The gluon propagator in Feynman gauge by the method of stationary variance

Abstract

The low-energy limit of pure Yang-Mills SU(3) gauge theory is studied in Feynman gauge by the method of stationary variance, a genuine second-order variational method that is suited to deal with the minimal coupling of fermions in gauge theories. In terms of standard irreducible graphs, the stationary equations are written as a set of coupled non-linear integral equations for the gluon and ghost propagators. A physically sensible solution is found for any strength of the coupling. The gluon propagator is finite in the infrared, with a dynamical mass that decreases as a power at high energies. At variance with some recent findings in Feynman gauge, the ghost dressing function does not vanish in the infrared limit and a decoupling scenario emerges as recently reported for the Landau gauge.

References in corpus (11)

• Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
• Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
• Non-perturbative comparison of QCD effective charges
• Subcritical solution of the Yang-Mills Schroedinger equation in the Coulomb gauge
• A new method for determining the quark-gluon vertex
• Infrared finite ghost propagator in the Feynman gauge
• Gaussian Effective Potential and superconductivity
• Self-consistent variational approach to the minimal left-right symmetric model of electroweak interactions
• A general interpolation scheme for thermal fluctuations in superconductors
• Gaussian effective potential for the standard model SU(2)xU(1) electroweak theory
• Incorporating fermions in the Gaussian Effective Potential: the Higgs-Top Sector

Cited by in corpus (19)

• Correlation functions of Landau gauge Yang-Mills theory
• Gauge Sector Dynamics in QCD
• On gluon and ghost propagators in linear covariant gauges
• QCD Running Couplings and Effective Charges
• Non-perturbative aspects of Euclidean Yang-Mills theories in linear covariant gauges: Nielsen identities and a BRST invariant two-point correlation function
• Yang-Mills propagators in linear covariant gauges from Nielsen identities
• One-loop RG improvement of the screened massive expansion in the Landau gauge
• Aspects of the refined Gribov-Zwanziger action in linear covariant gauges
• Dispersion relations for unphysical particles
• Yang-Mills ghost propagator in linear covariant gauges
• Gluon mass scale through the Schwinger mechanism
• Universal scaling of gluon and ghost propagators in the infrared
• $H(4)$ tensor representations for the lattice Landau gauge gluon propagator and the estimation of lattice artefacts
• The analytic structure of the Landau gauge quark propagator from Padé analysis
• The Nielsen identities in screened theories
• Analytic continuation and physical content of the gluon propagator
• Screened massive expansion of Schwinger-Dyson equations
• An all order renormalizable Refined-Gribov-Zwanziger model with BRST invariant fermionic horizon function in linear covariant gauges
• Screened massive expansion of the quark propagator in the Landau gauge