Aspects of the confinement mechanism in Coulomb-gauge QCD

Abstract

Phenomenological consequences of the infrared singular, instantaneous part of the gluon propagator in Coulomb gauge are investigated. The corresponding quark Dyson-Schwinger equation is solved, neglecting retardation and transverse gluons and regulating the resulting infrared singularities. While the quark propagator vanishes as the infrared regulator goes to zero, the frequency integral over the quark propagator stays finite and well-defined. Solutions of the homogeneous Bethe-Salpeter equation for the pseudoscalar and vector mesons as well as for scalar and axial-vector diquarks are obtained. In the limit of a vanishing infrared regulator the diquark masses diverge, while meson properties and diquark radii remain finite and well-defined. These features are interpreted with respect to the resulting aspects of confinement for colored quark-quark correlations.

arXiv comment4 pages, 6 figures

References in corpus (33)

• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD
• Dyson-Schwinger equations: a tool for hadron physics
• pi- and K-meson Bethe-Salpeter Amplitudes
• The Confinement Problem in Lattice Gauge Theory
• Bethe-Salpeter Study of Vector Meson Masses and Decay Constants
• Non-perturbative Propagators, Running Coupling and Dynamical Quark Mass of Landau gauge QCD
• Coulomb Gauge QCD, Confinement, and the Constituent Representation
• Analytic properties of the Landau gauge gluon and quark propagators
• The $\pi$, $K^{+}$, and $K^0$ electromagnetic form factors
• Variational solution of the Yang-Mills Schrödinger equation in Coulomb gauge
• The Quark-Photon Vertex and the Pion Charge Radius
• Aspects and consequences of a dressed-quark-gluon vertex
• No confinement without Coulomb confinement
• Pseudoscalar Meson Radial Excitations
• Mesons in a Poincare Covariant Bethe-Salpeter Approach
• Coulomb Energy, Remnant Symmetry, and the Phases of Non-Abelian Gauge Theories
• Octet and Decuplet Baryons in a Covariant and Confining Diquark-Quark Model
• Electromagnetic properties of ground and excited state pseudoscalar mesons
• Effective masses of diquarks
• Coulomb Energy, Vortices, and Confinement
• Nucleon Properties in the Covariant Quark-Diquark Model
• Confinement and gluon propagator in Coulomb gauge QCD
• Quark-gluon vertex model and lattice-QCD data
• Quark-gluon vertex from lattice QCD
• On Nucleon Electromagnetic Form Factors
• Numerical Study of Gluon Propagator and Confinement Scenario in Minimal Coulomb Gauge
• Analytic calculation of color-Coulomb potential and color confinement
• Hyperfine meson splittings: chiral symmetry versus transverse gluon exchange
• On Nucleon Electromagnetic Form Factors: A Pre'cis
• Regarding proton form factors
• The quark-photon vertex and meson electromagnetic form factors
• Relativistic Three-Quark Bound States in Separable Two-Quark Approximation

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• The quark-gluon vertex in Landau gauge QCD: Its role in dynamical chiral symmetry breaking and quark confinement
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• Quark Confinement: The Hard Problem of Hadron Physics
• Color-superconductivity in the strong-coupling regime of Landau gauge QCD
• Chirally symmetric but confining dense and cold matter
• Equation of State of Gluon Plasma from Local Action
• A covariant view on the nucleons' quark core
• Leading order infrared quantum chromodynamics in Coulomb gauge
• Progress in vacuum susceptibilities and their applications to the chiral phase transition of QCD
• Chiral symmetry patterns of excited mesons with the Coulomb-like linear confinement
• Masses of J^PC =1^-+ exotic quarkonia in a Bethe-Salpeter-equation approach
• Effects of a dressed quark-gluon vertex in vector heavy-light mesons and theory average of B(c)* meson mass
• Delta-baryon mass in a covariant Faddeev approach
• Hadronic decays of mesons and baryons in the Dyson-Schwinger approach
• Properties of Color-Coulomb String Tension
• Aspects of open-flavour mesons in a comprehensive DSBSE study
• Decay constants of the pion and its excitations in holographic QCD
• Transverse Symmetry Transformations and the Quark-Gluon Vertex Function in QCD
• Effective restoration of chiral symmetry in excited mesons
• Relation Between Chiral Susceptibility and Solutions of Gap Equation in Nambu--Jona-Lasinio Model
• Coulomb gauge confinement in the heavy quark limit
• DbarN interaction in a color-confining chiral quark model
• On a new approach to meson phenomenology with the Bethe-Salpeter equation
• Light-quarkonium spectra and orbital-angular-momentum decomposition in a Bethe-Salpeter-equation approach
• Is the ground state of Yang-Mills theory Coulombic?
• Chemical Potential Dependence of Chiral Quark Condensate in Dyson-Schwinger Equation Approach of QCD
• Confined but chirally symmetric hadrons at large density and the Casher's argument
• Chiral symmetry restoration at finite temperature within the Hamiltonian approach to QCD in Coulomb gauge
• Delta properties in the rainbow-ladder truncation of Dyson-Schwinger equations
• Leptonic decays of D-wave vector quarkonia
• Bethe-Salpeter equation at leading order in Coulomb gauge
• Temperature Dependence of the Effective Bag Constant and the Radius of a Nucleon in the Global Color Symmetry Model of QCD
• Hadron properties from QCD bound-state equations: A status report
• Chirally symmetric and confining dense matter with a diffused quark Fermi surface
• Quark models: What can they teach us?
• Confined but chirally and chiral spin symmetric hot matter
• S- and D-wave vector charmonia
• Feynman rules for Coulomb gauge QCD
• Chiral symmetry and its breaking
• On the Consistency of the Ladder Approximation and the Rainbow Approximation of Dyson-Schwinger Equation of QCD