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arXiv · 1611.04827

Three-point vertex functions in Yang-Mills Theory and QCD in Landau gauge

Adrian L. Blum·Reinhard Alkofer·Markus Q. Huber·Andreas Windisch
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Abstract

Solutions for the three-gluon and quark-gluon vertices from Dyson-Schwinger equations and the three-particle irreducible formalism are discussed. Dynamical quarks (``unquenching'') change the three-gluon vertex via the quark-triangle diagrams which themselves include fully dressed quark-gluon vertex functions. On the other hand, the quark-swordfish diagram is, at least with the model used for the two-quark-two-gluon vertex employed here, of minor importance. For the leading tensor structure of the three-gluon vertex the "unquenching" effect can be summarized for the nonperturbative part as a shift of the related dressing function towards the infrared.

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Adrian L. Blum, Reinhard Alkofer, Markus Q. Huber, Andreas Windisch. 2016-11-15. Three-point vertex functions in Yang-Mills Theory and QCD in Landau gauge. https://doi.org/10.1051/epjconf%2F201713703001

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