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

Autor: Hoshino, Masato, Kawabi, Hiroshi, Kusuoka, Seiichiro
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Probability Theory and Related Fields. 185(1-2):391-447
ISSN: 0178-8051
Popis: 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
Databáze: OpenAIRE
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