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Glueballs from the Bethe-Salpeter equation

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arxiv 1503.06051 v1 pith:NX5QGXZ4 submitted 2015-03-20 hep-ph hep-lathep-th

Helios Sanchis-Alepuz , Christian S. Fischer , Christian Kellermann , Lorenz von Smekal This is my paper · ORCID
classification hep-phhep-lathep-th
keywords equationgaugemassapproximationbethe-salpeterboundglueballsgluon
verification ladder T0 review T1 audit T2 compute T3 formal
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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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    A comprehensive review showing how massless composite poles in QCD vertices can generate the gluon mass scale, with a BSE-based computation reaching m=367 MeV against the 354 MeV lattice value.

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