Dyson–Schwinger Equations: A Tool for Hadron Physics

By P. Maris, C. Roberts. 2003

415 citations recorded by the source corpus.

Dyson–Schwinger equations furnish a Poincare 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.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/2597bf30ac6064204c1a68737eb6c8d4d62df119

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In Nuclear and High Energy Physics

Citations in the corpus

Baryons as relativistic three-quark bound states (2016, background): “While this does not speak for its broad applicability in the meson sector, the same features also hold for their structure properties such as form factors, decays and more [188, 395]; thus for processes involving pions, kaons, ρ mesons etc.”
QCD at finite temperature and chemical potential from Dyson–Schwinger equations (2018, background): “Many more details can be found in a number of review articles focusing on different aspects [15, 178, 193, 268–270, 300–306].”