Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Notation and Constants
- 1 Particle Physics Landscape
- 2 Preliminary Concepts: Special Relativity and Quantum Mechanics
- 3 Collisions and Decays
- 4 Conservation Rules and Symmetries
- 5 FromWave Functions to Quantum Fields
- 6 A Brief Overview of Quantum Electrodynamics
- 7 From Hadrons to Partons
- 8 Quantum Chromodynamics
- 9 Weak Interaction
- 10 Electroweak Interaction
- 11 Electroweak Symmetry Breaking
- 12 The Standard Model and Beyond
- Appendix A Elements of Group Theory for Particle Physics
- Appendix B Special Unitary Group SU(2)
- Appendix C Special Unitary Group SU(3) and SU(N)
- Appendix D Lorentz and Poincaré Groups
- Appendix E Calculating with the Dirac Delta Distribution
- Appendix F Contour Integration in the Complex Plane
- Appendix G Useful Formulas with γ Matrices
- Appendix H Fermi’s Golden Rule and Time-Dependent Perturbation
- References
- Index
4 - Conservation Rules and Symmetries
Published online by Cambridge University Press: 31 August 2023
- Frontmatter
- Dedication
- Contents
- Preface
- Notation and Constants
- 1 Particle Physics Landscape
- 2 Preliminary Concepts: Special Relativity and Quantum Mechanics
- 3 Collisions and Decays
- 4 Conservation Rules and Symmetries
- 5 FromWave Functions to Quantum Fields
- 6 A Brief Overview of Quantum Electrodynamics
- 7 From Hadrons to Partons
- 8 Quantum Chromodynamics
- 9 Weak Interaction
- 10 Electroweak Interaction
- 11 Electroweak Symmetry Breaking
- 12 The Standard Model and Beyond
- Appendix A Elements of Group Theory for Particle Physics
- Appendix B Special Unitary Group SU(2)
- Appendix C Special Unitary Group SU(3) and SU(N)
- Appendix D Lorentz and Poincaré Groups
- Appendix E Calculating with the Dirac Delta Distribution
- Appendix F Contour Integration in the Complex Plane
- Appendix G Useful Formulas with γ Matrices
- Appendix H Fermi’s Golden Rule and Time-Dependent Perturbation
- References
- Index
Summary
The notion of symmetry is essential in the determination of particle properties. It reveals quantities that are conserved in collisions or decays. It also constrains the mathematical formulation of theories. This chapter introduces these concepts and explains how the notion of symmetry is implemented in quantum mechanics. It reviews the quantities conserved in particle collisions or decays: energy-momentum and total angular momentum, and also the internal symmetries, such as parity, charge conjugation, baryon and lepton numbers.
- Type
- Chapter
- Information
- Fundamentals of Particle PhysicsUnderstanding the Standard Model, pp. 101 - 116Publisher: Cambridge University PressPrint publication year: 2023