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Journal of Statistical Physics

Bethe ansatz calculations for the eight-vertex model on a finite strip

Murray T. Batchelor, Michael N. Barber, Paul A. Pearce

Published Dec 1, 1987• 12 citations
Publisher
DOI
10.1007/bf01017563

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We consider the problem of the exact computation of the correlation functions of the eight-vertex solid-on-solid model by means of the algebraic Bethe ansatz. We compute the scalar product between a Bethe eigenstate and an arbitrary state of Bethe type and show that, in the cyclic case, it can be formulated as a single determinant of usual functions. It allows us to obtain determinant representations for finite-size form factors. By summing up over the form factors, we also give a multiple-integral representation for a generating function of the two-point function.