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タイトル: | Stochastic quantization associated with the exp(Φ)₂-quantum field model driven by space-time white noise on the torus in the full L¹-regime |
著者: | Hoshino, Masato Kawabi, Hiroshi Kusuoka, Seiichiro |
著者名の別形: | 楠岡, 誠一郎 |
キーワード: | Stochastic quantization Høegh-Krohn model Gaussian multiplicative chaos Singular SPDE Dirichlet form 81S20 60H17 35R60 60J46 81T08 81T40 |
発行日: | Feb-2023 |
出版者: | Springer Nature |
誌名: | Probability Theory and Related Fields |
巻: | 185 |
号: | 1-2 |
開始ページ: | 391 |
終了ページ: | 447 |
抄録: | The present paper is a continuation of our previous work (Hoshino et al., J Evol Equ 21:339–375, 2021) on the stochastic quantization of the exp(Φ)₂-quantum field model on the two-dimensional torus. Making use of key properties of Gaussian multiplicative chaos and refining the method for singular SPDEs introduced in the previous work, we construct a unique time-global solution to the corresponding parabolic stochastic quantization equation in the full “L¹-regime” |α|<√8π of the charge parameter α. We also identify the solution with an infinite-dimensional diffusion process constructed by the Dirichlet form approach. |
著作権等: | © The Author(s) 2022 This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. |
URI: | http://hdl.handle.net/2433/278769 |
DOI(出版社版): | 10.1007/s00440-022-01126-z |
出現コレクション: | 学術雑誌掲載論文等 |
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