A nonlocal generalisation of Green hyperbolicity
Christopher Fewster (University of York)
Abstract: I describe how Bär's theory of Green hyperbolic partial differential operators can be generalized to nonlocal operators, where the nonlocality is confined to a compact spacetime region. Operators of this type arise in some models of the interaction between a field and a particle detector, but they can also be used to model fields on noncommutative spacetimes and "soft causality violation".
It is shown that the nonlocal Green hyperbolic operators enjoy (suitable generalizations of) many of the properties of Green hyperbolic operators; in particular, they can be used as the starting point for a quantum field theory on curved spacetimes.
The talk describes work in progress with Rainer Verch (Leipzig).
high energy physicsmathematical physicsanalysis of PDEsspectral theory
Audience: researchers in the topic
Scattering, microlocal analysis and renormalisation
Series comments: Mondays: aarhusuniversity.zoom.us/j/9036772485 Meeting ID: 903 677 2485
Thursdays: us02web.zoom.us/j/6094800950 Meeting ID: 609 480 0950
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Links to the slides can be found here: drive.google.com/file/d/1uu6ZvU6zlGalJpZR7ZDi7igsvBMBylOA/view
| Organizers: | Claudio Dappiaggi, Jacob Schach Møller, Michał Wrochna* |
| *contact for this listing |