The invariant measure and the flow associated to the $\Phi^4_3$-quantum field model
The invariant measure and the flow associated to the $\Phi^4_3$-quantum field model
We give a direct construction of invariant measures and global flows for the stochastic quantization equation to the quantum field theoretical $\Phi ^4_3$-model on the $3$-dimensional torus. This stochastic equation belongs to a class of singular stochastic partial differential equations (SPDEs) presently intensively studied, especially after Hairer's groundbreaking work on …