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 (32)

• 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
• On the infrared behavior of Landau gauge Yang-Mills theory
• On the Infrared Exponent for Gluon and Ghost Propagation in Landau Gauge QCD
• Variational solution of the Yang-Mills Schrödinger equation in Coulomb gauge
• Non-perturbative comparison of QCD effective charges
• On the Yang-Mills wave functional in Coulomb gauge
• Positivity violation for the lattice Landau gluon propagator
• Subcritical solution of the Yang-Mills Schroedinger equation in the Coulomb gauge
• Confinement and gluon propagator in Coulomb gauge QCD
• A new method for determining the quark-gluon vertex
• A variational approach to the QCD wave functional:Dynamical mass generation and confinement
• Ghost propagator and ghost-gluon vertex from Schwinger-Dyson equations
• Gluon mass generation without seagull divergences
• Renormalization group analysis of the gluon mass equation
• A covariant variational approach to Yang-Mills Theory
• Variational approach to Yang-Mills theory at finite temperatures
• Infrared finite ghost propagator in the Feynman gauge
• A variational study of bound states in the Higgs model
• Higher order extensions of the Gaussian effective potential
• A variational method from the variance of energy
• Gaussian Effective Potential and superconductivity
• Self-consistent variational approach to the minimal left-right symmetric model of electroweak interactions
• Light Higgs bosons from a strongly interacting Higgs sector
• A general interpolation scheme for thermal fluctuations in superconductors
• Gaussian effective potential for the standard model SU(2)xU(1) electroweak theory
• Variational Quantum Electrodynamics
• Non-perturbative effective model for the Higgs sector of the Standard Model
• Gaussian Effective Potential and Antiferromagnetism in the Hubbard Model
• Incorporating fermions in the Gaussian Effective Potential: the Higgs-Top Sector
• The Principle of Stationary Variance in Quantum Field Theory
• Post Gaussian effective potential in the Ginzburg Landau theory of superconductivity

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• On gluon and ghost propagators in linear covariant gauges
• QCD Running Couplings and Effective Charges
• Analytic structure of QCD propagators in Minkowski space
• More on the non-perturbative Gribov-Zwanziger quantization of linear covariant gauges
• Non-perturbative aspects of Euclidean Yang-Mills theories in linear covariant gauges: Nielsen identities and a BRST invariant two-point correlation function
• Evidence of ghost suppression in gluon mass dynamics
• Unified description of seagull cancellations and infrared finiteness of gluon propagators
• Coupled dynamics in gluon mass generation and the impact of the three-gluon vertex
• Yang-Mills correlators across the deconfinement phase transition
• The gluon propagator in linear covariant $R_{\xi }$ gauges
• Second order gluon polarization for SU(N) theory in linear covariant gauge
• Yang-Mills propagators in linear covariant gauges from Nielsen identities
• Variational study of mass generation and deconfinement in Yang-Mills theory
• Calculation of the non-perturbative strong coupling from first principles
• A fresh look at the (non-)Abelian Landau-Khalatnikov-Fradkin transformations
• Accessing the topological susceptibility via the Gribov horizon
• One-loop RG improvement of the screened massive expansion in the Landau gauge
• Aspects of the refined Gribov-Zwanziger action in linear covariant gauges
• Non-perturbative BRST quantization of Euclidean Yang-Mills theories in Curci-Ferrari gauges
• Faddeev-Popov Matrix in Linear Covariant Gauge: First Results
• Dispersion relations for unphysical particles
• Yang-Mills ghost propagator in linear covariant gauges
• Universal scaling of gluon and ghost propagators in the infrared
• Gluon mass scale through the Schwinger mechanism
• $H(4)$ 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
• Unraveling the organization of the QCD tapestry
• The Nielsen identities in screened theories
• The gluon mass generation mechanism: a concise primer
• Analytic continuation and physical content of the gluon propagator
• Screened massive expansion of Schwinger-Dyson equations
• The Veneziano ghost, glost and gauge copies in QCD
• 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