Three loop MSbar renormalization of QCD in the maximal abelian gauge

Gracey, JA ORCID: 0000-0002-9101-2853 (2005) Three loop MSbar renormalization of QCD in the maximal abelian gauge. JHEP, 0504 (04). 012-.

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Abstract

We determine the three loop anomalous dimensions of the quark, centre and off-diagonal gluons, centre and off-diagonal ghosts and the gauge fixing parameters in the maximal abelian gauge for an arbitrary colour group in the MSbar renormalization scheme at three loops. We show that the three loop MSbar beta-function emerges from the renormalization of the centre gluon and also deduce the anomalous dimension of the BRST invariant dimension two mass operator. Moreover, we demonstrate that in the limit that the dimension of the centre of the group tends to zero, the anomalous dimensions of the quarks, off-diagonal gluons and off-diagonal ghosts tend to those of the quarks, gluons and ghosts of the Curci-Ferrari gauge respectively.

Item Type:	Article
Additional Information:	25 latex pages
Uncontrolled Keywords:	hep-th, hep-th, hep-ph
Subjects:	?? QC ??
Divisions:	Faculty of Science and Engineering > School of Physical Sciences > Mathematical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	18 Aug 2008 13:21
Last Modified:	17 Dec 2022 01:31
DOI:	10.1088/1126-6708/2005/04/012
Publisher's Statement :	Copyright © Institute of Physics and IOP Publishing Limited 2008
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/420