English

Paracontrolled Distributions and the 3-dimensional Stochastic Quantization Equation

Probability 2016-07-27 v3 Mathematical Physics math.MP

Abstract

We prove the existence and uniqueness of a local solution to the periodic renormalized Φ34\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)

Cite

@article{arxiv.1310.6869,
  title  = {Paracontrolled Distributions and the 3-dimensional Stochastic Quantization Equation},
  author = {Rémi Catellier and Khalil Chouk},
  journal= {arXiv preprint arXiv:1310.6869},
  year   = {2016}
}

Comments

Mostly corrections of language mistakes

R2 v1 2026-06-22T01:54:03.056Z