PIRSA:20100057

Resurgence and Phase Transitions

Dunne, G. (2020). Resurgence and Phase Transitions. Perimeter Institute. https://pirsa.org/20100057

Dunne, Gerald. Resurgence and Phase Transitions. Perimeter Institute, Oct. 20, 2020, https://pirsa.org/20100057 

          @misc{ pirsa_PIRSA:20100057,
            doi = {10.48660/20100057},
            url = {https://pirsa.org/20100057},
            author = {Dunne, Gerald},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Resurgence and Phase Transitions},
            publisher = {Perimeter Institute},
            year = {2020},
            month = {oct},
            note = {PIRSA:20100057 see, \url{https://pirsa.org}}
          }

Gerald Dunne University of Connecticut

Talk numberPIRSA:20100057
DOI10.48660/20100057
Collection
Talk Type Scientific Series
Subject

Abstract

There are several important conceptual and computational questions concerning path integrals in QM and QFT, which have recently been approached from new perspectives motivated by "resurgent asymptotics", a novel mathematical formalism that seeks to unify perturbative and non-perturbative physics. I will discuss the basic ideas behind the connections between resurgent asymptotics and physics, ranging from differential equations to phase transitions and QFT. I will also discuss the reconstruction problem: how to optimally reconstruct non-perturbative information from a finite amount of perturbative information.