Nonperturbative results on the quark-gluon vertex

TL;DR

This paper provides analytical and numerical insights into the quark-gluon vertex's Dirac form factor in the symmetric limit, combining solutions from the quark gap equation and lattice QCD data.

Contribution

It offers the first combined analytical and numerical analysis of the quark-gluon vertex in the symmetric limit using nonperturbative inputs from lattice simulations.

Findings

Computed the Dirac form factor in the symmetric limit.

Analyzed the quark-ghost scattering kernel at one-loop dressed level.

Integrated lattice QCD data with gap equation solutions.

Abstract

We present analytical and numerical results for the Dirac form factor of the quark-gluon vertex in the quark symmetric limit, where the incoming and outgoing quark momenta have the same magnitude but opposite sign. To accomplish this, we compute the relevant components of the quark-ghost scattering kernel at the one-loop dressed approximation, using as basic ingredients the full quark propagator, obtained as a solution of the quark gap equation, and the gluon propagator and ghost dressing function, obtained from large-volume lattice simulations.