Equations for Correlation Functions of Eight-Vertex Model: Ferromagnetic and Disordered Phases

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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16 pages, a new section inserted instead of Eq. (4.15)

Scientific paper

The Kyoto group (Jimbo, Miwa, Nakayashikiet al.) showed that the partition function and correlation funtions of the eight-vertex model in antiferromagnetic phases can be calculated using simple analytical properties of the $R$-matrix. We extend these methods to ferromagnetic and disordered phases. We use Baxter's symmetries to obtain appropriate parametrizations of the $R$-matrix and to substantiate the validity of the analytical approach for these phases. These symmetries allow one to relate correlation functions in different phases.

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