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Wigner 6j symbols with gluon lines : completing the set of 6j symbols required for color decomposition

Keppeler, Stefan LU ; Plätzer, Simon LU and Sjodahl, Malin LU (2024) In Journal of High Energy Physics 2024(5).
Abstract

We construct a set of Wigner 6j symbols with gluon lines (adjoint representations) in closed form, expressed in terms of similar 6j symbols with quark lines (fundamental representations). Together with these Wigner 6j symbols with quark lines, this gives a set of 6j symbols sufficient for treating QCD color structure for any number of external particles, in or beyond perturbation theory. This facilitates a complete treatment of QCD color structure in terms of orthogonal multiplet bases, without the need of ever explicitly constructing the corresponding bases. We thereby open up for a completely representation theory based treatment of SU(N) color structure, with the potential of significantly speeding up the color structure... (More)

We construct a set of Wigner 6j symbols with gluon lines (adjoint representations) in closed form, expressed in terms of similar 6j symbols with quark lines (fundamental representations). Together with these Wigner 6j symbols with quark lines, this gives a set of 6j symbols sufficient for treating QCD color structure for any number of external particles, in or beyond perturbation theory. This facilitates a complete treatment of QCD color structure in terms of orthogonal multiplet bases, without the need of ever explicitly constructing the corresponding bases. We thereby open up for a completely representation theory based treatment of SU(N) color structure, with the potential of significantly speeding up the color structure treatment.

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Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Parton Shower, Resummation, The Strong Coupling
in
Journal of High Energy Physics
volume
2024
issue
5
article number
51
publisher
Springer
external identifiers
  • scopus:85192147951
ISSN
1029-8479
DOI
10.1007/JHEP05(2024)051
language
English
LU publication?
yes
id
434291ca-f1d9-4292-aea6-8d65a9a40072
date added to LUP
2024-05-15 13:10:43
date last changed
2024-05-17 07:53:18
@article{434291ca-f1d9-4292-aea6-8d65a9a40072,
  abstract     = {{<p>We construct a set of Wigner 6j symbols with gluon lines (adjoint representations) in closed form, expressed in terms of similar 6j symbols with quark lines (fundamental representations). Together with these Wigner 6j symbols with quark lines, this gives a set of 6j symbols sufficient for treating QCD color structure for any number of external particles, in or beyond perturbation theory. This facilitates a complete treatment of QCD color structure in terms of orthogonal multiplet bases, without the need of ever explicitly constructing the corresponding bases. We thereby open up for a completely representation theory based treatment of SU(N) color structure, with the potential of significantly speeding up the color structure treatment.</p>}},
  author       = {{Keppeler, Stefan and Plätzer, Simon and Sjodahl, Malin}},
  issn         = {{1029-8479}},
  keywords     = {{Parton Shower; Resummation; The Strong Coupling}},
  language     = {{eng}},
  number       = {{5}},
  publisher    = {{Springer}},
  series       = {{Journal of High Energy Physics}},
  title        = {{Wigner 6j symbols with gluon lines : completing the set of 6j symbols required for color decomposition}},
  url          = {{http://dx.doi.org/10.1007/JHEP05(2024)051}},
  doi          = {{10.1007/JHEP05(2024)051}},
  volume       = {{2024}},
  year         = {{2024}},
}