Abstract: | KPZ limit for one-dimensional weakly asymmetric Ginzburg-Landau model was studied by Diehl-Gubinelli-Perkowski in a setting of martingale (energy) solution. Our goal is to apply a path-wise approach based on the paracontrolled calculus. For this purpose, we need to establish the (equilibrium) Boltzmann-Gibbs principle of first and second orders in L^p-sense. We rewrite Ito-Tanaka/Kipnis-Varadhan estimate in L^p-form. Then, Littlewood-Paley-Stein inequality plays a role. |