Group Theory Beyond the Standard Model by Ken J. Barnes
Group Theory Beyond the Standard Model - Table of Contents
PART I: SYMMETRIES & THE STANDARD MODEL
- 1. Symmetries and Conservation Laws
- 2. Quantum Angular Momentum
- 3. Tensors and Tensor Operators
- 4. Special Relativity and Physical Particle States
- 5. The Internal Symmetries
- 6. Lie Group Techniques for Standard Model Groups
- 7. Noether’s Theorem and Gauge Theories
PART II: BROKEN SYMMETRIES & BEYOND
- 8. Basic Couplings of Fundamental Interactions
- 9. Spontaneous Symmetry Breaking & Unification
- 10. The Goldstone Theorem & Massless Bosons
- 11. The Higgs Mechanism and Mass Generation
- 12. Lie Group Techniques for Beyond Standard Model Groups
- 13. The Simple Sphere
- 14. Beyond the Standard Model
What You Will Learn in Group Theory Beyond the Standard Model
Group Theory Beyond the Standard Model by Ken J. Barnes is an authoritative advanced textbook that bridging abstract Lie algebras and high-energy particle physics. This comprehensive volume guides readers through quantum angular momentum, gauge theories, spontaneous symmetry breaking, and grand unified theories with exceptional physical insight and mathematical clarity.
Designed for graduate students, theoretical physicists, and research mathematicians, this foundational text details the mathematical architecture governing elementary particle interactions. Barnes provides step-by-step derivations of Noether's theorem, Goldstone bosons, the Higgs mechanism, and Lie group representations beyond $SU(3) \times SU(2) \times U(1)$. Whether you are studying electroweak unification for the first time or exploring grand unified theories and supersymmetry, this book offers an indispensable roadmap.
Recognized worldwide for its student-friendly approach to complex physical symmetries, it remains one of the best group theory books for particle physics self-study. By balancing rigorous group theory with concrete physical applications, it serves as an essential tool for mastering modern gauge theories with confidence.
Book Details & Specifications
Title:
Group Theory Beyond the Standard Model by Ken J. Barnes
Publisher:
CRC Press
Year:
2010
Pages:
256
Type:
PDF
Language:
English
ISBN-10 #:
1420078747
ISBN-13 #:
978-1420078749
License:
CC BY-NC 4.0
Amazon:
Amazon
About the Author: Ken J. Barnes
The author Ken J. Barnes
(1938–2015) was a distinguished British theoretical physicist and Professor of Theoretical Physics at the University of Southampton, internationally recognized for his contributions to quantum field theory and symmetry principles in particle physics. He completed his PhD at Imperial College London under Nobel laureate Abdus Salam and spent decades research-mentoring generations of high-energy physicists across Europe and North America.
Building on decades of university teaching, Barnes authored Group Theory Beyond the Standard Model to provide an accessible, hands-on path from basic symmetry principles to grand unified theories. His commitment to practical computational methods, explicit index derivations, and clear physical intuition makes this text a classic reference for group theory in particle physics that remains widely valued by students and researchers worldwide.
Read or Downloadable Group Theory Beyond the Standard Model
Group Theory