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2018 Dirichlet form associated with the $\Phi _3^4$ model
Rongchan Zhu, Xiangchan Zhu
Electron. J. Probab. 23: 1-31 (2018). DOI: 10.1214/18-EJP207

Abstract

We construct the Dirichlet form associated with the dynamical $\Phi ^4_3$ 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 $\Phi ^4_3$ field measure as an invariant (even symmetrizing) measure.

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Rongchan Zhu. Xiangchan Zhu. "Dirichlet form associated with the $\Phi _3^4$ model." Electron. J. Probab. 23 1 - 31, 2018. https://doi.org/10.1214/18-EJP207

Information

Received: 1 July 2017; Accepted: 26 July 2018; Published: 2018
First available in Project Euclid: 12 September 2018

MathSciNet: MR3858906
Digital Object Identifier: 10.1214/18-EJP207

Subjects:
Primary: 60H15, 82C28

JOURNAL ARTICLE
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