5 papers
Relative trace formulas for obstacle scattering with Neumann and transmission boundary conditions
Arne Hofmann, Alexander Strohmaier
We consider the case of scattering by several obstacles in for . We establish a relative trace formula for Neumann and transmission boundary conditions ana…
An analytic approach to the stress energy tensor in quantum field theory
Alexander Strohmaier
We discuss a framework for quantum fields in curved spacetimes that possess a stress energy tensor as a connection one form on a suitable moduli space of metrics. In generic spacet…
On the construction of Hadamard states from Feynman propagators
Christopher J. Fewster, Alexander Strohmaier
The Wightman two-point function of any Hadamard state of a linear quantum field theory determines a corresponding Feynman propagator. Conversely, however, a Feynman propagator dete…
Heat and Wave kernel expansions for stationary spacetimes
Alexander Strohmaier, Steve Zelditch
The generator of time-translations on the solution space of the wave equation on stationary spacetimes specialises to the square root of the Laplacian on Riemannian manifolds when…
On microlocalisation and the construction of Feynman Propagators for normally hyperbolic operators
Onirban Islam, Alexander Strohmaier
This article gives global microlocalisation constructions for normally hyperbolic operators on a vector bundle over a globally hyperbolic spacetime in geometric terms. As an applic…