Date/heure
11 octobre 2021
15:30 - 16:30
Lieu
Salle de conférences Nancy
Oratrice ou orateur
Simone Murro
Catégorie d'évènement Séminaire de géométrie différentielle
Résumé
Paracausal deformations of Lorentzian metrics and their consequences in quantum field theory
It is well-known that the space of Riemannian metrics on a smooth manifold is path-connected. Indeed, the convex combination of Riemannian metrics produces a Riemannian metric. This is not true, for the space of Lorentzian metric and a natural question pop up: Are there some natural operations that can be used to produce Lorentzian metrics starting from Lorentzian metrics?
This talk aims to provide sufficient conditions for some kind of linear combination of Lorentzian metrics to be a Lorentzian metric. In particular, the notion of paracausal deformation of a Lorentzian metric will be introduced and discussed in detail. After few characterizations, I will discuss shortly the consequences in quantum field theory.