An Introduction to Non-Abelian Discrete Symmetries for Particle Physicists

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint : Springer, 2012

Abstract/Sommario: Introduction -- Basics of Finite Groups -- Subgroups and Decompositions of Multiplets -- Anomalies -- Non-Abelian Discrete Symmetry in Quark/Lepton Flavor Models -- Useful Theorems -- Representations of S4 in Different Bases -- Representations of A4 in Different Bases -- Representations of A5 in Different Bases -- Representations of T1 in Different Bases -- Other Smaller Groups -- References. - These lecture notes provide a tutorial review of non-Abelian discrete groups and show some a ...; [leggi tutto] Introduction -- Basics of Finite Groups -- Subgroups and Decompositions of Multiplets -- Anomalies -- Non-Abelian Discrete Symmetry in Quark/Lepton Flavor Models -- Useful Theorems -- Representations of S4 in Different Bases -- Representations of A4 in Different Bases -- Representations of A5 in Different Bases -- Representations of T1 in Different Bases -- Other Smaller Groups -- References. - 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 [comprimi]

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Campo	Valore
Descrizione	An Introduction to Non-Abelian Discrete Symmetries for Particle Physicists / by Hajime Ishimori, Tatsuo Kobayashi, Hiroshi Ohki, Hiroshi Okada, Yusuke Shimizu, Morimitsu Tanimoto. - Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint : Springer, 2012. - XII, 283 p. 8 illus ; digital. - (Lecture Notes in Physics ; 858)
Specifiche	[Supporto spec. Risorsa elettr.] Risorsa remota
Note	Springer eBooks. - Printed edition: 9783642308048
Collezione	[Fa parte di] Lecture Notes in Physics ; 858 [Vai al dettaglio]
Autori	Ishimori, Hajime - [Responsabilità principale] Kobayashi, Tatsuo - [Responsabilità secondaria] Ohki, Hiroshi - [Responsabilità secondaria] Okada, Hiroshi - [Responsabilità secondaria] Shimizu, Yusuke - [Responsabilità secondaria] SpringerLink (Online service) - [Responsabilità secondaria] Tanimoto, Morimitsu - [Responsabilità secondaria]
Soggetto	Elementary Particles, Quantum Field Theory Group theory Group Theory and Generalizations Mathematical Methods in Physics Mathematical Physics Physics Quantum Theory
Classificazione	539.72 - Fisica atomica e nucleare. Fisica delle particelle. Radiazioni ionizzanti
Lingua	Inglese
Numeri	ISBN: 978-3-642-30805-5 DOI: 10.1007/978-3-642-30805-5 N. catalogo straniero: QC793-793.5 (Library of Congress Call Number) N. catalogo straniero: QC174.45-174.52 (Library of Congress Call Number)
ID scheda	130043
Permalink	https://www.opac.inaf.it/?ids=130043