Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2003-01-15
Int.J.Mod.Phys.E12:297-365,2003
Physics
Nuclear Physics
Nuclear Theory
67 pages, LaTeX2e, Review
Scientific paper
10.1142/S0218301303001326
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 behaviour 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.
Maris Pieter
Roberts Christopher D.
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