The six and eight-vertex models revisited

Physics – Condensed Matter – Other Condensed Matter

Scientific paper

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30 pages, 6 figures

Scientific paper

10.1023/B:JOSS.0000037215.07702.

Elliott Lieb's ice-type models opened up the whole field of solvable models in statistical mechanics. Here we discuss the ``commuting transfer matrix'' $T, Q$ equations for these models, writing them in a more explicit and transparent notation that we believe offers new insights. The approach manifests the relationship between the six-vertex and chiral Potts models, and between the eight-vertex and Kashiwara-Miwa models.

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