Renormalization of determinant lines in Quantum Field Theory

Abstract: In the present talk, we will discuss how we understand a three page note from Quillen's notebook where he tries to make sense of the technique of "adding counterterms to the Lagrangian to remove the infinities" used in renormalized perturbation theory. Then we explain what the counterterms are in the situation of a quantized fermion field, interacting with a gauge field treated as an external field. Our discussion will also be very much inspired by I.M Singer's lecture on families of Dirac operators with application to physics.

high energy physicsmathematical physicsanalysis of PDEsspectral theory

Audience: researchers in the topic

Scattering, microlocal analysis and renormalisation

Series comments: Mondays: aarhusuniversity.zoom.us/j/9036772485 Meeting ID: 903 677 2485

Thursdays: us02web.zoom.us/j/6094800950 Meeting ID: 609 480 0950

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Links to the slides can be found here: drive.google.com/file/d/1uu6ZvU6zlGalJpZR7ZDi7igsvBMBylOA/view