Tetrahedron equation and spin integrable models on a cubic lattice (Q1280391)
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scientific article; zbMATH DE number 1261678
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Tetrahedron equation and spin integrable models on a cubic lattice |
scientific article; zbMATH DE number 1261678 |
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Tetrahedron equation and spin integrable models on a cubic lattice (English)
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2 May 2000
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The paper is a review devoted to studying the tetrahedron equation (Zamolodchikov equation) \(R_{abc}R'_{ade} R''_{bdf} R'''_{cef}=R'''_{cef} R''_{bdf} R'_{ade} R_{abc}\) and its symmetrical properties. Its solution in the framework of the Bazhanov-Baxter model is studied in more detail. The updated list of all solutions is presented, and the generalization to inhomogeneous spin models with two types of Boltzmann weights forming a chessboard type lattice is considered.
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Yang-Baxter equation
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tetrahedron equation
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transition matrix
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Bazhanov-Baxter model
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integrability
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