Symmetries and Group Theory in Particle Physics

An Introduction to Space-Time and Internal Symmetries

  • Giovanni Costa
  • Gianluigi Fogli

Part of the Lecture Notes in Physics book series (LNP, volume 823)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Giovanni Costa, Gianluigi Fogli
    Pages 1-26
  3. Giovanni Costa, Gianluigi Fogli
    Pages 27-41
  4. Giovanni Costa, Gianluigi Fogli
    Pages 43-60
  5. Giovanni Costa, Gianluigi Fogli
    Pages 61-70
  6. Giovanni Costa, Gianluigi Fogli
    Pages 71-82
  7. Giovanni Costa, Gianluigi Fogli
    Pages 83-95
  8. Giovanni Costa, Gianluigi Fogli
    Pages 97-112
  9. Giovanni Costa, Gianluigi Fogli
    Pages 113-168
  10. Giovanni Costa, Gianluigi Fogli
    Pages 169-212
  11. Back Matter
    Pages 213-291

About this book

Introduction

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.

Keywords

Poincaré group and transformations homogenous and inhomogenous Lorentz group unitary and gauge symmetries in particle physics weight diagrams and Young tableaux

Authors and affiliations

  • Giovanni Costa
    • 1
  • Gianluigi Fogli
    • 2
  1. 1., Dipt. di FisicaUniversità di PadovaPadovaItaly
  2. 2.Università die BariDipartimento die FisicaBariItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-15482-9
  • Copyright Information Springer-Verlag Berlin Heidelberg 2012
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-642-15481-2
  • Online ISBN 978-3-642-15482-9
  • Series Print ISSN 0075-8450
  • Series Online ISSN 1616-6361
  • About this book