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PIRSA:20100057

Resurgence and Phase Transitions

APA

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

Gerald Dunne University of Connecticut

Talk numberPIRSA:20100057

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.