Vertex Sensitivity in the Schwinger-Dyson Equations of QCD

Conference · Sun Jan 01 04:00:00 EST 2012 · Proceedings of Science

OSTI ID:1040693

The nonperturbative gluon and ghost propagators in Landau gauge QCD are obtained using the Schwinger-Dyson equation approach. The propagator equations are solved in Euclidean space using Landau gauge with a range of vertex inputs. Initially we solve for the ghost alone, using a model gluon input, which leads us to favour a finite ghost dressing in the nonperturbative region. In order to then solve the gluon and ghost equations simultaneously, we find that non-trivial vertices are required, particularly for the gluon propagator in the small momentum limit. We focus on the properties of a number vertices and how these differences influence the final solutions. The self-consistent solutions we obtain are all qualitatively similar and contain a mass-like term in the gluon propagator dressing in agreement with related studies, supporting the long-held proposal of Cornwall.

• Research Organization: Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• DOE Contract Number: AC05-06OR23177
• OSTI ID: 1040693
• Report Number(s): JLAB-THY-12-1511; DOE/OR/23177-2127
• Conference Information: Journal Name: Proceedings of Science Journal Volume: PoS(QCD-TNT-II)
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DYSON REPRESENTATION
EUCLIDEAN SPACE
GAUGE INVARIANCE
GLUONS
PROPAGATOR
QUANTUM CHROMODYNAMICS
SCHWINGER FUNCTIONAL EQUATIONS
SENSITIVITY