5 papers · 1 filter
The Unruh state for massless fermions on Kerr spacetime and its Hadamard property
Christian Gérard, Dietrich Häfner, Michał Wrochna
We give a rigorous definition of the Unruh state in the setting of massless Dirac fields on slowly rotating Kerr spacetimes. In the black hole exterior region, we show that it is a…
A mechanism for holography for non-interacting fields on anti-de Sitter spacetimes
Wojciech Dybalski, Michał Wrochna
In the setting of non-interacting Klein-Gordon fields on asymptotically anti-de Sitter spacetimes, we show that algebras of observables localized in a neighborhood of the boundary…
Wick rotation of the time variables for two-point functions on analytic backgrounds
Michał Wrochna
We set up a general framework for Calderón projectors (and their generalization to non-compact manifolds), associated with complex Laplacians e.g. obtained by Wick rotation of a Lo…
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…