Interaction model for the gap equation

TL;DR

This paper introduces a new interaction model for the gap equation that aligns with modern QCD results and effectively predicts hadron physics observables, while also allowing extraction of a running coupling and gluon mass.

Contribution

It proposes a form for the rainbow-ladder kernel consistent with current QCD data, improving the modeling of the gap equation in hadron physics.

Findings

Produces results comparable to the best existing approaches

Enables extraction of a monotonic running coupling

Facilitates determination of a running gluon mass

Abstract

We explain a form for the rainbow-ladder kernel whose momentum-dependence is consonant with modern DSE- and lattice-QCD results, and assess its capability as a tool in hadron physics. In every respect tested, this form produces results for observables that are at least equal to the best otherwise obtained in a comparable approach. Moreover, it enables the natural extraction of a monotonic running-coupling and -gluon-mass.