Abstract

The non-equilibrium hydrodynamic phenomena in strongly coupled quantum systems such as the N=4 supersymmetric Yang-Mills plasma, can be addressed with the tools of the AdS/CFT correspondence, where calculations in the gravity side of the duality can be performed through a large proper-time expansion. This expansion is asymptotic and encodes a spectrum of non-hydrodynamic modes reflecting the frequencies of AdS black-brane quasinormal modes. The emerging structure for the description of physical quantities such as the energy density is that of a resurgent transseries.

This connection between perturbative and non-perturbative contributions can be systematically studied using the theory of resurgence, allowing us to construct a full non-perturbative solution from perturbative asymptotic data. In this talk, I will analyse the essential role of resurgence theory, coupled to exponentially accurate numerical methods, in the description of the analytic solution behind the asymptotic late time behaviour of the Yang-Mills plasma.