Hadron physics and dynamical chiral symmetry breaking

TL;DR

This paper discusses how Dyson-Schwinger equations link confinement and chiral symmetry breaking to hadron properties, aiding understanding of nonperturbative QCD through experimental and theoretical insights.

Contribution

It highlights the role of Dyson-Schwinger equations in connecting confinement, chiral symmetry breaking, and observable hadron phenomena, offering a framework for understanding strong QCD.

Findings

In-hadron condensates are significant for hadron structure.

Dressed-quark moments influence hadron electromagnetic properties.

Hadron-hadron interactions are crucial for meson and baryon spectra.

Abstract

Physics is an experimental science; and a constructive feedback between theory and extant and forthcoming experiments is necessary if an understanding of nonperturbative QCD is to be achieved. The Dyson-Schwinger equations connect confinement with dynamical chiral symmetry breaking, both with the observable properties of hadrons, and hence can plausibly provide a means of elucidating the empirical content of strong QCD. We illustrate these points via comments on: in-hadron condensates; dressed-quark anomalous chromo- and electro-magnetic moments; the self-limiting magnitudes of such moments and pion-loop contributions to the gap equation; deep inelastic scattering; the spectra of mesons and baryons; the critical role played by hadron-hadron interactions in producing these spectra; and nucleon elastic and transition form factors.