Paracontrolled Distributions and the 3-dimensional Stochastic Quantization Equation

26 Jul 2016  ·  Catellier Rémi, Chouk Khalil ·

We prove the existence and uniqueness of a local solution to the periodic renormalized $\Phi^4_3$ 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)..

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Probability Mathematical Physics Mathematical Physics