Stochastic quantization equations

Stochastic quantization equations are evolutionary PDEs driven by space-time white noises. They are proposed by physicists in the 80s as the natural dynamics associated to the (Euclidean) quantum field theories. We will discuss the recent progress on well-posedness problems of such equations. The examples include the Phi4 model, the sine-Gordon model, and perhaps models with gauge symmetries if time allowed.