Journal
INTERNATIONAL JOURNAL OF MODERN PHYSICS E
Volume 12, Issue 3, Pages 297-365Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218301303001326
Keywords
Bethe-Salpeter equation; confinement; dynamical Chiral symmetry breaking; Dyson-Schwinger equations; electroweak and strong form factors; Faddeev equation; hadron physics; QCD modelling
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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.
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