三维精确可解统计模型──Baxter－Bazhanov模型的可积性条件

The Integrability Condition of Three-Dimensional Exactly Solvable Model-Baxter-Bazhanov Model in Statistical Mechanics

从手征Ｐｏｔｔｓ模型推导出三维精确可解Ｂａｘｔｅｒ－Ｂａｚｈａｎｏｖ模型的“可逆性”及“星一方”关系，从而说明其可积性条件──四面体方程是手征Ｐｏｔｔｓ模型星──三角关系的一个结论．若把玻尔兹曼权参变数表示为Ｚａｍｏｌｏｄｃｈｉｋｏｖ角变量形式，其附加条件自然成立．值得指出的是，由本文处理方法可以得出三维可解统计模型的星－三角关系，它包含了Ｂａｚｈａｎｏｖ和Ｂａｘｔｅｒ的结论．

From the chiral Potts model the'inversion'and'star-square'relations of the Baxter-Bazhanov model are obtained.This means that the tetrahedron equation which is a commutativity condition for the three-dimensional cubic lattice is a consequence of the star-triangle relation of the chiral Potts model.The additional constraints in tetrahedron equation hold naturally when the Boltzmann weights are parametrized in terms of the Zamolodchikov angle variables.It is point out that the star-triangle relation of the three-dimensional model can be gotten by using the method given in this paper,which includes the result of Baxter and Bazhanov's