Can an Infrared-vanishing Gluon propagator Confine Quarks?

1994/08/19 by Craig D. Roberts, Roberts, Craig D.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/9408327

Summary of a presentation at ``The Workshop on Quantum Infrared Physics'', The American University of Paris, 6-10 June, 1994. 10 Pages. 5 Figures. Including additional style file and eliminating outdated LaTeX commands

arxiv created 2000/06/21 · arxiv updated 2009/11/30

Abstract

It is shown that the solution of the quark Dyson-Schwinger equation in QCD obtained with a gluon propagator of the form D(q) ∼ q²/[q⁴+b⁴] and a quark-gluon vertex that is free of kinematic singularities does not describe a confined particle and that there is always a value of b² = b²_c such that chiral symmetry is not dynamically broken for b²>b_c².

Related

• Behaviour of propagator and quark confinement
• Dynamical quarks effects on the gluon propagation and chiral symmetry restoration
• A dynamical mechanism for generating quark confinement
• The Kugo-Ojima confinement criterion and the Infrared Behavior of Landau gauge QCD
• Solutions to the Schwinger-Dyson equation for the gluon and their implications for confinement