Stochastic quantization associated with the exp (Φ) 2 -quantum field model driven by space-time white noise on the torus

Masato Hoshino, Hiroshi Kawabi, Seiichiro Kusuoka

    Research output: Contribution to journalArticlepeer-review

    7 Citations (Scopus)

    Abstract

    We consider a quantum field model with exponential interactions on the two-dimensional torus, which is called the exp (Φ) 2-quantum field model or Høegh-Krohn’s model. In the present paper, we study the stochastic quantization of this model by singular stochastic partial differential equations, which is recently developed. By the method, we construct a unique time-global solution and the invariant probability measure of the corresponding stochastic quantization equation and identify it with an infinite-dimensional diffusion process, which has been constructed by the Dirichlet form approach.

    Original languageEnglish
    Pages (from-to)339-375
    Number of pages37
    JournalJournal of Evolution Equations
    Volume21
    Issue number1
    DOIs
    Publication statusPublished - Mar 2021

    All Science Journal Classification (ASJC) codes

    • Mathematics (miscellaneous)

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