4 papers
The Feynman problem for the Klein-Gordon equation
Christian Gérard, Michał Wrochna
We report on the well-posedness of the Feynman problem for the Klein-Gordon equation on asymptotically Minkowski spacetimes. The main result is the invertibility of the Klein-Gordo…
Propagation of singularities on AdS spacetimes for general boundary conditions and the holographic Hadamard condition
Oran Gannot, Michał Wrochna
We consider the Klein-Gordon equation on asymptotically anti-de Sitter spacetimes subject to Neumann or Robin (or Dirichlet) boundary conditions, and prove propagation of singulari…
Analytic Hadamard states, Calderón projectors and Wick rotation near analytic Cauchy surfaces
Christian Gérard, Michał Wrochna
We consider the Klein-Gordon equation on analytic spacetimes with an analytic Cauchy surface. In this setting, we prove the existence of pure analytic Hadamard states. The proof is…
Feynman propagators and Hadamard states from scattering data for the Klein-Gordon equation on asymptotically Minkowski spacetimes
Christian Gérard, Michal Wrochna
We consider the massive Klein-Gordon equation on a class of asymptotically static spacetimes. We prove the existence and Hadamard property of the in and out states constructed by s…