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

Journal Article · Sun May 01 00:00:00 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), Vol. 49:9; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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