2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/19317We study thermally activated dynamics using functional renormalization within the field theory of randomly pinned elastic systems, a prototype for glasses. It appears through an essentially non-perturbative boundary layer in the running effective action, for which we find a consistent scaling ansatz to all orders. We find that in the statics the boundary layer describes the physics of rare low energy metastable states as suggested by a phenomenological droplet picture. The extension to equilibrium dynamics mandates a non-trivial broad distribution of relaxation times for the large scale modes, hitherto neglected in analytic calculations.Disordered Systems and Neural NetworksStatistical Mechanicstext