The eight-vertex model and Painlevé VI

V. V. Bazhanov; V. V. Mangazeev

doi:10.1088/0305-4470/39/39/S15

The eight-vertex model and Painlevé VI

V. V. Bazhanov^*, V. V. Mangazeev

^*Corresponding author for this work

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

37 Citations (Scopus)

Abstract

In this paper we establish a connection of Picard-type elliptic solutions of the Painlevé VI equation with the special solutions of the non-stationary Lamé equation. The latter appeared in the study of the ground-state properties of Baxter's solvable eight-vertex lattice model at a particular point, η ≤ π/3, of the disordered regime.

Original language	English
Article number	S15
Pages (from-to)	12235-12243
Number of pages	9
Journal	Journal of Physics A: Mathematical and General
Volume	39
Issue number	39
DOIs	https://doi.org/10.1088/0305-4470/39/39/S15
Publication status	Published - 29 Sept 2006

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title = "The eight-vertex model and Painlev{\'e} VI",

abstract = "In this paper we establish a connection of Picard-type elliptic solutions of the Painlev{\'e} VI equation with the special solutions of the non-stationary Lam{\'e} equation. The latter appeared in the study of the ground-state properties of Baxter's solvable eight-vertex lattice model at a particular point, η ≤ π/3, of the disordered regime.",

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AU - Mangazeev, V. V.

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AB - In this paper we establish a connection of Picard-type elliptic solutions of the Painlevé VI equation with the special solutions of the non-stationary Lamé equation. The latter appeared in the study of the ground-state properties of Baxter's solvable eight-vertex lattice model at a particular point, η ≤ π/3, of the disordered regime.

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DO - 10.1088/0305-4470/39/39/S15

M3 - Article

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EP - 12243

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 39

M1 - S15

ER -

The eight-vertex model and Painlevé VI

Abstract

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