Speaker
Description
An overview of the
properties of an effective meson action based on the description of the QCD
vacuum in terms of a mean field corresponding to a statistical ensemble of almost
everywhere homogeneous Abelian (anti-) self-dual gluon fields represented in the
form of domain wall networks is given. Such a mean field ensures the confinement
of static and dynamic quarks and determines the nature of the realization of chiral
symmetry. This approach provides quite coherent formalism for calculation of the
mass spectrum of mesons from pion to upsilonium, studying the effects of strong,
weak and electromagnetic interactions of mesons (decay constants and form
factors). In particular, the role of strong electromagnetic field as a deconfinement
catalyst is highlighted. A brief discussion is given of the relationship of this mean
field approach with the results of the functional renormalization group,
Dyson-Schwinger and Bethe-Salpeter equations, soft wall AdS/QCD models, etc.