A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results

Abstract

Recent lattice data have reported an infrared suppressed, positivity violating gluon propagator which is nonvanishing at zero momentum and a ghost propagator which is no longer enhanced. This paper discusses how to obtain analytical results which are in qualitative agreement with these lattice data within the Gribov-Zwanziger framework. This framework allows one to take into account effects related to the existence of gauge copies, by restricting the domain of integration in the path integral to the Gribov region. We elaborate to great extent on a previous short paper by presenting additional results, also confirmed by the numerical simulations. A detailed discussion on the soft breaking of the BRST symmetry arising in the Gribov-Zwanziger approach is provided.

arXiv comment38 pages, 9 figures, the content of section V has been extended and adapted

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• On infrared problems of effective Lagrangians of massive spin 2 fields coupled to gauge fields
• Landau confining replica model from an explicitly breaking of a SU(3) group without auxiliary fields
• Color-octet nonrelativistic QCD matrix elements for heavy quarkonium decays in the refined Gribov-Zwanziger theory
• Study of the Emergence of a Gluon Mass Scale from Center Vortices Using a Wave-Functional Formalism
• On the zero modes of the Faddev-Popov operator in the Landau gauge
• Emergent Gribov horizon kernel from replica symmetry breaking in Yang--Mills theories
• Dynamical quarks effects on the gluon propagation and chiral symmetry restoration
• Quantum fields in the non-perturbative regime - Yang-Mills theory and gravity
• Regimes of $3D$ Yang--Mills theory in the presence of a constant vector background
• Extracting topological information from momentum space propagators
• Supersymmetric generalization of the maximal Abelian gauge
• Collective excitations in the hot QCD medium and the propagation of Heavy Quarks
• Gribov horizon, Polyakov loop and finite temperature
• A modification of Faddeev-Popov approach free from Gribov ambiguity
• Infrared behavior of QCD from the Dyson-Schwinger formalism
• Confining Potentials
• Complex Chern-Simons and Gribov
• High Precision Statistical Landau Gauge Lattice Gluon Propagator Computation
• The scalar sunset diagram at finite temperature with imaginary square masses
• Study of the all orders multiplicative renormalizability of a local matter confining Gribov-Zwanziger action in the MAG
• Gribov copies in the quark propagator
• Linking continuum and lattice quark mass functions via an effective charge
• Screened massive expansion of the quark propagator in the Landau gauge
• Reconstructing propagators of confined particles in the presence of complex singularities
• Running mass of the gluon propagator in the Landau gauge
• On the consistency of Lorentz-Violating Yang-Mills theories: Gauge invariance and non-perturbative effects
• Mean-field theory for self-interacting relativistic Luttinger fermions
• One-loop analytic structure of the deep-infrared Landau-gauge gluon propagator at finite temperature
• Correction to Nambu-Jona-Lasinio model from QCD at the next-to-leading order