Symmetries and locality in perturbative algebraic quantum field theory

Abstract: Perturbative algebraic quantum field theory (pAQFT) is a rigorous framework for perturbative QFT, applicable also on curved spacetimes, which makes heavy use of microlocal analysis. The key idea is that through constructing extensions of certain distributions, one obtains time-ordered products of quantum fields. This becomes more complicated when symmetries are involved, e.g. in QED, Yang-Mills theories and gravity. In this talk I will explain how the idea of locality and application of homological algebra naturally lead to a construction known as BV formalism.

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

Please e-mail the organizers for the password meeting. Please keep in mind that the schedule on researchseminars.org might refer to your local time zone.

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