The partition function of the ZN × ZN invariant vertex lattice model

A. A. Belavin; A. B. Zamolodchikov

doi:10.1016/0370-2693(82)91000-0

The partition function of the Z_N × Z_N invariant vertex lattice model

A. A. Belavin
, A. B. Zamolodchikov

Institute for Theoretical Physics

Landau Inst. for Theoretical Physics

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

6 Scopus citations

Abstract

A method for deriving the partition functions of two-dimensional exactly-solvable vertex models of statistical physics is proposed. This method reduces the problem to a solution of functional equations and may be used when the matrix of the vertex weights do not satisfy the crossing symmetry condition. By means of this method the partition function of the Z_N × Z_N-invariant vertex model is computed.

Original language	English
Pages (from-to)	165-167
Number of pages	3
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	116
Issue number	2-3
DOIs	https://doi.org/10.1016/0370-2693(82)91000-0
State	Published - Oct 7 1982

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10.1016/0370-2693(82)91000-0

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title = "The partition function of the ZN × ZN invariant vertex lattice model",

abstract = "A method for deriving the partition functions of two-dimensional exactly-solvable vertex models of statistical physics is proposed. This method reduces the problem to a solution of functional equations and may be used when the matrix of the vertex weights do not satisfy the crossing symmetry condition. By means of this method the partition function of the ZN × ZN-invariant vertex model is computed.",

author = "Belavin, \{A. A.\} and Zamolodchikov, \{A. B.\}",

year = "1982",

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T1 - The partition function of the ZN × ZN invariant vertex lattice model

AU - Belavin, A. A.

AU - Zamolodchikov, A. B.

PY - 1982/10/7

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N2 - A method for deriving the partition functions of two-dimensional exactly-solvable vertex models of statistical physics is proposed. This method reduces the problem to a solution of functional equations and may be used when the matrix of the vertex weights do not satisfy the crossing symmetry condition. By means of this method the partition function of the ZN × ZN-invariant vertex model is computed.

AB - A method for deriving the partition functions of two-dimensional exactly-solvable vertex models of statistical physics is proposed. This method reduces the problem to a solution of functional equations and may be used when the matrix of the vertex weights do not satisfy the crossing symmetry condition. By means of this method the partition function of the ZN × ZN-invariant vertex model is computed.

UR - https://www.scopus.com/pages/publications/49049141157

U2 - 10.1016/0370-2693(82)91000-0

DO - 10.1016/0370-2693(82)91000-0

M3 - Article

AN - SCOPUS:49049141157

SN - 0370-2693

VL - 116

SP - 165

EP - 167

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 2-3

ER -

The partition function of the Z_N × Z_N invariant vertex lattice model

Abstract

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