Abstract
This is a continuation of the papers of Bleher and Fokin (Commun. Math. Phys., 268:223–284, 2006) and of Bleher and Liechty (Commun. Math. Phys., 286:777–801, 2009), 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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The first author is supported in part by the National Science Foundation (NSF) Grant DMS-0652005.
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Bleher, P., Liechty, K. Exact Solution of the Six-Vertex Model with Domain Wall Boundary Conditions. Critical Line between Ferroelectric and Disordered Phases. J Stat Phys 134, 463–485 (2009). https://doi.org/10.1007/s10955-009-9688-2
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DOI: https://doi.org/10.1007/s10955-009-9688-2