Pion observables and the notion of constituent quarks

Journal Article · Sat Apr 01 04:00:00 EST 1995 · Bulletin of the American Physical Society

OSTI ID:374708

Frank, M R; Roberts, C D

The Dyson Schwinger equation for the quark self energy is employed to investigate the singularity structure of the quark propagator. An effective gluon two-point function, which is free of singularities and consistent with the known asymptotic form, is used to represent the quark-quark interaction. The parameters introduced by the gluon two-point function are constrained by pion observables through the equivalence of the Dyson Schwinger and pion Bethe-Salpeter equations for on-shell pions (a result of Goldstone`s theorem). With the parameters fixed, the Dyson-Schwinger equation is used to investigate the singularity structure of the quark propagator through continuation into the complex plane. The quark appears as a broad resonance centered at the expected constituent quark mass. Comments are made on the relevance of this result to confinement and the relativistic investigation of meson spectroscopy.

• Research Organization: Argonne National Laboratory (ANL), Argonne, IL
• DOE Contract Number: FG06-90ER40561; W-31109-ENG-38
• OSTI ID: 374708
• Report Number(s): CONF-9304297--
• Journal Information: Bulletin of the American Physical Society, Journal Name: Bulletin of the American Physical Society Journal Issue: 2 Vol. 40; ISSN 0003-0503; ISSN BAPSA6
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
COMPOSITE MODELS
PIONS
PROPAGATOR
QUARK-QUARK INTERACTIONS
QUARKS