The Influence of Boundary Conditions in the Six-Vertex Model

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.

References in corpus (1)

• Random Domino Tilings and the Arctic Circle Theorem

Cited by in corpus (14)

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