The Klein-Gordon equation on curved spacetimes and its propagators

Date/heure
23 février 2018
11:00 - 12:00

Oratrice ou orateur
Jan Derezinski

Catégorie d'évènement
Séminaire EDP, Analyse et Applications (Metz)


Résumé

The Klein-Gordon equation has several natural Green’s functions, often called propagators. The so-called Feynman propagator, used in quantum field theory, has a clear definition on static spacetimes. I will discuss, partly on a heuristic level, its possible generalizations to the non-static case. I will also describe a curious, partly open problem about the self-adjointness of the Klein-Gordon operator. I will also describe how to compute the singularities around the diagonal using a special geometric version of pseudodifferential calculus