Vertex functions and infrared fixed point in Landau gauge SU(N) Yang-Mills theory

Details Vertex functions and infrared fixed point in Landau gauge SU(N) Yang-Mills theory Vertex functions and infrared fixed point in Landau gauge SU(N) Yang-Mills theory

2004-12-30

arxiv.org/abs/hep-th/0412330v2

Phys.Lett.B611:279-288,2005; Erratum-ibid.670:460-461,2009

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 8 figures, v2: typos corrected, version to be published in PLB

Scientific paper

10.1016/j.physletb.2005.02.043 1

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.

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