Weak Universality of the Dynamical Phi(4)(3) Model on the Whole Space

We prove that the large scale behavior of a class of stochastic weakly nonlinear reactiondiffusion models on R-3 converges to the dynamical Phi(4)(3) model using paracontrolled distributions on weighted Besov spaces. Our approach depends on the delicate choice of the weight, the localization operator technique and a modified version of the maximum principle from Gubinelli and Hofmanova (Commun. Math. Phys. 368, 1201-1266, 2019).