Group Theory Beyond the Standard Model by Ken J. Barnes
Group Theory Beyond the Standard Model - Table of Contents
1. Symmetries and Conservation Laws
2. Quantum Angular Momentum
3. Tensors and Tensor Operators
4. Special Relativity and the Physical Particle States
5. The Internal Symmetries
6. Lie Group Techniques for the Standard Model Lie Groups
7. Noether’s Theorem and Gauge Theories of the First and Second Kinds
8. Basic Couplings of the Electromagnetic, Weak, and Strong Interactions
9. Spontaneous Symmetry Breaking and the Unification of the Electromagnetic and Weak Forces
10. The Goldstone Theorem and the Consequent Emergence of Nonlinearly Transforming Massless Goldstone Bosons
11. The Higgs Mechanism and the Emergence of Mass from Spontaneously Broken Symmetries
12. Lie Group Techniques for beyond the Standard Model Lie Groups
13. The Simple Sphere
14. Beyond the Standard Model
What You Will Learn in Group Theory Beyond the Standard Model
"Group Theory for the Standard Model of Particle Physics and Beyond" by "Ken J. Barnes" is a graduate and advanced undergraduate level textbook that introduces the mathematics of Lie groups and Lie algebras through their vital role in modern 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.
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.
It starts by showing why symmetry laws lead to conservation rules, then teaches the math behind spinning particles and quantum mechanics. After that, it explains how these ideas work in Einstein’s relativity and describes the core forces in nature: electromagnetic, weak, and strong. 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 super symmetry. He also introduces new techniques based on extending space–time into dimensions described by anti commuting coordinates.
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
(born 1938) is a theoretical physicist and Professor Emeritus at the University of Southampton’s School of Physics and Astronomy, with credentials including a BSc and PhD, and recognition as a Fellow of the Institute of Physics. He is specializing in "group theory", "particle physics", and advanced mathematical structures in high-energy research. His work explores symmetry principles and how they explain fundamental forces in modern physics. He contributes to academic understanding of "Lie groups" and their role in theoretical models. He authored Group Theory Beyond the Standard Model, a detailed study of symmetry and algebra in physics beyond traditional frameworks. The book is valuable for students and researchers seeking deeper knowledge of "group theory" and its applications in modern particle physics and mathematical modeling.
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