English

Partition function of the eight-vertex model with domain wall boundary condition

Statistical Mechanics 2015-05-13 v2 High Energy Physics - Theory Exactly Solvable and Integrable Systems

Abstract

We derive the recursive relations of the partition function for the eight-vertex model on an N×NN\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.

Keywords

Cite

@article{arxiv.0903.3089,
  title  = {Partition function of the eight-vertex model with domain wall boundary condition},
  author = {Wen-Li Yang and Yao-Zhong Zhang},
  journal= {arXiv preprint arXiv:0903.3089},
  year   = {2015}
}

Comments

Latex file, 20 pages; V2, references added