Cylinder partition function of the 6-vertex model from algebraic geometry

We compute the exact partition function of the isotropic 6-vertex model on a cylinder geometry with free boundary conditions, for lattices of intermediate size, using Bethe ansatz and algebraic geometry. We perform the computations in both the open and closed channels. We also consider the partial t...

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Detalles Bibliográficos
Autores principales: Bajnok, Zoltan, Jacobsen, Jesper Lykke, Jiang, Yunfeng, Nepomechie, Rafael I., Zhang, Yang
Lenguaje:eng
Publicado: 2020
Materias:
cond-mat.stat-mech
hep-th
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1007/JHEP06(2020)169
http://cds.cern.ch/record/2711363
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author Bajnok, Zoltan
Jacobsen, Jesper Lykke
Jiang, Yunfeng
Nepomechie, Rafael I.
Zhang, Yang
author_facet Bajnok, Zoltan
Jacobsen, Jesper Lykke
Jiang, Yunfeng
Nepomechie, Rafael I.
Zhang, Yang
author_sort Bajnok, Zoltan
collection CERN
description We compute the exact partition function of the isotropic 6-vertex model on a cylinder geometry with free boundary conditions, for lattices of intermediate size, using Bethe ansatz and algebraic geometry. We perform the computations in both the open and closed channels. We also consider the partial thermodynamic limits, whereby in the open (closed) channel, the open (closed) direction is kept small while the other direction becomes large. We compute the zeros of the partition function in the two partial thermodynamic limits, and compare with the condensation curves.
id cern-2711363
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2020
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spelling cern-27113632023-10-04T06:52:05Zdoi:10.1007/JHEP06(2020)169http://cds.cern.ch/record/2711363engBajnok, ZoltanJacobsen, Jesper LykkeJiang, YunfengNepomechie, Rafael I.Zhang, YangCylinder partition function of the 6-vertex model from algebraic geometrycond-mat.stat-mechhep-thParticle Physics - TheoryWe compute the exact partition function of the isotropic 6-vertex model on a cylinder geometry with free boundary conditions, for lattices of intermediate size, using Bethe ansatz and algebraic geometry. We perform the computations in both the open and closed channels. We also consider the partial thermodynamic limits, whereby in the open (closed) channel, the open (closed) direction is kept small while the other direction becomes large. We compute the zeros of the partition function in the two partial thermodynamic limits, and compare with the condensation curves.arXiv:2002.09019CERN-TH-2020-019UMTG-303USTC-ICTS/PCFT-20-04oai:cds.cern.ch:27113632020-02-20
spellingShingle cond-mat.stat-mech
hep-th
Particle Physics - Theory
Bajnok, Zoltan
Jacobsen, Jesper Lykke
Jiang, Yunfeng
Nepomechie, Rafael I.
Zhang, Yang
Cylinder partition function of the 6-vertex model from algebraic geometry
title Cylinder partition function of the 6-vertex model from algebraic geometry
title_full Cylinder partition function of the 6-vertex model from algebraic geometry
title_fullStr Cylinder partition function of the 6-vertex model from algebraic geometry
title_full_unstemmed Cylinder partition function of the 6-vertex model from algebraic geometry
title_short Cylinder partition function of the 6-vertex model from algebraic geometry
title_sort cylinder partition function of the 6-vertex model from algebraic geometry
topic cond-mat.stat-mech
hep-th
Particle Physics - Theory
url https://dx.doi.org/10.1007/JHEP06(2020)169
http://cds.cern.ch/record/2711363
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AT jacobsenjesperlykke cylinderpartitionfunctionofthe6vertexmodelfromalgebraicgeometry
AT jiangyunfeng cylinderpartitionfunctionofthe6vertexmodelfromalgebraicgeometry
AT nepomechierafaeli cylinderpartitionfunctionofthe6vertexmodelfromalgebraicgeometry
AT zhangyang cylinderpartitionfunctionofthe6vertexmodelfromalgebraicgeometry

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