Cylinder partition function of the 6-vertex model from algebraic geometry
High Energy Physics - Theory
2020-07-24 v3 Statistical Mechanics
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.
Cite
@article{arxiv.2002.09019,
title = {Cylinder partition function of the 6-vertex model from algebraic geometry},
author = {Zoltan Bajnok and Jesper Lykke Jacobsen and Yunfeng Jiang and Rafael I. Nepomechie and Yang Zhang},
journal= {arXiv preprint arXiv:2002.09019},
year = {2020}
}
Comments
More explanations added, a new appendix added, published version