Infrared Exponents and the Running Coupling of Landau gauge QCD and their Relation to Confinement

Abstract

The infrared behaviour of the gluon and ghost propagators in Landau gauge QCD is reviewed. The Kugo-Ojima confinement criterion and the Gribov-Zwanziger horizon condition result from quite general properties of the ghost Dyson-Schwinger equation. The numerical solutions for the gluon and ghost propagators obtained from a truncated set of Dyson-Schwinger equations provide an explicit example for the anticipated infrared behaviour. The results are in good agreement with corresponding lattice data obtained recently. The resulting running coupling approaches a fix point in the infrared, $\alpha (0)=8.92/N_c$. Two different fits for the scale dependence of the running coupling are given and discussed.

arXiv comment3 pages, 3 figures; talk given by R.A. at the conference Quark Nuclear Physics 2002

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Cited by in corpus (5)

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• Spectral series of the Schrödinger operator with delta-potential on a three-dimensional spherically symmetric manifold
• Pseudoscalar qqbar mesons and effective QCD coupling enhanced by <A^2> condensate
• Exploring the Tan contact term in Yang-Mills theory