Finite flavour groups of fermions
- Autor(en)
- Walter Grimus, Patrick Otto Ludl
- Abstrakt
We present an overview of the theory of finite groups, with regard to their application as flavour symmetries in particle physics. In a general part, we discuss useful theorems concerning group structure, conjugacy classes, representations and character tables. In a specialized part, we attempt to give a fairly comprehensive review of finite subgroups of SO(3) and SU(3), in which we apply and illustrate the general theory. Moreover, we also provide a concise description of the symmetric and alternating groups and comment on the relationship between finite subgroups of U(3) and finite subgroups of SU(3). Although in this review we give a detailed description of a wide range of finite groups, the main focus is on the methods which allow the exploration of their different aspects.
- Organisation(en)
- Teilchenphysik
- Journal
- Journal of Physics A: Mathematical and Theoretical
- Band
- 45
- Anzahl der Seiten
- 70
- ISSN
- 1751-8113
- DOI
- https://doi.org/10.1088/1751-8113/45/23/233001
- Publikationsdatum
- 2012
- Peer-reviewed
- Ja
- ÖFOS 2012
- 103036 Theoretische Physik, 103034 Teilchenphysik
- Link zum Portal
- https://ucrisportal.univie.ac.at/de/publications/finite-flavour-groups-of-fermions(8a9b2206-164a-4667-af41-78bcea4f418c).html