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An introduction to non-abelian discr...

Kobayashi, Tatsuo.

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An introduction to non-abelian discrete symmetries for particle physicists

Record Type:	Electronic resources : Monograph/item
Title/Author:	An introduction to non-abelian discrete symmetries for particle physicists/ by Tatsuo Kobayashi ... [et al.].
other author:	Kobayashi, Tatsuo.
Published:	Berlin, Heidelberg :Springer Berlin Heidelberg : : 2022.,
Description:	xii, 353 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Particles (Nuclear physics) - Mathematical models. -
Online resource:	https://doi.org/10.1007/978-3-662-64679-3
ISBN:	9783662646793

An introduction to non-abelian discrete symmetries for particle physicists
An introduction to non-abelian discrete symmetries for particle physicists[electronic resource] /by Tatsuo Kobayashi ... [et al.]. - Second edition. - Berlin, Heidelberg :Springer Berlin Heidelberg :2022. - xii, 353 p. :ill., digital ;24 cm. - Lecture notes in physics,v. 9951616-6361 ;. - Lecture notes in physics ;v. 995..

This lecture note provides a tutorial review of non-Abelian discrete groups and presents applications to particle physics where discrete symmetries constitute an important principle for model building. While Abelian discrete symmetries are often imposed in order to control couplings for particle physics-particularly model building beyond the standard model-non-Abelian discrete symmetries have been applied particularly to understand the three-generation flavor structure. The non-Abelian discrete symmetries are indeed considered to be the most attractive choice for a flavor sector: Model builders have tried to derive experimental values of quark and lepton masses, mixing angles and CP phases on the assumption of non-Abelian discrete flavor symmetries of quarks and leptons, yet lepton mixing has already been intensively discussed in this context as well. Possible origins of the non-Abelian discrete symmetry for flavors are another topic of interest, as they can arise from an underlying theory, e.g., the string theory or compactification via orbifolding as geometrical symmetries such as modular symmetries, thereby providing a possible bridge between the underlying theory and corresponding low-energy sector of particle physics. The book offers explicit introduction to the group theoretical aspects of many concrete groups, and readers learn how to derive conjugacy classes, characters, representations, tensor products, and automorphisms for these groups (with a finite number) when algebraic relations are given, thereby enabling readers to apply this to other groups of interest. Further, CP symmetry and modular symmetry are also presented.

ISBN: 9783662646793

Standard No.: 10.1007/978-3-662-64679-3doiSubjects--Topical Terms:

766081
Particles (Nuclear physics)
--Mathematical models.

LC Class. No.: QC793.2

Dewey Class. No.: 539.72015122

An introduction to non-abelian discrete symmetries for particle physicists
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300 $a xii, 353 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes in physics, $x 1616-6361 ; $v v. 995
520 $a This lecture note provides a tutorial review of non-Abelian discrete groups and presents applications to particle physics where discrete symmetries constitute an important principle for model building. While Abelian discrete symmetries are often imposed in order to control couplings for particle physics-particularly model building beyond the standard model-non-Abelian discrete symmetries have been applied particularly to understand the three-generation flavor structure. The non-Abelian discrete symmetries are indeed considered to be the most attractive choice for a flavor sector: Model builders have tried to derive experimental values of quark and lepton masses, mixing angles and CP phases on the assumption of non-Abelian discrete flavor symmetries of quarks and leptons, yet lepton mixing has already been intensively discussed in this context as well. Possible origins of the non-Abelian discrete symmetry for flavors are another topic of interest, as they can arise from an underlying theory, e.g., the string theory or compactification via orbifolding as geometrical symmetries such as modular symmetries, thereby providing a possible bridge between the underlying theory and corresponding low-energy sector of particle physics. The book offers explicit introduction to the group theoretical aspects of many concrete groups, and readers learn how to derive conjugacy classes, characters, representations, tensor products, and automorphisms for these groups (with a finite number) when algebraic relations are given, thereby enabling readers to apply this to other groups of interest. Further, CP symmetry and modular symmetry are also presented.
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650 1 4 $a Elementary Particles, Quantum Field Theory. $3 894026
650 2 4 $a Mathematical Methods in Physics. $3 890898
650 2 4 $a Mathematical Physics. $3 1542352
650 2 4 $a Group Theory and Generalizations. $3 893889
700 1 $a Kobayashi, Tatsuo. $3 3596673
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