%0 Journal Article %A Llanes Estrada, Felipe José %A Alkofer, R %A Fischer, CS %T Vertex functions and infrared fixed point in Landau gauge SU(N) Yang-Mills theory %D 2005 %@ 0370-2693 %U https://hdl.handle.net/20.500.14352/50849 %X 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 %~