Why scalar products in the algebraic Bethe ansatz have determinant representation

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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Bibliographic Details
Main Authors: S. Belliard, N. A. Slavnov
Format: Article
Language:English
Published: SpringerOpen 2019-10-01
Series:Journal of High Energy Physics
Subjects:
Integrable Field Theories
Lattice Integrable Models
Online Access:http://link.springer.com/article/10.1007/JHEP10(2019)103
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spelling doaj-cd80c64473b0474c848c90829c14f2382020-11-25T02:45:43ZengSpringerOpenJournal of High Energy Physics1029-84792019-10-0120191011710.1007/JHEP10(2019)103Why scalar products in the algebraic Bethe ansatz have determinant representationS. Belliard0N. A. Slavnov1Institut Denis-Poisson, Université de Tours, Université d’OrléansSteklov Mathematical Institute of Russian Academy of SciencesAbstract 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.http://link.springer.com/article/10.1007/JHEP10(2019)103Integrable Field TheoriesLattice Integrable Models
collection DOAJ
language English
format Article
sources DOAJ
author S. Belliard
N. A. Slavnov
spellingShingle S. Belliard
N. A. Slavnov
Why scalar products in the algebraic Bethe ansatz have determinant representation
Journal of High Energy Physics
Integrable Field Theories
Lattice Integrable Models
author_facet S. Belliard
N. A. Slavnov
author_sort S. Belliard
title Why scalar products in the algebraic Bethe ansatz have determinant representation
title_short Why scalar products in the algebraic Bethe ansatz have determinant representation
title_full Why scalar products in the algebraic Bethe ansatz have determinant representation
title_fullStr Why scalar products in the algebraic Bethe ansatz have determinant representation
title_full_unstemmed Why scalar products in the algebraic Bethe ansatz have determinant representation
title_sort why scalar products in the algebraic bethe ansatz have determinant representation
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2019-10-01
description 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.
topic Integrable Field Theories
Lattice Integrable Models
url http://link.springer.com/article/10.1007/JHEP10(2019)103
work_keys_str_mv AT sbelliard whyscalarproductsinthealgebraicbetheansatzhavedeterminantrepresentation
AT naslavnov whyscalarproductsinthealgebraicbetheansatzhavedeterminantrepresentation
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