Compelling Evidence of Renormalons in QCD from High Order Perturbative Expansions
Authors:
- Gunnar S. BaliGBGunnar S. Bali
- Antonio PinedaAPAntonio Pineda
- 12 June 2012
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 108 (24) , 242002
Abstract
We compute the static self-energy of SU(3) gauge theory in four spacetime dimensions to order $\alpha${}20 in the strong coupling constant $\alpha${}. 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.Keywords
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This publication has 28 references indexed in Scilit:
- High orders perturbation theory and dual models for Yang-Mills theoriesNuclear Physics B - Proceedings Supplements, 2010
- Divergent perturbation seriesJournal of Experimental and Theoretical Physics, 2005
- Separating perturbative and non-perturbative contributions to the plaquetteNuclear Physics B - Proceedings Supplements, 2002
- RenormalonsPhysics Reports, 1999
- Λ2-contribution to the condensate in lattice gauge theoryPhysics Letters B, 1998
- Renormalons from eight-loop expansion of the gluon condensate in lattice gauge theoryNuclear Physics B, 1995
- Heavy quark effective theory beyond perturbation theory: renormalons, the pole mass and the residual mass termNuclear Physics B, 1994
- Pole mass of the heavy quark: Perturbation theory and beyondPhysical Review D, 1994
- Non-perturbative effects and infrared renormalons within the 1/N expansion of the O(N) non-linear sigma modelNuclear Physics B, 1982
- Confinement of quarksPhysical Review D, 1974