The Phi43 measure on Riemannian manifolds

Abstract: I will describe a joint work with Bailleul, Ferdinand and To where we construct the $\phi^4_3$ quantum field theory measure on compact Riemannian 3-manifolds, as invariant measure of some stochastic partial differential equation, I will try to motivate the approach and show many examples. This gives an example of nonperturbative, interacting, non topological quantum field theory constructed on 3 manifolds.

mathematical physics

Audience: researchers in the discipline

One world IAMP mathematical physics seminar

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