Scalar quantum field in an external gravitational field
Journal Article
·
· J. Math. Phys. (N.Y.); (United States)
We consider a class of Lorentz metrics on R/sup 4/ which are Minkowskian off a compact set. For each such metric we construct a quantum field operator which satisfies the generalization of the Klein--Gordon equation. The field has a causal commutator and transforms as a scalar under general coordinate transformations. The field determines a unitary scattering operator which is invariant under coordinate transformations.
- Research Organization:
- Department of Mathematics, SUNY at Buffalo, Buffalo, New York 14214
- OSTI ID:
- 5772120
- Journal Information:
- J. Math. Phys. (N.Y.); (United States), Vol. 20:12
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
QUANTUM FIELD THEORY
METRICS
SCALAR FIELDS
GRAVITATIONAL FIELDS
KLEIN-GORDON EQUATION
QUANTUM OPERATORS
SCATTERING
UNITARY SYMMETRY
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
MATHEMATICAL OPERATORS
SYMMETRY
WAVE EQUATIONS
645400* - High Energy Physics- Field Theory
657003 - Theoretical & Mathematical Physics- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
QUANTUM FIELD THEORY
METRICS
SCALAR FIELDS
GRAVITATIONAL FIELDS
KLEIN-GORDON EQUATION
QUANTUM OPERATORS
SCATTERING
UNITARY SYMMETRY
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
MATHEMATICAL OPERATORS
SYMMETRY
WAVE EQUATIONS
645400* - High Energy Physics- Field Theory
657003 - Theoretical & Mathematical Physics- Relativity & Gravitation