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Analytic properties of Feynman diagrams in quantum field theory /
Analytic Properties of Feynman Diagrams in Quantum Field Theory deals with quantum field theory, particularly in the study of the analytic properties of Feynman graphs.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Oxford ; New York :
Pergamon Press,
[1971]
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| Edición: | First edition]. |
| Colección: | International series of monographs in natural philosophy ;
v. 38. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Analytic Properties of Feynman Diagrams in Quantum Field Theory; Copyright Page; Table of Contents; PREFACE TO THE ENGLISH EDITION; TRANSLATOR'S NOTE; FOREWORD; INTRODUCTION; 1. Dispersion relations and perturbation theory; 2. A survey of work on the analytic properties of S-matrix elements in perturbation theory; 3. Contents of the book; CHAPTER 1. THE QUADRATIC FORM OF A FEYNMAN DIAGRAM; 1. The representation for the contribution of an arbitrary diagram to the scattering matrix; 2. Properties of the quadratic form of a diagram for Euclidean external momenta.
- 3. The majorization of a quadratic form with real momenta by a quadratic form with Euclidean momentaAppendix to Chapter 1. Calculation of the Jacobian of the transformation (1.1.10); Summary; CHAPTER 2. MAJORIZATION OF FEYNMAN DIAGRAMS; 1. Principle of majorization. The method for obtaining the primitive diagrams; 2. Primitive diagrams of the vertex part and of scattering processes; 3. The Symanzik theorem and its generalization; 4. Majorization of the primitive diagrams; 5. Majorization of diagrams for processes involving pseudoscalar mesons.
- Appendix to Chapter 2. Nucleon-nucleon primitive scattering diagrams (Proof of Theorem 2.5)Summary; CHAPTER 3. DERIVATION OF SPECTRAL REPRESENTATIONS AND OF DISPERSION RELATIONS; 1. Analytic properties of the vertex part. The concept of an anomalous threshold; 2. Dispersion relations for the nucleon-nucleon scattering amplitude and for the corresponding partial wave amplitude; 3. Dispersion relations for the scalar meson-nucleon scattering amplitude; Appendix to Chapter 3. Analyticity of TD3, and TD4 in the domain (3.3.2); Summary.
- CHAPTER 4. THE SURFACE OF SINGULARITIES OF A FEYNMAN DIAGRAM. WHAT ELSE CAN WE LEARN FROM THE BOX DIAGRAM?1. Equations for the singular surface; 2. Examples of the application of the parametric equations of the surface of singularities; 3. Survey of Cutkosky rules and of the Mandelstam representation for the box diagram; Appendix to Chapter 4. The example of the self-energy diagram; Summary; REFERENCES; INDEX.