dorsal/arxiv
View SchemaBethe Ansatz for higher spin eight vertex models
| Authors | Takashi Takebe |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9504027 |
| URL | https://arxiv.org/abs/q-alg/9504027 |
| DOI | 10.1088/0305-4470/28/23/019 |
Abstract
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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"abstract": "A generalization of the eight vertex model by means of higher spin\nrepresentations of the Sklyanin algebra is investigated by the quantum inverse\nscattering method and the algebraic Bethe Ansatz. Under the well-known string\nhypothesis low-lying excited states are considered and scattering phase shifts\nof two physical particles are calculated. The $S$ matrix of two particle states\nis shown to be proportional to the Baxter\u0027s elliptic $R$ matrix with a\ndifferent elliptic modulus from the original one.",
"arxiv_id": "q-alg/9504027",
"authors": [
"Takashi Takebe"
],
"categories": [
"q-alg",
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"doi": "10.1088/0305-4470/28/23/019",
"title": "Bethe Ansatz for higher spin eight vertex models",
"url": "https://arxiv.org/abs/q-alg/9504027"
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