Conformal Invariance in Percolation, Self-Avoiding Walks and Related Problems
Statistical Mechanics
2009-11-07 v2
Abstract
Over the years, problems like percolation and self-avoiding walks have provided important testing grounds for our understanding of the nature of the critical state. I describe some very recent ideas, as well as some older ones, which cast light both on these problems themselves and on the quantum field theories to which they correspond. These ideas come from conformal field theory, Coulomb gas mappings, and stochastic Loewner evolution.
Cite
@article{arxiv.cond-mat/0209638,
title = {Conformal Invariance in Percolation, Self-Avoiding Walks and Related Problems},
author = {John Cardy},
journal= {arXiv preprint arXiv:cond-mat/0209638},
year = {2009}
}
Comments
Plenary talk given at TH-2002, Paris. 21 pages, 9 figures