PREFACE NOTATION 1 HISTORICAL INTRODUCTION 1.1 Relativistic Wave Mechanics 1.2 The Birth of Quantum Field Theory 1.3 The Problem of Infinities Bibliography 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 Inversions 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 12 GENERAL RENORMALIZATION THEORY 13 INFRARED EFFECTS 14 BOUND STATES IN EXTERNAL FIELDS OUTLINE OF VOLUME II 15 NON-ABELIAN GAUGE THEORIES 16 EXTERNAL FIELD METHODS 17 RENORMALIZATION OF GAUGE THEORIES 18 RENORMALIZATION GROUP METHODS 19 SPONTANEOUSLY BROKEN GLOBAL SYMMETRIES 20 OPERATOR PRODUCT EXPANSIONS 21 SPONTANEOUSLY BROKEN LOCAL SYMMETRIES 22 ANOMALIES 23 EXTENDED FIELD CONFIGURATIONS
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