Adiabatic Vacuum States on General Spacetime Manifolds: Definition, 
Construction, and Physical Properties

Junker, Wolfgang; Schrohe, Elmar

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学術論文

Adiabatic Vacuum States on General Spacetime Manifolds: Definition, Construction, and Physical Properties

MPS-Authors

Junker, Wolfgang
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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3519.pdf
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引用

Junker, W., & Schrohe, E. (2002). Adiabatic Vacuum States on General Spacetime Manifolds: Definition, Construction, and Physical Properties. Annales Henri Poincare, 3, 1113-1181.

引用: https://hdl.handle.net/11858/00-001M-0000-0013-5543-0

要旨

Adiabatic vacuum states are a well-known class of physical states for linear quantum fields on Robertson-Walker spacetimes. We extend the definition of adiabatic vacua to general spacetime manifolds by using the notion of the Sobolev wavefront set. This definition is also applicable to interacting field theories. Hadamard states form a special subclass of the adiabatic vacua. We analyze physical properties of adiabatic vacuum representations of the Klein-Gordon field on globally hyperbolic spacetime manifolds (factoriality, quasiequivalence, local definiteness, Haag duality) and construct them explicitly, if the manifold has a compact Cauchy surface