Conference talk at "Stochastic Analysis meets QFT - critical theory", 12-14 June 2023, in Münster, Germany
Abstract: 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.
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