Resurgence and Phase Transitions
APA
Dunne, G. (2020). Resurgence and Phase Transitions. Perimeter Institute. https://pirsa.org/20100057
MLA
Dunne, Gerald. Resurgence and Phase Transitions. Perimeter Institute, Oct. 20, 2020, https://pirsa.org/20100057
BibTex
@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}} }
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.