Classical limit for a 3D lattice spin model

I. G. Korepanov, J. M. Maillard, S. M. Sergeev

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The quasiclassical limit of the integrable statistical 3D lattice model known as the Zamolodchikov-Bazhanov-Baxter model is considered. We obtain a classical equation of motion for the scalar field, defined on the cubic lattice in 2 + 1-dimensional space-time, and show that it can be seen as a generalization of the Miwa equations.

Original languageEnglish
Pages (from-to)211-216
Number of pages6
JournalPhysics Letters. Section A: General, Atomic and Solid State Physics
Volume232
Issue number3-4
DOIs
Publication statusPublished - 28 Jul 1997
Externally publishedYes

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cubic lattices
equations of motion
scalars

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Korepanov, I. G. ; Maillard, J. M. ; Sergeev, S. M. / Classical limit for a 3D lattice spin model. In: Physics Letters. Section A: General, Atomic and Solid State Physics. 1997 ; Vol. 232, No. 3-4. pp. 211-216.
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Classical limit for a 3D lattice spin model. / Korepanov, I. G.; Maillard, J. M.; Sergeev, S. M.

In: Physics Letters. Section A: General, Atomic and Solid State Physics, Vol. 232, No. 3-4, 28.07.1997, p. 211-216.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Classical limit for a 3D lattice spin model

AU - Korepanov, I. G.

AU - Maillard, J. M.

AU - Sergeev, S. M.

PY - 1997/7/28

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N2 - The quasiclassical limit of the integrable statistical 3D lattice model known as the Zamolodchikov-Bazhanov-Baxter model is considered. We obtain a classical equation of motion for the scalar field, defined on the cubic lattice in 2 + 1-dimensional space-time, and show that it can be seen as a generalization of the Miwa equations.

AB - The quasiclassical limit of the integrable statistical 3D lattice model known as the Zamolodchikov-Bazhanov-Baxter model is considered. We obtain a classical equation of motion for the scalar field, defined on the cubic lattice in 2 + 1-dimensional space-time, and show that it can be seen as a generalization of the Miwa equations.

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KW - Miwa equations

KW - Semi-classical limit

KW - Tetrahedron equations

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