Speaker: Mohammad Latifi-Jebelli, Dartmouth College

Date: February 15, 2024

Abstract: In my second talk, I am planning to give an introduction to measure theory in infinite dimensions and review the rigorous constructions of quantum field theories. The infinite-dimensional Gaussian measures play a pivotal role, and they are defined based on finite-dimensional Gaussian projections. It turns out that the representation of infinite-dimensional measures using a density function is problematic, but one can incorporate Fourier domain to establish a rigorous foundation.