From algebraic to coordinate Bethe ansatz for square ice
Statistical Mechanics
2019-04-30 v2 Mathematical Physics
math.MP
Abstract
In this text, we provide a detailed exposition of the Algebraic Bethe ansatz for square ice (or six vertex model), which allows the construction of candidate eigenvectors for the transfer matrices of this model. We also prove some formula of V.E. Korepin for these vectors, which leads to an identification, up to a non-zero complex factor, with the vector obtained by coordinate Bethe ansatz.
Keywords
Cite
@article{arxiv.1904.09282,
title = {From algebraic to coordinate Bethe ansatz for square ice},
author = {Silvère Gangloff},
journal= {arXiv preprint arXiv:1904.09282},
year = {2019}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1902.09274