Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1993-09-14
Phys.Rev.D49:4683-4693,1994
Physics
High Energy Physics
High Energy Physics - Phenomenology
21 Pages including 4 PostScript figures uuencoded at the end of the file. Replacement: slight changes of wording and emphasis.
Scientific paper
10.1103/PhysRevD.49.4683
We study a model Dyson-Schwinger equation for the quark propagator closed using an {\it Ansatz} for the gluon propagator of the form \mbox{$D(q) \sim q^2/[(q^2)^2 + b^4]$} and two {\it Ans\"{a}tze} 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 $b=b_c$ such that the model does not support dynamical chiral symmetry breaking for $b>b_c$. We discuss and apply a confinement test which suggests that, for all values of $b$, 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.
Hawes Frederick T.
Roberts Craig D.
Williams Anthony G.
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