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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Alkofer, R., Fischer, C.S., von Smekal, L. (2003). Infrared exponents and the running coupling of Landau gauge QCD and their relation to confinement. In: Elster, C., Speth, J., Walcher, T. (eds) Refereed and selected contributions from International Conference on Quark Nuclear Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-09712-0_29
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DOI: https://doi.org/10.1007/978-3-662-09712-0_29
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