# The vertex formulation of the Bazhanov-Baxter model

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

Research output: Contribution to journalArticle

32 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 31-49 19 Journal of Statistical Physics 82 1-2 https://doi.org/10.1007/BF02189224 Published - Jan 1996 Yes

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apexes
formulations
Formulation
Triangular pyramid
Vertex of a graph
tetrahedrons
Integrable Models
Thermodynamic Limit
Ludwig Boltzmann
Model
cubic lattices
thermodynamics

### Cite this

Sergeev, S. M., Mangazeev, V. V., & Stroganov, Y. G. (1996). The vertex formulation of the Bazhanov-Baxter model. Journal of Statistical Physics, 82(1-2), 31-49. https://doi.org/10.1007/BF02189224
Sergeev, S. M. ; Mangazeev, Vladimir V. ; Stroganov, Yu G. / The vertex formulation of the Bazhanov-Baxter model. In: Journal of Statistical Physics. 1996 ; Vol. 82, No. 1-2. pp. 31-49.
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Sergeev, SM, Mangazeev, VV & Stroganov, YG 1996, 'The vertex formulation of the Bazhanov-Baxter model', Journal of Statistical Physics, vol. 82, no. 1-2, pp. 31-49. https://doi.org/10.1007/BF02189224

The vertex formulation of the Bazhanov-Baxter model. / Sergeev, S. M.; Mangazeev, Vladimir V.; Stroganov, Yu G.

In: Journal of Statistical Physics, Vol. 82, No. 1-2, 01.1996, p. 31-49.

Research output: Contribution to journalArticle

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KW - Symmetry properties

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