Perturbative expansion of the plaquette to ${\cal O}(\alpha^{35})$ in four-dimensional SU(3) gauge theory - INSPIRE

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Perturbative expansion of the plaquette to ${\cal O}(\alpha^{35})$ in four-dimensional SU(3) gauge theory

Gunnar S. Bali
(
- Regensburg U. and
- Tata Inst.
)
,
Clemens Bauer
(
- Regensburg U.
)
,
Antonio Pineda
(
- Barcelona, Autonoma U.
)

Jan 30, 2014

52 pages

Published in:

Phys.Rev.D 89 (2014) 054505

Published: Mar 17, 2014

e-Print:

1401.7999 [hep-ph]

DOI:

10.1103/PhysRevD.89.054505

View in:

ADS Abstract Service

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Abstract: (APS)

Using numerical stochastic perturbation theory, we determine the first 35 infinite volume coefficients of the perturbative expansion in powers of the strong-coupling constant $$\alpha${}$ 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 $\overline{\mathrm{MS}}$ scheme. We also comment on the impact of the renormalon on nonperturbative determinations of the gluon condensate.

Note:

52 pages, 9 figures. Minor changes. One reference added. To meet journal version

gauge field theory: SU(3)
lattice field theory
perturbation theory: stochastic
perturbation theory: higher-order
expansion: higher-order
expansion: strong coupling
quantum chromodynamics
renormalon
gluon: condensation
regularization: lattice

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