Critical exponents for the percolation problem and the Yang-Lee edge singularity
- 1 September 1981
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 14 (9) , 2391-2413
- https://doi.org/10.1088/0305-4470/14/9/034
Abstract
Gives details of a calculation of critical exponents for a class of field theory models that have an interaction cubic in the fields. The results have already been reported, give the exponents to third order in epsilon where epsilon =6-d and d is the dimensionality of space. The class of models includes the percolation problem and the Yang-Lee edge singularity, so the authors give explicit results for the exponents to order epsilon 3 in these cases. By resummation methods, based on the symptotic behaviour of the epsilon expansion, they obtain numerical estimates for these exponents for a number of interesting values of d.Keywords
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