Based on the author's well-established courses, Group Theory for the Standard Model of Particle Physics and Beyond explores the use of symmetries through descriptions of the techniques of Lie groups and Lie algebras. The text develops the models, theoretical framework, and mathematical tools to understand these symmetries.

After linking symmetries with conservation laws, the book works through the mathematics of angular momentum and extends operators and functions of classical mechanics to quantum mechanics. It then covers the mathematical framework for special relativity and the internal symmetries of the standard model of elementary particle physics. In the chapter on Noether's theorem, the author explains how Lagrangian formalism provides a natural framework for the quantum mechanical interpretation of symmetry principles. He then examines electromagnetic, weak, and strong interactions; spontaneous symmetry breaking; the elusive Higgs boson; and supersymmetry. He also introduces new techniques based on extending space-time into dimensions described by anticommuting coordinates.

Designed for graduate and advanced undergraduate students in physics, this text provides succinct yet complete coverage of the group theory of the symmetries of the standard model of elementary particle physics. It will help students understand current knowledge about the standard model as well as the physics that potentially lies beyond the standard model.

About the Author

Ken J. Barnes is a Professor Emeritus in the School of Physics and Astronomy at the University of Southampton.

Reviews

The book is clearly written ... In addition to references, there are copious problems at the end of each chapter which add to the value of the book ... This readable text will be of value to theoreticians entering the area of quantum field theory and also to more seasoned researchers in other areas of physics who wish to remind themselves of the basic group theoretical underpinning of that most fundamental of all physical theories.
-Allan I. Solomon, Contemporary Physics, 52, 2011

This book provides a lucid and readable account of group theory relevant to gauge theories and is a welcome addition to the available texts in the area. ... The presentation of difficult topics is clear and suitable for a reader new to the subject, while enough material is included to make this book useful as a reference for more experienced researchers. ... The material is a pleasure to read and enlightening. ... Overall, this book is well written and presents this important topic in an excellent and clear way. ... readers with a more theoretical background will find this book an essential read. In conclusion, every student and researcher in high energy physics should read this excellent book.
-Robert Appleby, Reviews, Volume 11, Issue 2, 2010

Book Information
ISBN 9781420078749
Author Ken J. Barnes
Format Hardback
Page Count 256
Imprint CRC Press Inc
Publisher Taylor & Francis Inc
Weight(grams) 520g