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

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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, \(\alpha(0) = 8.92/N_c\). Two different fits for the scale dependence of the running coupling are given and discussed.

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Authors and Affiliations

  1. Institute for Theoretical Physics, University of Tübingen, Auf der Morgenstelle 14, D-72076, Tübingen, Germany

    R. Alkofer & C. S. Fischer

  2. Institute for Theoretical Physics III, University of Erlangen-Nürnberg, Staudtstr. 7, D-91058, Erlangen, Germany

    L. von Smekal

Authors
  1. R. Alkofer
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  2. C. S. Fischer
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  3. L. von Smekal
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Corresponding author

Correspondence to R. Alkofer.

Additional information

Received: 30 September 2002, Published online: 22 October 2003

PACS:

12.38.Aw General properties of QCD (dynamics, confinement, etc.) - 14.70.Dj Gluons - 12.38.Lg Other nonperturbative calculations - 11.15.Tk Other nonperturbative techniques - 02.30.Rz Integral equations

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Alkofer, R., Fischer, C.S. & von Smekal, L. Infrared exponents and the running coupling of Landau gauge QCD and their relation to confinement. Eur. Phys. J. A 18, 261–264 (2003). https://doi.org/10.1140/epja/i2002-10212-8

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  • DOI: https://doi.org/10.1140/epja/i2002-10212-8

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