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arXiv · 1503.06051

Glueballs from the Bethe-Salpeter equation

Helios Sanchis-Alepuz·Christian S. Fischer·Christian Kellermann·Lorenz von Smekal
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Abstract

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.

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Helios Sanchis-Alepuz, Christian S. Fischer, Christian Kellermann, Lorenz von Smekal. 2015-03-20. Glueballs from the Bethe-Salpeter equation. https://arxiv.org/abs/1503.06051

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