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Glueballs from the Bethe-Salpeter equation

We formulate a framework to determine the mass of glueball states of Landau gauge Yang-Mills theory in the continuum. To this end we derive a Bethe-Salpeter equation for two gluon bound states including the effects of Faddeev-Popov ghosts. We construct a suitable approximation scheme such that the interactions in the bound state equation match a corresponding successful approximation of the Dyson-Schwinger equations for the Landau gauge ghost and gluon propagators. Based upon a recently obtained solution for the propagators in the complex momentum plane we obtain results for the mass of the scalar and pseudoscalar glueballs. In the scalar channel we find a mass value in agreement with lattice gauge theory.

preprint2015arXivOpen access
Helios Sanchis-AlepuzChristian S. FischerChristian KellermannLorenz von Smekal
hep-phhep-lathep-th
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Helios Sanchis-AlepuzChristian S. FischerChristian KellermannLorenz von Smekal

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