25.04.2024, 16:15
– Raum 1.10
Forschungsseminar Differentialgeometrie
Atiyah-Singer-Indexsatz
Lennart Ronge (UP)
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.