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, D, Verschelde, H, Lemes, VER, Sarandy, MS, Sorella, SP, Picariello, M, Vicini, A and Gracey, JA ORCID: 0000-0002-9101-2853
(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, 2003 (6). 003-003.

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Abstract

We analyze the ghost condensates , and 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 , and , 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
Subjects: ?? QC ??
Divisions: Faculty of Science and Engineering > School of Physical Sciences > Mathematical Sciences
Depositing User: Symplectic Admin
Date Deposited: 19 Aug 2008 11:44
Last Modified: 12 Jan 2023 03:21
DOI: 10.1088/1126-6708/2003/06/003
Publisher's Statement : Copyright © Institute of Physics and IOP Publishing Limited 2008
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/517