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

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

2003-09-30

arxiv.org/abs/math-ph/0309064v2

J.Phys.A37:1987-2002,2004

Physics

Mathematical Physics

typos corrected

Scientific paper

10.1088/0305-4470/37/6/003

The six-vertex model on an $N\times N$ 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.

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