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arXiv · hep-ph/9508225

Model gluon propagator and pion and rho-meson observables

M. R. Frank·C. D. Roberts
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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 $ρ$-meson observables. Good agreement is obtained with the data. The calculated quark propagator does not have a singularity on the real-$p^2$ 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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M. R. Frank, C. D. Roberts. 1995-08-03. Model gluon propagator and pion and rho-meson observables. https://doi.org/10.1103/physrevc.53.390

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