Hyperasymptotic approximation to the plaquette and determination of the gluon condensate
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 a...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-12-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP12(2020)093 |
| _version_ | 1818665447331987456 |
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| author | Cesar Ayala Xabier Lobregat Antonio Pineda |
| author_facet | Cesar Ayala Xabier Lobregat Antonio Pineda |
| author_sort | Cesar Ayala |
| collection | DOAJ |
| description | 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: G 2 PV n f = 0 = 3.15 18 r 0 − 4 $$ {\left\langle {G}^2\right\rangle}_{\mathrm{PV}}\left({n}_f=0\right)=3.15(18){r}_0^{-4} $$ . |
| first_indexed | 2024-12-17T05:48:47Z |
| format | Article |
| id | doaj.art-db392f1fdf6541bfa643501baa9209a9 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-17T05:48:47Z |
| publishDate | 2020-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-db392f1fdf6541bfa643501baa9209a92022-12-21T22:01:13ZengSpringerOpenJournal of High Energy Physics1029-84792020-12-0120201212110.1007/JHEP12(2020)093Hyperasymptotic approximation to the plaquette and determination of the gluon condensateCesar Ayala0Xabier Lobregat1Antonio Pineda2Department of Physics, Universidad Técnica Federico Santa María (UTFSM)Institut de Física d’Altes Energies (IFAE), The Barcelona Institute of Science and TechnologyInstitut de Física d’Altes Energies (IFAE), The Barcelona Institute of Science and TechnologyAbstract 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: G 2 PV n f = 0 = 3.15 18 r 0 − 4 $$ {\left\langle {G}^2\right\rangle}_{\mathrm{PV}}\left({n}_f=0\right)=3.15(18){r}_0^{-4} $$ .https://doi.org/10.1007/JHEP12(2020)093Renormalization Regularization and RenormalonsResummationLattice QCDNonperturbative Effects |
| spellingShingle | Cesar Ayala Xabier Lobregat Antonio Pineda Hyperasymptotic approximation to the plaquette and determination of the gluon condensate Journal of High Energy Physics Renormalization Regularization and Renormalons Resummation Lattice QCD Nonperturbative Effects |
| title | Hyperasymptotic approximation to the plaquette and determination of the gluon condensate |
| title_full | Hyperasymptotic approximation to the plaquette and determination of the gluon condensate |
| title_fullStr | Hyperasymptotic approximation to the plaquette and determination of the gluon condensate |
| title_full_unstemmed | Hyperasymptotic approximation to the plaquette and determination of the gluon condensate |
| title_short | Hyperasymptotic approximation to the plaquette and determination of the gluon condensate |
| title_sort | hyperasymptotic approximation to the plaquette and determination of the gluon condensate |
| topic | Renormalization Regularization and Renormalons Resummation Lattice QCD Nonperturbative Effects |
| url | https://doi.org/10.1007/JHEP12(2020)093 |
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