Quark mass function from a one-gluon-exchange-type interaction in Minkowski space

Abstract

We present first results for the quark mass function in Minkowski space in both the spacelike and timelike regions calculated from the same quark-antiquark interaction kernel used in the latest meson calculations using the Gross equation. This kernel consists of a Lorentz vector effective one-gluon-exchange-type interaction, a vector constant, and a mixed scalar-pseudoscalar covariant linear confining interaction that does not contribute to the mass function. We analyze the gauge dependence of our results, prove the gauge independence of the constituent quark mass and mass gap equation, and identify the Yennie gauge as the appropriate gauge to be used in CST calculations. We compare our results in the spacelike region to lattice QCD data and find good agreement.

18 pages, 10 figures

References in corpus (13)

• Infrared Properties of QCD from Dyson-Schwinger equations
• Baryons as relativistic three-quark bound states
• Pinch Technique: Theory and Applications
• Light Hadron Masses from Lattice QCD
• Covariant spectator theory of np scattering: Phase shifts obtained from precision fits to data below 350 MeV
• Linear confinement in momentum space: singularity-free bound-state equations
• Chiral symmetry and pi-pi scattering in the Covariant Spectator Theory
• Electromagnetic rho-meson form factors in point-form relativistic quantum mechanics
• Comparison of two Minkowski-space approaches to heavy quarkonia
• Point-Form Hamiltonian Dynamics and Applications
• Covariant spectator theory of quark-antiquark bound states: Mass spectra and vertex functions of heavy and heavy-light mesons
• Dynamical chiral symmetry breaking with Minkowski space integral representations
• Covariant Spectator Theory of heavy-light and heavy mesons and the predictive power of covariant interaction kernels