Are the dressed gluon and ghost propagators in the Landau gauge presently determined in the confinement regime of QCD?

Journal Article · Tue Nov 01 04:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.84.094028· OSTI ID:21608034

Pennington, M R ^[1]; Wilson, D J ^[2]

---

1. Theory Center, Thomas Jefferson National Accelerator Facility, 12000 Jefferson Avenue, Newport News, Virginia 23606 (United States)
2. Argonne National Laboratory, Argonne, Illinois 60439 (United States)

The gluon and ghost propagators in Landau gauge QCD are investigated using the Schwinger-Dyson equation approach. Working in Euclidean spacetime, we solve for these propagators using a selection of vertex inputs, initially for the ghost equation alone and then for both propagators simultaneously. The results are shown to be highly sensitive to the choices of vertices. We favor the infrared finite ghost solution from studying the ghost equation alone where we argue for a specific unique solution. In order to solve this simultaneously with the gluon using a dressed-one-loop truncation, we find that a nontrivial full ghost-gluon vertex is required in the vanishing gluon momentum limit. The self-consistent solutions we obtain correspond to having a masslike term in the gluon propagator dressing, in agreement with similar studies supporting the long-held proposal of Cornwall.

• OSTI ID: 21608034
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 9 Vol. 84; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
CONFINEMENT
DIFFERENTIAL EQUATIONS
EQUATIONS
EUCLIDEAN SPACE
FIELD THEORIES
GAUGE INVARIANCE
GLUONS
INVARIANCE PRINCIPLES
MATHEMATICAL SOLUTIONS
MATHEMATICAL SPACE
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
RIEMANN SPACE
SCHWINGER FUNCTIONAL EQUATIONS
SIMULATION
SPACE
SPACE-TIME