83 citations · 480 across the 42 of their papers we have counts for
17 papers · 1 filter
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…
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…
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…
Dimensional reduction formulae for spectral traces and Casimir energies
Alexander Strohmaier
This short letter considers the case of acoustic scattering by several obstacles in for of the form , where is a smooth bo…
Analytic states in quantum field theory on curved spacetimes
Alexander Strohmaier, Edward Witten
We discuss high energy properties of states for (possibly interacting) quantum fields in curved spacetimes. In particular, if the spacetime is real analytic, we show that an analog…
A mathematical analysis of Casimir interactions I: The scalar field
Yan-Long Fang, Alexander Strohmaier
Starting from the construction of the free quantum scalar field of mass we give mathematically precise and rigorous versions of three different approaches to computing th…