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

Wolfgang Schleifenbaum·Axel Maas·Jochen Wambach·Reinhard Alkofer
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Abstract

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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Wolfgang Schleifenbaum, Axel Maas, Jochen Wambach, Reinhard Alkofer. 2005-07-25. Infrared behaviour of the ghost-gluon vertex in Landau gauge Yang-Mills theory. https://doi.org/10.1103/physrevd.72.014017

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