Looking into the matter of light-quark hadrons

TL;DR

This paper discusses how Dyson-Schwinger equations help understand nonperturbative QCD phenomena like confinement and chiral symmetry breaking, linking theoretical insights with experimental data on light-quark hadrons.

Contribution

It highlights the role of Dyson-Schwinger equations in connecting QCD theory with observable hadron properties, emphasizing nonperturbative aspects like in-hadron condensates and hadron spectra.

Findings

Dyson-Schwinger equations relate confinement to chiral symmetry breaking.

In-hadron condensates are crucial for understanding hadron structure.

Hadron-hadron interactions significantly influence meson and baryon spectra.

Abstract

In tackling QCD, a constructive feedback between theory and extant and forthcoming experiments is necessary in order to place constraints on the infrared behaviour of QCD's \beta-function, a key nonperturbative quantity in hadron physics. The Dyson-Schwinger equations provide a tool with which to work toward this goal. They connect confinement with dynamical chiral symmetry breaking, both with the observable properties of hadrons, and hence provide a means of elucidating the material content of real-world QCD. This contribution illustrates these points via comments on: in-hadron condensates; dressed-quark anomalous chromo- and electro-magnetic moments; the spectra of mesons and baryons, and the critical role played by hadron-hadron interactions in producing these spectra.