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math.PR2022★ 1 cited
A singular integration by parts formula for the exponential Euclidean QFT on the plane
Francesco C. De Vecchi, Massimiliano Gubinelli, Mattia Turra
We give a novel characterization of the Euclidean quantum field theory with exponential interaction on through a renormalized integration by parts (IbP) formula,…
math.PR2022
A stochastic analysis of subcritical Euclidean fermionic field theories
Francesco C. De Vecchi, Luca Fresta, Massimiliano Gubinelli
Building on previous work on the stochastic analysis for Grassmann random variables, we introduce a forward-backward stochastic differential equation (FBSDE) which provides a stoch…