Conformal Invariance in Percolation, Self-Avoiding Walks and Related Problems

Details Conformal Invariance in Percolation, Self-Avoiding Walks and Related Problems Conformal Invariance in Percolation, Self-Avoiding Walks and Related Problems

2002-09-27

arxiv.org/abs/cond-mat/0209638v2

Physics

Condensed Matter

Statistical Mechanics

Plenary talk given at TH-2002, Paris. 21 pages, 9 figures

Scientific paper

10.1007/s00023-003-0928-8

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.

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