# Practical scheme from QCD to phenomena via Dyson-Schwinger equations

## TL;DR

This paper introduces a practical scheme using Dyson-Schwinger equations to compute key QCD quantities like the quark propagator and vertices, incorporating the three-gluon vertex and fitting functions from their DSE solutions.

## Contribution

The paper presents a new, realistic scheme for calculating QCD phenomena by solving coupled Dyson-Schwinger equations with improved vertex and propagator modeling.

## Key findings

- Quark propagator and vertex functions depend on momentum and current mass.
- Chiral quark condensate results match previous studies.
- Computed quark electromagnetic and chromomagnetic moments agree with known values.

## Abstract

We deliver a new scheme to compute the quark propagator and the quark-gluon interaction vertex through the coupled Dyson-Schwinger equations (DSEs) of QCD. We take the three-gluon vertex into account in our calculations, and implement the gluon propagator and the running coupling function fitted by the solutions of their respective DSEs. We obtain the momentum and current mass dependence of the quark propagator and the quark-gluon vertex, and the chiral quark condensate which agrees with previous results excellently. We also compute the quark-photon vertex within this scheme and give the anomalous chromo- and electro-magnetic moment of quark. The obtained results also agree with previous ones very well. These applications manifest that the new scheme is realistic and then practical for explaining the QCD-related phenomena.