Crewther’s relation, schemes, gauges, and fixed points



Gracey, JA ORCID: 0000-0002-9101-2853 and Mason, RH ORCID: 0000-0002-2024-0381
(2023) Crewther’s relation, schemes, gauges, and fixed points. Physical Review D, 108 (5). 056006-.

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Abstract

We investigate the Crewther relation at high loop order in a variety of renormalization schemes and gauges. By examining the properties of the relation in schemes other than modified minimal subtraction (MS¯) at the fixed points of quantum chromodynamics we propose a generalization of the Crewther relation that extends the MS¯ construction of Broadhurst and Kataev. A derivation based on the properties of the renormalization group equation is provided for the generalization which is tested in various scenarios.

Item Type: Article
Uncontrolled Keywords: 4902 Mathematical Physics, 49 Mathematical Sciences, 51 Physical Sciences
Divisions: Faculty of Science and Engineering > School of Physical Sciences
Depositing User: Symplectic Admin
Date Deposited: 02 Oct 2023 14:48
Last Modified: 20 Jun 2024 21:59
DOI: 10.1103/physrevd.108.056006
Open Access URL: https://doi.org/10.1103/PhysRevD.108.056006
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3173307