Hadron Physics: The Essence of Matter

TL;DR

This paper explores how dynamical chiral symmetry breaking (DCSB) in QCD explains hadron mass generation and related phenomena, using Dyson-Schwinger equations to connect theory with experimental data.

Contribution

It provides a comprehensive DSE-based analysis of DCSB, linking it to observable hadron properties and emphasizing the importance of experimental feedback in understanding QCD's infrared behavior.

Findings

Derived a model-independent pion susceptibility result

Explained the origin of the a_1-rho mass splitting

Analyzed the impact of DCSB on electromagnetic form factors

Abstract

Dynamical chiral symmetry breaking (DCSB) is a remarkably effective mass generating mechanism. It is also, amongst other things, the foundation for a successful application of chiral effective field theories, the origin of constituent-quark masses, and intimately connected with confinement in QCD. Using the Dyson-Schwinger equations (DSEs), we explain the origin and nature of DCSB, and elucidate some of its consequences, e.g.: a model-independent result for the pion susceptibility; the generation of a quark anomalous chromomagnetic moment, which may explain the longstanding puzzle of the a_1-rho mass splitting; its impact on the behaviour of the electromagnetic pion form factor -- thereby illustrating how data can be used to chart the momentum-dependence of the dressed-quark mass function; in the form of the pion and kaon valence-quark parton distribution functions, and the relation between them; and aspects of the neutron's electromagnetic form factors, in particular F_1^u/F_1^d and G_M^n. We argue that in solving QCD, a constructive feedback between theory and extant and forthcoming experiments will most rapidly enable constraints to be placed on the infrared behaviour of QCD's \beta-function, the nonperturbative quantity at the core of hadron physics; and emphasise throughout the role played by confrontation with data as a means of verifying our understanding of Nature.