Universal corrections to reaction-diffusion dynamics above the upper critical dimension

Reaction-diffusion models are common in many areas of statistical physics, where they describe the universal late-time dynamics of chemical reactions. In this talk, I will discuss how a Bose gas representation, which maps the real-time dynamics of the reactants to the imaginary-time evolution of an interacting Bose gas, can be used to determine corrections to the late-time scaling above the upper critical dimension, where mean-field theory sets the leading order. I will show that the leading corrections are not given by a small renormalization of the reaction rate due to memory effects, but instead set by higher-order correlation functions that capture memory effects of sub-clusters of reactants. Drawing on methods developed for ultracold quantum gases and nuclear physics, these corrections can be computed exactly for various $k$-particle annihilation processes $k A \to \emptyset$ with $k>2$.