The BRST-invariant vacuum state of the Gribov-Zwanziger theory

Abstract

We revisit the effective action of the Gribov-Zwanziger theory, taking into due account the BRST symmetry and renormalization (group invariance) of the construction. We compute at one loop the effective potential, showing the emergence of BRST-invariant dimension 2 condensates stabilizing the vacuum. This paper sets the stage at zero temperature, and clears the way to studying the Gribov-Zwanziger gap equations, and particularly the horizon condition, at finite temperature in future work.

arXiv comment18 pages, 4 .pdf figures

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• Refined Gribov-Zwanziger theory coupled to scalar fields in the Landau gauge
• The complex heavy-quark potential with the Gribov-Zwanziger action
• Ghost-gluon vertex in the presence of the Gribov horizon: General kinematics
• Study of a gauge invariant local composite fermionic field
• QCD phase diagram from the gluon propagator at finite temperature and density
• Heavy quark dynamics via Gribov-Zwanziger approach
• The gap equations of background field invariant Refined Gribov-Zwanziger action proposals and the deconfinement transition
• Implications of the Topological Chern-Simons mass in the Gap Equation
• An all order renormalizable Refined-Gribov-Zwanziger model with BRST invariant fermionic horizon function in linear covariant gauges
• Color-octet nonrelativistic QCD matrix elements for heavy quarkonium decays in the refined Gribov-Zwanziger theory