Renormalization of the second-order QCD with arbitrary chromomagnetic factor and quark self-interactions

TL;DR

This paper investigates the renormalization properties of second-order QCD with an arbitrary chromomagnetic factor and quark self-interactions, demonstrating renormalizability across various parameter values and recovering standard QCD in a specific limit.

Contribution

It introduces a renormalizable second-order QCD framework with arbitrary chromomagnetic factor and self-interactions, extending previous models and analyzing their quantum corrections.

Findings

Model is renormalizable for any chromomagnetic factor within perturbation theory.

Standard Dirac QCD is recovered at a specific parameter value.

The framework includes mass dimension four operators with controlled renormalization.

Abstract

In this work, the renormalization of the second-order QCD is analyzed at one-loop level, including an arbitrary chromomagnetic factor and quark self-interactions, which are mass dimension four operators in this framework. The model is shown to be renormalizable for any value of the chromomagnetic factor $\kappa$ in the validity region of the perturbative expansion, and Dirac QCD is recovered in the $\kappa=2$ case with vanishing self-interaction couplings.