Infrared behaviour of the ghost-gluon vertex in Landau gauge Yang-Mills theory

Details Infrared behaviour of the ghost-gluon vertex in Landau gauge Yang-Mills theory Infrared behaviour of the ghost-gluon vertex in Landau gauge Yang-Mills theory

2004-11-03

arxiv.org/abs/hep-ph/0411052v2

Phys.Rev. D72 (2005) 014017

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, 5 figures, to be published in Phys. Rev. D, appendix added

Scientific paper

10.1103/PhysRevD.72.014017

A semi-perturbative calculation of the ghost-gluon vertex in Landau gauge Yang-Mills theory in four and three Euclidean space-time dimensions is presented. Non-perturbative gluon and ghost propagators are employed, which have previously been calculated from a truncated set of Dyson--Schwinger equations and which are in qualitative and quantitative agreement with corresponding lattice results. Our results for the ghost-gluon vertex show only relatively small deviations from the tree-level one in agreement with recent lattice data. In particular, we do not see any sign for a singular behaviour of the ghost-gluon vertex in the infrared.

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