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On the infrared behaviour of Gluons and Ghosts in Ghost-Antighost symmetric gauges

R. Alkofer·C. S. Fischer·H. Reinhardt·L. von Smekal
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Abstract

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 behaviour of these two-point functions is studied in a bare-vertex truncation scheme which has proven to be successful in Landau gauge. In all linear covariant gauges the same infrared behaviour as in Landau gauge is found: The gluon propagator is infrared suppressed whereas the ghost propagator is infrared enhanced. This infrared singular behaviour provides indication against a ghost-antighost condensate. In the ghost-antighost symmetric gauges we find that the infrared behaviour of the gluon and ghost propagators cannot be determined when replacing all dressed vertices by bare ones. The question of a BRST invariant dimension two condensate remains to be further studied.

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R. Alkofer, C. S. Fischer, H. Reinhardt, L. von Smekal. 2003-06-11. On the infrared behaviour of Gluons and Ghosts in Ghost-Antighost symmetric gauges. https://doi.org/10.1103/physrevd.68.045003

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