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One loop renormalization of the non-local gauge invariant operator min_U (A^U_mu)^2 in QCD

Gracey, John (2007) One loop renormalization of the non-local gauge invariant operator min_U (A^U_mu)^2 in QCD. Physics Letters B, 651 (2-3). pp. 253-256. ISSN 0370-2693

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Official URL: http://www.elsevier.com/wps/find/journaldescriptio...

Cited 4 times in WoS

Abstract

We compute the one loop anomalous dimension of the gauge invariant dimension two operator min_U (A^U_mu)^2, where U is an element of the gauge group, by exploiting Zwanziger's expansion of the operator in terms of gauge invariant non-local n leg operators. The computation is performed in an arbitrary linear covariant gauge and the cancellation of the gauge parameter in the final anomalous dimension is demonstrated explicitly. The result is equivalent to the one loop anomalous dimension of the local dimension two operator (A^a_mu)^2 in the Landau gauge.

Item Type:Article
Additional Information:LTH 745; aXiv Number: arXiv:0706.1440v1. Issue date: 26 July 2007. Available online 13 June 2007.
Uncontrolled Keywords:YANG-MILLS THEORY; DYNAMICAL MASS GENERATION; COMPOSITE OPERATOR; ANOMALOUS DIMENSION; ABELIAN DOMINANCE; QUANTIZATION; UNITARITY; FIELDS; STATE; MODEL
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:10.1016/j.physletb.2007.06.021
Related URLs:
Refereed:Yes
Status:Published
ID Code:277
Deposited On:15 Aug 2008 11:18
Last Modified:20 May 2011 18:13

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