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

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

2002-09-30

arxiv.org/abs/hep-ph/0209366v1

Eur.Phys.J. A17 (2003) 773

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1140/epja/i2002-10212-8

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.

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