Nguyen Viet Dang Institut Mathématique de Jussieu

The Φ⁴₃ measure on Riemannian manifolds

Abstract:

I will describe a joint work with Bailleul, Ferdinand and To where we construct the Φ⁴₃ 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.