The \Phi^4_3 measure is a probability measure on the space of Schwartz distributions on \R^3. The construction of the measure is one of the main topics in constructive quantum field theory. In this talk I will describe an approach to the construction and analysis of the infinite volume \Phi^4_3 measure via its associated Langevin dynamic. Our main result is the exponential ergodicity of the dynamic at high temperature, which in particular provides a characterization of the infinite volume measure as the dynamic's unique invariant measure. In the same regime, we also establish all Osterwalder–Schrader axioms for the measure, including Euclidean invariance and exponential decay of correlations. This is based on joint work with Paweł Duch, Martin Hairer and Jaeyun Yi.