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arXiv:0903.3089 [cond-mat.stat-mech]AbstractReferencesReviewsResources

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

Wen-Li Yang, Yao-Zhong Zhang

Published 2009-03-18, updated 2009-04-22Version 2

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.

Comments: Latex file, 20 pages; V2, references added
Journal: J. Math. Phys. 50 (2009), 083518
Subjects: 05.50.+q, 02.10.Yn
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