Exact solution of the six-vertex model with domain wall boundary conditions. Ferroelectric phase

Details Exact solution of the six-vertex model with domain wall boundary conditions. Ferroelectric phase Exact solution of the six-vertex model with domain wall boundary conditions. Ferroelectric phase

2007-12-26

arxiv.org/abs/0712.4091v2

Physics

Mathematical Physics

22 pages, 7 figures

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Exact solution of the six-vertex model with domain wall boundary conditions. Ferroelectric phase does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Exact solution of the six-vertex model with domain wall boundary conditions. Ferroelectric phase, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact solution of the six-vertex model with domain wall boundary conditions. Ferroelectric phase will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-476816