Three loop (MS)over-bar 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 (MS)over-bar renormalization of the Curci-Ferrari model and the dimension two BRST invariant composite operator in QCD. PHYSICS LETTERS B, 552 (1-2). pp. 101-110.

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Abstract

The massless Curci-Ferrari model with Nf 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, 1/2Aμa2 - αc-a ca, 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, 1/2Aμa2, 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 and Engineering > School of Physical Sciences > Mathematical Sciences
Depositing User: Symplectic Admin
Date Deposited: 19 Aug 2008 13:32
Last Modified: 16 Dec 2022 09:51
DOI: 10.1016/S0370-2693(02)03077-0
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/530