A symbolic algorithm for finding exactly soluble statistical mechanical models
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In general it is a very difficult task to find statistical mechanical models which satisfy the Yang-Baxter equations and thus are completely integrable. We propose a new approach leading to a (overdetermined) set oflinear equations. The formalism is applied to the Ising and the Ashkin-Teller models, which are both self-duals in two dimensions. Preliminary results for a symbolic algebra manipulation program is given, which would derive the relevant set of equations for an arbitrary internal spin symmetry group.
KeywordsIsing Model Transfer Matrix Matching Condition Statistical Mechanical Model Symbolic Algorithm
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