Exact solution of the six-vertex model with domain wall boundary conditions. Ferroelectric phase
| dc.creator | Bleher, Pavel | |
| dc.creator | Liechty, Karl | |
| dc.date | 2007-12-26 | |
| dc.date | 2008-01-03 | |
| dc.date.accessioned | 2026-07-07T08:51:50Z | |
| dc.date.available | 2026-07-07T08:51:50Z | |
| dc.description | This is a continuation of the paper [4] of Bleher and Fokin, in which the large $n$ asymptotics is obtained for the partition function $Z_n$ of the six-vertex model with domain wall boundary conditions in the disordered phase. In the present paper we obtain the large $n$ asymptotics of $Z_n$ in the ferroelectric phase. We prove that for any $\ep>0$, as $n\to\infty$, $Z_n=CG^nF^{n^2}[1+O(e^{-n^{1-\ep}})]$, and we find the exact value of the constants $C,G$ and $F$. The proof is based on the large $n$ asymptotics for the underlying discrete orthogonal polynomials and on the Toda equation for the tau-function. | |
| dc.description | 22 pages, 7 figures | |
| dc.identifier | https://arxiv.org/abs/0712.4091 | |
| dc.identifier | http://arxiv.org/abs/0712.4091 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/145076 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 82B23 | |
| dc.title | Exact solution of the six-vertex model with domain wall boundary conditions. Ferroelectric phase | |
| dc.type | text |