Infrared exponents and the running coupling of Landau gauge QCD and their relation to confinement

Date

2003

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Alkofer, Reinhard
Fischer, Christian S.
von Smekal, Lorenz Johann Maria

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European Physical Journal A - Hadrons and Nuclei, 2003; 18 (2-3):261-264

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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/Nc. Two different fits for the scale dependence of the running coupling are given and discussed.

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School of Chemistry and Physics : Physics and Mathematical Physics

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