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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
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
