The three gluon vertex in the presence of dynamical quarks

Abstract

In this project, we will perform a detailed study of the quark impact on the nonperturbative behavior of three-gluon vertex form factors. To do that, we employ the Schwinger-Dyson equation, which describes the transverse projection of the vertex as our primary tool. This study aims to analyze whether the approximate property called "planar degeneracy" persists in the presence of a small number of quark families. Planar degeneracy allows for a very compact parameterization for the nonperturbative three-gluon vertex in general kinematics, significantly simplifying the applications involving this vertex in the infrared QCD regime.