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 15-17 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 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 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