English

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

Mathematical Physics 2009-11-07 v1 Statistical Mechanics High Energy Physics - Theory math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.math-ph/0101036,
  title  = {Six - Vertex Model with Domain wall boundary conditions. Variable inhomogeneities},
  author = {J. de Gier and V. Korepin},
  journal= {arXiv preprint arXiv:math-ph/0101036},
  year   = {2009}
}

Comments

12 pages, 1 figure

R2 v1 2026-07-22T16:20:09.596Z