General Principles of Quantum Field Theory
The majority of the "memorable" results of relativistic quantum theory were obtained within the framework of the local quantum field approach. The explanation of the basic principles of the local theory and its mathematical structure has left its mark on all modern activity in this area. O...
| Main Authors: | , , , |
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| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
1990, 1990
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| Edition: | 1st ed. 1990 |
| Series: | Mathematical Physics and Applied Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- I Elements of Functional Analysis and the Theory of Functions
- Synopsis
- 1. Preliminaries on Functional Analysis
- 2. The Technique of Generalized Functions
- 3. Lorentz-Covariant Generalized Functions
- 4. The Jost-Lehmann-Dyson Representation
- 5. Analytic Functions of Several Complex Variables
- II Relativistic Quantum Systems
- Synopsis
- 6. Algebra of Observables and State Space
- 7. Relativistic Invariance in Quantum Theory
- III Local Quantum Fields and Wightman Functions
- Synopsis
- 8. The Wightman Formalism
- 9. Analytic Properties of Wightman Functions in Coordinate Space
- 10. Fields in an Indefinite Metric
- 11. Examples: Explicitly Soluble Two-Dimensional Models
- IV Collision Theory. Axiomatic Theory of the S-Matrix
- Synopsis
- 12. Haag-Ruelle Scattering Theory
- 13. Lehmann-Symanzik-Zimmermann Formalism
- 14. The S-Matrix Method
- V Causality and the Spectral Property: The Origins of the Analytic Properties of the Scattering Amplitude
- Synopsis
- 15. Analyticity with respect to Momentum Transfer and Dispersion Relations
- 16. Analytic Properties of the Four-Point Green’s Function
- 17. Consequences for High-Energy Elementary Processes
- Commentary on the Bibliography and References
- References
- Index of Notation