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A study of the gauge invariant, nonlocal mass operator $Tr \int d^4x F_{\mu\nu}(D^2)^{-1} F_{\mu\nu}$ in Yang-Mills theories

Capri, M.A.L.; Dudal, D.; Gracey, J.A.; Lemes, V.E.R.; Sobreiro, R.F.; Sorella, S.P. and Verschelde, H. (2005) A study of the gauge invariant, nonlocal mass operator $Tr \int d^4x F_{\mu\nu}(D^2)^{-1} F_{\mu\nu}$ in Yang-Mills theories. Physical Review D, 72 . Article Number: 105016. ISSN 1550-2368 (online);1550-7998 (print)

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Official URL: http://link.aps.org/abstract/PRD/v72/e105016

Abstract

The nonlocal mass operator $Tr \int d^4x F_{\mu\nu} (D^2)^{-1} F_{\mu\nu}$ is considered in Yang-Mills theories in Euclidean space-time. It is shown that the operator $Tr \int d^4x F_{\mu\nu} (D^2)^{-1} F_{\mu\nu}$ can be cast in local form through the introduction of a set of additional fields. A local and polynomial action is thus identified. Its multiplicative renormalizability is proven by means of the algebraic renormalization in the class of linear covariant gauges. The anomalous dimensions of the fields and of the mass operator are computed at one loop order. A few remarks on the possible role of this operator for the issue of the gauge invariance of the dimension two condensates are outlined.

Item Type:Article
Additional Information:LTH 659; arXiv Number: arXiv:hep-th/0510240v2. Additional citation information: PHYSICAL REVIEW D 72, 105016 (2005); 1550-7998/2005/72(10)/105016(21). Published 30 November 2005. 21 pages. Issue: November 2005.
Uncontrolled Keywords:GLUON POLE MASS; LANDAU GAUGE; COMPOSITE OPERATOR; GRIBOV HORIZON; COVARIANT GAUGES; ANOMALOUS DIMENSION; INFRARED BEHAVIOR; RESONANCE PHYSICS; ABELIAN GAUGE; QCD
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.72.105016
Publisher's Statement:©2005 The American Physical Society
Related URLs:
Refereed:Yes
Status:Published
ID Code:412
Deposited On:27 Oct 2008 11:15
Last Modified:20 May 2011 14:57

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