Renormalization of quantum field theory on Riemannian manifolds

20.04.2018, 10:30 Uhr  –  Haus 9, Raum 2.22
Arbeitsgruppenseminar Analysis

Viet Dang Nguyen (Lyon I)

I will present an overview of results obtained with Bin Zhang (Sichuan University). We will start by giving a simple example which shows the necessity to subtract infinities in quantum field theory. Then we introduce the notion of Feynman amplitudes and study their singularities using a zeta regularization with several parameters. Finally we will apply this method to perturbative renormalization of quantum field theories on Riemannian manifolds.