Some exact results for the three-layer Zamolodchikov model

H. E. Boos; V. V. Mangazeev

doi:10.1134/1.1490096

Some exact results for the three-layer Zamolodchikov model

H. E. Boos^*, V. V. Mangazeev

^*Corresponding author for this work

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

Abstract

In this talk, we present our recent results on the three-layer Zamolodchikov model. We discuss solutions to the Bethe ansatz equations following from functional relations. We consider two regimes I and II that differ by the signs of the spherical sides (a₁, a₂, a₃) → (-a₁, -a₂, -a₃). Also, we accept the two-line hypothesis for regime I and the one-line hypothesis for regime II. In the thermodynamic limit, we derive integral equations for distribution densities and solve them exactly. Using this solution, we calculate the partition function for the three-layer Zamolodchikov model and check the compatibility of this result with functional relations. We also discuss the reasons for the discrepancy with Baxter's result of 1986.

Original language	English
Pages (from-to)	984-989
Number of pages	6
Journal	Physics of Atomic Nuclei
Volume	65
Issue number	6
DOIs	https://doi.org/10.1134/1.1490096
Publication status	Published - Jun 2002
Externally published	Yes
Event	2002 Symposium on Integrable Systems - University of Tokyo, Tokyo, Japan Duration: 15 Jul 2002 → 19 Jul 2002

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title = "Some exact results for the three-layer Zamolodchikov model",

abstract = "In this talk, we present our recent results on the three-layer Zamolodchikov model. We discuss solutions to the Bethe ansatz equations following from functional relations. We consider two regimes I and II that differ by the signs of the spherical sides (a1, a2, a3) → (-a1, -a2, -a3). Also, we accept the two-line hypothesis for regime I and the one-line hypothesis for regime II. In the thermodynamic limit, we derive integral equations for distribution densities and solve them exactly. Using this solution, we calculate the partition function for the three-layer Zamolodchikov model and check the compatibility of this result with functional relations. We also discuss the reasons for the discrepancy with Baxter's result of 1986.",

author = "Boos, {H. E.} and Mangazeev, {V. V.}",

year = "2002",

month = jun,

doi = "10.1134/1.1490096",

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journal = "Physics of Atomic Nuclei",

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number = "6",

note = "2002 Symposium on Integrable Systems ; Conference date: 15-07-2002 Through 19-07-2002",

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AU - Mangazeev, V. V.

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AB - In this talk, we present our recent results on the three-layer Zamolodchikov model. We discuss solutions to the Bethe ansatz equations following from functional relations. We consider two regimes I and II that differ by the signs of the spherical sides (a1, a2, a3) → (-a1, -a2, -a3). Also, we accept the two-line hypothesis for regime I and the one-line hypothesis for regime II. In the thermodynamic limit, we derive integral equations for distribution densities and solve them exactly. Using this solution, we calculate the partition function for the three-layer Zamolodchikov model and check the compatibility of this result with functional relations. We also discuss the reasons for the discrepancy with Baxter's result of 1986.

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JO - Physics of Atomic Nuclei

JF - Physics of Atomic Nuclei

IS - 6

T2 - 2002 Symposium on Integrable Systems

Y2 - 15 July 2002 through 19 July 2002

ER -

Some exact results for the three-layer Zamolodchikov model

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