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Phys. Rev. D 68, 045003 (2003) [23 pages]

Infrared behavior of gluons and ghosts in ghost-antighost symmetric gauges

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R. Alkofer*, C. S. Fischer, and H. Reinhardt
Institute for Theoretical Physics, University of Tübingen, Auf der Morgenstelle 14, D-72076 Tübingen, Germany

L. von Smekal§
Institute for Theoretical Physics III, University of Erlangen–Nürnberg, Staudtstrasse 7, D-91058 Erlangen, Germany

Received 16 April 2003; published 8 August 2003

To investigate the possibility of a ghost-antighost condensate, the coupled Dyson-Schwinger equations for the gluon and ghost propagators in Yang-Mills theories are derived in general covariant gauges, including ghost-antighost symmetric gauges. The infrared behavior of these two-point functions is studied in a bare-vertex truncation scheme which has proven to be successful in the Landau gauge. In all linear covariant gauges the same infrared behavior as in the Landau gauge is found: The gluon propagator is infrared-suppressed whereas the ghost propagator is infrared-enhanced. This infrared singular behavior provides an indication against a ghost-antighost condensate. In the ghost-antighost symmetric gauges we find that the infrared behavior of the gluon and ghost propagators cannot be determined when replacing all dressed vertices by bare ones. The question of a BRS invariant dimension-2 condensate remains to be further studied.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.68.045003
DOI:
10.1103/PhysRevD.68.045003
PACS:
12.38.Aw, 11.15.Tk, 12.38.Lg, 14.70.Dj

*Email address: reinhard.alkofer@uni-tuebingen.de

Present address: Institute for Theoretical Physics, Heidelberg University, Philosophenweg 16, D-69120 Heidelberg, Germany. Email address: C.Fischer@thphys.uni-heidelberg.de

Email address: hugo.reinhardt@uni-tuebingen.de

§Email address: smekal@theorie3.physik.uni-erlangen.de