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Book Categories |
Preface | ||
Acknowledgments | ||
Notations | ||
Ch. 1 | Constrained Hamiltonian Systems | 3 |
Ch. 2 | Geometry of the Constraint Surface | 48 |
Ch. 3 | Gauge Invariance of the Action | 65 |
Ch. 4 | Generally Covariant Systems | 102 |
Ch. 5 | First-Class Constraints: Further Developments | 112 |
Ch. 6 | Fermi Degrees of Freedom: Classical Mechanics over a Grassmann Algebra | 134 |
Ch. 7 | Constrained Systems with Fermi Variables | 156 |
Ch. 8 | Graded Differential Algebras - Algebraic Structure of the BRST Symmetry | 165 |
Ch. 9 | BRST Construction in the Irreducible Case | 187 |
Ch. 10 | BRST Construction in the Reducible Case | 205 |
Ch. 11 | Dynamics of the Ghosts - Gauge-Fixed Action | 234 |
Ch. 12 | The BRST Transformation in Field Theory | 253 |
Ch. 13 | Quantum Mechanics of Constrained Systems: Standard Operator Methods | 272 |
Ch. 14 | BRST Operator Method - Quantum BRST Cohomology | 296 |
Ch. 15 | Path Integral for Unconstrained Systems | 333 |
Ch. 16 | Path Integral for Constrained Systems | 380 |
Ch. 17 | Antifield Formalism: Classical Theory | 407 |
Ch. 18 | Antifield Formalism and Path Integral | 428 |
Ch. 19 | Free Maxwell Theory. Abelian Two-Form Gauge Field | 455 |
Ch. 20 | Complementary Material | 481 |
Bibliography | 503 | |
Index | 515 |
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