Relativistic Many-Body Theory: A New Field-Theoretical Approach

Introduction.- Time-Independent Formalism.- Time-Dependent Formalism.- S-Matrix.- Green's Functions.- Covariant Evolution Operator and Green's Operator.- Numerical Illustrations to Part II.- Covariant Evolution Combined With Electron Correlation.- The Bethe-Salpeter Equation.- Implementation of the MBPT-QED Procedure With Numerical Results.- Analytical Treatment of the Bethe-Salpeter Equation.- Regularization and Renormalization.- Radiative Electron Capture.- Radiative Recombination.- Summary and Conclusions.- A: Notations and Definitions.- B: Second Quantization.- C: Representation of States and Operators.- D: Dirac Equation and the Momentum Representation.- E: Lagrangian Field Theory.- F: Semiclassical Theory of Radiation.- G: Covariant Theory of Quantum Electrodynamics.- H: Feynman Diagrams and Feynman Amplitude.- I: Evaluation Rules For Time-Ordered Diagrams.- J: Some Integrals.- K: Unit Systems and Dimensional Analysis.