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

    研究成果: ジャーナルへの寄稿学術誌査読

    7 被引用数 (Scopus)

    抄録

    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.

    本文言語英語
    ページ(範囲)339-375
    ページ数37
    ジャーナルJournal of Evolution Equations
    21
    1
    DOI
    出版ステータス出版済み - 3月 2021

    !!!All Science Journal Classification (ASJC) codes

    • 数学(その他)

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