Bethe Ansatz for higher spin eight vertex models

Details Bethe Ansatz for higher spin eight vertex models Bethe Ansatz for higher spin eight vertex models

1995-04-28

arxiv.org/abs/q-alg/9504027v2

Physics

Condensed Matter

39 pages. AMS-LaTeX with amssymb, amsart. Revision: References and several details are added, typos are corrected

Scientific paper

10.1088/0305-4470/28/23/019

A generalization of the eight vertex model by means of higher spin representations of the Sklyanin algebra is investigated by the quantum inverse scattering method and the algebraic Bethe Ansatz. Under the well-known string hypothesis low-lying excited states are considered and scattering phase shifts of two physical particles are calculated. The $S$ matrix of two particle states is shown to be proportional to the Baxter's elliptic $R$ matrix with a different elliptic modulus from the original one.

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