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 ε expansion of the critical exponents for both cases. Estimates for the exponents in three, four and five dimensions are extracted using two-sided Pad\'e approximants and shown to be compatible with values from other approaches.

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