1995/08/03 by M. R. Frank, Craig D. Roberts, C. D. Roberts · 1 citation
Mathematics · Physics and Astronomy · #Bethe–Salpeter equation #Gluon #High-Energy Particle Collisions Research #Mathematical physics #Mathematics #Meson #Observable #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Propagator #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Quark #Singularity #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevc.53.390
published as Phys.Rev.C53:390-398,1996 · 17 Pages, no figures, REVTEX
arxiv created 1995/08/03 · openalex publication_date 1996/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 \ensuremathπ- and \ensuremathρ-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. \textcopyright 1996 The American Physical Society.