Topics on abelian spin models and related problems

Details Topics on abelian spin models and related problems Topics on abelian spin models and related problems

2011-12-19

arxiv.org/abs/1112.4404v1

Mathematics

Probability

28 pages

Scientific paper

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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