Renormalization of QCD in the interpolating momentum subtraction scheme at three loops

Gracey, JA ORCID: 0000-0002-9101-2853 and Simms, RM (2018) Renormalization of QCD in the interpolating momentum subtraction scheme at three loops Physical Review D, 97 (8). 085016-. ISSN 2470-0010, 2470-0029

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Abstract

We introduce a more general set of kinematic renormalization schemes than the original momentum subtraction schemes of Celmaster and Gonsalves. These new schemes will depend on a parameter ω, which tags the external momentum of one of the legs of the three-point vertex functions in QCD. In each of the three new schemes, we renormalize QCD in the Landau and maximal Abelian gauges and establish the three-loop renormalization group functions in each gauge. For an application, we evaluate two critical exponents at the Banks-Zaks fixed point and demonstrate that their values appear to be numerically scheme independent in a subrange of the conformal window.

Item Type:	Article
Additional Information:	42 latex pages, 14 tables 4 figures, anc directory contains txt file with electronic version of renormalization group functions, coupling constant mappings,conversion functions vertex functions and projection matrices
Uncontrolled Keywords:	hep-th, hep-th, hep-ph
Depositing User:	Symplectic Admin
Date Deposited:	15 Mar 2018 11:26
Last Modified:	24 Jan 2026 01:37
DOI:	10.1103/PhysRevD.97.085016
Related Websites:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3019051
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