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The vertex formulation of the Bazhanov-Baxter model

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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.

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Author notes

  1. V. V. Mangazeev

    Present address: Institute for High Energy Physics, Protvino, Moscow Region, Russia

Authors and Affiliations

  1. Branch Institute for Nuclear Physics, Institute for High Energy Physics, Protvino, Moscow Region, Russia

    S. M. Sergeev

  2. Department of Theoretical Physics, RSPhysSE, Australian National University, 0200, Canberra, ACT, Australia

    V. V. Mangazeev

  3. Institute for High Energy Physics, Protvino, Moscow Region, Russia

    Yu. G. Stroganov

Authors
  1. S. M. Sergeev
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  2. V. V. Mangazeev
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  3. Yu. G. Stroganov
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Sergeev, S.M., Mangazeev, V.V. & Stroganov, Y.G. The vertex formulation of the Bazhanov-Baxter model. J Stat Phys 82, 31–49 (1996). https://doi.org/10.1007/BF02189224

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