Six loop critical exponent analysis for Lee-Yang and percolation theory

Abstract

Using the recent six loop renormalization group functions for Lee-Yang and percolation theory constructed by Schnetz from a scalar cubic Lagrangian, we deduce the $\hat{I}\mu$ expansion of the critical exponents for both cases. Estimates for the exponents in three, four and five dimensions are extracted using two-sided Padé approximants and shown to be compatible with values from other approaches.

25 latex pages, anc directory contains electronic version of the critical exponents, minor text additions