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Quantization of Gauge Systems
Taschenbuch von Marc Henneaux (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor
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.
Inhaltsverzeichnis
Preface
Details
Erscheinungsjahr: 1994
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: Kartoniert / Broschiert
ISBN-13: 9780691037691
ISBN-10: 0691037698
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Henneaux, Marc
Teitelboim, Claudio
Hersteller: Princeton University Press
Maße: 229 x 152 x 32 mm
Von/Mit: Marc Henneaux (u. a.)
Erscheinungsdatum: 28.08.1994
Gewicht: 0,886 kg
Artikel-ID: 106811917
Über den Autor
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.
Inhaltsverzeichnis
Preface
Details
Erscheinungsjahr: 1994
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: Kartoniert / Broschiert
ISBN-13: 9780691037691
ISBN-10: 0691037698
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Henneaux, Marc
Teitelboim, Claudio
Hersteller: Princeton University Press
Maße: 229 x 152 x 32 mm
Von/Mit: Marc Henneaux (u. a.)
Erscheinungsdatum: 28.08.1994
Gewicht: 0,886 kg
Artikel-ID: 106811917
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