Regge spectra of excited mesons, harmonic confinement and QCD vacuum structure

Abstract

An approach to QCD vacuum as a medium describable in terms of statistical ensemble of almost everywhere homogeneous Abelian (anti-)self-dual gluon fields is briefly reviewed. These fields play the role of the confining medium for color charged fields as well as underline the mechanism of realization of chiral $S{U}_{\mathrm{L}}(N_f)\times S{U}_{\mathrm{R}}(N_f)$ and $U_A(1)$ symmetries. Hadronization formalism based on this ensemble leads to manifestly defined quantum effective meson action. Strong, electromagnetic and weak interactions of mesons are represented in the action in terms of nonlocal $n$-point interaction vertices given by the quark-gluon loops averaged over the background ensemble. New systematic results for the mass spectrum and decay constants of radially excited light, heavy-light mesons and heavy quarkonia are presented. Interrelation between the present approach, models based on ideas of soft wall AdS/QCD, light front holographic QCD, and the picture of harmonic confinement is outlined.

arXiv comment27 pages, 18 figures; corrected caption for fig. 10

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• Electromagnetic couplings of radially excited light vector mesons from QCD sum rules
• Energy-driven disorder in the mean field QCD
• Photons production in heavy-ion collisions as a signal of deconfinement phase
• Dipole polarizabilities of light pseudoscalar mesons within the Domain Model of QCD vacuum
• Finite size effects in the free energy density for Abelian (anti-)self-dual gluon field in $SU(3)$ gluodynamics
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