Decoding the Path Integral: Resurgence and Non-Perturbative Physics

Abstract

There are several important conceptual and computational questions concerning path integrals which have recently been approached from new perspectives motivated by "resurgent asymptotics", a novel mathematical formalism that effectively unifies perturbative and non-perturbative physics. This talk will review the basic ideas behind the connections between resurgent asymptotics and physics, starting from the work of Airy and Stokes, and the development of trans-series by Ecalle, and then turn to several recent applications in quantum mechanics and quantum field theory. The main motivation is to develop a deeper understanding of field theoretic path integrals directly from a saddle point Lefschetz thimble decomposition, and also by reconstruction from perturbative information.
 

Ample space for questions and discussion will be allocated at the end of the TH Colloquium.  We have also created an online Q&A space for each seminar. You can submit your question by filling the form. The answers will be published soon after.

For more info see  https://www.ggi.infn.it/seminars