PROPN
ap-7623	150	37	≡	≡	PROPN
ap-7623	150	38	(	(	PUNCT
ap-7623	150	39	π	π	PROPN
ap-7623	150	40	,	,	PUNCT
ap-7623	150	41	π∗	π∗	PROPN
ap-7623	150	42	,	,	PUNCT
ap-7623	150	43	π0	π0	NOUN
ap-7623	150	44	,	,	PUNCT
ap-7623	150	45	e1	e1	PROPN
ap-7623	150	46	,	,	PUNCT
ap-7623	150	47	e2	e2	PROPN
ap-7623	150	48	,	,	PUNCT
ap-7623	150	49	πu	πu	NOUN
ap-7623	150	50	)	)	PUNCT
ap-7623	150	51	.	.	PUNCT
ap-7623	151	1	the	the	DET
ap-7623	151	2	functional	functional	ADJ
ap-7623	151	3	measure	measure	NOUN
ap-7623	151	4	[	[	X
ap-7623	151	5	dµ	dµ	X
ap-7623	151	6	]	]	PUNCT
ap-7623	151	7	of	of	ADP
ap-7623	151	8	the	the	DET
ap-7623	151	9	theory	theory	NOUN
ap-7623	151	10	(	(	PUNCT
ap-7623	151	11	with	with	ADP
ap-7623	151	12	the	the	DET
ap-7623	151	13	above	above	ADV
ap-7623	151	14	generating	generate	VERB
ap-7623	151	15	functional	functional	ADJ
ap-7623	151	16	z[jk	z[jk	NOUN
ap-7623	151	17	]	]	PUNCT
ap-7623	151	18	)	)	PUNCT
ap-7623	151	19	is	be	AUX
ap-7623	151	20	:	:	PUNCT
ap-7623	152	1	[	[	X
ap-7623	152	2	dµ	dµ	X
ap-7623	152	3	]	]	X
ap-7623	152	4	=	=	X
ap-7623	152	5	[	[	PUNCT
ap-7623	152	6	(	(	PUNCT
ap-7623	152	7	ieπ)δ(x1	ieπ)δ(x1	ADJ
ap-7623	152	8	−	−	PROPN
ap-7623	152	9	y1)δ(x2	y1)δ(x2	NOUN
ap-7623	152	10	−	−	PROPN
ap-7623	152	11	y2	y2	PROPN
ap-7623	152	12	)	)	PUNCT
ap-7623	153	1	[	[	X
ap-7623	153	2	dφ][dφ∗][da0][da1][da2][du][dπ	dφ][dφ∗][da0][da1][da2][du][dπ	X
ap-7623	153	3	]	]	X
ap-7623	154	1	[	[	X
ap-7623	154	2	dπ∗][dπ0][de1][de2][dπu]δ[(π0	dπ∗][dπ0][de1][de2][dπu]δ[(π0	X
ap-7623	154	3	)	)	PUNCT
ap-7623	155	1	≈	≈	PROPN
ap-7623	155	2	0	0	NUM
ap-7623	155	3	]	]	PUNCT
ap-7623	155	4	δ[[ie(πφ	δ[[ie(πφ	NUM
ap-7623	155	5	−	−	PROPN
ap-7623	155	6	π∗φ∗	π∗φ∗	PROPN
ap-7623	155	7	)	)	PUNCT
ap-7623	156	1	+	+	CCONJ
ap-7623	156	2	(	(	PUNCT
ap-7623	156	3	∂1e1	∂1e1	X
ap-7623	156	4	+	+	NUM
ap-7623	156	5	∂2e2	∂2e2	PROPN
ap-7623	156	6	)	)	PUNCT
ap-7623	157	1	+	+	CCONJ
ap-7623	157	2	κ	κ	NOUN
ap-7623	157	3	2	2	NUM
ap-7623	157	4	(	(	PUNCT
ap-7623	157	5	∂1a2	∂1a2	INTJ
ap-7623	157	6	−	−	NOUN
ap-7623	157	7	∂2a1	∂2a1	SYM
ap-7623	157	8	)	)	PUNCT
ap-7623	157	9	]	]	PUNCT
ap-7623	158	1	≈	≈	PROPN
ap-7623	158	2	0	0	NUM
ap-7623	158	3	]	]	X
ap-7623	158	4	δ[π	δ[π	NOUN
ap-7623	159	1	≈	≈	PROPN
ap-7623	159	2	0]δ[a0	0]δ[a0	PROPN
ap-7623	160	1	≈	≈	PROPN
ap-7623	160	2	0	0	NUM
ap-7623	160	3	]	]	PUNCT
ap-7623	160	4	]	]	PUNCT
ap-7623	160	5	.	.	PUNCT
ap-7623	161	1	(	(	PUNCT
ap-7623	161	2	22	22	X
ap-7623	161	3	)	)	PUNCT
ap-7623	161	4	acknowledgements	acknowledgement	NOUN
ap-7623	161	5	we	we	PRON
ap-7623	161	6	thank	thank	VERB
ap-7623	161	7	the	the	DET
ap-7623	161	8	organizers	organizer	NOUN
ap-7623	161	9	of	of	ADP
ap-7623	161	10	the	the	DET
ap-7623	161	11	international	international	ADJ
ap-7623	161	12	conference	conference	NOUN
ap-7623	161	13	on	on	ADP
ap-7623	161	14	analytic	analytic	ADJ
ap-7623	161	15	and	and	CCONJ
ap-7623	161	16	algebraic	algebraic	ADJ
ap-7623	161	17	methods	method	NOUN
ap-7623	161	18	in	in	ADP
ap-7623	161	19	physics	physics	PROPN
ap-7623	161	20	xviii	xviii	PROPN
ap-7623	161	21	(	(	PUNCT
ap-7623	161	22	aamp	aamp	PROPN
ap-7623	161	23	xviii	xviii	PROPN
ap-7623	161	24	)	)	PUNCT
ap-7623	161	25	–	–	PUNCT
ap-7623	161	26	2021	2021	NUM
ap-7623	161	27	at	at	ADP
ap-7623	161	28	prague	prague	PROPN
ap-7623	161	29	,	,	PUNCT
ap-7623	161	30	czechia	czechia	PROPN
ap-7623	161	31	,	,	PUNCT
ap-7623	161	32	prof	prof	PROPN
ap-7623	161	33	.	.	PROPN
ap-7623	161	34	vít	vít	PROPN
ap-7623	161	35	jakubský	jakubský	PROPN
ap-7623	161	36	,	,	PUNCT
ap-7623	161	37	prof	prof	PROPN
ap-7623	161	38	.	.	PUNCT
ap-7623	162	1	vladimir	vladimir	PROPN
ap-7623	162	2	lotoreichik	lotoreichik	PROPN
ap-7623	162	3	,	,	PUNCT
ap-7623	162	4	prof	prof	PROPN
ap-7623	162	5	.	.	PUNCT
ap-7623	163	1	matej	matej	PROPN
ap-7623	163	2	tusek	tusek	PROPN
ap-7623	163	3	,	,	PUNCT
ap-7623	163	4	prof	prof	PROPN
ap-7623	163	5	.	.	PUNCT
ap-7623	163	6	miloslav	miloslav	PROPN
ap-7623	163	7	znojil	znojil	PROPN
ap-7623	163	8	and	and	CCONJ
ap-7623	163	9	the	the	DET
ap-7623	163	10	entire	entire	ADJ
ap-7623	163	11	team	team	NOUN
ap-7623	163	12	for	for	ADP
ap-7623	163	13	a	a	DET
ap-7623	163	14	wonderful	wonderful	ADJ
ap-7623	163	15	orgnization	orgnization	NOUN
ap-7623	163	16	of	of	ADP
ap-7623	163	17	the	the	DET
ap-7623	163	18	conference	conference	NOUN
ap-7623	163	19	.	.	PUNCT
ap-7623	164	1	one	one	NUM
ap-7623	164	2	of	of	ADP
ap-7623	164	3	us	we	PRON
ap-7623	164	4	(	(	PUNCT
ap-7623	164	5	bheemraj	bheemraj	ADJ
ap-7623	164	6	sihag	sihag	NOUN
ap-7623	164	7	)	)	PUNCT
ap-7623	165	1	thanks	thank	NOUN
ap-7623	165	2	the	the	DET
ap-7623	165	3	university	university	NOUN
ap-7623	165	4	of	of	ADP
ap-7623	165	5	delhi	delhi	PROPN
ap-7623	165	6	for	for	ADP
ap-7623	165	7	the	the	DET
ap-7623	165	8	award	award	NOUN
ap-7623	165	9	of	of	ADP
ap-7623	165	10	a	a	DET
ap-7623	165	11	research	research	NOUN
ap-7623	165	12	fellowship	fellowship	NOUN
ap-7623	165	13	.	.	PUNCT
ap-7623	166	1	88	88	NUM
ap-7623	166	2	vol	vol	NOUN
ap-7623	166	3	.	.	PUNCT
ap-7623	167	1	62	62	NUM
ap-7623	167	2	no	no	INTJ
ap-7623	167	3	.	.	PUNCT
ap-7623	168	1	1/2022	1/2022	NUM
ap-7623	168	2	maxwell	maxwell	NOUN
ap-7623	168	3	-	-	PUNCT
ap-7623	168	4	chern	chern	PROPN
ap-7623	168	5	-	-	PUNCT
ap-7623	168	6	simons	simon	NOUN
ap-7623	168	7	-	-	PUNCT
ap-7623	168	8	higgs	higgs	PROPN
ap-7623	168	9	theory	theory	NOUN
ap-7623	168	10	references	reference	NOUN
ap-7623	168	11	[	[	X
ap-7623	168	12	1	1	NUM
ap-7623	168	13	]	]	PUNCT
ap-7623	168	14	p.	p.	NOUN
ap-7623	168	15	a.	a.	PROPN
ap-7623	168	16	m.	m.	PROPN
ap-7623	168	17	dirac	dirac	PROPN
ap-7623	168	18	.	.	PUNCT
ap-7623	169	1	generalized	generalize	VERB
ap-7623	169	2	hamiltonian	hamiltonian	ADJ
ap-7623	169	3	dynamics	dynamic	NOUN
ap-7623	169	4	.	.	PUNCT
ap-7623	170	1	canadian	canadian	ADJ
ap-7623	170	2	journal	journal	PROPN
ap-7623	170	3	of	of	ADP
ap-7623	170	4	mathematics	mathematics	PROPN
ap-7623	170	5	2:129–148	2:129–148	PROPN
ap-7623	170	6	,	,	PUNCT
ap-7623	170	7	1950	1950	NUM
ap-7623	170	8	.	.	PUNCT
ap-7623	171	1	https://doi.org/10.4153/cjm-1950-012-1	https://doi.org/10.4153/cjm-1950-012-1	PROPN
ap-7623	171	2	.	.	PUNCT
ap-7623	172	1	[	[	X
ap-7623	172	2	2	2	X
ap-7623	172	3	]	]	PUNCT
ap-7623	172	4	v.	v.	ADP
ap-7623	172	5	l.	l.	PROPN
ap-7623	172	6	ginzburg	ginzburg	PROPN
ap-7623	172	7	,	,	PUNCT
ap-7623	172	8	l.	l.	PROPN
ap-7623	172	9	d.	d.	PROPN
ap-7623	172	10	landau	landau	VERB
ap-7623	172	11	.	.	PUNCT
ap-7623	173	1	on	on	ADP
ap-7623	173	2	the	the	DET
ap-7623	173	3	theory	theory	NOUN
ap-7623	173	4	of	of	ADP
ap-7623	173	5	superconductivity	superconductivity	NOUN
ap-7623	173	6	(	(	PUNCT
ap-7623	173	7	in	in	ADP
ap-7623	173	8	russian	russian	NOUN
ap-7623	173	9	)	)	PUNCT
ap-7623	173	10	.	.	PUNCT
ap-7623	174	1	zhurnal	zhurnal	PROPN
ap-7623	174	2	eksperimental’noi	eksperimental’noi	PROPN
ap-7623	175	1	i	i	PRON
ap-7623	175	2	teoreticheskoi	teoreticheskoi	VERB
ap-7623	175	3	fiziki	fiziki	PROPN
ap-7623	175	4	20:1064–1082	20:1064–1082	NUM
ap-7623	175	5	,	,	PUNCT
ap-7623	175	6	1950	1950	NUM
ap-7623	175	7	.	.	PUNCT
ap-7623	176	1	[	[	X
ap-7623	176	2	3	3	NUM
ap-7623	176	3	]	]	PUNCT
ap-7623	176	4	a.	a.	NOUN
ap-7623	176	5	a.	a.	NOUN
ap-7623	176	6	abrikosov	abrikosov	PROPN
ap-7623	176	7	.	.	PUNCT
ap-7623	177	1	on	on	ADP
ap-7623	177	2	the	the	DET
ap-7623	177	3	magnetic	magnetic	ADJ
ap-7623	177	4	properties	property	NOUN
ap-7623	177	5	of	of	ADP
ap-7623	177	6	superconductors	superconductor	NOUN
ap-7623	177	7	of	of	ADP
ap-7623	177	8	the	the	DET
ap-7623	177	9	second	second	ADJ
ap-7623	177	10	group	group	NOUN
ap-7623	177	11	.	.	PUNCT
ap-7623	178	1	soviet	soviet	ADJ
ap-7623	178	2	physics	physics	PROPN
ap-7623	178	3	jetp	jetp	PROPN
ap-7623	178	4	5:1174–1182	5:1174–1182	NUM
ap-7623	178	5	,	,	PUNCT
ap-7623	178	6	1957	1957	NUM
ap-7623	178	7	.	.	PUNCT
ap-7623	179	1	[	[	X
ap-7623	179	2	4	4	X
ap-7623	179	3	]	]	PUNCT
ap-7623	179	4	h.	h.	PROPN
ap-7623	179	5	b.	b.	PROPN
ap-7623	179	6	nielson	nielson	PROPN
ap-7623	179	7	,	,	PUNCT
ap-7623	179	8	p.	p.	PROPN
ap-7623	179	9	olsen	olsen	PROPN
ap-7623	179	10	.	.	PUNCT
ap-7623	179	11	vortex	vortex	NOUN
ap-7623	179	12	line	line	NOUN
ap-7623	179	13	models	model	NOUN
ap-7623	179	14	for	for	ADP
ap-7623	179	15	dual	dual	ADJ
ap-7623	179	16	strings	string	NOUN
ap-7623	179	17	.	.	PUNCT
ap-7623	180	1	nuclear	nuclear	ADJ
ap-7623	180	2	physics	physics	PROPN
ap-7623	180	3	b	b	PROPN
ap-7623	180	4	61:45–61	61:45–61	PROPN
ap-7623	180	5	,	,	PUNCT
ap-7623	180	6	1973	1973	NUM
ap-7623	180	7	.	.	PUNCT
ap-7623	181	1	[	[	X
ap-7623	181	2	5	5	NUM
ap-7623	181	3	]	]	X
ap-7623	181	4	c.	c.	NOUN
ap-7623	181	5	becchi	becchi	PROPN
ap-7623	181	6	,	,	PUNCT
ap-7623	181	7	a.	a.	NOUN
ap-7623	181	8	rouet	rouet	PROPN
ap-7623	181	9	,	,	PUNCT
ap-7623	181	10	r.	r.	PROPN
ap-7623	181	11	stora	stora	PROPN
ap-7623	181	12	.	.	PUNCT
ap-7623	182	1	the	the	DET
ap-7623	182	2	abelian	abelian	PROPN
ap-7623	182	3	higgs	higgs	PROPN
ap-7623	182	4	kibble	kibble	PROPN
ap-7623	182	5	model	model	NOUN
ap-7623	182	6	,	,	PUNCT
ap-7623	182	7	unitarity	unitarity	NOUN
ap-7623	182	8	of	of	ADP
ap-7623	182	9	the	the	DET
ap-7623	182	10	s	s	NOUN
ap-7623	182	11	-	-	NOUN
ap-7623	182	12	operator	operator	NOUN
ap-7623	182	13	.	.	PUNCT
ap-7623	183	1	physics	physics	NOUN
ap-7623	183	2	letters	letter	NOUN
ap-7623	183	3	b	b	PROPN
ap-7623	183	4	52(3):344–346	52(3):344–346	NUM
ap-7623	183	5	,	,	PUNCT
ap-7623	183	6	1974	1974	NUM
ap-7623	183	7	.	.	PUNCT
ap-7623	184	1	https://doi.org/10.1016/0370-2693(74)90058-6	https://doi.org/10.1016/0370-2693(74)90058-6	NOUN
ap-7623	184	2	.	.	PUNCT
ap-7623	185	1	[	[	X
ap-7623	185	2	6	6	NUM
ap-7623	185	3	]	]	PUNCT
ap-7623	185	4	e.	e.	PROPN
ap-7623	185	5	b.	b.	PROPN
ap-7623	185	6	bogomolnyi	bogomolnyi	PROPN
ap-7623	185	7	.	.	PUNCT
ap-7623	186	1	the	the	DET
ap-7623	186	2	stability	stability	NOUN
ap-7623	186	3	of	of	ADP
ap-7623	186	4	classical	classical	ADJ
ap-7623	186	5	solutions	solution	NOUN
ap-7623	186	6	.	.	PUNCT
ap-7623	187	1	soviet	soviet	ADJ
ap-7623	187	2	journal	journal	PROPN
ap-7623	187	3	of	of	ADP
ap-7623	187	4	nuclear	nuclear	ADJ
ap-7623	187	5	physics	physics	NOUN
ap-7623	187	6	24(4):449–458	24(4):449–458	PROPN
ap-7623	187	7	,	,	PUNCT
ap-7623	187	8	1976	1976	NUM
ap-7623	187	9	.	.	PUNCT
ap-7623	188	1	[	[	X
ap-7623	188	2	7	7	X
ap-7623	188	3	]	]	X
ap-7623	188	4	s.	s.	PROPN
ap-7623	188	5	deser	deser	PROPN
ap-7623	188	6	,	,	PUNCT
ap-7623	188	7	r.	r.	PROPN
ap-7623	188	8	jackiw	jackiw	PROPN
ap-7623	188	9	,	,	PUNCT
ap-7623	188	10	s.	s.	PROPN
ap-7623	188	11	templeton	templeton	PROPN
ap-7623	188	12	.	.	PUNCT
ap-7623	189	1	three	three	NUM
ap-7623	189	2	-	-	PUNCT
ap-7623	189	3	dimensional	dimensional	ADJ
ap-7623	189	4	massive	massive	ADJ
ap-7623	189	5	gauge	gauge	NOUN
ap-7623	189	6	theories	theory	NOUN
ap-7623	189	7	.	.	PUNCT
ap-7623	190	1	physical	physical	ADJ
ap-7623	190	2	review	review	NOUN
ap-7623	190	3	letters	letter	VERB
ap-7623	190	4	48:975–978	48:975–978	NUM
ap-7623	190	5	,	,	PUNCT
ap-7623	190	6	1982	1982	NUM
ap-7623	190	7	.	.	PUNCT
ap-7623	191	1	annals	annal	NOUN
ap-7623	191	2	of	of	ADP
ap-7623	191	3	physics	physics	NOUN
ap-7623	191	4	,	,	PUNCT
ap-7623	191	5	140:372	140:372	NUM
ap-7623	191	6	,	,	PUNCT
ap-7623	191	7	1982	1982	NUM
ap-7623	191	8	,	,	PUNCT
ap-7623	191	9	https://doi.org/10.1103/physrevlett.48.975	https://doi.org/10.1103/physrevlett.48.975	PROPN
ap-7623	191	10	.	.	PUNCT
ap-7623	192	1	[	[	X
ap-7623	192	2	8	8	NUM
ap-7623	192	3	]	]	X
ap-7623	192	4	f.	f.	PROPN
ap-7623	192	5	wilczek	wilczek	PROPN
ap-7623	192	6	.	.	PUNCT
ap-7623	193	1	quantum	quantum	ADJ
ap-7623	193	2	mechanics	mechanic	NOUN
ap-7623	193	3	of	of	ADP
ap-7623	193	4	fractional	fractional	ADJ
ap-7623	193	5	-	-	PUNCT
ap-7623	193	6	spin	spin	NOUN
ap-7623	193	7	particles	particle	NOUN
ap-7623	193	8	.	.	PUNCT
ap-7623	194	1	physical	physical	ADJ
ap-7623	194	2	review	review	NOUN
ap-7623	194	3	letters	letter	VERB
ap-7623	194	4	49:957–959	49:957–959	PROPN
ap-7623	194	5	,	,	PUNCT
ap-7623	194	6	1982	1982	NUM
ap-7623	194	7	.	.	PUNCT
ap-7623	195	1	https://doi.org/10.1103/physrevlett.49.957	https://doi.org/10.1103/physrevlett.49.957	NOUN
ap-7623	195	2	.	.	PUNCT
ap-7623	196	1	[	[	X
ap-7623	196	2	9	9	NUM
ap-7623	196	3	]	]	PUNCT
ap-7623	196	4	a.	a.	NOUN
ap-7623	196	5	j.	j.	PROPN
ap-7623	196	6	niemi	niemi	PROPN
ap-7623	196	7	,	,	PUNCT
ap-7623	196	8	g.	g.	PROPN
ap-7623	196	9	w.	w.	PROPN
ap-7623	196	10	semenoff	semenoff	PROPN
ap-7623	196	11	.	.	PUNCT
ap-7623	197	1	axial	axial	ADJ
ap-7623	197	2	-	-	PUNCT
ap-7623	197	3	anomaly	anomaly	NOUN
ap-7623	197	4	-	-	PUNCT
ap-7623	197	5	induced	induce	VERB
ap-7623	197	6	fermion	fermion	NOUN
ap-7623	197	7	fractionization	fractionization	NOUN
ap-7623	197	8	and	and	CCONJ
ap-7623	197	9	effective	effective	ADJ
ap-7623	197	10	gauge	gauge	NOUN
ap-7623	197	11	-	-	PUNCT
ap-7623	197	12	theory	theory	NOUN
ap-7623	197	13	actions	action	NOUN
ap-7623	197	14	in	in	ADP
ap-7623	197	15	odd	odd	ADJ
ap-7623	197	16	-	-	PUNCT
ap-7623	197	17	dimensional	dimensional	ADJ
ap-7623	197	18	space	space	NOUN
ap-7623	197	19	-	-	PUNCT
ap-7623	197	20	times	time	NOUN
ap-7623	197	21	.	.	PUNCT
ap-7623	198	1	physical	physical	ADJ
ap-7623	198	2	review	review	PROPN
ap-7623	198	3	letters	letter	NOUN
ap-7623	198	4	51:2077–2080	51:2077–2080	NUM
ap-7623	198	5	,	,	PUNCT
ap-7623	198	6	1983	1983	NUM
ap-7623	198	7	.	.	PUNCT
ap-7623	199	1	https://doi.org/10.1103/physrevlett.51.2077	https://doi.org/10.1103/physrevlett.51.2077	PROPN
ap-7623	199	2	.	.	PUNCT
ap-7623	200	1	[	[	X
ap-7623	200	2	10	10	NUM
ap-7623	200	3	]	]	PUNCT
ap-7623	200	4	a.	a.	NOUN
ap-7623	200	5	n.	n.	PROPN
ap-7623	200	6	redlich	redlich	PROPN
ap-7623	200	7	.	.	PUNCT
ap-7623	201	1	gauge	gauge	VERB
ap-7623	201	2	noninvariance	noninvariance	NOUN
ap-7623	201	3	and	and	CCONJ
ap-7623	201	4	parity	parity	NOUN
ap-7623	201	5	nonconservation	nonconservation	NOUN
ap-7623	201	6	of	of	ADP
ap-7623	201	7	three	three	NUM
ap-7623	201	8	-	-	PUNCT
ap-7623	201	9	dimensional	dimensional	ADJ
ap-7623	201	10	fermions	fermion	NOUN
ap-7623	201	11	.	.	PUNCT
ap-7623	202	1	physical	physical	ADJ
ap-7623	202	2	review	review	NOUN
ap-7623	202	3	letters	letter	NOUN
ap-7623	202	4	52:18–21	52:18–21	NUM
ap-7623	202	5	,	,	PUNCT
ap-7623	202	6	1984	1984	NUM
ap-7623	202	7	.	.	PUNCT
ap-7623	203	1	https://doi.org/10.1103/physrevlett.52.18	https://doi.org/10.1103/physrevlett.52.18	X
ap-7623	203	2	.	.	PUNCT
ap-7623	204	1	[	[	X
ap-7623	204	2	11	11	NUM
ap-7623	204	3	]	]	PUNCT
ap-7623	204	4	k.	k.	PROPN
ap-7623	204	5	ishikawa	ishikawa	PROPN
ap-7623	204	6	.	.	PUNCT
ap-7623	204	7	chiral	chiral	ADJ
ap-7623	204	8	anomaly	anomaly	NOUN
ap-7623	204	9	and	and	CCONJ
ap-7623	204	10	quantized	quantize	VERB
ap-7623	204	11	hall	hall	NOUN
ap-7623	204	12	effect	effect	NOUN
ap-7623	204	13	.	.	PUNCT
ap-7623	205	1	physical	physical	ADJ
ap-7623	205	2	review	review	PROPN
ap-7623	205	3	letters	letter	NOUN
ap-7623	205	4	53:1615–1618	53:1615–1618	NUM
ap-7623	205	5	,	,	PUNCT
ap-7623	205	6	1984	1984	NUM
ap-7623	205	7	.	.	PUNCT
ap-7623	206	1	https://doi.org/10.1103/physrevlett.53.1615	https://doi.org/10.1103/physrevlett.53.1615	NOUN
ap-7623	206	2	.	.	PUNCT
ap-7623	207	1	[	[	X
ap-7623	207	2	12	12	NUM
ap-7623	207	3	]	]	X
ap-7623	207	4	g.	g.	PROPN
ap-7623	207	5	w.	w.	PROPN
ap-7623	207	6	semenoff	semenoff	PROPN
ap-7623	207	7	,	,	PUNCT
ap-7623	207	8	p.	p.	PROPN
ap-7623	207	9	sodano	sodano	NOUN
ap-7623	207	10	.	.	PUNCT
ap-7623	208	1	non	non	ADJ
ap-7623	208	2	-	-	ADJ
ap-7623	208	3	abelian	abelian	ADJ
ap-7623	208	4	adiabatic	adiabatic	ADJ
ap-7623	208	5	phases	phase	NOUN
ap-7623	208	6	and	and	CCONJ
ap-7623	208	7	the	the	DET
ap-7623	208	8	fractional	fractional	ADJ
ap-7623	208	9	quantum	quantum	NOUN
ap-7623	208	10	hall	hall	NOUN
ap-7623	208	11	effect	effect	NOUN
ap-7623	208	12	.	.	PUNCT
ap-7623	209	1	physical	physical	ADJ
ap-7623	209	2	review	review	NOUN
ap-7623	209	3	letters	letter	NOUN
ap-7623	209	4	57:1195–1198	57:1195–1198	NUM
ap-7623	209	5	,	,	PUNCT
ap-7623	209	6	1986	1986	NUM
ap-7623	209	7	.	.	PUNCT
ap-7623	210	1	https://doi.org/10.1103/physrevlett.57.1195	https://doi.org/10.1103/physrevlett.57.1195	ADJ
ap-7623	210	2	.	.	PUNCT
ap-7623	211	1	[	[	X
ap-7623	211	2	13	13	NUM
ap-7623	211	3	]	]	PUNCT
ap-7623	211	4	l.	l.	PROPN
ap-7623	211	5	jacobs	jacobs	PROPN
ap-7623	211	6	,	,	PUNCT
ap-7623	211	7	c.	c.	PROPN
ap-7623	211	8	rebbi	rebbi	VERB
ap-7623	211	9	.	.	PUNCT
ap-7623	212	1	interaction	interaction	NOUN
ap-7623	212	2	energy	energy	NOUN
ap-7623	212	3	of	of	ADP
ap-7623	212	4	superconducting	superconducte	VERB
ap-7623	212	5	vortices	vortex	NOUN
ap-7623	212	6	.	.	PUNCT
ap-7623	213	1	physical	physical	ADJ
ap-7623	213	2	review	review	PROPN
ap-7623	213	3	b	b	PROPN
ap-7623	213	4	19:4486–4494	19:4486–4494	NUM
ap-7623	213	5	,	,	PUNCT
ap-7623	213	6	1979	1979	NUM
ap-7623	213	7	.	.	PUNCT
ap-7623	214	1	https://doi.org/10.1103/physrevb.19.4486	https://doi.org/10.1103/physrevb.19.4486	PROPN
ap-7623	214	2	.	.	PUNCT
ap-7623	215	1	[	[	X
ap-7623	215	2	14	14	NUM
ap-7623	215	3	]	]	X
ap-7623	215	4	i.	i.	PROPN
ap-7623	215	5	v.	v.	PROPN
ap-7623	215	6	krive	krive	PROPN
ap-7623	215	7	,	,	PUNCT
ap-7623	215	8	a.	a.	PROPN
ap-7623	215	9	s.	s.	PROPN
ap-7623	215	10	rozhavskĭı	rozhavskĭı	PROPN
ap-7623	215	11	.	.	PUNCT
ap-7623	215	12	fractional	fractional	ADJ
ap-7623	215	13	charge	charge	NOUN
ap-7623	215	14	in	in	ADP
ap-7623	215	15	quantum	quantum	ADJ
ap-7623	215	16	field	field	NOUN
ap-7623	215	17	theory	theory	NOUN
ap-7623	215	18	and	and	CCONJ
ap-7623	215	19	solid	solid	ADJ
ap-7623	215	20	-	-	PUNCT
ap-7623	215	21	state	state	NOUN
ap-7623	215	22	physics	physics	NOUN
ap-7623	215	23	.	.	PUNCT
ap-7623	216	1	soviet	soviet	PROPN
ap-7623	216	2	physics	physics	PROPN
ap-7623	216	3	uspekhi	uspekhi	PROPN
ap-7623	216	4	30(5):370	30(5):370	NUM
ap-7623	216	5	,	,	PUNCT
ap-7623	216	6	1987	1987	NUM
ap-7623	216	7	.	.	PUNCT
ap-7623	217	1	https://doi.org/10.1070/pu1987v030n05abeh002884	https://doi.org/10.1070/pu1987v030n05abeh002884	X
ap-7623	217	2	.	.	PUNCT
ap-7623	218	1	[	[	X
ap-7623	218	2	15	15	NUM
ap-7623	218	3	]	]	X
ap-7623	218	4	a.	a.	NOUN
ap-7623	218	5	l.	l.	PROPN
ap-7623	218	6	fetter	fetter	PROPN
ap-7623	218	7	,	,	PUNCT
ap-7623	218	8	c.	c.	PROPN
ap-7623	218	9	b.	b.	PROPN
ap-7623	218	10	hanna	hanna	PROPN
ap-7623	218	11	,	,	PUNCT
ap-7623	219	1	r.	r.	PROPN
ap-7623	219	2	b.	b.	PROPN
ap-7623	219	3	laughlin	laughlin	PROPN
ap-7623	219	4	.	.	PUNCT
ap-7623	220	1	random	random	ADJ
ap-7623	220	2	-	-	PUNCT
ap-7623	220	3	phase	phase	NOUN
ap-7623	220	4	approximation	approximation	NOUN
ap-7623	220	5	in	in	ADP
ap-7623	220	6	the	the	DET
ap-7623	220	7	fractional	fractional	ADJ
ap-7623	220	8	-	-	PUNCT
ap-7623	220	9	statistics	statistic	NOUN
ap-7623	220	10	gas	gas	NOUN
ap-7623	220	11	.	.	PUNCT
ap-7623	221	1	physical	physical	PROPN
ap-7623	221	2	review	review	PROPN
ap-7623	221	3	b	b	PROPN
ap-7623	221	4	39:9679–9681	39:9679–9681	NUM
ap-7623	221	5	,	,	PUNCT
ap-7623	221	6	1989	1989	NUM
ap-7623	221	7	.	.	PUNCT
ap-7623	222	1	https://doi.org/10.1103/physrevb.39.9679	https://doi.org/10.1103/physrevb.39.9679	NOUN
ap-7623	222	2	.	.	PUNCT
ap-7623	223	1	[	[	X
ap-7623	223	2	16	16	NUM
ap-7623	223	3	]	]	PUNCT
ap-7623	223	4	t.	t.	NOUN
ap-7623	223	5	banks	bank	NOUN
ap-7623	223	6	,	,	PUNCT
ap-7623	223	7	j.	j.	PROPN
ap-7623	223	8	d.	d.	PROPN
ap-7623	223	9	lykken	lykken	VERB
ap-7623	223	10	.	.	PUNCT
ap-7623	224	1	landau	landau	NOUN
ap-7623	224	2	-	-	PUNCT
ap-7623	224	3	ginzburg	ginzburg	NOUN
ap-7623	224	4	description	description	NOUN
ap-7623	224	5	of	of	ADP
ap-7623	224	6	anyonic	anyonic	ADJ
ap-7623	224	7	superconductors	superconductor	NOUN
ap-7623	224	8	.	.	PUNCT
ap-7623	225	1	nuclear	nuclear	ADJ
ap-7623	225	2	physics	physics	PROPN
ap-7623	225	3	b	b	PROPN
ap-7623	225	4	336(3):500–516	336(3):500–516	NUM
ap-7623	225	5	,	,	PUNCT
ap-7623	225	6	1990	1990	NUM
ap-7623	225	7	.	.	PUNCT
ap-7623	226	1	https://doi.org/10.1016/0550-3213(90)90439-k	https://doi.org/10.1016/0550-3213(90)90439-k	ADJ
ap-7623	226	2	.	.	PUNCT
ap-7623	227	1	[	[	X
ap-7623	227	2	17	17	NUM
ap-7623	227	3	]	]	X
ap-7623	227	4	g.	g.	PROPN
ap-7623	227	5	v.	v.	PROPN
ap-7623	227	6	dunne	dunne	PROPN
ap-7623	227	7	,	,	PUNCT
ap-7623	227	8	c.	c.	PROPN
ap-7623	227	9	a.	a.	PROPN
ap-7623	227	10	trugenberger	trugenberger	PROPN
ap-7623	227	11	.	.	PUNCT
ap-7623	228	1	self	self	NOUN
ap-7623	228	2	-	-	PUNCT
ap-7623	228	3	duality	duality	NOUN
ap-7623	228	4	and	and	CCONJ
ap-7623	228	5	nonrelativistic	nonrelativistic	ADJ
ap-7623	228	6	maxwell	maxwell	PROPN
ap-7623	228	7	-	-	PUNCT
ap-7623	228	8	chern	chern	PROPN
ap-7623	228	9	-	-	PUNCT
ap-7623	228	10	simons	simon	NOUN
ap-7623	228	11	solitons	soliton	NOUN
ap-7623	228	12	.	.	PUNCT
ap-7623	229	1	physical	physical	ADJ
ap-7623	229	2	review	review	PROPN
ap-7623	229	3	d	d	PROPN
ap-7623	229	4	43:1323–1331	43:1323–1331	PROPN
ap-7623	229	5	,	,	PUNCT
ap-7623	229	6	1991	1991	NUM
ap-7623	229	7	.	.	PUNCT
ap-7623	230	1	https://doi.org/10.1103/physrevd.43.1323	https://doi.org/10.1103/physrevd.43.1323	NOUN
ap-7623	230	2	.	.	PUNCT
ap-7623	231	1	[	[	X
ap-7623	231	2	18	18	NUM
ap-7623	231	3	]	]	PUNCT
ap-7623	231	4	s.	s.	PROPN
ap-7623	231	5	forte	forte	PROPN
ap-7623	231	6	.	.	PUNCT
ap-7623	231	7	quantum	quantum	ADJ
ap-7623	231	8	mechanics	mechanic	NOUN
ap-7623	231	9	and	and	CCONJ
ap-7623	231	10	field	field	NOUN
ap-7623	231	11	theory	theory	NOUN
ap-7623	231	12	with	with	ADP
ap-7623	231	13	fractional	fractional	ADJ
ap-7623	231	14	spin	spin	NOUN
ap-7623	231	15	and	and	CCONJ
ap-7623	231	16	statistics	statistic	NOUN
ap-7623	231	17	.	.	PUNCT
ap-7623	232	1	reviews	review	NOUN
ap-7623	232	2	of	of	ADP
ap-7623	232	3	modern	modern	ADJ
ap-7623	232	4	physics	physic	NOUN
ap-7623	232	5	64:193–236	64:193–236	PROPN
ap-7623	232	6	,	,	PUNCT
ap-7623	232	7	1992	1992	NUM
ap-7623	232	8	.	.	PUNCT
ap-7623	233	1	https://doi.org/10.1103/revmodphys.64.193	https://doi.org/10.1103/revmodphys.64.193	NOUN
ap-7623	233	2	.	.	PUNCT
ap-7623	234	1	[	[	X
ap-7623	234	2	19	19	NUM
ap-7623	234	3	]	]	X
ap-7623	234	4	u.	u.	NOUN
ap-7623	234	5	kulshreshtha	kulshreshtha	PROPN
ap-7623	234	6	.	.	PUNCT
ap-7623	235	1	hamiltonian	hamiltonian	ADJ
ap-7623	235	2	and	and	CCONJ
ap-7623	235	3	brst	brst	ADJ
ap-7623	235	4	formulations	formulation	NOUN
ap-7623	235	5	of	of	ADP
ap-7623	235	6	the	the	DET
ap-7623	235	7	two	two	NUM
ap-7623	235	8	-	-	PUNCT
ap-7623	235	9	dimensional	dimensional	ADJ
ap-7623	235	10	abelian	abelian	ADJ
ap-7623	235	11	higgs	higgs	PROPN
ap-7623	235	12	model	model	PROPN
ap-7623	235	13	.	.	PUNCT
ap-7623	236	1	canadian	canadian	ADJ
ap-7623	236	2	journal	journal	PROPN
ap-7623	236	3	of	of	ADP
ap-7623	236	4	physics	physics	PROPN
ap-7623	236	5	78(1):21–31	78(1):21–31	PROPN
ap-7623	236	6	,	,	PUNCT
ap-7623	236	7	2000	2000	NUM
ap-7623	236	8	.	.	PUNCT
ap-7623	237	1	https://doi.org/10.1139/p00-002	https://doi.org/10.1139/p00-002	NOUN
ap-7623	237	2	.	.	PUNCT
ap-7623	238	1	[	[	X
ap-7623	238	2	20	20	NUM
ap-7623	238	3	]	]	X
ap-7623	238	4	u.	u.	NOUN
ap-7623	238	5	kulshreshtha	kulshreshtha	PROPN
ap-7623	238	6	.	.	PUNCT
ap-7623	239	1	hamiltonian	hamiltonian	ADJ
ap-7623	239	2	and	and	CCONJ
ap-7623	239	3	brst	brst	ADJ
ap-7623	239	4	formulations	formulation	NOUN
ap-7623	239	5	of	of	ADP
ap-7623	239	6	the	the	DET
ap-7623	239	7	nielsen	nielsen	PROPN
ap-7623	239	8	-	-	PUNCT
ap-7623	239	9	olesen	olesen	PROPN
ap-7623	239	10	model	model	NOUN
ap-7623	239	11	.	.	PUNCT
ap-7623	240	1	international	international	ADJ
ap-7623	240	2	journal	journal	PROPN
ap-7623	240	3	of	of	ADP
ap-7623	240	4	theoretical	theoretical	ADJ
ap-7623	240	5	physics	physics	PROPN
ap-7623	240	6	41(2):273–291	41(2):273–291	PROPN
ap-7623	240	7	,	,	PUNCT
ap-7623	240	8	2002	2002	NUM
ap-7623	240	9	.	.	PUNCT
ap-7623	241	1	https://doi.org/10.1023/a:1014058806710	https://doi.org/10.1023/a:1014058806710	NOUN
ap-7623	241	2	.	.	PUNCT
ap-7623	242	1	[	[	X
ap-7623	242	2	21	21	NUM
ap-7623	242	3	]	]	X
ap-7623	242	4	u.	u.	PROPN
ap-7623	242	5	kulshreshtha	kulshreshtha	PROPN
ap-7623	242	6	,	,	PUNCT
ap-7623	242	7	d.	d.	PROPN
ap-7623	242	8	s.	s.	PROPN
ap-7623	242	9	kulshreshtha	kulshreshtha	PROPN
ap-7623	242	10	.	.	PUNCT
ap-7623	243	1	hamiltonian	hamiltonian	PROPN
ap-7623	243	2	,	,	PUNCT
ap-7623	243	3	path	path	NOUN
ap-7623	243	4	integral	integral	ADJ
ap-7623	243	5	,	,	PUNCT
ap-7623	243	6	and	and	CCONJ
ap-7623	243	7	brst	brst	ADJ
ap-7623	243	8	formulations	formulation	NOUN
ap-7623	243	9	of	of	ADP
ap-7623	243	10	the	the	DET
ap-7623	243	11	chern	chern	ADJ
ap-7623	243	12	–	–	PUNCT
ap-7623	243	13	simons	simons	PROPN
ap-7623	243	14	theory	theory	NOUN
ap-7623	243	15	under	under	ADP
ap-7623	243	16	appropriate	appropriate	ADJ
ap-7623	243	17	gauge	gauge	NOUN
ap-7623	243	18	-	-	PUNCT
ap-7623	243	19	fixing	fix	VERB
ap-7623	243	20	.	.	PUNCT
ap-7623	244	1	canadian	canadian	ADJ
ap-7623	244	2	journal	journal	PROPN
ap-7623	244	3	of	of	ADP
ap-7623	244	4	physics	physics	PROPN
ap-7623	244	5	86(2):401–407	86(2):401–407	PROPN
ap-7623	244	6	,	,	PUNCT
ap-7623	244	7	2008	2008	NUM
ap-7623	244	8	.	.	PUNCT
ap-7623	245	1	https://doi.org/10.1139/p07-176	https://doi.org/10.1139/p07-176	NOUN
ap-7623	245	2	.	.	PUNCT
ap-7623	246	1	[	[	X
ap-7623	246	2	22	22	NUM
ap-7623	246	3	]	]	X
ap-7623	246	4	u.	u.	PROPN
ap-7623	246	5	kulshreshtha	kulshreshtha	PROPN
ap-7623	246	6	,	,	PUNCT
ap-7623	246	7	d.	d.	PROPN
ap-7623	246	8	s.	s.	PROPN
ap-7623	246	9	kulshreshtha	kulshreshtha	PROPN
ap-7623	246	10	,	,	PUNCT
ap-7623	246	11	h.	h.	PROPN
ap-7623	246	12	j.	j.	PROPN
ap-7623	246	13	w.	w.	PROPN
ap-7623	246	14	mueller	mueller	PROPN
ap-7623	246	15	-	-	PUNCT
ap-7623	246	16	kirsten	kirsten	PROPN
ap-7623	246	17	,	,	PUNCT
ap-7623	246	18	j.	j.	PROPN
ap-7623	246	19	p.	p.	PROPN
ap-7623	246	20	vary	vary	VERB
ap-7623	246	21	.	.	PUNCT
ap-7623	247	1	hamiltonian	hamiltonian	ADJ
ap-7623	247	2	,	,	PUNCT
ap-7623	247	3	path	path	NOUN
ap-7623	247	4	integral	integral	ADJ
ap-7623	247	5	and	and	CCONJ
ap-7623	247	6	brst	brst	ADJ
ap-7623	247	7	formulations	formulation	NOUN
ap-7623	247	8	of	of	ADP
ap-7623	247	9	the	the	DET
ap-7623	247	10	chern	chern	PROPN
ap-7623	247	11	–	–	PUNCT
ap-7623	247	12	simons	simon	NOUN
ap-7623	247	13	–	–	PUNCT
ap-7623	247	14	higgs	higgs	NOUN
ap-7623	247	15	theory	theory	NOUN
ap-7623	247	16	under	under	ADP
ap-7623	247	17	appropriate	appropriate	ADJ
ap-7623	247	18	gauge	gauge	NOUN
ap-7623	247	19	fixing	fixing	NOUN
ap-7623	247	20	.	.	PUNCT
ap-7623	248	1	physica	physica	PROPN
ap-7623	248	2	scripta	scripta	PROPN
ap-7623	248	3	79(4):045001	79(4):045001	NUM
ap-7623	248	4	,	,	PUNCT
ap-7623	248	5	2009	2009	NUM
ap-7623	248	6	.	.	PUNCT
ap-7623	249	1	https://doi.org/10.1088/0031-8949/79/04/045001	https://doi.org/10.1088/0031-8949/79/04/045001	NOUN
ap-7623	249	2	.	.	PUNCT
ap-7623	250	1	[	[	X
ap-7623	250	2	23	23	NUM
ap-7623	250	3	]	]	PUNCT
ap-7623	250	4	h.	h.	PROPN
ap-7623	250	5	j.	j.	PROPN
ap-7623	250	6	w.	w.	PROPN
ap-7623	250	7	mueller	mueller	PROPN
ap-7623	250	8	-	-	PUNCT
ap-7623	250	9	kirsten	kirsten	PROPN
ap-7623	250	10	.	.	PUNCT
ap-7623	251	1	introduction	introduction	NOUN
ap-7623	251	2	to	to	ADP
ap-7623	251	3	quantum	quantum	ADJ
ap-7623	251	4	mechanics	mechanic	NOUN
ap-7623	251	5	:	:	PUNCT
ap-7623	251	6	schrödinger	schrödinger	ADJ
ap-7623	251	7	equation	equation	NOUN
ap-7623	251	8	and	and	CCONJ
ap-7623	251	9	path	path	NOUN
ap-7623	251	10	integral	integral	ADJ
ap-7623	251	11	.	.	PUNCT
ap-7623	252	1	world	world	PROPN
ap-7623	252	2	scientific	scientific	PROPN
ap-7623	252	3	,	,	PUNCT
ap-7623	252	4	singapore	singapore	PROPN
ap-7623	252	5	,	,	PUNCT
ap-7623	252	6	2006	2006	NUM
ap-7623	252	7	.	.	PUNCT
ap-7623	253	1	isbn	isbn	PROPN
ap-7623	253	2	9789814397735	9789814397735	NUM
ap-7623	253	3	.	.	PUNCT
ap-7623	254	1	89	89	NUM
ap-7623	254	2	https://doi.org/10.4153/cjm-1950-012-1	https://doi.org/10.4153/cjm-1950-012-1	PROPN
ap-7623	254	3	https://doi.org/10.1016/0370-2693(74)90058-6	https://doi.org/10.1016/0370-2693(74)90058-6	PROPN
ap-7623	254	4	https://doi.org/10.1103/physrevlett.48.975	https://doi.org/10.1103/physrevlett.48.975	PROPN
ap-7623	254	5	https://doi.org/10.1103/physrevlett.49.957	https://doi.org/10.1103/physrevlett.49.957	NOUN
ap-7623	254	6	https://doi.org/10.1103/physrevlett.51.2077	https://doi.org/10.1103/physrevlett.51.2077	X
ap-7623	254	7	https://doi.org/10.1103/physrevlett.52.18	https://doi.org/10.1103/physrevlett.52.18	X
ap-7623	254	8	https://doi.org/10.1103/physrevlett.53.1615	https://doi.org/10.1103/physrevlett.53.1615	PROPN
ap-7623	254	9	https://doi.org/10.1103/physrevlett.57.1195	https://doi.org/10.1103/physrevlett.57.1195	ADJ
ap-7623	254	10	https://doi.org/10.1103/physrevb.19.4486	https://doi.org/10.1103/physrevb.19.4486	PROPN
ap-7623	254	11	https://doi.org/10.1070/pu1987v030n05abeh002884	https://doi.org/10.1070/pu1987v030n05abeh002884	PROPN
ap-7623	254	12	https://doi.org/10.1103/physrevb.39.9679	https://doi.org/10.1103/physrevb.39.9679	NOUN
ap-7623	255	1	https://doi.org/10.1016/0550-3213(90)90439-k	https://doi.org/10.1016/0550-3213(90)90439-k	ADJ
ap-7623	255	2	https://doi.org/10.1103/physrevd.43.1323	https://doi.org/10.1103/physrevd.43.1323	PROPN
ap-7623	255	3	https://doi.org/10.1103/revmodphys.64.193	https://doi.org/10.1103/revmodphys.64.193	NOUN
ap-7623	255	4	https://doi.org/10.1139/p00-002	https://doi.org/10.1139/p00-002	NOUN
ap-7623	256	1	https://doi.org/10.1023/a:1014058806710	https://doi.org/10.1023/a:1014058806710	PROPN
ap-7623	256	2	https://doi.org/10.1139/p07-176	https://doi.org/10.1139/p07-176	PROPN
ap-7623	256	3	https://doi.org/10.1088/0031-8949/79/04/045001	https://doi.org/10.1088/0031-8949/79/04/045001	PROPN
ap-7623	256	4	acta	acta	PROPN
ap-7623	256	5	polytechnica	polytechnica	PROPN
ap-7623	256	6	62(1):85–89	62(1):85–89	NOUN
ap-7623	256	7	,	,	PUNCT
ap-7623	256	8	2022	2022	NUM
ap-7623	256	9	1	1	NUM
ap-7623	256	10	introduction	introduction	NOUN
ap-7623	256	11	2	2	NUM
ap-7623	256	12	hamiltonian	hamiltonian	ADJ
ap-7623	256	13	formulation	formulation	NOUN
ap-7623	256	14	acknowledgements	acknowledgement	NOUN
ap-7623	256	15	references	reference	NOUN