Phenomenology of renormalons and the OPE from lattice regularization: the gluon condensate and the heavy quark pole mass

Abstract

We study the operator product expansion of the plaquette (gluon condensate) and the self-energy of an infinitely heavy quark. We first compute their perturbative expansions to order ${\alpha }^{35}$ and ${\alpha }^{20}$, respectively, in the lattice scheme. In both cases we reach the asymptotic regime where the renormalon behavior sets in. Subtracting the perturbative series, we obtain the leading non-perturbative corrections of their respective operator product expansions. In the first case we obtain the gluon condensate and in the second the binding energy of the heavy quark in the infinite mass limit. The results are fully consistent with the expectations from renormalons and the operator product expansion.

Talk given at the 11th Conference Quark Confinement and the Hadron Spectrum, September 8-12, 2014, Saint-Petersburg, Russia; 12 pages, 6 figures

References in corpus (5)

• 1/q^2 Corrections and Gauge/String Duality
• Dimension-two gluon condensate from large-Nc Regge models
• The non-perturbative part of the plaquette in quenched QCD
• Renormalon Subtraction from the Average Plaquette and the Gluon Condensate
• Stochastic Perturbation Theory and the Gluon Condensate

Cited by in corpus (7)

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• Renormalon-free definition of the gluon condensate within the large-${\beta }_0$ approximation
• Infrared renormalon in $SU(N)$ QCD(adj.) on ${\mathbb{R}}^3\times S^1$
• Diagrammatic Monte-Carlo for weak-coupling expansion of non-Abelian lattice field theories: large-N U(N)xU(N) principal chiral model
• Theoretical description of the plaquette with exponential accuracy
• Feasibility of Diagrammatic Monte-Carlo based on weak-coupling expansion in asymptotically free theories: case study of $O(N)$ sigma-model in the large-$N$ limit