PREFACE TO VOLUME IINOTATION15 NON-ABELIAN GAUGE THEORIES 15.1 Gauge Invariance 15.2 Gauge Theory Lagrangians and Simple Lie Groups 15.3 Field Equations and Conservation Laws 15.4 Quantization 15.5 The De Witt-Faddeev-Popov Method 15.6 Ghosts 15.7 BRST Symmetry 15.8 Generalizations of BRST Symmetry 15.9 The Batalin-Vilkovisky Formalism Appendix A A Theorem Regarding Lie Algebras Appendix B The Cartan Catalog Problems References16 EXTERNAL FIELD METHODS 16.1 The Quantum Effective Action 16.2 Calculation of the Effective Potential 16.3 Energy Interpretation 16.4 Symmetries of the Effective Action Problems References17 RENORMALIZATION OF GAUGE THEORIES18 RENORMALIZATION GROUP METHODS19 SPONTANEOUSLY BROKEN GLOBAL SYMMETRIES20 OPERATOR PRODUCT EXPANSIONS21 SPONTANEOUSLY BROKEN GAUGE SYMMETRIES22 ANOMALIES23 EXTENDED FIELD CONFIGURATIONSOUTLINE OF VOLUME �� 1 HISTORICAL INTRODUCTION 2 RELATIVISTIC QUANTUM MECHANICS 3 SCATTERING THEORY 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 ELECTRO-DYNAMICS 12 GENERAL RENORMALIZATION THEORY 13 INFRARED EFFECTS 14 BOUND STATES IN EXTERNAL FIELDS