Journal of Physics
We give 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 asymptotic behaviour of the epsilon expansion, they obtain numerical estimates for these exponents for a number of interesting values of d.
Field theory (Physics)
Citation: Pilot Scholars Version (Modified MLA Style)
Bonfim, O. F. de Alcantara; Kirkham, J. E.; and McKane, A. J., "Critical exponents for the percolation problem and the Yang-Lee edge singularity" (1981). Physics Faculty Publications and Presentations. Paper 4.