On two-point boundary correlations in the six-vertex model with DWBC
Mathematical Physics
2009-11-11 v2 math.MP
Abstract
The six-vertex model with domain wall boundary conditions (DWBC) on an N x N square lattice is considered. The two-point correlation function describing the probability of having two vertices in a given state at opposite (top and bottom) boundaries of the lattice is calculated. It is shown that this two-point boundary correlator is expressible in a very simple way in terms of the one-point boundary correlators of the model on N x N and (N-1) x (N-1) lattices. In alternating sign matrix (ASM) language this result implies that the doubly refined x-enumerations of ASMs are just appropriate combinations of the singly refined ones.
Keywords
Cite
@article{arxiv.math-ph/0503049,
title = {On two-point boundary correlations in the six-vertex model with DWBC},
author = {F. Colomo and A. G. Pronko},
journal= {arXiv preprint arXiv:math-ph/0503049},
year = {2009}
}
Comments
v2: a reference added, typos corrected