Quantum fields in curved spaces: Kinetic theory
Thesis/Dissertation
·
OSTI ID:6901994
The extension of flat space quantum kinetic theory to curved space-times is described. This is accomplished by implementing a generalized Wigner transformation on the Hadamard function of the field theory. A quasilocal momentum space is introduced via Riemann normal coordinates. An exact treatment of the field in purely kinetic terms is impossible; off-shell behavior is accounted for, to some degree, by the introduction of an expansion around the mass-shell. In curved spacetime, free scalar and spinor fields are considered. It is shown that the Wigner transformation leads to quantum corrected Einstein-Vlasov equations having the expected classical limits. The stress tensor for a free scalar field is constructed in terms of the Wigner function. Divergences are isolated by dimensional regularization and covariant conservation is demonstrated. A model of time-dependent oscillators is considered. The oscillators have time dependent frequencies and interactions. An exact Langevin equation for the system is derived. The model is then studied in a settling appropriate for de Sitter space. Two new effects are found: (1) a time dependent contribution to the effective potential with indeterminate sign and (2) a noise-dependent viscosity.
- Research Organization:
- Maryland Univ., College Park, MD (USA)
- OSTI ID:
- 6901994
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645400* -- High Energy Physics-- Field Theory
657000 -- Theoretical & Mathematical Physics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CALCULATION METHODS
CLUSTER EMISSION MODEL
DATA
ELECTRONIC EQUIPMENT
EQUATIONS
EQUIPMENT
FIELD THEORIES
INFORMATION
KINETICS
LANGEVIN EQUATION
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MULTIPERIPHERAL MODEL
NUMERICAL DATA
OSCILLATORS
PARTICLE MODELS
PERIPHERAL MODELS
QUANTUM FIELD THEORY
RIEMANN SPACE
SCALAR FIELDS
SPACE
SPACE-TIME MODEL
SPINOR FIELDS
THEORETICAL DATA
WIGNER THEORY
657000 -- Theoretical & Mathematical Physics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CALCULATION METHODS
CLUSTER EMISSION MODEL
DATA
ELECTRONIC EQUIPMENT
EQUATIONS
EQUIPMENT
FIELD THEORIES
INFORMATION
KINETICS
LANGEVIN EQUATION
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MULTIPERIPHERAL MODEL
NUMERICAL DATA
OSCILLATORS
PARTICLE MODELS
PERIPHERAL MODELS
QUANTUM FIELD THEORY
RIEMANN SPACE
SCALAR FIELDS
SPACE
SPACE-TIME MODEL
SPINOR FIELDS
THEORETICAL DATA
WIGNER THEORY