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/wigner-6j-symbols-with-gluon-lines-completing-the-set-of-6j-symbols-required-for-color-decomposition(e3e9961b-56e4-4947-8a08-c46a5c5ff73d).html