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arXiv:1212.0246 · Journal of Statistical Mechanics Theory and Experiment

An algebraic Bethe ansatz approach to form factors and correlation functions of the cyclic eight-vertex solid-on-solid model

D Levy-Bencheton, V. Terras

Published Apr 9, 2013• 20 citations
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Abstract

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.

DOI
10.1088/1742-5468/2013/04/p04015

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