Foreword by Victor F. Weisskopf Preface by the Editor Part 1. Quantization of the Electron-Positron Field The Heisenberg and Interaction Representations Quantization of the Harmonic Oscillator Second Quantization for Spin-1/2 Particles Sign of the Energy; Hole Theory Construction of the Invariant Functions Charge-Conjugated Quantities Part 2. Response to an External Field: Charge Renormalization Vacuum Expectation Values of Expressions Bilinear in the Current Vacuum Polarization in an External Field Particles with Zero Spin Evaluation of the Kernals ^K and ^L The "Causal" Kernels Kcμν and Lcμν Impossibility of Canceling the Self-Charge Part 3. Quantization of Free Fields: Spin 0 and 1/2, Quantum Electrodynamics The Invariant Functions Quantization of Force-Free, Uncharged, Spin-0 Fields Quantum Electrodynamics in Vacuum Quantum Electrodynamics in Canonical Notation Various Representations Theory of Positrons (Spin-1/2 Particles) Part 4. Interacting Fields: Interaction Representation and S-Matrix Electrons Interacting with the Electromagnetic Field Charged Particles with Zero Spin The Interaction Representation Dyson's Integration Method The P* Product for Spin-Zero Part 5. Heisenberg Representation: S-Matrix and Charge Renormalization The S-matrix and the Heisenberg Representation Renormalized Fields in the Heisenberg Representation Part 6. The S-Matrix: Applications The Relation Between the S-Matrix and the Cross-Section An Application of the Dyson Formalism: Møller Scattering Discussion of the Dc Function The Electron Self-Energy in an External Homogeneous Electromagnetic Field Part 7. Feynman's Approach to Quantum Electrodynamics The Path Integral Method Supplementary Bibliography Appendix. Comments by the Editor Index