Exact solution of the six-vertex model with domain wall boundary condition. Critical line between ferroelectric and disordered phases

Details Exact solution of the six-vertex model with domain wall boundary condition. Critical line between ferroelectric and disordered phases Exact solution of the six-vertex model with domain wall boundary condition. Critical line between ferroelectric and disordered phases

2008-02-05

arxiv.org/abs/0802.0690v2

Physics

Mathematical Physics

22 pages, 6 figures, to appear in the Journal of Statistical Physics

Scientific paper

10.1007/s10955-009-9688-2

This is a continuation of the papers [4] of Bleher and Fokin and [5] of Bleher and Liechty, 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 and ferroelectric phases, respectively. In the present paper we obtain the large $n$ asymptotics of $Z_n$ on the critical line between these two phases.

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