Critical behavior of 3 field theories in three dimensions

Abstract

The methods of renormalized perturbation theory are used to find the critical exponents of the percolation and Yang-Lee edge singularity problems. Both of the above critical phenomena are described by 3 field theories, and the Wilson functions are calculated explicitly in three dimensions to order three loops and summed using the Padé-Borel method. The resulting critical exponent values are consistent with direct series expansion results. © 1982 The American Physical Society.