Radial Meson Excitations and Abelian Self-Dual Gluon Fields

TL;DR

This paper reviews a QCD vacuum model using Abelian self-dual gluon fields, presenting new results on meson excitations and exploring connections with holographic QCD.

Contribution

It introduces a novel approach to the QCD vacuum with self-dual gluon fields and extends hadronization formalism to include radial meson excitations.

Findings

New results for radial excitations of light mesons

Results for heavy-light mesons and quarkonia

Potential links to holographic QCD models

Abstract

We briefly review motivation and results of the approach to QCD vacuum as a medium describable in terms of statistical ensemble of almost everywhere constant Abelian (anti-)self-dual gluon fields. An overview of the hadronization formalism based on this ensemble is presented. New results for radial excitations of light, heavy-light mesons and heavy quarkonia are presented. A possible interrelation between the present approach and holographic QCD with harmonic confinement is outlined.