Conformal invariance of lattice models
Abstract
These lecture notes provide a (almost) selfcontained account on conformal invariance of the planar critical Ising and FKIsing 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.
 Publication:

arXiv eprints
 Pub Date:
 September 2011
 arXiv:
 arXiv:1109.1549
 Bibcode:
 2011arXiv1109.1549D
 Keywords:

 Mathematics  Probability;
 Mathematical Physics;
 Mathematics  Combinatorics
 EPrint:
 70 pages, 19 figures