The vertex formulation of the Bazhanov-Baxter model

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

39 Citations (Scopus)


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 languageEnglish
Pages (from-to)31-49
Number of pages19
JournalJournal of Statistical Physics
Issue number1-2
Publication statusPublished - Jan 1996


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