Quantization of Gauge Systems [Lingua inglese] - Brossura

Henneaux, Marc

Brossura

ISBN 10: 0691037698 ISBN 13: 9780691037691

Casa editrice: Princeton University Press, 1994

Riassunto

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.

Su questo libro

Recensione:

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

L'autore:

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.

Su questa edizione

• Editore: Princeton University Press
• Data di pubblicazione: 1994
• ISBN 10: 0691037698
• ISBN 13: 9780691037691
• Rilegatura: Copertina flessibile
• Numero di pagine: 552