id	sid	tid	token	lemma	pos
ap-1358	1	1	wykresx.eps	wykresx.eps	X
ap-1358	1	2	acta	acta	PROPN
ap-1358	1	3	polytechnica	polytechnica	PROPN
ap-1358	1	4	vol	vol	NOUN
ap-1358	1	5	.	.	PUNCT
ap-1358	2	1	51	51	NUM
ap-1358	2	2	no	no	NOUN
ap-1358	2	3	.	.	PUNCT
ap-1358	3	1	1/2011	1/2011	NUM
ap-1358	3	2	quantized	quantize	VERB
ap-1358	3	3	solitons	soliton	NOUN
ap-1358	3	4	in	in	ADP
ap-1358	3	5	the	the	DET
ap-1358	3	6	extended	extended	ADJ
ap-1358	3	7	skyrme	skyrme	ADJ
ap-1358	3	8	-	-	PUNCT
ap-1358	3	9	faddeev	faddeev	NOUN
ap-1358	3	10	model	model	NOUN
ap-1358	3	11	l.	l.	PROPN
ap-1358	3	12	a.	a.	PROPN
ap-1358	3	13	ferreira	ferreira	PROPN
ap-1358	3	14	,	,	PUNCT
ap-1358	3	15	s.	s.	PROPN
ap-1358	3	16	kato	kato	PROPN
ap-1358	3	17	,	,	PUNCT
ap-1358	3	18	n.	n.	PROPN
ap-1358	3	19	sawado	sawado	PROPN
ap-1358	3	20	,	,	PUNCT
ap-1358	3	21	k.	k.	PROPN
ap-1358	3	22	toda	toda	PROPN
ap-1358	3	23	abstract	abstract	ADJ
ap-1358	3	24	the	the	DET
ap-1358	3	25	construction	construction	NOUN
ap-1358	3	26	of	of	ADP
ap-1358	3	27	axially	axially	ADV
ap-1358	3	28	symmetric	symmetric	ADJ
ap-1358	3	29	soliton	soliton	NOUN
ap-1358	3	30	solutions	solution	NOUN
ap-1358	3	31	with	with	ADP
ap-1358	3	32	non	non	ADJ
ap-1358	3	33	-	-	ADJ
ap-1358	3	34	zero	zero	ADJ
ap-1358	3	35	hopf	hopf	ADJ
ap-1358	3	36	topological	topological	ADJ
ap-1358	3	37	charges	charge	NOUN
ap-1358	3	38	according	accord	VERB
ap-1358	3	39	to	to	ADP
ap-1358	3	40	a	a	DET
ap-1358	3	41	theory	theory	NOUN
ap-1358	3	42	known	know	VERB
ap-1358	3	43	as	as	ADP
ap-1358	3	44	the	the	DET
ap-1358	3	45	extended	extended	ADJ
ap-1358	3	46	skyrme	skyrme	ADJ
ap-1358	3	47	-	-	PUNCT
ap-1358	3	48	faddeev	faddeev	NOUN
ap-1358	3	49	model	model	NOUN
ap-1358	3	50	,	,	PUNCT
ap-1358	3	51	was	be	AUX
ap-1358	3	52	performed	perform	VERB
ap-1358	3	53	in	in	ADP
ap-1358	3	54	[	[	X
ap-1358	3	55	1	1	NUM
ap-1358	3	56	]	]	PUNCT
ap-1358	3	57	.	.	PUNCT
ap-1358	4	1	in	in	ADP
ap-1358	4	2	this	this	DET
ap-1358	4	3	paper	paper	NOUN
ap-1358	4	4	we	we	PRON
ap-1358	4	5	show	show	VERB
ap-1358	4	6	how	how	SCONJ
ap-1358	4	7	masses	masse	NOUN
ap-1358	4	8	of	of	ADP
ap-1358	4	9	glueballs	glueball	NOUN
ap-1358	4	10	are	be	AUX
ap-1358	4	11	predicted	predict	VERB
ap-1358	4	12	within	within	ADP
ap-1358	4	13	this	this	DET
ap-1358	4	14	model	model	NOUN
ap-1358	4	15	.	.	PUNCT
ap-1358	5	1	keywords	keyword	NOUN
ap-1358	5	2	:	:	PUNCT
ap-1358	5	3	integrable	integrable	ADJ
ap-1358	5	4	systems	system	NOUN
ap-1358	5	5	,	,	PUNCT
ap-1358	5	6	solitons	soliton	NOUN
ap-1358	5	7	,	,	PUNCT
ap-1358	5	8	monopoles	monopole	NOUN
ap-1358	5	9	,	,	PUNCT
ap-1358	5	10	instantons	instanton	NOUN
ap-1358	5	11	,	,	PUNCT
ap-1358	5	12	semiclassical	semiclassical	ADJ
ap-1358	5	13	quantizations	quantization	NOUN
ap-1358	5	14	.	.	PUNCT
ap-1358	6	1	we	we	PRON
ap-1358	6	2	construct	construct	VERB
ap-1358	6	3	static	static	ADJ
ap-1358	6	4	soliton	soliton	NOUN
ap-1358	6	5	solutions	solution	NOUN
ap-1358	6	6	carrying	carry	VERB
ap-1358	6	7	nontrivial	nontrivial	ADJ
ap-1358	6	8	hopf	hopf	ADJ
ap-1358	6	9	topological	topological	ADJ
ap-1358	6	10	charges	charge	NOUN
ap-1358	6	11	for	for	ADP
ap-1358	6	12	a	a	DET
ap-1358	6	13	field	field	NOUN
ap-1358	6	14	theory	theory	NOUN
ap-1358	6	15	that	that	PRON
ap-1358	6	16	has	have	AUX
ap-1358	6	17	found	find	VERB
ap-1358	6	18	interesting	interesting	ADJ
ap-1358	6	19	applications	application	NOUN
ap-1358	6	20	in	in	ADP
ap-1358	6	21	many	many	ADJ
ap-1358	6	22	areas	area	NOUN
ap-1358	6	23	of	of	ADP
ap-1358	6	24	physics	physics	NOUN
ap-1358	6	25	.	.	PUNCT
ap-1358	7	1	it	it	PRON
ap-1358	7	2	is	be	AUX
ap-1358	7	3	a	a	DET
ap-1358	7	4	(	(	PUNCT
ap-1358	7	5	3	3	NUM
ap-1358	7	6	+	+	SYM
ap-1358	7	7	1)-dimensional	1)-dimensional	ADJ
ap-1358	7	8	lorentz	lorentz	PROPN
ap-1358	7	9	invariant	invariant	ADJ
ap-1358	7	10	field	field	NOUN
ap-1358	7	11	theory	theory	NOUN
ap-1358	7	12	for	for	ADP
ap-1358	7	13	a	a	DET
ap-1358	7	14	triplet	triplet	NOUN
ap-1358	7	15	of	of	ADP
ap-1358	7	16	scalar	scalar	ADJ
ap-1358	7	17	fields	field	NOUN
ap-1358	7	18	�	�	PROPN
ap-1358	7	19	n	n	CCONJ
ap-1358	7	20	,	,	PUNCT
ap-1358	7	21	living	live	VERB
ap-1358	7	22	on	on	ADP
ap-1358	7	23	the	the	DET
ap-1358	7	24	two	two	NUM
ap-1358	7	25	-	-	PUNCT
ap-1358	7	26	sphere	sphere	NOUN
ap-1358	7	27	s2	s2	PROPN
ap-1358	7	28	,	,	PUNCT
ap-1358	7	29	�	�	NOUN
ap-1358	7	30	n2	n2	NOUN
ap-1358	7	31	=	=	SYM
ap-1358	7	32	1	1	NUM
ap-1358	7	33	,	,	PUNCT
ap-1358	7	34	and	and	CCONJ
ap-1358	7	35	defined	define	VERB
ap-1358	7	36	by	by	ADP
ap-1358	7	37	the	the	DET
ap-1358	7	38	lagrangian	lagrangian	ADJ
ap-1358	7	39	density	density	NOUN
ap-1358	7	40	l	l	NOUN
ap-1358	7	41	=	=	SYM
ap-1358	7	42	m2	m2	PROPN
ap-1358	7	43	∂μ	∂μ	PROPN
ap-1358	7	44	�	�	PROPN
ap-1358	7	45	n	n	PRON
ap-1358	7	46	·	·	PUNCT
ap-1358	8	1	∂μ	∂μ	PROPN
ap-1358	8	2	�	�	PROPN
ap-1358	8	3	n−	n−	PROPN
ap-1358	8	4	1	1	NUM
ap-1358	8	5	e2	e2	PROPN
ap-1358	8	6	(	(	PUNCT
ap-1358	8	7	∂μ	∂μ	PROPN
ap-1358	8	8	�	�	PROPN
ap-1358	8	9	n	n	PROPN
ap-1358	8	10	∧	∧	PROPN
ap-1358	8	11	∂ν	∂ν	PROPN
ap-1358	8	12	�	�	PROPN
ap-1358	8	13	n	n	CCONJ
ap-1358	8	14	)	)	PUNCT
ap-1358	8	15	2	2	NUM
ap-1358	8	16	+	+	CCONJ
ap-1358	8	17	(	(	PUNCT
ap-1358	8	18	1	1	X
ap-1358	8	19	)	)	PUNCT
ap-1358	8	20	β	β	NOUN
ap-1358	8	21	2	2	NUM
ap-1358	8	22	(	(	PUNCT
ap-1358	8	23	∂μ	∂μ	PROPN
ap-1358	8	24	�	�	PROPN
ap-1358	8	25	n	n	PRON
ap-1358	8	26	·	·	PUNCT
ap-1358	8	27	∂μ	∂μ	PROPN
ap-1358	8	28	�	�	PROPN
ap-1358	8	29	n)2	n)2	NOUN
ap-1358	8	30	,	,	PUNCT
ap-1358	8	31	where	where	SCONJ
ap-1358	8	32	the	the	DET
ap-1358	8	33	coupling	coupling	NOUN
ap-1358	8	34	constants	constant	VERB
ap-1358	8	35	e2	e2	PROPN
ap-1358	8	36	and	and	CCONJ
ap-1358	8	37	β	β	X
ap-1358	8	38	are	be	AUX
ap-1358	8	39	dimensionless	dimensionless	NOUN
ap-1358	8	40	,	,	PUNCT
ap-1358	8	41	and	and	CCONJ
ap-1358	8	42	m	m	PROPN
ap-1358	8	43	has	have	VERB
ap-1358	8	44	a	a	DET
ap-1358	8	45	mass	mass	ADJ
ap-1358	8	46	dimension	dimension	NOUN
ap-1358	8	47	.	.	PUNCT
ap-1358	9	1	the	the	DET
ap-1358	9	2	first	first	ADJ
ap-1358	9	3	two	two	NUM
ap-1358	9	4	terms	term	NOUN
ap-1358	9	5	correspond	correspond	VERB
ap-1358	9	6	to	to	ADP
ap-1358	9	7	the	the	DET
ap-1358	9	8	so	so	ADV
ap-1358	9	9	-	-	PUNCT
ap-1358	9	10	called	call	VERB
ap-1358	9	11	skyrme	skyrme	NOUN
ap-1358	9	12	-	-	PUNCT
ap-1358	9	13	faddeev	faddeev	NOUN
ap-1358	9	14	(	(	PUNCT
ap-1358	9	15	sf	sf	NOUN
ap-1358	9	16	)	)	PUNCT
ap-1358	9	17	model	model	NOUN
ap-1358	9	18	[	[	X
ap-1358	9	19	2	2	NUM
ap-1358	9	20	,	,	PUNCT
ap-1358	9	21	3	3	NUM
ap-1358	9	22	,	,	PUNCT
ap-1358	9	23	4	4	NUM
ap-1358	9	24	]	]	PUNCT
ap-1358	9	25	proposed	propose	VERB
ap-1358	9	26	by	by	ADP
ap-1358	9	27	the	the	DET
ap-1358	9	28	following	follow	VERB
ap-1358	9	29	idea	idea	NOUN
ap-1358	9	30	of	of	ADP
ap-1358	9	31	skyrme	skyrme	NOUN
ap-1358	10	1	[	[	X
ap-1358	10	2	5	5	NUM
ap-1358	10	3	]	]	PUNCT
ap-1358	10	4	.	.	PUNCT
ap-1358	11	1	it	it	PRON
ap-1358	11	2	was	be	AUX
ap-1358	11	3	conjectured	conjecture	VERB
ap-1358	11	4	by	by	ADP
ap-1358	11	5	faddeev	faddeev	NOUN
ap-1358	11	6	and	and	CCONJ
ap-1358	11	7	niemi	niemi	PROPN
ap-1358	12	1	[	[	X
ap-1358	12	2	6	6	NUM
ap-1358	12	3	]	]	PUNCT
ap-1358	12	4	that	that	SCONJ
ap-1358	12	5	the	the	DET
ap-1358	12	6	sf	sf	PROPN
ap-1358	12	7	model	model	NOUN
ap-1358	12	8	describes	describe	VERB
ap-1358	12	9	the	the	DET
ap-1358	12	10	low	low	ADJ
ap-1358	12	11	energy	energy	NOUN
ap-1358	12	12	(	(	PUNCT
ap-1358	12	13	strong	strong	ADJ
ap-1358	12	14	coupling	coupling	NOUN
ap-1358	12	15	)	)	PUNCT
ap-1358	12	16	regime	regime	NOUN
ap-1358	12	17	of	of	ADP
ap-1358	12	18	the	the	DET
ap-1358	12	19	pure	pure	ADJ
ap-1358	12	20	su(2	su(2	NOUN
ap-1358	12	21	)	)	PUNCT
ap-1358	12	22	yangmills	yangmill	NOUN
ap-1358	12	23	theory	theory	NOUN
ap-1358	12	24	.	.	PUNCT
ap-1358	13	1	this	this	PRON
ap-1358	13	2	was	be	AUX
ap-1358	13	3	based	base	VERB
ap-1358	13	4	on	on	ADP
ap-1358	13	5	the	the	DET
ap-1358	13	6	so	so	ADV
ap-1358	13	7	-	-	PUNCT
ap-1358	13	8	called	call	VERB
ap-1358	13	9	chofaddeev	chofaddeev	PROPN
ap-1358	13	10	-	-	PUNCT
ap-1358	13	11	niemi	niemi	PROPN
ap-1358	13	12	-	-	PUNCT
ap-1358	13	13	shabanov	shabanov	NOUN
ap-1358	13	14	decomposition	decomposition	NOUN
ap-1358	13	15	[	[	X
ap-1358	13	16	6	6	NUM
ap-1358	13	17	,	,	PUNCT
ap-1358	13	18	7	7	NUM
ap-1358	13	19	,	,	PUNCT
ap-1358	13	20	8	8	NUM
ap-1358	13	21	]	]	PUNCT
ap-1358	13	22	of	of	ADP
ap-1358	13	23	the	the	DET
ap-1358	13	24	su(2	su(2	NOUN
ap-1358	13	25	)	)	PUNCT
ap-1358	13	26	yang	yang	PROPN
ap-1358	13	27	-	-	PUNCT
ap-1358	13	28	mills	mill	NOUN
ap-1358	13	29	field	field	NOUN
ap-1358	13	30	�	�	PROPN
ap-1358	13	31	aμ	aμ	PROPN
ap-1358	13	32	,	,	PUNCT
ap-1358	13	33	where	where	SCONJ
ap-1358	13	34	its	its	PRON
ap-1358	13	35	six	six	NUM
ap-1358	13	36	physical	physical	ADJ
ap-1358	13	37	degrees	degree	NOUN
ap-1358	13	38	of	of	ADP
ap-1358	13	39	freedom	freedom	NOUN
ap-1358	13	40	are	be	AUX
ap-1358	13	41	encoded	encode	VERB
ap-1358	13	42	into	into	ADP
ap-1358	13	43	a	a	DET
ap-1358	13	44	triplet	triplet	NOUN
ap-1358	13	45	of	of	ADP
ap-1358	13	46	scalars	scalar	NOUN
ap-1358	13	47	�	�	PROPN
ap-1358	13	48	n	n	CCONJ
ap-1358	13	49	(	(	PUNCT
ap-1358	13	50	�	�	NOUN
ap-1358	13	51	n2	n2	NOUN
ap-1358	13	52	=	=	NOUN
ap-1358	13	53	1	1	NUM
ap-1358	13	54	)	)	PUNCT
ap-1358	13	55	,	,	PUNCT
ap-1358	13	56	a	a	DET
ap-1358	13	57	massless	massless	NOUN
ap-1358	13	58	u(1	u(1	NOUN
ap-1358	13	59	)	)	PUNCT
ap-1358	13	60	gauge	gauge	NOUN
ap-1358	13	61	field	field	NOUN
ap-1358	13	62	,	,	PUNCT
ap-1358	13	63	and	and	CCONJ
ap-1358	13	64	two	two	NUM
ap-1358	13	65	real	real	ADJ
ap-1358	13	66	scalar	scalar	ADJ
ap-1358	13	67	fields	field	NOUN
ap-1358	13	68	.	.	PUNCT
ap-1358	14	1	gies	gy	NOUN
ap-1358	14	2	has	have	AUX
ap-1358	14	3	computed	compute	VERB
ap-1358	14	4	the	the	DET
ap-1358	14	5	one	one	NUM
ap-1358	14	6	-	-	PUNCT
ap-1358	14	7	loop	loop	NOUN
ap-1358	14	8	wilsonian	wilsonian	ADJ
ap-1358	14	9	effective	effective	ADJ
ap-1358	14	10	action	action	NOUN
ap-1358	14	11	for	for	ADP
ap-1358	14	12	the	the	DET
ap-1358	14	13	su(2	su(2	NOUN
ap-1358	14	14	)	)	PUNCT
ap-1358	14	15	yang	yang	PROPN
ap-1358	14	16	-	-	PUNCT
ap-1358	14	17	mills	mill	NOUN
ap-1358	14	18	theory	theory	NOUN
ap-1358	14	19	and	and	CCONJ
ap-1358	14	20	has	have	AUX
ap-1358	14	21	found	find	VERB
ap-1358	14	22	agreements	agreement	NOUN
ap-1358	14	23	with	with	ADP
ap-1358	14	24	the	the	DET
ap-1358	14	25	conjecture	conjecture	NOUN
ap-1358	14	26	,	,	PUNCT
ap-1358	14	27	which	which	PRON
ap-1358	14	28	is	be	AUX
ap-1358	14	29	provided	provide	VERB
ap-1358	14	30	that	that	SCONJ
ap-1358	14	31	the	the	DET
ap-1358	14	32	sf	sf	PROPN
ap-1358	14	33	model	model	NOUN
ap-1358	14	34	is	be	AUX
ap-1358	14	35	modified	modify	VERB
ap-1358	14	36	by	by	ADP
ap-1358	14	37	additional	additional	ADJ
ap-1358	14	38	quartic	quartic	ADJ
ap-1358	14	39	terms	term	NOUN
ap-1358	14	40	in	in	ADP
ap-1358	14	41	derivatives	derivative	NOUN
ap-1358	14	42	of	of	ADP
ap-1358	14	43	the	the	DET
ap-1358	14	44	�	�	PROPN
ap-1358	14	45	n	n	NOUN
ap-1358	14	46	field	field	NOUN
ap-1358	15	1	[	[	X
ap-1358	15	2	9	9	NUM
ap-1358	15	3	]	]	PUNCT
ap-1358	15	4	.	.	PUNCT
ap-1358	16	1	one	one	PRON
ap-1358	16	2	can	can	AUX
ap-1358	16	3	now	now	ADV
ap-1358	16	4	stereographically	stereographically	ADV
ap-1358	16	5	project	project	VERB
ap-1358	16	6	s2	s2	NOUN
ap-1358	16	7	on	on	ADP
ap-1358	16	8	a	a	DET
ap-1358	16	9	plane	plane	NOUN
ap-1358	16	10	and	and	CCONJ
ap-1358	16	11	work	work	VERB
ap-1358	16	12	with	with	ADP
ap-1358	16	13	a	a	DET
ap-1358	16	14	complex	complex	ADJ
ap-1358	16	15	scalar	scalar	ADJ
ap-1358	16	16	field	field	NOUN
ap-1358	16	17	u	u	NOUN
ap-1358	16	18	related	relate	VERB
ap-1358	16	19	to	to	ADP
ap-1358	16	20	the	the	DET
ap-1358	16	21	triplet	triplet	NOUN
ap-1358	16	22	�	�	NOUN
ap-1358	16	23	n	n	PART
ap-1358	16	24	by	by	ADP
ap-1358	16	25	�	�	PROPN
ap-1358	16	26	n	n	NOUN
ap-1358	16	27	=	=	SYM
ap-1358	16	28	1	1	NUM
ap-1358	16	29	1	1	NUM
ap-1358	16	30	+	+	CCONJ
ap-1358	16	31	|	|	ADV
ap-1358	16	32	u	u	NOUN
ap-1358	16	33	|2	|2	NUM
ap-1358	16	34	(	(	PUNCT
ap-1358	16	35	u+	u+	NUM
ap-1358	16	36	u∗,−i(u−	u∗,−i(u−	PROPN
ap-1358	16	37	u∗	u∗	NOUN
ap-1358	16	38	)	)	PUNCT
ap-1358	16	39	,	,	PUNCT
ap-1358	16	40	|	|	ADV
ap-1358	16	41	u	u	NOUN
ap-1358	16	42	|2	|2	NUM
ap-1358	16	43	−	−	NUM
ap-1358	16	44	1	1	NUM
ap-1358	16	45	)	)	PUNCT
ap-1358	16	46	.	.	PUNCT
ap-1358	17	1	(	(	PUNCT
ap-1358	17	2	2	2	X
ap-1358	17	3	)	)	PUNCT
ap-1358	17	4	the	the	DET
ap-1358	17	5	static	static	ADJ
ap-1358	17	6	hamiltonian	hamiltonian	NOUN
ap-1358	17	7	associated	associate	VERB
ap-1358	17	8	to	to	ADP
ap-1358	17	9	(	(	PUNCT
ap-1358	17	10	1	1	X
ap-1358	17	11	)	)	PUNCT
ap-1358	17	12	is	be	AUX
ap-1358	17	13	hstatic	hstatic	ADJ
ap-1358	17	14	=	=	ADJ
ap-1358	17	15	4m2	4m2	NUM
ap-1358	17	16	∂iu	∂iu	PROPN
ap-1358	17	17	∂iu	∂iu	PROPN
ap-1358	17	18	∗	∗	NOUN
ap-1358	17	19	(	(	PUNCT
ap-1358	17	20	1	1	NUM
ap-1358	17	21	+	+	CCONJ
ap-1358	17	22	|	|	ADV
ap-1358	17	23	u	u	NOUN
ap-1358	17	24	|2)2	|2)2	NOUN
ap-1358	17	25	−	−	PROPN
ap-1358	17	26	8	8	NUM
ap-1358	17	27	e2	e2	NOUN
ap-1358	17	28	[	[	PUNCT
ap-1358	17	29	(	(	PUNCT
ap-1358	17	30	∂iu)2(∂ju	∂iu)2(∂ju	NOUN
ap-1358	17	31	∗)2	∗)2	ADJ
ap-1358	17	32	(	(	PUNCT
ap-1358	17	33	1	1	X
ap-1358	17	34	+	+	CCONJ
ap-1358	17	35	|	|	ADV
ap-1358	17	36	u	u	X
ap-1358	17	37	|2)4	|2)4	ADJ
ap-1358	17	38	+	+	CCONJ
ap-1358	17	39	(	(	PUNCT
ap-1358	17	40	β	β	X
ap-1358	17	41	e2	e2	NOUN
ap-1358	17	42	−	−	PROPN
ap-1358	17	43	1	1	NUM
ap-1358	17	44	)	)	PUNCT
ap-1358	17	45	(	(	PUNCT
ap-1358	17	46	∂iu	∂iu	PROPN
ap-1358	17	47	∂iu	∂iu	VERB
ap-1358	17	48	∗)2	∗)2	PROPN
ap-1358	17	49	(	(	PUNCT
ap-1358	17	50	1	1	X
ap-1358	17	51	+	+	CCONJ
ap-1358	18	1	|	|	ADV
ap-1358	18	2	u	u	X
ap-1358	18	3	|2)4	|2)4	ADJ
ap-1358	18	4	]	]	PUNCT
ap-1358	18	5	.	.	PUNCT
ap-1358	19	1	(	(	PUNCT
ap-1358	19	2	3	3	X
ap-1358	19	3	)	)	PUNCT
ap-1358	19	4	therefore	therefore	ADV
ap-1358	19	5	,	,	PUNCT
ap-1358	19	6	it	it	PRON
ap-1358	19	7	is	be	AUX
ap-1358	19	8	positive	positive	ADJ
ap-1358	19	9	definite	definite	ADJ
ap-1358	19	10	for	for	ADP
ap-1358	19	11	m2	m2	PROPN
ap-1358	19	12	>	>	X
ap-1358	19	13	0	0	PROPN
ap-1358	19	14	,	,	PUNCT
ap-1358	19	15	e2	e2	NOUN
ap-1358	19	16	<	<	X
ap-1358	19	17	0	0	PROPN
ap-1358	19	18	,	,	PUNCT
ap-1358	19	19	β	β	X
ap-1358	19	20	<	<	X
ap-1358	19	21	0	0	PROPN
ap-1358	19	22	,	,	PUNCT
ap-1358	19	23	βe2	βe2	X
ap-1358	19	24	≥	≥	NUM
ap-1358	20	1	1	1	NUM
ap-1358	20	2	.	.	PUNCT
ap-1358	21	1	the	the	DET
ap-1358	21	2	euler	euler	PROPN
ap-1358	21	3	-	-	PUNCT
ap-1358	21	4	lagrange	lagrange	NOUN
ap-1358	21	5	equations	equation	NOUN
ap-1358	21	6	from	from	ADP
ap-1358	21	7	(	(	PUNCT
ap-1358	21	8	1	1	X
ap-1358	21	9	)	)	PUNCT
ap-1358	21	10	read	read	NOUN
ap-1358	21	11	(	(	PUNCT
ap-1358	21	12	1	1	NUM
ap-1358	21	13	+	+	CCONJ
ap-1358	21	14	|	|	ADV
ap-1358	21	15	u	u	NOUN
ap-1358	21	16	|2	|2	NUM
ap-1358	21	17	)	)	PUNCT
ap-1358	21	18	∂μkμ	∂μkμ	PUNCT
ap-1358	21	19	−	−	PROPN
ap-1358	21	20	2	2	NUM
ap-1358	21	21	u∗kμ	u∗kμ	PROPN
ap-1358	21	22	∂μu	∂μu	PROPN
ap-1358	21	23	=	=	SYM
ap-1358	21	24	0	0	NUM
ap-1358	21	25	,	,	PUNCT
ap-1358	21	26	(	(	PUNCT
ap-1358	21	27	4	4	NUM
ap-1358	21	28	)	)	PUNCT
ap-1358	21	29	together	together	ADV
ap-1358	21	30	with	with	ADP
ap-1358	21	31	its	its	PRON
ap-1358	21	32	complex	complex	ADJ
ap-1358	21	33	conjugate	conjugate	NOUN
ap-1358	21	34	,	,	PUNCT
ap-1358	21	35	where	where	SCONJ
ap-1358	21	36	kμ	kμ	ADV
ap-1358	21	37	:	:	PUNCT
ap-1358	21	38	=	=	NUM
ap-1358	21	39	m2	m2	PROPN
ap-1358	21	40	∂μu+	∂μu+	X
ap-1358	21	41	(	(	PUNCT
ap-1358	21	42	5	5	NUM
ap-1358	21	43	)	)	PUNCT
ap-1358	21	44	4	4	NUM
ap-1358	21	45	e2	e2	NOUN
ap-1358	21	46	[	[	PUNCT
ap-1358	21	47	(	(	PUNCT
ap-1358	21	48	β	β	X
ap-1358	21	49	e2	e2	NOUN
ap-1358	21	50	−	−	PROPN
ap-1358	21	51	1	1	NUM
ap-1358	21	52	)	)	PUNCT
ap-1358	21	53	(	(	PUNCT
ap-1358	21	54	∂νu	∂νu	PROPN
ap-1358	21	55	∂νu∗	∂νu∗	PROPN
ap-1358	21	56	)	)	PUNCT
ap-1358	21	57	∂μu+	∂μu+	VERB
ap-1358	21	58	(	(	PUNCT
ap-1358	21	59	∂νu∂νu)∂μu∗	∂νu∂νu)∂μu∗	PROPN
ap-1358	21	60	]	]	X
ap-1358	21	61	(	(	PUNCT
ap-1358	21	62	1	1	X
ap-1358	21	63	+	+	CCONJ
ap-1358	21	64	|	|	ADV
ap-1358	21	65	u	u	NOUN
ap-1358	21	66	|2)2	|2)2	NOUN
ap-1358	21	67	.	.	PUNCT
ap-1358	22	1	we	we	PRON
ap-1358	22	2	choose	choose	VERB
ap-1358	22	3	to	to	PART
ap-1358	22	4	use	use	VERB
ap-1358	22	5	the	the	DET
ap-1358	22	6	toroidal	toroidal	ADJ
ap-1358	22	7	coordinates	coordinate	NOUN
ap-1358	22	8	defined	define	VERB
ap-1358	22	9	as	as	ADP
ap-1358	22	10	x1	x1	PROPN
ap-1358	22	11	=	=	SYM
ap-1358	22	12	r0	r0	NOUN
ap-1358	22	13	p	p	NOUN
ap-1358	22	14	√	√	PROPN
ap-1358	22	15	z	z	NOUN
ap-1358	22	16	cosϕ	cosϕ	NOUN
ap-1358	22	17	,	,	PUNCT
ap-1358	22	18	x2	x2	NOUN
ap-1358	22	19	=	=	PUNCT
ap-1358	22	20	r0	r0	NOUN
ap-1358	22	21	p	p	NOUN
ap-1358	22	22	√	√	PROPN
ap-1358	22	23	z	z	NOUN
ap-1358	22	24	sinϕ	sinϕ	NOUN
ap-1358	22	25	,	,	PUNCT
ap-1358	22	26	(	(	PUNCT
ap-1358	22	27	6	6	NUM
ap-1358	22	28	)	)	PUNCT
ap-1358	23	1	x3	x3	NOUN
ap-1358	23	2	=	=	SYM
ap-1358	23	3	r0	r0	NOUN
ap-1358	23	4	p	p	NOUN
ap-1358	23	5	√	√	PROPN
ap-1358	23	6	1−	1−	NUM
ap-1358	23	7	z	z	NOUN
ap-1358	23	8	sin	sin	NOUN
ap-1358	23	9	ξ	ξ	PROPN
ap-1358	23	10	,	,	PUNCT
ap-1358	23	11	where	where	SCONJ
ap-1358	23	12	p	p	NOUN
ap-1358	23	13	=	=	NOUN
ap-1358	23	14	1	1	NUM
ap-1358	23	15	−	−	PROPN
ap-1358	23	16	cos	cos	PROPN
ap-1358	23	17	ξ	ξ	PROPN
ap-1358	23	18	√	√	PROPN
ap-1358	23	19	1−	1−	NUM
ap-1358	23	20	z	z	NOUN
ap-1358	23	21	,	,	PUNCT
ap-1358	23	22	xi	xi	X
ap-1358	23	23	(	(	PUNCT
ap-1358	23	24	i	i	NOUN
ap-1358	23	25	=	=	NOUN
ap-1358	23	26	1	1	NUM
ap-1358	23	27	,	,	PUNCT
ap-1358	23	28	2	2	NUM
ap-1358	23	29	,	,	PUNCT
ap-1358	23	30	3	3	NUM
ap-1358	23	31	)	)	PUNCT
ap-1358	23	32	are	be	AUX
ap-1358	23	33	the	the	DET
ap-1358	23	34	cartesian	cartesian	ADJ
ap-1358	23	35	coordinates	coordinate	NOUN
ap-1358	23	36	in	in	ADP
ap-1358	23	37	r	r	NOUN
ap-1358	23	38	3	3	NUM
ap-1358	23	39	,	,	PUNCT
ap-1358	23	40	and	and	CCONJ
ap-1358	23	41	(	(	PUNCT
ap-1358	23	42	z	z	NOUN
ap-1358	23	43	,	,	PUNCT
ap-1358	23	44	ξ	ξ	PROPN
ap-1358	23	45	,	,	PUNCT
ap-1358	23	46	ϕ	ϕ	NOUN
ap-1358	23	47	)	)	PUNCT
ap-1358	23	48	are	be	AUX
ap-1358	23	49	the	the	DET
ap-1358	23	50	toroidal	toroidal	ADJ
ap-1358	23	51	coordinates	coordinate	NOUN
ap-1358	23	52	.	.	PUNCT
ap-1358	24	1	we	we	PRON
ap-1358	24	2	have	have	VERB
ap-1358	24	3	0	0	NUM
ap-1358	24	4	≤	≤	NUM
ap-1358	24	5	z	z	NOUN
ap-1358	24	6	≤	≤	NUM
ap-1358	24	7	1	1	NUM
ap-1358	24	8	,	,	PUNCT
ap-1358	24	9	−π	−π	ADV
ap-1358	24	10	≤	≤	NUM
ap-1358	24	11	ξ	ξ	X
ap-1358	24	12	≤	≤	NUM
ap-1358	24	13	π	π	PROPN
ap-1358	24	14	,	,	PUNCT
ap-1358	24	15	0	0	NUM
ap-1358	24	16	≤	≤	NUM
ap-1358	24	17	ϕ	ϕ	X
ap-1358	24	18	≤	≤	ADJ
ap-1358	24	19	2π	2π	NOUN
ap-1358	24	20	,	,	PUNCT
ap-1358	24	21	and	and	CCONJ
ap-1358	24	22	r0	r0	NOUN
ap-1358	24	23	is	be	AUX
ap-1358	24	24	a	a	DET
ap-1358	24	25	free	free	ADJ
ap-1358	24	26	parameter	parameter	NOUN
ap-1358	24	27	with	with	ADP
ap-1358	24	28	dimension	dimension	NOUN
ap-1358	24	29	of	of	ADP
ap-1358	24	30	length	length	NOUN
ap-1358	24	31	.	.	PUNCT
ap-1358	25	1	we	we	PRON
ap-1358	25	2	use	use	VERB
ap-1358	25	3	the	the	DET
ap-1358	25	4	ansatz	ansatz	NOUN
ap-1358	25	5	for	for	ADP
ap-1358	25	6	the	the	DET
ap-1358	25	7	solution	solution	NOUN
ap-1358	25	8	u	u	NOUN
ap-1358	25	9	=	=	PROPN
ap-1358	25	10	√	√	PROPN
ap-1358	25	11	1−	1−	NUM
ap-1358	25	12	g(z	g(z	PROPN
ap-1358	25	13	,	,	PUNCT
ap-1358	25	14	ξ	ξ	NOUN
ap-1358	25	15	)	)	PUNCT
ap-1358	25	16	g(z	g(z	PROPN
ap-1358	25	17	,	,	PUNCT
ap-1358	25	18	ξ	ξ	NOUN
ap-1358	25	19	)	)	PUNCT
ap-1358	25	20	eiθ(z	eiθ(z	PROPN
ap-1358	25	21	,	,	PUNCT
ap-1358	25	22	ξ)+i	ξ)+i	PROPN
ap-1358	25	23	n	n	PRON
ap-1358	25	24	ϕ	ϕ	PROPN
ap-1358	25	25	,	,	PUNCT
ap-1358	25	26	(	(	PUNCT
ap-1358	25	27	7	7	NUM
ap-1358	25	28	)	)	PUNCT
ap-1358	25	29	with	with	ADP
ap-1358	25	30	n	n	NUM
ap-1358	25	31	being	be	AUX
ap-1358	25	32	an	an	DET
ap-1358	25	33	integer	integer	NOUN
ap-1358	25	34	.	.	PUNCT
ap-1358	26	1	we	we	PRON
ap-1358	26	2	now	now	ADV
ap-1358	26	3	impose	impose	VERB
ap-1358	26	4	the	the	DET
ap-1358	26	5	boundary	boundary	ADJ
ap-1358	26	6	conditions	condition	NOUN
ap-1358	26	7	g(z	g(z	PROPN
ap-1358	26	8	=	=	SYM
ap-1358	26	9	0	0	NUM
ap-1358	26	10	,	,	PUNCT
ap-1358	26	11	ξ	ξ	NOUN
ap-1358	26	12	)	)	PUNCT
ap-1358	26	13	=	=	SYM
ap-1358	26	14	0	0	NUM
ap-1358	26	15	,	,	PUNCT
ap-1358	26	16	g(z	g(z	PROPN
ap-1358	26	17	=	=	NOUN
ap-1358	26	18	1	1	NUM
ap-1358	26	19	,	,	PUNCT
ap-1358	26	20	ξ	ξ	X
ap-1358	26	21	)	)	PUNCT
ap-1358	26	22	=	=	SYM
ap-1358	26	23	1	1	NUM
ap-1358	26	24	,	,	PUNCT
ap-1358	26	25	for	for	ADP
ap-1358	26	26	−	−	PROPN
ap-1358	26	27	π	π	PROPN
ap-1358	26	28	≤	≤	NUM
ap-1358	27	1	ξ	ξ	PRON
ap-1358	27	2	≤	≤	PROPN
ap-1358	27	3	π	π	X
ap-1358	27	4	(	(	PUNCT
ap-1358	27	5	8)	8)	NUM
ap-1358	27	6	and	and	CCONJ
ap-1358	27	7	θ(z	θ(z	NOUN
ap-1358	27	8	,	,	PUNCT
ap-1358	27	9	ξ	ξ	X
ap-1358	27	10	=	=	SYM
ap-1358	27	11	−π	−π	ADJ
ap-1358	27	12	)	)	PUNCT
ap-1358	28	1	=	=	PUNCT
ap-1358	28	2	−m	−m	PROPN
ap-1358	28	3	π	π	PROPN
ap-1358	28	4	,	,	PUNCT
ap-1358	28	5	θ(z	θ(z	NOUN
ap-1358	28	6	,	,	PUNCT
ap-1358	28	7	ξ	ξ	X
ap-1358	28	8	=	=	SYM
ap-1358	28	9	π	π	X
ap-1358	28	10	)	)	PUNCT
ap-1358	28	11	=	=	NOUN
ap-1358	29	1	m	m	VERB
ap-1358	29	2	π	π	PROPN
ap-1358	29	3	,	,	PUNCT
ap-1358	29	4	for	for	ADP
ap-1358	29	5	0	0	NUM
ap-1358	29	6	≤	≤	NOUN
ap-1358	29	7	z	z	NOUN
ap-1358	29	8	≤	≤	NUM
ap-1358	29	9	1	1	NUM
ap-1358	29	10	(	(	PUNCT
ap-1358	29	11	9	9	NUM
ap-1358	29	12	)	)	PUNCT
ap-1358	29	13	with	with	ADP
ap-1358	29	14	m	m	AUX
ap-1358	29	15	being	be	AUX
ap-1358	29	16	an	an	DET
ap-1358	29	17	integer	integer	NOUN
ap-1358	29	18	.	.	PUNCT
ap-1358	30	1	47	47	NUM
ap-1358	30	2	acta	acta	PROPN
ap-1358	30	3	polytechnica	polytechnica	PROPN
ap-1358	30	4	vol	vol	NOUN
ap-1358	30	5	.	.	PUNCT
ap-1358	31	1	51	51	NUM
ap-1358	31	2	no	no	NOUN
ap-1358	31	3	.	.	PUNCT
ap-1358	32	1	1/2011	1/2011	NUM
ap-1358	32	2	fig	fig	NOUN
ap-1358	32	3	.	.	PUNCT
ap-1358	33	1	1	1	NUM
ap-1358	33	2	:	:	PUNCT
ap-1358	33	3	the	the	DET
ap-1358	33	4	hopf	hopf	ADJ
ap-1358	33	5	charge	charge	NOUN
ap-1358	33	6	density	density	NOUN
ap-1358	33	7	isosurfaces	isosurface	NOUN
ap-1358	33	8	for	for	ADP
ap-1358	33	9	solutions	solution	NOUN
ap-1358	33	10	with	with	ADP
ap-1358	33	11	various	various	ADJ
ap-1358	33	12	charges	charge	NOUN
ap-1358	33	13	(	(	PUNCT
ap-1358	33	14	m	m	NOUN
ap-1358	33	15	,	,	PUNCT
ap-1358	33	16	n	n	CCONJ
ap-1358	33	17	)	)	PUNCT
ap-1358	33	18	=	=	SYM
ap-1358	33	19	(	(	PUNCT
ap-1358	33	20	1	1	NUM
ap-1358	33	21	,	,	PUNCT
ap-1358	33	22	2	2	NUM
ap-1358	33	23	)	)	PUNCT
ap-1358	33	24	(	(	PUNCT
ap-1358	33	25	left	left	ADV
ap-1358	33	26	)	)	PUNCT
ap-1358	33	27	,	,	PUNCT
ap-1358	33	28	(	(	PUNCT
ap-1358	33	29	2	2	NUM
ap-1358	33	30	,	,	PUNCT
ap-1358	33	31	2	2	NUM
ap-1358	33	32	)	)	PUNCT
ap-1358	33	33	(	(	PUNCT
ap-1358	33	34	middle	middle	NOUN
ap-1358	33	35	)	)	PUNCT
ap-1358	33	36	and	and	CCONJ
ap-1358	33	37	(	(	PUNCT
ap-1358	33	38	4	4	NUM
ap-1358	33	39	,	,	PUNCT
ap-1358	33	40	1	1	NUM
ap-1358	33	41	)	)	PUNCT
ap-1358	33	42	(	(	PUNCT
ap-1358	33	43	right	right	NOUN
ap-1358	33	44	)	)	PUNCT
ap-1358	33	45	for	for	ADP
ap-1358	33	46	βe2	βe2	X
ap-1358	34	1	=	=	NOUN
ap-1358	34	2	1.1	1.1	NUM
ap-1358	34	3	the	the	DET
ap-1358	34	4	finite	finite	ADJ
ap-1358	34	5	energy	energy	NOUN
ap-1358	34	6	solutions	solution	NOUN
ap-1358	34	7	of	of	ADP
ap-1358	34	8	the	the	DET
ap-1358	34	9	theory	theory	NOUN
ap-1358	34	10	(	(	PUNCT
ap-1358	34	11	1	1	X
ap-1358	34	12	)	)	PUNCT
ap-1358	34	13	define	define	VERB
ap-1358	34	14	maps	map	NOUN
ap-1358	34	15	from	from	ADP
ap-1358	34	16	the	the	DET
ap-1358	34	17	three	three	NUM
ap-1358	34	18	dimensional	dimensional	ADJ
ap-1358	34	19	space	space	NOUN
ap-1358	34	20	r	r	NOUN
ap-1358	34	21	3	3	NUM
ap-1358	34	22	∼	∼	NOUN
ap-1358	34	23	s3	s3	NOUN
ap-1358	34	24	to	to	ADP
ap-1358	34	25	the	the	DET
ap-1358	34	26	target	target	NOUN
ap-1358	34	27	space	space	NOUN
ap-1358	34	28	s2	s2	PROPN
ap-1358	34	29	.	.	PUNCT
ap-1358	35	1	these	these	PRON
ap-1358	35	2	are	be	AUX
ap-1358	35	3	classified	classify	VERB
ap-1358	35	4	into	into	ADP
ap-1358	35	5	homotopy	homotopy	NOUN
ap-1358	35	6	classes	class	NOUN
ap-1358	35	7	labeled	label	VERB
ap-1358	35	8	by	by	ADP
ap-1358	35	9	an	an	DET
ap-1358	35	10	integer	integer	PROPN
ap-1358	35	11	qh	qh	NOUN
ap-1358	35	12	called	call	VERB
ap-1358	35	13	the	the	DET
ap-1358	35	14	hopf	hopf	ADJ
ap-1358	35	15	index	index	NOUN
ap-1358	35	16	,	,	PUNCT
ap-1358	35	17	which	which	PRON
ap-1358	35	18	has	have	VERB
ap-1358	35	19	values	value	NOUN
ap-1358	35	20	of	of	ADP
ap-1358	35	21	qh	qh	NOUN
ap-1358	35	22	=	=	PROPN
ap-1358	35	23	m	m	PROPN
ap-1358	35	24	n.	n.	NOUN
ap-1358	35	25	substituting	substituting	NOUN
ap-1358	35	26	(	(	PUNCT
ap-1358	35	27	7	7	NUM
ap-1358	35	28	)	)	PUNCT
ap-1358	35	29	into	into	ADP
ap-1358	35	30	(	(	PUNCT
ap-1358	35	31	4	4	NUM
ap-1358	35	32	)	)	PUNCT
ap-1358	35	33	and	and	CCONJ
ap-1358	35	34	(	(	PUNCT
ap-1358	35	35	5	5	NUM
ap-1358	35	36	)	)	PUNCT
ap-1358	35	37	,	,	PUNCT
ap-1358	35	38	we	we	PRON
ap-1358	35	39	get	get	VERB
ap-1358	35	40	two	two	NUM
ap-1358	35	41	coupled	couple	VERB
ap-1358	35	42	non	non	ADJ
ap-1358	35	43	-	-	ADJ
ap-1358	35	44	linear	linear	ADJ
ap-1358	35	45	partial	partial	ADJ
ap-1358	35	46	differential	differential	NOUN
ap-1358	35	47	equations	equation	NOUN
ap-1358	35	48	in	in	ADP
ap-1358	35	49	two	two	NUM
ap-1358	35	50	variables	variable	NOUN
ap-1358	35	51	.	.	PUNCT
ap-1358	36	1	we	we	PRON
ap-1358	36	2	have	have	AUX
ap-1358	36	3	constructed	construct	VERB
ap-1358	36	4	numerical	numerical	ADJ
ap-1358	36	5	solutions	solution	NOUN
ap-1358	36	6	with	with	ADP
ap-1358	36	7	several	several	ADJ
ap-1358	36	8	hopf	hopf	ADJ
ap-1358	36	9	charges	charge	NOUN
ap-1358	36	10	up	up	ADP
ap-1358	36	11	to	to	ADP
ap-1358	36	12	four	four	NUM
ap-1358	36	13	by	by	ADP
ap-1358	36	14	a	a	DET
ap-1358	36	15	successive	successive	ADJ
ap-1358	36	16	over	over	ADP
ap-1358	36	17	-	-	PUNCT
ap-1358	36	18	relaxation	relaxation	NOUN
ap-1358	36	19	method	method	NOUN
ap-1358	36	20	.	.	PUNCT
ap-1358	37	1	in	in	ADP
ap-1358	37	2	fig	fig	NOUN
ap-1358	37	3	.	.	PUNCT
ap-1358	38	1	1	1	NUM
ap-1358	38	2	,	,	PUNCT
ap-1358	38	3	we	we	PRON
ap-1358	38	4	present	present	VERB
ap-1358	38	5	some	some	PRON
ap-1358	38	6	of	of	ADP
ap-1358	38	7	the	the	DET
ap-1358	38	8	results	result	NOUN
ap-1358	38	9	of	of	ADP
ap-1358	38	10	the	the	DET
ap-1358	38	11	hopf	hopf	ADJ
ap-1358	38	12	charge	charge	NOUN
ap-1358	38	13	density	density	NOUN
ap-1358	38	14	for	for	ADP
ap-1358	38	15	the	the	DET
ap-1358	38	16	charge	charge	NOUN
ap-1358	38	17	(	(	PUNCT
ap-1358	38	18	m	m	PROPN
ap-1358	38	19	,	,	PUNCT
ap-1358	38	20	n	n	CCONJ
ap-1358	38	21	)	)	PUNCT
ap-1358	38	22	=	=	SYM
ap-1358	38	23	(	(	PUNCT
ap-1358	38	24	1	1	NUM
ap-1358	38	25	,	,	PUNCT
ap-1358	38	26	2	2	NUM
ap-1358	38	27	)	)	PUNCT
ap-1358	38	28	,	,	PUNCT
ap-1358	38	29	(	(	PUNCT
ap-1358	38	30	2	2	NUM
ap-1358	38	31	,	,	PUNCT
ap-1358	38	32	2	2	NUM
ap-1358	38	33	)	)	PUNCT
ap-1358	38	34	and	and	CCONJ
ap-1358	38	35	(	(	PUNCT
ap-1358	38	36	4	4	NUM
ap-1358	38	37	,	,	PUNCT
ap-1358	38	38	1	1	NUM
ap-1358	38	39	)	)	PUNCT
ap-1358	38	40	.	.	PUNCT
ap-1358	39	1	probably	probably	ADV
ap-1358	39	2	the	the	DET
ap-1358	39	3	main	main	ADJ
ap-1358	39	4	interest	interest	NOUN
ap-1358	39	5	in	in	ADP
ap-1358	39	6	studying	study	VERB
ap-1358	39	7	the	the	DET
ap-1358	39	8	class	class	NOUN
ap-1358	39	9	of	of	ADP
ap-1358	39	10	the	the	DET
ap-1358	39	11	model	model	NOUN
ap-1358	39	12	is	be	AUX
ap-1358	39	13	to	to	PART
ap-1358	39	14	get	get	VERB
ap-1358	39	15	an	an	DET
ap-1358	39	16	insight	insight	NOUN
ap-1358	39	17	into	into	ADP
ap-1358	39	18	the	the	DET
ap-1358	39	19	mass	mass	NOUN
ap-1358	39	20	of	of	ADP
ap-1358	39	21	the	the	DET
ap-1358	39	22	glueballs	glueball	NOUN
ap-1358	39	23	.	.	PUNCT
ap-1358	40	1	since	since	SCONJ
ap-1358	40	2	our	our	PRON
ap-1358	40	3	finding	finding	NOUN
ap-1358	40	4	solutions	solution	NOUN
ap-1358	40	5	are	be	AUX
ap-1358	40	6	classical	classical	ADJ
ap-1358	40	7	,	,	PUNCT
ap-1358	40	8	they	they	PRON
ap-1358	40	9	must	must	AUX
ap-1358	40	10	be	be	AUX
ap-1358	40	11	properly	properly	ADV
ap-1358	40	12	quantized	quantize	VERB
ap-1358	40	13	.	.	PUNCT
ap-1358	41	1	making	make	VERB
ap-1358	41	2	the	the	DET
ap-1358	41	3	following	follow	VERB
ap-1358	41	4	replacement	replacement	NOUN
ap-1358	41	5	for	for	ADP
ap-1358	41	6	the	the	DET
ap-1358	41	7	fields	field	NOUN
ap-1358	41	8	[	[	X
ap-1358	41	9	10	10	NUM
ap-1358	41	10	]	]	PUNCT
ap-1358	41	11	�	�	PROPN
ap-1358	41	12	n(	n(	NOUN
ap-1358	41	13	�	�	PROPN
ap-1358	41	14	r	r	NOUN
ap-1358	41	15	)	)	PUNCT
ap-1358	41	16	·	·	PUNCT
ap-1358	41	17	�	�	PROPN
ap-1358	41	18	τ	τ	PROPN
ap-1358	41	19	→	→	SYM
ap-1358	41	20	�	�	PROPN
ap-1358	41	21	n′(	n′(	PROPN
ap-1358	41	22	�	�	PROPN
ap-1358	41	23	r	r	PROPN
ap-1358	41	24	,	,	PUNCT
ap-1358	41	25	t	t	PROPN
ap-1358	41	26	)	)	PUNCT
ap-1358	41	27	·	·	PUNCT
ap-1358	41	28	�	�	X
ap-1358	41	29	τ	τ	X
ap-1358	41	30	:	:	PUNCT
ap-1358	41	31	=	=	SYM
ap-1358	41	32	(	(	PUNCT
ap-1358	41	33	10	10	NUM
ap-1358	41	34	)	)	PUNCT
ap-1358	41	35	a(t	a(t	NOUN
ap-1358	41	36	)	)	PUNCT
ap-1358	41	37	[	[	PUNCT
ap-1358	41	38	�	�	PROPN
ap-1358	41	39	n(r(b(t))	n(r(b(t))	SYM
ap-1358	41	40	�	�	PROPN
ap-1358	41	41	r	r	NOUN
ap-1358	41	42	−	−	PROPN
ap-1358	41	43	�	�	PROPN
ap-1358	41	44	x	x	NOUN
ap-1358	41	45	)	)	PUNCT
ap-1358	41	46	·	·	PUNCT
ap-1358	41	47	�	�	PROPN
ap-1358	41	48	τ	τ	PROPN
ap-1358	41	49	]	]	X
ap-1358	41	50	a†(t	a†(t	NOUN
ap-1358	41	51	)	)	PUNCT
ap-1358	41	52	,	,	PUNCT
ap-1358	41	53	one	one	PRON
ap-1358	41	54	obtains	obtain	VERB
ap-1358	41	55	the	the	DET
ap-1358	41	56	kinetic	kinetic	ADJ
ap-1358	41	57	contribution	contribution	NOUN
ap-1358	41	58	to	to	ADP
ap-1358	41	59	the	the	DET
ap-1358	41	60	energy	energy	NOUN
ap-1358	41	61	t	t	NOUN
ap-1358	41	62	=	=	SYM
ap-1358	41	63	1	1	NUM
ap-1358	41	64	2	2	NUM
ap-1358	41	65	aiuijaj	aiuijaj	NOUN
ap-1358	41	66	−	−	NOUN
ap-1358	41	67	aiwijbj	aiwijbj	NOUN
ap-1358	42	1	+	+	CCONJ
ap-1358	42	2	1	1	NUM
ap-1358	42	3	2	2	NUM
ap-1358	42	4	bivijbj	bivijbj	ADJ
ap-1358	42	5	(	(	PUNCT
ap-1358	42	6	11	11	NUM
ap-1358	42	7	)	)	PUNCT
ap-1358	42	8	with	with	ADP
ap-1358	42	9	ai	ai	NOUN
ap-1358	42	10	:	:	PUNCT
ap-1358	42	11	=	=	SYM
ap-1358	42	12	−itr(τia	−itr(τia	PROPN
ap-1358	42	13	†ȧ	†ȧ	PROPN
ap-1358	42	14	)	)	PUNCT
ap-1358	42	15	and	and	CCONJ
ap-1358	42	16	bi	bi	NOUN
ap-1358	42	17	:	:	PUNCT
ap-1358	42	18	=	=	SYM
ap-1358	42	19	itr(τiḃb†	itr(τiḃb†	NOUN
ap-1358	42	20	)	)	PUNCT
ap-1358	42	21	.	.	PUNCT
ap-1358	43	1	here	here	ADV
ap-1358	43	2	a	a	PRON
ap-1358	43	3	and	and	CCONJ
ap-1358	43	4	b	b	NOUN
ap-1358	43	5	are	be	AUX
ap-1358	43	6	matrices	matrix	NOUN
ap-1358	43	7	in	in	ADP
ap-1358	43	8	su(2	su(2	NOUN
ap-1358	43	9	)	)	PUNCT
ap-1358	43	10	,	,	PUNCT
ap-1358	43	11	and	and	CCONJ
ap-1358	43	12	b	b	NOUN
ap-1358	43	13	works	work	VERB
ap-1358	43	14	through	through	ADP
ap-1358	43	15	so(3	so(3	NOUN
ap-1358	43	16	)	)	PUNCT
ap-1358	43	17	form	form	NOUN
ap-1358	43	18	rij(b	rij(b	PROPN
ap-1358	43	19	)	)	PUNCT
ap-1358	43	20	=	=	SYM
ap-1358	43	21	1	1	NUM
ap-1358	43	22	2	2	NUM
ap-1358	43	23	tr(τibτjb	tr(τibτjb	NUM
ap-1358	43	24	−1	−1	NOUN
ap-1358	43	25	)	)	PUNCT
ap-1358	43	26	.	.	PUNCT
ap-1358	44	1	�	�	PROPN
ap-1358	44	2	b	b	PROPN
ap-1358	44	3	is	be	AUX
ap-1358	44	4	an	an	DET
ap-1358	44	5	angular	angular	ADJ
ap-1358	44	6	velocity	velocity	NOUN
ap-1358	44	7	,	,	PUNCT
ap-1358	44	8	and	and	CCONJ
ap-1358	44	9	�	�	PROPN
ap-1358	44	10	a	a	PRON
ap-1358	44	11	means	mean	VERB
ap-1358	44	12	an	an	DET
ap-1358	44	13	angular	angular	ADJ
ap-1358	44	14	velocity	velocity	NOUN
ap-1358	44	15	in	in	ADP
ap-1358	44	16	an	an	DET
ap-1358	44	17	isospace	isospace	NOUN
ap-1358	44	18	.	.	PUNCT
ap-1358	45	1	quantizing	quantize	VERB
ap-1358	45	2	these	these	DET
ap-1358	45	3	coordinates	coordinate	NOUN
ap-1358	45	4	,	,	PUNCT
ap-1358	45	5	one	one	PRON
ap-1358	45	6	finally	finally	ADV
ap-1358	45	7	finds	find	VERB
ap-1358	45	8	the	the	DET
ap-1358	45	9	quantized	quantize	VERB
ap-1358	45	10	mass	mass	NOUN
ap-1358	45	11	of	of	ADP
ap-1358	45	12	the	the	DET
ap-1358	45	13	hopf	hopf	ADJ
ap-1358	45	14	soliton	soliton	NOUN
ap-1358	45	15	equanta	equanta	VERB
ap-1358	45	16	:	:	PUNCT
ap-1358	45	17	=	=	NOUN
ap-1358	45	18	m	m	VERB
ap-1358	45	19	|e|estatic	|e|estatic	ADJ
ap-1358	45	20	−	−	PROPN
ap-1358	45	21	me2|e|	me2|e|	X
ap-1358	46	1	[	[	PUNCT
ap-1358	46	2	i(i+	i(i+	NOUN
ap-1358	46	3	1	1	NUM
ap-1358	46	4	)	)	PUNCT
ap-1358	46	5	2u11	2u11	NUM
ap-1358	47	1	+	+	CCONJ
ap-1358	47	2	j(j	j(j	PROPN
ap-1358	47	3	+	+	CCONJ
ap-1358	47	4	1	1	X
ap-1358	47	5	)	)	PUNCT
ap-1358	47	6	2v11	2v11	NOUN
ap-1358	48	1	+	+	CCONJ
ap-1358	48	2	(	(	PUNCT
ap-1358	48	3	12	12	NUM
ap-1358	48	4	)	)	PUNCT
ap-1358	48	5	k23	k23	NOUN
ap-1358	48	6	2	2	NUM
ap-1358	48	7	(	(	PUNCT
ap-1358	48	8	1	1	NUM
ap-1358	48	9	u33	u33	ADJ
ap-1358	48	10	−	−	PROPN
ap-1358	48	11	1	1	NUM
ap-1358	48	12	u11	u11	ADJ
ap-1358	48	13	−	−	PROPN
ap-1358	48	14	n2	n2	ADJ
ap-1358	48	15	v11	v11	NOUN
ap-1358	48	16	)	)	PUNCT
ap-1358	48	17	]	]	PUNCT
ap-1358	48	18	,	,	PUNCT
ap-1358	48	19	where	where	SCONJ
ap-1358	48	20	estatic	estatic	ADJ
ap-1358	48	21	is	be	AUX
ap-1358	48	22	the	the	DET
ap-1358	48	23	energy	energy	NOUN
ap-1358	48	24	corresponding	correspond	VERB
ap-1358	48	25	to	to	ADP
ap-1358	48	26	the	the	DET
ap-1358	48	27	hamiltonian	hamiltonian	NOUN
ap-1358	48	28	(	(	PUNCT
ap-1358	48	29	3	3	NUM
ap-1358	48	30	)	)	PUNCT
ap-1358	48	31	and	and	CCONJ
ap-1358	48	32	the	the	DET
ap-1358	48	33	inertia	inertia	NOUN
ap-1358	48	34	tensors	tensor	NOUN
ap-1358	48	35	uab	uab	PROPN
ap-1358	48	36	,	,	PUNCT
ap-1358	48	37	vab	vab	PROPN
ap-1358	48	38	are	be	AUX
ap-1358	48	39	the	the	DET
ap-1358	48	40	function	function	NOUN
ap-1358	48	41	of	of	ADP
ap-1358	48	42	the	the	DET
ap-1358	48	43	classical	classical	ADJ
ap-1358	48	44	fields	field	NOUN
ap-1358	48	45	�	�	PROPN
ap-1358	48	46	n.	n.	NOUN
ap-1358	48	47	numerically	numerically	ADV
ap-1358	48	48	u11	u11	PROPN
ap-1358	48	49	has	have	VERB
ap-1358	48	50	a	a	DET
ap-1358	48	51	quite	quite	ADV
ap-1358	48	52	large	large	ADJ
ap-1358	48	53	value	value	NOUN
ap-1358	48	54	,	,	PUNCT
ap-1358	48	55	so	so	SCONJ
ap-1358	48	56	we	we	PRON
ap-1358	48	57	omit	omit	VERB
ap-1358	48	58	the	the	DET
ap-1358	48	59	terms	term	NOUN
ap-1358	48	60	with	with	ADP
ap-1358	48	61	u11	u11	PROPN
ap-1358	48	62	.	.	PUNCT
ap-1358	49	1	as	as	ADP
ap-1358	49	2	a	a	DET
ap-1358	49	3	result	result	NOUN
ap-1358	49	4	,	,	PUNCT
ap-1358	49	5	the	the	DET
ap-1358	49	6	states	state	NOUN
ap-1358	49	7	are	be	AUX
ap-1358	49	8	essentially	essentially	ADV
ap-1358	49	9	labeled	label	VERB
ap-1358	49	10	by	by	ADP
ap-1358	49	11	two	two	NUM
ap-1358	49	12	quantum	quantum	ADJ
ap-1358	49	13	numbers	number	NOUN
ap-1358	49	14	(	(	PUNCT
ap-1358	49	15	j	j	NOUN
ap-1358	49	16	,	,	PUNCT
ap-1358	49	17	k3	k3	PROPN
ap-1358	49	18	)	)	PUNCT
ap-1358	49	19	.	.	PUNCT
ap-1358	50	1	krusch	krusch	PROPN
ap-1358	50	2	applied	apply	VERB
ap-1358	50	3	the	the	DET
ap-1358	50	4	basic	basic	ADJ
ap-1358	50	5	fr	fr	ADJ
ap-1358	50	6	constraints	constraint	NOUN
ap-1358	50	7	to	to	ADP
ap-1358	50	8	the	the	DET
ap-1358	50	9	skyrme	skyrme	ADJ
ap-1358	50	10	-	-	PUNCT
ap-1358	50	11	faddeev	faddeev	NOUN
ap-1358	50	12	model	model	NOUN
ap-1358	50	13	,	,	PUNCT
ap-1358	50	14	and	and	CCONJ
ap-1358	50	15	finally	finally	ADV
ap-1358	50	16	found	find	VERB
ap-1358	50	17	that	that	SCONJ
ap-1358	50	18	the	the	DET
ap-1358	50	19	quantum	quantum	ADJ
ap-1358	50	20	states	state	NOUN
ap-1358	50	21	with	with	ADP
ap-1358	50	22	even	even	ADV
ap-1358	50	23	topological	topological	ADJ
ap-1358	50	24	charge	charge	NOUN
ap-1358	50	25	qh	qh	NOUN
ap-1358	50	26	could	could	AUX
ap-1358	50	27	be	be	AUX
ap-1358	50	28	bosonic[11	bosonic[11	VERB
ap-1358	50	29	]	]	PUNCT
ap-1358	50	30	.	.	PUNCT
ap-1358	51	1	they	they	PRON
ap-1358	51	2	may	may	AUX
ap-1358	51	3	be	be	AUX
ap-1358	51	4	possible	possible	ADJ
ap-1358	51	5	candidates	candidate	NOUN
ap-1358	51	6	for	for	ADP
ap-1358	51	7	glueballs	glueball	NOUN
ap-1358	51	8	.	.	PUNCT
ap-1358	52	1	fig	fig	NOUN
ap-1358	52	2	.	.	PUNCT
ap-1358	53	1	2	2	NUM
ap-1358	53	2	:	:	PUNCT
ap-1358	53	3	the	the	DET
ap-1358	53	4	quantized	quantize	VERB
ap-1358	53	5	spectra	spectra	NOUN
ap-1358	53	6	for	for	ADP
ap-1358	53	7	the	the	DET
ap-1358	53	8	topological	topological	ADJ
ap-1358	53	9	charge	charge	NOUN
ap-1358	53	10	(	(	PUNCT
ap-1358	53	11	m	m	PROPN
ap-1358	53	12	,	,	PUNCT
ap-1358	53	13	n	n	CCONJ
ap-1358	53	14	)	)	PUNCT
ap-1358	53	15	=	=	SYM
ap-1358	53	16	(	(	PUNCT
ap-1358	53	17	1	1	NUM
ap-1358	53	18	,	,	PUNCT
ap-1358	53	19	2	2	NUM
ap-1358	53	20	)	)	PUNCT
ap-1358	53	21	and	and	CCONJ
ap-1358	53	22	(	(	PUNCT
ap-1358	53	23	4	4	NUM
ap-1358	53	24	,	,	PUNCT
ap-1358	53	25	1	1	NUM
ap-1358	53	26	)	)	PUNCT
ap-1358	53	27	(	(	PUNCT
ap-1358	53	28	bold	bold	ADJ
ap-1358	53	29	line	line	NOUN
ap-1358	53	30	)	)	PUNCT
ap-1358	53	31	,	,	PUNCT
ap-1358	53	32	compared	compare	VERB
ap-1358	53	33	with	with	ADP
ap-1358	53	34	result	result	NOUN
ap-1358	53	35	of	of	ADP
ap-1358	53	36	the	the	DET
ap-1358	53	37	lattice	lattice	PROPN
ap-1358	53	38	simulation	simulation	NOUN
ap-1358	53	39	[	[	X
ap-1358	53	40	12	12	NUM
ap-1358	53	41	]	]	PUNCT
ap-1358	53	42	we	we	PRON
ap-1358	53	43	plot	plot	VERB
ap-1358	53	44	the	the	DET
ap-1358	53	45	lowest	low	ADJ
ap-1358	53	46	three	three	NUM
ap-1358	53	47	states	state	NOUN
ap-1358	53	48	of	of	ADP
ap-1358	53	49	(	(	PUNCT
ap-1358	53	50	m	m	PROPN
ap-1358	53	51	,	,	PUNCT
ap-1358	53	52	n	n	CCONJ
ap-1358	53	53	)	)	PUNCT
ap-1358	53	54	=	=	SYM
ap-1358	53	55	(	(	PUNCT
ap-1358	53	56	1	1	NUM
ap-1358	53	57	,	,	PUNCT
ap-1358	53	58	2	2	NUM
ap-1358	53	59	)	)	PUNCT
ap-1358	53	60	and	and	CCONJ
ap-1358	53	61	(	(	PUNCT
ap-1358	53	62	4	4	NUM
ap-1358	53	63	,	,	PUNCT
ap-1358	53	64	1	1	NUM
ap-1358	53	65	)	)	PUNCT
ap-1358	53	66	.	.	PUNCT
ap-1358	54	1	first	first	ADV
ap-1358	54	2	,	,	PUNCT
ap-1358	54	3	we	we	PRON
ap-1358	54	4	have	have	AUX
ap-1358	54	5	fitted	fit	VERB
ap-1358	54	6	the	the	DET
ap-1358	54	7	first	first	ADJ
ap-1358	54	8	two	two	NUM
ap-1358	54	9	spectra	spectra	NOUN
ap-1358	54	10	to	to	ADP
ap-1358	54	11	the	the	DET
ap-1358	54	12	result	result	NOUN
ap-1358	54	13	of	of	ADP
ap-1358	54	14	the	the	DET
ap-1358	54	15	lattice	lattice	PROPN
ap-1358	54	16	simulation	simulation	NOUN
ap-1358	54	17	[	[	X
ap-1358	54	18	12	12	NUM
ap-1358	54	19	]	]	PUNCT
ap-1358	54	20	and	and	CCONJ
ap-1358	54	21	have	have	AUX
ap-1358	54	22	computed	compute	VERB
ap-1358	54	23	the	the	DET
ap-1358	54	24	third	third	ADV
ap-1358	54	25	lowest	low	ADJ
ap-1358	54	26	spectrum	spectrum	NOUN
ap-1358	54	27	corresponding	correspond	VERB
ap-1358	54	28	to	to	ADP
ap-1358	54	29	jpc	jpc	PROPN
ap-1358	54	30	=	=	PROPN
ap-1358	54	31	2−+	2−+	PROPN
ap-1358	54	32	.	.	PUNCT
ap-1358	55	1	for	for	ADP
ap-1358	55	2	(	(	PUNCT
ap-1358	55	3	1	1	NUM
ap-1358	55	4	,	,	PUNCT
ap-1358	55	5	2	2	NUM
ap-1358	55	6	)	)	PUNCT
ap-1358	55	7	,	,	PUNCT
ap-1358	55	8	the	the	DET
ap-1358	55	9	third	third	ADJ
ap-1358	55	10	state	state	NOUN
ap-1358	55	11	is	be	AUX
ap-1358	55	12	lower	low	ADJ
ap-1358	55	13	energy	energy	NOUN
ap-1358	55	14	than	than	ADP
ap-1358	55	15	the	the	DET
ap-1358	55	16	second	second	ADJ
ap-1358	55	17	state	state	NOUN
ap-1358	55	18	because	because	SCONJ
ap-1358	55	19	the	the	DET
ap-1358	55	20	second	second	ADJ
ap-1358	55	21	term	term	NOUN
ap-1358	55	22	on	on	ADP
ap-1358	55	23	the	the	DET
ap-1358	55	24	right	right	ADJ
ap-1358	55	25	hand	hand	NOUN
ap-1358	55	26	side	side	NOUN
ap-1358	55	27	of	of	ADP
ap-1358	55	28	(	(	PUNCT
ap-1358	55	29	12	12	NUM
ap-1358	55	30	)	)	PUNCT
ap-1358	55	31	has	have	VERB
ap-1358	55	32	a	a	DET
ap-1358	55	33	negative	negative	ADJ
ap-1358	55	34	contribution	contribution	NOUN
ap-1358	55	35	to	to	ADP
ap-1358	55	36	the	the	DET
ap-1358	55	37	quantum	quantum	ADJ
ap-1358	55	38	energy	energy	NOUN
ap-1358	55	39	.	.	PUNCT
ap-1358	56	1	on	on	ADP
ap-1358	56	2	the	the	DET
ap-1358	56	3	other	other	ADJ
ap-1358	56	4	hand	hand	NOUN
ap-1358	56	5	,	,	PUNCT
ap-1358	56	6	if	if	SCONJ
ap-1358	56	7	we	we	PRON
ap-1358	56	8	employ	employ	VERB
ap-1358	56	9	the	the	DET
ap-1358	56	10	solution	solution	NOUN
ap-1358	56	11	of	of	ADP
ap-1358	56	12	(	(	PUNCT
ap-1358	56	13	4	4	NUM
ap-1358	56	14	,	,	PUNCT
ap-1358	56	15	1	1	NUM
ap-1358	56	16	)	)	PUNCT
ap-1358	56	17	,	,	PUNCT
ap-1358	56	18	the	the	DET
ap-1358	56	19	third	third	ADJ
ap-1358	56	20	state	state	NOUN
ap-1358	56	21	appears	appear	VERB
ap-1358	56	22	near	near	ADV
ap-1358	56	23	to	to	ADP
ap-1358	56	24	the	the	DET
ap-1358	56	25	prediction	prediction	NOUN
ap-1358	56	26	of	of	ADP
ap-1358	56	27	the	the	DET
ap-1358	56	28	lattice	lattice	NOUN
ap-1358	56	29	.	.	PUNCT
ap-1358	57	1	this	this	PRON
ap-1358	57	2	is	be	AUX
ap-1358	57	3	quite	quite	ADV
ap-1358	57	4	promising	promising	ADJ
ap-1358	57	5	.	.	PUNCT
ap-1358	58	1	in	in	ADP
ap-1358	58	2	[	[	X
ap-1358	58	3	12	12	NUM
ap-1358	58	4	]	]	PUNCT
ap-1358	58	5	,	,	PUNCT
ap-1358	58	6	the	the	DET
ap-1358	58	7	authors	author	NOUN
ap-1358	58	8	also	also	ADV
ap-1358	58	9	predicted	predict	VERB
ap-1358	58	10	the	the	DET
ap-1358	58	11	root	root	NOUN
ap-1358	58	12	mean	mean	ADJ
ap-1358	58	13	square	square	ADJ
ap-1358	58	14	radius	radius	NOUN
ap-1358	58	15	√	√	PROPN
ap-1358	58	16	〈	〈	PROPN
ap-1358	58	17	r2	r2	PROPN
ap-1358	58	18	〉	〉	PROPN
ap-1358	58	19	∼	∼	NOUN
ap-1358	58	20	0.481	0.481	NUM
ap-1358	59	1	[	[	X
ap-1358	59	2	fm	fm	X
ap-1358	59	3	]	]	X
ap-1358	59	4	.	.	PUNCT
ap-1358	60	1	in	in	ADP
ap-1358	60	2	our	our	PRON
ap-1358	60	3	calculation	calculation	NOUN
ap-1358	60	4	,	,	PUNCT
ap-1358	60	5	the	the	DET
ap-1358	60	6	radius	radius	NOUN
ap-1358	60	7	is	be	AUX
ap-1358	60	8	√	√	ADJ
ap-1358	60	9	〈	〈	PROPN
ap-1358	60	10	r2	r2	PROPN
ap-1358	60	11	〉	〉	NOUN
ap-1358	60	12	=	=	SYM
ap-1358	60	13	0.466	0.466	NUM
ap-1358	60	14	(	(	PUNCT
ap-1358	60	15	for	for	ADP
ap-1358	60	16	(	(	PUNCT
ap-1358	60	17	1	1	NUM
ap-1358	60	18	,	,	PUNCT
ap-1358	60	19	2	2	NUM
ap-1358	60	20	)	)	PUNCT
ap-1358	60	21	)	)	PUNCT
ap-1358	60	22	or	or	CCONJ
ap-1358	60	23	0.536	0.536	NUM
ap-1358	60	24	(	(	PUNCT
ap-1358	60	25	for	for	ADP
ap-1358	60	26	(	(	PUNCT
ap-1358	60	27	4	4	NUM
ap-1358	60	28	,	,	PUNCT
ap-1358	60	29	1	1	NUM
ap-1358	60	30	)	)	PUNCT
ap-1358	60	31	)	)	PUNCT
ap-1358	61	1	[	[	X
ap-1358	61	2	fm	fm	X
ap-1358	61	3	]	]	X
ap-1358	61	4	;	;	PUNCT
ap-1358	61	5	the	the	DET
ap-1358	61	6	results	result	NOUN
ap-1358	61	7	are	be	AUX
ap-1358	61	8	consistent	consistent	ADJ
ap-1358	61	9	.	.	PUNCT
ap-1358	62	1	we	we	PRON
ap-1358	62	2	summarize	summarize	VERB
ap-1358	62	3	our	our	PRON
ap-1358	62	4	analysis	analysis	NOUN
ap-1358	62	5	.	.	PUNCT
ap-1358	63	1	we	we	PRON
ap-1358	63	2	have	have	AUX
ap-1358	63	3	found	find	VERB
ap-1358	63	4	new	new	ADJ
ap-1358	63	5	hopf	hopf	ADJ
ap-1358	63	6	soliton	soliton	NOUN
ap-1358	63	7	solutions	solution	NOUN
ap-1358	63	8	for	for	ADP
ap-1358	63	9	the	the	DET
ap-1358	63	10	extended	extended	ADJ
ap-1358	63	11	skyrmefaddeev	skyrmefaddeev	NOUN
ap-1358	63	12	model	model	NOUN
ap-1358	63	13	.	.	PUNCT
ap-1358	64	1	the	the	DET
ap-1358	64	2	model	model	NOUN
ap-1358	64	3	is	be	AUX
ap-1358	64	4	a	a	DET
ap-1358	64	5	low	low	ADJ
ap-1358	64	6	energy	energy	NOUN
ap-1358	64	7	effective	effective	ADJ
ap-1358	64	8	model	model	NOUN
ap-1358	64	9	of	of	ADP
ap-1358	64	10	qcd	qcd	PROPN
ap-1358	64	11	,	,	PUNCT
ap-1358	64	12	and	and	CCONJ
ap-1358	64	13	the	the	DET
ap-1358	64	14	solutions	solution	NOUN
ap-1358	64	15	are	be	AUX
ap-1358	64	16	possible	possible	ADJ
ap-1358	64	17	candidates	candidate	NOUN
ap-1358	64	18	for	for	ADP
ap-1358	64	19	the	the	DET
ap-1358	64	20	glueballs	glueball	NOUN
ap-1358	64	21	.	.	PUNCT
ap-1358	65	1	we	we	PRON
ap-1358	65	2	have	have	AUX
ap-1358	65	3	performed	perform	VERB
ap-1358	65	4	the	the	DET
ap-1358	65	5	collective	collective	ADJ
ap-1358	65	6	coordinate	coordinate	NOUN
ap-1358	65	7	quantization	quantization	NOUN
ap-1358	65	8	for	for	ADP
ap-1358	65	9	the	the	DET
ap-1358	65	10	obtained	obtain	VERB
ap-1358	65	11	classical	classical	ADJ
ap-1358	65	12	solutions	solution	NOUN
ap-1358	65	13	and	and	CCONJ
ap-1358	65	14	have	have	AUX
ap-1358	65	15	computed	compute	VERB
ap-1358	65	16	the	the	DET
ap-1358	65	17	quantum	quantum	ADJ
ap-1358	65	18	energies	energy	NOUN
ap-1358	65	19	.	.	PUNCT
ap-1358	66	1	some	some	PRON
ap-1358	66	2	of	of	ADP
ap-1358	66	3	our	our	PRON
ap-1358	66	4	results	result	NOUN
ap-1358	66	5	are	be	AUX
ap-1358	66	6	in	in	ADP
ap-1358	66	7	good	good	ADJ
ap-1358	66	8	agreement	agreement	NOUN
ap-1358	66	9	with	with	ADP
ap-1358	66	10	the	the	DET
ap-1358	66	11	study	study	NOUN
ap-1358	66	12	of	of	ADP
ap-1358	66	13	the	the	DET
ap-1358	66	14	lattice	lattice	PROPN
ap-1358	66	15	gauge	gauge	PROPN
ap-1358	66	16	simulation	simulation	PROPN
ap-1358	66	17	.	.	PUNCT
ap-1358	67	1	acknowledgement	acknowledgement	NOUN
ap-1358	67	2	the	the	DET
ap-1358	67	3	authors	author	NOUN
ap-1358	67	4	acknowledge	acknowledge	VERB
ap-1358	67	5	financial	financial	ADJ
ap-1358	67	6	support	support	NOUN
ap-1358	67	7	from	from	ADP
ap-1358	67	8	fapesp	fapesp	ADJ
ap-1358	67	9	(	(	PUNCT
ap-1358	67	10	brazil	brazil	PROPN
ap-1358	67	11	)	)	PUNCT
ap-1358	67	12	.	.	PUNCT
ap-1358	68	1	one	one	NUM
ap-1358	68	2	of	of	ADP
ap-1358	68	3	the	the	DET
ap-1358	68	4	authors	author	NOUN
ap-1358	68	5	(	(	PUNCT
ap-1358	68	6	l.a.f	l.a.f	ADJ
ap-1358	68	7	.	.	PUNCT
ap-1358	68	8	)	)	PUNCT
ap-1358	68	9	is	be	AUX
ap-1358	68	10	partially	partially	ADV
ap-1358	68	11	supported	support	VERB
ap-1358	68	12	by	by	ADP
ap-1358	68	13	cnpq	cnpq	NOUN
ap-1358	68	14	.	.	PUNCT
ap-1358	69	1	this	this	DET
ap-1358	69	2	work	work	NOUN
ap-1358	69	3	was	be	AUX
ap-1358	69	4	partially	partially	ADV
ap-1358	69	5	48	48	NUM
ap-1358	69	6	acta	acta	PROPN
ap-1358	69	7	polytechnica	polytechnica	PROPN
ap-1358	69	8	vol	vol	NOUN
ap-1358	69	9	.	.	PUNCT
ap-1358	70	1	51	51	NUM
ap-1358	70	2	no	no	NOUN
ap-1358	70	3	.	.	PUNCT
ap-1358	71	1	1/2011	1/2011	NUM
ap-1358	71	2	supported	support	VERB
ap-1358	71	3	by	by	ADP
ap-1358	71	4	a	a	DET
ap-1358	71	5	grant	grant	NOUN
ap-1358	71	6	-	-	PUNCT
ap-1358	71	7	in	in	ADP
ap-1358	71	8	-	-	PUNCT
ap-1358	71	9	aid	aid	NOUN
ap-1358	71	10	for	for	ADP
ap-1358	71	11	the	the	DET
ap-1358	71	12	global	global	PROPN
ap-1358	71	13	coe	coe	PROPN
ap-1358	71	14	program	program	PROPN
ap-1358	71	15	“	"	PUNCT
ap-1358	71	16	the	the	DET
ap-1358	71	17	next	next	ADJ
ap-1358	71	18	generation	generation	NOUN
ap-1358	71	19	of	of	ADP
ap-1358	71	20	physics	physics	NOUN
ap-1358	71	21	,	,	PUNCT
ap-1358	71	22	spun	spin	VERB
ap-1358	71	23	from	from	ADP
ap-1358	71	24	universality	universality	NOUN
ap-1358	71	25	and	and	CCONJ
ap-1358	71	26	emergence	emergence	NOUN
ap-1358	71	27	”	"	PUNCT
ap-1358	71	28	from	from	ADP
ap-1358	71	29	the	the	DET
ap-1358	71	30	ministry	ministry	PROPN
ap-1358	71	31	of	of	ADP
ap-1358	71	32	education	education	PROPN
ap-1358	71	33	,	,	PUNCT
ap-1358	71	34	culture	culture	NOUN
ap-1358	71	35	,	,	PUNCT
ap-1358	71	36	sports	sport	NOUN
ap-1358	71	37	,	,	PUNCT
ap-1358	71	38	science	science	NOUN
ap-1358	71	39	and	and	CCONJ
ap-1358	71	40	technology	technology	NOUN
ap-1358	71	41	(	(	PUNCT
ap-1358	71	42	mext	mext	NOUN
ap-1358	71	43	)	)	PUNCT
ap-1358	71	44	of	of	ADP
ap-1358	71	45	japan	japan	PROPN
ap-1358	71	46	.	.	PUNCT
ap-1358	72	1	one	one	NUM
ap-1358	72	2	of	of	ADP
ap-1358	72	3	the	the	DET
ap-1358	72	4	authors	author	NOUN
ap-1358	72	5	(	(	PUNCT
ap-1358	72	6	k.t	k.t	PROPN
ap-1358	72	7	.	.	PROPN
ap-1358	72	8	)	)	PUNCT
ap-1358	72	9	is	be	AUX
ap-1358	72	10	partially	partially	ADV
ap-1358	72	11	supported	support	VERB
ap-1358	72	12	by	by	ADP
ap-1358	72	13	the	the	DET
ap-1358	72	14	fy	fy	PROPN
ap-1358	72	15	2010	2010	NUM
ap-1358	72	16	researcher	researcher	NOUN
ap-1358	72	17	exchange	exchange	NOUN
ap-1358	72	18	program	program	NOUN
ap-1358	72	19	between	between	ADP
ap-1358	72	20	jsps	jsps	PROPN
ap-1358	72	21	and	and	CCONJ
ap-1358	72	22	the	the	DET
ap-1358	72	23	german	german	ADJ
ap-1358	72	24	academic	academic	ADJ
ap-1358	72	25	exchange	exchange	NOUN
ap-1358	72	26	service	service	NOUN
ap-1358	72	27	.	.	PUNCT
ap-1358	73	1	one	one	NUM
ap-1358	73	2	of	of	ADP
ap-1358	73	3	the	the	DET
ap-1358	73	4	authors	author	NOUN
ap-1358	73	5	(	(	PUNCT
ap-1358	73	6	n.s	n.s	PROPN
ap-1358	73	7	)	)	PUNCT
ap-1358	73	8	expresses	express	VERB
ap-1358	73	9	his	his	PRON
ap-1358	73	10	gratitude	gratitude	NOUN
ap-1358	73	11	to	to	ADP
ap-1358	73	12	the	the	DET
ap-1358	73	13	conference	conference	NOUN
ap-1358	73	14	organizers	organizer	NOUN
ap-1358	73	15	of	of	ADP
ap-1358	73	16	isqs19	isqs19	NOUN
ap-1358	73	17	for	for	ADP
ap-1358	73	18	kind	kind	ADJ
ap-1358	73	19	accommodation	accommodation	NOUN
ap-1358	73	20	and	and	CCONJ
ap-1358	73	21	hospitality	hospitality	NOUN
ap-1358	73	22	.	.	PUNCT
ap-1358	74	1	references	reference	NOUN
ap-1358	74	2	[	[	X
ap-1358	74	3	1	1	NUM
ap-1358	74	4	]	]	X
ap-1358	74	5	ferreira	ferreira	PROPN
ap-1358	74	6	,	,	PUNCT
ap-1358	74	7	l.	l.	PROPN
ap-1358	74	8	a.	a.	PROPN
ap-1358	74	9	,	,	PUNCT
ap-1358	74	10	sawado	sawado	NOUN
ap-1358	74	11	,	,	PUNCT
ap-1358	74	12	n.	n.	NOUN
ap-1358	74	13	,	,	PUNCT
ap-1358	74	14	toda	toda	PROPN
ap-1358	74	15	,	,	PUNCT
ap-1358	74	16	k.	k.	PROPN
ap-1358	74	17	:	:	PUNCT
ap-1358	74	18	static	static	ADJ
ap-1358	74	19	hopfions	hopfion	NOUN
ap-1358	74	20	in	in	ADP
ap-1358	74	21	the	the	DET
ap-1358	74	22	extended	extended	ADJ
ap-1358	74	23	skyrme	skyrme	ADJ
ap-1358	74	24	-	-	PUNCT
ap-1358	74	25	faddeev	faddeev	NOUN
ap-1358	74	26	model	model	NOUN
ap-1358	74	27	,	,	PUNCT
ap-1358	74	28	journal	journal	NOUN
ap-1358	74	29	of	of	ADP
ap-1358	74	30	high	high	ADJ
ap-1358	74	31	energy	energy	NOUN
ap-1358	74	32	physics	physics	NOUN
ap-1358	74	33	,	,	PUNCT
ap-1358	74	34	jhep11(2009)124	jhep11(2009)124	PROPN
ap-1358	74	35	.	.	PUNCT
ap-1358	75	1	[	[	X
ap-1358	75	2	2	2	NUM
ap-1358	75	3	]	]	X
ap-1358	75	4	faddeev	faddeev	PROPN
ap-1358	75	5	,	,	PUNCT
ap-1358	75	6	l.	l.	PROPN
ap-1358	75	7	d.	d.	PROPN
ap-1358	75	8	:	:	PUNCT
ap-1358	75	9	quantization	quantization	NOUN
ap-1358	75	10	of	of	ADP
ap-1358	75	11	solitons	soliton	NOUN
ap-1358	75	12	,	,	PUNCT
ap-1358	75	13	princeton	princeton	PROPN
ap-1358	75	14	preprint	preprint	NOUN
ap-1358	75	15	ias	ias	PROPN
ap-1358	75	16	print-75	print-75	PROPN
ap-1358	75	17	-	-	PUNCT
ap-1358	75	18	qs70	qs70	PROPN
ap-1358	75	19	(	(	PUNCT
ap-1358	75	20	1975	1975	NUM
ap-1358	75	21	)	)	PUNCT
ap-1358	75	22	.	.	PUNCT
ap-1358	76	1	faddeev	faddeev	PROPN
ap-1358	76	2	,	,	PUNCT
ap-1358	76	3	l.	l.	PROPN
ap-1358	76	4	d.	d.	PROPN
ap-1358	76	5	,	,	PUNCT
ap-1358	76	6	niemi	niemi	PROPN
ap-1358	76	7	,	,	PUNCT
ap-1358	76	8	a.	a.	PROPN
ap-1358	76	9	j.	j.	PROPN
ap-1358	76	10	:	:	PUNCT
ap-1358	76	11	knots	knot	NOUN
ap-1358	76	12	and	and	CCONJ
ap-1358	76	13	particles	particle	NOUN
ap-1358	76	14	,	,	PUNCT
ap-1358	76	15	nature	nature	NOUN
ap-1358	76	16	387	387	NUM
ap-1358	76	17	,	,	PUNCT
ap-1358	76	18	58	58	NUM
ap-1358	76	19	(	(	PUNCT
ap-1358	76	20	1997	1997	NUM
ap-1358	76	21	)	)	PUNCT
ap-1358	76	22	.	.	PUNCT
ap-1358	77	1	[	[	X
ap-1358	77	2	3	3	NUM
ap-1358	77	3	]	]	X
ap-1358	77	4	battye	battye	NOUN
ap-1358	77	5	,	,	PUNCT
ap-1358	77	6	r.	r.	PROPN
ap-1358	77	7	a.	a.	PROPN
ap-1358	77	8	,	,	PUNCT
ap-1358	77	9	sutcliffe	sutcliffe	PROPN
ap-1358	77	10	,	,	PUNCT
ap-1358	77	11	p.	p.	PROPN
ap-1358	77	12	m.	m.	NOUN
ap-1358	77	13	:	:	PUNCT
ap-1358	77	14	to	to	PART
ap-1358	77	15	be	be	AUX
ap-1358	77	16	or	or	CCONJ
ap-1358	77	17	knot	knot	VERB
ap-1358	77	18	to	to	PART
ap-1358	77	19	be	be	AUX
ap-1358	77	20	?	?	PUNCT
ap-1358	77	21	,	,	PUNCT
ap-1358	77	22	phys	phy	NOUN
ap-1358	77	23	.	.	PUNCT
ap-1358	78	1	rev	rev	PROPN
ap-1358	78	2	.	.	PROPN
ap-1358	78	3	lett	lett	PROPN
ap-1358	78	4	.	.	PROPN
ap-1358	79	1	81	81	NUM
ap-1358	79	2	,	,	PUNCT
ap-1358	79	3	4798	4798	NUM
ap-1358	79	4	(	(	PUNCT
ap-1358	79	5	1998	1998	NUM
ap-1358	79	6	)	)	PUNCT
ap-1358	79	7	.	.	PUNCT
ap-1358	80	1	[	[	X
ap-1358	80	2	4	4	NUM
ap-1358	80	3	]	]	X
ap-1358	80	4	hietarinta	hietarinta	NOUN
ap-1358	80	5	,	,	PUNCT
ap-1358	80	6	j.	j.	PROPN
ap-1358	80	7	,	,	PUNCT
ap-1358	80	8	salo	salo	PROPN
ap-1358	80	9	,	,	PUNCT
ap-1358	80	10	p.	p.	NOUN
ap-1358	80	11	:	:	PUNCT
ap-1358	80	12	faddeev	faddeev	NOUN
ap-1358	80	13	-	-	PUNCT
ap-1358	80	14	hopf	hopf	VERB
ap-1358	80	15	knots	knot	NOUN
ap-1358	80	16	:	:	PUNCT
ap-1358	80	17	dynamics	dynamic	NOUN
ap-1358	80	18	of	of	ADP
ap-1358	80	19	linked	link	VERB
ap-1358	80	20	un	un	PROPN
ap-1358	80	21	-	-	NOUN
ap-1358	80	22	knots	knot	NOUN
ap-1358	80	23	,	,	PUNCT
ap-1358	80	24	phys	phy	NOUN
ap-1358	80	25	.	.	PUNCT
ap-1358	81	1	lett	lett	PROPN
ap-1358	81	2	.	.	PUNCT
ap-1358	82	1	b	b	PROPN
ap-1358	82	2	451	451	NUM
ap-1358	82	3	,	,	PUNCT
ap-1358	82	4	60	60	NUM
ap-1358	82	5	(	(	PUNCT
ap-1358	82	6	1999	1999	NUM
ap-1358	82	7	)	)	PUNCT
ap-1358	82	8	.	.	PUNCT
ap-1358	83	1	[	[	X
ap-1358	83	2	5	5	NUM
ap-1358	83	3	]	]	X
ap-1358	83	4	skyrme	skyrme	PROPN
ap-1358	83	5	,	,	PUNCT
ap-1358	83	6	t.	t.	PROPN
ap-1358	83	7	h.	h.	PROPN
ap-1358	83	8	r.	r.	PROPN
ap-1358	83	9	:	:	PUNCT
ap-1358	83	10	a	a	DET
ap-1358	83	11	nonlinear	nonlinear	ADJ
ap-1358	83	12	field	field	NOUN
ap-1358	83	13	theory	theory	NOUN
ap-1358	83	14	,	,	PUNCT
ap-1358	83	15	proc	proc	PROPN
ap-1358	83	16	.	.	PUNCT
ap-1358	83	17	roy	roy	PROPN
ap-1358	83	18	.	.	PROPN
ap-1358	83	19	soc	soc	PROPN
ap-1358	83	20	.	.	PUNCT
ap-1358	84	1	lond	lond	PROPN
ap-1358	84	2	.	.	PUNCT
ap-1358	85	1	a	a	DET
ap-1358	85	2	260	260	NUM
ap-1358	85	3	,	,	PUNCT
ap-1358	85	4	127	127	NUM
ap-1358	85	5	(	(	PUNCT
ap-1358	85	6	1961	1961	NUM
ap-1358	85	7	)	)	PUNCT
ap-1358	85	8	.	.	PUNCT
ap-1358	86	1	[	[	X
ap-1358	86	2	6	6	NUM
ap-1358	86	3	]	]	SYM
ap-1358	86	4	faddeev	faddeev	PROPN
ap-1358	86	5	,	,	PUNCT
ap-1358	86	6	l.	l.	PROPN
ap-1358	86	7	d.	d.	PROPN
ap-1358	86	8	,	,	PUNCT
ap-1358	86	9	niemi	niemi	PROPN
ap-1358	86	10	,	,	PUNCT
ap-1358	86	11	a.	a.	PROPN
ap-1358	86	12	j.	j.	PROPN
ap-1358	86	13	:	:	PUNCT
ap-1358	86	14	partially	partially	ADV
ap-1358	86	15	dual	dual	ADJ
ap-1358	86	16	variables	variable	NOUN
ap-1358	86	17	in	in	ADP
ap-1358	86	18	su(2	su(2	NOUN
ap-1358	86	19	)	)	PUNCT
ap-1358	86	20	yang	yang	PROPN
ap-1358	86	21	-	-	PUNCT
ap-1358	86	22	mills	mill	NOUN
ap-1358	86	23	theory	theory	NOUN
ap-1358	86	24	,	,	PUNCT
ap-1358	86	25	phys	phy	NOUN
ap-1358	86	26	.	.	PUNCT
ap-1358	87	1	rev	rev	PROPN
ap-1358	87	2	.	.	PROPN
ap-1358	87	3	lett	lett	PROPN
ap-1358	87	4	.	.	PROPN
ap-1358	88	1	82	82	NUM
ap-1358	88	2	,	,	PUNCT
ap-1358	88	3	1624	1624	NUM
ap-1358	88	4	(	(	PUNCT
ap-1358	88	5	1999	1999	NUM
ap-1358	88	6	)	)	PUNCT
ap-1358	88	7	.	.	PUNCT
ap-1358	89	1	[	[	X
ap-1358	89	2	7	7	X
ap-1358	89	3	]	]	X
ap-1358	89	4	cho	cho	PROPN
ap-1358	89	5	,	,	PUNCT
ap-1358	89	6	y.	y.	PROPN
ap-1358	89	7	m.	m.	PROPN
ap-1358	89	8	:	:	PUNCT
ap-1358	89	9	a	a	DET
ap-1358	89	10	restricted	restricted	ADJ
ap-1358	89	11	gauge	gauge	NOUN
ap-1358	89	12	theory	theory	NOUN
ap-1358	89	13	,	,	PUNCT
ap-1358	89	14	phys	phy	NOUN
ap-1358	89	15	.	.	PUNCT
ap-1358	90	1	rev	rev	PROPN
ap-1358	90	2	.	.	PUNCT
ap-1358	91	1	d	d	X
ap-1358	91	2	21	21	NUM
ap-1358	91	3	,	,	PUNCT
ap-1358	91	4	1080	1080	NUM
ap-1358	91	5	(	(	PUNCT
ap-1358	91	6	1980	1980	NUM
ap-1358	91	7	)	)	PUNCT
ap-1358	91	8	.	.	PUNCT
ap-1358	92	1	cho	cho	PROPN
ap-1358	92	2	,	,	PUNCT
ap-1358	92	3	y.	y.	PROPN
ap-1358	92	4	m.	m.	PROPN
ap-1358	92	5	:	:	PUNCT
ap-1358	92	6	extended	extended	ADJ
ap-1358	92	7	gauge	gauge	NOUN
ap-1358	92	8	theory	theory	NOUN
ap-1358	92	9	and	and	CCONJ
ap-1358	92	10	its	its	PRON
ap-1358	92	11	mass	mass	NOUN
ap-1358	92	12	spectrum	spectrum	NOUN
ap-1358	92	13	,	,	PUNCT
ap-1358	92	14	phys	phy	NOUN
ap-1358	92	15	.	.	PUNCT
ap-1358	92	16	rev	rev	PROPN
ap-1358	92	17	.	.	PUNCT
ap-1358	93	1	d	d	X
ap-1358	93	2	23	23	NUM
ap-1358	93	3	,	,	PUNCT
ap-1358	93	4	2415	2415	NUM
ap-1358	93	5	(	(	PUNCT
ap-1358	93	6	1981	1981	NUM
ap-1358	93	7	)	)	PUNCT
ap-1358	93	8	.	.	PUNCT
ap-1358	94	1	[	[	X
ap-1358	94	2	8	8	NUM
ap-1358	94	3	]	]	X
ap-1358	94	4	shabanov	shabanov	NOUN
ap-1358	94	5	,	,	PUNCT
ap-1358	94	6	s.	s.	PROPN
ap-1358	94	7	v.	v.	PROPN
ap-1358	94	8	:	:	PUNCT
ap-1358	94	9	an	an	DET
ap-1358	94	10	effective	effective	ADJ
ap-1358	94	11	action	action	NOUN
ap-1358	94	12	for	for	ADP
ap-1358	94	13	monopoles	monopole	NOUN
ap-1358	94	14	and	and	CCONJ
ap-1358	94	15	knot	knot	ADJ
ap-1358	94	16	solitons	soliton	NOUN
ap-1358	94	17	in	in	ADP
ap-1358	94	18	yang	yang	PROPN
ap-1358	94	19	-	-	PUNCT
ap-1358	94	20	mills	mill	NOUN
ap-1358	94	21	theory	theory	NOUN
ap-1358	94	22	,	,	PUNCT
ap-1358	94	23	phys	phy	NOUN
ap-1358	94	24	.	.	PUNCT
ap-1358	95	1	lett	lett	PROPN
ap-1358	95	2	.	.	PUNCT
ap-1358	96	1	b	b	PROPN
ap-1358	96	2	458	458	NUM
ap-1358	96	3	,	,	PUNCT
ap-1358	96	4	322	322	NUM
ap-1358	96	5	(	(	PUNCT
ap-1358	96	6	1999	1999	NUM
ap-1358	96	7	)	)	PUNCT
ap-1358	96	8	.	.	PUNCT
ap-1358	97	1	[	[	X
ap-1358	97	2	9	9	NUM
ap-1358	97	3	]	]	SYM
ap-1358	97	4	gies	gy	NOUN
ap-1358	97	5	,	,	PUNCT
ap-1358	97	6	h.	h.	PROPN
ap-1358	97	7	:	:	PUNCT
ap-1358	97	8	wilsonian	wilsonian	ADJ
ap-1358	97	9	effective	effective	ADJ
ap-1358	97	10	action	action	NOUN
ap-1358	97	11	for	for	ADP
ap-1358	97	12	su(2	su(2	NOUN
ap-1358	97	13	)	)	PUNCT
ap-1358	97	14	yang	yang	PROPN
ap-1358	97	15	-	-	PUNCT
ap-1358	97	16	mills	mill	NOUN
ap-1358	97	17	theory	theory	NOUN
ap-1358	97	18	with	with	ADP
ap-1358	97	19	cho	cho	NOUN
ap-1358	97	20	-	-	PUNCT
ap-1358	97	21	faddeev	faddeev	NOUN
ap-1358	97	22	-	-	PUNCT
ap-1358	97	23	niemishabanov	niemishabanov	NOUN
ap-1358	97	24	decomposition	decomposition	NOUN
ap-1358	97	25	,	,	PUNCT
ap-1358	97	26	phys	phy	NOUN
ap-1358	97	27	.	.	PUNCT
ap-1358	97	28	rev	rev	PROPN
ap-1358	97	29	.	.	PUNCT
ap-1358	98	1	d	d	ADP
ap-1358	98	2	63	63	NUM
ap-1358	98	3	,	,	PUNCT
ap-1358	98	4	125023	125023	NUM
ap-1358	98	5	(	(	PUNCT
ap-1358	98	6	2001	2001	NUM
ap-1358	98	7	)	)	PUNCT
ap-1358	98	8	.	.	PUNCT
ap-1358	99	1	[	[	X
ap-1358	99	2	10	10	NUM
ap-1358	99	3	]	]	X
ap-1358	99	4	kondo	kondo	PROPN
ap-1358	99	5	,	,	PUNCT
ap-1358	99	6	k.	k.	PROPN
ap-1358	99	7	i.	i.	PROPN
ap-1358	99	8	,	,	PUNCT
ap-1358	99	9	ono	ono	PROPN
ap-1358	99	10	,	,	PUNCT
ap-1358	99	11	a.	a.	PROPN
ap-1358	99	12	,	,	PUNCT
ap-1358	99	13	shibata	shibata	PROPN
ap-1358	99	14	,	,	PUNCT
ap-1358	99	15	a.	a.	PROPN
ap-1358	99	16	,	,	PUNCT
ap-1358	99	17	shinohara	shinohara	PROPN
ap-1358	99	18	,	,	PUNCT
ap-1358	99	19	t.	t.	PROPN
ap-1358	99	20	,	,	PUNCT
ap-1358	99	21	murakami	murakami	NOUN
ap-1358	99	22	,	,	PUNCT
ap-1358	99	23	t.	t.	PROPN
ap-1358	99	24	:	:	PUNCT
ap-1358	99	25	glueball	glueball	NOUN
ap-1358	99	26	mass	mass	NOUN
ap-1358	99	27	from	from	ADP
ap-1358	99	28	quantized	quantize	VERB
ap-1358	99	29	knot	knot	NOUN
ap-1358	99	30	solitons	soliton	NOUN
ap-1358	99	31	and	and	CCONJ
ap-1358	99	32	gauge	gauge	NOUN
ap-1358	99	33	-	-	PUNCT
ap-1358	99	34	invariant	invariant	ADJ
ap-1358	99	35	gluon	gluon	NOUN
ap-1358	99	36	j.	j.	PROPN
ap-1358	99	37	phys	phys	PROPN
ap-1358	99	38	.	.	PUNCT
ap-1358	100	1	a	a	DET
ap-1358	100	2	39	39	NUM
ap-1358	100	3	,	,	PUNCT
ap-1358	100	4	13767	13767	NUM
ap-1358	100	5	(	(	PUNCT
ap-1358	100	6	2006	2006	NUM
ap-1358	100	7	)	)	PUNCT
ap-1358	100	8	.	.	PUNCT
ap-1358	101	1	[	[	X
ap-1358	101	2	11	11	NUM
ap-1358	101	3	]	]	X
ap-1358	101	4	krusch	krusch	PROPN
ap-1358	101	5	,	,	PUNCT
ap-1358	101	6	s.	s.	PROPN
ap-1358	101	7	,	,	PUNCT
ap-1358	101	8	speight	speight	PROPN
ap-1358	101	9	,	,	PUNCT
ap-1358	101	10	j.	j.	PROPN
ap-1358	101	11	m.	m.	PROPN
ap-1358	101	12	:	:	PUNCT
ap-1358	101	13	fermionic	fermionic	NOUN
ap-1358	101	14	quantization	quantization	NOUN
ap-1358	101	15	of	of	ADP
ap-1358	101	16	hopf	hopf	ADJ
ap-1358	101	17	solitons	soliton	NOUN
ap-1358	101	18	,	,	PUNCT
ap-1358	101	19	commun	commun	PROPN
ap-1358	101	20	.	.	PUNCT
ap-1358	101	21	math	math	NOUN
ap-1358	101	22	.	.	PUNCT
ap-1358	102	1	phys	phy	NOUN
ap-1358	102	2	.	.	PUNCT
ap-1358	103	1	264	264	NUM
ap-1358	103	2	,	,	PUNCT
ap-1358	103	3	391	391	NUM
ap-1358	103	4	(	(	PUNCT
ap-1358	103	5	2006	2006	NUM
ap-1358	103	6	)	)	PUNCT
ap-1358	103	7	.	.	PUNCT
ap-1358	104	1	[	[	X
ap-1358	104	2	12	12	NUM
ap-1358	104	3	]	]	X
ap-1358	104	4	morningstar	morningstar	PROPN
ap-1358	104	5	,	,	PUNCT
ap-1358	104	6	c.	c.	PROPN
ap-1358	104	7	j.	j.	PROPN
ap-1358	104	8	,	,	PUNCT
ap-1358	104	9	peardon	peardon	PROPN
ap-1358	104	10	,	,	PUNCT
ap-1358	104	11	m.	m.	NOUN
ap-1358	104	12	j.	j.	PROPN
ap-1358	104	13	:	:	PUNCT
ap-1358	104	14	the	the	DET
ap-1358	104	15	glueball	glueball	NOUN
ap-1358	104	16	spectrum	spectrum	VERB
ap-1358	104	17	from	from	ADP
ap-1358	104	18	an	an	DET
ap-1358	104	19	anisotropic	anisotropic	NOUN
ap-1358	104	20	lattice	lattice	NOUN
ap-1358	104	21	study	study	NOUN
ap-1358	104	22	,	,	PUNCT
ap-1358	104	23	phys	phy	NOUN
ap-1358	104	24	.	.	PUNCT
ap-1358	105	1	rev	rev	PROPN
ap-1358	105	2	.	.	PUNCT
ap-1358	106	1	d	d	PROPN
ap-1358	106	2	60	60	NUM
ap-1358	106	3	,	,	PUNCT
ap-1358	106	4	034509	034509	NUM
ap-1358	106	5	(	(	PUNCT
ap-1358	106	6	1999	1999	NUM
ap-1358	106	7	)	)	PUNCT
ap-1358	106	8	.	.	PUNCT
ap-1358	107	1	about	about	ADP
ap-1358	107	2	the	the	DET
ap-1358	107	3	author	author	NOUN
ap-1358	107	4	nobuyuki	nobuyuki	NOUN
ap-1358	107	5	sawado	sawado	NOUN
ap-1358	107	6	is	be	AUX
ap-1358	107	7	currently	currently	ADV
ap-1358	107	8	working	work	VERB
ap-1358	107	9	as	as	ADP
ap-1358	107	10	an	an	DET
ap-1358	107	11	associate	associate	ADJ
ap-1358	107	12	professor	professor	NOUN
ap-1358	107	13	at	at	ADP
ap-1358	107	14	the	the	DET
ap-1358	107	15	institute	institute	PROPN
ap-1358	107	16	of	of	ADP
ap-1358	107	17	science	science	NOUN
ap-1358	107	18	and	and	CCONJ
ap-1358	107	19	technology	technology	NOUN
ap-1358	107	20	,	,	PUNCT
ap-1358	107	21	department	department	NOUN
ap-1358	107	22	of	of	ADP
ap-1358	107	23	physics	physics	PROPN
ap-1358	107	24	at	at	ADP
ap-1358	107	25	tokyo	tokyo	PROPN
ap-1358	107	26	university	university	PROPN
ap-1358	107	27	of	of	ADP
ap-1358	107	28	science	science	NOUN
ap-1358	107	29	.	.	PUNCT
ap-1358	108	1	his	his	PRON
ap-1358	108	2	research	research	NOUN
ap-1358	108	3	interest	interest	NOUN
ap-1358	108	4	is	be	AUX
ap-1358	108	5	in	in	ADP
ap-1358	108	6	topological	topological	ADJ
ap-1358	108	7	solitons	soliton	NOUN
ap-1358	108	8	and	and	CCONJ
ap-1358	108	9	related	related	ADJ
ap-1358	108	10	areas	area	NOUN
ap-1358	108	11	,	,	PUNCT
ap-1358	108	12	such	such	ADJ
ap-1358	108	13	as	as	ADP
ap-1358	108	14	effective	effective	ADJ
ap-1358	108	15	models	model	NOUN
ap-1358	108	16	of	of	ADP
ap-1358	108	17	qcd	qcd	NOUN
ap-1358	108	18	,	,	PUNCT
ap-1358	108	19	brane	brane	ADJ
ap-1358	108	20	world	world	NOUN
ap-1358	108	21	scenarios	scenario	NOUN
ap-1358	108	22	and	and	CCONJ
ap-1358	108	23	some	some	DET
ap-1358	108	24	topics	topic	NOUN
ap-1358	108	25	in	in	ADP
ap-1358	108	26	condensed	condense	VERB
ap-1358	108	27	matter	matter	NOUN
ap-1358	108	28	physics	physics	PROPN
ap-1358	108	29	.	.	PUNCT
ap-1358	109	1	luiz	luiz	PROPN
ap-1358	109	2	agostinho	agostinho	PROPN
ap-1358	109	3	ferreira	ferreira	PROPN
ap-1358	109	4	institute	institute	PROPN
ap-1358	109	5	of	of	ADP
ap-1358	109	6	physics	physics	PROPN
ap-1358	109	7	of	of	ADP
ap-1358	109	8	são	são	PROPN
ap-1358	109	9	carlos	carlos	PROPN
ap-1358	109	10	ifsc	ifsc	PROPN
ap-1358	109	11	/	/	SYM
ap-1358	109	12	usp	usp	PROPN
ap-1358	109	13	,	,	PUNCT
ap-1358	109	14	university	university	NOUN
ap-1358	109	15	of	of	ADP
ap-1358	109	16	são	são	PROPN
ap-1358	109	17	paulo	paulo	PROPN
ap-1358	109	18	–	–	PUNCT
ap-1358	109	19	usp	usp	PROPN
ap-1358	109	20	caixa	caixa	PROPN
ap-1358	109	21	postal	postal	PROPN
ap-1358	109	22	369	369	NUM
ap-1358	109	23	,	,	PUNCT
ap-1358	109	24	cep	cep	ADV
ap-1358	109	25	13560	13560	NUM
ap-1358	109	26	-	-	SYM
ap-1358	109	27	970	970	NUM
ap-1358	109	28	,	,	PUNCT
ap-1358	109	29	são	são	PROPN
ap-1358	109	30	carlos	carlos	PROPN
ap-1358	109	31	-	-	PUNCT
ap-1358	109	32	sp	sp	PROPN
ap-1358	109	33	,	,	PUNCT
ap-1358	109	34	brazil	brazil	PROPN
ap-1358	109	35	satoru	satoru	PROPN
ap-1358	109	36	kato	kato	PROPN
ap-1358	109	37	department	department	PROPN
ap-1358	109	38	of	of	ADP
ap-1358	109	39	physics	physics	PROPN
ap-1358	109	40	institute	institute	PROPN
ap-1358	109	41	of	of	ADP
ap-1358	109	42	science	science	PROPN
ap-1358	109	43	and	and	CCONJ
ap-1358	109	44	technology	technology	NOUN
ap-1358	109	45	tokyo	tokyo	PROPN
ap-1358	109	46	university	university	PROPN
ap-1358	109	47	of	of	ADP
ap-1358	109	48	science	science	PROPN
ap-1358	109	49	,	,	PUNCT
ap-1358	109	50	noda	noda	PROPN
ap-1358	109	51	,	,	PUNCT
ap-1358	109	52	chiba	chiba	PROPN
ap-1358	109	53	278	278	NUM
ap-1358	109	54	-	-	SYM
ap-1358	109	55	8510	8510	NUM
ap-1358	109	56	,	,	PUNCT
ap-1358	109	57	japan	japan	PROPN
ap-1358	109	58	nobuyuki	nobuyuki	PROPN
ap-1358	109	59	sawado	sawado	PROPN
ap-1358	109	60	e	e	NOUN
ap-1358	109	61	-	-	NOUN
ap-1358	109	62	mail	mail	NOUN
ap-1358	109	63	:	:	PUNCT
ap-1358	109	64	sawado@ph.noda.tus.ac.jp	sawado@ph.noda.tus.ac.jp	PROPN
ap-1358	109	65	department	department	PROPN
ap-1358	109	66	of	of	ADP
ap-1358	109	67	physics	physics	PROPN
ap-1358	109	68	institute	institute	PROPN
ap-1358	109	69	of	of	ADP
ap-1358	109	70	science	science	PROPN
ap-1358	109	71	and	and	CCONJ
ap-1358	109	72	technology	technology	NOUN
ap-1358	109	73	tokyo	tokyo	PROPN
ap-1358	109	74	university	university	PROPN
ap-1358	109	75	of	of	ADP
ap-1358	109	76	science	science	PROPN
ap-1358	109	77	noda	noda	PROPN
ap-1358	109	78	,	,	PUNCT
ap-1358	109	79	chiba	chiba	PROPN
ap-1358	109	80	278	278	NUM
ap-1358	109	81	-	-	SYM
ap-1358	109	82	8510	8510	NUM
ap-1358	109	83	,	,	PUNCT
ap-1358	109	84	japan	japan	PROPN
ap-1358	109	85	kouichi	kouichi	PROPN
ap-1358	109	86	toda	toda	PROPN
ap-1358	109	87	department	department	PROPN
ap-1358	109	88	of	of	ADP
ap-1358	109	89	mathematical	mathematical	ADJ
ap-1358	109	90	physics	physics	PROPN
ap-1358	109	91	toyama	toyama	PROPN
ap-1358	109	92	prefectural	prefectural	PROPN
ap-1358	109	93	university	university	PROPN
ap-1358	109	94	kurokawa	kurokawa	PROPN
ap-1358	109	95	5180	5180	NUM
ap-1358	109	96	,	,	PUNCT
ap-1358	109	97	imizu	imizu	NOUN
ap-1358	109	98	,	,	PUNCT
ap-1358	109	99	toyama	toyama	PROPN
ap-1358	109	100	,	,	PUNCT
ap-1358	109	101	939	939	NUM
ap-1358	109	102	-	-	SYM
ap-1358	109	103	0398	0398	NUM
ap-1358	109	104	,	,	PUNCT
ap-1358	109	105	japan	japan	PROPN
ap-1358	109	106	and	and	CCONJ
ap-1358	109	107	research	research	NOUN
ap-1358	109	108	and	and	CCONJ
ap-1358	109	109	education	education	NOUN
ap-1358	109	110	center	center	NOUN
ap-1358	109	111	for	for	ADP
ap-1358	109	112	natural	natural	ADJ
ap-1358	109	113	sciences	science	NOUN
ap-1358	109	114	hiyoshi	hiyoshi	ADJ
ap-1358	109	115	campus	campus	PROPN
ap-1358	109	116	,	,	PUNCT
ap-1358	109	117	keio	keio	PROPN
ap-1358	109	118	university	university	PROPN
ap-1358	109	119	4	4	NUM
ap-1358	109	120	-	-	SYM
ap-1358	109	121	1	1	NUM
ap-1358	109	122	-	-	SYM
ap-1358	109	123	1	1	NUM
ap-1358	109	124	hiyoshi	hiyoshi	ADJ
ap-1358	109	125	,	,	PUNCT
ap-1358	109	126	kouhoku	kouhoku	PROPN
ap-1358	109	127	-	-	PUNCT
ap-1358	109	128	ku	ku	PROPN
ap-1358	109	129	,	,	PUNCT
ap-1358	109	130	yokohama	yokohama	PROPN
ap-1358	109	131	,	,	PUNCT
ap-1358	109	132	223	223	NUM
ap-1358	109	133	-	-	SYM
ap-1358	109	134	8521	8521	NUM
ap-1358	109	135	,	,	PUNCT
ap-1358	109	136	japan	japan	PROPN
ap-1358	109	137	49	49	NUM