Vertex Sensitivity in the Schwinger-Dyson Equations of QCD
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 (TJNAF), 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; TRN: US1202507
- Journal Information:
- Proceedings of Science, Vol. PoS(QCD-TNT-II); Conference: QCD-TNT-II , 5-9 September 2011, Trento, Italy
- Country of Publication:
- United States
- Language:
- English
Similar Records
Nonperturbative comparison of QCD effective charges
A solution to coupled Dyson{endash}Schwinger equations for gluons and ghosts in Landau gauge