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-.
ISSN 2470-0010, 2470-0029
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2306.11416.pdf - Author Accepted Manuscript Download (479kB) | Preview |
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 & Engineering > School of Physical Sciences |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 02 Oct 2023 14:48 |
| Last Modified: | 24 Jan 2026 04:33 |
| DOI: | 10.1103/PhysRevD.108.056006 |
| Open Access URL: | https://doi.org/10.1103/PhysRevD.108.056006 |
| Related Websites: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3173307 |
| Disclaimer: | The University of Liverpool is not responsible for content contained on other websites from links within repository metadata. Please contact us if you notice anything that appears incorrect or inappropriate. |
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