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

Zoltan Bajnok; Jesper Lykke Jacobsen; Yunfeng Jiang; Rafael I. Nepomechie; Yang Zhang

doi:10.1007/JHEP06(2020)169

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

Zoltan Bajnok, Jesper Lykke Jacobsen, Yunfeng Jiang, Rafael I. Nepomechie, Yang Zhang

Physics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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.

Original language	English (US)
Article number	169
Journal	Journal of High Energy Physics
Volume	2020
Issue number	6
DOIs	https://doi.org/10.1007/JHEP06(2020)169
State	Published - Jun 1 2020

Keywords

Bethe Ansatz
Differential and Algebraic Geometry
Lattice Integrable Models

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1007/JHEP06(2020)169

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abstract = "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.",

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AU - Bajnok, Zoltan

AU - Jacobsen, Jesper Lykke

AU - Jiang, Yunfeng

AU - Nepomechie, Rafael I.

AU - Zhang, Yang

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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.

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KW - Differential and Algebraic Geometry

KW - Lattice Integrable Models

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