Vector Meson Propagator and Baryon Current Conservation

Abstract

If baryons couple only with $\omega$-mesons, one found the baryon spectral function may be negative. We show this unacceptable result is caused by the $k_{\mu }{k}_{\nu }$-terms in the $\omega$-meson propagator. Their contribution may not vanish in approximate calculations which violate the baryon current conserves. A rule is suggested, by which the calculated baryon spectral function is well behaved.

9 pages (LaTeX file), 3 figures (PostScript file)

References in corpus (3)

• Ghost Poles in the Nucleon Propagator: Vertex Corrections and Form Factors
• Self-consistent solution of the Schwinger-Dyson equations for the nucleon and meson propagators
• Ghost poles in the nucleon propagator in the linear-sigma model approach and its role in pion-nucleon low-energy theorems