Dynamical chiral symmetry breaking and confinement with an infrared-vanishing gluon propagator?
arXiv:hep-ph/9309263 · doi:10.1103/PhysRevD.49.4683
Abstract
We study a model Dyson-Schwinger equation for the quark propagator closed using an {\it Ansatz} for the gluon propagator of the form \mbox{} and two {\it Ansätze} for the quark-gluon vertex: the minimal Ball-Chiu and the modified form suggested by Curtis and Pennington. Using the quark condensate as an order parameter, we find that there is a critical value of such that the model does not support dynamical chiral symmetry breaking for . We discuss and apply a confinement test which suggests that, for all values of , the quark propagator in the model {\bf is not} confining. Together these results suggest that this Ansatz for the gluon propagator is inadequate as a model since it does not yield the expected behaviour of QCD.
21 Pages including 4 PostScript figures uuencoded at the end of the file. Replacement: slight changes of wording and emphasis. ADP-93-215/T133, ANL-PHY-7599-TH-93, FSU-SCRI-93-108, REVTEX 3.0
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