Conformal spacelike-timelike correspondence in QCD

Abstract This paper is a study of a spacelike-timelike conformal correspondence in QCD. When the times at vertices are fixed in an A + = 0 gauge calculation the distribution of gluons in a highly virtual decay have an exact correspondence with the gluons in the lightcone wavefunction of a high energ...

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Main Author: A. H. Mueller
Format: Article
Language:English
Published: SpringerOpen 2018-08-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP08(2018)139
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spelling doaj-3b9360ed6d20492bb412db9359fc942c2020-11-25T00:04:24ZengSpringerOpenJournal of High Energy Physics1029-84792018-08-012018812110.1007/JHEP08(2018)139Conformal spacelike-timelike correspondence in QCDA. H. Mueller0Physics Department, Columbia UniversityAbstract This paper is a study of a spacelike-timelike conformal correspondence in QCD. When the times at vertices are fixed in an A + = 0 gauge calculation the distribution of gluons in a highly virtual decay have an exact correspondence with the gluons in the lightcone wavefunction of a high energy dipole with the identification of angles in the timelike case and transverse coordinates in the lightcone wavefunction. Divergences show up when the time integrals are done. A procedure for dropping these divergences, analogous to the Gell-Mann Low procedure in QED, allows one to define a conformal QCD, at least through NLO. Possible uses of such a conformal QCD are discussed.http://link.springer.com/article/10.1007/JHEP08(2018)139Conformal Field TheoryRenormalization Group
collection DOAJ
language English
format Article
sources DOAJ
author A. H. Mueller
spellingShingle A. H. Mueller
Conformal spacelike-timelike correspondence in QCD
Journal of High Energy Physics
Conformal Field Theory
Renormalization Group
author_facet A. H. Mueller
author_sort A. H. Mueller
title Conformal spacelike-timelike correspondence in QCD
title_short Conformal spacelike-timelike correspondence in QCD
title_full Conformal spacelike-timelike correspondence in QCD
title_fullStr Conformal spacelike-timelike correspondence in QCD
title_full_unstemmed Conformal spacelike-timelike correspondence in QCD
title_sort conformal spacelike-timelike correspondence in qcd
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2018-08-01
description Abstract This paper is a study of a spacelike-timelike conformal correspondence in QCD. When the times at vertices are fixed in an A + = 0 gauge calculation the distribution of gluons in a highly virtual decay have an exact correspondence with the gluons in the lightcone wavefunction of a high energy dipole with the identification of angles in the timelike case and transverse coordinates in the lightcone wavefunction. Divergences show up when the time integrals are done. A procedure for dropping these divergences, analogous to the Gell-Mann Low procedure in QED, allows one to define a conformal QCD, at least through NLO. Possible uses of such a conformal QCD are discussed.
topic Conformal Field Theory
Renormalization Group
url http://link.springer.com/article/10.1007/JHEP08(2018)139
work_keys_str_mv AT ahmueller conformalspaceliketimelikecorrespondenceinqcd
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