What the Infrared Behaviour of QCD Vertex Functions in Landau gauge can tell us about Confinement

Understand

The infrared behaviour of Landau gauge QCD vertex functions is investigated employing a skeleton expansion of the Dyson-Schwinger and Renormalization Group equations.

• Results for the ghost-gluon, three-gluon, four-gluon and quark-gluon vertex functions are presented.
• Positivity violation of the gluon propagator, and thus gluon confinement, is demonstrated.
• Results of the Dyson-Schwinger equations for a finite volume are compared to corresponding lattice data.