The University of Arizona: The 4D Anderson model – a case study for critical SPDEs
We study the weakly coupled elliptic Anderson model with spatial white noise on the 4D torus, which provides a basic example of a critical SPDE requiring renormalization at arbitrarily high orders. With sufficiently small coupling, we prove that the Green's function of the corresponding random Schrödinger operator, suitably centered and rescaled, converges to a centered...