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The vertex formulation of the Bazhanov-Baxter model |
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| Authors: | S M Sergeev V V Mangazeev Yu G Stroganov |
| Institution: | (1) Branch Institute for Nuclear Physics, Institute for High Energy Physics, Protvino, Moscow Region, Russia;(2) Department of Theoretical Physics, RSPhysSE, Australian National University, 0200 Canberra, ACT, Australia;(3) Present address: Institute for High Energy Physics, Protvino, Moscow Region, Russia |
| Abstract: | In this paper we formulate an integrable model on the simple cubic lattice. TheN-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 whenN=2 we reproduce Korepanov's and Hietarinta's solutions of the tetrahedron equation as special cases. |
| Keywords: | Tetrahedron equation Zamolodchikov model Fermat curve spherical geometry symmetry properties |
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