Excited light baryons from quark-gluon-level calculations

TL;DR

This paper reviews how Dyson-Schwinger equations, a non-perturbative continuum approach to QCD, help understand baryon spectra and structure directly from quark-gluon dynamics.

Contribution

It presents a comprehensive review of using Dyson-Schwinger equations to connect baryon properties with their quark-gluon substructure.

Findings

Provides insights into baryon spectrum and structure from quark-gluon level

Highlights the non-perturbative, covariant framework of Dyson-Schwinger equations

Connects hadron physics with fundamental QCD Green functions

Abstract

The task of mapping and explaining the spectrum of baryons and the structure of these states in terms of quarks and gluons is a longstanding challenge in hadron physics, which is likely to persist for another decade or more. We review the progress made in this topic using a functional method based on Dyson-Schwinger equations. This framework provides a non-perturbative, Poincar\'e-covariant continuum formulation of Quantum Chromodynamics which is able to extract novel insight on baryon properties since the physics at the hadron level is directly related with the underlying quark-gluon substructure, via convolution of Green functions.