Leading order infrared quantum chromodynamics in Coulomb gauge

Abstract

A truncation scheme for the Dyson-Schwinger equations of quantum chromodynamics in Coulomb gauge within the first order formalism is presented. The truncation is based on an Ansatz for the Coulomb kernel occurring in the action. Results at leading loop order and in the infrared are discussed for both the Yang-Mills and quark sectors. It is found that the resulting equations for the static gluon and quark propagators agree with those derived in a quasi-particle approximation to the canonical Hamiltonian approach. Moreover, a connection to the heavy quark limit is established. The equations are analyzed numerically and it is seen that in both the gluonic and quark sectors, a nontrivial dynamical infrared mass scale emerges.

27 pages, 11 figures

References in corpus (17)

• 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
• Propagator Dyson-Schwinger Equations of Coulomb Gauge Yang-Mills Theory Within the First Order Formalism
• The Coulomb gauge ghost Dyson-Schwinger equation
• Two-Point Functions of Coulomb Gauge Yang-Mills Theory
• The effective Coulomb potential in SU(3) lattice Yang-Mills theory
• Perturbation Theory of Coulomb Gauge Yang-Mills Theory Within the First Order Formalism
• Resolving temporal Gribov copies in Coulomb gauge Yang-Mills theory
• Coulomb gauge confinement in the heavy quark limit
• Quarks in Coulomb gauge perturbation theory
• Infrared-suppressed gluon propagator in 4d Yang-Mills theory in a Landau-like gauge
• Scaling study of the gluon propagator in Coulomb gauge QCD on isotropic and anisotropic lattices
• Instantaneous Interquark Potential in Generalized Landau Gauge in SU(3) Lattice QCD: A Linkage between the Landau and the Coulomb Gauges
• Instantaneous interquark potential in generalized Landau gauge in SU(3) lattice QCD: a possible gauge for the quark potential model
• Higher order heavy quark Green's functions in Coulomb gauge
• Three-quark confinement potential from the Faddeev equation
• Truncating first-order Dyson-Schwinger equations in Coulomb-Gauge Yang-Mills theory

Cited by in corpus (36)

• QCD and strongly coupled gauge theories: challenges and perspectives
• Quark flavour effects on gluon and ghost propagators
• On the zero crossing of the three-gluon vertex
• Effects of divergent ghost loops on the Green's functions of QCD
• Refining the detection of the zero crossing for the symmetric and asymmetric three-gluon vertices
• The lattice gluon propagator in renormalizable $\xi$ gauges
• The all-order equation of the effective gluon mass
• Discretization effects on renormalized gauge-field Green's functions, scale setting and gluon mass
• Nonperturbative study of the four gluon vertex
• The effective potential of the confinement order parameter in the Hamiltonian approach
• Schwinger mechanism in linear covariant gauges
• Nonperturbative structure of the ghost-gluon kernel
• Unified description of seagull cancellations and infrared finiteness of gluon propagators
• Evidence of ghost suppression in gluon mass dynamics
• Coupled dynamics in gluon mass generation and the impact of the three-gluon vertex
• The gluon propagator in linear covariant $R_{\xi }$ gauges
• Quark Sector of the QCD Groundstate in Coulomb Gauge
• Infrared Saturation and Phases of Gauge Theories with BRST Symmetry
• Improved variational approach to QCD in Coulomb gauge
• Comment on "Lattice Gluon and Ghost Propagators, and the Strong Coupling in Pure $SU(3)$ Yang-Mills Theory: Finite Lattice Spacing and Volume Effects"
• Revised variational approach to QCD in Coulomb gauge
• Calculation of the non-perturbative strong coupling from first principles
• One-loop RG improvement of the screened massive expansion in the Landau gauge
• Dimension two condensates in the Gribov-Zwanziger theory in the Coulomb gauge
• Overlap Quark Propagator in Coulomb Gauge QCD and the Interrelation of Confinement and Chiral Symmetry Breaking
• Dyson-Schwinger approach to strongly coupled theories
• Bethe-Salpeter equation at leading order in Coulomb gauge
• Dyson--Schwinger approach to Hamiltonian Quantum Chromodynamics
• Variational and Dyson--Schwinger Equations of Hamiltonian Quantum Chromodynamics
• The Nielsen identities in screened theories
• The gluon mass generation mechanism: a concise primer
• Analytic continuation and physical content of the gluon propagator
• Heavy tetraquark confining potential in Coulomb gauge QCD
• Screened massive expansion of Schwinger-Dyson equations
• The Equal-Time Quark Propagator in Coulomb Gauge
• Hamiltonian approach to QCD in Coulomb gauge: Gribov's confinement scenario at work