Why scalar products in the algebraic Bethe ansatz have determinant representation

Abstract We show that the scalar products of on-shell and off-shell Bethe vectors in the algebralic Bethe ansatz solvable models satisfy a system of linear equations. We find solutions to this system for a wide class of integrable models. We also apply our method to the XXX spin chain with broken U(...
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Autor*in:	Belliard, S. [verfasserIn] Slavnov, N. A.

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2019

Schlagwörter:	Integrable Field Theories Lattice Integrable Models

Anmerkung:	© The Author(s) 2019

Übergeordnetes Werk:	Enthalten in: Journal of high energy physics - Berlin : Springer, 1997, 2019(2019), 10 vom: 08. Okt.
Übergeordnetes Werk:	volume:2019 ; year:2019 ; number:10 ; day:08 ; month:10

Links:	Volltext

DOI / URN:	10.1007/JHEP10(2019)103

Katalog-ID:	SPR030570700

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allfields	10.1007/JHEP10(2019)103 doi (DE-627)SPR030570700 (SPR)JHEP10(2019)103-e DE-627 ger DE-627 rakwb eng Belliard, S. verfasserin aut Why scalar products in the algebraic Bethe ansatz have determinant representation 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2019 Abstract We show that the scalar products of on-shell and off-shell Bethe vectors in the algebralic Bethe ansatz solvable models satisfy a system of linear equations. We find solutions to this system for a wide class of integrable models. We also apply our method to the XXX spin chain with broken U(l) symmetry. Integrable Field Theories (dpeaa)DE-He213 Lattice Integrable Models (dpeaa)DE-He213 Slavnov, N. A. aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2019(2019), 10 vom: 08. Okt. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2019 year:2019 number:10 day:08 month:10 https://dx.doi.org/10.1007/JHEP10(2019)103 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2019 2019 10 08 10
spelling	10.1007/JHEP10(2019)103 doi (DE-627)SPR030570700 (SPR)JHEP10(2019)103-e DE-627 ger DE-627 rakwb eng Belliard, S. verfasserin aut Why scalar products in the algebraic Bethe ansatz have determinant representation 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2019 Abstract We show that the scalar products of on-shell and off-shell Bethe vectors in the algebralic Bethe ansatz solvable models satisfy a system of linear equations. We find solutions to this system for a wide class of integrable models. We also apply our method to the XXX spin chain with broken U(l) symmetry. Integrable Field Theories (dpeaa)DE-He213 Lattice Integrable Models (dpeaa)DE-He213 Slavnov, N. A. aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2019(2019), 10 vom: 08. Okt. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2019 year:2019 number:10 day:08 month:10 https://dx.doi.org/10.1007/JHEP10(2019)103 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2019 2019 10 08 10
allfields_unstemmed	10.1007/JHEP10(2019)103 doi (DE-627)SPR030570700 (SPR)JHEP10(2019)103-e DE-627 ger DE-627 rakwb eng Belliard, S. verfasserin aut Why scalar products in the algebraic Bethe ansatz have determinant representation 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2019 Abstract We show that the scalar products of on-shell and off-shell Bethe vectors in the algebralic Bethe ansatz solvable models satisfy a system of linear equations. We find solutions to this system for a wide class of integrable models. We also apply our method to the XXX spin chain with broken U(l) symmetry. Integrable Field Theories (dpeaa)DE-He213 Lattice Integrable Models (dpeaa)DE-He213 Slavnov, N. A. aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2019(2019), 10 vom: 08. Okt. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2019 year:2019 number:10 day:08 month:10 https://dx.doi.org/10.1007/JHEP10(2019)103 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2019 2019 10 08 10
allfieldsGer	10.1007/JHEP10(2019)103 doi (DE-627)SPR030570700 (SPR)JHEP10(2019)103-e DE-627 ger DE-627 rakwb eng Belliard, S. verfasserin aut Why scalar products in the algebraic Bethe ansatz have determinant representation 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2019 Abstract We show that the scalar products of on-shell and off-shell Bethe vectors in the algebralic Bethe ansatz solvable models satisfy a system of linear equations. We find solutions to this system for a wide class of integrable models. We also apply our method to the XXX spin chain with broken U(l) symmetry. Integrable Field Theories (dpeaa)DE-He213 Lattice Integrable Models (dpeaa)DE-He213 Slavnov, N. A. aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2019(2019), 10 vom: 08. Okt. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2019 year:2019 number:10 day:08 month:10 https://dx.doi.org/10.1007/JHEP10(2019)103 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2019 2019 10 08 10
allfieldsSound	10.1007/JHEP10(2019)103 doi (DE-627)SPR030570700 (SPR)JHEP10(2019)103-e DE-627 ger DE-627 rakwb eng Belliard, S. verfasserin aut Why scalar products in the algebraic Bethe ansatz have determinant representation 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2019 Abstract We show that the scalar products of on-shell and off-shell Bethe vectors in the algebralic Bethe ansatz solvable models satisfy a system of linear equations. We find solutions to this system for a wide class of integrable models. We also apply our method to the XXX spin chain with broken U(l) symmetry. Integrable Field Theories (dpeaa)DE-He213 Lattice Integrable Models (dpeaa)DE-He213 Slavnov, N. A. aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2019(2019), 10 vom: 08. Okt. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2019 year:2019 number:10 day:08 month:10 https://dx.doi.org/10.1007/JHEP10(2019)103 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2019 2019 10 08 10
language	English
source	Enthalten in Journal of high energy physics 2019(2019), 10 vom: 08. Okt. volume:2019 year:2019 number:10 day:08 month:10
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spellingShingle	Belliard, S. misc Integrable Field Theories misc Lattice Integrable Models Why scalar products in the algebraic Bethe ansatz have determinant representation
authorStr	Belliard, S.
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topic_title	Why scalar products in the algebraic Bethe ansatz have determinant representation Integrable Field Theories (dpeaa)DE-He213 Lattice Integrable Models (dpeaa)DE-He213
topic	misc Integrable Field Theories misc Lattice Integrable Models
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title	Why scalar products in the algebraic Bethe ansatz have determinant representation
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title_full	Why scalar products in the algebraic Bethe ansatz have determinant representation
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author_browse	Belliard, S. Slavnov, N. A.
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doi_str_mv	10.1007/JHEP10(2019)103
title_sort	why scalar products in the algebraic bethe ansatz have determinant representation
title_auth	Why scalar products in the algebraic Bethe ansatz have determinant representation
abstract	Abstract We show that the scalar products of on-shell and off-shell Bethe vectors in the algebralic Bethe ansatz solvable models satisfy a system of linear equations. We find solutions to this system for a wide class of integrable models. We also apply our method to the XXX spin chain with broken U(l) symmetry. © The Author(s) 2019
abstractGer	Abstract We show that the scalar products of on-shell and off-shell Bethe vectors in the algebralic Bethe ansatz solvable models satisfy a system of linear equations. We find solutions to this system for a wide class of integrable models. We also apply our method to the XXX spin chain with broken U(l) symmetry. © The Author(s) 2019
abstract_unstemmed	Abstract We show that the scalar products of on-shell and off-shell Bethe vectors in the algebralic Bethe ansatz solvable models satisfy a system of linear equations. We find solutions to this system for a wide class of integrable models. We also apply our method to the XXX spin chain with broken U(l) symmetry. © The Author(s) 2019
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title_short	Why scalar products in the algebraic Bethe ansatz have determinant representation
url	https://dx.doi.org/10.1007/JHEP10(2019)103
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up_date	2024-07-03T18:38:33.038Z
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