Resurgent Transseries: Beyond (Large N) Perturbative Expansions

by Ricardo Schiappa (IST, Lisbon)

Friday 25 Oct 2013, 14:00 → 15:00 Europe/Zurich

4/3-006 - TH Conference Room (CERN)

In this talk I will review recent progress in generically defining perturbation theory even in non-Borel summable situations, by making use of resurgent analysis and transseries. As an example, I will address the large N perturbative expansion and discuss new nonperturbative contributions found deep in the large-order expansion of the genus expansion. If time allows, I will also briefly comment on the large N dual picture (via matrix models), where resurgence and transseries may also be used to obtain nonperturbative solutions of closed (topological) string theory.

Slides CERN2013.pdf