2003/01/15 by Pieter Maris, P. Maris, Craig D. Roberts +1 · 586 citations
Mathematics · Physics and Astronomy · #Baryon #Chiral symmetry breaking #Covariant transformation #Hadron #High-Energy Particle Collisions Research #Mathematical physics #Mathematics #Meson #Observable #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #Symmetry (geometry) #Theoretical physics #hep-ex #hep-lat #hep-ph #nucl-ex #nucl-th
paper · pdf · doi:10.1142/s0218301303001326
published in International Journal of Modern Physics E 12(03), 297-365 (World Scientific) · 67 pages, LaTeX2e, Review
arxiv created 2003/01/15 · openalex publication_date 2003/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Dyson–Schwinger equations furnish a Poincaré covariant framework within which to study hadrons. A particular feature is the existence of a nonperturbative, symmetry preserving truncation that enables the proof of exact results. The gap equation reveals that dynamical chiral symmetry breaking is tied to the long-range behavior of the strong interaction, which is thereby constrained by observables, and the pion is precisely understood, and seen to exist simultaneously as a Goldstone mode and a bound state of strongly dressed quarks. The systematic error associated with the simplest truncation has been quantified, and it underpins a one-parameter model efficacious in describing an extensive body of mesonic phenomena. Incipient applications to baryons have brought successes and encountered challenges familiar from early studies of mesons, and promise a covariant field theory upon which to base an understanding of contemporary large momentum transfer data.