Domain wall network as QCD vacuum: confinement, chiral symmetry, hadronization

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 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 $U_{\mathrm{A}}(1)$ 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. Systematic results for the mass spectrum and decay constants of radially excited light, heavy-light mesons and heavy quarkonia are presented. Relationship of this approach to the results of functional renormalization group and Dyson-Schwinger equations, and the picture of harmonic confinement is briefly outlined.

Talk given at XIIth Quark Confinement and the Hadron Spectrum, 29th August - 3rd September 2016, Thessaloniki (Greece); 8 pages, 7 figures

References in corpus (10)

• Big-Bang Nucleosynthesis
• Chiral symmetry breaking in continuum QCD
• Mass spectra and Regge trajectories of light mesons in the Bethe-Salpeter approach
• Gluon condensation and scaling exponents for the propagators in Yang-Mills theory
• Accounting for the analytical properties of the quark propagator from Dyson-Schwinger equation
• Regge spectra of excited mesons, harmonic confinement and QCD vacuum structure
• Domain wall network as QCD vacuum and the chromomagnetic trap formation under extreme conditions
• Weyl group, CP and the kink-like field configurations in the effective SU(3) gauge theory
• Mass in Quantum Yang-Mills Theory
• Symmetry breaking, subgroup embeddings and the Weyl group