PREFACE TO VOLUME 2 NOTATION 15 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 References 16 EXTERNAL FIELD METHODS 16.1 The Quantum Effective Action 16.2 Cakulation of the Effective Potential 16.3 Energy Interpretation 16.4 Symmetries of the Etfective Action Problems References 17 RENORMALIZATION OF GAUGE THEORIES 18 RENORMALIZATION GROUP METHODS 19 SPONTANEOUSLY BROKEN GLOBAL SYMMETRIES 20 OPERATOR PRODUCT EXPANSIONS 21 SPONTANEOUSLY BROKEN GAUGE SYMMETRIES 22 ANOMALIES 23 EXTENDED FIELD CONFIGURATIONS AUTHOR INDEX SUBJECT INDEX