arXiv:math/0504433 · Nuclear Physics B

The vertex-face correspondence and correlation functions of the fusion eight-vertex model

Takeo Kojima, Hitoshi Konno, Robert Weston

Published Jun 15, 2005• 28 citations

arXiv HTML PDF

DOI: 10.1016/j.nuclphysb.2005.05.012

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arXiv:math/0504433 · Nuclear Physics B

The vertex-face correspondence and correlation functions of the fusion eight-vertex model

Takeo Kojima, Hitoshi Konno, Robert Weston

Published Jun 15, 2005• 28 citations

arXiv HTML PDF

DOI: 10.1016/j.nuclphysb.2005.05.012

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Free Field Construction for Correlation Functions of the Eight-Vertex Model

Lashkevich, M Y, Pugai, Ya

A free field representation for the type $I$ vertex operators and the corner transfer matrices of the eight-vertex model is proposed. The construction uses the vertex-face correspondence, which makes it possible to expresses correlation functions of the eight-vertex model in terms of correlation functions of the SOS model with a nonlocal insertion. This new nonlocal insertion admits of a free field representation in terms of Lukyanov's screening operator. The spectrum of the corner transfer matrix and the Baxter-Kelland formula for the average staggered polarization have been reproduced.A free field representation for the type $I$ vertex operators and the corner transfer matrices of the eight-vertex model is proposed. The construction uses the vertex-face correspondence, which makes it possible to expresses correlation functions of the eight-vertex model in terms of correlation functions of the SOS model with a nonlocal insertion. This new nonlocal insertion admits of a free field representation in terms of Lukyanov's screening operator. The spectrum of the corner transfer matrix and the Baxter-Kelland formula for the average staggered polarization have been reproduced.

Jan 1, 199831 citations

A free field representation for the type

I

vertex operators and the corner transfer matrices of the eight-vertex model is proposed. The construction uses the vertex-face correspondence, which makes it possible to expresses correlation functions of the eight-vertex model in terms of correlation functions of the SOS model with a nonlocal insertion. This new nonlocal insertion admits of a free field representation in terms of Lukyanov's screening operator. The spectrum of the corner transfer matrix and the Baxter-Kelland formula for the average staggered polarization have been reproduced.