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# The anomalous dimension of the gluon-ghost mass operator in Yang-Mills theory

Dudal, D.; Verschelde, H.; Lemes, V.E.R.; Sarandy, M.S.; Sobreiro, R.; Sorella, S.P.; Picariello, M. and Gracey, J.A. (2003) The anomalous dimension of the gluon-ghost mass operator in Yang-Mills theory. Physics Letters B, 569 (1-2). pp. 57-66. ISSN 0370-2693

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## Abstract

The local composite gluon-ghost operator $({1/2}A^{a\mu}A_{\mu}^{a}+\alpha \bar{c}^{a}c^{a})$ is analysed in the framework of the algebraic renormalization in SU(N) Yang-Mills theories in the Landau, Curci-Ferrari and maximal abelian gauges. We show, to all orders of perturbation theory, that this operator is multiplicatively renormalizable. Furthermore, its anomalous dimension is not an independent parameter of the theory, being given by a general expression valid in all these gauges. We also verify the relations we obtain for the operator anomalous dimensions by explicit 3-loop calculations in the MSbar scheme for the Curci-Ferrari gauge.

Item Type: Article LTH-578. arXiv Number: arXiv:hep-th/0306116v2. Available online 6 August 2003. Issue: 4 September 2003. CURCI-FERRARI MODEL; COMPOSITE OPERATOR; LANDAU GAUGE; RENORMALIZATION; QCD Q Science > QC Physics Academic Faculties, Institutes and Research Centres > Faculty of Science > Department of Mathematical Sciences 10.1016/j.physletb.2003.07.019 http://arxiv.org/abs/hep-th/0306116 Yes Published 518 19 Aug 2008 12:51 20 May 2011 12:49

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