Lectures on conformal invariance and percolation
Mar, 2001Citations per year
Abstract:
These lectures give an introduction to the methods of conformal field theory as applied to deriving certain results in two-dimensional critical percolation: namely the probability that there exists at least one cluster connecting two disjoint segments of the boundary of a simply connected region; and the mean number of such clusters. No previous familiarity with conformal field theory is assumed, but in the course of the argument many of its important concepts are introduced in as simple a manner as possible. A brief account is also given of some recent alternative approaches to deriving these kinds of result.- talk: Tokyo 2001/03/05
- field theory: conformal
- critical phenomena: percolation
- dimension: 2
- cluster
- Potts model
- lattice field theory
- continuum limit
- boundary condition
- scaling: finite size
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