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More on ghost condensation in Yang-Mills theory: BCS versus Overhauser effect and the breakdown of the Nakanishi-Ojima annex SL(2,R) symmetry

Dudal, David; Verschelde, Henri; Lemes, Vitor E.R.; Sarandy, Marcelo S.; Sorella, Silvio P.; Picariello, Marco; Vicini, Alessandro and Gracey, John A. (2003) More on ghost condensation in Yang-Mills theory: BCS versus Overhauser effect and the breakdown of the Nakanishi-Ojima annex SL(2,R) symmetry. Journal of High Energy Physics (11). Article Number: 029. ISSN 1029-8479

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Abstract

We analyze the ghost condensates <f^{abc}c^{b}c^{c}>, <f^{abc}\oc^{b}\oc^{c}> and <f^{abc}\oc^{b}c^{c}> in Yang-Mills theory in the Curci-Ferrari gauge. By combining the local composite operator formalism with the algebraic renormalization technique, we are able to give a simultaneous discussion of <f^{abc}c^{b}c^{c}>, <f^{abc}\oc^{b}\oc^{c}> and <f^{abc}\oc^{b}c^{c}>, which can be seen as playing the role of the BCS, respectively Overhauser effect in ordinary superconductivity. The Curci-Ferrari gauge exhibits a global continuous symmetry generated by the Nakanishi-Ojima (NO) algebra. This algebra includes, next to the (anti-)BRST transformation, a SL(2,R) subalgebra. We discuss the dynamical symmetry breaking of the NO algebra through these ghost condensates. Particular attention is paid to the Landau gauge, a special case of the Curci-Ferrari gauge.

Item Type:Article
Additional Information:LTH-579. arXiv Number: arXiv:hep-th/0305020v2. Published 25 November 2003. Issue November 2003. 20 pages.
Uncontrolled Keywords:BRST quantization; nonperturbative effects; global symmetries; BRST symmetry; GROSS-NEVEU MODEL; LANDAU GAUGE; COMPOSITE OPERATOR; BRS ALGEBRA; MASS-GAP; QCD; CONFINEMENT; RENORMALIZATION; 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:10.1088/1126-6708/2003/06/003
Publisher's Statement:Copyright © Institute of Physics and IOP Publishing Limited 2008
Related URLs:
Refereed:No
Status:Published
ID Code:517
Deposited On:19 Aug 2008 12:44
Last Modified:05 Mar 2012 08:58

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