Authors:
- Written by leading experts in the field
- Self-contained and tutorial presentation
- Useful as reference text on the topic
- Includes supplementary material: sn.pub/extras
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Physics (LNP, volume 858)
Buy it now
Buying options
Tax calculation will be finalised at checkout
Other ways to access
This is a preview of subscription content, log in via an institution to check for access.
Table of contents (16 chapters)
-
Front Matter
-
Back Matter
About this book
These lecture notes provide a tutorial review of non-Abelian discrete groups and show some applications to issues in physics where discrete symmetries constitute an important principle for model building in particle physics. While Abelian discrete symmetries are often imposed in order to control couplings for particle physics - in particular model building beyond the standard model - non-Abelian discrete symmetries have been applied to understand the three-generation flavor structure in particular.
Indeed, non-Abelian discrete symmetries are considered to be the most attractive choice for the flavor sector: model builders have tried to derive experimental values of quark and lepton masses, and mixing angles by assuming non-Abelian discrete flavor symmetries of quarks and leptons, yet, lepton mixing has already been intensively discussed in this context, as well. The possible origins of the non-Abelian discrete symmetry for flavors is another topic of interest, as they can arise from an underlying theory - e.g. the string theory or compactification via orbifolding – thereby providing a possible bridge between the underlying theory and the corresponding low-energy sector of particle physics.
This text explicitly introduces and studies the group-theoretical aspects of many concrete groups and shows how to derive conjugacy classes, characters, representations, and tensor products for these groups (with a finite number) when algebraic relations are given, thereby enabling readers to apply this to other groups of interest.
Reviews
From the reviews:
“This book presents, for the first time, a self-contained and complete practical guide for the use of (non-Abelian) discrete groups in particle physics, and more precisely for current developments in the context of the three-generation flavor models. … this book constitutes a very valuable handbook for any physicist interested in the role of finite groups in the explicit construction of flavor models, and it will certainly become one of the canonical references for practical use.” (Rutwig Campoamor-Stursberg, Mathematical Reviews, June, 2013)Authors and Affiliations
-
Department of Physics, Kyoto University, Kyoto, Japan
Hajime Ishimori, Tatsuo Kobayashi
-
Kobayashi-Maskawa Institute, Nagoya University, Nagoya, Japan
Hiroshi Ohki
-
School of Physics, Korean Institute for Advanced Study, Seoul, Korea
Hiroshi Okada
-
Department of Physics, Niigata University, Niigata, Japan
Yusuke Shimizu
-
Department of Physics, Niigata University, Niigate, Japan
Morimitsu Tanimoto
Bibliographic Information
Book Title: An Introduction to Non-Abelian Discrete Symmetries for Particle Physicists
Authors: Hajime Ishimori, Tatsuo Kobayashi, Hiroshi Ohki, Hiroshi Okada, Yusuke Shimizu, Morimitsu Tanimoto
Series Title: Lecture Notes in Physics
DOI: https://doi.org/10.1007/978-3-642-30805-5
Publisher: Springer Berlin, Heidelberg
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2012
eBook ISBN: 978-3-642-30805-5Published: 25 July 2012
Series ISSN: 0075-8450
Series E-ISSN: 1616-6361
Edition Number: 1
Number of Pages: XII, 283
Number of Illustrations: 8 b/w illustrations
Topics: Elementary Particles, Quantum Field Theory, Mathematical Methods in Physics, Mathematical Physics, Group Theory and Generalizations