Marc Henneaux, Claudio Teitelboim

Quantization of Gauge Systems

• Broschiertes Buch

Produktbeschreibung

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 review of the necessary concepts from homological algebra. Reducible gauge systems are discussed, and the relationship between BRST cohomology and gauge invariance is carefully explained. The authors then proceed to the canonical quantization of gauge systems, first without ghosts (reduced phase space quantization, Dirac method) and second in the BRST context (quantum BRST cohomology). The path integral is discussed next. The analysis covers indefinite metric systems, operator insertions, and Ward identities. The antifield formalism is also studied and its equivalence with canonical methods is derived. The examples of electromagnetism and abelian 2-form gauge fields are treated in detail. The book gives a general and unified treatment of the subject in a self-contained manner. Exercises are provided at the end of each chapter, and pedagogical examples are covered in the text.

---

Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.

Produktdetails

• Verlag: Princeton University Press
• Seitenzahl: 552
• Erscheinungstermin: 28. August 1994
• Englisch
• Abmessung: 229mm x 152mm x 32mm
• Gewicht: 886g
• ISBN-13: 9780691037691
• ISBN-10: 0691037698
• Artikelnr.: 21279013

Autorenporträt

Marc Henneaux is Maître de Recherches at the Belgian National Foundation for Scientific Research and Lecturer at the University of Brussels. Claudio Teitelboim is Director of the Centro de Estudios Cientificos de Santiago in Chile, a Professor at the University of Chile, and a Long-term Member of the Institute for Advanced Study in Princeton.

Inhaltsangabe

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

Rezensionen

A useful reference for those interested in the formal aspects of constrained (i.e. gauge invariant) systems.