The Feynman propagator in some model singular settings

 

Speaker:Dean Baskin

Time: 10:00-11:00 am

Date: 2022-10-07

zoom: 618 038 6257     Password: SCMS

 

Abstract:

In this talk I will describe the existence and asymptotic properties of the Feynman propagator in three model singular settings: the scalar wave equation on cones, the scalar wave equation on Minkowski space with an inverse square potential, and the massless Dirac equation in 3 dimensions coupled to a Coulomb potential. The proof combines techniques of Gell-Redman–Haber–Vasy as well as prior work with Booth, Gell-Redman, Marzuola, Vasy, and Wunsch. One novelty of the proof is that it does not rely on Wick rotation (though a shadow of it survives in some special function analysis at infinity).

 

[Seminar on microlocal analysis and applications]