arXiv:hep-th/9710099 · Nuclear Physics B

Free field construction for correlation functions of the eight-vertex model

Michael Lashkevich, Yaroslav Pugai

Published Apr 1, 1998• 40 citations

arXiv HTML PDF

DOI: 10.1016/s0550-3213(98)00086-8

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arXiv:hep-th/9710099 · Nuclear Physics B

Free field construction for correlation functions of the eight-vertex model

Michael Lashkevich, Yaroslav Pugai

Published Apr 1, 1998• 40 citations

arXiv HTML PDF

DOI: 10.1016/s0550-3213(98)00086-8

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

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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

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Masafumi Fujimoto

Physica A Statistical Mechanics and its ApplicationsNov 1, 19968 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.