Six - Vertex Model with Domain wall boundary conditions. Variable inhomogeneities

Physics – Mathematical Physics

Scientific paper

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12 pages, 1 figure

Scientific paper

10.1088/0305-4470/34/39/312

We consider the six-vertex model with domain wall boundary conditions. We choose the inhomogeneities as solutions of the Bethe Ansatz equations. The Bethe Ansatz equations have many solutions, so we can consider a wide variety of inhomogeneities. For certain choices of the inhomogeneities we study arrow correlation functions on the horizontal line going through the centre. In particular we obtain a multiple integral representation for the emptiness formation probability that generalizes the known formul\ae for XXZ antiferromagnets.

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