This volume describes the advances in the quantum theory of fields that have led to an understanding of the electroweak and strong interactions of the elementary particles. These interactions have all turned out to be governed by principles of gauge invariance, so we start here in Chapters 1'5-17 with gauge theories, generalizing the familiar gauge invariance of electrodynamics to non-Abelian Lie groups.

PREFACE TO VOLUME II.
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 Forma!~m
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 Calculation of the Effective Potential
16.3 Energy Interpretation
16.4 Symmetries of the Effective Action
Problems
References
17 RENORMALIZATION OF GAUGE THEORIES
18 RENORMALIZATION GROUP EMTHODS
19 SPONTANEOUSLY BROKEN GLOBAL SYMMETRIES
20 OPERATOR PRODUCTI EXPANSIONS
21 SPONTANEOUSLY BROKEN GAUGE SYMMETRIES
22 ANOMALIES
23 EXTENDED FIELD CONFIGURATIONS
Appednix A Euclidean Path Integrals
Appednix B A List of Homotopy Groups
Problems
References
Author IDEX
SUBJECT INDEX