The gluon propagator in linear covariant $R_{\xi }$ gauges

Abstract

Explicit analytical expressions are derived for the gluon propagator in a generic linear covariant $R_{\xi }$ gauge, by a screened massive expansion for the exact Faddeev-Popov Lagrangian of pure Yang-Mills theory. At one-loop, if the gauge invariance of the pole structure is enforced, the gluon dressing function is entirely and uniquely determined, without any free parameter or external input. The gluon propagator is found finite in the IR for any $\xi$, with a slight decrease of its limit value when going from the Landau gauge ($\xi =0$) towards the Feynman gauge ($\xi =1$). An excellent agreement is found with the lattice in the range $0<\xi <0.5$ where the data are available.

In this new version a typo has been corrected in Eq.(A11)

References in corpus (58)

• 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
• On the infrared behavior of Landau gauge Yang-Mills theory
• Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
• Quark Confinement from Color Confinement
• Analytic properties of the Landau gauge gluon and quark propagators
• Bridging a gap between continuum-QCD and ab initio predictions of hadron observables
• Infrared propagators of Yang-Mills theory from perturbation theory
• Variational solution of the Yang-Mills Schrödinger equation in Coulomb gauge
• Constraints on the IR behavior of the ghost propagator in Yang-Mills theories
• Quark flavour effects on gluon and ghost propagators
• Indirect lattice evidence for the Refined Gribov-Zwanziger formalism and the gluon condensate $⟨A^2⟩$ in the Landau gauge
• Analytic structure of the Landau gauge gluon propagator
• An Infrared Safe perturbative approach to Yang-Mills correlators
• The lattice Landau gauge gluon propagator: lattice spacing and volume dependence
• A dynamical gluon mass solution in a coupled system of the Schwinger-Dyson equations
• Gluonic three-point correlations in pure Landau gauge QCD
• Confinement from Correlation Functions
• Lattice Gluon and Ghost Propagators, and the Strong Coupling in Pure SU(3) Yang-Mills Theory: Finite Lattice Spacing and Volume Effects
• On the Yang-Mills wave functional in Coulomb gauge
• Running Gluon Mass from Landau Gauge Lattice QCD Propagator
• Källén-Lehmann spectroscopy for (un)physical degrees of freedom
• On the Nature of the Phase Transition in SU(N), Sp(2) and E(7) Yang-Mills theory
• Locating the Gribov horizon
• Glueball masses from an infrared moment problem and nonperturbative Landau gauge
• On the Quark-Gluon Vertex and Quark-Ghost Kernel: combining Lattice Simulations with Dyson-Schwinger equations
• Two-point correlation functions of QCD in the Landau gauge
• A Dyson-Schwinger study of the four-gluon vertex
• Analytical study of Yang-Mills theory in the infrared from first principles
• Covariant gauge on the lattice: a new implementation
• The lattice gluon propagator in renormalizable $\xi$ gauges
• Yang-Mills two-point functions in linear covariant gauges
• Gluon mass generation without seagull divergences
• How nonperturbative is the infrared regime of Landau gauge Yang-Mills correlators?
• On gluon and ghost propagators in linear covariant gauges
• Analytic structure of QCD propagators in Minkowski space
• Renormalization group analysis of the gluon mass equation
• Non-perturbative aspects of Euclidean Yang-Mills theories in linear covariant gauges: Nielsen identities and a BRST invariant two-point correlation function
• On the non-perturbative gluon mass and heavy quark physics
• Yang-Mills correlators at finite temperature: A perturbative perspective
• A covariant variational approach to Yang-Mills Theory
• The Coulomb gauge ghost Dyson-Schwinger equation
• Small parameters in infrared quantum chromodynamics
• The Nielsen Identities for the Two-Point Functions of QED and QCD
• Leading order infrared quantum chromodynamics in Coulomb gauge
• The gluon propagator in Feynman gauge by the method of stationary variance
• Optimization of QCD Perturbation Theory: Results for R(e+e-) at fourth order
• Second order gluon polarization for SU(N) theory in linear covariant gauge
• Coulomb vs. physical string tension on the lattice
• Comment on "Lattice Gluon and Ghost Propagators, and the Strong Coupling in Pure $SU(3)$ Yang-Mills Theory: Finite Lattice Spacing and Volume Effects"
• Variational study of mass generation and deconfinement in Yang-Mills theory
• Quasigluon lifetime and confinement from first principles
• Perturbative study of Yang-Mills theory in the infrared
• Dispersion relations for unphysical particles
• Universal scaling of gluon and ghost propagators in the infrared
• Exploring arbitrarily high orders of optimized perturbation theory in QCD with nf -> 16.5
• From condensed matter to QCD: a journey through gauge theories on board of a variational tool

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