Chapters in this book

1. Frontmatter i
2. CONTENTS vii
3. PREFACE xxiii
4. ACKNOWLEDGMENTS xxv
5. NOTATIONS xxvii
6. CHAPTER ONE. CONSTRAINED HAMILTONIAN SYSTEMS 3
7. CHAPTER TWO. GEOMETRY OF THE CONSTRAINT SURFACE 48
8. CHAPTER THREE. GAUGE INVARIANCE OF THE ACTION 65
9. CHAPTER FOUR. GENERALLY COVARIANT SYSTEMS 102
10. CHAPTER FIVE. FIRST-CLASS CONSTRAINTS: FURTHER DEVELOPMENTS 112
11. CHAPTER SIX. FERMI DEGREES OF FREEDOM: CLASSICAL MECHANICS OVER A GRASSMANN ALGEBRA 134
12. CHAPTER SEVEN. CONSTRAINED SYSTEMS WITH FERMI VARIABLES 156
13. CHAPTER EIGHT. GRADED DIFFERENTIAL ALGEBRAS— ALGEBRAIC STRUCTURE OF THE BRST SYMMETRY 165
14. CHAPTER NINE. BRST CONSTRUCTION IN THE IRREDUCIBLE CASE 187
15. CHAPTER TEN. BRST CONSTRUCTION IN THE REDUCIBLE CASE 205
16. CHAPTER ELEVEN. DYNAMICS OF THE GHOSTS— GAUGE-FIXED ACTION 234
17. CHAPTER TWELVE. THE BRST TRANSFORMATION IN FIELD THEORY 253
18. CHAPTER THIRTEEN. QUANTUM MECHANICS OF CONSTRAINED SYSTEMS: STANDARD OPERATOR METHODS 272
19. CHAPTER FOURTEEN. BRST OPERATOR METHOD— QUANTUM BRST COHOMOLOGY 296
20. CHAPTER FIFTEEN. PATH INTEGRAL FOR UNCONSTRAINED SYSTEMS 333
21. CHAPTER SIXTEEN. PATH INTEGRAL FOR CONSTRAINED SYSTEMS 380
22. CHAPTER SEVENTEEN. ANTIFIELD FORMALISM: CLASSICAL THEORY 407
23. CHAPTER EIGHTEEN. ANTIFIELD FORMALISM AND PATH INTEGRAL 428
24. CHAPTER NINETEEN. FREE MAXWELL THEORY. ABELIAN TWO-FORM GAUGE FIELD 455
25. CHAPTER TWENTY. COMPLEMENTARY MATERIAL 481
26. EXERCISES. CHAPTER TWENTY 500
27. BIBLIOGRAPHY 503
28. INDEX 515