Dynamical chiral symmetry breaking and confinement with an infrared-vanishing gluon propagator

Journal Article · Sun May 01 04:00:00 EDT 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.49.4683· OSTI ID:5074110

Hawes, F T ^[1]; Roberts, C D ^[2]; Williams, A G ^[3]

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1. Department of Physics and SCRI, Florida State University, Tallahassee, Florida 32306-3016 (United States)
2. Physics Division, Argonne National Laboratory, Argonne, Illinois 60439-4843 (United States)
3. Department of Physics and Mathematical Physics, University of Adelaide, Adelaide 5001, South Australia (Australia)

We study a model Dyson-Schwinger equation for the quark propagator closed using an [ital Ansatz] for the gluon propagator of the form [ital D]([ital q])[similar to][ital q][sup 2]/[([ital q][sup 2])[sup 2]+[ital b][sup 4]] and two [ital Ansa]$[ital uml---tze] for the quark-gluon vertex: the minimal Ball-Chiu form and the modified form suggested by Curtis and Pennington. Using the quark condensate as an order parameter, we find that there is a critical value of [ital b]=[ital b][sub [ital c]] such that the model does not support dynamical chiral symmetry breaking for [ital b][gt][ital b][sub [ital c]]. We discuss and apply a confinement test which suggests that, for all values of [ital b], the quark propagator in the model [ital is] [ital not] confining. Together these results suggest that this [ital Ansatz] for the gluon propagator is inadequate as a model since it does not yield the expected behavior of QCD.

• DOE Contract Number: FC05-85ER25000
• OSTI ID: 5074110
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 49:9; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
662230* -- Quantum Chromodynamics-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
CHIRAL SYMMETRY
CONFINEMENT
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
GLUONS
ORDER PARAMETERS
POSTULATED PARTICLES
PROPAGATOR
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARKS
SYMMETRY
SYMMETRY BREAKING