35 citations · 89 across the 15 of their papers we have counts for
5 papers · 1 filter
Hadamard property of the in and out states for Dirac fields on asymptotically static spacetimes
Christian Gérard, Théo Stoskopf
We consider massive Dirac equations on asymptotically static spacetimes with a Cauchy surface of bounded geometry. We prove that the associated quantized Dirac field admits in and…
Hadamard states for quantized Dirac fields on Lorentzian manifolds of bounded geometry
Christian Gérard, Theo Stoskopf
We consider Dirac equations on even dimensional Lorentzian manifolds of bounded geometry with a spin structure. For the associated free quantum field theory, we construct pure Hada…
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…
Microlocal Analysis of Quantum Fields on Curved Spacetimes
Christian Gérard
These lecture notes give an exposition of microlocal analysis methods in the study of Quantum Field Theory on curved spacetimes. We concentrate on free fields and the corresponding…
Asymptotic completeness for superradiant Klein-Gordon equations and applications to the De Sitter Kerr metric
Vladimir Georgescu, Christian Gérard, Dietrich Häfner
We show asymptotic completeness for a class of superradiant Klein-Gordon equations. Our results are applied to the Klein-Gordon equation on the De Sitter Kerr metric with small ang…