Facets of stochastic quantisation

Massimiliano Gubinelli

This minicourse is about the stochastic analysis of the kind of random fields which arise in the context of Euclidean quantum field theory. Technically the analysis can be realised in various ways, some of them usually called stochastic quantisation. I will concentrate on these methods and explain in which ways they give a new perspective on old problems and also what kind of results we are able to obtain and what are the open problems.