スピーカー：Daniele Dorigoni (Durham University)

タイトル：Divergent series, Modularity and Resurgence in QFT

アブストラクト：
In this talk we shall discuss the divergent nature of most
physical quantities computed in a perturbative expansion for some weak
coupling parameter. The asymptotic nature of perturbation theory hides
beautiful non-perturbative phenomenon via resurgence analysis. As a
concrete example, we discuss certain physical observables in a highly
symmetric quantum field theory known as N=4 supersymmetric Yang-Mills
theory. Due to electro-magnetic duality, we expect these correlators to be
invariant under a weak/strong coupling duality. Resurgence analysis and
such modular invariance  uniquely constrain these correlators. We conclude
with some comments on the usefulness of such correlation functions.