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Invariant measure and flow associated to the Phi4-quantum field model on the three-dimensional torus

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SRQW02 - Quantum field theory, renormalisation and stochastic partial differential equations

We consider the invariant measure and flow of the Phi4-model on the three-dimensional torus, which appears in the quantum field theory. By virtue of Hairer's breakthrough, such a nonlinear stochastic partial differential equation became solvable and is studied as a hot topic. In the talk, we apply the paracontrolled calculus and directly construct the global solution and the invariant measure by using the invariant measures of approximation equations and showing the tightness of associated processes. This is a joint work with Sergio Albeverio.

This talk is part of the Isaac Newton Institute Seminar Series series.

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