Seminar: Cheshire Cat Resurgence in QM and QFT

  • Date:
  • Location: A73121
  • Lecturer: Daniele Dorigoni (Durham)
  • Contact person: Fabrizio Nieri
  • Seminarium

We start by reviewing some background material on Borel transform and resurgent analysis emphasising their importance in standard perturbation theory for physical observables. We then specialise our discussion to some simple supersymmetric quantum mechanical model showing how resurgence can be applied also in the case of a truncating, or even vanishing perturbative expansion in a nice example of what is called Cheshire cat resurgence. We continue with a two-dimensional quantum field theory example studying the prototypical CP^{N-1} model with N=(2,2) supersymmetry. After having computed the two-sphere partition function of this model via susy-localisation we show how Cheshire cat resurgence appears also in this quantum field theory example, allowing us to reconstruct non-perturbative physics even in the case of a truncating perturbative expansion.