Properties of the Faddeev-Popov operator in the Landau gauge, matter confinement and soft BRST breaking

Abstract

In light of the development of the Gribov issue for pure Euclidean gauge theories and of the recent lattice measurement of soft breaking of the BRST invariance in Yang-Mills theories in the Landau gauge, we consider non-perturbative features in the gauge-interacting matter sector and their relation with general properties of the Faddeev-Popov operator. A signature for BRST breaking in the matter sector is proposed and a local and renormalizable framework is constructed, accommodating this signature and predicting non-perturbative matter propagators that are consistent with available lattice data for adjoint scalars and quarks.

25 pages, 3 figures

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• Renormalizability of the Refined Gribov-Zwanziger action in the linear covariant gauges
• On bounds and boundary conditions in the continuum Landau gauge
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• Refined Gribov-Zwanziger theory coupled to scalar fields in the Landau gauge
• Towards background field independence within the Gribov horizon
• Yang-Mills theory in the maximal Abelian gauge in presence of scalar matter fields
• Exploring new horizons of the Gribov problem in Yang-Mills theories
• Study of the all orders multiplicative renormalizability of a local confining quark action in the Landau gauge
• Hints of (de)confinement in Yang-Mills-Chern-Simons theories in the maximal Abelian gauge
• Heavy quark dynamics via Gribov-Zwanziger approach
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• Infrared propagators of Yang-Mills-Chern-Simons theories in linear covariant gauges
• On the consistency of Lorentz-Violating Yang-Mills theories: Gauge invariance and non-perturbative effects
• Gribov horizon, Polyakov loop and finite temperature