Three loop MS̄ renormalization of the Curci-Ferrari model and the dimension two BRST invariant composite operator in QCD

Gracey, JA ORCID: 0000-0002-9101-2853 (2003) Three loop MS̄ renormalization of the Curci-Ferrari model and the dimension two BRST invariant composite operator in QCD Physics Letters Section B Nuclear Elementary Particle and High Energy Physics, 552 (1-2). pp. 101-110. ISSN 0370-2693

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Abstract

The massless Curci-Ferrari model with N<inf>f</inf> flavours of quarks is renormalized to three loops in the MS scheme in an arbitrary covariant gauge with parameter α. The renormalization of the BRST invariant dimension two composite operator, 1/2A<inf>μ</inf>^a2 - αc^-a c^a, which corresponds to the mass operator in the massive Curci-Ferrari model, is determined by renormalizing the Green's function where the operator is inserted in a ghost two-point function. Consequently the anomalous dimension of the QCD Landau gauge operator, 1/2A<inf>μ</inf>^a2, and the (gauge independent) photon mass anomalous dimension in QED are both deduced at three loops. © 2002 Elsevier Science B.V. All rights reserved.

Item Type:	Article
Additional Information:	LTH 565. arXiv Number: arXiv:hep-th/0211144v1. Available online 3 December 2002. Issue: 16 January 2003.
Uncontrolled Keywords:	QUANTUM-FIELD THEORY, YANG-MILLS THEORIES, GAUGE-THEORIES, MASS-GAP, REGULARIZATION, CONDENSATE, GENERATION
Subjects:	?? QC ??
Divisions:	Faculty of Science & Engineering > School of Physical Sciences > Mathematical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	19 Aug 2008 13:32
Last Modified:	24 Jan 2026 00:13
DOI:	10.1016/S0370-2693(02)03077-0
Related Websites:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/530
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