TY - JOUR

T1 - Cylinder partition function of the 6-vertex model from algebraic geometry

AU - Bajnok, Zoltan

AU - Jacobsen, Jesper Lykke

AU - Jiang, Yunfeng

AU - Nepomechie, Rafael I.

AU - Zhang, Yang

N1 - Funding Information:
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited
Publisher Copyright:
© 2020, The Author(s).

PY - 2020/6/1

Y1 - 2020/6/1

N2 - 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.

AB - 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.

KW - Bethe Ansatz

KW - Differential and Algebraic Geometry

KW - Lattice Integrable Models

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U2 - 10.1007/JHEP06(2020)169

DO - 10.1007/JHEP06(2020)169

M3 - Article

AN - SCOPUS:85086946804

VL - 2020

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 6

M1 - 169

ER -