On zero-remainder conditions in the Bethe ansatz

On zero-remainder conditions in the Bethe ansatz

Abstract We prove that physical solutions to the Heisenberg spin chain Bethe ansatz equations are exactly obtained by imposing two zero-remainder conditions. This bridges the gap between different criteria, yielding an alternative proof of a recently devised algorithm based on QQ relations, and solv...

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Bibliographic Details
Main Authors: Etienne Granet, Jesper Lykke Jacobsen
Format: Article
Language:English
Published: SpringerOpen 2020-03-01
Series:Journal of High Energy Physics
Subjects:
Bethe Ansatz
Lattice Integrable Models
Online Access:http://link.springer.com/article/10.1007/JHEP03(2020)178
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spelling doaj-c9d9b579bdd9430cbb384f6a52bf42962020-11-25T02:58:20ZengSpringerOpenJournal of High Energy Physics1029-84792020-03-012020311510.1007/JHEP03(2020)178On zero-remainder conditions in the Bethe ansatzEtienne Granet0Jesper Lykke Jacobsen1Institut de Physique Théorique, Paris Saclay, CEA, CNRSInstitut de Physique Théorique, Paris Saclay, CEA, CNRSAbstract We prove that physical solutions to the Heisenberg spin chain Bethe ansatz equations are exactly obtained by imposing two zero-remainder conditions. This bridges the gap between different criteria, yielding an alternative proof of a recently devised algorithm based on QQ relations, and solving its minimality issue.http://link.springer.com/article/10.1007/JHEP03(2020)178Bethe AnsatzLattice Integrable Models
collection DOAJ
language English
format Article
sources DOAJ
author Etienne Granet
Jesper Lykke Jacobsen
spellingShingle Etienne Granet
Jesper Lykke Jacobsen
On zero-remainder conditions in the Bethe ansatz
Journal of High Energy Physics
Bethe Ansatz
Lattice Integrable Models
author_facet Etienne Granet
Jesper Lykke Jacobsen
author_sort Etienne Granet
title On zero-remainder conditions in the Bethe ansatz
title_short On zero-remainder conditions in the Bethe ansatz
title_full On zero-remainder conditions in the Bethe ansatz
title_fullStr On zero-remainder conditions in the Bethe ansatz
title_full_unstemmed On zero-remainder conditions in the Bethe ansatz
title_sort on zero-remainder conditions in the bethe ansatz
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2020-03-01
description Abstract We prove that physical solutions to the Heisenberg spin chain Bethe ansatz equations are exactly obtained by imposing two zero-remainder conditions. This bridges the gap between different criteria, yielding an alternative proof of a recently devised algorithm based on QQ relations, and solving its minimality issue.
topic Bethe Ansatz
Lattice Integrable Models
url http://link.springer.com/article/10.1007/JHEP03(2020)178
work_keys_str_mv AT etiennegranet onzeroremainderconditionsinthebetheansatz
AT jesperlykkejacobsen onzeroremainderconditionsinthebetheansatz
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