Six loop critical exponent analysis for Lee-Yang and percolation theory
High Energy Physics - Theory
2025-11-03 v2 Statistical Mechanics
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 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.
Cite
@article{arxiv.2510.05723,
title = {Six loop critical exponent analysis for Lee-Yang and percolation theory},
author = {J. A. Gracey},
journal= {arXiv preprint arXiv:2510.05723},
year = {2025}
}
Comments
25 latex pages, anc directory contains electronic version of the critical exponents, minor text additions