PIRSA:20100057 Scientific Series Quantum Fields and Strings

DOI10.48660/20100057

Series: Quantum Fields and Strings

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}}
}

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.

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