Symmetries and Group Theory in Particle Physics

An Introduction to Space-Time and Internal Symmetries

AvGiovanni Costa,Gianluigi Fogli

Häftad, Engelska, 2012

Del i serien Lecture Notes in Physics

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2012-02-05
Mått:155 x 235 x 17 mm
Vikt:470 g
Format:Häftad
Språk:Engelska
Serie:Lecture Notes in Physics
Antal sidor:291
Upplaga:2012
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783642154812

Utforska kategorier

Fysik inom Naturvetenskap och teknik
Kvantfysik inom Naturvetenskap och teknik

Recensioner i media

From the reviews: "The aim of this textbook is to introduce students to group-theoretical aspects in particle physics. To achieve this, the authors first give a brief introduction to the structure of Lie groups and algebras. ... The main text is supplemented by a few indices with technical details on group theory, as well as a large set of exercises with solutions. ... the book is written in a readable and accessible manner. ... the collection of exercises makes it a valuable repository for lecturers." (Axel Maas, Mathematical Reviews, July, 2013) "The aim of the monograph is two-fold, to give the basic notions and facts from group and group representation theory for particle physics and to give a survey of their applications in relativistic quantum field theory and particle physics. Therefore it should be considered to be a good handbook." (Boris V. Loginov, Zentralblatt MATH, Vol. 1243, 2012)

Innehållsförteckning

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 Goups and Identical Particles.- Young Tableaux and Irreducible Representations ot he Unitary Groups.- Solutions.- Index.