Finite Quantum Electrodynamics
In this book the author carefully analyses the role of the concept of causality in Quantum Electrodynamics. This approach makes it possible for the first time to publish a textbook on QED which not only includes full proofs and detailed calculations but is also mathematically rigorous. The book begi...
| Main Author: | |
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1989, 1989
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| Edition: | 1st ed. 1989 |
| Series: | Theoretical and Mathematical Physics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 0. Preliminaries
- 0.1 Minkowski Space and the Lorentz Group
- 0.2 Tensors in Minkowski Space
- 0.3 Some Topics of Scattering Theory
- 1. Relativistic Quantum Mechanics
- 1.1 Spinor Representations of the Lorentz Group
- 1.2 Invariant Field Equations
- 1.3 Algebraic Properties of the Dirac Equation
- 1.4 Discussion of the Free Dirac Equation
- 1.5 Gauge Invariance and Electromagnetic Fields
- 2. Field Quantization
- 2.1 Second Quantization in Fock Space
- 2.2 Quantization of the Dirac Field
- 2.3 Discussion of the Commutation Functions
- 2.4 The Scattering Operator (S-Matrix) in Fock Space
- 2.5 Perturbation Theory
- 2.6 Electron Scattering
- 2.7 Pair Production
- 2.8 The Causal Phase
- 2.9 Non-Perturbative Construction of the Causal Phase
- 2.10 Vacuum Polarization
- 2.11 Quantization of the Radiation Field
- 3. Causal Perturbation Theory
- 3.1 The Method of Epstein and Glaser
- 3.2 Splitting of Distributions
- 3.3 Application to QED
- 3.4 Electron Scattering (Moeller Scattering)
- 3.5 Electron-Photon Scattering (Compton Scattering)
- 3.6 Vacuum Polarization
- 3.7 Self-Energy
- 3.8 Vertex Function
- 3.9 Form Factors
- 3.10 Infrared Cancellations
- 3.11 Symmetry Properties of the S-Matrix
- 3.12 Normalizability of QED
- Appendix: Spence Functions