The Klein-Gordon equation on curved spacetimes and its propagators

Jeudi 8 février 10:30-11:30 - Jan Dereziński - Warsaw university

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.

Lieu : Salle 3L8, IMO

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