Radial Meson Excitations and Abelian Self-Dual Gluon Fields

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.

Comments: Talk given at The 9th Joint International Hadron Structure '15 Conference, Horny Smokovec, Slovak Republic, 29 June-3 July 2015, to be published in International Journal of Modern Physics: Conference Series