Overview

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.

Full Product Details

Author:   Ken J. Barnes (University of Southampton, Southampton, England, UK)
Publisher:   Taylor & Francis Inc
Imprint:   CRC Press Inc
Dimensions:   Width: 15.60cm , Height: 2.30cm , Length: 23.40cm
Weight:   0.520kg
ISBN:  

9781420078749

ISBN 10:   1420078747
Pages:   256
Publication Date:   10 March 2010
Audience:   College/higher education ,  Tertiary & Higher Education ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Symmetries and Conservation Laws. Quantum Angular Momentum. Tensors and Tensor Operators. Special Relativity and the Physical Particle States. Internal Symmetries. Lie Group Techniques for the Standard Model Lie Groups. Noether’s Theorem and Gauge Theories of the First and Second Kinds. Basic Couplings of the Electromagnetic, Weak, and Strong Interactions. Spontaneous Symmetry Breaking and the Unification of the Electromagnetic and Weak Forces. The Goldstone Theorem and the Consequent Emergence on Nonlinear Transforming Massless Goldstone Bosons. The Higgs Mechanism and the Emergence of Mass from Spontaneously Broken Symmetries. Lie Group Techniques for beyond the Standard Model Lie Groups. The Simple Sphere. Beyond the Standard Model.

Reviews

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

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

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

Author Information

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

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