1.

Record Nr.

UNISA996466714803316

Autore

Costa Giovanni

Titolo

Symmetries and Group Theory in Particle Physics [[electronic resource] ] : An Introduction to Space-Time and Internal Symmetries / / by Giovanni Costa, Gianluigi Fogli

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2012

ISBN

3-642-15482-4

Edizione

[1st ed. 2012.]

Descrizione fisica

1 online resource (XIII, 291 p.)

Collana

Lecture Notes in Physics, , 0075-8450 ; ; 823

Disciplina

539.725

Soggetti

Elementary particles (Physics)

Quantum field theory

Gravitation

Physics

Elementary Particles, Quantum Field Theory

Classical and Quantum Gravitation, Relativity Theory

Mathematical Methods in Physics

Problems, exercises, etc.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

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.

Sommario/riassunto

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.