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- W4300881108 abstract "We consider the wave equation on asymptotically Minkowski spacetimes and the Klein-Gordon equation on even asymptotically de Sitter spaces. In both cases we show that the extreme difference of propagators (i.e. retarded propagator minus advanced, or Feynman minus anti-Feynman), defined as Fredholm inverses, induces a symplectic form on the space of solutions with wave front set confined to the radial sets. Furthermore, we construct isomorphisms between the solution spaces and symplectic spaces of asymptotic data. As an application of this result we obtain distinguished Hadamard two-point functions from asymptotic data. Ultimately, we prove that the corresponding Quantum Field Theory on asymptotically de Sitter spacetimes induces canonically a QFT beyond the future and past conformal boundary, i.e. on two even asymptotically hyperbolic spaces. Specifically, we show this to be true both at the level of symplectic spaces of solutions and at the level of Hadamard two-point functions." @default.
- W4300881108 created "2022-10-04" @default.
- W4300881108 creator A5026196332 @default.
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- W4300881108 date "2015-12-25" @default.
- W4300881108 modified "2023-10-15" @default.
- W4300881108 title "Quantum fields from global propagators on asymptotically Minkowski and extended de Sitter spacetimes" @default.
- W4300881108 doi "https://doi.org/10.48550/arxiv.1512.08052" @default.
- W4300881108 hasPublicationYear "2015" @default.
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