A covariant variational approach to Yang-Mills Theory

Abstract

We investigate the low-order Green's functions of SU(N) Yang-Mills theory in Landau gauge, using a covariant variational principle based on the effective action formalism. Employing an approximation to the Faddeev-Popov determinant established previously in the Hamiltonian approach in Coulomb gauge leads to a closed set of integral equations for the ghost and gluon propagator. We carry out the renormalization and the infrared analysis of this system of equations. Finally, we solve the renormalized system numerically and compare with lattice results and other functional approaches.

33 pages, LaTeX, 6 eps figures, 1 table

References in corpus (19)

• 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
• Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
• 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
• Confining Solution of the Dyson-Schwinger Equations in Coulomb Gauge
• Coulomb gauge gluon propagator and the Gribov formula
• Gauge-invariant truncation scheme for the Schwinger-Dyson equations of QCD
• Infrared analysis of propagators and vertices of Yang--Mills theory in Landau and Coulomb gauge
• Non-Gaussian wave functionals in Coulomb gauge Yang--Mills theory
• Does The Lattice Zero Momentum Gluon Propagator for Pure Gauge SU(3) Yang-Mills Theory Vanish in the Infinite Volume Limit?
• Dielectric function of the QCD vacuum
• The effective potential of the confinement order parameter in the Hamiltonian approach
• Coulomb-gauge ghost and gluon propagators in SU(3) lattice Yang-Mills theory
• The 't Hooft loop in the Hamiltonian approach to Yang-Mills theory in Coulomb gauge
• Infrared finite ghost propagator in the Feynman gauge
• Infrared Gluon and Ghost Propagator Exponents From Lattice QCD
• Higher order extensions of the Gaussian effective potential
• The Gribov-Zwanziger action in the presence of the gauge invariant, nonlocal mass operator $Tr\int d^{4}x{F}_{\mu \nu }(D^2{)}^{-1}{F}_{\mu \nu }$ in the Landau gauge

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• Non-perturbative finite-temperature Yang-Mills theory
• How nonperturbative is the infrared regime of Landau gauge Yang-Mills correlators?
• Analytic structure of QCD propagators in Minkowski space
• Small parameters in infrared quantum chromodynamics
• The gluon propagator in Feynman gauge by the method of stationary variance
• Yang-Mills correlators across the deconfinement phase transition
• The gluon propagator in linear covariant $R_{\xi }$ gauges
• A covariant variational approach to Yang-Mills Theory at finite temperatures
• The ghost-antighost-gluon vertex from the Curci-Ferrari model: Two-loop corrections
• Second order gluon polarization for SU(N) theory in linear covariant gauge
• Yang-Mills propagators in linear covariant gauges from Nielsen identities
• Two-loop three-gluon vertex from the Curci-Ferrari model and its leading infrared behavior to all loop orders
• Calculation of the non-perturbative strong coupling from first principles
• One-loop RG improvement of the screened massive expansion in the Landau gauge
• Covariant variational approach to Yang-Mills Theory: effective potential of the Polyakov loop
• Finite-temperature Yang-Mills theory in the Hamiltonian approach in Coulomb gauge from a compactified spatial dimension
• Dispersion relations for unphysical particles
• Chiral symmetry restoration at finite temperature within the Hamiltonian approach to QCD in Coulomb gauge
• Universal scaling of gluon and ghost propagators in the infrared
• Dyson--Schwinger approach to Hamiltonian Quantum Chromodynamics
• Covariant variational approach to Yang-Mills Theory: Thermodynamics
• Perturbative aspects of the deconfinement transition -- Physics beyond the Faddeev-Popov model
• The Nielsen identities in screened theories
• Polyakov loop, gluon mass, gluon condensate and its asymmetry near deconfinement
• Analytic continuation and physical content of the gluon propagator
• Screened massive expansion of Schwinger-Dyson equations
• The Equal-Time Quark Propagator in Coulomb Gauge
• A window on infrared QCD with small expansion parameters
• The gap equations of background field invariant Refined Gribov-Zwanziger action proposals and the deconfinement transition
• The effective potential of the Polyakov loop in the Hamiltonian approach to QCD
• Exact Simulation of Loops in Lattice Gauge Theory
• Screened massive expansion of the quark propagator in the Landau gauge