Dressed quark-gluon vertex form factors from gauge symmetry

TL;DR

This paper investigates the form factors of the quark-gluon vertex, derived from gauge symmetry principles, providing insights into their momentum dependence and constraints from fundamental identities.

Contribution

It offers preliminary calculations of quark-gluon vertex form factors based on gauge symmetry constraints, extending understanding of fermion-boson interactions.

Findings

Form factors depend on quark momenta and angle

Derived expressions from Slavnov-Taylor identities

Results constrain fermion-boson vertex structure

Abstract

We present preliminary results on the longitudinal $and$ transverse form factors of the quark-gluon vertex as functions of the incoming and outgoing quark momenta and an angle $\theta =2\pi/3$ between them. The expressions for these form factors were previously derived from Slavnov-Taylor identities, gauge covariance and multiplicative renormalizability that firmly constrain the fermion-boson vertex.