Finite Quantum Electrodynamics The Causal Approach

Finite Quantum Electrodynamics The Causal Approach / by G. Scharf.

In this textbook for graduate students in physics the author carefully analyses the role of causality in Quantum Electrodynamics. This new approach makes it possible to give full proofs and carry out the detailed calculations of scattering processes in a mathematically rigorous manner. The book begi...

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Bibliographic Details
Main Author: Scharf, G. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1995.
Edition:2nd ed. 1995.
Series:Theoretical and Mathematical Physics,
Springer eBook Collection.
Subjects:
Quantum physics.
Quantum computers.
Spintronics.
Elementary particles (Physics).
Quantum field theory.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 0. Preliminaries
  • 0.0 Historical Introduction
  • 0.1 Minkowski Space and the Lorentz Group
  • 0.2 Tensors in Minkowski Space
  • 0.3 Some Topics of Scattering Theory
  • 0.4 Problems
  • 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
  • 1.6 The Hydrogen Atom
  • 1.7 Problems
  • 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 of the S-Matrix
  • 2.9 Non-Perturbative Construction of the Causal Phase
  • 2.10 Vacuum Polarization
  • 2.11 Quantization of the Radiation Field
  • 2.12 Problems
  • 3. Causal Perturbation Theory
  • 3.1 The Method of Epstein and Glaser
  • 3.2 Splitting of Causal 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: Causal Distribution
  • 3.9 Vertex Function: Retarded Distribution
  • 3.10 Form Factors
  • 3.11 Adiabatic Limit
  • 3.12 Charged Particles in Perturbative QED
  • 3.13 Charge Normalization
  • 3.14 Problems
  • 4. Properties of the S-Matrix
  • 4.1 Vacuum Graphs
  • 4.2 Operator Character of the S-Matrix
  • 4.3 Normalizability of QED
  • 4.4 Discrete Symmetries
  • 4.5 Poincaré Covariance
  • 4.6 Gauge Invariance and Ward Identities
  • 4.7 Unitarity
  • 4.8 Renormalization Group
  • 4.9 Interacting Fields and Operator Products
  • 4.10 Field Equations
  • 4.11 Problems
  • 5. Other Electromagnetic Couplings
  • 5.1 Scalar QED: Basic Properties
  • 5.2 Scalar QED: Gauge Invariance
  • 5.3 Axial Anomalies
  • 5.4 (2+1)-Dimensional QED: Vacuum Polarization
  • 5.5 (2+1)-Dimensional QED: Mass Generation
  • 5.6 Problems
  • 6. Epilogue: Non-Abelian Gauge Theories
  • Appendices
  • A: The Hydrogen Atom According to the Schrödinger Equation
  • B: Regularly Varying Functions
  • C: Spence Functions
  • D: Grassmann Test Functions
  • Bibliographical Notes.

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