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Algebraic Bethe ansatz for the Sl(2) Gaudin model with boundary

dc.contributor.authorCirilo Antonio, N.
dc.contributor.authorManojlović, Nenad
dc.contributor.authorRagoucy, E.
dc.contributor.authorSalom, I.
dc.date.accessioned2018-12-07T14:52:28Z
dc.date.available2018-12-07T14:52:28Z
dc.date.issued2015-04
dc.description.abstractFollowing Sklyanin's proposal in the periodic case, we derive the generating function of the Gaudin Hamiltonians with boundary terms. Our derivation is based on the quasi-classical expansion of the linear combination of the transfer matrix of the XXX Heisenberg spin chain and the central element, the so-called Sklyanin determinant. The corresponding Gaudin Hamiltonians with boundary terms are obtained as the residues of the generating function. By defining the appropriate Bethe vectors which yield strikingly simple off shell action of the generating function, we fully implement the algebraic Bethe ansatz, obtaining the spectrum of the generating function and the corresponding Bethe equations. (C) 2015 Published by Elsevier B.V.
dc.description.sponsorshipSerbian Ministry of Science and Technological Development [ON 171031]; FCT [SFRH/BSAB/1366/2013]
dc.description.versioninfo:eu-repo/semantics/publishedVersion
dc.identifier.doi10.1016/j.nuclphysb.2015.02.011
dc.identifier.issn0550-3213
dc.identifier.issn1873-1562
dc.identifier.urihttp://hdl.handle.net/10400.1/11090
dc.language.isoeng
dc.peerreviewedyes
dc.publisherElsevier Science Bv
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectKnizhnik zamolodchikov equation
dc.subjectSpin chains
dc.subjectXxz spin
dc.subjectSystems
dc.subjectMagnets
dc.subjectTerms
dc.titleAlgebraic Bethe ansatz for the Sl(2) Gaudin model with boundary
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage331
oaire.citation.startPage305
oaire.citation.titleNuclear Physics B
oaire.citation.volume893
person.familyNameManojlović
person.givenNameNenad
person.identifier220839
person.identifier.ciencia-idE017-D84B-6794
person.identifier.orcid0000-0002-1054-3063
person.identifier.scopus-author-id7004217507
rcaap.rightsopenAccess
rcaap.typearticle
relation.isAuthorOfPublicationc9980a48-7be4-4c89-a3bf-0ea6da8c0d35
relation.isAuthorOfPublication.latestForDiscoveryc9980a48-7be4-4c89-a3bf-0ea6da8c0d35

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