Speaker: Maria Kallimani (HU Berlin)

Title: Worldline Geometries for Scattering Amplitudes

Abstract:
In this talk, I will discuss a framework for the computation of scattering amplitudes by using different geometries of the open worldline. To that end, I will discuss how a path integral can be defined for an infinite and semi-infinite worldline. I will argue that on the infinite worldline, asymptotic states are generated by inserting vertex operators at infinity, a process which implements the LSZ reduction. Correlators on the semi-infinite worldline are treated as generalized vertex operators, which are tree sub-diagrams to be glued to another given worldline. All in all, we obtain a fully worldline based representation of scattering amplitudes, which in this talk we will apply in the case of scalar self-interacting theories.