Lecture Notes in Physics

Symmetries and Group Theory in Particle Physics

An Introduction to Space-Time and Internal Symmetries

Authors: Costa, Giovanni, Fogli, Gianluigi

  • Written by leading experts in the field
  • Provides both a tutorial introduction and overview, making the book suitable as both a reference and self-study guide
  • Contains a large number of problems
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About this book

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.

Reviews

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)


Table of contents (9 chapters)

  • Introduction to Lie Groups and Their Representations

    Costa, Giovanni (et al.)

    Pages 1-26

  • The Rotation Group

    Costa, Giovanni (et al.)

    Pages 27-41

  • The Homogeneous Lorentz Group

    Costa, Giovanni (et al.)

    Pages 43-60

  • The Poincaré Transformations

    Costa, Giovanni (et al.)

    Pages 61-70

  • One Particle and Two Particle States

    Costa, Giovanni (et al.)

    Pages 71-82

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-642-15482-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $89.95
price for USA
  • ISBN 978-3-642-15481-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Symmetries and Group Theory in Particle Physics
Book Subtitle
An Introduction to Space-Time and Internal Symmetries
Authors
Series Title
Lecture Notes in Physics
Series Volume
823
Copyright
2012
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-15482-9
DOI
10.1007/978-3-642-15482-9
Softcover ISBN
978-3-642-15481-2
Series ISSN
0075-8450
Edition Number
1
Number of Pages
XIII, 291
Topics