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Quantization of Gauge Systems Book

Quantization of Gauge Systems
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  • Quantization of Gauge Systems
  • Written by author Marc Henneaux
  • Published by Princeton University Press, August 1994
  • This book is a systematic study of the classical and quantum theories of gauge systems. It starts with Dirac's analysis showing that gauge theories are constrained Hamiltonian systems. The classical foundations of BRST theory are then laid out with a revi
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Authors

Preface
Acknowledgments
Notations
Ch. 1Constrained Hamiltonian Systems3
Ch. 2Geometry of the Constraint Surface48
Ch. 3Gauge Invariance of the Action65
Ch. 4Generally Covariant Systems102
Ch. 5First-Class Constraints: Further Developments112
Ch. 6Fermi Degrees of Freedom: Classical Mechanics over a Grassmann Algebra134
Ch. 7Constrained Systems with Fermi Variables156
Ch. 8Graded Differential Algebras - Algebraic Structure of the BRST Symmetry165
Ch. 9BRST Construction in the Irreducible Case187
Ch. 10BRST Construction in the Reducible Case205
Ch. 11Dynamics of the Ghosts - Gauge-Fixed Action234
Ch. 12The BRST Transformation in Field Theory253
Ch. 13Quantum Mechanics of Constrained Systems: Standard Operator Methods272
Ch. 14BRST Operator Method - Quantum BRST Cohomology296
Ch. 15Path Integral for Unconstrained Systems333
Ch. 16Path Integral for Constrained Systems380
Ch. 17Antifield Formalism: Classical Theory407
Ch. 18Antifield Formalism and Path Integral428
Ch. 19Free Maxwell Theory. Abelian Two-Form Gauge Field455
Ch. 20Complementary Material481
Bibliography503
Index515


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