Vertex functions and infrared fixed point in Landau gauge SU(N) Yang-Mills theory
arXiv:hep-th/0412330 · doi:10.1016/j.physletb.2005.02.043 10.1016/j.physletb.2008.11.068
Abstract
The infrared behaviour of vertex functions in an SU(N) Yang-Mills theory in Landau gauge is investigated employing a skeleton expansion of the Dyson-Schwinger equations. The three- and four-gluon vertices become singular if and only if all external momenta vanish while the dressing of the ghost-gluon vertex remains finite in this limit. The running coupling as extracted from either of these vertex functions possesses an infrared fixed point. In general, diagrams including ghost-loops dominate in the infrared over purely gluonic ones.
14 pages, 8 figures, v2: typos corrected, version to be published in PLB
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