Speaker
Description
Based on a suitable basis system for the quark-gluon vertex’ transverse tensor structures and on carefully chosen kinematical variables, the transverse part of the quark-gluon vertex in quenched QCD in the Landau gauge is obtained from a solution of systems of Dyson-Schwinger equations. We demonstrate by analysing this solution that the angular dependence of these transverse quark-gluon vertex’ form factors is seemingly very weak. We nevertheless argue that this does not imply a planar degeneracy for this vertex because even this mild dependence cannot be neglected when aiming for reasonably precise results for derived quantities. Furthermore, we provide high-precision fits for the form factors based on sometimes astonishingly simple model functions. Last but not least, we exhibit relations in between the calculated form factors and demonstrate that the core ingredient to dynamical chiral symmetry breaking is the dynamically generated scalar-plus-tensor coupling of glue to quarks which itself is only possible because of chiral symmetry breaking.
