Model gluon propagator and pion and rho-meson observables

Abstract

A one parameter, model confined-gluon propagator is employed in a phenomenological application of the Dyson-Schwinger and Bethe-Salpeter equations to the calculation of a range of π- and -meson observables. Good agreement is obtained with the data. The calculated quark propagator does not have a singularity on the real-p2 axis. A mass formula for the pion, involving only the vacuum, dressed quark propagator, is presented and shown to provide an accurate estimate of the mass obtained via a direct solution of the Bethe-Salpeter equation.

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