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Six loop critical exponent analysis for Lee-Yang and percolation theory
Published 7 Oct 2025 in hep-th and cond-mat.stat-mech | (2510.05723v1)
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 $\epsilon$ 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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