Wigner 6j symbols with gluon lines: completing the set of 6j symbols required for color decomposition
- Autor(en)
- Stefan Keppeler, Simon Plätzer, Malin Sjodahl
- Abstrakt
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.
- Organisation(en)
- Forschungsplattform Internationales Erwin Schrödinger Institut für Mathematik und Physik, Teilchenphysik
- Externe Organisation(en)
- Eberhard Karls Universität Tübingen, Karl-Franzens-Universität Graz, Lund University
- Journal
- Journal of High Energy Physics
- Band
- 2024
- Anzahl der Seiten
- 25
- ISSN
- 1029-8479
- DOI
- https://doi.org/arXiv.2312.16688
- Publikationsdatum
- 05-2024
- Peer-reviewed
- Ja
- ÖFOS 2012
- 103012 Hochenergiephysik, 103019 Mathematische Physik
- Schlagwörter
- ASJC Scopus Sachgebiete
- Nuclear and High Energy Physics
- Link zum Portal
- https://ucrisportal.univie.ac.at/de/publications/e3e9961b-56e4-4947-8a08-c46a5c5ff73d