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Three loop MSbar renormalization of QCD in the maximal abelian gauge

Gracey, J.A. (2005) Three loop MSbar renormalization of QCD in the maximal abelian gauge. Journal of High Energy Physics (04). Article Number: 012. ISSN 1029-8479

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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:LTH 650; arXiv Number: arXiv:hep-th/0504051v1. 29 pages. Published 29 April 2005.
Uncontrolled Keywords:Renormalization Regularization and Renormalons; Renormalization Group; YANG-MILLS THEORIES; CURCI-FERRARI MODEL; 3-LOOP SPLITTING FUNCTIONS; BACKGROUND FIELD METHOD; QUANTUM CHROMODYNAMICS; COMPOSITE OPERATOR; BETA-FUNCTION; LANDAU GAUGE; ANOMALOUS DIMENSIONS; MASS GENERATION
Subjects:Q Science > QC Physics
Departments, Research Centres and Related Units:Academic Faculties, Institutes and Research Centres > Faculty of Science > Department of Mathematical Sciences
DOI:10.1088/1126-6708/2005/04/012
Publisher's Statement:Copyright © Institute of Physics and IOP Publishing Limited 2008
Related URLs:
Refereed:No
Status:Published
ID Code:420
Deposited On:18 Aug 2008 14:21
Last Modified:20 May 2011 14:38

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