Bond percolation and the Yang-Lee edge singularity problems in three dimensions
- 1 September 1982
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 15 (9) , L521-L524
- https://doi.org/10.1088/0305-4470/15/9/015
Abstract
Field theories with a trilinear interaction are used to describe both the random bond percolation problem and the Yang-Lee edge singularity problems in three dimensions at criticality. Renormalisation group functions are calculated to order four for the exponents eta , omega and the beta function, and to order five for the remaining critical exponents. Estimations of the critical coupling constant and the exponents for percolation theory are found by summing conformal transformations of the Borel transformed series.Keywords
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