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CONTENTS

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© 2020 Princeton University Press, Princeton

© 2020 Princeton University Press, Princeton

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
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Quantization of Gauge Systems
This chapter is in the book Quantization of Gauge Systems
https://doi.org/10.1515/9780691213866-toc

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
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