Martin Hairer: The role of symmetry in renormalisation

Conference talk at "Stochastic Analysis meets QFT - critical theory", 12-14 June 2023, in Münster, Germany
Abstract: There are several interesting situations where the solutions to singular SPDEs exhibit a symmetry at a formal level that could in principle be broken by the renormalisation procedure required to define them. We’ll discuss a relatively simple argument showing that, in many cases, the renormalisation can be chosen in such a way that the symmetry does indeed hold and we’ll apply it to the stochastic quantisation of the 3D Yang-Mills theory.
More information on the conference: www.uni-muenst...