Speaker: Jobst Ziebell (University of Jena)
Title: Wetterich's equation for regularised QFTs and general probability measures
Date: May 16, 2025, Friday, 2:00 PM
Place: Building 3, Conference room
Abstract:
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.
