Stochastic quantisation of the fractional \Phi^4_3 model in the full subcritical regime.
Stochastic quantisation is a stochastic analysis adapted to the multidimensional and distributional fields, in particular those arising in the Euclidean formulation of quantum field theory. In order to see this idea in action
I will give a sketch of a novel proof of the existence of the fractional Φ^4 Euclidean quantum field theory on the three dimensional Euclidean space and in the full subcritical regime via parabolic stochastic quantisation. Our approach is based on the use of a truncated flow equation for the effective description of the model at sufficiently small scales and on coercive estimates for the non-linear stochastic partial differential equation describing the interacting field.

Joint work with Paolo Rinaldi (Bonn).
Date: 6 March 2023, 14:00 (Monday, 8th week, Hilary 2023)
Venue: Mathematical Institute, Woodstock Road OX2 6GG
Venue Details: L3
Speaker: Massimiliano Gubinelli (University of Oxford)
Organising department: Department of Statistics
Part of: Probability seminar
Booking required?: Not required
Audience: Public
Editors: Christina Goldschmidt, Julien Berestycki