On gluon and ghost propagators in linear covariant gauges

Abstract

We compute the gluon and ghost propagators of Yang-Mills theory in linear covariant gauges from the coupled system of Dyson-Schwinger equations. For small values of the gauge fixing parameter $\xi \sim 0.1$, the deviations to the Landau gauge already become clearly visible. For the ghost dressing function, this is reflected in a logarithmic infrared suppression. Also, the gluon dressing function changes - but only quantitatively - and the gluon propagator remains finite at zero momentum. From the results, a running coupling is extracted.

9 pages, 3 figures, agrees with version published in PRD

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• A local and renormalizable framework for the gauge-invariant operator $A_{\min }^2$ in Euclidean Yang-Mills theories in linear covariant gauges
• Yang-Mills propagators in linear covariant gauges from Nielsen identities
• Aspects of the refined Gribov-Zwanziger action in linear covariant gauges
• Dispersion relations for unphysical particles
• Yang-Mills ghost propagator in linear covariant gauges
• Universal scaling of gluon and ghost propagators in the infrared
• $H(4)$ tensor representations for the lattice Landau gauge gluon propagator and the estimation of lattice artefacts
• The Nielsen identities in screened theories
• Exploring new horizons of the Gribov problem in Yang-Mills theories
• Infrared propagators of Yang-Mills-Chern-Simons theories in linear covariant gauges
• The gap equations of background field invariant Refined Gribov-Zwanziger action proposals and the deconfinement transition
• Gauge covariance of the gap equation: from the rainbow truncation to gauge symmetry constraints
• Screened massive expansion of the quark propagator in the Landau gauge