Casimir energy in the Gribov-Zwanziger approach to QCD

Abstract

In this paper we study the Casimir energy of QCD within the Gribov-Zwanziger approach. In this model non-perturbative effects of gauge copies are properly taken into account. We show that the computation of the Casimir energy for the MIT bag model within the (refined) Gribov-Zwanziger approach not only gives the correct sign but it also gives an estimate for the radius of the bag.

5 pages, No figures. The discussion about the constraints on the RGZ parameters (as well as about the corresponding estimates) imposed by the requirement to have the correct behaviour of the Casimir energy has been expanded. Version accepted for publication on Physical Review D

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• 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
• The (IR-)relevance of the Gribov ambiguity in SU(2) x U(1) gauge theories with fundamental Higgs matter
• Gribov ambiguity and degenerate systems
• Implementing the Gribov-Zwanziger framework in N=1 Super Yang-Mills in the Landau gauge
• Gribov gap equation at finite temperature
• The Casimir energy in terms of boundary quantum field theory: the QED case
• Study of Yang-Mills-Chern-Simons theory in presence of the Gribov horizon
• The Gribov problem in Noncommutative QED
• Comments on the compatibility of thermodynamic equilibrium conditions with lattice propagators
• The Gribov problem in presence of background field for $SU(2)$ Yang-Mills theory
• Refined Gribov-Zwanziger theory coupled to scalar fields in the Landau gauge
• On general ultraviolet properties of a class of confining propagators
• Exploring new horizons of the Gribov problem in Yang-Mills theories
• Chern--Simons--Yang--Mills system in presence of Gribov horizon with fundamental Higgs matter
• Infrared propagators of Yang-Mills-Chern-Simons theories in linear covariant gauges
• From Ramanujan to renormalization: the art of doing away with divergences and arriving at physical results
• On infrared problems of effective Lagrangians of massive spin 2 fields coupled to gauge fields