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New Developments in the Eight Vertex Model

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Abstract

We demonstrate that the Q matrix introduced in Baxter's 1972 solution of the eight vertex model has some eigenvectors which are not eigenvectors of the spin reflection operator and conjecture a new functional equation for Q(v) which both contains the Bethe equation that gives the eigenvalues of the transfer matrix and computes the degeneracies of these eigenvalues.

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Fabricius, K., McCoy, B.M. New Developments in the Eight Vertex Model. Journal of Statistical Physics 111, 323–337 (2003). https://doi.org/10.1023/A:1022213209641

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