Partition function of the eight-vertex model with domain wall boundary condition
arXiv:0903.3089 · doi:10.1063/1.3205448
Abstract
We derive the recursive relations of the partition function for the eight-vertex model on an $N\times N$ square lattice with domain wall boundary condition. Solving the recursive relations, we obtain the explicit expression of the domain wall partition function of the model. In the trigonometric/rational limit, our results recover the corresponding ones for the six-vertex model.
Latex file, 20 pages; V2, references added