Tightness of the solutions to approximating equations of the stochastic quantization equation associated with the weighted exponential quantum field model on the two-dimensional torus

DOI10.2969/aspm/08710341zbMath1491.35360OpenAlexW4290667756MaRDI QIDQ2119921

Masato Hoshino, Seiichiro Kusuoka, Hiroshi Kawabi

Publication date: 30 March 2022

Full work available at URL: https://doi.org/10.2969/aspm/08710341

zbMATH Keywords

stochastic quantizationsingular SPDEquantum fields theoryHøegh-Krohn model

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Stochastic quantization (81S20) Fermionic systems in quantum theory (81V74)

Cites Work

• Unnamed Item
• Strong solutions to the stochastic quantization equations.
• Stochastic quantization associated with the \(\exp(\Phi)_2\)-quantum field model driven by space-time white noise on the torus
• The invariant measure and the flow associated to the $\Phi^4_3$-quantum field model

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