Hyperasymptotic approximation to the plaquette and determination of the gluon condensate

Cesar Ayala; Xabier Lobregat; Antonio Pineda

doi:10.1007/JHEP12(2020)093

Hyperasymptotic approximation to the plaquette and determination of the gluon condensate

Cesar Ayala
, Xabier Lobregat
, Antonio Pineda

Universidad Técnica Federico Santa Maria
Institute for High Energy Physics
Autonomous University of Barcelona

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

We give the hyperasymptotic expansion of the plaquette with a precision that includes the terminant associated to the leading renormalon. Subleading effects are also considered. The perturbative series is regulated using the principal value prescription for its Borel integral. We use this analysis to give a determination of the gluon condensate in SU(3) pure gluodynamics that is independent of the scale and renormalization scheme used for the coupling constant: 〈G2〉PV(nf=0)=3.15(18)r0−4.

Original language	English
Article number	93
Journal	Journal of High Energy Physics
Volume	2020
Issue number	12
DOIs	https://doi.org/10.1007/JHEP12(2020)093
State	Published - Dec 2020
Externally published	Yes

Keywords

Lattice QCD
Nonperturbative Effects
Renormalization Regularization and Renormalons
Resummation

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10.1007/JHEP12(2020)093

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AU - Lobregat, Xabier

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AB - We give the hyperasymptotic expansion of the plaquette with a precision that includes the terminant associated to the leading renormalon. Subleading effects are also considered. The perturbative series is regulated using the principal value prescription for its Borel integral. We use this analysis to give a determination of the gluon condensate in SU(3) pure gluodynamics that is independent of the scale and renormalization scheme used for the coupling constant: 〈G2〉PV(nf=0)=3.15(18)r0−4.

KW - Lattice QCD

KW - Nonperturbative Effects

KW - Renormalization Regularization and Renormalons

KW - Resummation

UR - https://www.scopus.com/pages/publications/85097621668

U2 - 10.1007/JHEP12(2020)093

DO - 10.1007/JHEP12(2020)093

M3 - Article

AN - SCOPUS:85097621668

SN - 1126-6708

VL - 2020

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 12

M1 - 93

ER -

Hyperasymptotic approximation to the plaquette and determination of the gluon condensate

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Keywords

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