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The Influence of Boundary Conditions in the Six-Vertex Model

P. Zinn-Justin
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Abstract

We discuss the influence of boundary conditions on the continuum limit of the six-vertex model by deriving a variational principle for the associated height function with arbitrary fixed boundary conditions. We discuss its consequences using the known phase diagram of the six-vertex model. In some particular cases we compute explicitly the corresponding partial differential equations by means of the Bethe Ansatz.

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P. Zinn-Justin. 2002-05-09. The Influence of Boundary Conditions in the Six-Vertex Model. https://arxiv.org/abs/cond-mat/0205192

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