Wetterich's equation for regularised QFTs and general probability measures

by Dr Jobst Ziebell (University of Jena)

Friday 16 May 2025, 14:00 → 15:00 Europe/Budapest

In quantum field theory Wetterich's equation is obtained through a slightly modified Legendre transform of Polchinski's equation. It formally satisfies an infinite-dimensional partial differential equation with the classical action as boundary condition. In a suitable regularisation scheme, the equation and its boundary condition can be derived in a mathematically rigorous manner. Wetterich's equation can naturally be extended to some class of probability measures on locally convex spaces as well. I will discuss the ideas and some persisting challenges in this general setting.

presentation.pdf