Physics – Mathematical Physics
Scientific paper
2001-03-14
Physics
Mathematical Physics
Lectures delivered at Chuo University, Tokyo, March 2001; 39 pages; corrected references for Section 7.3 added
Scientific paper
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.
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