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 Particles Fields Gravitation and Cosmology, 88 (8). 085027 1-085027 24. ISSN 1550-7998, 1550-2368

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Abstract

The one-loop 3-point vertex functions of QCD in the maximal Abelian gauge are evaluated at the fully symmetric point at one loop. As a consequence the theory is renormalized in the various momentum subtraction schemes, which are defined by the trivalent vertices, as well as in the MS̄ scheme. From these the two-loop renormalization group functions in the momentum schemes are derived using the one-loop conversion functions. In parallel we repeat the analysis for the Curci-Ferrari gauge, which corresponds to the maximal Abelian gauge in a specific limit. The relation between the Λ parameters in different schemes is also provided. © 2013 American Physical Society.

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: 24 Jan 2026 00:20
DOI: 10.1103/PhysRevD.88.085027
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URI: https://livrepository.liverpool.ac.uk/id/eprint/3000208
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