Abstract
Abstract This chapter derives the matrix TQ functional equation for the eight-vertex model. The Bethe's equation for the eigenvalues of Q is derived from the matrix TQ equation. A numerical study is made of the eigenvalues of Q, and the TQ equation is used to compute the free energy of the eight-vertex model. Results on the excitations, order parameters and correlation functions of the six- and eight-vertex models and the related XYZ spin chain are presented.
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