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.

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

References in corpus (7)

• Infrared Properties of QCD from Dyson-Schwinger equations
• The quark-gluon vertex in Landau gauge QCD: Its role in dynamical chiral symmetry breaking and quark confinement
• Three-point vertices in Landau-gauge Yang-Mills theory
• On the running coupling constant in QCD
• Infrared behaviour of the ghost-gluon vertex in Landau gauge Yang-Mills theory
• QCD coupling below 1 GeV from quarkonium spectrum
• The running coupling from the four-gluon vertex in Landau gauge Yang-Mills theory