The four-gluon vertex and the running coupling in Landau gauge Yang-Mills theory

Abstract

We summarise results for the running coupling from the four-gluon vertex in Landau gauge, SU($N_c$) Yang-Mills theory as given by a combination of dressing functions of the vertex and the gluon propagator. These functions have been determined numerically from the corresponding set of Dyson-Schwinger equations. In the infrared we obtain a nontrivial infrared fixed point which is three orders of magnitude smaller than the corresponding one in the coupling of the ghost-gluon vertex.

arXiv comment6 pages, 1 figure. Talk given at ExcitedQCD 2009, Feb. 8-14, Zakopane, Poland

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