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

TL;DR

This paper reviews a QCD vacuum model using homogeneous Abelian (anti-)self-dual gluon fields, explaining confinement, chiral symmetry, and hadronization, and presents results for meson spectra and decay constants.

Contribution

It introduces a novel ensemble-based approach to QCD vacuum that unifies confinement, chiral symmetry breaking, and hadronization with explicit meson properties.

Findings

Mass spectrum of light and heavy mesons computed.

Decay constants of various mesons determined.

Connections to functional renormalization group and Dyson-Schwinger equations established.

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 $SU_{\mathrm L}(N_f)\times SU_{\mathrm R}(N_f)$ 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.