Resurgence and transseries in quantum theories
Lecture 1-2) Resurgence, transseries and towards a non-perturbative
continuum definition of QFTs
(This two lecture will mostly discuss general concepts in the context
of asymptotically free QFTs:
CP(N-1) in two-dimensions, and deformed Yang-Mills and QCD(adj) in
We will introduce new calculable semi-classical saddles called neutral
and magnetic bions.
It will also discuss semi-classic realization of IR renormalons.)
Lecture 3) Analytic continuation, Lefschetz thimbles and
introduction to alien calculus
This lecture will cover formal aspects in d=0 dimensional examples
which form prototypes for QFTs.
Lecture 4) Non-perturbative saddles in QFTs and QM beyond topological
I will address NP saddles in theories without a homotopy group, and
multiple ways to derive them.
Time permitting, I will also discuss exotic examples of complex
saddles, (generalized instanton sector)
in multiple context including QM, and perhaps non-linear ODEs, and