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