Can an Infrared-vanishing Gluon propagator Confine Quarks?

Abstract

It is shown that the solution of the quark Dyson-Schwinger equation in QCD obtained with a gluon propagator of the form $D(q)\sim q^2/[q^4+b^4]$ 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 $b^2=b_c^2$ such that chiral symmetry is not dynamically broken for $b^2>b_c^2$.

Comments: 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 Including additional style file and eliminating outdated LaTeX commands