Hadamard property of the in and out states for Klein-Gordon fields on asymptotically static spacetimes
arXiv:1609.00190 · doi:10.1007/s00023-017-0573-2
Abstract
We consider the massive Klein-Gordon equation on a class of asymptotically static spacetimes (in the long range sense) with Cauchy surface of bounded geometry. We prove the existence and Hadamard property of the in and out states constructed by scattering theory methods.
First part of a splitted and extended version of a manuscript which was originally arXiv:1603.07465; v2: various minor improvements, accepted in AHP
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- Algebraic Classical and Quantum Field Theory on Causal Sets
- The art of the state
- Hadamard states for quantized Dirac fields on Lorentzian manifolds of bounded geometry
- Limiting absorption principle and equivalence of Feynman propagators on asymptotically Minkowski spacetimes
- Quantum Field Theory in Curved Spacetime (2nd Edition)
- Essential self-adjointness for the Klein-Gordon type operators on asymptotically static spacetime
- Unveiling horizons in quantum critical collapse
- An index theorem on asymptotically static spacetimes with compact Cauchy surface
- Propagators in curved spacetimes from operator theory
- Bogolyubov invariant via relative spectral invariants on manifolds
- Hadamard property of the in and out states for Dirac fields on asymptotically static spacetimes