Mining Perturbation Theory: Resurgence-Inspired Extrapolation and Analytic Continuation

29.11.2022 16:15 - 17:00

Gerald V. Dunne (U Connecticut)

Abstract: What is the best way to extract information from a finite amount of perturbative information? This is a common problem in applications.

We may only be able to compute a (small) finite number of coefficients of an expansion of a function about some special parameter point, and we wish to learn about the behaviour near another point (possibly very distant).

I will discuss some recent work with Ovidiu Costin using resurgence ideas to address the mathematical question of optimal and near-optimal methods of analytic continuation, and I will illustrate with several applications in quantum field theory.

Zoom Meeting