In this talk, I will describe a synergy between the renormalization group (RG) in the form of Polchinski’s equation and the stochastic quantisation in the form of a forward-backward stochastic differential equation (FBSDE). This approach can be used for constructing subcritical Grassmann Gibbsian measures and is based on controlling the solution of the FBSDE by means of a flow equation with respect to a scale parameter. However, unlike the standard RG approach, we only need to solve Polchinski’s equation in an approximate way, resulting in a great simplification of the analysis.
Based on joint work with F. De Vecchi and M. Gubinelli.
This video was produced by the University of Münster, as part of the workshop Stochastic Analysis meets QFT – critical theory.
