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arxiv: 1210.8428 · v1 · submitted 2012-10-31 · ✦ hep-ph · hep-th

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Towards a self-consistent solution of the Landau gauge quark-gluon vertex Dyson-Schwinger equation

Andreas Windisch , Markus Hopfer , Reinhard Alkofer
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classification ✦ hep-ph hep-th
keywords vertexquark-gluondyson-schwingerpropagatorsolutionequationfirstfully
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The quark-gluon vertex in Landau gauge QCD is investigated in the Dyson-Schwinger approach. The aim is to obtain a fully self-consistent solution of the quark propagator and the quark-gluon vertex Dyson-Schwinger equation (DSE) in the vacuum using the gluon propagator as input from other calculations. The truncation scheme used in an earlier study is systematically improved and the first decisive step towards a full solution is presented. First results for the quark propagator with a fully dressed quark-gluon vertex in a truncation that incorporates all twelve vertex tensor-structures are shown.

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    The transverse quark-gluon vertex in Landau gauge QCD shows weak but non-negligible angular dependence with no planar degeneracy; the dynamically generated tensor coupling is the core driver of dynamical chiral symmet...