Hyperasymptotic approximation to the plaquette and determination of the gluon condensate

被引：12

作者：

Ayala, Cesar ^{[1
]}

Lobregat, Xabier ^{[2
]}

Pineda, Antonio ^{[2
,3
,4
]}

机构：

[1] Univ Tecn Federico Santa Maria UTFSM, Dept Phys, Casilla 110-V, Valparaiso, Chile

[2] Barcelona Inst Sci & Technol, Inst Fis Altes Energies IFAE, Campus UAB, Bellaterra 08193, Barcelona, Spain

[3] Univ Autonoma Barcelona, Dept Fis, Grp Fis Teor, E-08193 Barcelona, Spain

[4] Univ Autonoma Barcelona, IFAE BIST, E-08193 Barcelona, Spain

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2020年 / 2020卷 / 12期

关键词：

Renormalization Regularization and Renormalons; Resummation; Lattice QCD; Nonperturbative Effects; 3-LOOP BETA-FUNCTION; GAUGE-THEORIES; LATTICE; SCALE;

D O I：

10.1007/JHEP12(2020)093

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

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: <mml:mfenced close="<right angle bracket>" open="<">G2</mml:mfenced>PV<mml:mfenced close=")" open="(">nf=0</mml:mfenced>=3.15<mml:mfenced close=")" open="(">18</mml:mfenced>r0-4.

引用

页数：21

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