On the trigonometric Felderhof model with domain wall boundary conditions

Details On the trigonometric Felderhof model with domain wall boundary conditions On the trigonometric Felderhof model with domain wall boundary conditions

2007-02-05

arxiv.org/abs/math-ph/0702012v2

J.Stat.Mech.0703:P03010,2007

Physics

Mathematical Physics

12 pages. Version to appear in JSTAT. Proof of a determinant expression included. A misleading statement removed. Expository i

Scientific paper

10.1088/1742-5468/2007/03/P03010

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.

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