Classical limit for a 3D lattice spin model

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

doi:10.1016/S0375-9601(97)00394-0

Classical limit for a 3D lattice spin model

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

Research output: Contribution to journal › Article › peer-review

4 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 language	English
Pages (from-to)	211-216
Number of pages	6
Journal	Physics Letters. Section A: General, Atomic and Solid State Physics
Volume	232
Issue number	3-4
DOIs	https://doi.org/10.1016/S0375-9601(97)00394-0
Publication status	Published - 28 Jul 1997
Externally published	Yes

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10.1016/S0375-9601(97)00394-0

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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. ",

keywords = "2 + 1 integrability, Hirota-Miwa equations, Miwa equations, Semi-classical limit, Tetrahedron equations",

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year = "1997",

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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

Y1 - 1997/7/28

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.

KW - 2 + 1 integrability

KW - Hirota-Miwa equations

KW - Miwa equations

KW - Semi-classical limit

KW - Tetrahedron equations

UR - https://www.scopus.com/pages/publications/0007298329

U2 - 10.1016/S0375-9601(97)00394-0

DO - 10.1016/S0375-9601(97)00394-0

M3 - Article

AN - SCOPUS:0007298329

SN - 0375-9601

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EP - 216

JO - Physics Letters. Section A: General, Atomic and Solid State Physics

JF - Physics Letters. Section A: General, Atomic and Solid State Physics

IS - 3-4

ER -

Classical limit for a 3D lattice spin model

Abstract

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