paper

Renormalization of singular elliptic stochastic PDEs using flow equation

arXiv:2201.05031 · doi:10.2140/pmp.2025.6.111

Abstract

We develop a solution theory for singular elliptic stochastic PDEs with fractional Laplacian, additive white noise and cubic non-linearity. The method covers the whole sub-critical regime. It is based on the Wilsonian renormalization group theory and the Polchinski flow equation.

36 pages, paper uses the method developed in arXiv:2109.11380, v2: typos corrected, v3: minor changes to match the published version

Renormalization of singular elliptic stochastic PDEs using flow equation · wovepaper