Rho-meson, Bethe-Salpeter equation, and the far infrared

Details Rho-meson, Bethe-Salpeter equation, and the far infrared Rho-meson, Bethe-Salpeter equation, and the far infrared

2010-07-22

arxiv.org/abs/1007.3901v2

Phys.Rev.D83:034020,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, 3 figures, 2 tables; introduction and conclusion modified, some details and one figure panel added, some further mino

Scientific paper

10.1103/PhysRevD.83.034020

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 $\rho$-meson properties are only sensitive to changes in the input at scales above a few hundred MeV.

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