Domain wall six-vertex model with half-turn symmetry

Pavel Bleher; Karl Liechty

Domain wall six-vertex model with half-turn symmetry

Mathematical Physics 2017-11-06 v2 Statistical Mechanics math.MP

Authors: Pavel Bleher , Karl Liechty

Abstract

We obtain asymptotic formulas for the partition function of the six-vertex model with domain wall boundary conditions and half-turn symmetry in each of the phase regions. The proof is based on the Izergin--Korepin--Kuperberg determinantal formula for the partition function, its reduction to orthogonal polynomials, and on an asymptotic analysis of the orthogonal polynomials under consideration in the framework of the Riemann--Hilbert approach.

Keywords

six-vertex model domain wall boundary conditions half-turn symmetry partition function orthogonal polynomials Riemann-Hilbert approach asymptotic formulas

Cite

@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}
}

Comments

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

Domain wall six-vertex model with half-turn symmetry

Abstract

Keywords

Cite

Comments

Related papers