The Quark-Gluon Vertex in Landau gauge QCD
Markus Hopfer, Andreas Windisch, Reinhard Alkofer

TL;DR
This paper investigates the quark-gluon vertex and quark propagator in Landau gauge QCD using Dyson-Schwinger equations, revealing infrared enhancement and insights into confinement and chiral symmetry breaking.
Contribution
It extends previous studies by systematically improving truncations in the quark-gluon vertex DSE, providing a clearer understanding of non-perturbative QCD phenomena.
Findings
Infrared enhancement observed in all tensor structures of the quark-gluon vertex.
Deeper insight into the mechanisms of quark confinement.
Enhanced understanding of dynamical chiral symmetry breaking.
Abstract
The coupled system of the quark-gluon vertex and quark propagator Dyson-Schwinger equations (DSEs) is investigated within Landau gauge QCD. The aim is to get a deeper insight into the mechanisms of quark confinement and dynamical chiral symmetry breaking and into a possible relation between these two phenomena. To this end an earlier study is extended by improving systematically on the truncations imposed on the quark-gluon vertex DSE. A clear infrared enhancement for all tensor structures of the quark-gluon vertex is obtained.
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