Symmetry restoration and the gluon mass in the Landau gauge

Abstract

We investigate the generation of a gluon screening mass in Yang-Mills theory in the Landau gauge. We propose a gauge-fixing procedure where the Gribov ambiguity is overcome by summing over all Gribov copies with some weight function. This can be formulated in terms of a local field theory involving constrained, nonlinear sigma model fields. We show that a phenomenon of radiative symmetry restoration occurs in this theory, similar to what happens in the standard nonlinear sigma model in two dimensions. This results in a nonzero gluon screening mass, as seen in lattice simulations.

arXiv comment10 pages, 3 figures

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• Dynamically massive linear covariant gauges: setup and first results
• Polyakov loop, gluon mass, gluon condensate and its asymmetry near deconfinement
• The Schwinger function, confinement and positivity violation in pure gauge QED
• Aspects of the gauge boson-gaugino mixing in a supersymmetric scenario with Lorentz-symmetry violation
• A window on infrared QCD with small expansion parameters
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• Towards a unified viewpoint of Gribov--Zwanziger and Serreau--Tissier gauge fixing
• Parton distribution and fragmentation functions with massive gluons
• Emergent Gribov horizon kernel from replica symmetry breaking in Yang--Mills theories