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

Journal Article · Fri Jan 22 00:00:00 EST 2016 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4938616· OSTI ID:22499027

Bali, Gunnar S. ^[1]; Pineda, Antonio ^[2]

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1. Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg (Germany)
2. Grup de Física Teòrica and IFAE, Universitat Autònoma de Barcelona, E-08193 Bellaterra, Barcelona (Spain)

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 α{sup 35} and α{sup 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.

• OSTI ID: 22499027
• Journal Information: AIP Conference Proceedings, Vol. 1701, Issue 1; Conference: 11. conference on quark confinement and hadron spectrum, Saint Petersburg (Russian Federation), 8-12 Sep 2014; Other Information: (c) 2016 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ASYMPTOTIC SOLUTIONS
B QUARKS
BINDING ENERGY
C QUARKS
CORRECTIONS
EXPANSION
GLUON CONDENSATION
MASS
OPERATOR PRODUCT EXPANSION
SELF-ENERGY
T QUARKS