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 6GGSee location on maps.ox**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