Abstract
We construct the Dirichlet form associated with the dynamical Φ4 3 model obtained in [23, 7] and [37]. This Dirichlet form on cylinder functions is identified as a classical gradient bilinear form. As a consequence, this classical gradient bilinear form is closable and then by a well-known result its closure is also a quasi-regular Dirichlet form, which means that there exists another (Markov) diffusion process, which also admits the Φ4 3 field measure as an invariant (even symmetrizing) measure.
Original language | English |
---|---|
Article number | 78 |
Journal | Electronic Journal of Probability |
Volume | 23 |
DOIs | |
Publication status | Published - 2018 |
Keywords
- Dirichlet form
- Paracontrolled distributions
- Regularity structures
- Renormalisation
- Space-time white noise
- Φ model