Perturbation theory of non-perturbative QCD

Abstract

Perturbation theory is shown to be working in the IR limit of pure SU(3) Yang-Mills theory in Landau gauge by an unconventional setting of the perturbative expansion. A dynamical mass is predicted for the gluon and the lattice data are reproduced fairly well by a second-order expansion, without any free parameter. The effective running coupling is small in the IR and the approximation can be improved by inclusion of higher order terms.

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• Screened massive expansion of the quark propagator in the Landau gauge