03433nam 2200589Ia 450 991013074460332120200520144314.09783642154829364215482410.1007/978-3-642-15482-9(CKB)3400000000025611(SSID)ssj0000610973(PQKBManifestationID)11411706(PQKBTitleCode)TC0000610973(PQKBWorkID)10639881(PQKB)10468757(DE-He213)978-3-642-15482-9(MiAaPQ)EBC3070439(PPN)159083338(EXLCZ)99340000000002561120120215d2012 uy 0engurnn#008mamaatxtccrSymmetries and group theory in particle physics an introduction to space-time and internal symmetries /Giovanni Costa, Gianluigi Fogli1st ed. 2012.Berlin ;New York Springerc20121 online resource (XIII, 291 p.)Lecture notes in physics,0075-8450 ;v.823Bibliographic Level Mode of Issuance: Monograph9783642154812 3642154816 Includes bibliographical references and index.Introduction 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.Symmetries, 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.Lecture notes in physics ;823.Particles (Nuclear physics)Field theory (Physics)Particles (Nuclear physics)Field theory (Physics)539.7/2Costa G(Giovanni),1930-35766Fogli Gianluigi732250MiAaPQMiAaPQMiAaPQBOOK9910130744603321Symmetries and group theory in particle physics1442663UNINA