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001 978-3-642-30805-5
003 DE-He213
005 20160624101900.0
007 cr nn 008mamaa
008 120724s2012 gw | s |||| 0|eng d
020 _a9783642308055
_9978-3-642-30805-5
024 7 _a10.1007/978-3-642-30805-5
_2doi
050 4 _aQC793-793.5
050 4 _aQC174.45-174.52
072 7 _aPHQ
_2bicssc
072 7 _aSCI051000
_2bisacsh
082 0 4 _a539.72
_223
100 1 _aIshimori, Hajime.
_eauthor.
245 1 3 _aAn Introduction to Non-Abelian Discrete Symmetries for Particle Physicists
_h[electronic resource] /
_cby Hajime Ishimori, Tatsuo Kobayashi, Hiroshi Ohki, Hiroshi Okada, Yusuke Shimizu, Morimitsu Tanimoto.
260 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2012.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2012.
300 _aXII, 283 p. 8 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics,
_x0075-8450 ;
_v858
505 0 _aIntroduction -- 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.
520 _aThese 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.
650 0 _aPhysics.
650 0 _aGroup theory.
650 0 _aMathematical physics.
650 0 _aQuantum theory.
650 1 4 _aPhysics.
650 2 4 _aElementary Particles, Quantum Field Theory.
650 2 4 _aMathematical Methods in Physics.
650 2 4 _aMathematical Physics.
650 2 4 _aGroup Theory and Generalizations.
700 1 _aKobayashi, Tatsuo.
_eauthor.
700 1 _aOhki, Hiroshi.
_eauthor.
700 1 _aOkada, Hiroshi.
_eauthor.
700 1 _aShimizu, Yusuke.
_eauthor.
700 1 _aTanimoto, Morimitsu.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642308048
786 _dSpringer
830 0 _aLecture Notes in Physics,
_x0075-8450 ;
_v858
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-30805-5
942 _2EBK2945
_cEBK
999 _c32239
_d32239