Conformal invariance of lattice models

Details Conformal invariance of lattice models Conformal invariance of lattice models

2011-09-07

arxiv.org/abs/1109.1549v2

Mathematics

Probability

82 pages, 19 figures

Scientific paper

These lecture notes provide a (almost) self-contained account on conformal invariance of the planar critical Ising and FK-Ising models. They present the theory of discrete holomorphic functions and its applications to planar statistical physics (more precisely to the convergence of fermionic observables). Convergence to SLE is discussed briefly. Many open questions are included.

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