Exact Solution of the Six-vertex Model with Domain Wall Boundary Conditions. Critical Line between Ferroelectric and Disordered Phases
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چکیده
Abstract. This is a continuation of the papers [4] of Bleher and Fokin and [6] of Bleher and Liechty, in which the large n asymptotics is obtained for the partition function Zn 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 Zn on the critical line between these two phases.
منابع مشابه
Exact Solution of the Six-vertex Model with Domain Wall Boundary Conditions. Ferroelectric Phase
This is a continuation of the paper [4] of Bleher and Fokin, in which the large n asymptotics is obtained for the partition function Zn 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 Zn in the ferroelectric phase. We prove that for any ε > 0, as n → ∞, Zn = CG nFn 2 [1+O(e−n 1−ε )], and we find the ...
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تاریخ انتشار 2008