Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2012-01-05
PoS(QCD-TNT-II)052, 2011
Physics
High Energy Physics
High Energy Physics - Phenomenology
12 pages, 8 figures. Contribution to the International Workshop on QCD Green's Functions, Confinement and Phenomenology, Septe
Scientific paper
The non-perturbative 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 non-perturbative 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 masslike term in the gluon propagator dressing in agreement with related studies, supporting the long-held proposal of Cornwall.
Pennington M. R.
Wilson Dalziel J.
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