The Infrared Behaviour of the Running Coupling in Landau Gauge QCD
Abstract
Approximate solutions for the gluon and ghost propagators as well as the running coupling in Landau gauge Yang-Mills theories are presented. These propagators obtained from the corresponding Dyson-Schwinger equations are in remarkable agreement with those of recent lattice calculations. The resulting running coupling possesses an infrared fixed point, αS(0) = 8.92/Nc for all gauge groups SU(Nc). Above one GeV the running coupling rapidly approaches its perturbative form.
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