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Phys Rev Lett. 2012 Jun 15;108(24):242002. doi: 10.1103/PhysRevLett.108.242002. Epub 2012 Jun 12.

Compelling evidence of renormalons in QCD from high order perturbative expansions.

Physical review letters

Clemens Bauer, Gunnar S Bali, Antonio Pineda

Affiliations

  1. Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg, Germany.

PMID: 23004262 DOI: 10.1103/PhysRevLett.108.242002

Abstract

We compute the static self-energy of SU(3) gauge theory in four spacetime dimensions to order α20 in the strong coupling constant α. We employ lattice regularization to enable a numerical simulation within the framework of stochastic perturbation theory. We find perfect agreement with the factorial growth of high order coefficients predicted by the conjectured renormalon picture based on the operator product expansion.

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