On the trigonometric Felderhof model with domain wall boundary conditions
Abstract
We consider the trigonometric Felderhof model, of free fermions in an external field, on a finite lattice with domain wall boundary conditions. The vertex weights are functions of rapidities and external fields. We obtain a determinant expression for the partition function in the special case where the dependence on the rapidities is eliminated, but for general external field variables. This determinant can be evaluated in product form. In the homogeneous limit, it is proportional to a 2-Toda tau function. Next, we use the algebraic Bethe ansatz factorized basis to obtain a product expression for the partition function in the general case with dependence on all variables.
Keywords
Cite
@article{arxiv.math-ph/0702012,
title = {On the trigonometric Felderhof model with domain wall boundary conditions},
author = {A Caradoc and O Foda and M Wheeler and M Zuparic},
journal= {arXiv preprint arXiv:math-ph/0702012},
year = {2011}
}
Comments
12 pages. Version to appear in JSTAT. Proof of a determinant expression included. A misleading statement removed. Expository improvements. No change in conclusions