PREFACE NOTATION 1 HISTORICAL INTRODUCTION 1.1 Relativistic Wave Mechanics 1.2 The Birth of Quantum Field Theory 1.3 The Problem of Infinities Bibliograpby References 2 RELATIVISTIC QUANTUM MECHANICS 2.1 Quantum Mechanics 2.2 Symmetries 2.3 Quantum Lorentz Transformations 2.4 The Poincare Algebra 2.5 One-Particle States 2.6 Space Inversion and Time-Reversal 2.7 Projective Representations Appendix A The Symmetry Representation Theorem Appendix B Group Operators and Homotopy Classes Appendix C In,rersions and Degenerate Multiplets Problems References 3 SCATTERING THEORY 3.1 'In' and 'Out' States 3.2 The S-matrix 3.3 Symmetries of the S-Matrix …… 4 THE CLUSTER DECOMPOSITION PRINCIPLE 5 QUANTUM FIELDS AND ANTIPARTICLES 6 THE FEYNMAN RULES 7 THE CANONICAL FORMALISM 8 ELECTRODYNAMICS 9 PATH-INTEGRAL METHODS 10 NON-PERTURBATIVE METHODS 11 ONE-LOOP RADIATIVE CORRECTIONS IN QUANTUM ELECTRODYNAMICS 13 INFRARED EFFECTS 14 BOUND STATES IN EXTERNAL FIELDS AUTHOR INDEX SUBJECT INDEX OUTLINE OF VOLUME 2