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Analytic study of the off-diagonal mass generation for Yang-Mills theories in the maximal Abelian gauge

Dudal, D.; Gracey, J.A.; Lemes, V.E.R.; Sarandy, M.S.; Sobreiro, R.F.; Sorella, S.P. and Verschelde, H. (2004) Analytic study of the off-diagonal mass generation for Yang-Mills theories in the maximal Abelian gauge. Physical Review D, 70 . Article Number: 114038. ISSN 1550-2368 (online), 1550-7998 (print)

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Official URL: http://prola.aps.org/abstract/PRD/v70/i11/e114038

Cited 44 times in WoS

Abstract

We investigate a dynamical mass generation mechanism for the off-diagonal gluons and ghosts in SUN Yang-Mills theories, quantized in the maximal Abelian gauge. Such a mass can be seen as evidence for the Abelian dominance in that gauge. It originates from the condensation of a mixed gluon-ghost operator of mass dimension two, which lowers the vacuum energy. We construct an effective potential for this operator by a combined use of the local composite operators technique with the algebraic renormalization and we discuss the gauge parameter independence of the results. We also show that it is possible to connect the vacuum energy, due to the mass dimension-two condensate discussed here, with the nontrivial vacuum energy originating from the condensate <A^2>, which has attracted much attention in the Landau gauge.

Item Type:Article
Additional Information:LTH-623. arXiv Number: arXiv:hep-th/0406132v2. Additional citation information: PHYSICAL REVIEW D 70, 114038 (2004). 1550-7998/2004/70(11)/114038(18). 18 pages. Published 30 December 2004. Issue: December 2004.
Uncontrolled Keywords:QUARK CONFINEMENT; ANOMALOUS DIMENSION; COLOR CONFINEMENT; COVARIANT GAUGES; DOMINANCE; OPERATOR; QCD; RENORMALIZATION; CONDENSATION; TOPOLOGY
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:10.1103/PhysRevD.70.114038
Publisher's Statement:©2004 The American Physical Society
Related URLs:
Refereed:Yes
Status:Published
ID Code:480
Deposited On:31 Oct 2008 10:03
Last Modified:20 May 2011 13:33

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