LEADER 04203nam 22006615 450 001 996466714803316 005 20230726005114.0 010 $a3-642-15482-4 024 7 $a10.1007/978-3-642-15482-9 035 $a(CKB)3400000000025611 035 $a(SSID)ssj0000610973 035 $a(PQKBManifestationID)11411706 035 $a(PQKBTitleCode)TC0000610973 035 $a(PQKBWorkID)10639881 035 $a(PQKB)10468757 035 $a(DE-He213)978-3-642-15482-9 035 $a(MiAaPQ)EBC3070439 035 $a(PPN)159083338 035 $a(EXLCZ)993400000000025611 100 $a20120203d2012 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aSymmetries and Group Theory in Particle Physics$b[electronic resource] $eAn Introduction to Space-Time and Internal Symmetries /$fby Giovanni Costa, Gianluigi Fogli 205 $a1st ed. 2012. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2012. 215 $a1 online resource (XIII, 291 p.) 225 1 $aLecture Notes in Physics,$x0075-8450 ;$v823 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-642-15481-6 320 $aIncludes bibliographical references and index. 327 $aIntroduction to Lie Groups and their Representations -- The Rotation Group -- The Homogeneous Lorentz Group -- The Poincare Transformation -- One Particle and Two Particle States -- Discrete Operations -- Relativistic Equations -- Unitary Symmetries -- Gauge Symmetries -- Rotation Matrices and Clebsch-Gordan Coeficients -- Symmetric Groups and Identical Particles -- Young Tableaux and Irreducible Representations ot he Unitary Groups -- Solutions -- Index. 330 $aSymmetries, coupled with the mathematical concept of group theory, are an essential conceptual backbone in the formulation of quantum field theories capable of describing the world of elementary particles. This primer is an introduction to and survey of the underlying concepts and structures needed in order to understand and handle these powerful tools. Specifically, in Part I of the book the symmetries and related group theoretical structures of the Minkowskian space-time manifold are analyzed, while Part II examines the internal symmetries and their related unitary groups, where the interactions between fundamental particles are encoded as we know them from the present standard model of particle physics. This book, based on several courses given by the authors, addresses advanced graduate students and non-specialist researchers wishing to enter active research in the field, and having a working knowledge of classical field theory and relativistic quantum mechanics. Numerous end-of-chapter problems and their solutions will facilitate the use of this book as self-study guide or as course book for topical lectures. 410 0$aLecture Notes in Physics,$x0075-8450 ;$v823 606 $aElementary particles (Physics) 606 $aQuantum field theory 606 $aGravitation 606 $aPhysics 606 $aElementary Particles, Quantum Field Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P23029 606 $aClassical and Quantum Gravitation, Relativity Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P19070 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 608 $aProblems, exercises, etc.$2fast 615 0$aElementary particles (Physics). 615 0$aQuantum field theory. 615 0$aGravitation. 615 0$aPhysics. 615 14$aElementary Particles, Quantum Field Theory. 615 24$aClassical and Quantum Gravitation, Relativity Theory. 615 24$aMathematical Methods in Physics. 676 $a539.725 700 $aCosta$b Giovanni$4aut$4http://id.loc.gov/vocabulary/relators/aut$035766 702 $aFogli$b Gianluigi$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a996466714803316 996 $aSymmetries and Group Theory in Particle Physics$92431470 997 $aUNISA