Spectral gap for the infinite-volume Phi^4_3 measure at high temperature
ABSTRACT
We consider the natural (Langevin) dynamic for the Phi^4_3 measure in infinite volume. It is shown that, at high enough temperature, this dynamic is exponentially ergodic and obeys a 'one force, one solution' principle. This provides a particularly strong form of uniqueness and stability for the corresponding invariant measure. Some consequences are rotation invariance and exponential decay of correlations for the Phi^4_3 measure. This is joint work with Pawel Duch, Jaeyun Yi, and Wenhao Zhao.
