Gribov gap equation at finite temperature

Abstract

In this paper the Gribov gap equation at finite temperature is analyzed. The solutions of the gap equation (which depend explicitly on the temperature) determine the structure of the gluon propagator within the semi-classical Gribov approach. The present analysis is consistent with the standard confinement scenario for low temperatures, while for high enough temperatures, deconfinement takes place and a free gluon propagator is obtained. It also suggests the presence of the so-called semi-quark-gluon-plasma phase in between the confined and quark-gluon plasma phases.

22 pages, 9 figures. Comments added, relevant references included

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Cited by in corpus (18)

• An exact nilpotent non-perturbative BRST symmetry for the Gribov-Zwanziger action in the linear covariant gauge
• Deconfinement transition in SU(N) theories from perturbation theory
• A local and BRST-invariant Yang-Mills theory within the Gribov horizon
• More on the non-perturbative Gribov-Zwanziger quantization of linear covariant gauges
• Properties of the Faddeev-Popov operator in the Landau gauge, matter confinement and soft BRST breaking
• Gribov horizon and non-perturbative BRST symmetry in the maximal Abelian gauge
• A Gribov-Zwanziger type action invariant under background gauge transformations
• Energy loss of a fast moving parton in Gribov-Zwanziger plasma
• The Gribov problem in presence of background field for $SU(2)$ Yang-Mills theory
• Comments on the compatibility of thermodynamic equilibrium conditions with lattice propagators
• Refined Gribov-Zwanziger theory coupled to scalar fields in the Landau gauge
• The complex heavy-quark potential with the Gribov-Zwanziger action
• Local QCD Action at Finite Temperature
• On general ultraviolet properties of a class of confining propagators
• Exploring new horizons of the Gribov problem in Yang-Mills theories
• Gravitating Meron-like topological solitons in massive Yang-Mills theory and the Einstein-Skyrme model
• On infrared problems of effective Lagrangians of massive spin 2 fields coupled to gauge fields
• Regimes of $3D$ Yang--Mills theory in the presence of a constant vector background