Infrared Behaviour of Propagators and Vertices

Abstract

We elucidate constraints imposed by confinement and dynamical chiral symmetry breaking on the infrared behaviour of the dressed-quark and -gluon propagators, and dressed-quark-gluon vertex. In covariant gauges the dressing of the gluon propagator is completely specified by P(k^2):= 1/[1+Pi(k^2)], where Pi(k^2) is the vacuum polarisation. In the absence of particle-like singularities in the dressed-quark-gluon vertex, extant proposals for the dressed-gluon propagator that manifest P(k^2=0)=0 and Max[P(k^2)]~10 neither confine quarks nor break chiral symmetry dynamically. This class includes all existing estimates of P(k^2) via numerical simulations.

10 pages, 2 figures

References in corpus (5)

• pi- and K-meson Bethe-Salpeter Amplitudes
• Pion mass and decay constant
• A Solution to Coupled Dyson-Schwinger Equations for Gluons and Ghosts in Landau Gauge
• QCD in the Infrared with Exact Angular Integrations
• Nonperturbative QCD with Modern Tools

Cited by in corpus (46)

• Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD
• Dyson-Schwinger equations: a tool for hadron physics
• Bethe-Salpeter Study of Vector Meson Masses and Decay Constants
• The $\pi$, $K^{+}$, and $K^0$ electromagnetic form factors
• Hadron Properties and Dyson-Schwinger Equations
• Analysis of a quenched lattice-QCD dressed-quark propagator
• The Quark-Photon Vertex and the Pion Charge Radius
• Aspects and consequences of a dressed-quark-gluon vertex
• Asymptotic Scaling and Infrared Behavior of the Gluon Propagator
• Aspects of Hadron Physics
• Bethe-Salpeter equation and a nonperturbative quark-gluon vertex
• Electromagnetic Transition Form Factors of Light Mesons
• QCD modeling of hadron physics
• Natural constraints on the gluon-quark vertex
• Confinement Phenomenology in the Bethe-Salpeter Equation
• Quark-gluon vertex from lattice QCD
• Strong Decays of Light Vector Mesons
• Multiplicative renormalizability and quark propagator
• A dynamical, confining model and hot quark stars
• B- to light-meson transition form factors
• T-dependence of pseudoscalar and scalar correlations
• Facets of confinement and dynamical chiral symmetry breaking
• Infrared behavior of the gluon propagator in lattice Landau gauge: the three-dimensional case
• QCD based quark description of pi-pi scattering up to the sigma and rho region
• Concerning the quark condensate
• Nonperturbative Ball-Chiu construction of the three-gluon vertex
• Ghost dynamics in the soft gluon limit
• Describing a1 and b1 decays
• Schwinger functions and light-quark bound states
• Multiplicative renormalizability of gluon and ghost propagators in QCD
• Mean field exponents and small quark masses
• Dependence of the Chiral Symmetry Restoration Transition on the Quark Self-Energy Kernel
• K_{l3} transition form factors
• Transverse Symmetry Transformations and the Quark-Gluon Vertex Function in QCD
• Confinement, DCSB, Bound States, and the Quark-Gluon Vertex
• Dynamical structure of the chiral QCD vacuum in the zero modes enhancement quantum model
• Goldstone Boson's Valence-Quark Distribution
• Determination of the quantum part of the truly nonperturbative Yang-Mills vacuum energy density in the covariant gauge QCD
• Covariant QCD Modeling of Light Meson Physics
• The Quark Propagator in a Truncation Scheme beyond the Rainbow Approximation
• Dynamical symmetry breaking, confinement with flat-bottom potential
• Dyson-Schwinger studies of meson masses and decay constants
• Nonperturbative QCD Phenomenology and Light Quark Physics
• Short Strings and Gluon Propagator in the Infrared Region
• Heavy Meson Observables and Dyson-Schwinger Equations
• Heavy quark confinement from Dyson Schwinger equations