49 citations · 230 across the 18 of their papers we have counts for
20 papers
The massive Feynman propagator on asymptotically Minkowski spacetimes II
Christian Gérard, Michal Wrochna
We consider the massive Klein-Gordon equation on short-range asymptotically Minkowski spacetimes. Extending our results in [GW1], we show that the Klein-Gordon operator with Feynma…
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…
On the adiabatic limit of Hadamard states
Nicoló Drago, Christian Gérard
We consider the adiabatic limit of Hadamard states for free quantum Klein-Gordon fields, when the background metric and the field mass are slowly varied from their initial to final…
The massive Feynman propagator on asymptotically Minkowski spacetimes
Christian Gérard, Michał Wrochna
We consider the massive Klein-Gordon equation on asymptotically Minkowski spacetimes, in the sense that the manifold is and the metric approaches that of Minkowski space…
Hadamard property of the in and out states for Klein-Gordon fields on asymptotically static spacetimes
Christian Gérard, Michał Wrochna
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 existen…
Hadamard states for the Klein-Gordon equation on Lorentzian manifolds of bounded geometry
Christian Gérard, Omar Oulghazi, Michal Wrochna
We consider the Klein-Gordon equation on a class of Lorentzian manifolds with Cauchy surface of bounded geometry, which is shown to include examples such as exterior Kerr, Kerr-de…