Perturbative expansion of the plaquette to O(alpha(35)) in four-dimensional SU(3) gauge theory

Bali, Gunnar S. and Bauer, Clemens and Pineda, Antonio (2014) Perturbative expansion of the plaquette to O(alpha(35)) in four-dimensional SU(3) gauge theory. PHYSICAL REVIEW D, 89 (5): 054505. ISSN 2470-0010, 2470-0029

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Abstract

Using numerical stochastic perturbation theory, we determine the first 35 infinite volume coefficients of the perturbative expansion in powers of the strong-coupling constant a of the plaquette in SU(3) gluodynamics. These coefficients are obtained in lattice regularization with the standard Wilson gauge action. The onset of the dominance of the dimension-four renormalon associated to the gluon condensate is clearly observed. We determine the normalization of the corresponding singularity in the Borel plane and convert this into the MS scheme. We also comment on the impact of the renormalon on nonperturbative determinations of the gluon condensate.

Item Type: Article
Uncontrolled Keywords: HEAVY-QUARK; GLUON CONDENSATE; BETA-FUNCTION; WILSON LOOPS; POLE MASS; LATTICE; RENORMALONS; RENORMALIZATION; SCALE;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Gunnar Bali
Depositing User: Dr. Gernot Deinzer
Date Deposited: 15 Nov 2019 14:04
Last Modified: 15 Nov 2019 14:04
URI: https://pred.uni-regensburg.de/id/eprint/10462

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