Rho-meson, Bethe-Salpeter equation, and the far infrared
Abstract
The Bethe-Salpeter equation in QCD connects the gauge-dependent gluon and quark degrees of freedom with the gauge-invariant properties of mesons. We study the rho meson mass and decay constant for various versions of the gauge-dependent input functions discussed in the literature, which start to differ generically below the hadronic scale, and show qualitative different infrared behavior. We find that, once the gauge-dependent quark-gluon vertex is permitted to vary as well, the rho mass and decay constant is reproduced equally well for all forms investigated. A possible conclusion from this is that these -meson properties are only sensitive to changes in the input at scales above a few hundred MeV.
Keywords
Cite
@article{arxiv.1007.3901,
title = {Rho-meson, Bethe-Salpeter equation, and the far infrared},
author = {Martina Blank and A. Krassnigg and Axel Maas},
journal= {arXiv preprint arXiv:1007.3901},
year = {2011}
}
Comments
5 pages, 3 figures, 2 tables; introduction and conclusion modified, some details and one figure panel added, some further minor modifications and added references, version to appear in PRD