The Infrared Behaviour of the Running Coupling in Landau Gauge QCD

Physics – High Energy Physics – High Energy Physics - Phenomenology

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8 pages, 3 figures, uses ActaStyle.cls, Invited talk given by R.A. at the conference RENORMALIZATION GROUP 2002, March 10 - 16

Scientific paper

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, $\alpha_S(0) = 8.92/N_c$ for all gauge groups SU($N_c$). Above one GeV the running coupling rapidly approaches its perturbative form.

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