arXiv:math-ph/0309064 · Journal of Physics A Mathematical and General

On the partition function of the six-vertex model with domain wall boundary conditions

Filippo Colomo, A. G. Pronko

Published Jan 28, 2004• 20 citations

Abstract

The six-vertex model on an N × N square lattice with domain wall boundary conditions is considered. A Fredholm determinant representation for the partition function of the model is given. The kernel of the corresponding integral operator is of the so-called integrable type, and involves classical orthogonal polynomials. From this representation, a ‘reconstruction’ formula is proposed, which expresses the partition function as the trace of a suitably chosen quantum operator, in the spirit of corner transfer matrix and vertex operator approaches to integrable spin models.

DOI: 10.1088/0305-4470/37/6/003

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