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arXiv · 0903.3089

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

Wen-Li Yang·Yao-Zhong Zhang
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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.

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Wen-Li Yang, Yao-Zhong Zhang. 2009-04-22. Partition function of the eight-vertex model with domain wall boundary condition. https://doi.org/10.1063/1.3205448

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