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arxiv: nucl-th/0301049 · v1 · submitted 2003-01-15 · ⚛️ nucl-th · hep-ex· hep-lat· hep-ph· nucl-ex

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Dyson-Schwinger equations: a tool for hadron physics

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classification ⚛️ nucl-th hep-exhep-lathep-phnucl-ex
keywords covariantdyson-schwingerequationssymmetrytruncationapplicationsassociatedbaryons
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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 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.

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