Book contents
- Frontmatter
- Contents
- Preface to the Third Edition
- Preface to the Second Edition
- Preface to the Revised Printing
- Preface to the First Edition
- Overview. An Informal Overview of Cartan's Exterior Differential Forms, Illustrated with an Application to Cauchy's Stress Tensor
- I Manifolds, Tensors, and Exterior Forms
- II Geometry and Topology
- III Lie Groups, Bundles, and Chern Forms
- 15 Lie Groups
- 16 Vector Bundles in Geometry and Physics
- 17 Fiber Bundles, Gauss–Bonnet, and Topological Quantization
- 18 Connections and Associated Bundles
- 19 The Dirac Equation
- 20 Yang–Mills Fields
- 21 Betti Numbers and Covering Spaces
- 22 Chern Forms and Homotopy Groups
- Appendix A Forms in Continuum Mechanics
- Appendix B Harmonic Chains and Kirchhoff's Circuit Laws
- Appendix C Symmetries, Quarks, and Meson Masses
- Appendix D Representations and Hyperelastic Bodies
- Appendix E Orbits and Morse–Bott Theory in Compact Lie Groups
- References
- Index
20 - Yang–Mills Fields
from III - Lie Groups, Bundles, and Chern Forms
Published online by Cambridge University Press: 05 June 2012
- Frontmatter
- Contents
- Preface to the Third Edition
- Preface to the Second Edition
- Preface to the Revised Printing
- Preface to the First Edition
- Overview. An Informal Overview of Cartan's Exterior Differential Forms, Illustrated with an Application to Cauchy's Stress Tensor
- I Manifolds, Tensors, and Exterior Forms
- II Geometry and Topology
- III Lie Groups, Bundles, and Chern Forms
- 15 Lie Groups
- 16 Vector Bundles in Geometry and Physics
- 17 Fiber Bundles, Gauss–Bonnet, and Topological Quantization
- 18 Connections and Associated Bundles
- 19 The Dirac Equation
- 20 Yang–Mills Fields
- 21 Betti Numbers and Covering Spaces
- 22 Chern Forms and Homotopy Groups
- Appendix A Forms in Continuum Mechanics
- Appendix B Harmonic Chains and Kirchhoff's Circuit Laws
- Appendix C Symmetries, Quarks, and Meson Masses
- Appendix D Representations and Hyperelastic Bodies
- Appendix E Orbits and Morse–Bott Theory in Compact Lie Groups
- References
- Index
Summary
- Type
- Chapter
- Information
- The Geometry of PhysicsAn Introduction, pp. 523 - 560Publisher: Cambridge University PressPrint publication year: 2011