November 24, 2022, 15:45 Sala di Rappresentanza Mathematics Department, University of Milan Via Cesare Saldini 50, Milano, Italy
SPEAKER: Luca Fresta (Universität Bonn)
Stochastic Analysis of Subcritical Euclidean Fermionic Field Theories
In my talk, I will introduce a forward-backward stochastic differential equation
which provides a stochastic quantisation of subcritical Grassmann measures. The method is inspired by the so-called continuous renormalisation group, but
avoids the technical difficulties encountered in the direct study of the Polchinski’s flow equation for the effective potentials. If time permits, I will also show how to prove the exponential decay of correlations by a coupling method.
Work in collaboration with De Vecchi and Gubinelli.