Alkofer, ReinhardFischer, Christian S.von Smekal, Lorenz Johann Maria2007-08-272007-08-272003European Physical Journal A - Hadrons and Nuclei, 2003; 18 (2-3):261-2641434-6001http://hdl.handle.net/2440/37504The 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, α(0)=8.92/Nc. Two different fits for the scale dependence of the running coupling are given and discussed.enJournal article002006601610.1140/epja/i2002-10212-80001868900000302-s2.0-0344925728