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

Gracey, JA ORCID: 0000-0002-9101-2853 (2025) Six loop critical exponent analysis for Lee-Yang and percolation theory Physical Review D, 112 (10). 105019-105019-17-. ISSN 2470-0010, 2470-0029

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

Item Type:	Article
Uncontrolled Keywords:	4902 Mathematical Physics, 49 Mathematical Sciences, 51 Physical Sciences
Divisions:	Faculty of Science & Engineering Faculty of Science & Engineering > School of Physical Sciences Faculty of Science & Engineering > School of Physical Sciences > Mathematical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	03 Nov 2025 09:19
Last Modified:	24 Jan 2026 05:28
DOI:	10.1103/kphq-sc3j
Related Websites:	Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3195130
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