35 citations · 89 across the 15 of their papers we have counts for
17 papers
Wick rotation of linearized gravity in Gaussian time and Calderón projectors
Christian Gérard, Simone Murro, Michał Wrochna
Motivated by the quantization of linearized gravity, we consider gauge-fixed linearized Einstein equations and their Wick rotation near a Cauchy surface. We show that Calderón proj…
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 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…
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…