QFT as a set of ODEsConfirmed

by Joao Penedones (L'Ecole Polytechnique Federale de Lausanne (EPFL))

Tuesday Apr 14, 2026, 2:00 PM → 3:30 PM America/Toronto

PI/4-400 - Space Room (Perimeter Institute for Theoretical Physics)

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.