Renormalization of Feynman amplitudes on Riemannian manifolds
Speaker: Bin Zhang, Sichuan University
Abstract: In this talk, we study a spectral regularization for Feynman amplitudes on Riemannian manifolds. The aim is to build mathematical foundations for the renormalization of perturbative interacting quantum field theories. Our main result shows that spectrally regularized Feynman amplitudes admit an analytic continuation as meromorphic germs with linear poles. We also give position of possible poles. Our proof relies on suitable resolution of singularities of products of heat kernels. As an application of the analytic continuation result, we build renormalization maps which satisfy the consistency conditions introduced in the work of Nikolov-Todorov-Stora. This is joint work with V, Dang.
Room Reservation Information
Room Number: 106 McAllister
Time: 2:30pm - 3:30pm