5 papers
Hadamard states for linearized gravity on asymptotically flat spacetimes
Christian Gérard, Mikhail Molodyk, Michał Wrochna
We consider the quantization of linearized Einstein equations on 4-dimensional asymptotically flat spacetimes. We prove the existence of fully gauge invariant Hadamard states in th…
Classical and quantum scattering of massive Klein--Gordon fields in asymptotically flat spacetimes
Mikhail Molodyk
We use microlocal tools to define distinguished incoming and outgoing vacuum states of the quantum theory of massive Klein--Gordon fields in non-trapping asymptotically flat spacet…
The Feynman propagator for massive Klein-Gordon fields on radiative asymptotically flat spacetimes
Mikhail Molodyk, András Vasy
On a large class of asymptotically flat spacetimes which includes radiative perturbations of Minkowski space, we define a distinguished global Feynman propagator for massive Klein-…
The essential self-adjointness of the wave operator on radiative spacetimes
Qiuye Jia, Mikhail Molodyk, Ethan Sussman
We prove the essential self-adjointness of the d'Alembertian , allowing a larger class of spacetimes than previously considered, including those that arise from perturbi…
An analogue of non-interacting quantum field theory in Riemannian signature
Mikhail Molodyk, András Vasy
In this paper, we define a model of non-interacting quantum fields satisfying on a Riemannian scattering space with two boundary components, i.e. a manifold…