The vertex formulation of the Bazhanov-Baxter model

S. M. Sergeev; Vladimir V. Mangazeev; Yu G. Stroganov

doi:10.1007/BF02189224

The vertex formulation of the Bazhanov-Baxter model

S. M. Sergeev, Vladimir V. Mangazeev, Yu G. Stroganov

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43 Citations (Scopus)

Abstract

In this paper we formulate an integrable model on the simple cubic lattice. The N-valued spin variables of the model belong to edges of the lattice. The Boltzmann weights of the model obey the vertex-type tetrahedron equation. In the thermodynamic limit our model is equivalent to the Bazhanov-Baxter model. In the case when N = 2 we reproduce Korepanov's and Hietarinta's solutions of the tetrahedron equation as special cases.

Original language	English
Pages (from-to)	31-49
Number of pages	19
Journal	Journal of Statistical Physics
Volume	82
Issue number	1-2
DOIs	https://doi.org/10.1007/BF02189224
Publication status	Published - Jan 1996
Externally published	Yes

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abstract = "In this paper we formulate an integrable model on the simple cubic lattice. The N-valued spin variables of the model belong to edges of the lattice. The Boltzmann weights of the model obey the vertex-type tetrahedron equation. In the thermodynamic limit our model is equivalent to the Bazhanov-Baxter model. In the case when N = 2 we reproduce Korepanov's and Hietarinta's solutions of the tetrahedron equation as special cases.",

keywords = "Fermat curve, Spherical geometry, Symmetry properties, Tetrahedron equation, Zamolodchikov model",

author = "Sergeev, {S. M.} and Mangazeev, {Vladimir V.} and Stroganov, {Yu G.}",

year = "1996",

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AU - Stroganov, Yu G.

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N2 - In this paper we formulate an integrable model on the simple cubic lattice. The N-valued spin variables of the model belong to edges of the lattice. The Boltzmann weights of the model obey the vertex-type tetrahedron equation. In the thermodynamic limit our model is equivalent to the Bazhanov-Baxter model. In the case when N = 2 we reproduce Korepanov's and Hietarinta's solutions of the tetrahedron equation as special cases.

AB - In this paper we formulate an integrable model on the simple cubic lattice. The N-valued spin variables of the model belong to edges of the lattice. The Boltzmann weights of the model obey the vertex-type tetrahedron equation. In the thermodynamic limit our model is equivalent to the Bazhanov-Baxter model. In the case when N = 2 we reproduce Korepanov's and Hietarinta's solutions of the tetrahedron equation as special cases.

KW - Fermat curve

KW - Spherical geometry

KW - Symmetry properties

KW - Tetrahedron equation

KW - Zamolodchikov model

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The vertex formulation of the Bazhanov-Baxter model

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