Five-loop renormalisation of QCD in covariant gauges
Abstract We present the complete set of vertex, wave function and charge renormalisation constants in QCD in a general simple gauge group and with the complete dependence on the covariant gauge parameter ξ in the minimal subtraction scheme of conventional dimensional regularisation. Our results conf...
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Format: | Article |
Language: | English |
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SpringerOpen
2017-10-01
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Series: | Journal of High Energy Physics |
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Online Access: | http://link.springer.com/article/10.1007/JHEP10(2017)179 |
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author | K. G. Chetyrkin G. Falcioni F. Herzog J.A.M. Vermaseren |
author_facet | K. G. Chetyrkin G. Falcioni F. Herzog J.A.M. Vermaseren |
author_sort | K. G. Chetyrkin |
collection | DOAJ |
description | Abstract We present the complete set of vertex, wave function and charge renormalisation constants in QCD in a general simple gauge group and with the complete dependence on the covariant gauge parameter ξ in the minimal subtraction scheme of conventional dimensional regularisation. Our results confirm all already known results, which were obtained in the Feynman gauge, and allow the extraction of other useful gauges such as the Landau gauge. We use these results to extract the Landau gauge five-loop anomalous dimensions of the composite operator A 2 as well as the Landau gauge scheme independent gluon, ghost and fermion propagators at five loops. |
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format | Article |
id | doaj.art-8ca228e812c1463ab733ba4140c18aa8 |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-12-10T12:30:57Z |
publishDate | 2017-10-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
spelling | doaj.art-8ca228e812c1463ab733ba4140c18aa82022-12-22T01:48:49ZengSpringerOpenJournal of High Energy Physics1029-84792017-10-0120171011810.1007/JHEP10(2017)179Five-loop renormalisation of QCD in covariant gaugesK. G. Chetyrkin0G. Falcioni1F. Herzog2J.A.M. Vermaseren3II Institut für Theoretische Physik, Universität HamburgNikhef Theory GroupNikhef Theory GroupNikhef Theory GroupAbstract We present the complete set of vertex, wave function and charge renormalisation constants in QCD in a general simple gauge group and with the complete dependence on the covariant gauge parameter ξ in the minimal subtraction scheme of conventional dimensional regularisation. Our results confirm all already known results, which were obtained in the Feynman gauge, and allow the extraction of other useful gauges such as the Landau gauge. We use these results to extract the Landau gauge five-loop anomalous dimensions of the composite operator A 2 as well as the Landau gauge scheme independent gluon, ghost and fermion propagators at five loops.http://link.springer.com/article/10.1007/JHEP10(2017)179Perturbative QCDRenormalization Group |
spellingShingle | K. G. Chetyrkin G. Falcioni F. Herzog J.A.M. Vermaseren Five-loop renormalisation of QCD in covariant gauges Journal of High Energy Physics Perturbative QCD Renormalization Group |
title | Five-loop renormalisation of QCD in covariant gauges |
title_full | Five-loop renormalisation of QCD in covariant gauges |
title_fullStr | Five-loop renormalisation of QCD in covariant gauges |
title_full_unstemmed | Five-loop renormalisation of QCD in covariant gauges |
title_short | Five-loop renormalisation of QCD in covariant gauges |
title_sort | five loop renormalisation of qcd in covariant gauges |
topic | Perturbative QCD Renormalization Group |
url | http://link.springer.com/article/10.1007/JHEP10(2017)179 |
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