Emptiness formation probability in the domain-wall six-vertex model

Abstract

The emptiness formation probability in the six-vertex model with domain wall boundary conditions is considered. This correlation function allows one to address the problem of limit shapes in the model. We apply the quantum inverse scattering method to calculate the emptiness formation probability for the inhomogeneous model. For the homogeneous model, the result is given both in terms of certain determinant and as a multiple integral representation.

22 pages, no figures

References in corpus (3)

• Algebraic representation of correlation functions in integrable spin chains
• The Influence of Boundary Conditions in the Six-Vertex Model
• The role of orthogonal polynomials in the six-vertex model and its combinatorial applications

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