Wigner 6j symbols with gluon lines: completing the set of 6j symbols required for color decomposition
- Author(s)
- Stefan Keppeler, Simon Plätzer, Malin Sjodahl
- 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 treatment.
- Organisation(s)
- Research Platform Erwin Schrödinger International Institute for Mathematics and Physics, Particle Physics
- External organisation(s)
- Eberhard Karls Universität Tübingen, Karl-Franzens-Universität Graz, Lund University
- Journal
- Journal of High Energy Physics
- Volume
- 2024
- No. of pages
- 25
- ISSN
- 1029-8479
- DOI
- https://doi.org/arXiv.2312.16688
- Publication date
- 05-2024
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103012 High energy physics, 103019 Mathematical physics
- Keywords
- ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/wigner-6j-symbols-with-gluon-lines-completing-the-set-of-6j-symbols-required-for-color-decomposition(e3e9961b-56e4-4947-8a08-c46a5c5ff73d).html