Non-perturbative QCD Modeling and Meson Physics

TL;DR

This paper extends a non-perturbative QCD model to study meson properties across different quark masses, analyzing decay constants, mass spectra, and chiral condensates to better understand non-perturbative effects.

Contribution

It applies a ladder-rainbow kernel to heavy mesons and assesses the constituent mass approximation, providing insights into non-perturbative QCD phenomena.

Findings

Effective modeling of heavy-light mesons using constituent masses.

Quantitative estimates of the four-quark chiral condensate.

Identification of the distance scale for non-perturbative effects.

Abstract

Using a ladder-rainbow kernel previously established for light quark hadron physics, we explore the extension to masses and electroweak decay constants of ground state pseudoscalar and vector quarkonia and heavy-light mesons in the c- and b-quark regions. We make a systematic study of the effectiveness of a constituent mass concept as a replacement for a heavy quark dressed propagator for such states. The difference between vector and axial vector current correlators is explored within the same model to provide an estimate of the four quark chiral condensate and the leading distance scale for the onset of non-perturbative phenomena in QCD.