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A combined study of the gluon and ghost condensates <A^2> and <epsilon^{abc} cbar^b c^c> in Euclidean SU(2) Yang-Mills theory in the Landau gauge

Capri, M.A.L.; Dudal, D.; Gracey, J.A.; Lemes, V.E.R.; Sobreiro, R.F.; Sorella, S.P. and Verschelde, H. (2006) A combined study of the gluon and ghost condensates <A^2> and <epsilon^{abc} cbar^b c^c> in Euclidean SU(2) Yang-Mills theory in the Landau gauge. Physical Review D, 73 . Article Number: 014001. ISSN 1550-2368 (Online); 1550-7998 (Print)

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Official URL: http://link.aps.org/abstract/PRD/v73/e014001

Abstract

The ghost condensate <epsilon^{abc} cbar^b c^c> is considered together with the gluon condensate <A^2> in SU(2) Euclidean Yang-Mills theories quantized in the Landau gauge. The vacuum polarization ceases to be transverse due to the nonvanishing condensate <epsilon^{abc} cbar^b c^c>. The gluon propagator itself remains transverse. By polarization effects, this ghost condensate induces then a splitting in the gluon mass parameter, which is dynamically generated through <A^2>. The obtained effective masses are real when <A^2> is included in the analysis. In the absence of <A^2>, the already known result that the ghost condensate induces effective tachyonic masses is recovered. At the one-loop level, we find that the effective diagonal mass becomes smaller than the off-diagonal one. This might serve as an indication for some kind of Abelian dominance in the Landau gauge, similar to what happens in the maximal Abelian gauge.

Item Type:Article
Additional Information:LTH 661; arXiv Number: arXiv:hep-th/0508216v1. 18 pages. Published 4 January 2006. Issue: January 2006.
Uncontrolled Keywords:MAXIMAL ABELIAN GAUGE; QUARK CONFINEMENT; MASS GENERATION; POLE MASS; DOMINANCE; QCD; FORMALISM; DIMENSION; BREAKING; ENERGY
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.73.014001
Publisher's Statement:©2006 The American Physical Society
Related URLs:
Refereed:Yes
Status:Published
ID Code:411
Deposited On:27 Oct 2008 11:14
Last Modified:08 May 2012 11:33

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