Renormalization of Feynman amplitudes on Riemannian manifolds

GAP Seminar

Meeting Details

For more information about this meeting, contact Ping Xu, Nigel Higson, Mathieu Stiénon, Kendra Stauffer, Matthew Peddie.

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 fi eld 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

Date: 10/02/2018

Time: 2:30pm - 3:30pm