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arXiv · 1212.0246

Algebraic Bethe Ansatz approach to form factors and correlation functions of the cyclic eight-vertex solid-on-solid model

D. Levy-Bencheton·V. Terras
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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.

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D. Levy-Bencheton, V. Terras. 2012-12-02. Algebraic Bethe Ansatz approach to form factors and correlation functions of the cyclic eight-vertex solid-on-solid model. https://doi.org/10.1088/1742-5468%2F2013%2F04%2Fp04015

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