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arXiv:hep-th/9408131 · Modern Physics Letters B

EQUATIONS FOR CORRELATION FUNCTIONS OF EIGHT-VERTEX MODEL: FERROMAGNETIC AND DISORDERED PHASES

Michael Lashkevich

Published Feb 28, 1996• 6 citations
arXivHTMLPDF

Abstract

The Kyoto group (Jimbo, Miwa, Nakayashiki et al.) has developed methods for calculating correlation functions of the eight-vertex model in antiferromagnetic phases. We extend these methods to ferromagnetic and disordered phases. We use Baxter’s symmetries to substantiate the validity of the analytical approach for these phases.
DOI
10.1142/s0217984996000134

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Results on the critical temperature of the eight-vertex model in any dimension are combined with the Griffiths inequalities for correlations in Ising ferromagnets to yield relations between critical exponents of eight-vertex models of differing dimensionality. Then Baxter's exact results for the two-dimensional, eight-vertex model are able to yield information on the three-dimensional exponents of these models. As in the planar eight-vertex models, the exponents in all dimensions probably vary continuously with the energy parameters.