Lecture 1-2) Resurgence, transseries and towards a non-perturbative
continuum definition of QFTs<\/p>\n
(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
four dimensions.
We will introduce new calculable semi-classical saddles called neutral
and magnetic bions.
It will also discuss semi-classic realization of IR renormalons.)<\/p>\n
Lecture 3) Analytic continuation, Lefschetz thimbles and
introduction to alien calculus<\/p>\n
This lecture will cover formal aspects in d=0 dimensional examples
which form prototypes for QFTs.<\/p>\n
Lecture 4) Non-perturbative saddles in QFTs and QM beyond topological
classification.<\/p>\n
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
matrix models.<\/p>\n","protected":false},"featured_media":0,"template":"","tags":[],"seminar_category":[57],"acf":{"s_now_accepting":true,"s_date_order":"2014-02-24 13:30:00","s_date_end":null,"s_date_text":"","s_text":"Mithat Unsal","s_place":"KMI Science Symposia (ES635)","s_place_other":"","s_categoryother":"KMI Special Lecture (2\/24, 25)","s_poster":"