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arXiv · 1201.1275

Vertex Sensitivity in the Schwinger-Dyson Equations of QCD

D. J. Wilson·M. R. Pennington
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Abstract

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.

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D. J. Wilson, M. R. Pennington. 2012-01-05. Vertex Sensitivity in the Schwinger-Dyson Equations of QCD. https://arxiv.org/abs/1201.1275

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