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arXiv · 1112.4404

Topics on abelian spin models and related problems

Julien Dubédat
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Abstract

In these notes, we discuss a selection of topics on several models of planar statistical mechanics. We consider the Ising, Potts, and more generally abelian spin models; the discrete Gaussian free field; the random cluster model; and the six-vertex model. Emphasis is put on duality, order, disorder and spinor variables, and on mappings between these models.

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Julien Dubédat. 2011-12-19. Topics on abelian spin models and related problems. https://doi.org/10.1214/11-ps187

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