Two loop MSbar Gribov mass gap equation with massive quarks

Abstract

We compute the two loop MSbar correction to the Gribov mass gap equation in the Landau gauge using the Gribov-Zwanziger Lagrangian with massive quarks included. The computation involves dilogarithms of complex arguments and reproduces the known gap equation when the quark mass tends to zero.

20 latex pages

References in corpus (5)

• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
• Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
• New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach
• Constraints on the IR behavior of the ghost propagator in Yang-Mills theories

Cited by in corpus (8)

• Modeling the Gluon Propagator in Landau Gauge: Lattice Estimates of Pole Masses and Dimension-Two Condensates
• BRST Cohomology and Physical Space of the GZ Model
• More on the renormalization of the horizon function of the Gribov-Zwanziger action and the Kugo-Ojima Green function(s)
• Semiclassical analysis of the phases of 4d SU(2) Higgs gauge systems with cutoff at the Gribov horizon
• The No-Pole Condition in Landau gauge: Properties of the Gribov Ghost Form-Factor and a Constraint on the 2d Gluon Propagator
• Infrared Saturation and Phases of Gauge Theories with BRST Symmetry
• A BRST Characterization of the Broken Phase Observables of the Confining Complex Theory
• The scalar sunset diagram at finite temperature with imaginary square masses