具有半圈对称性的域壁六顶点模型
数学物理
2017-11-06 v2 统计力学
math.MP
摘要
我们在每个相区中获得了具有域壁边界条件和半圈对称性的六顶点模型配分函数的渐近公式。证明基于 Izergin--Korepin--Kuperberg 配分函数行列式公式、其向正交多项式的化简，以及在黎曼--希尔伯特方法框架下对所考虑正交多项式的渐近分析。
引用
@article{arxiv.1702.01190,
title = {Domain wall six-vertex model with half-turn symmetry},
author = {Pavel Bleher and Karl Liechty},
journal= {arXiv preprint arXiv:1702.01190},
year = {2017}
}
备注
19 pages, 3 figures. Results are now stated for domain wall boundary conditions with rotational symmetry rather than for half-turn boundary conditions as in an earlier version. Accordingly the title is changed slightly, but the technical content is unchanged in v2