Momentum subtraction scheme renormalization group functions in the maximal Abelian gauge



Bell, JM and Gracey, JA ORCID: 0000-0002-9101-2853
(2013) Momentum subtraction scheme renormalization group functions in the maximal Abelian gauge. PHYSICAL REVIEW D, 88 (8). 085027 1-085027 24.

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Abstract

The one loop 3-point vertex functions of QCD in the maximal abelian gauge (MAG) are evaluated at the fully symmetric point at one loop. As a consequence the theory is renormalized in the various momentum (MOM) schemes which are defined by the trivalent vertices, as well as in the MSbar scheme. From these the two loop renormalization group functions in the MOM schemes are derived using the one loop conversion functions. In parallel we repeat the analysis for the Curci-Ferrari gauge which corresponds to the MAG in a specific limit. The relation between the Lambda parameters in different schemes is also provided.

Item Type: Article
Additional Information: 32 latex pages, anc directory contains txt file with beta-functions, anomalous dimensions, coupling constant mappings, conversion functions and amplitudes in analytic form
Uncontrolled Keywords: hep-ph, hep-ph, hep-lat
Depositing User: Symplectic Admin
Date Deposited: 12 Apr 2016 11:40
Last Modified: 16 Dec 2022 09:50
DOI: 10.1103/PhysRevD.88.085027
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3000208