Parametrized scalar field on openRgreater than or equal to/sup 1/: Dynamical pictures, spacetime diffeomorphisms, and conformal isometries
As a preparation for a consistent Dirac constraint quantization and an anomaly-free operator representation of the spacetime diffeomorphism algebra, we develop a covariant canonical theory of a parametrized massless scalar field propagating on a cylindrical Minkowskian spacetime. We show how to pass from the Schroedinger picture to the Heisenberg picture on the extended phase space of this parametrized system, how to construct a pair of canonical representations of L DiffM by using these pictures, and how to relate canonical representations of conformal isometries to those of L DiffM. We reconstruct the spacetime structures needed for operator ordering from the geometric data on a single embedding. We keep the formalism covariant under all relevant transformations.
- Research Organization:
- Department of Physics, University of Utah, Salt Lake City, Utah 84112
- OSTI ID:
- 6447506
- Journal Information:
- Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 39:6; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CLASSICAL MECHANICS
COMMUTATORS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ENERGY-MOMENTUM TENSOR
EQUATIONS
HEISENBERG PICTURE
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MECHANICS
MINKOWSKI SPACE
PARTIAL DIFFERENTIAL EQUATIONS
PHASE SPACE
QUANTIZATION
QUANTUM OPERATORS
SCALAR FIELDS
SCHROEDINGER EQUATION
SPACE
SPACE-TIME
TENSORS
WAVE EQUATIONS