Paracontrolled Distributions and the 3-dimensional Stochastic Quantization Equation

Abstract

We prove the existence and uniqueness of a local solution to the periodic renormalized $\hat{I}{¦}_3^4$ model of stochastic quantisation using the method of controlled distributions introduced recently by Imkeller, Gubinelli and Perkowski ("Paraproducts, rough paths and controlled distributions", arXiv:1210.2684)

Mostly corrections of language mistakes