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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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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1725429632090505216 |