Dirichlet form associated with the $\Phi _3^4$ model

@article{Zhu2017DirichletFA,
title={Dirichlet form associated with the \$\Phi \_3^4\$ model},
author={Rongchan Zhu and Xiangchan Zhu},
journal={Electronic Journal of Probability},
year={2017},
volume={23}
}
• Published 29 March 2017
• Mathematics
• Electronic Journal of Probability
We construct the Dirichlet form associated with the dynamical $\Phi^4_3$ model obtained in [Hai14, CC13] and [MW16]. 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 $\Phi^4_3$ field measure as an invariant (even…
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