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arXiv · hep-ph/0209366

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

Reinhard Alkofer·Christian S. Fischer·Lorenz von Smekal
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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, $α(0) = 8.92/N_c$. Two different fits for the scale dependence of the running coupling are given and discussed.

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Reinhard Alkofer, Christian S. Fischer, Lorenz von Smekal. 2002-09-30. Infrared Exponents and the Running Coupling of Landau gauge QCD and their Relation to Confinement. https://doi.org/10.1140/epja%2Fi2002-10212-8

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