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

2025/10/07 by Gracey, J. A. · 1 citation
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Statistical Mechanics (cond-mat.stat-mech)

paper · doi:10.48550/arxiv.2510.05723

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 Padé approximants and shown to be compatible with values from other approaches.

Citations

• Anomalous dimensions and critical exponents for the Gross-Neveu-Yukawa model at five loops
• Forcer, a FORM program for the parametric reduction of four-loop massless propagator diagrams
• Forcer: a FORM program for 4-loop massless propagators

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• Towards a Quintic Ginzburg-Landau Description of the (2,7) Minimal Model

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