PIRSA:26040092 Scientific Series Quantum Fields and Strings

DOI10.48660/26040092

Series: Quantum Fields and Strings

Penedones, J. (2026). QFT as a set of ODEs. Perimeter Institute. https://pirsa.org/26040092

Penedones, Joao. QFT as a set of ODEs. Perimeter Institute, Apr. 14, 2026, https://pirsa.org/26040092 

@misc{ pirsa_PIRSA:26040092,
  doi = {10.48660/26040092},
  url = {https://pirsa.org/26040092},
  author = {Penedones, Joao},
  keywords = {Quantum Fields and Strings},
  language = {en},
  title = {QFT as a set of ODEs},
  publisher = {Perimeter Institute},
  year = {2026},
  month = {apr},
  note = {PIRSA:26040092 see, \url{https://pirsa.org}}
}

Abstract

Quantum Field Theory (QFT) on hyperbolic space can be characterized by a set of numbers that we call QFT data. For simplicity, we focus on two dimensional QFTs and derive a universal set of first order Ordinary Differential Equations (ODEs) that encode the variation of the QFT data under an infinitesimal change of a bulk relevant coupling. In principle, our ODEs can be used to follow a Renormalization Group (RG) flow starting from a solvable QFT into a strongly coupled phase and to the flat space limit.

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