Rho-meson, Bethe-Salpeter equation, and the far infrared - High Energy Physics - PhenomenologyReport as inadecuate




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Abstract: The Bethe-Salpeter equation in QCD connects the gauge-dependent gluon andquark degrees of freedom with the gauge-invariant properties of mesons. Westudy the rho meson mass and decay constant for various versions of thegauge-dependent input functions discussed in the literature, which start todiffer generically below the hadronic scale, and show qualitative differentinfrared behavior. We find that, once the gauge-dependent quark-gluon vertex ispermitted to vary as well, the rho mass and decay constant is reproducedequally well for all forms investigated. A possible conclusion from this isthat these $ ho$-meson properties are only sensitive to changes in the inputat scales above a few hundred MeV.



Author: Martina Blank, A. Krassnigg, Axel Maas

Source: https://arxiv.org/







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