
From Classical to Quantum Fields
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Content
- 1: Introduction
- 2: Relativistic Invariance
- 3: The Electromagnetic Field
- 4: General Relativity: A Field Theory of Gravitation
- 5: The Physical States
- 6: Relativistic Wave Equations
- 7: Towards a Relativistic Quantum Mechanics
- 8: Functional Integrals and Probabilistic Amplitudes
- 9: Functional Integrals and Quantum Mechanics: Formal Developments
- 10: The Euclidean Functional Integrals
- 11: Fermions and Functional Formalism
- 12: Relativistic Quantum Fields
- 13: Applications
- 14: Geometry and Quantum Dynamics
- 15: Broken Symmetries
- 16: Quantum Field Theory at Higher Orders
- 17: A First Glance at Renormalisation and Symmetry
- 18: Renormalisation of Yang-Mills Theory and BRST Symmetry
- 19: Some Consequences of the Renormalisation Group
- 20: Analyticity Properties of Feynman Diagrams
- 21: Infrared Singularities
- 22: Coherent States and Classical Limit of Quantum Electrodynamics
- 23: Quantum Field Theories with a Large Number of Fields
- 24: The Existence of Field Theories beyond the Perturbation Expansion
- 25: Fundamental Interactions
- 26: Beyond the Standard Model
- 27: Supersymmetry, or the Defense of Scalars
- Appendix A: Tensor Calculus
- Appendix B: Differential Calculus
- Appendix C: Groups and Lie Algebras
- Appendix D: A Collection of Useful Formulae
- Appendix E: Extract from Maxwell's A Treatise on Electricity and Magnetism
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