# Download Quantization of Gauge Systems fb2

### by Claudio Teitelboim,Marc Henneaux

**ISBN:**069108775X**Category:**Math & Science**Author:**Claudio Teitelboim,Marc Henneaux**Subcategory:**Mathematics**Other formats:**mobi lit txt mbr**Language:**English**Publisher:**Princeton University Press (November 8, 1992)**Pages:**556 pages**FB2 size:**1939 kb**EPUB size:**1271 kb**Rating:**4.5**Votes:**779

Marc Henneaux, Claudio Teitelboim. This book is a systematic study of the classical and quantum theories of gauge systems

Marc Henneaux, Claudio Teitelboim. 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 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 real meat of the book starts in Chapter 8. In fact Chapters 8 through 14 are all on the BRST symmetry of the gauge fixed Lagrangians. This is why I read this book in the first place

The real meat of the book starts in Chapter 8. This is why I read this book in the first place. I was familiar with the BRST symmetry to the extent that most physicists are, . in its use in proving the renormalizability of gauge theories. After reading these seven chapters I learned a lot more about the beautiful mathematical foundations behind this symmetry, and its implications for the field theories.

Reducible gauge systems are discussed, and the relationship between BRST cohomology and gauge invariance is carefully explained.

Reducible gauge systems are discussed, and the relationship between BRST cohomology and gauge . Quantization of (jauge gvstems Marc Henneaux and Claudio Teitelboim Princeton University Press Princeton, New Jersey. The analysis covers indefinite metric systems, operator insertions, and Ward identities.

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.

Quantization of gauge systems. M Henneaux, C Teitelboim. Princeton university press, 1994. M Banados, M Henneaux, C Teitelboim, J Zanelli. Hamiltonian form of the path integral for theories with a gauge freedom. Physics Reports 126 (1), 1-66, 1985. Local BRST cohomology in gauge theories. G Barnich, F Brandt, M Henneaux. Physics Reports 338 (5), 439-569, 2000. Marc Henneaux, Claudio Teitelboim. This is a systematic study of the classical and quantum theories of gauge systems

Quantization of Gauge Systems. This is a systematic study of the classical and quantum theories of gauge systems.

Marc Henneaux Professor at the ULB and Director of the Solvay Institutes. C. Teitelboim, M. Henneaux, Quantization of gauge systems, Princeton University Press, 1992. Marc Henneaux studied physics at the University of Brussels in Belgium and received his doctoral degree in 1980 under the supervision of J. Géhéniau. Quantum mechanics of fundamental systems: the quest for beauty and simplicity: Claudio Bunster festschrift. Category: Physics, Quantum field theory, Gauge field theory. 0 Mb. The Quantum Structure of Space and Time (Proc. David Gross, Marc Henneaux, Alexander Sevrin. Category: Physics, Quantum mechanics. Marc Henneaux, Marc Henneaux, Jorge Zanelli.

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.