Quantization of Gauge Systems / / Claudio Teitelboim, Marc Henneaux.
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 homolo...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 |
|---|---|
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2020] ©1992 |
| Year of Publication: | 2020 |
| Language: | English |
| Online Access: | |
| Physical Description: | 1 online resource (552 p.) :; 4 illus. |
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| 001 | 9780691213866 | ||
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| 082 | 0 | 4 | |a 530.1/435 |2 23 |
| 100 | 1 | |a Henneaux, Marc, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Quantization of Gauge Systems / |c Claudio Teitelboim, Marc Henneaux. |
| 264 | 1 | |a Princeton, NJ : |b Princeton University Press, |c [2020] | |
| 264 | 4 | |c ©1992 | |
| 300 | |a 1 online resource (552 p.) : |b 4 illus. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 505 | 0 | 0 | |t Frontmatter -- |t CONTENTS -- |t PREFACE -- |t ACKNOWLEDGMENTS -- |t NOTATIONS -- |t CHAPTER ONE. CONSTRAINED HAMILTONIAN SYSTEMS -- |t CHAPTER TWO. GEOMETRY OF THE CONSTRAINT SURFACE -- |t CHAPTER THREE. GAUGE INVARIANCE OF THE ACTION -- |t CHAPTER FOUR. GENERALLY COVARIANT SYSTEMS -- |t CHAPTER FIVE. FIRST-CLASS CONSTRAINTS: FURTHER DEVELOPMENTS -- |t CHAPTER SIX. FERMI DEGREES OF FREEDOM: CLASSICAL MECHANICS OVER A GRASSMANN ALGEBRA -- |t CHAPTER SEVEN. CONSTRAINED SYSTEMS WITH FERMI VARIABLES -- |t CHAPTER EIGHT. GRADED DIFFERENTIAL ALGEBRAS- ALGEBRAIC STRUCTURE OF THE BRST SYMMETRY -- |t CHAPTER NINE. BRST CONSTRUCTION IN THE IRREDUCIBLE CASE -- |t CHAPTER TEN. BRST CONSTRUCTION IN THE REDUCIBLE CASE -- |t CHAPTER ELEVEN. DYNAMICS OF THE GHOSTS- GAUGE-FIXED ACTION -- |t CHAPTER TWELVE. THE BRST TRANSFORMATION IN FIELD THEORY -- |t CHAPTER THIRTEEN. QUANTUM MECHANICS OF CONSTRAINED SYSTEMS: STANDARD OPERATOR METHODS -- |t CHAPTER FOURTEEN. BRST OPERATOR METHOD- QUANTUM BRST COHOMOLOGY -- |t CHAPTER FIFTEEN. PATH INTEGRAL FOR UNCONSTRAINED SYSTEMS -- |t CHAPTER SIXTEEN. PATH INTEGRAL FOR CONSTRAINED SYSTEMS -- |t CHAPTER SEVENTEEN. ANTIFIELD FORMALISM: CLASSICAL THEORY -- |t CHAPTER EIGHTEEN. ANTIFIELD FORMALISM AND PATH INTEGRAL -- |t CHAPTER NINETEEN. FREE MAXWELL THEORY. ABELIAN TWO-FORM GAUGE FIELD -- |t CHAPTER TWENTY. COMPLEMENTARY MATERIAL -- |t EXERCISES. CHAPTER TWENTY -- |t BIBLIOGRAPHY -- |t INDEX |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 520 | |a 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. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) | |
| 650 | 7 | |a MATHEMATICS / Applied. |2 bisacsh | |
| 653 | |a Abelian constraints. | ||
| 653 | |a Berezin integral. | ||
| 653 | |a Canonical Hamiltonian. | ||
| 653 | |a Fourier transformation. | ||
| 653 | |a Gauss law. | ||
| 653 | |a Gaussian average. | ||
| 653 | |a Green functions. | ||
| 653 | |a Heisenberg algebra. | ||
| 653 | |a Jacobi identity. | ||
| 653 | |a Kunneth formula. | ||
| 653 | |a Lagrange multipliers. | ||
| 653 | |a Pauli matrices. | ||
| 653 | |a antighost number. | ||
| 653 | |a auxiliary fields. | ||
| 653 | |a boundary operator. | ||
| 653 | |a cohomology. | ||
| 653 | |a convolution. | ||
| 653 | |a derivations. | ||
| 653 | |a differential. | ||
| 653 | |a doublet. | ||
| 653 | |a effective action. | ||
| 653 | |a extended action. | ||
| 653 | |a exterior product. | ||
| 653 | |a harmonic states. | ||
| 653 | |a involution. | ||
| 653 | |a left derivatives. | ||
| 653 | |a local commutativity. | ||
| 653 | |a nontrivial cycle. | ||
| 653 | |a superdomain. | ||
| 700 | 1 | |a Teitelboim, Claudio, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton University Press eBook-Package Archive 1927-1999 |z 9783110442496 |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9780691213866?locatt=mode:legacy |
| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9780691213866 |
| 856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/cover/covers/9780691213866.jpg |
| 912 | |a 978-3-11-044249-6 Princeton University Press eBook-Package Archive 1927-1999 |c 1927 |d 1999 | ||
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