Exposing the dressed quark's mass

TL;DR

This paper reviews recent advances in hadron physics using Dyson-Schwinger equations, highlighting how dynamical chiral symmetry breaking influences hadron properties and the dressed-quark mass function.

Contribution

It provides new insights into confinement, DCSB, and the dressed-quark mass function, with specific results on hadron spectrum and electromagnetic form factors.

Findings

Dressed-quark-core masses for nucleon and Delta calculated

Electromagnetic pion form factor affected by DCSB

Prediction of zero crossing in F_1^{p,d}/F_1^{p,u} at Q^2≈5m_N^2

Abstract

This snapshot of recent progress in hadron physics made in connection with QCD's Dyson-Schwinger equations includes: a perspective on confinement and dynamical chiral symmetry breaking (DCSB); a pre'cis on the physics of in-hadron condensates; results on the hadron spectrum, including dressed-quark-core masses for the nucleon and Delta, their first radial excitations, and the parity-partners of these states; an illustration of the impact of DCSB on the electromagnetic pion form factor, thereby exemplifying how data can be used to chart the momentum-dependence of the dressed-quark mass function; and a prediction that F_1^{p,d}/F_1^{p,u} passes through zero at Q^2\approx 5m_N^2 owing to the presence of nonpointlike scalar and axial-vector diquark correlations in the nucleon.