A01=Claudio Teitelboim
A01=Marc Henneaux
Action (physics)
Antisymmetric tensor
Author_Claudio Teitelboim
Author_Marc Henneaux
Axiom
Basis (linear algebra)
Boundary value problem
BRST quantization
Canonical quantization
Canonical transformation
Category=PHD
Category=PHQ
Change of variables
Classical electromagnetism
Classical limit
Cohomology
Commutative property
Commutator
Configuration space
Conjugate variables
Critical dimension
Degrees of freedom (statistics)
Diagram (category theory)
Differential form
Differential operator
Dimension (vector space)
Dimensional regularization
Dirac bracket
Dirac delta function
Eigenfunction
Eigenvalues and eigenvectors
Energy level
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eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
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Equation
Equations of motion
Expectation value (quantum mechanics)
Fermi-Dirac statistics
Gauge anomaly
Gauge fixing
Gauge function
Gauge theory
Gaussian integral
General covariance
Global symmetry
Hamilton-Jacobi equation
Hamiltonian constraint
Hamiltonian mechanics
Hamiltonian vector field
Infinitesimal generator (stochastic processes)
Jacobi identity
Jacobian matrix and determinant
Lagrange multiplier
Lagrangian (field theory)
Linear differential equation
Linear equation
Lorentz covariance
Minkowski space
Path integral formulation
Perturbation theory
Perturbation theory (quantum mechanics)
Phase space
Poisson bracket
Projection (linear algebra)
Quantum master equation
Quotient space (linear algebra)
Rotational invariance
Schrodinger equation
Schwinger-Dyson equation
Symplectic geometry
Tensor product
Theorem
Total derivative
Unitarity (physics)
Variable (mathematics)
Variational principle
Product details
- ISBN 9780691037691
- Weight: 794g
- Dimensions: 197 x 254mm
- Publication Date: 28 Aug 1994
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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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.
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.
