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

  • R. Alkofer
  • C. S. Fischer
  • L. von Smekal
Conference paper

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.

Keywords

Entropy Expense Ghost Bonnet 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • R. Alkofer
    • 1
  • C. S. Fischer
    • 1
  • L. von Smekal
    • 2
  1. 1.Institute for Theoretical PhysicsUniversity of TübingenTübingenGermany
  2. 2.Institute for Theoretical Physics IIIUniversity of Erlangen-NürnbergErlangenGermany

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