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Article Dans Une Revue Annales Henri Poincare Année : 2018

Quantum Fields from Global Propagators on Asymptotically Minkowski and Extended de Sitter Spacetimes

András Vasy
  • Fonction : Auteur
Michał Wrochna
  • Fonction : Auteur

Résumé

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 non-interacting Quantum Field Theory on asymptotically de Sitter spacetimes extends across the future and past conformal boundary, i.e., to a region represented by 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.

Dates et versions

hal-01774779 , version 1 (23-04-2018)

Identifiants

Citer

András Vasy, Michał Wrochna. Quantum Fields from Global Propagators on Asymptotically Minkowski and Extended de Sitter Spacetimes. Annales Henri Poincare, 2018, 19 (5), pp.1529-1586. ⟨10.1007/s00023-018-0650-1⟩. ⟨hal-01774779⟩
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