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arXiv · 1007.3901

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

Martina Blank·A. Krassnigg·Axel Maas
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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 $\rho$-meson properties are only sensitive to changes in the input at scales above a few hundred MeV.

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Martina Blank, A. Krassnigg, Axel Maas. 2010-07-22. Rho-meson, Bethe-Salpeter equation, and the far infrared. https://doi.org/10.1103/physrevd.83.034020

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