id	sid	tid	token	lemma	pos
ap-1211	1	1	ap-3-10.dvi	ap-3-10.dvi	PROPN
ap-1211	1	2	acta	acta	PROPN
ap-1211	1	3	polytechnica	polytechnica	PROPN
ap-1211	1	4	vol	vol	NOUN
ap-1211	1	5	.	.	PROPN
ap-1211	2	1	50	50	NUM
ap-1211	2	2	no	no	NOUN
ap-1211	2	3	.	.	PUNCT
ap-1211	3	1	3/2010	3/2010	NUM
ap-1211	3	2	maxwell	maxwell	NOUN
ap-1211	3	3	-	-	PUNCT
ap-1211	3	4	chern	chern	PROPN
ap-1211	3	5	-	-	PUNCT
ap-1211	3	6	simons	simon	NOUN
ap-1211	3	7	models	model	NOUN
ap-1211	3	8	:	:	PUNCT
ap-1211	3	9	their	their	PRON
ap-1211	3	10	symmetries	symmetry	NOUN
ap-1211	3	11	,	,	PUNCT
ap-1211	3	12	exact	exact	ADJ
ap-1211	3	13	solutions	solution	NOUN
ap-1211	3	14	and	and	CCONJ
ap-1211	3	15	non	non	ADJ
ap-1211	3	16	-	-	ADJ
ap-1211	3	17	relativistic	relativistic	ADJ
ap-1211	3	18	limits	limit	NOUN
ap-1211	3	19	j.	j.	PROPN
ap-1211	3	20	niederle	niederle	PROPN
ap-1211	3	21	,	,	PUNCT
ap-1211	3	22	a.	a.	PROPN
ap-1211	3	23	g.	g.	PROPN
ap-1211	3	24	nikitin	nikitin	PROPN
ap-1211	3	25	,	,	PUNCT
ap-1211	3	26	o.	o.	PROPN
ap-1211	3	27	kuriksha	kuriksha	PROPN
ap-1211	3	28	abstract	abstract	ADJ
ap-1211	3	29	two	two	NUM
ap-1211	3	30	maxwell	maxwell	NOUN
ap-1211	3	31	-	-	PUNCT
ap-1211	3	32	chern	chern	NOUN
ap-1211	3	33	-	-	PUNCT
ap-1211	3	34	simons	simon	NOUN
ap-1211	3	35	(	(	PUNCT
ap-1211	3	36	mcs	mcs	NOUN
ap-1211	3	37	)	)	PUNCT
ap-1211	3	38	models	model	NOUN
ap-1211	3	39	in	in	ADP
ap-1211	3	40	the	the	DET
ap-1211	3	41	(	(	PUNCT
ap-1211	3	42	1	1	NUM
ap-1211	3	43	+	+	NOUN
ap-1211	3	44	3)-dimensional	3)-dimensional	PROPN
ap-1211	3	45	space	space	NOUN
ap-1211	3	46	-	-	PUNCT
ap-1211	3	47	space	space	NOUN
ap-1211	3	48	are	be	AUX
ap-1211	3	49	discussed	discuss	VERB
ap-1211	3	50	and	and	CCONJ
ap-1211	3	51	families	family	NOUN
ap-1211	3	52	of	of	ADP
ap-1211	3	53	their	their	PRON
ap-1211	3	54	exact	exact	ADJ
ap-1211	3	55	solutions	solution	NOUN
ap-1211	3	56	are	be	AUX
ap-1211	3	57	found	find	VERB
ap-1211	3	58	.	.	PUNCT
ap-1211	4	1	in	in	ADP
ap-1211	4	2	contrast	contrast	NOUN
ap-1211	4	3	to	to	ADP
ap-1211	4	4	the	the	DET
ap-1211	4	5	carroll	carroll	NOUN
ap-1211	4	6	-	-	PUNCT
ap-1211	4	7	field	field	NOUN
ap-1211	4	8	-	-	PUNCT
ap-1211	4	9	jackiw	jackiw	NOUN
ap-1211	4	10	(	(	PUNCT
ap-1211	4	11	cfe	cfe	PROPN
ap-1211	4	12	)	)	PUNCT
ap-1211	4	13	model	model	NOUN
ap-1211	4	14	[	[	X
ap-1211	4	15	2	2	X
ap-1211	4	16	]	]	PUNCT
ap-1211	4	17	these	these	DET
ap-1211	4	18	systems	system	NOUN
ap-1211	4	19	are	be	AUX
ap-1211	4	20	relativistically	relativistically	ADV
ap-1211	4	21	invariant	invariant	ADJ
ap-1211	4	22	and	and	CCONJ
ap-1211	4	23	include	include	VERB
ap-1211	4	24	the	the	DET
ap-1211	4	25	cfj	cfj	NOUN
ap-1211	4	26	model	model	NOUN
ap-1211	4	27	as	as	ADP
ap-1211	4	28	a	a	DET
ap-1211	4	29	particular	particular	ADJ
ap-1211	4	30	sector	sector	NOUN
ap-1211	4	31	.	.	PUNCT
ap-1211	5	1	using	use	VERB
ap-1211	5	2	the	the	DET
ap-1211	5	3	inönü-wigner	inönü-wign	ADJ
ap-1211	5	4	contraction	contraction	NOUN
ap-1211	5	5	a	a	DET
ap-1211	5	6	galilei	galilei	NOUN
ap-1211	5	7	-	-	PUNCT
ap-1211	5	8	invariant	invariant	ADJ
ap-1211	5	9	non	non	ADJ
ap-1211	5	10	-	-	ADJ
ap-1211	5	11	relativistic	relativistic	ADJ
ap-1211	5	12	limit	limit	NOUN
ap-1211	5	13	of	of	ADP
ap-1211	5	14	the	the	DET
ap-1211	5	15	systems	system	NOUN
ap-1211	5	16	is	be	AUX
ap-1211	5	17	found	find	VERB
ap-1211	5	18	,	,	PUNCT
ap-1211	5	19	which	which	PRON
ap-1211	5	20	makes	make	VERB
ap-1211	5	21	possible	possible	ADJ
ap-1211	5	22	to	to	PART
ap-1211	5	23	find	find	VERB
ap-1211	5	24	a	a	DET
ap-1211	5	25	galilean	galilean	PROPN
ap-1211	5	26	formulation	formulation	NOUN
ap-1211	5	27	of	of	ADP
ap-1211	5	28	the	the	DET
ap-1211	5	29	cfj	cfj	PROPN
ap-1211	5	30	model	model	NOUN
ap-1211	5	31	.	.	PUNCT
ap-1211	6	1	1	1	NUM
ap-1211	6	2	introduction	introduction	NOUN
ap-1211	6	3	there	there	PRON
ap-1211	6	4	are	be	VERB
ap-1211	6	5	three	three	NUM
ap-1211	6	6	motivations	motivation	NOUN
ap-1211	6	7	of	of	ADP
ap-1211	6	8	the	the	DET
ap-1211	6	9	present	present	ADJ
ap-1211	6	10	paper	paper	NOUN
ap-1211	6	11	.	.	PUNCT
ap-1211	7	1	first	first	ADV
ap-1211	7	2	we	we	PRON
ap-1211	7	3	search	search	VERB
ap-1211	7	4	for	for	ADP
ap-1211	7	5	four	four	NUM
ap-1211	7	6	-	-	PUNCT
ap-1211	7	7	dimensional	dimensional	ADJ
ap-1211	7	8	formulations	formulation	NOUN
ap-1211	7	9	of	of	ADP
ap-1211	7	10	maxwell	maxwell	PROPN
ap-1211	7	11	-	-	PUNCT
ap-1211	7	12	chern	chern	PROPN
ap-1211	7	13	-	-	PUNCT
ap-1211	7	14	simon	simon	PROPN
ap-1211	7	15	models	model	NOUN
ap-1211	7	16	[	[	X
ap-1211	7	17	1	1	NUM
ap-1211	7	18	]	]	PUNCT
ap-1211	7	19	.	.	PUNCT
ap-1211	8	1	secondly	secondly	ADV
ap-1211	8	2	,	,	PUNCT
ap-1211	8	3	we	we	PRON
ap-1211	8	4	look	look	VERB
ap-1211	8	5	for	for	ADP
ap-1211	8	6	relativisticand	relativisticand	NOUN
ap-1211	8	7	galilei	galilei	NOUN
ap-1211	8	8	-	-	PUNCT
ap-1211	8	9	invariant	invariant	ADJ
ap-1211	8	10	versions	version	NOUN
ap-1211	8	11	of	of	ADP
ap-1211	8	12	the	the	DET
ap-1211	8	13	carroll	carroll	NOUN
ap-1211	8	14	-	-	PUNCT
ap-1211	8	15	field	field	NOUN
ap-1211	8	16	-	-	PUNCT
ap-1211	8	17	jackiw	jackiw	NOUN
ap-1211	8	18	electrodynamics	electrodynamic	NOUN
ap-1211	8	19	[	[	X
ap-1211	8	20	2	2	NUM
ap-1211	8	21	]	]	PUNCT
ap-1211	8	22	.	.	PUNCT
ap-1211	9	1	at	at	ADP
ap-1211	9	2	the	the	DET
ap-1211	9	3	third	third	ADJ
ap-1211	9	4	place	place	NOUN
ap-1211	9	5	we	we	PRON
ap-1211	9	6	construct	construct	VERB
ap-1211	9	7	a	a	DET
ap-1211	9	8	relativistic	relativistic	ADJ
ap-1211	9	9	counterpart	counterpart	NOUN
ap-1211	9	10	of	of	ADP
ap-1211	9	11	the	the	DET
ap-1211	9	12	galilei	galilei	NOUN
ap-1211	9	13	-	-	PUNCT
ap-1211	9	14	invariant	invariant	ADJ
ap-1211	9	15	equations	equation	NOUN
ap-1211	9	16	for	for	ADP
ap-1211	9	17	vector	vector	NOUN
ap-1211	9	18	fields	field	NOUN
ap-1211	9	19	proposed	propose	VERB
ap-1211	9	20	in	in	ADP
ap-1211	9	21	our	our	PRON
ap-1211	9	22	paper	paper	NOUN
ap-1211	9	23	[	[	X
ap-1211	9	24	3	3	NUM
ap-1211	9	25	]	]	PUNCT
ap-1211	9	26	.	.	PUNCT
ap-1211	10	1	there	there	PRON
ap-1211	10	2	are	be	VERB
ap-1211	10	3	two	two	NUM
ap-1211	10	4	symmetries	symmetry	NOUN
ap-1211	10	5	of	of	ADP
ap-1211	10	6	maxwell	maxwell	PROPN
ap-1211	10	7	’s	’s	PART
ap-1211	10	8	electrodynamics	electrodynamic	NOUN
ap-1211	10	9	that	that	PRON
ap-1211	10	10	have	have	AUX
ap-1211	10	11	dominated	dominate	VERB
ap-1211	10	12	all	all	DET
ap-1211	10	13	fundamental	fundamental	ADJ
ap-1211	10	14	physical	physical	ADJ
ap-1211	10	15	theories	theory	NOUN
ap-1211	10	16	,	,	PUNCT
ap-1211	10	17	namely	namely	ADV
ap-1211	10	18	,	,	PUNCT
ap-1211	10	19	gauge	gauge	NOUN
ap-1211	10	20	and	and	CCONJ
ap-1211	10	21	lorentz	lorentz	PROPN
ap-1211	10	22	invariance	invariance	NOUN
ap-1211	10	23	.	.	PUNCT
ap-1211	11	1	they	they	PRON
ap-1211	11	2	provide	provide	VERB
ap-1211	11	3	physical	physical	ADJ
ap-1211	11	4	principles	principle	NOUN
ap-1211	11	5	that	that	PRON
ap-1211	11	6	guide	guide	VERB
ap-1211	11	7	the	the	DET
ap-1211	11	8	invention	invention	NOUN
ap-1211	11	9	of	of	ADP
ap-1211	11	10	models	model	NOUN
ap-1211	11	11	describing	describe	VERB
ap-1211	11	12	fundamental	fundamental	ADJ
ap-1211	11	13	phenomena	phenomenon	NOUN
ap-1211	11	14	.	.	PUNCT
ap-1211	12	1	at	at	ADP
ap-1211	12	2	the	the	DET
ap-1211	12	3	first	first	ADJ
ap-1211	12	4	place	place	NOUN
ap-1211	12	5	,	,	PUNCT
ap-1211	12	6	the	the	DET
ap-1211	12	7	properties	property	NOUN
ap-1211	12	8	of	of	ADP
ap-1211	12	9	the	the	DET
ap-1211	12	10	electromagnetic	electromagnetic	ADJ
ap-1211	12	11	radiation	radiation	NOUN
ap-1211	12	12	(	(	PUNCT
ap-1211	12	13	in	in	ADP
ap-1211	12	14	a	a	DET
ap-1211	12	15	natural	natural	ADJ
ap-1211	12	16	setting	setting	NOUN
ap-1211	12	17	and	and	CCONJ
ap-1211	12	18	in	in	ADP
ap-1211	12	19	he	he	PRON
ap-1211	12	20	accelerators	accelerator	NOUN
ap-1211	12	21	)	)	PUNCT
ap-1211	12	22	are	be	AUX
ap-1211	12	23	described	describe	VERB
ap-1211	12	24	by	by	ADP
ap-1211	12	25	lorentz	lorentz	PROPN
ap-1211	12	26	-	-	PUNCT
ap-1211	12	27	invariant	invariant	ADJ
ap-1211	12	28	dynamics	dynamic	NOUN
ap-1211	12	29	.	.	PUNCT
ap-1211	13	1	on	on	ADP
ap-1211	13	2	the	the	DET
ap-1211	13	3	other	other	ADJ
ap-1211	13	4	hand	hand	NOUN
ap-1211	13	5	,	,	PUNCT
ap-1211	13	6	the	the	DET
ap-1211	13	7	gauge	gauge	ADJ
ap-1211	13	8	invariance	invariance	NOUN
ap-1211	13	9	is	be	AUX
ap-1211	13	10	possible	possible	ADJ
ap-1211	13	11	for	for	ADP
ap-1211	13	12	massless	massless	ADJ
ap-1211	13	13	field	field	NOUN
ap-1211	13	14	only	only	ADV
ap-1211	13	15	,	,	PUNCT
ap-1211	13	16	and	and	CCONJ
ap-1211	13	17	so	so	ADV
ap-1211	13	18	it	it	PRON
ap-1211	13	19	is	be	AUX
ap-1211	13	20	validated	validate	VERB
ap-1211	13	21	by	by	ADP
ap-1211	13	22	the	the	DET
ap-1211	13	23	stringent	stringent	ADJ
ap-1211	13	24	limits	limit	NOUN
ap-1211	13	25	on	on	ADP
ap-1211	13	26	the	the	DET
ap-1211	13	27	photon	photon	NOUN
ap-1211	13	28	mass	mass	NOUN
ap-1211	13	29	mγ	mγ	PROPN
ap-1211	13	30	.	.	PUNCT
ap-1211	14	1	possible	possible	ADJ
ap-1211	14	2	breaking	breaking	NOUN
ap-1211	14	3	of	of	ADP
ap-1211	14	4	the	the	DET
ap-1211	14	5	lorentz	lorentz	PROPN
ap-1211	14	6	and	and	CCONJ
ap-1211	14	7	gauge	gauge	NOUN
ap-1211	14	8	invariance	invariance	NOUN
ap-1211	14	9	has	have	AUX
ap-1211	14	10	been	be	AUX
ap-1211	14	11	tested	test	VERB
ap-1211	14	12	within	within	ADP
ap-1211	14	13	a	a	DET
ap-1211	14	14	theoretical	theoretical	ADJ
ap-1211	14	15	framework	framework	NOUN
ap-1211	14	16	with	with	ADP
ap-1211	14	17	symmetry	symmetry	NOUN
ap-1211	14	18	breaking	break	VERB
ap-1211	14	19	parameters	parameter	NOUN
ap-1211	14	20	.	.	PUNCT
ap-1211	15	1	the	the	DET
ap-1211	15	2	violation	violation	NOUN
ap-1211	15	3	of	of	ADP
ap-1211	15	4	gauge	gauge	ADJ
ap-1211	15	5	invariance	invariance	NOUN
ap-1211	15	6	was	be	AUX
ap-1211	15	7	tested	test	VERB
ap-1211	15	8	in	in	ADP
ap-1211	15	9	frames	frame	NOUN
ap-1211	15	10	of	of	ADP
ap-1211	15	11	two	two	NUM
ap-1211	15	12	modifications	modification	NOUN
ap-1211	15	13	of	of	ADP
ap-1211	15	14	the	the	DET
ap-1211	15	15	maxwell	maxwell	PROPN
ap-1211	15	16	theory	theory	NOUN
ap-1211	15	17	.	.	PUNCT
ap-1211	16	1	in	in	ADP
ap-1211	16	2	the	the	DET
ap-1211	16	3	first	first	ADJ
ap-1211	16	4	of	of	ADP
ap-1211	16	5	them	they	PRON
ap-1211	16	6	the	the	DET
ap-1211	16	7	lagrangian	lagrangian	NOUN
ap-1211	16	8	of	of	ADP
ap-1211	16	9	the	the	DET
ap-1211	16	10	free	free	PROPN
ap-1211	16	11	e.m	e.m	PROPN
ap-1211	16	12	.	.	PROPN
ap-1211	16	13	field	field	NOUN
ap-1211	16	14	lem	lem	PROPN
ap-1211	17	1	=	=	X
ap-1211	17	2	−fμνfμν	−fμνfμν	PROPN
ap-1211	17	3	is	be	AUX
ap-1211	17	4	modified	modify	VERB
ap-1211	17	5	to	to	PART
ap-1211	17	6	lem	lem	VERB
ap-1211	17	7	→	→	SYM
ap-1211	17	8	lem	lem	X
ap-1211	18	1	+	+	CCONJ
ap-1211	18	2	m2γ	m2γ	DET
ap-1211	18	3	2	2	NUM
ap-1211	18	4	aνaν	aνaν	NOUN
ap-1211	18	5	where	where	SCONJ
ap-1211	18	6	fμν	fμν	NOUN
ap-1211	18	7	=	=	SYM
ap-1211	18	8	∂μaν	∂μaν	PUNCT
ap-1211	18	9	−	−	PROPN
ap-1211	18	10	∂νaμ	∂νaμ	PRON
ap-1211	18	11	is	be	AUX
ap-1211	18	12	the	the	DET
ap-1211	18	13	tensor	tensor	NOUN
ap-1211	18	14	of	of	ADP
ap-1211	18	15	e.m	e.m	PROPN
ap-1211	18	16	.	.	PROPN
ap-1211	18	17	field	field	NOUN
ap-1211	18	18	and	and	CCONJ
ap-1211	18	19	aν	aν	NOUN
ap-1211	18	20	is	be	AUX
ap-1211	18	21	the	the	DET
ap-1211	18	22	four	four	NUM
ap-1211	18	23	-	-	PUNCT
ap-1211	18	24	vector	vector	NOUN
ap-1211	18	25	of	of	ADP
ap-1211	18	26	the	the	DET
ap-1211	18	27	photon	photon	NOUN
ap-1211	18	28	field	field	NOUN
ap-1211	18	29	.	.	PUNCT
ap-1211	19	1	this	this	DET
ap-1211	19	2	field	field	NOUN
ap-1211	19	3	aν	aν	NOUN
ap-1211	19	4	is	be	AUX
ap-1211	19	5	massive	massive	ADJ
ap-1211	19	6	and	and	CCONJ
ap-1211	19	7	so	so	ADV
ap-1211	19	8	the	the	DET
ap-1211	19	9	gauge	gauge	ADJ
ap-1211	19	10	invariance	invariance	NOUN
ap-1211	19	11	is	be	AUX
ap-1211	19	12	lost	lose	VERB
ap-1211	19	13	.	.	PUNCT
ap-1211	20	1	the	the	DET
ap-1211	20	2	breaking	breaking	NOUN
ap-1211	20	3	of	of	ADP
ap-1211	20	4	gauge	gauge	NOUN
ap-1211	20	5	invariance	invariance	NOUN
ap-1211	20	6	caused	cause	VERB
ap-1211	20	7	by	by	ADP
ap-1211	20	8	presence	presence	NOUN
ap-1211	20	9	of	of	ADP
ap-1211	20	10	massive	massive	ADJ
ap-1211	20	11	termm2γ	termm2γ	NOUN
ap-1211	20	12	has	have	AUX
ap-1211	20	13	been	be	AUX
ap-1211	20	14	tested	test	VERB
ap-1211	20	15	with	with	ADP
ap-1211	20	16	geomagnetic	geomagnetic	ADJ
ap-1211	20	17	and	and	CCONJ
ap-1211	20	18	galactic	galactic	ADJ
ap-1211	20	19	magnetic	magnetic	ADJ
ap-1211	20	20	data	datum	NOUN
ap-1211	20	21	.	.	PUNCT
ap-1211	21	1	as	as	ADP
ap-1211	21	2	a	a	DET
ap-1211	21	3	result	result	NOUN
ap-1211	21	4	,	,	PUNCT
ap-1211	21	5	the	the	DET
ap-1211	21	6	limits	limit	NOUN
ap-1211	21	7	for	for	ADP
ap-1211	21	8	parameter	parameter	NOUN
ap-1211	21	9	m2γ	m2γ	NOUN
ap-1211	21	10	have	have	AUX
ap-1211	21	11	been	be	AUX
ap-1211	21	12	obtained	obtain	VERB
ap-1211	21	13	in	in	ADP
ap-1211	21	14	the	the	DET
ap-1211	21	15	form	form	NOUN
ap-1211	22	1	mγ	mγ	NOUN
ap-1211	22	2	≤	≤	ADV
ap-1211	22	3	3	3	NUM
ap-1211	22	4	·	·	PUNCT
ap-1211	23	1	10−24	10−24	ADV
ap-1211	23	2	and	and	CCONJ
ap-1211	23	3	mγ	mγ	PRON
ap-1211	23	4	≤	≤	ADV
ap-1211	23	5	3	3	NUM
ap-1211	23	6	·	·	SYM
ap-1211	23	7	10−36	10−36	NOUN
ap-1211	23	8	,	,	PUNCT
ap-1211	23	9	correspondingly	correspondingly	ADV
ap-1211	23	10	.	.	PUNCT
ap-1211	24	1	the	the	DET
ap-1211	24	2	other	other	ADJ
ap-1211	24	3	modification	modification	NOUN
ap-1211	24	4	of	of	ADP
ap-1211	24	5	the	the	DET
ap-1211	24	6	maxwell	maxwell	PROPN
ap-1211	24	7	lagrangian	lagrangian	PROPN
ap-1211	24	8	was	be	AUX
ap-1211	24	9	proposed	propose	VERB
ap-1211	24	10	by	by	ADP
ap-1211	24	11	carroll	carroll	PROPN
ap-1211	24	12	,	,	PUNCT
ap-1211	24	13	field	field	NOUN
ap-1211	24	14	and	and	CCONJ
ap-1211	24	15	jackiw	jackiw	NOUN
ap-1211	24	16	:	:	PUNCT
ap-1211	25	1	lem	lem	PROPN
ap-1211	25	2	→	→	PUNCT
ap-1211	25	3	l	l	NOUN
ap-1211	25	4	=	=	SYM
ap-1211	25	5	lem	lem	PROPN
ap-1211	25	6	+	+	CCONJ
ap-1211	25	7	lcs	lcs	PROPN
ap-1211	25	8	(	(	PUNCT
ap-1211	25	9	1	1	NUM
ap-1211	25	10	)	)	PUNCT
ap-1211	25	11	where	where	SCONJ
ap-1211	25	12	lcs	lcs	PROPN
ap-1211	25	13	is	be	AUX
ap-1211	25	14	a	a	DET
ap-1211	25	15	four	four	NUM
ap-1211	25	16	-	-	PUNCT
ap-1211	25	17	dimensional	dimensional	ADJ
ap-1211	25	18	version	version	NOUN
ap-1211	25	19	of	of	ADP
ap-1211	25	20	the	the	DET
ap-1211	25	21	chernsimons	chernsimon	NOUN
ap-1211	25	22	term	term	NOUN
ap-1211	25	23	:	:	PUNCT
ap-1211	25	24	lcs	lcs	PROPN
ap-1211	25	25	=	=	NOUN
ap-1211	26	1	1	1	NUM
ap-1211	26	2	4	4	NUM
ap-1211	26	3	εμνρσfμaνf	εμνρσfμaνf	ADP
ap-1211	26	4	ρσ	ρσ	PROPN
ap-1211	26	5	.	.	PUNCT
ap-1211	27	1	(	(	PUNCT
ap-1211	27	2	2	2	X
ap-1211	27	3	)	)	PUNCT
ap-1211	27	4	here	here	ADV
ap-1211	27	5	pμ	pμ	NOUN
ap-1211	27	6	is	be	AUX
ap-1211	27	7	a	a	DET
ap-1211	27	8	constant	constant	ADJ
ap-1211	27	9	vector	vector	NOUN
ap-1211	27	10	which	which	PRON
ap-1211	27	11	causes	cause	VERB
ap-1211	27	12	violation	violation	NOUN
ap-1211	27	13	of	of	ADP
ap-1211	27	14	the	the	DET
ap-1211	27	15	lorentz	lorentz	PROPN
ap-1211	27	16	-	-	PUNCT
ap-1211	27	17	invariance	invariance	NOUN
ap-1211	27	18	.	.	PUNCT
ap-1211	28	1	the	the	DET
ap-1211	28	2	cfj	cfj	PROPN
ap-1211	28	3	model	model	NOUN
ap-1211	28	4	presents	present	VERB
ap-1211	28	5	a	a	DET
ap-1211	28	6	rather	rather	ADV
ap-1211	28	7	elegant	elegant	ADJ
ap-1211	28	8	and	and	CCONJ
ap-1211	28	9	convenient	convenient	ADJ
ap-1211	28	10	way	way	NOUN
ap-1211	28	11	for	for	ADP
ap-1211	28	12	testing	test	VERB
ap-1211	28	13	possible	possible	ADJ
ap-1211	28	14	violation	violation	NOUN
ap-1211	28	15	of	of	ADP
ap-1211	28	16	the	the	DET
ap-1211	28	17	lorentz	lorentz	PROPN
ap-1211	28	18	-	-	PUNCT
ap-1211	28	19	invariance	invariance	NOUN
ap-1211	28	20	,	,	PUNCT
ap-1211	28	21	which	which	PRON
ap-1211	28	22	causes	cause	VERB
ap-1211	28	23	its	its	PRON
ap-1211	28	24	large	large	ADJ
ap-1211	28	25	impact	impact	NOUN
ap-1211	28	26	.	.	PUNCT
ap-1211	29	1	but	but	CCONJ
ap-1211	29	2	this	this	DET
ap-1211	29	3	model	model	NOUN
ap-1211	29	4	has	have	VERB
ap-1211	29	5	a	a	DET
ap-1211	29	6	principle	principle	ADJ
ap-1211	29	7	disadvantage	disadvantage	NOUN
ap-1211	29	8	,	,	PUNCT
ap-1211	29	9	namely	namely	ADV
ap-1211	29	10	,	,	PUNCT
ap-1211	29	11	the	the	DET
ap-1211	29	12	breaking	breaking	NOUN
ap-1211	29	13	of	of	ADP
ap-1211	29	14	the	the	DET
ap-1211	29	15	lorentz	lorentz	PROPN
ap-1211	29	16	-	-	PUNCT
ap-1211	29	17	invariance	invariance	NOUN
ap-1211	29	18	“	"	PUNCT
ap-1211	29	19	by	by	ADP
ap-1211	29	20	hands	hand	NOUN
ap-1211	29	21	”	"	PUNCT
ap-1211	29	22	and	and	CCONJ
ap-1211	29	23	the	the	DET
ap-1211	29	24	additional	additional	ADJ
ap-1211	29	25	constants	constant	NOUN
ap-1211	29	26	pμ	pμ	NOUN
ap-1211	29	27	have	have	VERB
ap-1211	29	28	no	no	DET
ap-1211	29	29	physical	physical	ADJ
ap-1211	29	30	meaning	meaning	NOUN
ap-1211	29	31	.	.	PUNCT
ap-1211	30	1	in	in	ADP
ap-1211	30	2	addition	addition	NOUN
ap-1211	30	3	,	,	PUNCT
ap-1211	30	4	this	this	DET
ap-1211	30	5	model	model	NOUN
ap-1211	30	6	is	be	AUX
ap-1211	30	7	invariant	invariant	ADJ
ap-1211	30	8	with	with	ADP
ap-1211	30	9	respect	respect	NOUN
ap-1211	30	10	to	to	ADP
ap-1211	30	11	neither	neither	CCONJ
ap-1211	30	12	the	the	DET
ap-1211	30	13	lorentz	lorentz	PROPN
ap-1211	30	14	nor	nor	CCONJ
ap-1211	30	15	poincaré	poincaré	ADJ
ap-1211	30	16	group	group	NOUN
ap-1211	30	17	,	,	PUNCT
ap-1211	30	18	i.e.	i.e.	X
ap-1211	30	19	it	it	PRON
ap-1211	30	20	does	do	AUX
ap-1211	30	21	not	not	PART
ap-1211	30	22	satisfy	satisfy	VERB
ap-1211	30	23	any	any	DET
ap-1211	30	24	relativity	relativity	NOUN
ap-1211	30	25	principle	principle	NOUN
ap-1211	30	26	accepted	accept	VERB
ap-1211	30	27	in	in	ADP
ap-1211	30	28	physics	physics	NOUN
ap-1211	30	29	.	.	PUNCT
ap-1211	31	1	in	in	ADP
ap-1211	31	2	the	the	DET
ap-1211	31	3	following	follow	VERB
ap-1211	31	4	sections	section	NOUN
ap-1211	31	5	we	we	PRON
ap-1211	31	6	discuss	discuss	VERB
ap-1211	31	7	two	two	NUM
ap-1211	31	8	dynamical	dynamical	ADJ
ap-1211	31	9	versions	version	NOUN
ap-1211	31	10	of	of	ADP
ap-1211	31	11	the	the	DET
ap-1211	31	12	cfj	cfj	NOUN
ap-1211	31	13	model	model	NOUN
ap-1211	31	14	which	which	PRON
ap-1211	31	15	contain	contain	VERB
ap-1211	31	16	the	the	DET
ap-1211	31	17	ordinary	ordinary	ADJ
ap-1211	31	18	cfj	cfj	NOUN
ap-1211	31	19	model	model	NOUN
ap-1211	31	20	as	as	ADP
ap-1211	31	21	a	a	DET
ap-1211	31	22	particular	particular	ADJ
ap-1211	31	23	sector	sector	NOUN
ap-1211	31	24	.	.	PUNCT
ap-1211	32	1	one	one	NUM
ap-1211	32	2	of	of	ADP
ap-1211	32	3	them	they	PRON
ap-1211	32	4	is	be	AUX
ap-1211	32	5	very	very	ADV
ap-1211	32	6	similar	similar	ADJ
ap-1211	32	7	to	to	ADP
ap-1211	32	8	axion	axion	PROPN
ap-1211	32	9	electrodynamics	electrodynamic	NOUN
ap-1211	32	10	in	in	ADP
ap-1211	32	11	which	which	PRON
ap-1211	32	12	,	,	PUNCT
ap-1211	32	13	however	however	ADV
ap-1211	32	14	,	,	PUNCT
ap-1211	32	15	the	the	DET
ap-1211	32	16	axion	axion	PROPN
ap-1211	32	17	rest	rest	NOUN
ap-1211	32	18	mass	mass	NOUN
ap-1211	32	19	is	be	AUX
ap-1211	32	20	zero	zero	NUM
ap-1211	32	21	.	.	PUNCT
ap-1211	33	1	the	the	DET
ap-1211	33	2	other	other	ADJ
ap-1211	33	3	includes	include	VERB
ap-1211	33	4	axion	axion	PROPN
ap-1211	33	5	electrodynamics	electrodynamic	NOUN
ap-1211	33	6	as	as	ADP
ap-1211	33	7	a	a	DET
ap-1211	33	8	limiting	limit	VERB
ap-1211	33	9	case	case	NOUN
ap-1211	33	10	corresponding	correspond	VERB
ap-1211	33	11	to	to	ADP
ap-1211	33	12	a	a	DET
ap-1211	33	13	small	small	ADJ
ap-1211	33	14	coupling	coupling	NOUN
ap-1211	33	15	constant	constant	ADJ
ap-1211	33	16	.	.	PUNCT
ap-1211	34	1	2	2	NUM
ap-1211	34	2	the	the	DET
ap-1211	34	3	mcs	mcs	PROPN
ap-1211	34	4	model	model	NOUN
ap-1211	34	5	in	in	ADP
ap-1211	34	6	the	the	DET
ap-1211	34	7	(	(	PUNCT
ap-1211	34	8	1	1	NUM
ap-1211	34	9	+	+	NUM
ap-1211	34	10	3)-dimensional	3)-dimensional	NUM
ap-1211	34	11	minkovski	minkovski	ADJ
ap-1211	34	12	space	space	NOUN
ap-1211	34	13	let	let	VERB
ap-1211	34	14	us	we	PRON
ap-1211	34	15	start	start	VERB
ap-1211	34	16	with	with	ADP
ap-1211	34	17	the	the	DET
ap-1211	34	18	following	following	ADJ
ap-1211	34	19	lagrangian	lagrangian	ADJ
ap-1211	34	20	l=−1	l=−1	ADV
ap-1211	34	21	4	4	NUM
ap-1211	34	22	fμνfμν	fμνfμν	NOUN
ap-1211	34	23	−	−	NOUN
ap-1211	34	24	1	1	NUM
ap-1211	34	25	2	2	NUM
ap-1211	34	26	fμfμ	fμfμ	ADP
ap-1211	34	27	−	−	PROPN
ap-1211	34	28	κ	κ	NOUN
ap-1211	34	29	4	4	NUM
ap-1211	34	30	εμνρσfμaνf	εμνρσfμaνf	ADP
ap-1211	34	31	ρσ	ρσ	ADP
ap-1211	34	32	+	+	NUM
ap-1211	34	33	ejμaμ	ejμaμ	NOUN
ap-1211	34	34	+	+	CCONJ
ap-1211	34	35	qj4a	qj4a	NOUN
ap-1211	34	36	4	4	NUM
ap-1211	34	37	.	.	PUNCT
ap-1211	35	1	(	(	PUNCT
ap-1211	35	2	3	3	X
ap-1211	35	3	)	)	PUNCT
ap-1211	35	4	here	here	ADV
ap-1211	35	5	the	the	DET
ap-1211	35	6	greek	greek	NOUN
ap-1211	35	7	indices	index	NOUN
ap-1211	35	8	run	run	VERB
ap-1211	35	9	over	over	ADP
ap-1211	35	10	the	the	DET
ap-1211	35	11	values	value	NOUN
ap-1211	35	12	0,1,2,3	0,1,2,3	NUM
ap-1211	35	13	,	,	PUNCT
ap-1211	35	14	aν	aν	NOUN
ap-1211	35	15	and	and	CCONJ
ap-1211	35	16	fμν	fμν	NOUN
ap-1211	35	17	=	=	SYM
ap-1211	35	18	∂μaν	∂μaν	PUNCT
ap-1211	35	19	−	−	PROPN
ap-1211	35	20	∂νaμ	∂νaμ	NOUN
ap-1211	35	21	are	be	AUX
ap-1211	35	22	the	the	DET
ap-1211	35	23	four	four	NUM
ap-1211	35	24	-	-	PUNCT
ap-1211	35	25	vector	vector	NOUN
ap-1211	35	26	potential	potential	NOUN
ap-1211	35	27	and	and	CCONJ
ap-1211	35	28	tensor	tensor	NOUN
ap-1211	35	29	of	of	ADP
ap-1211	35	30	the	the	DET
ap-1211	35	31	electromagnetic	electromagnetic	ADJ
ap-1211	35	32	field	field	NOUN
ap-1211	35	33	,	,	PUNCT
ap-1211	35	34	respectively	respectively	ADV
ap-1211	35	35	.	.	PUNCT
ap-1211	36	1	in	in	ADP
ap-1211	36	2	addition	addition	NOUN
ap-1211	36	3	,	,	PUNCT
ap-1211	36	4	lagrangian	lagrangian	ADJ
ap-1211	36	5	(	(	PUNCT
ap-1211	36	6	3	3	NUM
ap-1211	36	7	)	)	PUNCT
ap-1211	36	8	includes	include	VERB
ap-1211	36	9	a	a	DET
ap-1211	36	10	scalar	scalar	ADJ
ap-1211	36	11	96	96	NUM
ap-1211	36	12	acta	acta	PROPN
ap-1211	36	13	polytechnica	polytechnica	PROPN
ap-1211	36	14	vol	vol	NOUN
ap-1211	36	15	.	.	PROPN
ap-1211	37	1	50	50	NUM
ap-1211	37	2	no	no	NOUN
ap-1211	37	3	.	.	PUNCT
ap-1211	38	1	3/2010	3/2010	NUM
ap-1211	38	2	potential	potential	ADJ
ap-1211	38	3	a4	a4	NOUN
ap-1211	38	4	and	and	CCONJ
ap-1211	38	5	its	its	PRON
ap-1211	38	6	derivatives	derivative	NOUN
ap-1211	38	7	fμ	fμ	NOUN
ap-1211	38	8	=	=	SYM
ap-1211	38	9	∂a4	∂a4	NOUN
ap-1211	38	10	∂xμ	∂xμ	PROPN
ap-1211	38	11	as	as	ADV
ap-1211	38	12	well	well	ADV
ap-1211	38	13	as	as	ADP
ap-1211	38	14	a	a	DET
ap-1211	38	15	scalar	scalar	ADJ
ap-1211	38	16	current	current	PROPN
ap-1211	38	17	j4	j4	PROPN
ap-1211	38	18	.	.	PUNCT
ap-1211	39	1	the	the	DET
ap-1211	39	2	lagrangian	lagrangian	ADJ
ap-1211	39	3	(	(	PUNCT
ap-1211	39	4	3	3	NUM
ap-1211	39	5	)	)	PUNCT
ap-1211	39	6	has	have	VERB
ap-1211	39	7	the	the	DET
ap-1211	39	8	following	follow	VERB
ap-1211	39	9	nice	nice	ADJ
ap-1211	39	10	properties	property	NOUN
ap-1211	39	11	.	.	PUNCT
ap-1211	40	1	•	•	INTJ
ap-1211	40	2	it	it	PRON
ap-1211	40	3	is	be	AUX
ap-1211	40	4	transparently	transparently	ADV
ap-1211	40	5	invariant	invariant	ADJ
ap-1211	40	6	w.r.t	w.r.t	NOUN
ap-1211	40	7	.	.	PUNCT
ap-1211	41	1	lorentz	lorentz	NOUN
ap-1211	41	2	transformations	transformation	NOUN
ap-1211	41	3	and	and	CCONJ
ap-1211	41	4	shifts	shift	NOUN
ap-1211	41	5	of	of	ADP
ap-1211	41	6	independent	independent	ADJ
ap-1211	41	7	variables	variable	NOUN
ap-1211	41	8	.	.	PUNCT
ap-1211	42	1	moreover	moreover	ADV
ap-1211	42	2	,	,	PUNCT
ap-1211	42	3	since	since	SCONJ
ap-1211	42	4	j4	j4	PROPN
ap-1211	42	5	is	be	AUX
ap-1211	42	6	a	a	DET
ap-1211	42	7	scalar	scalar	NOUN
ap-1211	42	8	,	,	PUNCT
ap-1211	42	9	it	it	PRON
ap-1211	42	10	is	be	AUX
ap-1211	42	11	possible	possible	ADJ
ap-1211	42	12	to	to	PART
ap-1211	42	13	introduce	introduce	VERB
ap-1211	42	14	an	an	DET
ap-1211	42	15	additional	additional	ADJ
ap-1211	42	16	charge	charge	NOUN
ap-1211	42	17	q	q	NOUN
ap-1211	42	18	which	which	PRON
ap-1211	42	19	is	be	AUX
ap-1211	42	20	not	not	PART
ap-1211	42	21	necessarily	necessarily	ADV
ap-1211	42	22	equal	equal	ADJ
ap-1211	42	23	to	to	ADP
ap-1211	42	24	the	the	DET
ap-1211	42	25	electric	electric	ADJ
ap-1211	42	26	charge	charge	NOUN
ap-1211	42	27	e	e	NOUN
ap-1211	42	28	but	but	CCONJ
ap-1211	42	29	in	in	ADP
ap-1211	42	30	general	general	ADJ
ap-1211	42	31	to	to	ADP
ap-1211	42	32	a	a	DET
ap-1211	42	33	coupling	couple	VERB
ap-1211	42	34	constant	constant	ADJ
ap-1211	42	35	corresponding	correspond	VERB
ap-1211	42	36	to	to	ADP
ap-1211	42	37	some	some	DET
ap-1211	42	38	interaction	interaction	NOUN
ap-1211	42	39	which	which	PRON
ap-1211	42	40	is	be	AUX
ap-1211	42	41	not	not	PART
ap-1211	42	42	necessary	necessary	ADJ
ap-1211	42	43	purely	purely	ADV
ap-1211	42	44	electromagnetic	electromagnetic	ADJ
ap-1211	42	45	.	.	PUNCT
ap-1211	43	1	•	•	NUM
ap-1211	43	2	the	the	DET
ap-1211	43	3	corresponding	corresponding	ADJ
ap-1211	43	4	energy	energy	NOUN
ap-1211	43	5	-	-	PUNCT
ap-1211	43	6	momenta	momenta	NOUN
ap-1211	43	7	tensor	tensor	NOUN
ap-1211	43	8	does	do	AUX
ap-1211	43	9	not	not	PART
ap-1211	43	10	depend	depend	VERB
ap-1211	43	11	on	on	ADP
ap-1211	43	12	parameter	parameter	NOUN
ap-1211	43	13	κ	κ	PROPN
ap-1211	43	14	and	and	CCONJ
ap-1211	43	15	so	so	ADV
ap-1211	43	16	is	be	AUX
ap-1211	43	17	not	not	PART
ap-1211	43	18	affected	affect	VERB
ap-1211	43	19	by	by	ADP
ap-1211	43	20	the	the	DET
ap-1211	43	21	term	term	NOUN
ap-1211	43	22	−κ	−κ	NOUN
ap-1211	43	23	4	4	NUM
ap-1211	43	24	εμνρσfμaνf	εμνρσfμaνf	ADP
ap-1211	43	25	ρσ	ρσ	PRON
ap-1211	43	26	.	.	PUNCT
ap-1211	44	1	more	more	ADV
ap-1211	44	2	precisely	precisely	ADV
ap-1211	44	3	,	,	PUNCT
ap-1211	44	4	this	this	DET
ap-1211	44	5	tensor	tensor	NOUN
ap-1211	44	6	has	have	VERB
ap-1211	44	7	the	the	DET
ap-1211	44	8	following	follow	VERB
ap-1211	44	9	form	form	NOUN
ap-1211	44	10	t	t	PROPN
ap-1211	44	11	00	00	PUNCT
ap-1211	45	1	=	=	SYM
ap-1211	45	2	1	1	NUM
ap-1211	45	3	2	2	NUM
ap-1211	45	4	(	(	PUNCT
ap-1211	45	5	e2	e2	PROPN
ap-1211	45	6	+	+	NOUN
ap-1211	45	7	b2	b2	NOUN
ap-1211	45	8	+	+	CCONJ
ap-1211	45	9	f	f	PROPN
ap-1211	45	10	20	20	NUM
ap-1211	45	11	+	+	CCONJ
ap-1211	45	12	f	f	PROPN
ap-1211	45	13	2	2	NUM
ap-1211	45	14	)	)	PUNCT
ap-1211	45	15	,	,	PUNCT
ap-1211	45	16	t	t	PROPN
ap-1211	45	17	0a	0a	X
ap-1211	45	18	=	=	SYM
ap-1211	45	19	1	1	NUM
ap-1211	45	20	2	2	NUM
ap-1211	45	21	(	(	PUNCT
ap-1211	45	22	εabcebbc	εabcebbc	ADJ
ap-1211	45	23	+	+	CCONJ
ap-1211	45	24	f	f	X
ap-1211	45	25	0f	0f	PROPN
ap-1211	45	26	a	a	X
ap-1211	45	27	)	)	PUNCT
ap-1211	45	28	,	,	PUNCT
ap-1211	45	29	(	(	PUNCT
ap-1211	45	30	4	4	X
ap-1211	45	31	)	)	PUNCT
ap-1211	45	32	where	where	SCONJ
ap-1211	45	33	e	e	NOUN
ap-1211	45	34	,	,	PUNCT
ap-1211	45	35	b	b	PROPN
ap-1211	45	36	and	and	CCONJ
ap-1211	45	37	f	f	PROPN
ap-1211	45	38	are	be	AUX
ap-1211	45	39	three	three	NUM
ap-1211	45	40	-	-	PUNCT
ap-1211	45	41	vectors	vector	NOUN
ap-1211	45	42	whose	whose	DET
ap-1211	45	43	components	component	NOUN
ap-1211	45	44	are	be	AUX
ap-1211	45	45	:	:	PUNCT
ap-1211	45	46	ea	ea	X
ap-1211	45	47	=	=	PUNCT
ap-1211	45	48	f0a	f0a	PROPN
ap-1211	45	49	,	,	PUNCT
ap-1211	45	50	ba	ba	NOUN
ap-1211	45	51	=	=	NOUN
ap-1211	45	52	1	1	NUM
ap-1211	45	53	2	2	NUM
ap-1211	45	54	εabcfbc	εabcfbc	NOUN
ap-1211	45	55	and	and	CCONJ
ap-1211	45	56	fa	fa	INTJ
ap-1211	45	57	.	.	NOUN
ap-1211	45	58	•	•	NOUN
ap-1211	45	59	lagrangian	lagrangian	ADJ
ap-1211	45	60	(	(	PUNCT
ap-1211	45	61	3	3	NUM
ap-1211	45	62	)	)	PUNCT
ap-1211	45	63	includes	include	VERB
ap-1211	45	64	both	both	CCONJ
ap-1211	45	65	the	the	DET
ap-1211	45	66	field	field	NOUN
ap-1211	45	67	components	component	NOUN
ap-1211	45	68	fμν	fμν	VERB
ap-1211	45	69	,	,	PUNCT
ap-1211	45	70	f	f	PROPN
ap-1211	45	71	ν	ν	NOUN
ap-1211	45	72	and	and	CCONJ
ap-1211	45	73	potentials	potential	VERB
ap-1211	45	74	aμ	aμ	PRON
ap-1211	45	75	.	.	PUNCT
ap-1211	46	1	but	but	CCONJ
ap-1211	46	2	in	in	ADP
ap-1211	46	3	spite	spite	NOUN
ap-1211	46	4	of	of	ADP
ap-1211	46	5	the	the	DET
ap-1211	46	6	explicit	explicit	ADJ
ap-1211	46	7	dependence	dependence	NOUN
ap-1211	46	8	on	on	ADP
ap-1211	46	9	potentials	potential	NOUN
ap-1211	46	10	,	,	PUNCT
ap-1211	46	11	the	the	DET
ap-1211	46	12	lagrangian	lagrangian	ADJ
ap-1211	46	13	admits	admit	VERB
ap-1211	46	14	gauge	gauge	NOUN
ap-1211	46	15	transformations	transformation	NOUN
ap-1211	46	16	aμ	aμ	INTJ
ap-1211	46	17	→	→	SYM
ap-1211	46	18	aμ	aμ	X
ap-1211	47	1	+	+	NOUN
ap-1211	47	2	∂μϕ	∂μϕ	NOUN
ap-1211	47	3	since	since	SCONJ
ap-1211	47	4	via	via	ADP
ap-1211	47	5	them	they	PRON
ap-1211	47	6	it	it	PRON
ap-1211	47	7	is	be	AUX
ap-1211	47	8	changed	change	VERB
ap-1211	47	9	only	only	ADV
ap-1211	47	10	by	by	ADP
ap-1211	47	11	a	a	DET
ap-1211	47	12	mere	mere	ADJ
ap-1211	47	13	surface	surface	NOUN
ap-1211	47	14	term	term	NOUN
ap-1211	47	15	:	:	PUNCT
ap-1211	47	16	l→	l→	X
ap-1211	47	17	l+	l+	PUNCT
ap-1211	47	18	∂μ(ϕεμνρσf	∂μ(ϕεμνρσf	PROPN
ap-1211	47	19	νρf	νρf	PROPN
ap-1211	47	20	σ	σ	PROPN
ap-1211	47	21	)	)	PUNCT
ap-1211	47	22	.	.	PUNCT
ap-1211	48	1	in	in	ADP
ap-1211	48	2	addition	addition	NOUN
ap-1211	48	3	,	,	PUNCT
ap-1211	48	4	this	this	DET
ap-1211	48	5	lagrangian	lagrangian	NOUN
ap-1211	48	6	is	be	AUX
ap-1211	48	7	not	not	PART
ap-1211	48	8	affected	affect	VERB
ap-1211	48	9	by	by	ADP
ap-1211	48	10	the	the	DET
ap-1211	48	11	change	change	NOUN
ap-1211	48	12	a4	a4	NOUN
ap-1211	48	13	→	→	SYM
ap-1211	48	14	a4	a4	NOUN
ap-1211	48	15	+	+	CCONJ
ap-1211	48	16	c	c	X
ap-1211	48	17	,	,	PUNCT
ap-1211	48	18	where	where	SCONJ
ap-1211	48	19	c	c	PROPN
ap-1211	48	20	is	be	AUX
ap-1211	48	21	a	a	DET
ap-1211	48	22	constant	constant	ADJ
ap-1211	48	23	.	.	PUNCT
ap-1211	49	1	•	•	NUM
ap-1211	49	2	in	in	ADP
ap-1211	49	3	non	non	ADJ
ap-1211	49	4	-	-	ADJ
ap-1211	49	5	relativistic	relativistic	ADJ
ap-1211	49	6	approximation	approximation	NOUN
ap-1211	49	7	,	,	PUNCT
ap-1211	49	8	lagrangian	lagrangian	ADJ
ap-1211	49	9	(	(	PUNCT
ap-1211	49	10	3	3	NUM
ap-1211	49	11	)	)	PUNCT
ap-1211	49	12	is	be	AUX
ap-1211	49	13	reduced	reduce	VERB
ap-1211	49	14	to	to	ADP
ap-1211	49	15	the	the	DET
ap-1211	49	16	galilei	galilei	NOUN
ap-1211	49	17	-	-	PUNCT
ap-1211	49	18	invariant	invariant	ADJ
ap-1211	49	19	lagrangian	lagrangian	NOUN
ap-1211	49	20	for	for	ADP
ap-1211	49	21	the	the	DET
ap-1211	49	22	irreducible	irreducible	ADJ
ap-1211	49	23	galilean	galilean	PROPN
ap-1211	49	24	field	field	NOUN
ap-1211	49	25	discussed	discuss	VERB
ap-1211	49	26	in	in	ADP
ap-1211	49	27	[	[	X
ap-1211	49	28	3	3	NUM
ap-1211	49	29	]	]	PUNCT
ap-1211	49	30	.	.	PUNCT
ap-1211	50	1	3	3	NUM
ap-1211	50	2	field	field	NOUN
ap-1211	50	3	equations	equation	NOUN
ap-1211	50	4	let	let	VERB
ap-1211	50	5	us	we	PRON
ap-1211	50	6	consider	consider	VERB
ap-1211	50	7	the	the	DET
ap-1211	50	8	euler	euler	ADJ
ap-1211	50	9	-	-	PUNCT
ap-1211	50	10	lagrange	lagrange	NOUN
ap-1211	50	11	equations	equation	NOUN
ap-1211	50	12	which	which	PRON
ap-1211	50	13	correspond	correspond	VERB
ap-1211	50	14	to	to	ADP
ap-1211	50	15	lagrangian	lagrangian	ADJ
ap-1211	50	16	(	(	PUNCT
ap-1211	50	17	3	3	NUM
ap-1211	50	18	):	):	PUNCT
ap-1211	50	19	∂νfμν	∂νfμν	X
ap-1211	50	20	+	+	CCONJ
ap-1211	50	21	κfνf̃μν	κfνf̃μν	PROPN
ap-1211	50	22	=	=	SYM
ap-1211	50	23	ejμ	ejμ	NOUN
ap-1211	50	24	,	,	PUNCT
ap-1211	50	25	(	(	PUNCT
ap-1211	50	26	5	5	X
ap-1211	50	27	)	)	PUNCT
ap-1211	50	28	∂νf	∂νf	PROPN
ap-1211	50	29	ν	ν	NOUN
ap-1211	50	30	+	+	CCONJ
ap-1211	50	31	κ	κ	PROPN
ap-1211	50	32	2	2	NUM
ap-1211	50	33	fλν	fλν	VERB
ap-1211	50	34	f̃λν	f̃λν	PROPN
ap-1211	50	35	=	=	SYM
ap-1211	50	36	qj4	qj4	NOUN
ap-1211	50	37	.	.	PUNCT
ap-1211	51	1	(	(	PUNCT
ap-1211	51	2	6	6	NUM
ap-1211	51	3	)	)	PUNCT
ap-1211	51	4	here	here	ADV
ap-1211	51	5	,	,	PUNCT
ap-1211	51	6	f̃μν	f̃μν	PROPN
ap-1211	51	7	=	=	SYM
ap-1211	51	8	1	1	NUM
ap-1211	51	9	2	2	NUM
ap-1211	51	10	εμνρσfρσ	εμνρσfρσ	NOUN
ap-1211	51	11	is	be	AUX
ap-1211	51	12	the	the	DET
ap-1211	51	13	dual	dual	ADJ
ap-1211	51	14	tensor	tensor	NOUN
ap-1211	51	15	of	of	ADP
ap-1211	51	16	the	the	DET
ap-1211	51	17	electromagnetic	electromagnetic	ADJ
ap-1211	51	18	field	field	NOUN
ap-1211	51	19	fμν	fμν	NOUN
ap-1211	51	20	.	.	PUNCT
ap-1211	52	1	field	field	NOUN
ap-1211	52	2	variables	variable	NOUN
ap-1211	52	3	f̃μν	f̃μν	VERB
ap-1211	52	4	and	and	CCONJ
ap-1211	52	5	fμ	fμ	NOUN
ap-1211	52	6	satisfy	satisfy	VERB
ap-1211	52	7	the	the	DET
ap-1211	52	8	following	follow	VERB
ap-1211	52	9	conditions	condition	NOUN
ap-1211	52	10	:	:	PUNCT
ap-1211	52	11	∂νf̃μν	∂νf̃μν	X
ap-1211	52	12	=	=	PUNCT
ap-1211	52	13	0	0	NUM
ap-1211	52	14	,	,	PUNCT
ap-1211	52	15	∂νfμ	∂νfμ	ADJ
ap-1211	52	16	−	−	PROPN
ap-1211	52	17	∂μfν	∂μfν	SYM
ap-1211	52	18	=	=	SYM
ap-1211	52	19	0	0	NUM
ap-1211	52	20	(	(	PUNCT
ap-1211	52	21	7	7	NUM
ap-1211	52	22	)	)	PUNCT
ap-1211	52	23	in	in	ADP
ap-1211	52	24	accordance	accordance	NOUN
ap-1211	52	25	with	with	ADP
ap-1211	52	26	their	their	PRON
ap-1211	52	27	definitions	definition	NOUN
ap-1211	52	28	as	as	ADP
ap-1211	52	29	derivatives	derivative	NOUN
ap-1211	52	30	of	of	ADP
ap-1211	52	31	the	the	DET
ap-1211	52	32	potential	potential	NOUN
ap-1211	52	33	.	.	PUNCT
ap-1211	53	1	equations	equation	NOUN
ap-1211	53	2	(	(	PUNCT
ap-1211	53	3	5)–(7	5)–(7	NOUN
ap-1211	53	4	)	)	PUNCT
ap-1211	53	5	involve	involve	VERB
ap-1211	53	6	ten	ten	NUM
ap-1211	53	7	field	field	NOUN
ap-1211	53	8	variables	variable	NOUN
ap-1211	53	9	,	,	PUNCT
ap-1211	53	10	i.e.	i.e.	X
ap-1211	53	11	,	,	PUNCT
ap-1211	53	12	six	six	NUM
ap-1211	53	13	-	-	PUNCT
ap-1211	53	14	component	component	NOUN
ap-1211	53	15	tensor	tensor	NOUN
ap-1211	53	16	fμν	fμν	NOUN
ap-1211	53	17	and	and	CCONJ
ap-1211	53	18	four	four	NUM
ap-1211	53	19	-	-	PUNCT
ap-1211	53	20	vector	vector	NOUN
ap-1211	53	21	fμ	fμ	NOUN
ap-1211	53	22	.	.	PUNCT
ap-1211	54	1	all	all	DET
ap-1211	54	2	these	these	DET
ap-1211	54	3	variables	variable	NOUN
ap-1211	54	4	are	be	AUX
ap-1211	54	5	dynamical	dynamical	ADJ
ap-1211	54	6	and	and	CCONJ
ap-1211	54	7	of	of	ADP
ap-1211	54	8	equal	equal	ADJ
ap-1211	54	9	value	value	NOUN
ap-1211	54	10	.	.	PUNCT
ap-1211	55	1	if	if	SCONJ
ap-1211	55	2	q	q	NOUN
ap-1211	55	3	=	=	NOUN
ap-1211	55	4	0	0	PUNCT
ap-1211	55	5	then	then	ADV
ap-1211	55	6	equations	equation	NOUN
ap-1211	55	7	(	(	PUNCT
ap-1211	55	8	5)–(7	5)–(7	NOUN
ap-1211	55	9	)	)	PUNCT
ap-1211	55	10	reduce	reduce	VERB
ap-1211	55	11	to	to	ADP
ap-1211	55	12	the	the	DET
ap-1211	55	13	field	field	NOUN
ap-1211	55	14	equations	equation	NOUN
ap-1211	55	15	of	of	ADP
ap-1211	55	16	an	an	DET
ap-1211	55	17	axion	axion	PROPN
ap-1211	55	18	electrodynamics	electrodynamic	NOUN
ap-1211	56	1	[	[	X
ap-1211	56	2	9	9	NUM
ap-1211	56	3	]	]	PUNCT
ap-1211	56	4	with	with	ADP
ap-1211	56	5	zero	zero	NUM
ap-1211	56	6	axion	axion	PROPN
ap-1211	56	7	mass	mass	PROPN
ap-1211	56	8	.	.	PUNCT
ap-1211	57	1	first	first	ADV
ap-1211	57	2	,	,	PUNCT
ap-1211	57	3	let	let	VERB
ap-1211	57	4	us	we	PRON
ap-1211	57	5	note	note	VERB
ap-1211	57	6	that	that	SCONJ
ap-1211	57	7	equations	equation	NOUN
ap-1211	57	8	(	(	PUNCT
ap-1211	57	9	5)–(7	5)–(7	NOUN
ap-1211	57	10	)	)	PUNCT
ap-1211	57	11	cover	cover	VERB
ap-1211	57	12	the	the	DET
ap-1211	57	13	system	system	NOUN
ap-1211	57	14	of	of	ADP
ap-1211	57	15	equations	equation	NOUN
ap-1211	57	16	proposed	propose	VERB
ap-1211	57	17	by	by	ADP
ap-1211	57	18	carroll	carroll	PROPN
ap-1211	57	19	,	,	PUNCT
ap-1211	57	20	field	field	NOUN
ap-1211	57	21	and	and	CCONJ
ap-1211	57	22	jackiw	jackiw	NOUN
ap-1211	58	1	[	[	X
ap-1211	58	2	2	2	NUM
ap-1211	58	3	]	]	PUNCT
ap-1211	58	4	.	.	PUNCT
ap-1211	59	1	indeed	indeed	ADV
ap-1211	59	2	,	,	PUNCT
ap-1211	59	3	the	the	DET
ap-1211	59	4	system	system	NOUN
ap-1211	59	5	(	(	PUNCT
ap-1211	59	6	5)–(7	5)–(7	NOUN
ap-1211	59	7	)	)	PUNCT
ap-1211	59	8	is	be	AUX
ap-1211	59	9	compatible	compatible	ADJ
ap-1211	59	10	with	with	ADP
ap-1211	59	11	the	the	DET
ap-1211	59	12	following	follow	VERB
ap-1211	59	13	additional	additional	ADJ
ap-1211	59	14	condition	condition	NOUN
ap-1211	59	15	∂νfμ	∂νfμ	NOUN
ap-1211	59	16	=	=	SYM
ap-1211	59	17	0	0	PROPN
ap-1211	59	18	.	.	PUNCT
ap-1211	60	1	(	(	PUNCT
ap-1211	60	2	8)	8)	NUM
ap-1211	60	3	if	if	SCONJ
ap-1211	60	4	the	the	DET
ap-1211	60	5	condition	condition	NOUN
ap-1211	60	6	(	(	PUNCT
ap-1211	60	7	8)	8)	NUM
ap-1211	60	8	is	be	AUX
ap-1211	60	9	imposed	impose	VERB
ap-1211	60	10	then	then	ADV
ap-1211	60	11	fμ	fμ	ADP
ap-1211	60	12	=	=	NOUN
ap-1211	60	13	pμ	pμ	NOUN
ap-1211	60	14	where	where	SCONJ
ap-1211	60	15	pμ	pμ	NOUN
ap-1211	60	16	are	be	AUX
ap-1211	60	17	constants	constant	NOUN
ap-1211	60	18	.	.	PUNCT
ap-1211	61	1	substituting	substitute	VERB
ap-1211	61	2	this	this	DET
ap-1211	61	3	solution	solution	NOUN
ap-1211	61	4	into	into	ADP
ap-1211	61	5	(	(	PUNCT
ap-1211	61	6	5	5	NUM
ap-1211	61	7	)	)	PUNCT
ap-1211	61	8	we	we	PRON
ap-1211	61	9	obtain	obtain	VERB
ap-1211	61	10	the	the	DET
ap-1211	61	11	cfj	cfj	NOUN
ap-1211	61	12	equations	equation	NOUN
ap-1211	61	13	.	.	PUNCT
ap-1211	62	1	concerning	concern	VERB
ap-1211	62	2	our	our	PRON
ap-1211	62	3	additional	additional	ADJ
ap-1211	62	4	equation	equation	NOUN
ap-1211	62	5	(	(	PUNCT
ap-1211	62	6	6	6	NUM
ap-1211	62	7	)	)	PUNCT
ap-1211	62	8	,	,	PUNCT
ap-1211	62	9	for	for	ADP
ap-1211	62	10	constant	constant	ADJ
ap-1211	62	11	pμ	pμ	NOUN
ap-1211	62	12	it	it	PRON
ap-1211	62	13	is	be	AUX
ap-1211	62	14	reduced	reduce	VERB
ap-1211	62	15	to	to	ADP
ap-1211	62	16	a	a	DET
ap-1211	62	17	definition	definition	NOUN
ap-1211	62	18	of	of	ADP
ap-1211	62	19	j4	j4	PROPN
ap-1211	62	20	.	.	PUNCT
ap-1211	63	1	note	note	VERB
ap-1211	63	2	that	that	SCONJ
ap-1211	63	3	equations	equation	NOUN
ap-1211	63	4	(	(	PUNCT
ap-1211	63	5	5	5	NUM
ap-1211	63	6	)	)	PUNCT
ap-1211	63	7	with	with	ADP
ap-1211	63	8	variable	variable	NOUN
ap-1211	63	9	(	(	PUNCT
ap-1211	63	10	i.e.	i.e.	X
ap-1211	63	11	,	,	PUNCT
ap-1211	63	12	nonconstant	nonconstant	ADJ
ap-1211	63	13	)	)	PUNCT
ap-1211	63	14	pμ	pμ	NOUN
ap-1211	63	15	were	be	AUX
ap-1211	63	16	discussed	discuss	VERB
ap-1211	63	17	in	in	ADP
ap-1211	63	18	[	[	X
ap-1211	63	19	7	7	NUM
ap-1211	63	20	]	]	PUNCT
ap-1211	63	21	in	in	ADP
ap-1211	63	22	frames	frame	NOUN
ap-1211	63	23	of	of	ADP
ap-1211	63	24	the	the	DET
ap-1211	63	25	premetric	premetric	ADJ
ap-1211	63	26	approach	approach	NOUN
ap-1211	63	27	[	[	X
ap-1211	63	28	8	8	NUM
ap-1211	63	29	]	]	PUNCT
ap-1211	63	30	.	.	PUNCT
ap-1211	64	1	however	however	ADV
ap-1211	64	2	,	,	PUNCT
ap-1211	64	3	fμ	fμ	PROPN
ap-1211	64	4	is	be	AUX
ap-1211	64	5	treated	treat	VERB
ap-1211	64	6	there	there	ADV
ap-1211	64	7	as	as	ADP
ap-1211	64	8	an	an	DET
ap-1211	64	9	external	external	ADJ
ap-1211	64	10	axion	axion	NOUN
ap-1211	64	11	field	field	NOUN
ap-1211	64	12	,	,	PUNCT
ap-1211	64	13	while	while	SCONJ
ap-1211	64	14	in	in	ADP
ap-1211	64	15	our	our	PRON
ap-1211	64	16	model	model	NOUN
ap-1211	64	17	it	it	PRON
ap-1211	64	18	is	be	AUX
ap-1211	64	19	a	a	DET
ap-1211	64	20	dynamical	dynamical	ADJ
ap-1211	64	21	variable	variable	NOUN
ap-1211	64	22	satisfying	satisfy	VERB
ap-1211	64	23	evolution	evolution	NOUN
ap-1211	64	24	equation	equation	NOUN
ap-1211	64	25	(	(	PUNCT
ap-1211	64	26	6	6	NUM
ap-1211	64	27	)	)	PUNCT
ap-1211	64	28	and	and	CCONJ
ap-1211	64	29	constraints	constraint	NOUN
ap-1211	64	30	(	(	PUNCT
ap-1211	64	31	7	7	NUM
ap-1211	64	32	)	)	PUNCT
ap-1211	64	33	.	.	PUNCT
ap-1211	65	1	4	4	NUM
ap-1211	65	2	mcs	mcs	PROPN
ap-1211	65	3	model	model	NOUN
ap-1211	65	4	with	with	ADP
ap-1211	65	5	nonliner	nonliner	PROPN
ap-1211	65	6	bianchy	bianchy	NOUN
ap-1211	65	7	indentity	indentity	NOUN
ap-1211	65	8	the	the	DET
ap-1211	65	9	system	system	NOUN
ap-1211	65	10	(	(	PUNCT
ap-1211	65	11	5	5	NUM
ap-1211	65	12	)	)	PUNCT
ap-1211	65	13	,	,	PUNCT
ap-1211	65	14	(	(	PUNCT
ap-1211	65	15	6	6	X
ap-1211	65	16	)	)	PUNCT
ap-1211	65	17	generates	generate	VERB
ap-1211	65	18	the	the	DET
ap-1211	65	19	tensor	tensor	NOUN
ap-1211	65	20	conserved	conserve	VERB
ap-1211	65	21	current	current	NOUN
ap-1211	65	22	whose	whose	DET
ap-1211	65	23	components	component	NOUN
ap-1211	65	24	are	be	AUX
ap-1211	65	25	given	give	VERB
ap-1211	65	26	in	in	ADP
ap-1211	65	27	equation	equation	NOUN
ap-1211	65	28	(	(	PUNCT
ap-1211	65	29	4	4	NUM
ap-1211	65	30	)	)	PUNCT
ap-1211	65	31	.	.	PUNCT
ap-1211	66	1	moreover	moreover	ADV
ap-1211	66	2	,	,	PUNCT
ap-1211	66	3	the	the	DET
ap-1211	66	4	energy	energy	NOUN
ap-1211	66	5	-	-	PUNCT
ap-1211	66	6	momentum	momentum	NOUN
ap-1211	66	7	tensor	tensor	NOUN
ap-1211	66	8	(	(	PUNCT
ap-1211	66	9	4	4	NUM
ap-1211	66	10	)	)	PUNCT
ap-1211	66	11	has	have	VERB
ap-1211	66	12	a	a	DET
ap-1211	66	13	very	very	ADV
ap-1211	66	14	simple	simple	ADJ
ap-1211	66	15	form	form	NOUN
ap-1211	66	16	and	and	CCONJ
ap-1211	66	17	does	do	AUX
ap-1211	66	18	not	not	PART
ap-1211	66	19	depend	depend	VERB
ap-1211	66	20	on	on	ADP
ap-1211	66	21	the	the	DET
ap-1211	66	22	coupling	coupling	NOUN
ap-1211	66	23	constant	constant	ADJ
ap-1211	66	24	κ	κ	NOUN
ap-1211	66	25	.	.	PUNCT
ap-1211	67	1	on	on	ADP
ap-1211	67	2	the	the	DET
ap-1211	67	3	other	other	ADJ
ap-1211	67	4	hand	hand	NOUN
ap-1211	67	5	,	,	PUNCT
ap-1211	67	6	for	for	ADP
ap-1211	67	7	κ	κ	NOUN
ap-1211	67	8	=	=	SYM
ap-1211	67	9	0	0	PROPN
ap-1211	67	10	this	this	DET
ap-1211	67	11	tensor	tensor	NOUN
ap-1211	67	12	can	can	AUX
ap-1211	67	13	be	be	AUX
ap-1211	67	14	segregated	segregate	VERB
ap-1211	67	15	to	to	ADP
ap-1211	67	16	two	two	NUM
ap-1211	67	17	parts	part	NOUN
ap-1211	67	18	,	,	PUNCT
ap-1211	67	19	each	each	PRON
ap-1211	67	20	of	of	ADP
ap-1211	67	21	which	which	PRON
ap-1211	67	22	is	be	AUX
ap-1211	67	23	conserved	conserve	VERB
ap-1211	67	24	separately	separately	ADV
ap-1211	67	25	:	:	PUNCT
ap-1211	68	1	t	t	X
ap-1211	68	2	μν	μν	PROPN
ap-1211	69	1	=	=	SYM
ap-1211	69	2	t	t	NOUN
ap-1211	69	3	μν	μν	NUM
ap-1211	69	4	1	1	NUM
ap-1211	70	1	+	+	NUM
ap-1211	70	2	t	t	X
ap-1211	70	3	μν	μν	NUM
ap-1211	70	4	2	2	NUM
ap-1211	70	5	,	,	PUNCT
ap-1211	70	6	(	(	PUNCT
ap-1211	70	7	9	9	NUM
ap-1211	70	8	)	)	PUNCT
ap-1211	70	9	where	where	SCONJ
ap-1211	70	10	t	t	PROPN
ap-1211	70	11	001	001	NUM
ap-1211	70	12	=	=	SYM
ap-1211	70	13	1	1	NUM
ap-1211	70	14	2	2	NUM
ap-1211	70	15	(	(	PUNCT
ap-1211	70	16	e2	e2	PROPN
ap-1211	70	17	+	+	NOUN
ap-1211	70	18	b2	b2	NOUN
ap-1211	70	19	)	)	PUNCT
ap-1211	70	20	,	,	PUNCT
ap-1211	70	21	t	t	PROPN
ap-1211	70	22	0a1	0a1	NUM
ap-1211	71	1	=	=	SYM
ap-1211	71	2	1	1	NUM
ap-1211	71	3	2	2	NUM
ap-1211	71	4	εabcebbc	εabcebbc	NOUN
ap-1211	71	5	,	,	PUNCT
ap-1211	71	6	(	(	PUNCT
ap-1211	71	7	10	10	NUM
ap-1211	71	8	)	)	PUNCT
ap-1211	71	9	t	t	NOUN
ap-1211	71	10	002	002	NUM
ap-1211	72	1	=	=	SYM
ap-1211	72	2	f	f	PROPN
ap-1211	72	3	20	20	NUM
ap-1211	73	1	+	+	CCONJ
ap-1211	73	2	f	f	PROPN
ap-1211	73	3	2	2	NUM
ap-1211	73	4	,	,	PUNCT
ap-1211	73	5	t	t	NOUN
ap-1211	73	6	0a2	0a2	NOUN
ap-1211	73	7	=	=	SYM
ap-1211	73	8	1	1	NUM
ap-1211	73	9	2	2	NUM
ap-1211	73	10	f	f	NOUN
ap-1211	73	11	0f	0f	PROPN
ap-1211	73	12	a.	a.	NOUN
ap-1211	73	13	(	(	PUNCT
ap-1211	73	14	11	11	NUM
ap-1211	73	15	)	)	PUNCT
ap-1211	73	16	however	however	ADV
ap-1211	73	17	,	,	PUNCT
ap-1211	73	18	for	for	ADP
ap-1211	73	19	κ	κ	PROPN
ap-1211	73	20	nonzero	nonzero	NOUN
ap-1211	73	21	either	either	CCONJ
ap-1211	73	22	tensor	tensor	NOUN
ap-1211	73	23	(	(	PUNCT
ap-1211	73	24	10	10	NUM
ap-1211	73	25	)	)	PUNCT
ap-1211	73	26	or	or	CCONJ
ap-1211	73	27	(	(	PUNCT
ap-1211	73	28	11	11	NUM
ap-1211	73	29	)	)	PUNCT
ap-1211	73	30	is	be	AUX
ap-1211	73	31	not	not	PART
ap-1211	73	32	conserved	conserve	VERB
ap-1211	73	33	,	,	PUNCT
ap-1211	73	34	but	but	CCONJ
ap-1211	73	35	only	only	ADV
ap-1211	73	36	their	their	PRON
ap-1211	73	37	sum	sum	NOUN
ap-1211	73	38	(	(	PUNCT
ap-1211	73	39	9	9	NUM
ap-1211	73	40	)	)	PUNCT
ap-1211	73	41	is	be	AUX
ap-1211	73	42	a	a	DET
ap-1211	73	43	conserved	conserved	ADJ
ap-1211	73	44	quantity	quantity	NOUN
ap-1211	73	45	.	.	PUNCT
ap-1211	74	1	in	in	ADP
ap-1211	74	2	this	this	DET
ap-1211	74	3	section	section	NOUN
ap-1211	74	4	we	we	PRON
ap-1211	74	5	propose	propose	VERB
ap-1211	74	6	an	an	DET
ap-1211	74	7	mcs	mcs	PROPN
ap-1211	74	8	model	model	NOUN
ap-1211	74	9	which	which	PRON
ap-1211	74	10	causes	cause	VERB
ap-1211	74	11	conservation	conservation	NOUN
ap-1211	74	12	of	of	ADP
ap-1211	74	13	the	the	DET
ap-1211	74	14	standard	standard	ADJ
ap-1211	74	15	energy	energy	NOUN
ap-1211	74	16	-	-	PUNCT
ap-1211	74	17	momenta	momenta	NOUN
ap-1211	74	18	tensor	tensor	NOUN
ap-1211	74	19	of	of	ADP
ap-1211	74	20	maxwell	maxwell	PROPN
ap-1211	74	21	field	field	NOUN
ap-1211	74	22	given	give	VERB
ap-1211	74	23	by	by	ADP
ap-1211	74	24	expressions	expression	NOUN
ap-1211	74	25	(	(	PUNCT
ap-1211	74	26	10	10	NUM
ap-1211	74	27	)	)	PUNCT
ap-1211	74	28	.	.	PUNCT
ap-1211	75	1	the	the	DET
ap-1211	75	2	related	relate	VERB
ap-1211	75	3	field	field	NOUN
ap-1211	75	4	equations	equation	NOUN
ap-1211	75	5	for	for	ADP
ap-1211	75	6	antisymmetric	antisymmetric	ADJ
ap-1211	75	7	tensor	tensor	NOUN
ap-1211	75	8	fμν	fμν	NOUN
ap-1211	75	9	are	be	AUX
ap-1211	75	10	:	:	PUNCT
ap-1211	75	11	∂νfμν	∂νfμν	NUM
ap-1211	75	12	+	+	CCONJ
ap-1211	75	13	κfνf̃μν	κfνf̃μν	PROPN
ap-1211	75	14	=	=	SYM
ap-1211	75	15	ejμ	ejμ	NOUN
ap-1211	75	16	,	,	PUNCT
ap-1211	75	17	(	(	PUNCT
ap-1211	75	18	12	12	NUM
ap-1211	75	19	)	)	PUNCT
ap-1211	75	20	∂ν	∂ν	PROPN
ap-1211	75	21	f̃μν	f̃μν	VERB
ap-1211	75	22	−	−	PROPN
ap-1211	75	23	κfνfμν	κfνfμν	NOUN
ap-1211	75	24	=	=	SYM
ap-1211	75	25	0	0	NUM
ap-1211	75	26	(	(	PUNCT
ap-1211	75	27	13	13	NUM
ap-1211	75	28	)	)	PUNCT
ap-1211	75	29	where	where	SCONJ
ap-1211	75	30	fμ	fμ	NOUN
ap-1211	75	31	=	=	SYM
ap-1211	75	32	∂μa4	∂μa4	NOUN
ap-1211	75	33	and	and	CCONJ
ap-1211	75	34	a4	a4	NOUN
ap-1211	75	35	is	be	AUX
ap-1211	75	36	a	a	DET
ap-1211	75	37	scalar	scalar	ADJ
ap-1211	75	38	potential	potential	NOUN
ap-1211	75	39	satisfying	satisfy	VERB
ap-1211	75	40	the	the	DET
ap-1211	75	41	following	follow	VERB
ap-1211	75	42	nonlinear	nonlinear	ADJ
ap-1211	75	43	equation	equation	NOUN
ap-1211	75	44	∂ν∂νa4	∂ν∂νa4	NOUN
ap-1211	75	45	=	=	SYM
ap-1211	75	46	κ(fμνfμν	κ(fμνfμν	NOUN
ap-1211	75	47	sin(κa4)−	sin(κa4)−	NOUN
ap-1211	75	48	fμν	fμν	X
ap-1211	75	49	f̃μν	f̃μν	PROPN
ap-1211	75	50	cos(κa4	cos(κa4	PROPN
ap-1211	75	51	)	)	PUNCT
ap-1211	75	52	)	)	PUNCT
ap-1211	75	53	.	.	PUNCT
ap-1211	76	1	(	(	PUNCT
ap-1211	76	2	14	14	NUM
ap-1211	76	3	)	)	PUNCT
ap-1211	76	4	97	97	NUM
ap-1211	76	5	acta	acta	PROPN
ap-1211	76	6	polytechnica	polytechnica	PROPN
ap-1211	76	7	vol	vol	NOUN
ap-1211	76	8	.	.	PROPN
ap-1211	77	1	50	50	NUM
ap-1211	77	2	no	no	NOUN
ap-1211	77	3	.	.	PUNCT
ap-1211	78	1	3/2010	3/2010	NUM
ap-1211	78	2	it	it	PRON
ap-1211	78	3	is	be	AUX
ap-1211	78	4	easy	easy	ADJ
ap-1211	78	5	to	to	PART
ap-1211	78	6	verify	verify	VERB
ap-1211	78	7	that	that	DET
ap-1211	78	8	tensor	tensor	NOUN
ap-1211	78	9	(	(	PUNCT
ap-1211	78	10	10	10	NUM
ap-1211	78	11	)	)	PUNCT
ap-1211	78	12	satisfies	satisfy	VERB
ap-1211	78	13	the	the	DET
ap-1211	78	14	continuity	continuity	NOUN
ap-1211	78	15	equation	equation	NOUN
ap-1211	78	16	∂μt	∂μt	VERB
ap-1211	78	17	μν	μν	NOUN
ap-1211	78	18	1	1	NUM
ap-1211	78	19	=	=	SYM
ap-1211	78	20	0	0	NUM
ap-1211	78	21	provided	provide	VERB
ap-1211	78	22	fμν	fμν	NOUN
ap-1211	78	23	solve	solve	VERB
ap-1211	78	24	the	the	DET
ap-1211	78	25	field	field	NOUN
ap-1211	78	26	equations	equation	NOUN
ap-1211	78	27	(	(	PUNCT
ap-1211	78	28	12)–(13	12)–(13	NUM
ap-1211	78	29	)	)	PUNCT
ap-1211	78	30	with	with	ADP
ap-1211	78	31	zero	zero	NUM
ap-1211	78	32	current	current	ADJ
ap-1211	78	33	jμ	jμ	PROPN
ap-1211	78	34	=	=	NOUN
ap-1211	78	35	0	0	PROPN
ap-1211	78	36	.	.	PUNCT
ap-1211	79	1	like	like	INTJ
ap-1211	79	2	(	(	PUNCT
ap-1211	79	3	5)–(7	5)–(7	NOUN
ap-1211	79	4	)	)	PUNCT
ap-1211	79	5	,	,	PUNCT
ap-1211	79	6	equations	equation	NOUN
ap-1211	79	7	(	(	PUNCT
ap-1211	79	8	12)–(14	12)–(14	NUM
ap-1211	79	9	)	)	PUNCT
ap-1211	79	10	admit	admit	VERB
ap-1211	79	11	lagrangian	lagrangian	ADJ
ap-1211	79	12	formulation	formulation	NOUN
ap-1211	79	13	.	.	PUNCT
ap-1211	80	1	to	to	PART
ap-1211	80	2	construct	construct	VERB
ap-1211	80	3	the	the	DET
ap-1211	80	4	related	relate	VERB
ap-1211	80	5	lagrangian	lagrangian	NOUN
ap-1211	80	6	we	we	PRON
ap-1211	80	7	express	express	VERB
ap-1211	80	8	fμν	fμν	NOUN
ap-1211	80	9	via	via	ADP
ap-1211	80	10	potential	potential	ADJ
ap-1211	80	11	a	a	PRON
ap-1211	80	12	=	=	SYM
ap-1211	80	13	(	(	PUNCT
ap-1211	80	14	a0	a0	PROPN
ap-1211	80	15	,	,	PUNCT
ap-1211	80	16	a1	a1	PROPN
ap-1211	80	17	,	,	PUNCT
ap-1211	80	18	a2	a2	PROPN
ap-1211	80	19	,	,	PUNCT
ap-1211	80	20	a3	a3	NOUN
ap-1211	80	21	,	,	PUNCT
ap-1211	80	22	a4	a4	NOUN
ap-1211	80	23	)	)	PUNCT
ap-1211	80	24	in	in	ADP
ap-1211	80	25	a	a	DET
ap-1211	80	26	non	non	ADJ
ap-1211	80	27	-	-	ADJ
ap-1211	80	28	linear	linear	ADJ
ap-1211	80	29	fashion	fashion	NOUN
ap-1211	80	30	:	:	PUNCT
ap-1211	80	31	fμν	fμν	NOUN
ap-1211	80	32	=(	=(	NOUN
ap-1211	80	33	∂μaν	∂μaν	NUM
ap-1211	80	34	−	−	PROPN
ap-1211	80	35	∂νaμ	∂νaμ	X
ap-1211	80	36	)	)	PUNCT
ap-1211	80	37	cos(κa4)−	cos(κa4)−	VERB
ap-1211	80	38	1	1	NUM
ap-1211	80	39	2	2	NUM
ap-1211	80	40	εμν	εμν	NOUN
ap-1211	80	41	λσ(∂λaσ	λσ(∂λaσ	PROPN
ap-1211	80	42	−	−	NOUN
ap-1211	80	43	∂σaλ	∂σaλ	NOUN
ap-1211	80	44	)	)	PUNCT
ap-1211	80	45	sin(κa4	sin(κa4	NUM
ap-1211	80	46	)	)	PUNCT
ap-1211	80	47	.	.	PUNCT
ap-1211	81	1	(	(	PUNCT
ap-1211	81	2	15	15	X
ap-1211	81	3	)	)	PUNCT
ap-1211	81	4	the	the	DET
ap-1211	81	5	ansatz	ansatz	ADJ
ap-1211	81	6	(	(	PUNCT
ap-1211	81	7	15	15	NUM
ap-1211	81	8	)	)	PUNCT
ap-1211	81	9	converts	convert	VERB
ap-1211	81	10	equation	equation	NOUN
ap-1211	81	11	(	(	PUNCT
ap-1211	81	12	13	13	NUM
ap-1211	81	13	)	)	PUNCT
ap-1211	81	14	to	to	ADP
ap-1211	81	15	identity	identity	NOUN
ap-1211	81	16	,	,	PUNCT
ap-1211	81	17	which	which	PRON
ap-1211	81	18	plays	play	VERB
ap-1211	81	19	the	the	DET
ap-1211	81	20	role	role	NOUN
ap-1211	81	21	of	of	ADP
ap-1211	81	22	bianchi	bianchi	NOUN
ap-1211	81	23	identity	identity	NOUN
ap-1211	81	24	in	in	ADP
ap-1211	81	25	our	our	PRON
ap-1211	81	26	model	model	NOUN
ap-1211	81	27	.	.	PUNCT
ap-1211	82	1	note	note	VERB
ap-1211	82	2	that	that	SCONJ
ap-1211	82	3	this	this	DET
ap-1211	82	4	identity	identity	NOUN
ap-1211	82	5	appears	appear	VERB
ap-1211	82	6	to	to	PART
ap-1211	82	7	be	be	AUX
ap-1211	82	8	essentially	essentially	ADV
ap-1211	82	9	nonlinear	nonlinear	ADJ
ap-1211	82	10	.	.	PUNCT
ap-1211	83	1	using	use	VERB
ap-1211	83	2	definition	definition	NOUN
ap-1211	83	3	(	(	PUNCT
ap-1211	83	4	15	15	NUM
ap-1211	83	5	)	)	PUNCT
ap-1211	83	6	,	,	PUNCT
ap-1211	83	7	we	we	PRON
ap-1211	83	8	can	can	AUX
ap-1211	83	9	write	write	VERB
ap-1211	83	10	a	a	DET
ap-1211	83	11	lagrangian	lagrangian	NOUN
ap-1211	83	12	for	for	ADP
ap-1211	83	13	the	the	DET
ap-1211	83	14	system	system	NOUN
ap-1211	83	15	(	(	PUNCT
ap-1211	83	16	12)–(14	12)–(14	NUM
ap-1211	83	17	):	):	PUNCT
ap-1211	83	18	l=	l=	ADJ
ap-1211	83	19	1	1	NUM
ap-1211	83	20	4	4	NUM
ap-1211	83	21	(	(	PUNCT
ap-1211	83	22	fμνfμν	fμνfμν	NOUN
ap-1211	83	23	cos(κa4	cos(κa4	PROPN
ap-1211	83	24	)	)	PUNCT
ap-1211	84	1	+	+	NUM
ap-1211	84	2	fμν	fμν	X
ap-1211	84	3	f̃μν	f̃μν	PROPN
ap-1211	84	4	sin(κa4	sin(κa4	NUM
ap-1211	84	5	)	)	PUNCT
ap-1211	84	6	)	)	PUNCT
ap-1211	85	1	+	+	CCONJ
ap-1211	85	2	1	1	NUM
ap-1211	85	3	2	2	NUM
ap-1211	85	4	fμfμ	fμfμ	NOUN
ap-1211	85	5	.	.	PUNCT
ap-1211	86	1	(	(	PUNCT
ap-1211	86	2	16	16	NUM
ap-1211	86	3	)	)	PUNCT
ap-1211	86	4	variating	variate	VERB
ap-1211	86	5	(	(	PUNCT
ap-1211	86	6	16	16	NUM
ap-1211	86	7	)	)	PUNCT
ap-1211	86	8	w.r.t	w.r.t	NOUN
ap-1211	86	9	.	.	PUNCT
ap-1211	87	1	aμ	aμ	INTJ
ap-1211	87	2	and	and	CCONJ
ap-1211	87	3	a4	a4	NOUN
ap-1211	87	4	one	one	NOUN
ap-1211	87	5	obtains	obtain	VERB
ap-1211	87	6	equations	equation	NOUN
ap-1211	87	7	(	(	PUNCT
ap-1211	87	8	12	12	NUM
ap-1211	87	9	)	)	PUNCT
ap-1211	87	10	and	and	CCONJ
ap-1211	87	11	(	(	PUNCT
ap-1211	87	12	14	14	NUM
ap-1211	87	13	)	)	PUNCT
ap-1211	87	14	correspondingly	correspondingly	ADV
ap-1211	87	15	.	.	PUNCT
ap-1211	88	1	for	for	ADP
ap-1211	88	2	small	small	ADJ
ap-1211	88	3	values	value	NOUN
ap-1211	88	4	of	of	ADP
ap-1211	88	5	parameter	parameter	NOUN
ap-1211	88	6	κ	κ	PROPN
ap-1211	88	7	and	and	CCONJ
ap-1211	88	8	bounded	bound	VERB
ap-1211	88	9	a4	a4	NOUN
ap-1211	88	10	it	it	PRON
ap-1211	88	11	is	be	AUX
ap-1211	88	12	possible	possible	ADJ
ap-1211	88	13	to	to	PART
ap-1211	88	14	expand	expand	VERB
ap-1211	88	15	lagrangian	lagrangian	ADJ
ap-1211	88	16	(	(	PUNCT
ap-1211	88	17	16	16	NUM
ap-1211	88	18	)	)	PUNCT
ap-1211	88	19	and	and	CCONJ
ap-1211	88	20	the	the	DET
ap-1211	88	21	related	related	ADJ
ap-1211	88	22	equations	equation	NOUN
ap-1211	88	23	(	(	PUNCT
ap-1211	88	24	12)–(14	12)–(14	NUM
ap-1211	88	25	)	)	PUNCT
ap-1211	88	26	in	in	ADP
ap-1211	88	27	power	power	NOUN
ap-1211	88	28	series	series	NOUN
ap-1211	88	29	of	of	ADP
ap-1211	88	30	κ	κ	PROPN
ap-1211	88	31	.	.	PUNCT
ap-1211	89	1	then	then	ADV
ap-1211	89	2	neglecting	neglect	VERB
ap-1211	89	3	terms	term	NOUN
ap-1211	89	4	whose	whose	DET
ap-1211	89	5	order	order	NOUN
ap-1211	89	6	in	in	ADP
ap-1211	89	7	κ	κ	NOUN
ap-1211	89	8	is	be	AUX
ap-1211	89	9	higher	high	ADJ
ap-1211	89	10	than	than	ADP
ap-1211	89	11	one	one	NUM
ap-1211	89	12	we	we	PRON
ap-1211	89	13	obtain	obtain	VERB
ap-1211	89	14	lagrangian	lagrangian	ADJ
ap-1211	89	15	(	(	PUNCT
ap-1211	89	16	3	3	NUM
ap-1211	89	17	)	)	PUNCT
ap-1211	89	18	.	.	PUNCT
ap-1211	90	1	in	in	ADP
ap-1211	90	2	other	other	ADJ
ap-1211	90	3	words	word	NOUN
ap-1211	90	4	,	,	PUNCT
ap-1211	90	5	the	the	DET
ap-1211	90	6	model	model	NOUN
ap-1211	90	7	considered	consider	VERB
ap-1211	90	8	in	in	ADP
ap-1211	90	9	sections	section	NOUN
ap-1211	90	10	4	4	NUM
ap-1211	90	11	and	and	CCONJ
ap-1211	90	12	5	5	NUM
ap-1211	90	13	can	can	AUX
ap-1211	90	14	be	be	AUX
ap-1211	90	15	treated	treat	VERB
ap-1211	90	16	as	as	ADP
ap-1211	90	17	a	a	DET
ap-1211	90	18	first	first	ADJ
ap-1211	90	19	approximation	approximation	NOUN
ap-1211	90	20	of	of	ADP
ap-1211	90	21	the	the	DET
ap-1211	90	22	model	model	NOUN
ap-1211	90	23	based	base	VERB
ap-1211	90	24	on	on	ADP
ap-1211	90	25	lagrangian	lagrangian	ADJ
ap-1211	90	26	(	(	PUNCT
ap-1211	90	27	16	16	NUM
ap-1211	90	28	)	)	PUNCT
ap-1211	90	29	.	.	PUNCT
ap-1211	91	1	5	5	NUM
ap-1211	91	2	continuous	continuous	ADJ
ap-1211	91	3	and	and	CCONJ
ap-1211	91	4	discrete	discrete	ADJ
ap-1211	91	5	symmetries	symmetry	NOUN
ap-1211	91	6	equations	equation	NOUN
ap-1211	91	7	(	(	PUNCT
ap-1211	91	8	5)–(7	5)–(7	NUM
ap-1211	91	9	)	)	PUNCT
ap-1211	91	10	(	(	PUNCT
ap-1211	91	11	or	or	CCONJ
ap-1211	91	12	(	(	PUNCT
ap-1211	91	13	24	24	NUM
ap-1211	91	14	)	)	PUNCT
ap-1211	91	15	)	)	PUNCT
ap-1211	91	16	are	be	AUX
ap-1211	91	17	transparently	transparently	ADV
ap-1211	91	18	invariant	invariant	ADJ
ap-1211	91	19	w.r.t	w.r.t	NOUN
ap-1211	91	20	.	.	PUNCT
ap-1211	92	1	the	the	DET
ap-1211	92	2	poincaré	poincaré	ADJ
ap-1211	92	3	group	group	NOUN
ap-1211	92	4	.	.	PUNCT
ap-1211	93	1	nevertheless	nevertheless	ADV
ap-1211	93	2	we	we	PRON
ap-1211	93	3	examined	examine	VERB
ap-1211	93	4	them	they	PRON
ap-1211	93	5	using	use	VERB
ap-1211	93	6	tools	tool	NOUN
ap-1211	93	7	of	of	ADP
ap-1211	93	8	lie	lie	NOUN
ap-1211	93	9	analysis	analysis	NOUN
ap-1211	93	10	and	and	CCONJ
ap-1211	93	11	found	find	VERB
ap-1211	93	12	their	their	PRON
ap-1211	93	13	maximal	maximal	ADJ
ap-1211	93	14	invariance	invariance	NOUN
ap-1211	93	15	group	group	NOUN
ap-1211	93	16	.	.	PUNCT
ap-1211	94	1	we	we	PRON
ap-1211	94	2	will	will	AUX
ap-1211	94	3	not	not	PART
ap-1211	94	4	present	present	VERB
ap-1211	94	5	here	here	ADV
ap-1211	94	6	details	detail	NOUN
ap-1211	94	7	of	of	ADP
ap-1211	94	8	this	this	DET
ap-1211	94	9	routine	routine	ADJ
ap-1211	94	10	procedure	procedure	NOUN
ap-1211	94	11	,	,	PUNCT
ap-1211	94	12	whose	whose	DET
ap-1211	94	13	algorithm	algorithm	NOUN
ap-1211	94	14	can	can	AUX
ap-1211	94	15	be	be	AUX
ap-1211	94	16	found	find	VERB
ap-1211	94	17	in	in	ADP
ap-1211	94	18	[	[	X
ap-1211	94	19	10	10	NUM
ap-1211	94	20	]	]	PUNCT
ap-1211	94	21	,	,	PUNCT
ap-1211	94	22	but	but	CCONJ
ap-1211	94	23	will	will	AUX
ap-1211	94	24	formulate	formulate	VERB
ap-1211	94	25	its	its	PRON
ap-1211	94	26	result	result	NOUN
ap-1211	94	27	:	:	PUNCT
ap-1211	94	28	equations	equation	NOUN
ap-1211	94	29	(	(	PUNCT
ap-1211	94	30	5)–(7	5)–(7	NOUN
ap-1211	94	31	)	)	PUNCT
ap-1211	94	32	are	be	AUX
ap-1211	94	33	invariant	invariant	ADJ
ap-1211	94	34	w.r.t	w.r.t	NOUN
ap-1211	94	35	.	.	PUNCT
ap-1211	95	1	11	11	NUM
ap-1211	95	2	-	-	PUNCT
ap-1211	95	3	parametrical	parametrical	ADJ
ap-1211	95	4	extended	extend	VERB
ap-1211	95	5	poincaré	poincaré	ADJ
ap-1211	95	6	group	group	NOUN
ap-1211	95	7	p̃	p̃	PROPN
ap-1211	95	8	(	(	PUNCT
ap-1211	95	9	1	1	NUM
ap-1211	95	10	,	,	PUNCT
ap-1211	95	11	3	3	NUM
ap-1211	95	12	)	)	PUNCT
ap-1211	95	13	,	,	PUNCT
ap-1211	95	14	whose	whose	DET
ap-1211	95	15	infinitesimal	infinitesimal	ADJ
ap-1211	95	16	generators	generator	NOUN
ap-1211	95	17	are	be	AUX
ap-1211	95	18	pμ	pμ	NOUN
ap-1211	95	19	=	=	SYM
ap-1211	95	20	∂μ	∂μ	PROPN
ap-1211	95	21	,	,	PUNCT
ap-1211	95	22	jμν	jμν	NOUN
ap-1211	95	23	=	=	SYM
ap-1211	95	24	xμ∂ν	xμ∂ν	PROPN
ap-1211	95	25	−	−	PROPN
ap-1211	95	26	xν∂μ	xν∂μ	PROPN
ap-1211	96	1	+	+	CCONJ
ap-1211	96	2	sμν	sμν	INTJ
ap-1211	97	1	,	,	PUNCT
ap-1211	97	2	d	d	PROPN
ap-1211	97	3	=	=	SYM
ap-1211	97	4	xμ∂μ	xμ∂μ	PROPN
ap-1211	97	5	−	−	NOUN
ap-1211	98	1	i	i	PRON
ap-1211	98	2	−	−	PROPN
ap-1211	99	1	jμ∂jμ	jμ∂jμ	ADJ
ap-1211	99	2	.	.	PUNCT
ap-1211	100	1	(	(	PUNCT
ap-1211	100	2	17	17	NUM
ap-1211	100	3	)	)	PUNCT
ap-1211	100	4	here	here	ADV
ap-1211	100	5	i	i	PRON
ap-1211	100	6	=	=	PUNCT
ap-1211	100	7	fμ∂fμ	fμ∂fμ	X
ap-1211	101	1	+	+	NUM
ap-1211	101	2	fμν∂fμν	fμν∂fμν	PROPN
ap-1211	101	3	is	be	AUX
ap-1211	101	4	an	an	DET
ap-1211	101	5	operator	operator	NOUN
ap-1211	101	6	which	which	PRON
ap-1211	101	7	acts	act	VERB
ap-1211	101	8	on	on	ADP
ap-1211	101	9	the	the	DET
ap-1211	101	10	field	field	NOUN
ap-1211	101	11	variables	variable	NOUN
ap-1211	101	12	as	as	ADP
ap-1211	101	13	the	the	DET
ap-1211	101	14	unit	unit	NOUN
ap-1211	101	15	one	one	NUM
ap-1211	101	16	,	,	PUNCT
ap-1211	101	17	sμν	sμν	PROPN
ap-1211	101	18	are	be	AUX
ap-1211	101	19	generators	generator	NOUN
ap-1211	101	20	of	of	ADP
ap-1211	101	21	the	the	DET
ap-1211	101	22	lorentz	lorentz	PROPN
ap-1211	101	23	group	group	NOUN
ap-1211	101	24	acting	act	VERB
ap-1211	101	25	on	on	ADP
ap-1211	101	26	the	the	DET
ap-1211	101	27	field	field	NOUN
ap-1211	101	28	variables	variable	NOUN
ap-1211	101	29	and	and	CCONJ
ap-1211	101	30	currents	current	NOUN
ap-1211	101	31	:	:	PUNCT
ap-1211	101	32	sab	sab	PROPN
ap-1211	101	33	=	=	PROPN
ap-1211	101	34	kab	kab	PROPN
ap-1211	101	35	−kba	−kba	PROPN
ap-1211	101	36	,	,	PUNCT
ap-1211	101	37	kab	kab	PROPN
ap-1211	101	38	=	=	PROPN
ap-1211	101	39	fa∂fb	fa∂fb	PROPN
ap-1211	101	40	+	+	NUM
ap-1211	101	41	ea∂eb	ea∂eb	PUNCT
ap-1211	102	1	+	+	NOUN
ap-1211	102	2	ha∂hb	ha∂hb	PROPN
ap-1211	102	3	+	+	CCONJ
ap-1211	102	4	ja∂j	ja∂j	PROPN
ap-1211	102	5	b	b	PROPN
ap-1211	102	6	,	,	PUNCT
ap-1211	102	7	a	a	PRON
ap-1211	102	8	,	,	PUNCT
ap-1211	102	9	b	b	PROPN
ap-1211	102	10	�	�	PROPN
ap-1211	102	11	=	=	SYM
ap-1211	102	12	0	0	NUM
ap-1211	102	13	,	,	PUNCT
ap-1211	102	14	s0a	s0a	NOUN
ap-1211	102	15	=	=	NOUN
ap-1211	102	16	f0∂fa	f0∂fa	PROPN
ap-1211	102	17	+	+	CCONJ
ap-1211	102	18	fa∂f0	fa∂f0	ADJ
ap-1211	102	19	+	+	SYM
ap-1211	102	20	εabc(ea∂hb	εabc(ea∂hb	PROPN
ap-1211	102	21	−ha∂eb	−ha∂eb	NUM
ap-1211	102	22	hb∂ea	hb∂ea	NUM
ap-1211	102	23	)	)	PUNCT
ap-1211	102	24	.	.	PUNCT
ap-1211	103	1	(	(	PUNCT
ap-1211	103	2	18	18	NUM
ap-1211	103	3	)	)	PUNCT
ap-1211	103	4	thus	thus	ADV
ap-1211	103	5	,	,	PUNCT
ap-1211	103	6	in	in	ADP
ap-1211	103	7	contrast	contrast	NOUN
ap-1211	103	8	to	to	ADP
ap-1211	103	9	the	the	DET
ap-1211	103	10	cfj	cfj	PROPN
ap-1211	103	11	model	model	NOUN
ap-1211	103	12	,	,	PUNCT
ap-1211	103	13	the	the	DET
ap-1211	103	14	considered	consider	VERB
ap-1211	103	15	csm	csm	NOUN
ap-1211	103	16	model	model	NOUN
ap-1211	103	17	in	in	ADP
ap-1211	103	18	(	(	PUNCT
ap-1211	103	19	1	1	NUM
ap-1211	103	20	+	+	NUM
ap-1211	103	21	3)-dimensional	3)-dimensional	NUM
ap-1211	103	22	minkovski	minkovski	ADJ
ap-1211	103	23	space	space	NOUN
ap-1211	103	24	is	be	AUX
ap-1211	103	25	invariant	invariant	ADJ
ap-1211	103	26	w.r.t	w.r.t	NOUN
ap-1211	103	27	.	.	PUNCT
ap-1211	104	1	the	the	DET
ap-1211	104	2	extended	extended	ADJ
ap-1211	104	3	poincaré	poincaré	ADJ
ap-1211	104	4	group	group	NOUN
ap-1211	104	5	.	.	PUNCT
ap-1211	105	1	note	note	VERB
ap-1211	105	2	that	that	SCONJ
ap-1211	105	3	the	the	DET
ap-1211	105	4	additional	additional	ADJ
ap-1211	105	5	condition	condition	NOUN
ap-1211	105	6	(	(	PUNCT
ap-1211	105	7	8)	8)	NUM
ap-1211	105	8	also	also	ADV
ap-1211	105	9	is	be	AUX
ap-1211	105	10	invariant	invariant	ADJ
ap-1211	105	11	w.r.t	w.r.t	NOUN
ap-1211	105	12	.	.	PUNCT
ap-1211	106	1	this	this	DET
ap-1211	106	2	group	group	NOUN
ap-1211	106	3	;	;	PUNCT
ap-1211	106	4	violation	violation	NOUN
ap-1211	106	5	of	of	ADP
ap-1211	106	6	lorentz	lorentz	PROPN
ap-1211	106	7	invariance	invariance	NOUN
ap-1211	106	8	takes	take	VERB
ap-1211	106	9	place	place	NOUN
ap-1211	106	10	only	only	ADV
ap-1211	106	11	after	after	ADP
ap-1211	106	12	fixing	fix	VERB
ap-1211	106	13	particular	particular	ADJ
ap-1211	106	14	constant	constant	ADJ
ap-1211	106	15	solutions	solution	NOUN
ap-1211	106	16	fμ	fμ	NOUN
ap-1211	106	17	=	=	SYM
ap-1211	106	18	pμ	pμ	PROPN
ap-1211	106	19	.	.	PUNCT
ap-1211	107	1	equations	equation	NOUN
ap-1211	107	2	(	(	PUNCT
ap-1211	107	3	24	24	NUM
ap-1211	107	4	)	)	PUNCT
ap-1211	107	5	are	be	AUX
ap-1211	107	6	also	also	ADV
ap-1211	107	7	invariant	invariant	ADJ
ap-1211	107	8	w.r.t	w.r.t	NOUN
ap-1211	107	9	.	.	PUNCT
ap-1211	108	1	discrete	discrete	ADJ
ap-1211	108	2	transformations	transformation	NOUN
ap-1211	108	3	of	of	ADP
ap-1211	108	4	space	space	NOUN
ap-1211	108	5	reflection	reflection	NOUN
ap-1211	108	6	p	p	NOUN
ap-1211	108	7	and	and	CCONJ
ap-1211	108	8	time	time	NOUN
ap-1211	108	9	inversion	inversion	NOUN
ap-1211	108	10	t	t	NOUN
ap-1211	108	11	.	.	PUNCT
ap-1211	109	1	moreover	moreover	ADV
ap-1211	109	2	,	,	PUNCT
ap-1211	109	3	fμ	fμ	PROPN
ap-1211	109	4	is	be	AUX
ap-1211	109	5	a	a	DET
ap-1211	109	6	pseudovector	pseudovector	NOUN
ap-1211	109	7	and	and	CCONJ
ap-1211	109	8	so	so	ADV
ap-1211	109	9	the	the	DET
ap-1211	109	10	potential	potential	ADJ
ap-1211	109	11	a4	a4	NOUN
ap-1211	109	12	is	be	AUX
ap-1211	109	13	a	a	DET
ap-1211	109	14	pseudoscalar	pseudoscalar	ADJ
ap-1211	109	15	.	.	PUNCT
ap-1211	110	1	in	in	ADP
ap-1211	110	2	an	an	DET
ap-1211	110	3	analogous	analogous	ADJ
ap-1211	110	4	way	way	NOUN
ap-1211	110	5	we	we	PRON
ap-1211	110	6	have	have	AUX
ap-1211	110	7	found	find	VERB
ap-1211	110	8	the	the	DET
ap-1211	110	9	maximal	maximal	ADJ
ap-1211	110	10	lie	lie	NOUN
ap-1211	110	11	group	group	NOUN
ap-1211	110	12	and	and	CCONJ
ap-1211	110	13	discrete	discrete	ADJ
ap-1211	110	14	symmetries	symmetry	NOUN
ap-1211	110	15	admitted	admit	VERB
ap-1211	110	16	by	by	ADP
ap-1211	110	17	system	system	NOUN
ap-1211	110	18	(	(	PUNCT
ap-1211	110	19	12)–(14	12)–(14	NUM
ap-1211	110	20	)	)	PUNCT
ap-1211	110	21	.	.	PUNCT
ap-1211	111	1	it	it	PRON
ap-1211	111	2	happens	happen	VERB
ap-1211	111	3	that	that	SCONJ
ap-1211	111	4	the	the	DET
ap-1211	111	5	symmetry	symmetry	NOUN
ap-1211	111	6	of	of	ADP
ap-1211	111	7	this	this	DET
ap-1211	111	8	system	system	NOUN
ap-1211	111	9	is	be	AUX
ap-1211	111	10	completely	completely	ADV
ap-1211	111	11	analogous	analogous	ADJ
ap-1211	111	12	to	to	ADP
ap-1211	111	13	the	the	DET
ap-1211	111	14	symmetry	symmetry	NOUN
ap-1211	111	15	of	of	ADP
ap-1211	111	16	equations	equation	NOUN
ap-1211	111	17	(	(	PUNCT
ap-1211	111	18	5)–(7	5)–(7	NOUN
ap-1211	111	19	)	)	PUNCT
ap-1211	111	20	.	.	PUNCT
ap-1211	112	1	namely	namely	ADV
ap-1211	112	2	,	,	PUNCT
ap-1211	112	3	system	system	NOUN
ap-1211	112	4	(	(	PUNCT
ap-1211	112	5	12)–(14	12)–(14	NUM
ap-1211	112	6	)	)	PUNCT
ap-1211	112	7	is	be	AUX
ap-1211	112	8	invariant	invariant	ADJ
ap-1211	112	9	w.r.t	w.r.t	NOUN
ap-1211	112	10	.	.	PUNCT
ap-1211	113	1	extended	extend	VERB
ap-1211	113	2	poincaré	poincaré	ADJ
ap-1211	113	3	group	group	NOUN
ap-1211	113	4	p̃	p̃	PROPN
ap-1211	113	5	(	(	PUNCT
ap-1211	113	6	1	1	NUM
ap-1211	113	7	,	,	PUNCT
ap-1211	113	8	3	3	NUM
ap-1211	113	9	)	)	PUNCT
ap-1211	113	10	,	,	PUNCT
ap-1211	113	11	whose	whose	DET
ap-1211	113	12	generators	generator	NOUN
ap-1211	113	13	are	be	AUX
ap-1211	113	14	given	give	VERB
ap-1211	113	15	in	in	ADP
ap-1211	113	16	equations	equation	NOUN
ap-1211	113	17	(	(	PUNCT
ap-1211	113	18	17	17	NUM
ap-1211	113	19	)	)	PUNCT
ap-1211	113	20	,	,	PUNCT
ap-1211	113	21	and	and	CCONJ
ap-1211	113	22	admits	admit	VERB
ap-1211	113	23	discrete	discrete	ADJ
ap-1211	113	24	symmetry	symmetry	NOUN
ap-1211	113	25	transformations	transformation	NOUN
ap-1211	113	26	p	p	NOUN
ap-1211	113	27	,	,	PUNCT
ap-1211	113	28	c	c	PROPN
ap-1211	113	29	and	and	CCONJ
ap-1211	113	30	t.	t.	PROPN
ap-1211	113	31	6	6	NUM
ap-1211	113	32	non	non	ADJ
ap-1211	113	33	-	-	ADJ
ap-1211	113	34	relativistic	relativistic	ADJ
ap-1211	113	35	limit	limit	NOUN
ap-1211	113	36	the	the	DET
ap-1211	113	37	correct	correct	ADJ
ap-1211	113	38	definition	definition	NOUN
ap-1211	113	39	of	of	ADP
ap-1211	113	40	the	the	DET
ap-1211	113	41	non	non	ADJ
ap-1211	113	42	-	-	ADJ
ap-1211	113	43	relativistic	relativistic	ADJ
ap-1211	113	44	limit	limit	NOUN
ap-1211	113	45	is	be	AUX
ap-1211	113	46	by	by	ADP
ap-1211	113	47	no	no	DET
ap-1211	113	48	means	means	NOUN
ap-1211	113	49	a	a	DET
ap-1211	113	50	simple	simple	ADJ
ap-1211	113	51	problem	problem	NOUN
ap-1211	113	52	in	in	ADP
ap-1211	113	53	general	general	ADJ
ap-1211	113	54	and	and	CCONJ
ap-1211	113	55	in	in	ADP
ap-1211	113	56	the	the	DET
ap-1211	113	57	case	case	NOUN
ap-1211	113	58	of	of	ADP
ap-1211	113	59	theories	theory	NOUN
ap-1211	113	60	of	of	ADP
ap-1211	113	61	massless	massless	NOUN
ap-1211	113	62	fields	field	NOUN
ap-1211	113	63	in	in	ADP
ap-1211	113	64	particular	particular	ADJ
ap-1211	113	65	,	,	PUNCT
ap-1211	113	66	see	see	VERB
ap-1211	113	67	,	,	PUNCT
ap-1211	113	68	for	for	ADP
ap-1211	113	69	example	example	NOUN
ap-1211	113	70	,	,	PUNCT
ap-1211	113	71	[	[	X
ap-1211	113	72	12	12	NUM
ap-1211	113	73	]	]	PUNCT
ap-1211	113	74	.	.	PUNCT
ap-1211	114	1	a	a	DET
ap-1211	114	2	necessary	necessary	ADJ
ap-1211	114	3	(	(	PUNCT
ap-1211	114	4	but	but	CCONJ
ap-1211	114	5	not	not	PART
ap-1211	114	6	sufficient	sufficient	ADJ
ap-1211	114	7	)	)	PUNCT
ap-1211	114	8	condition	condition	NOUN
ap-1211	114	9	for	for	ADP
ap-1211	114	10	obtaining	obtain	VERB
ap-1211	114	11	consistent	consistent	ADJ
ap-1211	114	12	non	non	ADJ
ap-1211	114	13	-	-	ADJ
ap-1211	114	14	relativistic	relativistic	ADJ
ap-1211	114	15	limit	limit	NOUN
ap-1211	114	16	of	of	ADP
ap-1211	114	17	a	a	DET
ap-1211	114	18	relativistic	relativistic	ADJ
ap-1211	114	19	theory	theory	NOUN
ap-1211	114	20	is	be	AUX
ap-1211	114	21	to	to	PART
ap-1211	114	22	take	take	VERB
ap-1211	114	23	care	care	NOUN
ap-1211	114	24	that	that	SCONJ
ap-1211	114	25	the	the	DET
ap-1211	114	26	limiting	limit	VERB
ap-1211	114	27	theory	theory	NOUN
ap-1211	114	28	be	be	VERB
ap-1211	114	29	in	in	ADP
ap-1211	114	30	agreement	agreement	NOUN
ap-1211	114	31	with	with	ADP
ap-1211	114	32	the	the	DET
ap-1211	114	33	principle	principle	NOUN
ap-1211	114	34	of	of	ADP
ap-1211	114	35	galilean	galilean	PROPN
ap-1211	114	36	relativity	relativity	NOUN
ap-1211	114	37	[	[	X
ap-1211	114	38	11	11	NUM
ap-1211	114	39	]	]	PUNCT
ap-1211	114	40	.	.	PUNCT
ap-1211	115	1	to	to	PART
ap-1211	115	2	find	find	VERB
ap-1211	115	3	a	a	DET
ap-1211	115	4	non	non	ADJ
ap-1211	115	5	-	-	ADJ
ap-1211	115	6	relativistic	relativistic	ADJ
ap-1211	115	7	limit	limit	NOUN
ap-1211	115	8	of	of	ADP
ap-1211	115	9	equations	equation	NOUN
ap-1211	115	10	(	(	PUNCT
ap-1211	115	11	24	24	NUM
ap-1211	115	12	)	)	PUNCT
ap-1211	115	13	we	we	PRON
ap-1211	115	14	use	use	VERB
ap-1211	115	15	the	the	DET
ap-1211	115	16	inönü-wigner	inönü-wign	ADJ
ap-1211	115	17	contraction	contraction	NOUN
ap-1211	115	18	[	[	X
ap-1211	115	19	13	13	NUM
ap-1211	115	20	]	]	PUNCT
ap-1211	115	21	,	,	PUNCT
ap-1211	115	22	which	which	PRON
ap-1211	115	23	guarantees	guarantee	VERB
ap-1211	115	24	galilean	galilean	PROPN
ap-1211	115	25	symmetry	symmetry	NOUN
ap-1211	115	26	of	of	ADP
ap-1211	115	27	the	the	DET
ap-1211	115	28	limiting	limit	VERB
ap-1211	115	29	theory	theory	NOUN
ap-1211	115	30	.	.	PUNCT
ap-1211	116	1	namely	namely	ADV
ap-1211	116	2	,	,	PUNCT
ap-1211	116	3	we	we	PRON
ap-1211	116	4	shall	shall	AUX
ap-1211	116	5	start	start	VERB
ap-1211	116	6	with	with	ADP
ap-1211	116	7	the	the	DET
ap-1211	116	8	representation	representation	NOUN
ap-1211	116	9	of	of	ADP
ap-1211	116	10	the	the	DET
ap-1211	116	11	poincaré	poincaré	ADJ
ap-1211	116	12	algebra	algebra	NOUN
ap-1211	116	13	,	,	PUNCT
ap-1211	116	14	which	which	PRON
ap-1211	116	15	is	be	AUX
ap-1211	116	16	realized	realize	VERB
ap-1211	116	17	on	on	ADP
ap-1211	116	18	the	the	DET
ap-1211	116	19	set	set	NOUN
ap-1211	116	20	of	of	ADP
ap-1211	116	21	solutions	solution	NOUN
ap-1211	116	22	of	of	ADP
ap-1211	116	23	equations	equation	NOUN
ap-1211	116	24	(	(	PUNCT
ap-1211	116	25	24	24	NUM
ap-1211	116	26	)	)	PUNCT
ap-1211	116	27	,	,	PUNCT
ap-1211	116	28	and	and	CCONJ
ap-1211	116	29	contract	contract	VERB
ap-1211	116	30	it	it	PRON
ap-1211	116	31	to	to	ADP
ap-1211	116	32	the	the	DET
ap-1211	116	33	representation	representation	NOUN
ap-1211	116	34	of	of	ADP
ap-1211	116	35	the	the	DET
ap-1211	116	36	galilei	galilei	NOUN
ap-1211	116	37	algebra	algebra	NOUN
ap-1211	116	38	.	.	PUNCT
ap-1211	117	1	then	then	ADV
ap-1211	117	2	,	,	PUNCT
ap-1211	117	3	using	use	VERB
ap-1211	117	4	the	the	DET
ap-1211	117	5	contraction	contraction	NOUN
ap-1211	117	6	matrix	matrix	NOUN
ap-1211	117	7	we	we	PRON
ap-1211	117	8	find	find	VERB
ap-1211	117	9	the	the	DET
ap-1211	117	10	galilean	galilean	PROPN
ap-1211	117	11	limits	limit	NOUN
ap-1211	117	12	of	of	ADP
ap-1211	117	13	lagrangian	lagrangian	ADJ
ap-1211	117	14	(	(	PUNCT
ap-1211	117	15	3	3	NUM
ap-1211	117	16	)	)	PUNCT
ap-1211	117	17	and	and	CCONJ
ap-1211	117	18	system	system	NOUN
ap-1211	117	19	(	(	PUNCT
ap-1211	117	20	24	24	NUM
ap-1211	117	21	)	)	PUNCT
ap-1211	117	22	.	.	PUNCT
ap-1211	118	1	the	the	DET
ap-1211	118	2	tensor	tensor	NOUN
ap-1211	118	3	field	field	NOUN
ap-1211	118	4	fμν	fμν	NOUN
ap-1211	118	5	and	and	CCONJ
ap-1211	118	6	vector	vector	NOUN
ap-1211	118	7	field	field	NOUN
ap-1211	118	8	fμ	fμ	NOUN
ap-1211	118	9	transform	transform	NOUN
ap-1211	118	10	in	in	ADP
ap-1211	118	11	accordance	accordance	NOUN
ap-1211	118	12	with	with	ADP
ap-1211	118	13	the	the	DET
ap-1211	118	14	representation	representation	NOUN
ap-1211	118	15	[	[	X
ap-1211	118	16	d(0	d(0	NOUN
ap-1211	118	17	,	,	PUNCT
ap-1211	118	18	1)⊕d(1	1)⊕d(1	NUM
ap-1211	118	19	,	,	PUNCT
ap-1211	118	20	0)]⊕d(1/2	0)]⊕d(1/2	NOUN
ap-1211	118	21	,	,	PUNCT
ap-1211	118	22	1/2	1/2	NUM
ap-1211	118	23	)	)	PUNCT
ap-1211	118	24	(	(	PUNCT
ap-1211	118	25	19	19	NUM
ap-1211	118	26	)	)	PUNCT
ap-1211	118	27	of	of	ADP
ap-1211	118	28	the	the	DET
ap-1211	118	29	lorentz	lorentz	PROPN
ap-1211	118	30	group	group	NOUN
ap-1211	118	31	.	.	PUNCT
ap-1211	119	1	contractions	contraction	NOUN
ap-1211	119	2	of	of	ADP
ap-1211	119	3	this	this	DET
ap-1211	119	4	representation	representation	NOUN
ap-1211	119	5	(	(	PUNCT
ap-1211	119	6	and	and	CCONJ
ap-1211	119	7	also	also	ADV
ap-1211	119	8	of	of	ADP
ap-1211	119	9	all	all	DET
ap-1211	119	10	irreducible	irreducible	ADJ
ap-1211	119	11	representations	representation	NOUN
ap-1211	119	12	involved	involve	VERB
ap-1211	119	13	into	into	ADP
ap-1211	119	14	the	the	DET
ap-1211	119	15	direct	direct	ADJ
ap-1211	119	16	sum	sum	NOUN
ap-1211	119	17	(	(	PUNCT
ap-1211	119	18	19	19	NUM
ap-1211	119	19	)	)	PUNCT
ap-1211	119	20	)	)	PUNCT
ap-1211	119	21	to	to	PART
ap-1211	119	22	indecomposable	indecomposable	VERB
ap-1211	119	23	representations	representation	NOUN
ap-1211	119	24	of	of	ADP
ap-1211	119	25	the	the	DET
ap-1211	119	26	homogeneous	homogeneous	ADJ
ap-1211	119	27	galilei	galilei	NOUN
ap-1211	119	28	group	group	NOUN
ap-1211	119	29	hg(1	hg(1	PROPN
ap-1211	119	30	,	,	PUNCT
ap-1211	119	31	3	3	NUM
ap-1211	119	32	)	)	PUNCT
ap-1211	119	33	were	be	AUX
ap-1211	119	34	discussed	discuss	VERB
ap-1211	119	35	in	in	ADP
ap-1211	119	36	[	[	X
ap-1211	119	37	14	14	NUM
ap-1211	119	38	]	]	PUNCT
ap-1211	119	39	and	and	CCONJ
ap-1211	119	40	[	[	X
ap-1211	119	41	15	15	NUM
ap-1211	119	42	]	]	PUNCT
ap-1211	119	43	.	.	PUNCT
ap-1211	120	1	the	the	DET
ap-1211	120	2	contraction	contraction	NOUN
ap-1211	120	3	of	of	ADP
ap-1211	120	4	(	(	PUNCT
ap-1211	120	5	19	19	NUM
ap-1211	120	6	)	)	PUNCT
ap-1211	120	7	to	to	ADP
ap-1211	120	8	the	the	DET
ap-1211	120	9	indecomposable	indecomposable	ADJ
ap-1211	120	10	representation	representation	NOUN
ap-1211	120	11	of	of	ADP
ap-1211	120	12	hg(1	hg(1	PROPN
ap-1211	120	13	,	,	PUNCT
ap-1211	120	14	3	3	NUM
ap-1211	120	15	)	)	PUNCT
ap-1211	120	16	is	be	AUX
ap-1211	120	17	reduced	reduce	VERB
ap-1211	120	18	to	to	ADP
ap-1211	120	19	the	the	DET
ap-1211	120	20	following	follow	VERB
ap-1211	120	21	procedure	procedure	NOUN
ap-1211	120	22	.	.	PUNCT
ap-1211	121	1	first	first	ADV
ap-1211	121	2	,	,	PUNCT
ap-1211	121	3	let	let	VERB
ap-1211	121	4	us	we	PRON
ap-1211	121	5	represent	represent	VERB
ap-1211	121	6	the	the	DET
ap-1211	121	7	field	field	NOUN
ap-1211	121	8	variables	variable	NOUN
ap-1211	121	9	as	as	ADP
ap-1211	121	10	a	a	DET
ap-1211	121	11	ten	ten	NUM
ap-1211	121	12	component	component	NOUN
ap-1211	121	13	vector	vector	NOUN
ap-1211	121	14	ψ	ψ	NOUN
ap-1211	121	15	=	=	NOUN
ap-1211	121	16	column(f	column(f	NOUN
ap-1211	121	17	01	01	NUM
ap-1211	121	18	,	,	PUNCT
ap-1211	121	19	f	f	PROPN
ap-1211	121	20	02	02	NUM
ap-1211	121	21	,	,	PUNCT
ap-1211	121	22	f	f	PROPN
ap-1211	121	23	03	03	NUM
ap-1211	121	24	,	,	PUNCT
ap-1211	121	25	f	f	PROPN
ap-1211	121	26	23	23	NUM
ap-1211	121	27	,	,	PUNCT
ap-1211	121	28	f	f	PROPN
ap-1211	121	29	31	31	NUM
ap-1211	121	30	,	,	PUNCT
ap-1211	121	31	f	f	PROPN
ap-1211	121	32	12	12	NUM
ap-1211	121	33	,	,	PUNCT
ap-1211	121	34	f	f	PROPN
ap-1211	121	35	1	1	NUM
ap-1211	121	36	,	,	PUNCT
ap-1211	121	37	f	f	PROPN
ap-1211	121	38	2	2	NUM
ap-1211	121	39	,	,	PUNCT
ap-1211	121	40	f	f	PROPN
ap-1211	121	41	3	3	NUM
ap-1211	121	42	,	,	PUNCT
ap-1211	121	43	f	f	PROPN
ap-1211	121	44	0	0	NUM
ap-1211	121	45	)	)	PUNCT
ap-1211	121	46	(	(	PUNCT
ap-1211	121	47	20	20	NUM
ap-1211	121	48	)	)	PUNCT
ap-1211	121	49	then	then	ADV
ap-1211	121	50	lorentz	lorentz	PROPN
ap-1211	121	51	generators	generator	NOUN
ap-1211	121	52	(	(	PUNCT
ap-1211	121	53	18	18	NUM
ap-1211	121	54	)	)	PUNCT
ap-1211	121	55	act	act	NOUN
ap-1211	121	56	on	on	ADP
ap-1211	121	57	ψ	ψ	PRON
ap-1211	121	58	as	as	ADP
ap-1211	121	59	the	the	DET
ap-1211	121	60	following	follow	VERB
ap-1211	121	61	matrices	matrix	NOUN
ap-1211	121	62	98	98	NUM
ap-1211	121	63	acta	acta	PROPN
ap-1211	121	64	polytechnica	polytechnica	PROPN
ap-1211	121	65	vol	vol	NOUN
ap-1211	121	66	.	.	PROPN
ap-1211	122	1	50	50	NUM
ap-1211	122	2	no	no	NOUN
ap-1211	122	3	.	.	PUNCT
ap-1211	123	1	3/2010	3/2010	PROPN
ap-1211	123	2	sab=	sab=	PROPN
ap-1211	123	3	εabc	εabc	VERB
ap-1211	123	4	⎛⎜⎜⎜⎜⎝	⎛⎜⎜⎜⎜⎝	X
ap-1211	123	5	sc	sc	X
ap-1211	123	6	0	0	NUM
ap-1211	123	7	0	0	NUM
ap-1211	123	8	0	0	SYM
ap-1211	123	9	0	0	NUM
ap-1211	123	10	sc	sc	PROPN
ap-1211	123	11	0	0	NUM
ap-1211	123	12	0	0	NUM
ap-1211	123	13	0	0	SYM
ap-1211	123	14	0	0	NUM
ap-1211	123	15	sc	sc	PROPN
ap-1211	123	16	0	0	NUM
ap-1211	123	17	0	0	NUM
ap-1211	123	18	0	0	NUM
ap-1211	123	19	0	0	NUM
ap-1211	123	20	0	0	NUM
ap-1211	124	1	⎞⎟⎟⎟⎟⎠	⎞⎟⎟⎟⎟⎠	NOUN
ap-1211	124	2	;	;	PUNCT
ap-1211	124	3	s0a=	s0a=	X
ap-1211	124	4	⎛⎜⎜⎜⎜⎝	⎛⎜⎜⎜⎜⎝	X
ap-1211	124	5	0	0	SYM
ap-1211	124	6	−sa	−sa	PROPN
ap-1211	124	7	0	0	NUM
ap-1211	124	8	0	0	NUM
ap-1211	124	9	sa	sa	NOUN
ap-1211	124	10	0	0	NUM
ap-1211	124	11	0	0	NUM
ap-1211	124	12	0	0	NUM
ap-1211	124	13	0	0	NUM
ap-1211	124	14	0	0	NUM
ap-1211	124	15	0	0	NUM
ap-1211	125	1	k†a	k†a	NUM
ap-1211	125	2	0	0	NUM
ap-1211	125	3	0	0	NUM
ap-1211	125	4	−ka	−ka	NOUN
ap-1211	125	5	0	0	X
ap-1211	125	6	⎞⎟⎟⎟⎟⎠	⎞⎟⎟⎟⎟⎠	NOUN
ap-1211	125	7	.	.	PUNCT
ap-1211	126	1	(	(	PUNCT
ap-1211	126	2	21	21	NUM
ap-1211	126	3	)	)	PUNCT
ap-1211	126	4	here	here	ADV
ap-1211	126	5	sa	sa	PROPN
ap-1211	126	6	are	be	AUX
ap-1211	126	7	spin	spin	NOUN
ap-1211	126	8	-	-	PUNCT
ap-1211	126	9	one	one	NUM
ap-1211	126	10	matrices	matrix	NOUN
ap-1211	126	11	whose	whose	DET
ap-1211	126	12	elements	element	NOUN
ap-1211	126	13	are	be	AUX
ap-1211	126	14	(	(	PUNCT
ap-1211	126	15	sa)bc	sa)bc	NOUN
ap-1211	126	16	=	=	PRON
ap-1211	126	17	iεabc	iεabc	VERB
ap-1211	126	18	,	,	PUNCT
ap-1211	126	19	and	and	CCONJ
ap-1211	126	20	ka	ka	PROPN
ap-1211	126	21	are	be	AUX
ap-1211	126	22	1×	1×	NUM
ap-1211	126	23	3	3	NUM
ap-1211	126	24	matrices	matrix	NOUN
ap-1211	126	25	of	of	ADP
ap-1211	126	26	the	the	DET
ap-1211	126	27	form	form	NOUN
ap-1211	126	28	k1	k1	NOUN
ap-1211	126	29	=	=	SYM
ap-1211	126	30	(	(	PUNCT
ap-1211	126	31	i	i	PROPN
ap-1211	126	32	,	,	PUNCT
ap-1211	126	33	0	0	NUM
ap-1211	126	34	,	,	PUNCT
ap-1211	126	35	0	0	NUM
ap-1211	126	36	)	)	PUNCT
ap-1211	126	37	,	,	PUNCT
ap-1211	126	38	k2	k2	NOUN
ap-1211	126	39	=	=	SYM
ap-1211	126	40	(	(	PUNCT
ap-1211	126	41	0	0	NUM
ap-1211	126	42	,	,	PUNCT
ap-1211	126	43	i	i	PRON
ap-1211	126	44	,	,	PUNCT
ap-1211	126	45	0	0	NUM
ap-1211	126	46	)	)	PUNCT
ap-1211	126	47	,	,	PUNCT
ap-1211	126	48	k3	k3	X
ap-1211	126	49	=	=	SYM
ap-1211	126	50	(	(	PUNCT
ap-1211	126	51	0	0	NUM
ap-1211	126	52	,	,	PUNCT
ap-1211	126	53	0	0	NUM
ap-1211	126	54	,	,	PUNCT
ap-1211	126	55	i	i	NOUN
ap-1211	126	56	)	)	PUNCT
ap-1211	126	57	,	,	PUNCT
ap-1211	126	58	(	(	PUNCT
ap-1211	126	59	22	22	NUM
ap-1211	126	60	)	)	PUNCT
ap-1211	126	61	and	and	CCONJ
ap-1211	126	62	0	0	NUM
ap-1211	126	63	denote	denote	VERB
ap-1211	126	64	the	the	DET
ap-1211	126	65	zero	zero	NUM
ap-1211	126	66	matrices	matrix	NOUN
ap-1211	126	67	of	of	ADP
ap-1211	126	68	an	an	DET
ap-1211	126	69	appropriate	appropriate	ADJ
ap-1211	126	70	dimension	dimension	NOUN
ap-1211	126	71	.	.	PUNCT
ap-1211	127	1	the	the	DET
ap-1211	127	2	inönü-wigner	inönü-wign	ADJ
ap-1211	127	3	contraction	contraction	NOUN
ap-1211	127	4	consists	consist	VERB
ap-1211	127	5	of	of	ADP
ap-1211	127	6	transformation	transformation	NOUN
ap-1211	127	7	to	to	ADP
ap-1211	127	8	a	a	DET
ap-1211	127	9	new	new	ADJ
ap-1211	127	10	basis	basis	NOUN
ap-1211	127	11	sab	sab	PROPN
ap-1211	127	12	→	→	SYM
ap-1211	127	13	sab	sab	ADJ
ap-1211	127	14	,	,	PUNCT
ap-1211	127	15	s0a	s0a	PROPN
ap-1211	127	16	→	→	SYM
ap-1211	127	17	εs0a	εs0a	PROPN
ap-1211	127	18	followed	follow	VERB
ap-1211	127	19	by	by	ADP
ap-1211	127	20	a	a	DET
ap-1211	127	21	similarity	similarity	NOUN
ap-1211	127	22	transformation	transformation	NOUN
ap-1211	127	23	of	of	ADP
ap-1211	127	24	basis	basis	NOUN
ap-1211	127	25	elements	element	NOUN
ap-1211	127	26	sμν	sμν	PROPN
ap-1211	127	27	→	→	PUNCT
ap-1211	127	28	s′	s′	ADJ
ap-1211	127	29	μν	μν	PROPN
ap-1211	127	30	=	=	SYM
ap-1211	127	31	v	v	ADP
ap-1211	127	32	sμνv	sμνv	NOUN
ap-1211	127	33	−1	−1	NOUN
ap-1211	127	34	with	with	ADP
ap-1211	127	35	a	a	DET
ap-1211	127	36	matrix	matrix	NOUN
ap-1211	127	37	v	v	ADP
ap-1211	127	38	depending	depend	VERB
ap-1211	127	39	on	on	ADP
ap-1211	127	40	contracting	contracting	NOUN
ap-1211	127	41	parameter	parameter	NOUN
ap-1211	127	42	ε	ε	PROPN
ap-1211	127	43	.	.	PUNCT
ap-1211	128	1	moreover	moreover	ADV
ap-1211	128	2	,	,	PUNCT
ap-1211	128	3	v	v	PROPN
ap-1211	128	4	should	should	AUX
ap-1211	128	5	depend	depend	VERB
ap-1211	128	6	on	on	ADP
ap-1211	128	7	ε	ε	PROPN
ap-1211	128	8	in	in	ADP
ap-1211	128	9	a	a	DET
ap-1211	128	10	tricky	tricky	ADJ
ap-1211	128	11	way	way	NOUN
ap-1211	128	12	,	,	PUNCT
ap-1211	128	13	such	such	ADJ
ap-1211	128	14	that	that	SCONJ
ap-1211	128	15	all	all	DET
ap-1211	128	16	the	the	DET
ap-1211	128	17	transformed	transform	VERB
ap-1211	128	18	generators	generator	NOUN
ap-1211	128	19	s′	s′	VERB
ap-1211	128	20	ab	ab	PROPN
ap-1211	128	21	and	and	CCONJ
ap-1211	128	22	εs′	εs′	NUM
ap-1211	128	23	0a	0a	PROPN
ap-1211	128	24	are	be	AUX
ap-1211	128	25	kept	keep	VERB
ap-1211	128	26	non	non	ADJ
ap-1211	128	27	-	-	ADJ
ap-1211	128	28	trivial	trivial	ADJ
ap-1211	128	29	and	and	CCONJ
ap-1211	128	30	non	non	ADJ
ap-1211	128	31	-	-	ADJ
ap-1211	128	32	singular	singular	ADJ
ap-1211	128	33	when	when	SCONJ
ap-1211	128	34	ε	ε	PROPN
ap-1211	128	35	→	→	SYM
ap-1211	128	36	0	0	PUNCT
ap-1211	129	1	[	[	X
ap-1211	129	2	13	13	NUM
ap-1211	129	3	]	]	PUNCT
ap-1211	129	4	.	.	PUNCT
ap-1211	130	1	in	in	ADP
ap-1211	130	2	accordance	accordance	NOUN
ap-1211	130	3	with	with	ADP
ap-1211	130	4	[	[	X
ap-1211	130	5	14	14	NUM
ap-1211	130	6	,	,	PUNCT
ap-1211	130	7	15	15	NUM
ap-1211	130	8	]	]	PUNCT
ap-1211	130	9	,	,	PUNCT
ap-1211	130	10	representation	representation	NOUN
ap-1211	130	11	(	(	PUNCT
ap-1211	130	12	19	19	NUM
ap-1211	130	13	)	)	PUNCT
ap-1211	130	14	can	can	AUX
ap-1211	130	15	be	be	AUX
ap-1211	130	16	contracted	contract	VERB
ap-1211	130	17	either	either	ADV
ap-1211	130	18	to	to	ADP
ap-1211	130	19	the	the	DET
ap-1211	130	20	indecomposable	indecomposable	ADJ
ap-1211	130	21	representation	representation	NOUN
ap-1211	130	22	of	of	ADP
ap-1211	130	23	hg(1	hg(1	PROPN
ap-1211	130	24	,	,	PUNCT
ap-1211	130	25	3	3	NUM
ap-1211	130	26	)	)	PUNCT
ap-1211	130	27	or	or	CCONJ
ap-1211	130	28	to	to	ADP
ap-1211	130	29	a	a	DET
ap-1211	130	30	direct	direct	ADJ
ap-1211	130	31	sum	sum	NOUN
ap-1211	130	32	of	of	ADP
ap-1211	130	33	such	such	ADJ
ap-1211	130	34	representations	representation	NOUN
ap-1211	130	35	.	.	PUNCT
ap-1211	131	1	to	to	PART
ap-1211	131	2	obtain	obtain	VERB
ap-1211	131	3	an	an	DET
ap-1211	131	4	indecomposable	indecomposable	ADJ
ap-1211	131	5	representation	representation	NOUN
ap-1211	131	6	,	,	PUNCT
ap-1211	131	7	contraction	contraction	NOUN
ap-1211	131	8	matrix	matrix	NOUN
ap-1211	131	9	v	v	NOUN
ap-1211	131	10	has	have	VERB
ap-1211	131	11	to	to	PART
ap-1211	131	12	be	be	AUX
ap-1211	131	13	chosen	choose	VERB
ap-1211	131	14	in	in	ADP
ap-1211	131	15	the	the	DET
ap-1211	131	16	following	follow	VERB
ap-1211	131	17	form	form	NOUN
ap-1211	131	18	:	:	PUNCT
ap-1211	131	19	v	v	NOUN
ap-1211	131	20	=	=	SYM
ap-1211	131	21	⎛⎜⎜⎜⎜⎝	⎛⎜⎜⎜⎜⎝	X
ap-1211	131	22	ε	ε	PROPN
ap-1211	131	23	2	2	NUM
ap-1211	131	24	0	0	NUM
ap-1211	131	25	ε	ε	PROPN
ap-1211	131	26	2	2	NUM
ap-1211	131	27	0	0	NUM
ap-1211	131	28	0	0	NUM
ap-1211	132	1	i	i	NOUN
ap-1211	132	2	0	0	NUM
ap-1211	132	3	0	0	NUM
ap-1211	132	4	−ε−1	−ε−1	NUM
ap-1211	132	5	0	0	NUM
ap-1211	133	1	ε−1	ε−1	NUM
ap-1211	133	2	0	0	NUM
ap-1211	133	3	0	0	NUM
ap-1211	133	4	0	0	NUM
ap-1211	133	5	0	0	NUM
ap-1211	133	6	1	1	NUM
ap-1211	133	7	⎞⎟⎟⎟⎟⎠	⎞⎟⎟⎟⎟⎠	NOUN
ap-1211	133	8	,	,	PUNCT
ap-1211	133	9	v	v	ADP
ap-1211	133	10	−1=	−1=	NOUN
ap-1211	133	11	⎛⎜⎜⎜⎜⎜⎝	⎛⎜⎜⎜⎜⎜⎝	NOUN
ap-1211	133	12	ε−1	ε−1	PROPN
ap-1211	133	13	0	0	NUM
ap-1211	133	14	−ε	−ε	PROPN
ap-1211	133	15	2	2	NUM
ap-1211	133	16	0	0	NUM
ap-1211	133	17	0	0	PUNCT
ap-1211	134	1	i	i	NOUN
ap-1211	134	2	0	0	NUM
ap-1211	134	3	0	0	NUM
ap-1211	135	1	ε−1	ε−1	PROPN
ap-1211	135	2	0	0	NUM
ap-1211	135	3	ε	ε	PROPN
ap-1211	135	4	2	2	NUM
ap-1211	135	5	0	0	NUM
ap-1211	135	6	0	0	NUM
ap-1211	135	7	0	0	NUM
ap-1211	135	8	0	0	NUM
ap-1211	135	9	1	1	NUM
ap-1211	135	10	⎞⎟⎟⎟⎟⎟⎠	⎞⎟⎟⎟⎟⎟⎠	NOUN
ap-1211	135	11	.	.	PUNCT
ap-1211	136	1	(	(	PUNCT
ap-1211	136	2	23	23	NUM
ap-1211	136	3	)	)	PUNCT
ap-1211	136	4	to	to	PART
ap-1211	136	5	apply	apply	VERB
ap-1211	136	6	the	the	DET
ap-1211	136	7	contraction	contraction	NOUN
ap-1211	136	8	procedure	procedure	NOUN
ap-1211	136	9	to	to	ADP
ap-1211	136	10	the	the	DET
ap-1211	136	11	field	field	NOUN
ap-1211	136	12	equations	equation	NOUN
ap-1211	136	13	(	(	PUNCT
ap-1211	136	14	5)–(7	5)–(7	NUM
ap-1211	136	15	)	)	PUNCT
ap-1211	136	16	we	we	PRON
ap-1211	136	17	first	first	ADV
ap-1211	136	18	write	write	VERB
ap-1211	136	19	them	they	PRON
ap-1211	136	20	in	in	ADP
ap-1211	136	21	vector	vector	NOUN
ap-1211	136	22	notations	notation	NOUN
ap-1211	136	23	∂0e−∇×b	∂0e−∇×b	NOUN
ap-1211	136	24	=	=	SYM
ap-1211	136	25	κ(f0b−	κ(f0b−	ADJ
ap-1211	136	26	f×e	f×e	PROPN
ap-1211	136	27	)	)	PUNCT
ap-1211	137	1	+	+	CCONJ
ap-1211	137	2	ej	ej	PROPN
ap-1211	137	3	,	,	PUNCT
ap-1211	137	4	(	(	PUNCT
ap-1211	137	5	24	24	NUM
ap-1211	137	6	)	)	PUNCT
ap-1211	137	7	∇	∇	X
ap-1211	137	8	·	·	PUNCT
ap-1211	137	9	e	e	X
ap-1211	137	10	=	=	SYM
ap-1211	137	11	κf	κf	PROPN
ap-1211	137	12	·	·	PUNCT
ap-1211	137	13	b+	b+	X
ap-1211	137	14	ej0	ej0	PROPN
ap-1211	137	15	,	,	PUNCT
ap-1211	137	16	(	(	PUNCT
ap-1211	137	17	25	25	NUM
ap-1211	137	18	)	)	PUNCT
ap-1211	137	19	∂0b+∇×e	∂0b+∇×e	NOUN
ap-1211	137	20	=	=	SYM
ap-1211	137	21	0	0	NUM
ap-1211	137	22	,	,	PUNCT
ap-1211	137	23	(	(	PUNCT
ap-1211	137	24	26	26	NUM
ap-1211	137	25	)	)	PUNCT
ap-1211	137	26	∇	∇	X
ap-1211	137	27	·	·	SYM
ap-1211	137	28	b	b	X
ap-1211	137	29	=	=	SYM
ap-1211	137	30	0	0	PROPN
ap-1211	137	31	,	,	PUNCT
ap-1211	137	32	(	(	PUNCT
ap-1211	137	33	27	27	NUM
ap-1211	137	34	)	)	PUNCT
ap-1211	137	35	∂0f0	∂0f0	PUNCT
ap-1211	137	36	−∇	−∇	VERB
ap-1211	137	37	·	·	PUNCT
ap-1211	137	38	f	f	X
ap-1211	137	39	=	=	SYM
ap-1211	137	40	−κe	−κe	PROPN
ap-1211	137	41	·	·	PUNCT
ap-1211	137	42	b+	b+	X
ap-1211	137	43	qj4	qj4	X
ap-1211	137	44	,	,	PUNCT
ap-1211	137	45	(	(	PUNCT
ap-1211	137	46	28	28	NUM
ap-1211	137	47	)	)	PUNCT
ap-1211	137	48	∂0f−∇f0	∂0f−∇f0	PROPN
ap-1211	137	49	=	=	SYM
ap-1211	137	50	0	0	NUM
ap-1211	137	51	,	,	PUNCT
ap-1211	137	52	(	(	PUNCT
ap-1211	137	53	29	29	NUM
ap-1211	137	54	)	)	PUNCT
ap-1211	137	55	∇×	∇×	NOUN
ap-1211	137	56	f	f	NOUN
ap-1211	138	1	=	=	SYM
ap-1211	138	2	0	0	PROPN
ap-1211	138	3	.	.	PUNCT
ap-1211	139	1	(	(	PUNCT
ap-1211	139	2	30	30	X
ap-1211	139	3	)	)	PUNCT
ap-1211	139	4	taking	take	VERB
ap-1211	139	5	half	half	NOUN
ap-1211	139	6	sums	sum	NOUN
ap-1211	139	7	and	and	CCONJ
ap-1211	139	8	half	half	NOUN
ap-1211	139	9	divergences	divergence	NOUN
ap-1211	139	10	of	of	ADP
ap-1211	139	11	pairs	pair	NOUN
ap-1211	139	12	of	of	ADP
ap-1211	139	13	equation	equation	NOUN
ap-1211	139	14	(	(	PUNCT
ap-1211	139	15	25	25	NUM
ap-1211	139	16	)	)	PUNCT
ap-1211	139	17	and	and	CCONJ
ap-1211	139	18	(	(	PUNCT
ap-1211	139	19	28	28	NUM
ap-1211	139	20	)	)	PUNCT
ap-1211	139	21	,	,	PUNCT
ap-1211	139	22	(	(	PUNCT
ap-1211	139	23	24	24	NUM
ap-1211	139	24	)	)	PUNCT
ap-1211	139	25	and	and	CCONJ
ap-1211	139	26	(	(	PUNCT
ap-1211	139	27	29	29	NUM
ap-1211	139	28	)	)	PUNCT
ap-1211	139	29	,	,	PUNCT
ap-1211	139	30	(	(	PUNCT
ap-1211	139	31	26	26	NUM
ap-1211	139	32	)	)	PUNCT
ap-1211	139	33	and	and	CCONJ
ap-1211	139	34	(	(	PUNCT
ap-1211	139	35	30	30	X
ap-1211	139	36	)	)	PUNCT
ap-1211	139	37	we	we	PRON
ap-1211	139	38	come	come	VERB
ap-1211	139	39	to	to	ADP
ap-1211	139	40	a	a	DET
ap-1211	139	41	system	system	NOUN
ap-1211	139	42	equivalent	equivalent	ADJ
ap-1211	139	43	to	to	ADP
ap-1211	139	44	(	(	PUNCT
ap-1211	139	45	24)–(30	24)–(30	NUM
ap-1211	139	46	):	):	PUNCT
ap-1211	139	47	∂0f0	∂0f0	PUNCT
ap-1211	139	48	−∇	−∇	NOUN
ap-1211	139	49	·	·	PUNCT
ap-1211	139	50	(	(	PUNCT
ap-1211	139	51	f−e	f−e	NOUN
ap-1211	139	52	)	)	PUNCT
ap-1211	139	53	=	=	SYM
ap-1211	139	54	κ(f−e	κ(f−e	X
ap-1211	139	55	)	)	PUNCT
ap-1211	139	56	·	·	PUNCT
ap-1211	139	57	b+	b+	X
ap-1211	139	58	e	e	X
ap-1211	139	59	(	(	PUNCT
ap-1211	139	60	j0	j0	PROPN
ap-1211	139	61	+	+	CCONJ
ap-1211	139	62	q	q	PROPN
ap-1211	139	63	e	e	PROPN
ap-1211	139	64	j4	j4	PROPN
ap-1211	139	65	)	)	PUNCT
ap-1211	139	66	,	,	PUNCT
ap-1211	139	67	∂0f0	∂0f0	PUNCT
ap-1211	139	68	−∇	−∇	NOUN
ap-1211	139	69	·	·	PUNCT
ap-1211	139	70	(	(	PUNCT
ap-1211	139	71	f+e	f+e	NUM
ap-1211	139	72	)	)	PUNCT
ap-1211	139	73	=	=	SYM
ap-1211	139	74	κ(f+e	κ(f+e	NOUN
ap-1211	139	75	)	)	PUNCT
ap-1211	139	76	·	·	PUNCT
ap-1211	139	77	b+	b+	X
ap-1211	139	78	e	e	X
ap-1211	139	79	(	(	PUNCT
ap-1211	139	80	j0	j0	PROPN
ap-1211	139	81	−	−	PROPN
ap-1211	139	82	q	q	PROPN
ap-1211	139	83	e	e	PROPN
ap-1211	139	84	j4	j4	PROPN
ap-1211	139	85	)	)	PUNCT
ap-1211	139	86	,	,	PUNCT
ap-1211	139	87	∂0(e+	∂0(e+	VERB
ap-1211	139	88	f)−∇×b−∇f0	f)−∇×b−∇f0	NOUN
ap-1211	139	89	=	=	SYM
ap-1211	139	90	(	(	PUNCT
ap-1211	139	91	31	31	NUM
ap-1211	139	92	)	)	PUNCT
ap-1211	139	93	κ(f0b−	κ(f0b−	VERB
ap-1211	139	94	1	1	NUM
ap-1211	139	95	2	2	NUM
ap-1211	139	96	(	(	PUNCT
ap-1211	139	97	f−e)×	f−e)×	NOUN
ap-1211	139	98	(	(	PUNCT
ap-1211	139	99	f+e	f+e	NUM
ap-1211	139	100	)	)	PUNCT
ap-1211	139	101	)	)	PUNCT
ap-1211	140	1	+	+	CCONJ
ap-1211	140	2	ej	ej	PROPN
ap-1211	140	3	,	,	PUNCT
ap-1211	140	4	∂0(e−	∂0(e−	NOUN
ap-1211	140	5	f)−∇×b+∇f0	f)−∇×b+∇f0	PROPN
ap-1211	140	6	=	=	PUNCT
ap-1211	140	7	κ(f0b−	κ(f0b−	VERB
ap-1211	140	8	1	1	NUM
ap-1211	140	9	2	2	NUM
ap-1211	140	10	(	(	PUNCT
ap-1211	140	11	f−e)×	f−e)×	NOUN
ap-1211	140	12	(	(	PUNCT
ap-1211	140	13	f+e	f+e	NUM
ap-1211	140	14	)	)	PUNCT
ap-1211	140	15	)	)	PUNCT
ap-1211	141	1	+	+	CCONJ
ap-1211	141	2	ej	ej	ADJ
ap-1211	141	3	,	,	PUNCT
ap-1211	141	4	∂0b+∇×	∂0b+∇×	PROPN
ap-1211	141	5	(	(	PUNCT
ap-1211	141	6	e+	e+	X
ap-1211	141	7	f	f	X
ap-1211	141	8	)	)	PUNCT
ap-1211	141	9	=	=	SYM
ap-1211	141	10	0	0	NUM
ap-1211	141	11	,	,	PUNCT
ap-1211	141	12	∂0b+∇×	∂0b+∇×	PUNCT
ap-1211	142	1	(	(	PUNCT
ap-1211	142	2	e−	e−	PROPN
ap-1211	142	3	f	f	X
ap-1211	142	4	)	)	PUNCT
ap-1211	143	1	=	=	AUX
ap-1211	143	2	0,∇	0,∇	X
ap-1211	143	3	·	·	PUNCT
ap-1211	143	4	b	b	X
ap-1211	143	5	=	=	SYM
ap-1211	143	6	0	0	X
ap-1211	143	7	.	.	PUNCT
ap-1211	143	8	defining	define	VERB
ap-1211	143	9	ψ′	ψ′	PROPN
ap-1211	143	10	=	=	SYM
ap-1211	143	11	column(f′,b′,e′	column(f′,b′,e′	PROPN
ap-1211	143	12	,	,	PUNCT
ap-1211	143	13	f	f	PROPN
ap-1211	143	14	′	′	NUM
ap-1211	143	15	0	0	NUM
ap-1211	143	16	)	)	PUNCT
ap-1211	144	1	=	=	VERB
ap-1211	144	2	vψ	vψ	VERB
ap-1211	144	3	we	we	PRON
ap-1211	144	4	obtain	obtain	VERB
ap-1211	144	5	from	from	ADP
ap-1211	144	6	(	(	PUNCT
ap-1211	144	7	20	20	NUM
ap-1211	144	8	)	)	PUNCT
ap-1211	144	9	,	,	PUNCT
ap-1211	144	10	(	(	PUNCT
ap-1211	144	11	23	23	NUM
ap-1211	144	12	):	):	PUNCT
ap-1211	144	13	e+	e+	PUNCT
ap-1211	144	14	f	f	PROPN
ap-1211	144	15	=	=	SYM
ap-1211	144	16	2ε−1f′	2ε−1f′	NUM
ap-1211	144	17	,	,	PUNCT
ap-1211	144	18	b′	b′	NUM
ap-1211	144	19	=	=	SYM
ap-1211	144	20	b	b	NOUN
ap-1211	144	21	,	,	PUNCT
ap-1211	144	22	f−e	f−e	PROPN
ap-1211	144	23	=	=	PUNCT
ap-1211	144	24	εf′	εf′	PROPN
ap-1211	144	25	,	,	PUNCT
ap-1211	145	1	f0	f0	PROPN
ap-1211	145	2	=	=	PUNCT
ap-1211	145	3	f	f	PROPN
ap-1211	146	1	′	′	NOUN
ap-1211	146	2	0	0	NUM
ap-1211	146	3	2ε−1j′4	2ε−1j′4	NUM
ap-1211	146	4	=	=	SYM
ap-1211	146	5	(	(	PUNCT
ap-1211	146	6	q	q	NOUN
ap-1211	146	7	e	e	PROPN
ap-1211	146	8	j4	j4	PROPN
ap-1211	146	9	−	−	PROPN
ap-1211	146	10	j0	j0	PROPN
ap-1211	146	11	)	)	PUNCT
ap-1211	146	12	,	,	PUNCT
ap-1211	146	13	εj′0	εj′0	NOUN
ap-1211	146	14	=	=	PUNCT
ap-1211	146	15	q	q	X
ap-1211	146	16	e	e	PROPN
ap-1211	146	17	j4	j4	PROPN
ap-1211	146	18	+	+	CCONJ
ap-1211	146	19	j0	j0	PROPN
ap-1211	146	20	,	,	PUNCT
ap-1211	146	21	j′	j′	PROPN
ap-1211	146	22	=	=	SYM
ap-1211	146	23	j.	j.	PROPN
ap-1211	146	24	(	(	PUNCT
ap-1211	146	25	32	32	NUM
ap-1211	146	26	)	)	PUNCT
ap-1211	146	27	substituting	substitute	VERB
ap-1211	146	28	(	(	PUNCT
ap-1211	146	29	32	32	NUM
ap-1211	146	30	)	)	PUNCT
ap-1211	146	31	into	into	ADP
ap-1211	146	32	(	(	PUNCT
ap-1211	146	33	31	31	NUM
ap-1211	146	34	)	)	PUNCT
ap-1211	146	35	,	,	PUNCT
ap-1211	146	36	equating	equate	VERB
ap-1211	146	37	terms	term	NOUN
ap-1211	146	38	with	with	ADP
ap-1211	146	39	lowest	low	ADJ
ap-1211	146	40	powers	power	NOUN
ap-1211	146	41	of	of	ADP
ap-1211	146	42	ε	ε	PROPN
ap-1211	146	43	and	and	CCONJ
ap-1211	146	44	taking	take	VERB
ap-1211	146	45	into	into	ADP
ap-1211	146	46	account	account	NOUN
ap-1211	146	47	that	that	SCONJ
ap-1211	146	48	relativistic	relativistic	ADJ
ap-1211	146	49	variable	variable	NOUN
ap-1211	146	50	x0	x0	PROPN
ap-1211	146	51	is	be	AUX
ap-1211	146	52	related	relate	VERB
ap-1211	146	53	to	to	ADP
ap-1211	146	54	non	non	ADJ
ap-1211	146	55	-	-	ADJ
ap-1211	146	56	relativistic	relativistic	ADJ
ap-1211	146	57	time	time	NOUN
ap-1211	146	58	t	t	NOUN
ap-1211	146	59	as	as	ADP
ap-1211	146	60	x0	x0	PROPN
ap-1211	146	61	=	=	PROPN
ap-1211	146	62	ct	ct	PROPN
ap-1211	146	63	=	=	SYM
ap-1211	146	64	ε−1	ε−1	PROPN
ap-1211	146	65	t	t	NOUN
ap-1211	146	66	we	we	PRON
ap-1211	146	67	obtain	obtain	VERB
ap-1211	146	68	the	the	DET
ap-1211	146	69	following	follow	VERB
ap-1211	146	70	system	system	NOUN
ap-1211	146	71	:	:	PUNCT
ap-1211	146	72	∂tf	∂tf	NOUN
ap-1211	146	73	′	′	NOUN
ap-1211	146	74	0	0	NUM
ap-1211	147	1	−∇	−∇	NOUN
ap-1211	147	2	·	·	SYM
ap-1211	147	3	e′	e′	X
ap-1211	147	4	+	+	X
ap-1211	147	5	κb′	κb′	X
ap-1211	147	6	·	·	PUNCT
ap-1211	147	7	e′	e′	X
ap-1211	148	1	=	=	SYM
ap-1211	148	2	ej′0	ej′0	NOUN
ap-1211	148	3	,	,	PUNCT
ap-1211	148	4	∂tf′	∂tf′	NOUN
ap-1211	148	5	+	+	NOUN
ap-1211	148	6	∇×b′	∇×b′	NOUN
ap-1211	148	7	+	+	CCONJ
ap-1211	148	8	κ(f	κ(f	PROPN
ap-1211	148	9	′	′	PROPN
ap-1211	148	10	0b	0b	NOUN
ap-1211	148	11	′	′	NUM
ap-1211	149	1	+	+	CCONJ
ap-1211	149	2	f′	f′	PRON
ap-1211	149	3	×e′	×e′	NOUN
ap-1211	149	4	)	)	PUNCT
ap-1211	149	5	=	=	SYM
ap-1211	149	6	ej′	ej′	X
ap-1211	149	7	,	,	PUNCT
ap-1211	149	8	∇	∇	X
ap-1211	149	9	·	·	PUNCT
ap-1211	149	10	f′	f′	PROPN
ap-1211	149	11	+	+	CCONJ
ap-1211	149	12	κf′	κf′	NUM
ap-1211	149	13	·	·	SYM
ap-1211	149	14	b′	b′	NUM
ap-1211	149	15	=	=	NOUN
ap-1211	149	16	ej′4	ej′4	NOUN
ap-1211	149	17	,	,	PUNCT
ap-1211	149	18	∂tb′	∂tb′	NOUN
ap-1211	149	19	+	+	NOUN
ap-1211	149	20	∇×e′	∇×e′	VERB
ap-1211	149	21	=	=	SYM
ap-1211	149	22	0	0	NUM
ap-1211	149	23	,	,	PUNCT
ap-1211	149	24	∇	∇	X
ap-1211	149	25	·	·	PUNCT
ap-1211	149	26	b′	b′	X
ap-1211	149	27	=	=	SYM
ap-1211	149	28	0	0	NUM
ap-1211	149	29	,	,	PUNCT
ap-1211	149	30	∇×	∇×	NOUN
ap-1211	149	31	f′	f′	ADV
ap-1211	149	32	=	=	SYM
ap-1211	149	33	0	0	NUM
ap-1211	149	34	,	,	PUNCT
ap-1211	149	35	∂tf′	∂tf′	NOUN
ap-1211	149	36	=	=	PUNCT
ap-1211	149	37	∇f	∇f	NOUN
ap-1211	149	38	′	′	NOUN
ap-1211	149	39	0	0	NUM
ap-1211	149	40	.	.	PUNCT
ap-1211	150	1	(	(	PUNCT
ap-1211	150	2	33	33	NUM
ap-1211	150	3	)	)	PUNCT
ap-1211	150	4	system	system	NOUN
ap-1211	150	5	of	of	ADP
ap-1211	150	6	equations	equation	NOUN
ap-1211	150	7	(	(	PUNCT
ap-1211	150	8	33	33	NUM
ap-1211	150	9	)	)	PUNCT
ap-1211	150	10	coincides	coincide	VERB
ap-1211	150	11	with	with	ADP
ap-1211	150	12	the	the	DET
ap-1211	150	13	galilei	galilei	NOUN
ap-1211	150	14	invariant	invariant	ADJ
ap-1211	150	15	system	system	NOUN
ap-1211	150	16	for	for	ADP
ap-1211	150	17	the	the	DET
ap-1211	150	18	indecomposable	indecomposable	ADJ
ap-1211	150	19	ten	ten	NUM
ap-1211	150	20	component	component	NOUN
ap-1211	150	21	field	field	NOUN
ap-1211	150	22	deduced	deduce	VERB
ap-1211	150	23	in	in	ADP
ap-1211	150	24	[	[	X
ap-1211	150	25	3	3	NUM
ap-1211	150	26	]	]	PUNCT
ap-1211	150	27	.	.	PUNCT
ap-1211	151	1	like	like	ADP
ap-1211	151	2	the	the	DET
ap-1211	151	3	corresponding	corresponding	ADJ
ap-1211	151	4	relativistic	relativistic	ADJ
ap-1211	151	5	equations	equation	NOUN
ap-1211	151	6	(	(	PUNCT
ap-1211	151	7	5	5	NUM
ap-1211	151	8	)	)	PUNCT
ap-1211	151	9	,	,	PUNCT
ap-1211	151	10	(	(	PUNCT
ap-1211	151	11	6	6	NUM
ap-1211	151	12	)	)	PUNCT
ap-1211	151	13	,	,	PUNCT
ap-1211	151	14	system	system	NOUN
ap-1211	151	15	(	(	PUNCT
ap-1211	151	16	33	33	NUM
ap-1211	151	17	)	)	PUNCT
ap-1211	151	18	admits	admit	VERB
ap-1211	151	19	a	a	DET
ap-1211	151	20	lagrangian	lagrangian	ADJ
ap-1211	151	21	formulation	formulation	NOUN
ap-1211	151	22	.	.	PUNCT
ap-1211	152	1	the	the	DET
ap-1211	152	2	related	relate	VERB
ap-1211	152	3	lagrangian	lagrangian	NOUN
ap-1211	152	4	can	can	AUX
ap-1211	152	5	be	be	AUX
ap-1211	152	6	obtained	obtain	VERB
ap-1211	152	7	from	from	ADP
ap-1211	152	8	(	(	PUNCT
ap-1211	152	9	3	3	X
ap-1211	152	10	)	)	PUNCT
ap-1211	152	11	using	use	VERB
ap-1211	152	12	the	the	DET
ap-1211	152	13	contraction	contraction	NOUN
ap-1211	152	14	procedure	procedure	NOUN
ap-1211	152	15	and	and	CCONJ
ap-1211	152	16	has	have	VERB
ap-1211	152	17	the	the	DET
ap-1211	152	18	following	follow	VERB
ap-1211	152	19	form	form	NOUN
ap-1211	152	20	l	l	NOUN
ap-1211	152	21	=	=	SYM
ap-1211	152	22	1	1	NUM
ap-1211	152	23	2	2	NUM
ap-1211	152	24	(	(	PUNCT
ap-1211	152	25	f	f	NOUN
ap-1211	152	26	′	′	NOUN
ap-1211	152	27	0	0	NUM
ap-1211	152	28	2	2	NUM
ap-1211	152	29	−b′2)−e′	−b′2)−e′	NUM
ap-1211	152	30	·	·	PUNCT
ap-1211	152	31	f′	f′	PROPN
ap-1211	152	32	+	+	X
ap-1211	152	33	κ(a0b′	κ(a0b′	PROPN
ap-1211	152	34	·	·	PUNCT
ap-1211	152	35	f′	f′	ADV
ap-1211	152	36	−a′	−a′	PROPN
ap-1211	152	37	·	·	PUNCT
ap-1211	152	38	(	(	PUNCT
ap-1211	152	39	b′f	b′f	NOUN
ap-1211	152	40	′	′	NOUN
ap-1211	152	41	0	0	NUM
ap-1211	153	1	+	+	CCONJ
ap-1211	153	2	f	f	NOUN
ap-1211	153	3	′	′	NUM
ap-1211	153	4	×e′))−	×e′))−	INTJ
ap-1211	153	5	(	(	PUNCT
ap-1211	153	6	34	34	NUM
ap-1211	153	7	)	)	PUNCT
ap-1211	153	8	e(a′0j′4	e(a′0j′4	PUNCT
ap-1211	154	1	+	+	ADV
ap-1211	154	2	a′4j′0	a′4j′0	NOUN
ap-1211	154	3	−	−	PROPN
ap-1211	154	4	j′	j′	PROPN
ap-1211	154	5	·	·	PUNCT
ap-1211	154	6	a′	a′	PROPN
ap-1211	154	7	)	)	PUNCT
ap-1211	154	8	.	.	PUNCT
ap-1211	155	1	just	just	ADV
ap-1211	155	2	the	the	DET
ap-1211	155	3	system	system	NOUN
ap-1211	155	4	(	(	PUNCT
ap-1211	155	5	33	33	NUM
ap-1211	155	6	)	)	PUNCT
ap-1211	155	7	and	and	CCONJ
ap-1211	155	8	lagrangian	lagrangian	ADJ
ap-1211	155	9	(	(	PUNCT
ap-1211	155	10	34	34	NUM
ap-1211	155	11	)	)	PUNCT
ap-1211	155	12	represent	represent	VERB
ap-1211	155	13	the	the	DET
ap-1211	155	14	galilean	galilean	PROPN
ap-1211	155	15	limit	limit	NOUN
ap-1211	155	16	of	of	ADP
ap-1211	155	17	the	the	DET
ap-1211	155	18	model	model	NOUN
ap-1211	155	19	discussed	discuss	VERB
ap-1211	155	20	in	in	ADP
ap-1211	155	21	sections	section	NOUN
ap-1211	155	22	4	4	NUM
ap-1211	155	23	and	and	CCONJ
ap-1211	155	24	5	5	NUM
ap-1211	155	25	.	.	X
ap-1211	156	1	exactly	exactly	ADV
ap-1211	156	2	this	this	DET
ap-1211	156	3	lagrangian	lagrangian	ADJ
ap-1211	156	4	was	be	AUX
ap-1211	156	5	found	find	VERB
ap-1211	156	6	in	in	ADP
ap-1211	156	7	[	[	X
ap-1211	156	8	3	3	NUM
ap-1211	156	9	]	]	PUNCT
ap-1211	156	10	starting	start	VERB
ap-1211	156	11	with	with	ADP
ap-1211	156	12	the	the	DET
ap-1211	156	13	galilei	galilei	NOUN
ap-1211	156	14	invariance	invariance	NOUN
ap-1211	156	15	condition	condition	NOUN
ap-1211	156	16	.	.	PUNCT
ap-1211	157	1	99	99	NUM
ap-1211	157	2	acta	acta	PROPN
ap-1211	157	3	polytechnica	polytechnica	PROPN
ap-1211	157	4	vol	vol	NOUN
ap-1211	157	5	.	.	PROPN
ap-1211	158	1	50	50	NUM
ap-1211	158	2	no	no	NOUN
ap-1211	158	3	.	.	PUNCT
ap-1211	159	1	3/2010	3/2010	NUM
ap-1211	159	2	with	with	ADP
ap-1211	159	3	the	the	DET
ap-1211	159	4	additional	additional	ADJ
ap-1211	159	5	galilei	galilei	NOUN
ap-1211	159	6	-	-	PUNCT
ap-1211	159	7	invariant	invariant	ADJ
ap-1211	159	8	constraints	constraint	NOUN
ap-1211	159	9	f′	f′	PROPN
ap-1211	159	10	=	=	SYM
ap-1211	159	11	0	0	NUM
ap-1211	159	12	,	,	PUNCT
ap-1211	159	13	j′4	j′4	NOUN
ap-1211	160	1	=	=	SYM
ap-1211	160	2	0	0	NUM
ap-1211	160	3	,	,	PUNCT
ap-1211	160	4	f	f	PROPN
ap-1211	161	1	′	′	NOUN
ap-1211	161	2	0	0	X
ap-1211	162	1	=	=	NOUN
ap-1211	162	2	p0	p0	NOUN
ap-1211	162	3	=	=	SYM
ap-1211	162	4	const	const	NOUN
ap-1211	162	5	system	system	NOUN
ap-1211	162	6	(	(	PUNCT
ap-1211	162	7	33	33	NUM
ap-1211	162	8	)	)	PUNCT
ap-1211	162	9	is	be	AUX
ap-1211	162	10	reduced	reduce	VERB
ap-1211	162	11	to	to	ADP
ap-1211	162	12	the	the	DET
ap-1211	162	13	form	form	NOUN
ap-1211	162	14	∂b′	∂b′	NOUN
ap-1211	162	15	∂t	∂t	PROPN
ap-1211	163	1	+	+	ADP
ap-1211	163	2	∇×e′	∇×e′	VERB
ap-1211	163	3	=	=	SYM
ap-1211	163	4	0	0	NUM
ap-1211	163	5	,	,	PUNCT
ap-1211	163	6	∇	∇	X
ap-1211	163	7	·	·	PUNCT
ap-1211	163	8	b′	b′	NUM
ap-1211	163	9	=	=	SYM
ap-1211	163	10	0	0	NUM
ap-1211	163	11	,	,	PUNCT
ap-1211	163	12	∇	∇	X
ap-1211	163	13	·	·	SYM
ap-1211	163	14	e′	e′	X
ap-1211	163	15	+	+	X
ap-1211	163	16	κb′	κb′	X
ap-1211	163	17	·	·	PUNCT
ap-1211	163	18	e′	e′	X
ap-1211	164	1	=	=	SYM
ap-1211	164	2	ej′0	ej′0	PROPN
ap-1211	164	3	,	,	PUNCT
ap-1211	164	4	∇×b′	∇×b′	PROPN
ap-1211	164	5	+	+	CCONJ
ap-1211	164	6	κp0b′	κp0b′	PROPN
ap-1211	164	7	=	=	SYM
ap-1211	164	8	ej′.	ej′.	NOUN
ap-1211	164	9	(	(	PUNCT
ap-1211	164	10	35	35	NUM
ap-1211	164	11	)	)	PUNCT
ap-1211	164	12	equations	equation	NOUN
ap-1211	164	13	(	(	PUNCT
ap-1211	164	14	35	35	NUM
ap-1211	164	15	)	)	PUNCT
ap-1211	164	16	represent	represent	VERB
ap-1211	164	17	a	a	DET
ap-1211	164	18	galilei	galilei	NOUN
ap-1211	164	19	-	-	PUNCT
ap-1211	164	20	invariant	invariant	ADJ
ap-1211	164	21	version	version	NOUN
ap-1211	164	22	of	of	ADP
ap-1211	164	23	the	the	DET
ap-1211	164	24	cfj	cfj	NOUN
ap-1211	164	25	model	model	NOUN
ap-1211	164	26	with	with	ADP
ap-1211	164	27	time	time	NOUN
ap-1211	164	28	-	-	PUNCT
ap-1211	164	29	like	like	ADJ
ap-1211	164	30	pμ	pμ	NOUN
ap-1211	164	31	.	.	PUNCT
ap-1211	164	32	7	7	NUM
ap-1211	164	33	exact	exact	ADJ
ap-1211	164	34	solutions	solution	NOUN
ap-1211	164	35	one	one	NUM
ap-1211	164	36	of	of	ADP
ap-1211	164	37	important	important	ADJ
ap-1211	164	38	applications	application	NOUN
ap-1211	164	39	of	of	ADP
ap-1211	164	40	lie	lie	NOUN
ap-1211	164	41	symmetries	symmetry	NOUN
ap-1211	164	42	to	to	ADP
ap-1211	164	43	partial	partial	ADJ
ap-1211	164	44	differential	differential	ADJ
ap-1211	164	45	equations	equation	NOUN
ap-1211	164	46	(	(	PUNCT
ap-1211	164	47	pde	pde	NOUN
ap-1211	164	48	)	)	PUNCT
ap-1211	164	49	is	be	AUX
ap-1211	164	50	connected	connect	VERB
ap-1211	164	51	with	with	ADP
ap-1211	164	52	constructing	construct	VERB
ap-1211	164	53	their	their	PRON
ap-1211	164	54	exact	exact	ADJ
ap-1211	164	55	solutions	solution	NOUN
ap-1211	164	56	.	.	PUNCT
ap-1211	165	1	lie	lie	NOUN
ap-1211	165	2	algorithm	algorithm	NOUN
ap-1211	165	3	for	for	ADP
ap-1211	165	4	constructing	construct	VERB
ap-1211	165	5	exact	exact	ADJ
ap-1211	165	6	solutions	solution	NOUN
ap-1211	165	7	of	of	ADP
ap-1211	165	8	differential	differential	ADJ
ap-1211	165	9	equations	equation	NOUN
ap-1211	165	10	has	have	AUX
ap-1211	165	11	been	be	AUX
ap-1211	165	12	known	know	VERB
ap-1211	165	13	for	for	ADP
ap-1211	165	14	more	more	ADJ
ap-1211	165	15	than	than	ADP
ap-1211	165	16	120	120	NUM
ap-1211	165	17	years	year	NOUN
ap-1211	165	18	,	,	PUNCT
ap-1211	165	19	see	see	VERB
ap-1211	165	20	,	,	PUNCT
ap-1211	165	21	e.g.	e.g.	ADV
ap-1211	165	22	,	,	PUNCT
ap-1211	165	23	[	[	X
ap-1211	165	24	10	10	NUM
ap-1211	165	25	]	]	PUNCT
ap-1211	165	26	.	.	PUNCT
ap-1211	166	1	various	various	ADJ
ap-1211	166	2	applications	application	NOUN
ap-1211	166	3	of	of	ADP
ap-1211	166	4	this	this	DET
ap-1211	166	5	algorithm	algorithm	NOUN
ap-1211	166	6	to	to	ADP
ap-1211	166	7	relativistic	relativistic	ADJ
ap-1211	166	8	systems	system	NOUN
ap-1211	166	9	can	can	AUX
ap-1211	166	10	be	be	AUX
ap-1211	166	11	found	find	VERB
ap-1211	166	12	in	in	ADP
ap-1211	166	13	[	[	X
ap-1211	166	14	16	16	NUM
ap-1211	166	15	]	]	PUNCT
ap-1211	166	16	.	.	PUNCT
ap-1211	167	1	in	in	ADP
ap-1211	167	2	this	this	DET
ap-1211	167	3	section	section	NOUN
ap-1211	167	4	we	we	PRON
ap-1211	167	5	present	present	VERB
ap-1211	167	6	some	some	DET
ap-1211	167	7	group	group	NOUN
ap-1211	167	8	solutions	solution	NOUN
ap-1211	167	9	of	of	ADP
ap-1211	167	10	the	the	DET
ap-1211	167	11	relativistic	relativistic	ADJ
ap-1211	167	12	system	system	NOUN
ap-1211	167	13	(	(	PUNCT
ap-1211	167	14	5)–(7	5)–(7	NOUN
ap-1211	167	15	)	)	PUNCT
ap-1211	167	16	.	.	PUNCT
ap-1211	168	1	since	since	SCONJ
ap-1211	168	2	the	the	DET
ap-1211	168	3	maximal	maximal	ADJ
ap-1211	168	4	lie	lie	NOUN
ap-1211	168	5	symmetry	symmetry	NOUN
ap-1211	168	6	of	of	ADP
ap-1211	168	7	this	this	DET
ap-1211	168	8	system	system	NOUN
ap-1211	168	9	has	have	AUX
ap-1211	168	10	been	be	AUX
ap-1211	168	11	found	find	VERB
ap-1211	168	12	and	and	CCONJ
ap-1211	168	13	presented	present	VERB
ap-1211	168	14	in	in	ADP
ap-1211	168	15	section	section	NOUN
ap-1211	168	16	6	6	NUM
ap-1211	168	17	,	,	PUNCT
ap-1211	168	18	it	it	PRON
ap-1211	168	19	is	be	AUX
ap-1211	168	20	possible	possible	ADJ
ap-1211	168	21	to	to	PART
ap-1211	168	22	find	find	VERB
ap-1211	168	23	its	its	PRON
ap-1211	168	24	exact	exact	ADJ
ap-1211	168	25	solutions	solution	NOUN
ap-1211	168	26	using	use	VERB
ap-1211	168	27	the	the	DET
ap-1211	168	28	following	follow	VERB
ap-1211	168	29	algorithm	algorithm	NOUN
ap-1211	168	30	:	:	PUNCT
ap-1211	168	31	1	1	X
ap-1211	168	32	.	.	PUNCT
ap-1211	168	33	to	to	PART
ap-1211	168	34	find	find	VERB
ap-1211	168	35	all	all	DET
ap-1211	168	36	non	non	ADJ
ap-1211	168	37	-	-	ADJ
ap-1211	168	38	equivalent	equivalent	ADJ
ap-1211	168	39	three	three	NUM
ap-1211	168	40	-	-	PUNCT
ap-1211	168	41	dimensional	dimensional	ADJ
ap-1211	168	42	subalgebras	subalgebra	NOUN
ap-1211	168	43	of	of	ADP
ap-1211	168	44	the	the	DET
ap-1211	168	45	lie	lie	NOUN
ap-1211	168	46	algebra	algebra	NOUN
ap-1211	168	47	of	of	ADP
ap-1211	168	48	group	group	NOUN
ap-1211	168	49	p̃	p̃	PROPN
ap-1211	168	50	(	(	PUNCT
ap-1211	168	51	1	1	NUM
ap-1211	168	52	,	,	PUNCT
ap-1211	168	53	3	3	X
ap-1211	168	54	)	)	PUNCT
ap-1211	168	55	whose	whose	DET
ap-1211	168	56	generators	generator	NOUN
ap-1211	168	57	are	be	AUX
ap-1211	168	58	given	give	VERB
ap-1211	168	59	by	by	ADP
ap-1211	168	60	formulae	formulae	NOUN
ap-1211	168	61	(	(	PUNCT
ap-1211	168	62	17	17	NUM
ap-1211	168	63	)	)	PUNCT
ap-1211	168	64	.	.	PUNCT
ap-1211	169	1	2	2	X
ap-1211	169	2	.	.	PUNCT
ap-1211	169	3	to	to	PART
ap-1211	169	4	find	find	VERB
ap-1211	169	5	invariants	invariant	NOUN
ap-1211	169	6	of	of	ADP
ap-1211	169	7	the	the	DET
ap-1211	169	8	related	relate	VERB
ap-1211	169	9	threeparametric	threeparametric	ADJ
ap-1211	169	10	lie	lie	NOUN
ap-1211	169	11	groups	group	NOUN
ap-1211	169	12	.	.	PUNCT
ap-1211	170	1	3	3	X
ap-1211	170	2	.	.	PUNCT
ap-1211	170	3	to	to	PART
ap-1211	170	4	choose	choose	VERB
ap-1211	170	5	new	new	ADJ
ap-1211	170	6	variables	variable	NOUN
ap-1211	170	7	in	in	ADP
ap-1211	170	8	such	such	DET
ap-1211	170	9	a	a	DET
ap-1211	170	10	way	way	NOUN
ap-1211	170	11	that	that	PRON
ap-1211	170	12	eight	eight	NUM
ap-1211	170	13	of	of	ADP
ap-1211	170	14	them	they	PRON
ap-1211	170	15	coincides	coincide	VERB
ap-1211	170	16	with	with	ADP
ap-1211	170	17	these	these	DET
ap-1211	170	18	invariants	invariant	NOUN
ap-1211	170	19	.	.	PUNCT
ap-1211	171	1	as	as	ADP
ap-1211	171	2	a	a	DET
ap-1211	171	3	result	result	NOUN
ap-1211	171	4	we	we	PRON
ap-1211	171	5	obtain	obtain	VERB
ap-1211	171	6	a	a	DET
ap-1211	171	7	system	system	NOUN
ap-1211	171	8	of	of	ADP
ap-1211	171	9	ordinary	ordinary	ADJ
ap-1211	171	10	differential	differential	ADJ
ap-1211	171	11	equations	equation	NOUN
ap-1211	171	12	.	.	PUNCT
ap-1211	172	1	4	4	X
ap-1211	172	2	.	.	X
ap-1211	172	3	to	to	PART
ap-1211	172	4	solve	solve	VERB
ap-1211	172	5	(	(	PUNCT
ap-1211	172	6	if	if	SCONJ
ap-1211	172	7	possible	possible	ADJ
ap-1211	172	8	)	)	PUNCT
ap-1211	172	9	the	the	DET
ap-1211	172	10	obtained	obtain	VERB
ap-1211	172	11	systems	system	NOUN
ap-1211	172	12	of	of	ADP
ap-1211	172	13	ordinary	ordinary	ADJ
ap-1211	172	14	differential	differential	ADJ
ap-1211	172	15	equations	equation	NOUN
ap-1211	172	16	and	and	CCONJ
ap-1211	172	17	reconstruct	reconstruct	VERB
ap-1211	172	18	the	the	DET
ap-1211	172	19	related	related	ADJ
ap-1211	172	20	solutions	solution	NOUN
ap-1211	172	21	of	of	ADP
ap-1211	172	22	the	the	DET
ap-1211	172	23	incoming	incoming	ADJ
ap-1211	172	24	system	system	NOUN
ap-1211	172	25	.	.	PUNCT
ap-1211	173	1	the	the	DET
ap-1211	173	2	first	first	ADJ
ap-1211	173	3	step	step	NOUN
ap-1211	173	4	of	of	ADP
ap-1211	173	5	the	the	DET
ap-1211	173	6	algorithm	algorithm	NOUN
ap-1211	173	7	is	be	AUX
ap-1211	173	8	reduced	reduce	VERB
ap-1211	173	9	to	to	ADP
ap-1211	173	10	using	use	VERB
ap-1211	173	11	the	the	DET
ap-1211	173	12	classification	classification	NOUN
ap-1211	173	13	results	result	NOUN
ap-1211	173	14	for	for	ADP
ap-1211	173	15	the	the	DET
ap-1211	173	16	subalgebras	subalgebra	NOUN
ap-1211	173	17	of	of	ADP
ap-1211	173	18	algebra	algebra	PROPN
ap-1211	173	19	p	p	X
ap-1211	173	20	(	(	PUNCT
ap-1211	173	21	1	1	NUM
ap-1211	173	22	,	,	PUNCT
ap-1211	173	23	3	3	NUM
ap-1211	173	24	)	)	PUNCT
ap-1211	173	25	,	,	PUNCT
ap-1211	173	26	which	which	PRON
ap-1211	173	27	can	can	AUX
ap-1211	173	28	be	be	AUX
ap-1211	173	29	found	find	VERB
ap-1211	173	30	in	in	ADP
ap-1211	173	31	[	[	X
ap-1211	173	32	17	17	NUM
ap-1211	173	33	]	]	PUNCT
ap-1211	173	34	.	.	PUNCT
ap-1211	174	1	all	all	DET
ap-1211	174	2	the	the	DET
ap-1211	174	3	remaining	remain	VERB
ap-1211	174	4	steps	step	NOUN
ap-1211	174	5	are	be	AUX
ap-1211	174	6	rather	rather	ADV
ap-1211	174	7	cumbersome	cumbersome	ADJ
ap-1211	174	8	but	but	CCONJ
ap-1211	174	9	algorithmic	algorithmic	ADJ
ap-1211	174	10	,	,	PUNCT
ap-1211	174	11	and	and	CCONJ
ap-1211	174	12	it	it	PRON
ap-1211	174	13	is	be	AUX
ap-1211	174	14	possible	possible	ADJ
ap-1211	174	15	to	to	PART
ap-1211	174	16	find	find	VERB
ap-1211	174	17	all	all	DET
ap-1211	174	18	exact	exact	ADJ
ap-1211	174	19	solutions	solution	NOUN
ap-1211	174	20	for	for	ADP
ap-1211	174	21	systems	system	NOUN
ap-1211	174	22	(	(	PUNCT
ap-1211	174	23	5)–(7	5)–(7	NOUN
ap-1211	174	24	)	)	PUNCT
ap-1211	174	25	,	,	PUNCT
ap-1211	174	26	(	(	PUNCT
ap-1211	174	27	12)–(14	12)–(14	NUM
ap-1211	174	28	)	)	PUNCT
ap-1211	174	29	which	which	PRON
ap-1211	174	30	can	can	AUX
ap-1211	174	31	be	be	AUX
ap-1211	174	32	obtained	obtain	VERB
ap-1211	174	33	via	via	ADP
ap-1211	174	34	lie	lie	NOUN
ap-1211	174	35	reduction	reduction	NOUN
ap-1211	174	36	procedure	procedure	NOUN
ap-1211	174	37	.	.	PUNCT
ap-1211	175	1	here	here	ADV
ap-1211	175	2	we	we	PRON
ap-1211	175	3	shall	shall	AUX
ap-1211	175	4	present	present	VERB
ap-1211	175	5	only	only	ADV
ap-1211	175	6	two	two	NUM
ap-1211	175	7	examples	example	NOUN
ap-1211	175	8	of	of	ADP
ap-1211	175	9	such	such	ADJ
ap-1211	175	10	solutions	solution	NOUN
ap-1211	175	11	,	,	PUNCT
ap-1211	175	12	while	while	SCONJ
ap-1211	175	13	the	the	DET
ap-1211	175	14	complete	complete	ADJ
ap-1211	175	15	list	list	NOUN
ap-1211	175	16	of	of	ADP
ap-1211	175	17	them	they	PRON
ap-1211	175	18	can	can	AUX
ap-1211	175	19	be	be	AUX
ap-1211	175	20	found	find	VERB
ap-1211	175	21	in	in	ADP
ap-1211	175	22	[	[	X
ap-1211	175	23	18	18	NUM
ap-1211	175	24	]	]	PUNCT
ap-1211	175	25	.	.	PUNCT
ap-1211	176	1	let	let	VERB
ap-1211	176	2	us	we	PRON
ap-1211	176	3	start	start	VERB
ap-1211	176	4	with	with	ADP
ap-1211	176	5	the	the	DET
ap-1211	176	6	subalgebra	subalgebra	NOUN
ap-1211	176	7	of	of	ADP
ap-1211	176	8	p̃(1	p̃(1	ADJ
ap-1211	176	9	,	,	PUNCT
ap-1211	176	10	3	3	NUM
ap-1211	176	11	)	)	PUNCT
ap-1211	176	12	,	,	PUNCT
ap-1211	176	13	spanned	span	VERB
ap-1211	176	14	on	on	ADP
ap-1211	176	15	the	the	DET
ap-1211	176	16	basis	basis	NOUN
ap-1211	176	17	elements	element	NOUN
ap-1211	176	18	<	<	X
ap-1211	176	19	j12	j12	PROPN
ap-1211	176	20	,	,	PUNCT
ap-1211	176	21	p1	p1	PROPN
ap-1211	176	22	,	,	PUNCT
ap-1211	176	23	p2	p2	PROPN
ap-1211	176	24	>	>	X
ap-1211	176	25	which	which	PRON
ap-1211	176	26	are	be	AUX
ap-1211	176	27	given	give	VERB
ap-1211	176	28	explicitly	explicitly	ADV
ap-1211	176	29	by	by	ADP
ap-1211	176	30	equations	equation	NOUN
ap-1211	176	31	(	(	PUNCT
ap-1211	176	32	17	17	NUM
ap-1211	176	33	)	)	PUNCT
ap-1211	176	34	and	and	CCONJ
ap-1211	176	35	(	(	PUNCT
ap-1211	176	36	18	18	NUM
ap-1211	176	37	)	)	PUNCT
ap-1211	176	38	.	.	PUNCT
ap-1211	177	1	there	there	PRON
ap-1211	177	2	is	be	VERB
ap-1211	177	3	the	the	DET
ap-1211	177	4	only	only	ADJ
ap-1211	177	5	invariant	invariant	NOUN
ap-1211	177	6	of	of	ADP
ap-1211	177	7	the	the	DET
ap-1211	177	8	related	relate	VERB
ap-1211	177	9	group	group	NOUN
ap-1211	177	10	depending	depend	VERB
ap-1211	177	11	on	on	ADP
ap-1211	177	12	x0	x0	PROPN
ap-1211	177	13	,	,	PUNCT
ap-1211	177	14	x1	x1	PROPN
ap-1211	177	15	,	,	PUNCT
ap-1211	177	16	x2	x2	PROPN
ap-1211	177	17	and	and	CCONJ
ap-1211	177	18	x3	x3	ADJ
ap-1211	177	19	,	,	PUNCT
ap-1211	177	20	namely	namely	ADV
ap-1211	177	21	,	,	PUNCT
ap-1211	177	22	ω	ω	PROPN
ap-1211	177	23	=	=	SYM
ap-1211	177	24	x21	x21	PROPN
ap-1211	178	1	+	+	CCONJ
ap-1211	178	2	x22	x22	NOUN
ap-1211	178	3	.	.	PUNCT
ap-1211	179	1	in	in	ADP
ap-1211	179	2	addition	addition	NOUN
ap-1211	179	3	,	,	PUNCT
ap-1211	179	4	there	there	PRON
ap-1211	179	5	are	be	VERB
ap-1211	179	6	seven	seven	NUM
ap-1211	179	7	invariants	invariant	NOUN
ap-1211	179	8	depending	depend	VERB
ap-1211	179	9	on	on	ADP
ap-1211	179	10	both	both	DET
ap-1211	179	11	space	space	NOUN
ap-1211	179	12	-	-	PUNCT
ap-1211	179	13	time	time	NOUN
ap-1211	179	14	and	and	CCONJ
ap-1211	179	15	field	field	NOUN
ap-1211	179	16	variables	variable	NOUN
ap-1211	179	17	,	,	PUNCT
ap-1211	179	18	which	which	PRON
ap-1211	179	19	we	we	PRON
ap-1211	179	20	denote	denote	VERB
ap-1211	179	21	as	as	ADP
ap-1211	179	22	ϕ1	ϕ1	NOUN
ap-1211	179	23	,	,	PUNCT
ap-1211	179	24	ϕ2	ϕ2	ADV
ap-1211	179	25	,	,	PUNCT
ap-1211	179	26	·	·	PUNCT
ap-1211	179	27	·	·	PUNCT
ap-1211	179	28	·	·	PUNCT
ap-1211	179	29	,	,	PUNCT
ap-1211	179	30	ϕ7	ϕ7	PROPN
ap-1211	179	31	.	.	PUNCT
ap-1211	180	1	they	they	PRON
ap-1211	180	2	are	be	AUX
ap-1211	180	3	supposed	suppose	VERB
ap-1211	180	4	to	to	PART
ap-1211	180	5	be	be	AUX
ap-1211	180	6	functions	function	NOUN
ap-1211	180	7	of	of	ADP
ap-1211	180	8	ω	ω	NUM
ap-1211	180	9	such	such	ADJ
ap-1211	180	10	that	that	DET
ap-1211	180	11	b1	b1	NOUN
ap-1211	180	12	=	=	SYM
ap-1211	180	13	ϕ1	ϕ1	NOUN
ap-1211	180	14	cosω	cosω	VERB
ap-1211	180	15	−	−	PROPN
ap-1211	180	16	ϕ3	ϕ3	PROPN
ap-1211	180	17	sinω	sinω	VERB
ap-1211	180	18	,	,	PUNCT
ap-1211	180	19	b2	b2	NOUN
ap-1211	180	20	=	=	PUNCT
ap-1211	180	21	ϕ1	ϕ1	NOUN
ap-1211	180	22	sinω	sinω	VERB
ap-1211	180	23	+	+	CCONJ
ap-1211	180	24	ϕ2	ϕ2	ADV
ap-1211	180	25	cosω	cosω	ADJ
ap-1211	180	26	,	,	PUNCT
ap-1211	180	27	e1	e1	NOUN
ap-1211	180	28	=	=	PUNCT
ap-1211	180	29	ϕ3	ϕ3	PROPN
ap-1211	180	30	cosω	cosω	NOUN
ap-1211	181	1	−	−	PROPN
ap-1211	181	2	ϕ4	ϕ4	NOUN
ap-1211	181	3	sinω	sinω	VERB
ap-1211	181	4	,	,	PUNCT
ap-1211	181	5	e2	e2	PROPN
ap-1211	181	6	=	=	PUNCT
ap-1211	181	7	ϕ3	ϕ3	PROPN
ap-1211	181	8	sinω	sinω	VERB
ap-1211	181	9	+	+	CCONJ
ap-1211	181	10	ϕ4	ϕ4	NOUN
ap-1211	181	11	cosω	cosω	NOUN
ap-1211	181	12	,	,	PUNCT
ap-1211	181	13	b3	b3	PROPN
ap-1211	181	14	=	=	SYM
ap-1211	181	15	ϕ5	ϕ5	PROPN
ap-1211	181	16	,	,	PUNCT
ap-1211	181	17	e3	e3	PROPN
ap-1211	181	18	=	=	SYM
ap-1211	181	19	ϕ6	ϕ6	PROPN
ap-1211	181	20	,	,	PUNCT
ap-1211	181	21	a4	a4	NOUN
ap-1211	181	22	=	=	SYM
ap-1211	181	23	ϕ7	ϕ7	PROPN
ap-1211	181	24	.	.	PUNCT
ap-1211	182	1	(	(	PUNCT
ap-1211	182	2	36	36	NUM
ap-1211	182	3	)	)	PUNCT
ap-1211	182	4	substituting	substituting	NOUN
ap-1211	182	5	(	(	PUNCT
ap-1211	182	6	36	36	NUM
ap-1211	182	7	)	)	PUNCT
ap-1211	182	8	into	into	ADP
ap-1211	182	9	(	(	PUNCT
ap-1211	182	10	5)–(7	5)–(7	NUM
ap-1211	182	11	)	)	PUNCT
ap-1211	182	12	we	we	PRON
ap-1211	182	13	reduce	reduce	VERB
ap-1211	182	14	it	it	PRON
ap-1211	182	15	to	to	ADP
ap-1211	182	16	a	a	DET
ap-1211	182	17	system	system	NOUN
ap-1211	182	18	of	of	ADP
ap-1211	182	19	ordinary	ordinary	ADJ
ap-1211	182	20	differential	differential	ADJ
ap-1211	182	21	equations	equation	NOUN
ap-1211	182	22	which	which	PRON
ap-1211	182	23	appears	appear	VERB
ap-1211	182	24	to	to	PART
ap-1211	182	25	be	be	AUX
ap-1211	182	26	integrable	integrable	ADJ
ap-1211	182	27	.	.	PUNCT
ap-1211	183	1	moreover	moreover	ADV
ap-1211	183	2	,	,	PUNCT
ap-1211	183	3	its	its	PRON
ap-1211	183	4	general	general	ADJ
ap-1211	183	5	solution	solution	NOUN
ap-1211	183	6	depends	depend	VERB
ap-1211	183	7	on	on	ADP
ap-1211	183	8	six	six	NUM
ap-1211	183	9	arbitrary	arbitrary	ADJ
ap-1211	183	10	parameters	parameter	NOUN
ap-1211	183	11	.	.	PUNCT
ap-1211	184	1	a	a	DET
ap-1211	184	2	particular	particular	ADJ
ap-1211	184	3	solution	solution	NOUN
ap-1211	184	4	has	have	VERB
ap-1211	184	5	the	the	DET
ap-1211	184	6	following	follow	VERB
ap-1211	184	7	form	form	NOUN
ap-1211	184	8	:	:	PUNCT
ap-1211	184	9	b1	b1	NOUN
ap-1211	184	10	=	=	SYM
ap-1211	184	11	−c1x2	−c1x2	PROPN
ap-1211	184	12	/	/	SYM
ap-1211	184	13	ω	ω	PROPN
ap-1211	184	14	,	,	PUNCT
ap-1211	184	15	b2	b2	NOUN
ap-1211	184	16	=	=	SYM
ap-1211	184	17	c1x1	c1x1	PROPN
ap-1211	184	18	/	/	SYM
ap-1211	184	19	ω	ω	PROPN
ap-1211	184	20	,	,	PUNCT
ap-1211	184	21	b3	b3	PROPN
ap-1211	184	22	=	=	SYM
ap-1211	184	23	c3a	c3a	X
ap-1211	184	24	4	4	NUM
ap-1211	184	25	,	,	PUNCT
ap-1211	184	26	(	(	PUNCT
ap-1211	184	27	37	37	NUM
ap-1211	184	28	)	)	PUNCT
ap-1211	184	29	e1	e1	NOUN
ap-1211	184	30	=	=	PUNCT
ap-1211	184	31	c2x1	c2x1	PROPN
ap-1211	184	32	/	/	SYM
ap-1211	184	33	ω	ω	PROPN
ap-1211	184	34	,	,	PUNCT
ap-1211	184	35	e2	e2	PROPN
ap-1211	184	36	=	=	SYM
ap-1211	184	37	c2x2	c2x2	PUNCT
ap-1211	184	38	/	/	SYM
ap-1211	184	39	ω	ω	PROPN
ap-1211	184	40	,	,	PUNCT
ap-1211	184	41	e3	e3	PROPN
ap-1211	184	42	=	=	SYM
ap-1211	184	43	c3	c3	PROPN
ap-1211	184	44	,	,	PUNCT
ap-1211	184	45	(	(	PUNCT
ap-1211	184	46	38	38	NUM
ap-1211	184	47	)	)	PUNCT
ap-1211	184	48	f0	f0	PROPN
ap-1211	184	49	=	=	SYM
ap-1211	184	50	f3	f3	PROPN
ap-1211	184	51	=	=	SYM
ap-1211	184	52	0	0	NUM
ap-1211	184	53	,	,	PUNCT
ap-1211	184	54	fα	fα	ADP
ap-1211	184	55	=	=	SYM
ap-1211	184	56	∇αa4	∇αa4	PROPN
ap-1211	184	57	,	,	PUNCT
ap-1211	184	58	α	α	NOUN
ap-1211	184	59	=	=	SYM
ap-1211	184	60	1	1	NUM
ap-1211	184	61	,	,	PUNCT
ap-1211	184	62	2	2	NUM
ap-1211	184	63	(	(	PUNCT
ap-1211	184	64	39	39	NUM
ap-1211	184	65	)	)	PUNCT
ap-1211	184	66	where	where	SCONJ
ap-1211	184	67	a4	a4	NOUN
ap-1211	184	68	=	=	SYM
ap-1211	184	69	c4j0(c3	c4j0(c3	NOUN
ap-1211	184	70	√	√	NUM
ap-1211	184	71	kω	kω	NOUN
ap-1211	184	72	)	)	PUNCT
ap-1211	184	73	+	+	NUM
ap-1211	184	74	c5y0(c3	c5y0(c3	NOUN
ap-1211	184	75	√	√	NUM
ap-1211	184	76	kω	kω	PROPN
ap-1211	184	77	)	)	PUNCT
ap-1211	184	78	,	,	PUNCT
ap-1211	184	79	j0	j0	PROPN
ap-1211	184	80	and	and	CCONJ
ap-1211	184	81	y0	y0	PROPN
ap-1211	184	82	are	be	AUX
ap-1211	184	83	the	the	DET
ap-1211	184	84	bessel	bessel	ADJ
ap-1211	184	85	functions	function	NOUN
ap-1211	184	86	of	of	ADP
ap-1211	184	87	the	the	DET
ap-1211	184	88	first	first	ADJ
ap-1211	184	89	and	and	CCONJ
ap-1211	184	90	second	second	ADJ
ap-1211	184	91	kind	kind	NOUN
ap-1211	184	92	,	,	PUNCT
ap-1211	184	93	respectively	respectively	ADV
ap-1211	184	94	,	,	PUNCT
ap-1211	184	95	c1	c1	PROPN
ap-1211	184	96	,	,	PUNCT
ap-1211	184	97	·	·	PUNCT
ap-1211	184	98	·	·	PUNCT
ap-1211	185	1	·	·	PUNCT
ap-1211	186	1	c5	c5	PROPN
ap-1211	186	2	are	be	AUX
ap-1211	186	3	arbitrary	arbitrary	ADJ
ap-1211	186	4	parameters	parameter	NOUN
ap-1211	186	5	.	.	PUNCT
ap-1211	187	1	it	it	PRON
ap-1211	187	2	is	be	AUX
ap-1211	187	3	interesting	interesting	ADJ
ap-1211	187	4	to	to	PART
ap-1211	187	5	note	note	VERB
ap-1211	187	6	that	that	DET
ap-1211	187	7	functions	function	NOUN
ap-1211	187	8	(	(	PUNCT
ap-1211	187	9	37	37	NUM
ap-1211	187	10	)	)	PUNCT
ap-1211	187	11	and	and	CCONJ
ap-1211	187	12	(	(	PUNCT
ap-1211	187	13	38	38	NUM
ap-1211	187	14	)	)	PUNCT
ap-1211	187	15	also	also	ADV
ap-1211	187	16	solve	solve	VERB
ap-1211	187	17	the	the	DET
ap-1211	187	18	standard	standard	ADJ
ap-1211	187	19	(	(	PUNCT
ap-1211	187	20	linear	linear	ADJ
ap-1211	187	21	)	)	PUNCT
ap-1211	187	22	maxwell	maxwell	PROPN
ap-1211	187	23	equations	equation	NOUN
ap-1211	187	24	with	with	ADP
ap-1211	187	25	bounded	bounded	ADJ
ap-1211	187	26	currents	current	NOUN
ap-1211	187	27	.	.	PUNCT
ap-1211	188	1	namely	namely	ADV
ap-1211	188	2	,	,	PUNCT
ap-1211	188	3	the	the	DET
ap-1211	188	4	electric	electric	ADJ
ap-1211	188	5	field	field	NOUN
ap-1211	188	6	(	(	PUNCT
ap-1211	188	7	38	38	NUM
ap-1211	188	8	)	)	PUNCT
ap-1211	188	9	coincides	coincide	VERB
ap-1211	188	10	with	with	ADP
ap-1211	188	11	the	the	DET
ap-1211	188	12	field	field	NOUN
ap-1211	188	13	of	of	ADP
ap-1211	188	14	an	an	DET
ap-1211	188	15	infinite	infinite	ADJ
ap-1211	188	16	straight	straight	ADJ
ap-1211	188	17	charged	charge	VERB
ap-1211	188	18	line	line	NOUN
ap-1211	188	19	coinciding	coincide	VERB
ap-1211	188	20	with	with	ADP
ap-1211	188	21	the	the	DET
ap-1211	188	22	third	third	ADJ
ap-1211	188	23	coordinate	coordinate	NOUN
ap-1211	188	24	axis	axis	NOUN
ap-1211	188	25	supplemented	supplement	VERB
ap-1211	188	26	by	by	ADP
ap-1211	188	27	the	the	DET
ap-1211	188	28	constant	constant	ADJ
ap-1211	188	29	electric	electric	ADJ
ap-1211	188	30	field	field	NOUN
ap-1211	188	31	e3	e3	NOUN
ap-1211	188	32	=	=	SYM
ap-1211	188	33	c3	c3	PROPN
ap-1211	188	34	.	.	PUNCT
ap-1211	189	1	the	the	DET
ap-1211	189	2	magnetic	magnetic	ADJ
ap-1211	189	3	field	field	NOUN
ap-1211	189	4	(	(	PUNCT
ap-1211	189	5	37	37	NUM
ap-1211	189	6	)	)	PUNCT
ap-1211	189	7	is	be	AUX
ap-1211	189	8	a	a	DET
ap-1211	189	9	superposition	superposition	NOUN
ap-1211	189	10	of	of	ADP
ap-1211	189	11	the	the	DET
ap-1211	189	12	field	field	NOUN
ap-1211	189	13	of	of	ADP
ap-1211	189	14	a	a	DET
ap-1211	189	15	straight	straight	ADJ
ap-1211	189	16	line	line	NOUN
ap-1211	189	17	current	current	NOUN
ap-1211	189	18	directed	direct	VERB
ap-1211	189	19	along	along	ADP
ap-1211	189	20	the	the	DET
ap-1211	189	21	third	third	ADJ
ap-1211	189	22	coordinate	coordinate	NOUN
ap-1211	189	23	axis	axis	NOUN
ap-1211	189	24	and	and	CCONJ
ap-1211	189	25	the	the	DET
ap-1211	189	26	field	field	NOUN
ap-1211	189	27	e3	e3	NOUN
ap-1211	189	28	=	=	PUNCT
ap-1211	189	29	c3a4	c3a4	PROPN
ap-1211	189	30	generated	generate	VERB
ap-1211	189	31	by	by	ADP
ap-1211	189	32	the	the	DET
ap-1211	189	33	current	current	NOUN
ap-1211	189	34	whose	whose	DET
ap-1211	189	35	components	component	NOUN
ap-1211	189	36	are	be	AUX
ap-1211	189	37	j1	j1	NOUN
ap-1211	189	38	=	=	PUNCT
ap-1211	189	39	−	−	PROPN
ap-1211	189	40	x2√	x2√	PROPN
ap-1211	189	41	ω	ω	PROPN
ap-1211	189	42	a′	a′	PROPN
ap-1211	189	43	4	4	NUM
ap-1211	189	44	,	,	PUNCT
ap-1211	189	45	j2	j2	PROPN
ap-1211	189	46	=	=	SYM
ap-1211	189	47	x1√	x1√	PROPN
ap-1211	189	48	ω	ω	PROPN
ap-1211	189	49	a′	a′	PROPN
ap-1211	189	50	4	4	NUM
ap-1211	189	51	,	,	PUNCT
ap-1211	189	52	j3	j3	PROPN
ap-1211	189	53	=	=	SYM
ap-1211	189	54	0	0	PROPN
ap-1211	189	55	,	,	PUNCT
ap-1211	189	56	where	where	SCONJ
ap-1211	189	57	a′	a′	PROPN
ap-1211	189	58	4	4	NUM
ap-1211	189	59	=	=	SYM
ap-1211	189	60	∂a4	∂a4	ADJ
ap-1211	189	61	∂ω	∂ω	ADJ
ap-1211	189	62	.	.	PUNCT
ap-1211	190	1	let	let	VERB
ap-1211	190	2	us	we	PRON
ap-1211	190	3	present	present	VERB
ap-1211	190	4	one	one	NUM
ap-1211	190	5	more	more	ADV
ap-1211	190	6	exact	exact	ADJ
ap-1211	190	7	solution	solution	NOUN
ap-1211	190	8	of	of	ADP
ap-1211	190	9	the	the	DET
ap-1211	190	10	system	system	NOUN
ap-1211	190	11	(	(	PUNCT
ap-1211	190	12	5)–(7	5)–(7	NOUN
ap-1211	190	13	):	):	PUNCT
ap-1211	190	14	b1	b1	NOUN
ap-1211	190	15	=	=	SYM
ap-1211	190	16	c	c	PROPN
ap-1211	190	17	x2	x2	PROPN
ap-1211	190	18	ω3/2	ω3/2	PROPN
ap-1211	190	19	,	,	PUNCT
ap-1211	190	20	b2	b2	NOUN
ap-1211	190	21	=	=	SYM
ap-1211	190	22	c	c	PROPN
ap-1211	190	23	−x1	−x1	PROPN
ap-1211	190	24	ω3/2	ω3/2	PROPN
ap-1211	190	25	,	,	PUNCT
ap-1211	190	26	b3	b3	PROPN
ap-1211	190	27	=	=	SYM
ap-1211	190	28	0	0	NUM
ap-1211	190	29	,	,	PUNCT
ap-1211	190	30	e1	e1	NOUN
ap-1211	190	31	=	=	PUNCT
ap-1211	190	32	c	c	PROPN
ap-1211	190	33	x1	x1	PROPN
ap-1211	190	34	ω3/2	ω3/2	PROPN
ap-1211	190	35	,	,	PUNCT
ap-1211	190	36	e2	e2	PROPN
ap-1211	190	37	=	=	PUNCT
ap-1211	190	38	c	c	PROPN
ap-1211	190	39	x2	x2	PROPN
ap-1211	190	40	ω3/2	ω3/2	PROPN
ap-1211	190	41	,	,	PUNCT
ap-1211	190	42	e3	e3	PROPN
ap-1211	190	43	=	=	SYM
ap-1211	190	44	0	0	NUM
ap-1211	190	45	,	,	PUNCT
ap-1211	190	46	f1	f1	NOUN
ap-1211	190	47	=	=	SYM
ap-1211	190	48	x2	x2	PROPN
ap-1211	190	49	ω	ω	PROPN
ap-1211	190	50	,	,	PUNCT
ap-1211	190	51	f2	f2	PROPN
ap-1211	190	52	=	=	PUNCT
ap-1211	191	1	−	−	PROPN
ap-1211	191	2	x1	x1	PROPN
ap-1211	191	3	ω	ω	PROPN
ap-1211	191	4	,	,	PUNCT
ap-1211	191	5	f3	f3	PROPN
ap-1211	191	6	=	=	SYM
ap-1211	191	7	f0	f0	PROPN
ap-1211	191	8	=	=	SYM
ap-1211	191	9	0	0	PROPN
ap-1211	191	10	,	,	PUNCT
ap-1211	191	11	jμ	jμ	NOUN
ap-1211	191	12	=	=	SYM
ap-1211	191	13	0	0	PROPN
ap-1211	191	14	,	,	PUNCT
ap-1211	191	15	μ	μ	NOUN
ap-1211	191	16	=	=	SYM
ap-1211	191	17	0	0	NUM
ap-1211	191	18	,	,	PUNCT
ap-1211	191	19	·	·	PUNCT
ap-1211	191	20	·	·	PUNCT
ap-1211	191	21	·	·	PUNCT
ap-1211	191	22	,	,	PUNCT
ap-1211	191	23	4	4	X
ap-1211	191	24	.	.	PUNCT
ap-1211	191	25	(	(	PUNCT
ap-1211	191	26	40	40	NUM
ap-1211	191	27	)	)	PUNCT
ap-1211	191	28	in	in	ADP
ap-1211	191	29	contrast	contrast	NOUN
ap-1211	191	30	with	with	ADP
ap-1211	191	31	(	(	PUNCT
ap-1211	191	32	37)–(39	37)–(39	NUM
ap-1211	191	33	)	)	PUNCT
ap-1211	191	34	vectors	vector	NOUN
ap-1211	191	35	b	b	NOUN
ap-1211	191	36	and	and	CCONJ
ap-1211	191	37	e	e	NOUN
ap-1211	191	38	defined	define	VERB
ap-1211	191	39	in	in	ADP
ap-1211	191	40	(	(	PUNCT
ap-1211	191	41	40	40	NUM
ap-1211	191	42	)	)	PUNCT
ap-1211	191	43	do	do	AUX
ap-1211	191	44	not	not	PART
ap-1211	191	45	solve	solve	VERB
ap-1211	191	46	linear	linear	PROPN
ap-1211	191	47	maxwell	maxwell	PROPN
ap-1211	191	48	equations	equation	NOUN
ap-1211	191	49	with	with	ADP
ap-1211	191	50	bounded	bounded	ADJ
ap-1211	191	51	currents	current	NOUN
ap-1211	191	52	.	.	PUNCT
ap-1211	192	1	however	however	ADV
ap-1211	192	2	,	,	PUNCT
ap-1211	192	3	they	they	PRON
ap-1211	192	4	solve	solve	VERB
ap-1211	192	5	the	the	DET
ap-1211	192	6	system	system	NOUN
ap-1211	192	7	of	of	ADP
ap-1211	192	8	nonlinear	nonlinear	ADJ
ap-1211	192	9	equations	equation	NOUN
ap-1211	192	10	(	(	PUNCT
ap-1211	192	11	5)–(7	5)–(7	NUM
ap-1211	192	12	)	)	PUNCT
ap-1211	192	13	for	for	ADP
ap-1211	192	14	ω	ω	PROPN
ap-1211	192	15	>	>	X
ap-1211	192	16	0	0	PROPN
ap-1211	192	17	.	.	PUNCT
ap-1211	193	1	a	a	DET
ap-1211	193	2	complete	complete	ADJ
ap-1211	193	3	set	set	NOUN
ap-1211	193	4	of	of	ADP
ap-1211	193	5	reductions	reduction	NOUN
ap-1211	193	6	and	and	CCONJ
ap-1211	193	7	exact	exact	ADJ
ap-1211	193	8	solutions	solution	NOUN
ap-1211	193	9	for	for	ADP
ap-1211	193	10	equations	equation	NOUN
ap-1211	193	11	(	(	PUNCT
ap-1211	193	12	5)–(7	5)–(7	NOUN
ap-1211	193	13	)	)	PUNCT
ap-1211	193	14	can	can	AUX
ap-1211	193	15	be	be	AUX
ap-1211	193	16	found	find	VERB
ap-1211	193	17	in	in	ADP
ap-1211	193	18	[	[	X
ap-1211	193	19	20	20	NUM
ap-1211	193	20	]	]	PUNCT
ap-1211	193	21	.	.	PUNCT
ap-1211	194	1	8	8	NUM
ap-1211	194	2	conclusion	conclusion	NOUN
ap-1211	194	3	we	we	PRON
ap-1211	194	4	have	have	AUX
ap-1211	194	5	discused	discuse	VERB
ap-1211	194	6	two	two	NUM
ap-1211	194	7	mcs	mcs	NOUN
ap-1211	194	8	models	model	NOUN
ap-1211	194	9	in	in	ADP
ap-1211	194	10	the	the	DET
ap-1211	194	11	(	(	PUNCT
ap-1211	194	12	1	1	NUM
ap-1211	194	13	+	+	CCONJ
ap-1211	194	14	3)dimensional	3)dimensional	NUM
ap-1211	194	15	space	space	NOUN
ap-1211	194	16	-	-	PUNCT
ap-1211	194	17	time	time	NOUN
ap-1211	194	18	.	.	PUNCT
ap-1211	195	1	one	one	NUM
ap-1211	195	2	of	of	ADP
ap-1211	195	3	them	they	PRON
ap-1211	195	4	is	be	AUX
ap-1211	195	5	presented	present	VERB
ap-1211	195	6	in	in	ADP
ap-1211	195	7	sections	section	NOUN
ap-1211	195	8	2	2	NUM
ap-1211	195	9	and	and	CCONJ
ap-1211	195	10	3	3	NUM
ap-1211	195	11	.	.	X
ap-1211	196	1	it	it	PRON
ap-1211	196	2	generalizes	generalize	VERB
ap-1211	196	3	the	the	DET
ap-1211	196	4	axion	axion	PROPN
ap-1211	196	5	electrodynamics	electrodynamic	NOUN
ap-1211	196	6	to	to	ADP
ap-1211	196	7	a	a	DET
ap-1211	196	8	theory	theory	NOUN
ap-1211	196	9	with	with	ADP
ap-1211	196	10	a	a	DET
ap-1211	196	11	five	five	NUM
ap-1211	196	12	-	-	PUNCT
ap-1211	196	13	component	component	NOUN
ap-1211	196	14	current	current	NOUN
ap-1211	196	15	.	.	PUNCT
ap-1211	197	1	the	the	DET
ap-1211	197	2	other	other	ADJ
ap-1211	197	3	model	model	NOUN
ap-1211	197	4	includes	include	VERB
ap-1211	197	5	axion	axion	PROPN
ap-1211	197	6	electrodynamics	electrodynamic	NOUN
ap-1211	197	7	as	as	ADP
ap-1211	197	8	a	a	DET
ap-1211	197	9	limiting	limit	VERB
ap-1211	197	10	case	case	NOUN
ap-1211	197	11	corresponding	correspond	VERB
ap-1211	197	12	to	to	ADP
ap-1211	197	13	a	a	DET
ap-1211	197	14	small	small	ADJ
ap-1211	197	15	coupling	coupling	NOUN
ap-1211	197	16	constant	constant	ADJ
ap-1211	197	17	.	.	PUNCT
ap-1211	198	1	this	this	DET
ap-1211	198	2	model	model	NOUN
ap-1211	198	3	includes	include	VERB
ap-1211	198	4	a	a	DET
ap-1211	198	5	non	non	ADJ
ap-1211	198	6	-	-	ADJ
ap-1211	198	7	linear	linear	ADJ
ap-1211	198	8	version	version	NOUN
ap-1211	198	9	of	of	ADP
ap-1211	198	10	the	the	DET
ap-1211	198	11	bianchi	bianchi	NOUN
ap-1211	198	12	100	100	NUM
ap-1211	198	13	acta	acta	PROPN
ap-1211	198	14	polytechnica	polytechnica	PROPN
ap-1211	198	15	vol	vol	NOUN
ap-1211	198	16	.	.	PROPN
ap-1211	199	1	50	50	NUM
ap-1211	199	2	no	no	NOUN
ap-1211	199	3	.	.	PUNCT
ap-1211	200	1	3/2010	3/2010	NUM
ap-1211	200	2	identity	identity	NOUN
ap-1211	200	3	.	.	PUNCT
ap-1211	201	1	the	the	DET
ap-1211	201	2	other	other	ADJ
ap-1211	201	3	specific	specific	ADJ
ap-1211	201	4	feature	feature	NOUN
ap-1211	201	5	of	of	ADP
ap-1211	201	6	this	this	DET
ap-1211	201	7	model	model	NOUN
ap-1211	201	8	is	be	AUX
ap-1211	201	9	the	the	DET
ap-1211	201	10	existence	existence	NOUN
ap-1211	201	11	of	of	ADP
ap-1211	201	12	two	two	NUM
ap-1211	201	13	conserved	conserved	ADJ
ap-1211	201	14	parts	part	NOUN
ap-1211	201	15	of	of	ADP
ap-1211	201	16	the	the	DET
ap-1211	201	17	energy	energy	NOUN
ap-1211	201	18	density	density	NOUN
ap-1211	201	19	,	,	PUNCT
ap-1211	201	20	one	one	NUM
ap-1211	201	21	of	of	ADP
ap-1211	201	22	which	which	PRON
ap-1211	201	23	corresponds	correspond	VERB
ap-1211	201	24	to	to	ADP
ap-1211	201	25	the	the	DET
ap-1211	201	26	tensor	tensor	NOUN
ap-1211	201	27	of	of	ADP
ap-1211	201	28	the	the	DET
ap-1211	201	29	electromagnetic	electromagnetic	ADJ
ap-1211	201	30	field	field	NOUN
ap-1211	201	31	while	while	SCONJ
ap-1211	201	32	the	the	DET
ap-1211	201	33	other	other	ADJ
ap-1211	201	34	one	one	NOUN
ap-1211	201	35	is	be	AUX
ap-1211	201	36	formed	form	VERB
ap-1211	201	37	by	by	ADP
ap-1211	201	38	the	the	DET
ap-1211	201	39	additional	additional	ADJ
ap-1211	201	40	four	four	NUM
ap-1211	201	41	-	-	PUNCT
ap-1211	201	42	vector	vector	NOUN
ap-1211	201	43	field	field	NOUN
ap-1211	201	44	fμ	fμ	NOUN
ap-1211	201	45	.	.	PUNCT
ap-1211	202	1	in	in	ADP
ap-1211	202	2	contrast	contrast	NOUN
ap-1211	202	3	to	to	ADP
ap-1211	202	4	the	the	DET
ap-1211	202	5	cfj	cfj	PROPN
ap-1211	202	6	model	model	NOUN
ap-1211	202	7	,	,	PUNCT
ap-1211	202	8	our	our	PRON
ap-1211	202	9	models	model	NOUN
ap-1211	202	10	are	be	AUX
ap-1211	202	11	relativistically	relativistically	ADV
ap-1211	202	12	invariant	invariant	ADJ
ap-1211	202	13	and	and	CCONJ
ap-1211	202	14	include	include	VERB
ap-1211	202	15	this	this	DET
ap-1211	202	16	model	model	NOUN
ap-1211	202	17	as	as	ADP
ap-1211	202	18	a	a	DET
ap-1211	202	19	particular	particular	ADJ
ap-1211	202	20	sector	sector	NOUN
ap-1211	202	21	corresponding	correspond	VERB
ap-1211	202	22	to	to	ADP
ap-1211	202	23	constant	constant	ADJ
ap-1211	202	24	solutions	solution	NOUN
ap-1211	202	25	for	for	ADP
ap-1211	202	26	vector	vector	NOUN
ap-1211	202	27	field	field	NOUN
ap-1211	202	28	fμ	fμ	NOUN
ap-1211	202	29	.	.	PUNCT
ap-1211	203	1	both	both	CCONJ
ap-1211	203	2	the	the	DET
ap-1211	203	3	models	model	NOUN
ap-1211	203	4	have	have	VERB
ap-1211	203	5	good	good	ADJ
ap-1211	203	6	nonrelativistic	nonrelativistic	ADJ
ap-1211	203	7	limit	limit	NOUN
ap-1211	203	8	,	,	PUNCT
ap-1211	203	9	coinciding	coincide	VERB
ap-1211	203	10	with	with	ADP
ap-1211	203	11	the	the	DET
ap-1211	203	12	galilei	galilei	NOUN
ap-1211	203	13	invariant	invariant	ADJ
ap-1211	203	14	system	system	NOUN
ap-1211	203	15	discussed	discuss	VERB
ap-1211	203	16	in	in	ADP
ap-1211	203	17	[	[	X
ap-1211	203	18	3	3	NUM
ap-1211	203	19	]	]	PUNCT
ap-1211	203	20	.	.	PUNCT
ap-1211	204	1	to	to	PART
ap-1211	204	2	obtain	obtain	VERB
ap-1211	204	3	this	this	DET
ap-1211	204	4	limit	limit	NOUN
ap-1211	204	5	we	we	PRON
ap-1211	204	6	apply	apply	VERB
ap-1211	204	7	the	the	DET
ap-1211	204	8	inönü-wigner	inönü-wign	ADJ
ap-1211	204	9	contraction	contraction	NOUN
ap-1211	204	10	,	,	PUNCT
ap-1211	204	11	which	which	PRON
ap-1211	204	12	makes	make	VERB
ap-1211	204	13	it	it	PRON
ap-1211	204	14	possible	possible	ADJ
ap-1211	204	15	to	to	PART
ap-1211	204	16	find	find	VERB
ap-1211	204	17	a	a	DET
ap-1211	204	18	galilean	galilean	PROPN
ap-1211	204	19	formulation	formulation	NOUN
ap-1211	204	20	of	of	ADP
ap-1211	204	21	the	the	DET
ap-1211	204	22	cfj	cfj	PROPN
ap-1211	204	23	model	model	NOUN
ap-1211	204	24	.	.	PUNCT
ap-1211	205	1	using	use	VERB
ap-1211	205	2	the	the	DET
ap-1211	205	3	classical	classical	ADJ
ap-1211	205	4	lie	lie	NOUN
ap-1211	205	5	approach	approach	NOUN
ap-1211	205	6	,	,	PUNCT
ap-1211	205	7	we	we	PRON
ap-1211	205	8	find	find	VERB
ap-1211	205	9	continuous	continuous	ADJ
ap-1211	205	10	symmetries	symmetry	NOUN
ap-1211	205	11	of	of	ADP
ap-1211	205	12	our	our	PRON
ap-1211	205	13	models	model	NOUN
ap-1211	205	14	and	and	CCONJ
ap-1211	205	15	construct	construct	VERB
ap-1211	205	16	multiparameter	multiparameter	NOUN
ap-1211	205	17	families	family	NOUN
ap-1211	205	18	of	of	ADP
ap-1211	205	19	their	their	PRON
ap-1211	205	20	exact	exact	ADJ
ap-1211	205	21	solutions	solution	NOUN
ap-1211	205	22	.	.	PUNCT
ap-1211	206	1	two	two	NUM
ap-1211	206	2	of	of	ADP
ap-1211	206	3	these	these	DET
ap-1211	206	4	solutions	solution	NOUN
ap-1211	206	5	are	be	AUX
ap-1211	206	6	presented	present	VERB
ap-1211	206	7	in	in	ADP
ap-1211	206	8	section	section	NOUN
ap-1211	206	9	7	7	NUM
ap-1211	206	10	,	,	PUNCT
ap-1211	206	11	while	while	SCONJ
ap-1211	206	12	the	the	DET
ap-1211	206	13	complete	complete	ADJ
ap-1211	206	14	list	list	NOUN
ap-1211	206	15	of	of	ADP
ap-1211	206	16	group	group	NOUN
ap-1211	206	17	solutions	solution	NOUN
ap-1211	206	18	can	can	AUX
ap-1211	206	19	be	be	AUX
ap-1211	206	20	found	find	VERB
ap-1211	206	21	in	in	ADP
ap-1211	206	22	preprint	preprint	NOUN
ap-1211	206	23	[	[	X
ap-1211	206	24	18	18	NUM
ap-1211	206	25	]	]	PUNCT
ap-1211	206	26	.	.	PUNCT
ap-1211	207	1	note	note	VERB
ap-1211	207	2	that	that	SCONJ
ap-1211	207	3	solutions	solution	NOUN
ap-1211	207	4	(	(	PUNCT
ap-1211	207	5	37)–(39	37)–(39	NUM
ap-1211	207	6	)	)	PUNCT
ap-1211	207	7	and	and	CCONJ
ap-1211	207	8	(	(	PUNCT
ap-1211	207	9	40	40	NUM
ap-1211	207	10	)	)	PUNCT
ap-1211	207	11	give	give	VERB
ap-1211	207	12	rise	rise	NOUN
ap-1211	207	13	to	to	ADP
ap-1211	207	14	new	new	ADJ
ap-1211	207	15	exactly	exactly	ADV
ap-1211	207	16	solvable	solvable	ADJ
ap-1211	207	17	models	model	NOUN
ap-1211	207	18	for	for	ADP
ap-1211	207	19	dirac	dirac	NOUN
ap-1211	207	20	fermions	fermion	NOUN
ap-1211	207	21	.	.	PUNCT
ap-1211	208	1	one	one	NUM
ap-1211	208	2	of	of	ADP
ap-1211	208	3	such	such	ADJ
ap-1211	208	4	models	model	NOUN
ap-1211	208	5	is	be	AUX
ap-1211	208	6	presented	present	VERB
ap-1211	208	7	in	in	ADP
ap-1211	208	8	[	[	X
ap-1211	208	9	19	19	NUM
ap-1211	208	10	]	]	PUNCT
ap-1211	208	11	.	.	PUNCT
ap-1211	209	1	references	reference	NOUN
ap-1211	209	2	[	[	X
ap-1211	209	3	1	1	NUM
ap-1211	209	4	]	]	PUNCT
ap-1211	209	5	snonfeld	snonfeld	NOUN
ap-1211	209	6	,	,	PUNCT
ap-1211	209	7	j.	j.	PROPN
ap-1211	209	8	:	:	PUNCT
ap-1211	209	9	nucl	nucl	PROPN
ap-1211	209	10	.	.	PUNCT
ap-1211	210	1	phys	phy	NOUN
ap-1211	210	2	.	.	PUNCT
ap-1211	210	3	,	,	PUNCT
ap-1211	210	4	b175	b175	PROPN
ap-1211	210	5	157	157	NUM
ap-1211	210	6	,	,	PUNCT
ap-1211	210	7	1991	1991	NUM
ap-1211	210	8	;	;	PUNCT
ap-1211	210	9	deser	deser	NOUN
ap-1211	210	10	,	,	PUNCT
ap-1211	210	11	s.	s.	PROPN
ap-1211	210	12	,	,	PUNCT
ap-1211	210	13	jackiw	jackiw	ADV
ap-1211	210	14	,	,	PUNCT
ap-1211	210	15	r.	r.	PROPN
ap-1211	210	16	,	,	PUNCT
ap-1211	210	17	templeton	templeton	PROPN
ap-1211	210	18	,	,	PUNCT
ap-1211	210	19	s.	s.	PROPN
ap-1211	210	20	:	:	PUNCT
ap-1211	211	1	ann	ann	PROPN
ap-1211	211	2	.	.	PUNCT
ap-1211	211	3	phys	phy	NOUN
ap-1211	211	4	.	.	PUNCT
ap-1211	212	1	140	140	NUM
ap-1211	212	2	372	372	NUM
ap-1211	212	3	,	,	PUNCT
ap-1211	212	4	1982	1982	NUM
ap-1211	212	5	.	.	PUNCT
ap-1211	213	1	[	[	X
ap-1211	213	2	2	2	NUM
ap-1211	213	3	]	]	PUNCT
ap-1211	213	4	carrol	carrol	NOUN
ap-1211	213	5	,	,	PUNCT
ap-1211	213	6	s.	s.	PROPN
ap-1211	213	7	m.	m.	PROPN
ap-1211	213	8	,	,	PUNCT
ap-1211	213	9	field	field	NOUN
ap-1211	213	10	,	,	PUNCT
ap-1211	213	11	j.	j.	PROPN
ap-1211	213	12	b.	b.	PROPN
ap-1211	213	13	,	,	PUNCT
ap-1211	213	14	jackiw	jackiw	ADV
ap-1211	213	15	,	,	PUNCT
ap-1211	213	16	r.	r.	PROPN
ap-1211	213	17	:	:	PUNCT
ap-1211	213	18	phys	phy	NOUN
ap-1211	213	19	.	.	PUNCT
ap-1211	213	20	rev	rev	PROPN
ap-1211	213	21	.	.	PUNCT
ap-1211	214	1	d	d	X
ap-1211	214	2	41	41	NUM
ap-1211	214	3	1231	1231	NUM
ap-1211	214	4	,	,	PUNCT
ap-1211	214	5	1990	1990	NUM
ap-1211	214	6	.	.	PUNCT
ap-1211	215	1	[	[	X
ap-1211	215	2	3	3	NUM
ap-1211	215	3	]	]	PUNCT
ap-1211	215	4	niederle	niederle	NOUN
ap-1211	215	5	,	,	PUNCT
ap-1211	215	6	j.	j.	PROPN
ap-1211	215	7	,	,	PUNCT
ap-1211	215	8	nikitin	nikitin	PROPN
ap-1211	215	9	,	,	PUNCT
ap-1211	215	10	a.	a.	NOUN
ap-1211	215	11	g.	g.	PROPN
ap-1211	215	12	:	:	PUNCT
ap-1211	215	13	j.	j.	PROPN
ap-1211	215	14	phys	phys	PROPN
ap-1211	215	15	.	.	PUNCT
ap-1211	216	1	a	a	DET
ap-1211	216	2	:	:	PUNCT
ap-1211	216	3	mat	mat	NOUN
ap-1211	216	4	.	.	PUNCT
ap-1211	216	5	theor	theor	PROPN
ap-1211	216	6	.	.	PUNCT
ap-1211	217	1	42	42	NUM
ap-1211	217	2	105207	105207	NUM
ap-1211	217	3	,	,	PUNCT
ap-1211	217	4	2009	2009	NUM
ap-1211	217	5	.	.	PUNCT
ap-1211	218	1	[	[	X
ap-1211	218	2	4	4	NUM
ap-1211	218	3	]	]	X
ap-1211	218	4	chern	chern	PROPN
ap-1211	218	5	,	,	PUNCT
ap-1211	218	6	s.	s.	PROPN
ap-1211	218	7	s.	s.	PROPN
ap-1211	218	8	,	,	PUNCT
ap-1211	218	9	simons	simons	PROPN
ap-1211	218	10	,	,	PUNCT
ap-1211	218	11	j.	j.	PROPN
ap-1211	218	12	:	:	PUNCT
ap-1211	218	13	annals	annal	VERB
ap-1211	218	14	math	math	NOUN
ap-1211	218	15	.	.	PUNCT
ap-1211	219	1	99	99	NUM
ap-1211	219	2	48	48	NUM
ap-1211	219	3	,	,	PUNCT
ap-1211	219	4	1974	1974	NUM
ap-1211	219	5	.	.	PUNCT
ap-1211	220	1	[	[	X
ap-1211	220	2	5	5	NUM
ap-1211	220	3	]	]	X
ap-1211	220	4	horvaty	horvaty	NOUN
ap-1211	220	5	,	,	PUNCT
ap-1211	220	6	p.	p.	NOUN
ap-1211	220	7	a.	a.	NOUN
ap-1211	220	8	:	:	PUNCT
ap-1211	221	1	lections	lection	NOUN
ap-1211	221	2	on	on	ADP
ap-1211	221	3	(	(	PUNCT
ap-1211	221	4	abelian	abelian	ADJ
ap-1211	221	5	)	)	PUNCT
ap-1211	221	6	chernsimons	chernsimon	NOUN
ap-1211	221	7	vortices	vortice	VERB
ap-1211	221	8	.	.	PUNCT
ap-1211	222	1	arxiv	arxiv	PROPN
ap-1211	222	2	0704.3220	0704.3220	PROPN
ap-1211	223	1	[	[	X
ap-1211	223	2	6	6	NUM
ap-1211	223	3	]	]	PUNCT
ap-1211	223	4	hariton	hariton	NOUN
ap-1211	223	5	,	,	PUNCT
ap-1211	223	6	a.	a.	PROPN
ap-1211	223	7	j.	j.	PROPN
ap-1211	223	8	,	,	PUNCT
ap-1211	223	9	legnert	legnert	PROPN
ap-1211	223	10	,	,	PUNCT
ap-1211	223	11	r.	r.	PROPN
ap-1211	223	12	:	:	PUNCT
ap-1211	223	13	phys	phy	NOUN
ap-1211	223	14	.	.	PUNCT
ap-1211	224	1	lett	lett	PROPN
ap-1211	224	2	.	.	PUNCT
ap-1211	225	1	a	a	DET
ap-1211	225	2	367	367	NUM
ap-1211	225	3	11	11	NUM
ap-1211	225	4	,	,	PUNCT
ap-1211	225	5	2007	2007	NUM
ap-1211	225	6	.	.	PUNCT
ap-1211	226	1	[	[	X
ap-1211	226	2	7	7	NUM
ap-1211	226	3	]	]	X
ap-1211	226	4	itin	itin	X
ap-1211	226	5	,	,	PUNCT
ap-1211	226	6	ya	ya	PROPN
ap-1211	226	7	.	.	PUNCT
ap-1211	226	8	:	:	PUNCT
ap-1211	227	1	phys	phy	NOUN
ap-1211	227	2	.	.	PUNCT
ap-1211	228	1	rev	rev	PROPN
ap-1211	228	2	.	.	PUNCT
ap-1211	229	1	d	d	PROPN
ap-1211	229	2	70	70	NUM
ap-1211	229	3	025012	025012	NUM
ap-1211	229	4	,	,	PUNCT
ap-1211	229	5	2004	2004	NUM
ap-1211	229	6	;	;	PUNCT
ap-1211	229	7	itin	itin	X
ap-1211	229	8	,	,	PUNCT
ap-1211	229	9	ya	ya	PROPN
ap-1211	229	10	.	.	PUNCT
ap-1211	229	11	:	:	PUNCT
ap-1211	229	12	wave	wave	VERB
ap-1211	229	13	propagation	propagation	NOUN
ap-1211	229	14	in	in	ADP
ap-1211	229	15	axion	axion	PROPN
ap-1211	229	16	electrodynamics	electrodynamic	NOUN
ap-1211	229	17	,	,	PUNCT
ap-1211	229	18	arxiv	arxiv	PROPN
ap-1211	229	19	0706.2991	0706.2991	PROPN
ap-1211	229	20	.	.	PUNCT
ap-1211	230	1	[	[	X
ap-1211	230	2	8	8	NUM
ap-1211	230	3	]	]	X
ap-1211	230	4	obukhov	obukhov	ADJ
ap-1211	230	5	,	,	PUNCT
ap-1211	230	6	y.	y.	PROPN
ap-1211	230	7	n.	n.	PROPN
ap-1211	230	8	,	,	PUNCT
ap-1211	230	9	hehl	hehl	NOUN
ap-1211	230	10	,	,	PUNCT
ap-1211	230	11	f.	f.	PROPN
ap-1211	230	12	w.	w.	PROPN
ap-1211	230	13	:	:	PUNCT
ap-1211	230	14	phys	phy	NOUN
ap-1211	230	15	.	.	PUNCT
ap-1211	231	1	lett	lett	PROPN
ap-1211	231	2	.	.	PUNCT
ap-1211	232	1	b	b	PROPN
ap-1211	232	2	458	458	NUM
ap-1211	232	3	,	,	PUNCT
ap-1211	232	4	466	466	NUM
ap-1211	232	5	,	,	PUNCT
ap-1211	232	6	1999	1999	NUM
ap-1211	232	7	;	;	PUNCT
ap-1211	232	8	obukhov	obukhov	PROPN
ap-1211	232	9	,	,	PUNCT
ap-1211	232	10	y.	y.	PROPN
ap-1211	232	11	n.	n.	PROPN
ap-1211	232	12	,	,	PUNCT
ap-1211	232	13	rubilar	rubilar	NOUN
ap-1211	232	14	,	,	PUNCT
ap-1211	232	15	g.	g.	PROPN
ap-1211	232	16	f.	f.	PROPN
ap-1211	232	17	:	:	PUNCT
ap-1211	232	18	phys	phy	NOUN
ap-1211	232	19	.	.	PUNCT
ap-1211	232	20	rev	rev	PROPN
ap-1211	232	21	.	.	PUNCT
ap-1211	233	1	d	d	PROPN
ap-1211	233	2	66	66	NUM
ap-1211	233	3	,	,	PUNCT
ap-1211	233	4	2002	2002	NUM
ap-1211	233	5	.	.	PUNCT
ap-1211	234	1	[	[	X
ap-1211	234	2	9	9	NUM
ap-1211	234	3	]	]	X
ap-1211	234	4	wilczek	wilczek	NOUN
ap-1211	234	5	,	,	PUNCT
ap-1211	234	6	f.	f.	PROPN
ap-1211	234	7	:	:	PUNCT
ap-1211	234	8	phys	phy	NOUN
ap-1211	234	9	.	.	PUNCT
ap-1211	234	10	rev	rev	PROPN
ap-1211	234	11	.	.	PROPN
ap-1211	234	12	lett	lett	PROPN
ap-1211	234	13	.	.	PUNCT
ap-1211	235	1	58	58	NUM
ap-1211	235	2	,	,	PUNCT
ap-1211	235	3	1799	1799	NUM
ap-1211	235	4	,	,	PUNCT
ap-1211	235	5	1987	1987	NUM
ap-1211	235	6	.	.	PUNCT
ap-1211	236	1	[	[	X
ap-1211	236	2	10	10	NUM
ap-1211	236	3	]	]	X
ap-1211	236	4	olver	olver	ADV
ap-1211	236	5	,	,	PUNCT
ap-1211	236	6	p.	p.	NOUN
ap-1211	236	7	:	:	PUNCT
ap-1211	237	1	application	application	NOUN
ap-1211	237	2	of	of	ADP
ap-1211	237	3	lie	lie	NOUN
ap-1211	237	4	groups	group	NOUN
ap-1211	237	5	to	to	PART
ap-1211	237	6	differential	differential	VERB
ap-1211	237	7	equations	equation	NOUN
ap-1211	237	8	.	.	PUNCT
ap-1211	238	1	springer	springer	NOUN
ap-1211	238	2	-	-	PUNCT
ap-1211	238	3	verlag	verlag	PROPN
ap-1211	238	4	,	,	PUNCT
ap-1211	238	5	n.y	n.y	PROPN
ap-1211	238	6	.	.	PROPN
ap-1211	238	7	,	,	PUNCT
ap-1211	238	8	1986	1986	NUM
ap-1211	238	9	.	.	PUNCT
ap-1211	239	1	[	[	X
ap-1211	239	2	11	11	NUM
ap-1211	239	3	]	]	SYM
ap-1211	239	4	le	le	X
ap-1211	239	5	bellac	bellac	PROPN
ap-1211	239	6	,	,	PUNCT
ap-1211	239	7	m.	m.	NOUN
ap-1211	239	8	,	,	PUNCT
ap-1211	239	9	lévy	lévy	NOUN
ap-1211	239	10	-	-	PUNCT
ap-1211	239	11	leblond	leblond	NOUN
ap-1211	239	12	,	,	PUNCT
ap-1211	239	13	j.-m	j.-m	NOUN
ap-1211	239	14	.	.	PUNCT
ap-1211	239	15	:	:	PUNCT
ap-1211	240	1	nuovo	nuovo	PROPN
ap-1211	240	2	cimento	cimento	PROPN
ap-1211	240	3	b	b	PROPN
ap-1211	240	4	14	14	NUM
ap-1211	240	5	,	,	PUNCT
ap-1211	240	6	217	217	NUM
ap-1211	240	7	,	,	PUNCT
ap-1211	240	8	1973	1973	NUM
ap-1211	240	9	.	.	PUNCT
ap-1211	241	1	[	[	X
ap-1211	241	2	12	12	NUM
ap-1211	241	3	]	]	X
ap-1211	241	4	holland	holland	PROPN
ap-1211	241	5	,	,	PUNCT
ap-1211	241	6	p.	p.	PROPN
ap-1211	241	7	,	,	PUNCT
ap-1211	241	8	brown	brown	PROPN
ap-1211	241	9	,	,	PUNCT
ap-1211	241	10	h.	h.	PROPN
ap-1211	241	11	r.	r.	PROPN
ap-1211	241	12	:	:	PUNCT
ap-1211	241	13	studies	study	NOUN
ap-1211	241	14	in	in	ADP
ap-1211	241	15	history	history	NOUN
ap-1211	241	16	and	and	CCONJ
ap-1211	241	17	philosophy	philosophy	NOUN
ap-1211	241	18	of	of	ADP
ap-1211	241	19	science	science	NOUN
ap-1211	241	20	34	34	NUM
ap-1211	241	21	,	,	PUNCT
ap-1211	241	22	161	161	NUM
ap-1211	241	23	,	,	PUNCT
ap-1211	241	24	2003	2003	NUM
ap-1211	241	25	.	.	PUNCT
ap-1211	242	1	[	[	X
ap-1211	242	2	13	13	NUM
ap-1211	242	3	]	]	SYM
ap-1211	242	4	inönü	inönü	PROPN
ap-1211	242	5	,	,	PUNCT
ap-1211	242	6	e.	e.	PROPN
ap-1211	242	7	,	,	PUNCT
ap-1211	242	8	wigner	wigner	NOUN
ap-1211	242	9	,	,	PUNCT
ap-1211	242	10	e.	e.	PROPN
ap-1211	242	11	p.	p.	PROPN
ap-1211	242	12	:	:	PUNCT
ap-1211	243	1	proc	proc	NOUN
ap-1211	243	2	.	.	PUNCT
ap-1211	244	1	nat	nat	PROPN
ap-1211	244	2	.	.	PUNCT
ap-1211	245	1	acad	acad	PROPN
ap-1211	245	2	.	.	PUNCT
ap-1211	246	1	sci	sci	PROPN
ap-1211	246	2	.	.	PUNCT
ap-1211	247	1	u.s	u.s	PROPN
ap-1211	247	2	.	.	PROPN
ap-1211	247	3	39	39	NUM
ap-1211	247	4	,	,	PUNCT
ap-1211	247	5	510	510	NUM
ap-1211	247	6	,	,	PUNCT
ap-1211	247	7	1953	1953	NUM
ap-1211	247	8	.	.	PUNCT
ap-1211	248	1	[	[	X
ap-1211	248	2	14	14	NUM
ap-1211	248	3	]	]	X
ap-1211	248	4	de	de	X
ap-1211	248	5	montigny	montigny	PROPN
ap-1211	248	6	,	,	PUNCT
ap-1211	248	7	m.	m.	NOUN
ap-1211	248	8	,	,	PUNCT
ap-1211	248	9	niederle	niederle	NOUN
ap-1211	248	10	,	,	PUNCT
ap-1211	248	11	j.	j.	PROPN
ap-1211	248	12	,	,	PUNCT
ap-1211	248	13	nikitin	nikitin	PROPN
ap-1211	248	14	,	,	PUNCT
ap-1211	248	15	a.	a.	NOUN
ap-1211	248	16	g.	g.	PROPN
ap-1211	248	17	:	:	PUNCT
ap-1211	248	18	j.	j.	PROPN
ap-1211	248	19	phys	phys	PROPN
ap-1211	248	20	.	.	PUNCT
ap-1211	249	1	a	a	DET
ap-1211	249	2	:	:	PUNCT
ap-1211	249	3	mat	mat	NOUN
ap-1211	249	4	.	.	PUNCT
ap-1211	249	5	theor	theor	PROPN
ap-1211	249	6	.	.	PROPN
ap-1211	250	1	39	39	NUM
ap-1211	250	2	,	,	PUNCT
ap-1211	250	3	1	1	NUM
ap-1211	250	4	,	,	PUNCT
ap-1211	250	5	2006	2006	NUM
ap-1211	250	6	.	.	PUNCT
ap-1211	251	1	[	[	X
ap-1211	251	2	15	15	NUM
ap-1211	251	3	]	]	X
ap-1211	251	4	niederle	niederle	NOUN
ap-1211	251	5	,	,	PUNCT
ap-1211	251	6	j.	j.	PROPN
ap-1211	251	7	,	,	PUNCT
ap-1211	251	8	nikitin	nikitin	PROPN
ap-1211	251	9	,	,	PUNCT
ap-1211	251	10	a.	a.	NOUN
ap-1211	251	11	g.	g.	NOUN
ap-1211	251	12	:	:	PUNCT
ap-1211	251	13	czech	czech	PROPN
ap-1211	251	14	.	.	PUNCT
ap-1211	252	1	j.	j.	PROPN
ap-1211	252	2	phys	phys	PROPN
ap-1211	252	3	.	.	PUNCT
ap-1211	253	1	56	56	NUM
ap-1211	253	2	,	,	PUNCT
ap-1211	253	3	1243	1243	NUM
ap-1211	253	4	,	,	PUNCT
ap-1211	253	5	2006	2006	NUM
ap-1211	253	6	.	.	PUNCT
ap-1211	254	1	[	[	X
ap-1211	254	2	16	16	NUM
ap-1211	254	3	]	]	PUNCT
ap-1211	254	4	fushchich	fushchich	NOUN
ap-1211	254	5	,	,	PUNCT
ap-1211	254	6	w.	w.	PROPN
ap-1211	254	7	i.	i.	PROPN
ap-1211	254	8	,	,	PUNCT
ap-1211	254	9	nikitin	nikitin	PROPN
ap-1211	254	10	,	,	PUNCT
ap-1211	254	11	a.	a.	NOUN
ap-1211	254	12	g.	g.	NOUN
ap-1211	254	13	:	:	PUNCT
ap-1211	254	14	symmetries	symmetry	NOUN
ap-1211	254	15	of	of	ADP
ap-1211	254	16	equations	equation	NOUN
ap-1211	254	17	of	of	ADP
ap-1211	254	18	quantum	quantum	ADJ
ap-1211	254	19	mechanics	mechanic	NOUN
ap-1211	254	20	.	.	PUNCT
ap-1211	255	1	new	new	PROPN
ap-1211	255	2	york	york	PROPN
ap-1211	255	3	,	,	PUNCT
ap-1211	255	4	allerton	allerton	PROPN
ap-1211	255	5	press	press	PROPN
ap-1211	255	6	,	,	PUNCT
ap-1211	255	7	1994	1994	NUM
ap-1211	255	8	.	.	PUNCT
ap-1211	256	1	[	[	X
ap-1211	256	2	17	17	NUM
ap-1211	256	3	]	]	PUNCT
ap-1211	256	4	fushchich	fushchich	NOUN
ap-1211	256	5	,	,	PUNCT
ap-1211	256	6	w.	w.	PROPN
ap-1211	256	7	i.	i.	PROPN
ap-1211	256	8	,	,	PUNCT
ap-1211	256	9	barannyk	barannyk	PROPN
ap-1211	256	10	,	,	PUNCT
ap-1211	256	11	a.	a.	PROPN
ap-1211	256	12	f.	f.	PROPN
ap-1211	256	13	,	,	PUNCT
ap-1211	256	14	barannyk	barannyk	PROPN
ap-1211	256	15	,	,	PUNCT
ap-1211	256	16	l.	l.	PROPN
ap-1211	256	17	f.	f.	PROPN
ap-1211	256	18	:	:	PUNCT
ap-1211	256	19	subgroup	subgroup	NOUN
ap-1211	256	20	structure	structure	NOUN
ap-1211	256	21	of	of	ADP
ap-1211	256	22	lie	lie	NOUN
ap-1211	256	23	groups	group	NOUN
ap-1211	256	24	.	.	PUNCT
ap-1211	257	1	naukova	naukova	PROPN
ap-1211	257	2	dumka	dumka	PROPN
ap-1211	257	3	,	,	PUNCT
ap-1211	257	4	kiev	kiev	PROPN
ap-1211	257	5	,	,	PUNCT
ap-1211	257	6	1993	1993	NUM
ap-1211	257	7	.	.	PUNCT
ap-1211	258	1	[	[	X
ap-1211	258	2	18	18	NUM
ap-1211	258	3	]	]	X
ap-1211	258	4	kuriksha	kuriksha	PROPN
ap-1211	258	5	,	,	PUNCT
ap-1211	258	6	o.	o.	PROPN
ap-1211	258	7	,	,	PUNCT
ap-1211	258	8	nikitin	nikitin	PROPN
ap-1211	258	9	,	,	PUNCT
ap-1211	258	10	a.	a.	NOUN
ap-1211	258	11	g.	g.	PROPN
ap-1211	258	12	:	:	PUNCT
ap-1211	258	13	arxiv	arxiv	PROPN
ap-1211	258	14	preprint	preprint	PROPN
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ap-1211	258	16	,	,	PUNCT
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ap-1211	258	18	.	.	PUNCT
ap-1211	259	1	[	[	X
ap-1211	259	2	19	19	NUM
ap-1211	259	3	]	]	PUNCT
ap-1211	259	4	ferraro	ferraro	NOUN
ap-1211	259	5	,	,	PUNCT
ap-1211	259	6	e.	e.	PROPN
ap-1211	259	7	,	,	PUNCT
ap-1211	259	8	messina	messina	PROPN
ap-1211	259	9	,	,	PUNCT
ap-1211	259	10	n.	n.	PROPN
ap-1211	259	11	,	,	PUNCT
ap-1211	259	12	nikitin	nikitin	PROPN
ap-1211	259	13	,	,	PUNCT
ap-1211	259	14	a.	a.	NOUN
ap-1211	259	15	g.	g.	NOUN
ap-1211	259	16	:	:	PUNCT
ap-1211	259	17	phys	phy	NOUN
ap-1211	259	18	.	.	PUNCT
ap-1211	259	19	rev	rev	PROPN
ap-1211	259	20	.	.	PUNCT
ap-1211	260	1	a	a	DET
ap-1211	260	2	81	81	NUM
ap-1211	260	3	,	,	PUNCT
ap-1211	260	4	042108	042108	NUM
ap-1211	260	5	,	,	PUNCT
ap-1211	260	6	2010	2010	NUM
ap-1211	260	7	,	,	PUNCT
ap-1211	260	8	arxiv	arxiv	PROPN
ap-1211	260	9	0909.5543	0909.5543	PROPN
ap-1211	260	10	.	.	PUNCT
ap-1211	261	1	[	[	X
ap-1211	261	2	20	20	NUM
ap-1211	261	3	]	]	X
ap-1211	261	4	kuriksha	kuriksha	PROPN
ap-1211	261	5	,	,	PUNCT
ap-1211	261	6	o.	o.	NOUN
ap-1211	261	7	:	:	PUNCT
ap-1211	261	8	group	group	NOUN
ap-1211	261	9	analysis	analysis	NOUN
ap-1211	261	10	of	of	ADP
ap-1211	261	11	(	(	PUNCT
ap-1211	261	12	1	1	NUM
ap-1211	261	13	+	+	NOUN
ap-1211	261	14	3)-dimensional	3)-dimensional	PROPN
ap-1211	261	15	maxwell	maxwell	NOUN
ap-1211	261	16	-	-	PUNCT
ap-1211	261	17	chern	chern	PROPN
ap-1211	261	18	-	-	PUNCT
ap-1211	261	19	simons	simon	NOUN
ap-1211	261	20	models	model	NOUN
ap-1211	261	21	and	and	CCONJ
ap-1211	261	22	their	their	PRON
ap-1211	261	23	exact	exact	ADJ
ap-1211	261	24	solutions	solution	NOUN
ap-1211	261	25	.	.	PUNCT
ap-1211	262	1	arxiv	arxiv	PROPN
ap-1211	262	2	0911.3220	0911.3220	PROPN
ap-1211	262	3	.	.	PUNCT
ap-1211	263	1	j.	j.	PROPN
ap-1211	263	2	niederle	niederle	PROPN
ap-1211	263	3	e	e	PROPN
ap-1211	264	1	-	-	NOUN
ap-1211	264	2	mail	mail	NOUN
ap-1211	264	3	:	:	PUNCT
ap-1211	264	4	niederle@fzu.cz	niederle@fzu.cz	X
ap-1211	264	5	institute	institute	PROPN
ap-1211	264	6	of	of	ADP
ap-1211	264	7	physics	physics	PROPN
ap-1211	264	8	of	of	ADP
ap-1211	264	9	the	the	DET
ap-1211	264	10	academy	academy	PROPN
ap-1211	264	11	of	of	ADP
ap-1211	264	12	sciences	sciences	PROPN
ap-1211	264	13	of	of	ADP
ap-1211	264	14	the	the	DET
ap-1211	264	15	czech	czech	PROPN
ap-1211	264	16	republic	republic	NOUN
ap-1211	264	17	na	na	NOUN
ap-1211	264	18	slovance	slovance	NOUN
ap-1211	264	19	2	2	NUM
ap-1211	264	20	,	,	PUNCT
ap-1211	264	21	182	182	NUM
ap-1211	264	22	21	21	NUM
ap-1211	264	23	prague	prague	NOUN
ap-1211	264	24	,	,	PUNCT
ap-1211	264	25	czech	czech	PROPN
ap-1211	264	26	republic	republic	PROPN
ap-1211	264	27	a.	a.	PROPN
ap-1211	264	28	g.	g.	PROPN
ap-1211	264	29	nikitin	nikitin	PROPN
ap-1211	264	30	e	e	NOUN
ap-1211	264	31	-	-	NOUN
ap-1211	264	32	mail	mail	NOUN
ap-1211	264	33	:	:	PUNCT
ap-1211	264	34	nikitin@imath.kiev.ua	nikitin@imath.kiev.ua	PROPN
ap-1211	264	35	institute	institute	PROPN
ap-1211	264	36	of	of	ADP
ap-1211	264	37	mathematics	mathematics	PROPN
ap-1211	264	38	national	national	PROPN
ap-1211	264	39	academy	academy	PROPN
ap-1211	264	40	of	of	ADP
ap-1211	264	41	sciences	sciences	PROPN
ap-1211	264	42	of	of	ADP
ap-1211	264	43	ukraine	ukraine	PROPN
ap-1211	264	44	3	3	NUM
ap-1211	264	45	tereshchenkivs’ka	tereshchenkivs’ka	PROPN
ap-1211	264	46	street	street	PROPN
ap-1211	264	47	,	,	PUNCT
ap-1211	264	48	kyiv-4	kyiv-4	PROPN
ap-1211	264	49	,	,	PUNCT
ap-1211	264	50	ukraine	ukraine	NOUN
ap-1211	264	51	,	,	PUNCT
ap-1211	264	52	01601	01601	NUM
ap-1211	264	53	o.	o.	PROPN
ap-1211	264	54	kuriksha	kuriksha	PROPN
ap-1211	264	55	institute	institute	PROPN
ap-1211	264	56	of	of	ADP
ap-1211	264	57	mathematics	mathematics	PROPN
ap-1211	264	58	national	national	PROPN
ap-1211	264	59	academy	academy	PROPN
ap-1211	264	60	of	of	ADP
ap-1211	264	61	sciences	sciences	PROPN
ap-1211	264	62	of	of	ADP
ap-1211	264	63	ukraine	ukraine	PROPN
ap-1211	264	64	3	3	NUM
ap-1211	264	65	tereshchenkivs’ka	tereshchenkivs’ka	PROPN
ap-1211	264	66	street	street	PROPN
ap-1211	264	67	,	,	PUNCT
ap-1211	264	68	kyiv-4	kyiv-4	PROPN
ap-1211	264	69	,	,	PUNCT
ap-1211	264	70	ukraine	ukraine	NOUN
ap-1211	264	71	,	,	PUNCT
ap-1211	264	72	01601	01601	NUM
ap-1211	264	73	101	101	NUM