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

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 <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:mi>ε</a:mi> </a:math> 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.

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Publication Details

Journal
Physical review. D/Physical review. D.
Published
2025-11-24
DOI
https://doi.org/10.1103/kphq-sc3j
Citations
2
Primary Topic
Theoretical and Computational Physics
Type
article
Field-Weighted Citation Impact
2.52
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article

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

J. A. Gracey
2 citations
Physical review. D/Physical review. D.
Theoretical and Computational Physics
2.52
article

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

J. A. Gracey
article en
2 citations

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 <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:mi>ε</a:mi> </a:math> 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.

Physical review. D/Physical review. D.Vol. 112(10)
University of Liverpool (GB)
Openalex Percentile: Top 9%
Theoretical and Computational Physics
2.52
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