Dyson-Schwinger equations : a tool for hadron physics.

Journal Article · Sun Jun 01 00:00:00 EDT 2003 · Int. J. Mod. Phys. E

DOI:https://doi.org/10.1142/S0218301303001326· OSTI ID:961168

Maris, P; Roberts, C D

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.

• Research Organization: Argonne National Lab. (ANL), Argonne, IL (United States)
• Sponsoring Organization: USDOE Office of Science (SC); OGA
• DOE Contract Number: DE-AC02-06CH11357
• OSTI ID: 961168
• Report Number(s): ANL/PHY/JA-45203; TRN: US1003270
• Journal Information: Int. J. Mod. Phys. E, Vol. 12, Issue 3 ; Jun. 2003
• Country of Publication: United States
• Language: ENGLISH

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BARYONS
BETHE-SALPETER EQUATION
BOUND STATE
CHIRAL SYMMETRY
CONFINEMENT
EQUATIONS
ERRORS
FADDEEV EQUATIONS
FORM FACTORS
HADRONS
MESONS
MOMENTUM TRANSFER
PHYSICS
PIONS
QUANTUM CHROMODYNAMICS
QUARKS
SIMULATION
STRONG INTERACTIONS
SYMMETRY
SYMMETRY BREAKING