State spaces and stochastic dynamics for Yang Mills in 2D and 3D

With Ajay Chandra (Imperial)

State spaces and stochastic dynamics for Yang Mills in 2D and 3D

In this talk I will present some recent progress on the construction of quantum gauge theories using ideas from stochastic PDEs. I will especially focus on the construction of appropriate state spaces that allow us to make sense of the ill-posed stochastic quantisation equation for Yang Mills as a Markov process on gauge orbits. This is joint work with Ilya Chevyrev, Martin Hairer, and Hao Shen.

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