We show global well-posedness of the dynamic φ4 model in the plane. The model is a nonlinear stochastic PDE that can only be interpreted in a "renormalised" sense. Solutions take values in suitable weighted Besov spaces of negative regularity.
- Nonlinear stochastic PDE
- Quantum field theory
- Stochastic quantisation equation
- Weighted Besov space
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty