Stochastic quantization associated with the \(\exp(\Phi)_2\)-quantum field model driven by space-time white noise on the torus
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Publication:2021708
DOI10.1007/s00028-020-00583-0zbMath1467.35269arXiv1907.07921OpenAlexW3033241504MaRDI QIDQ2021708
Masato Hoshino, Seiichiro Kusuoka, Hiroshi Kawabi
Publication date: 27 April 2021
Published in: Journal of Evolution Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.07921
Model quantum field theories (81T10) White noise theory (60H40) PDEs in connection with quantum mechanics (35Q40) PDEs with randomness, stochastic partial differential equations (35R60) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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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 ⋮ Metric growth dynamics in Liouville quantum gravity ⋮ On the variational method for Euclidean quantum fields in infinite volume ⋮ Stochastic quantization associated with the \(\exp (\boldsymbol{\Phi})_2\)-quantum field model driven by space-time white noise on the torus in the full \(L^1\)-regime ⋮ Strong uniqueness for Dirichlet operators related to stochastic quantization under exponential/trigonometric interactions on the two-dimensional torus ⋮ Invariant Gibbs dynamics for the dynamical sine-Gordon model ⋮ On the parabolic and hyperbolic Liouville equations ⋮ The elliptic stochastic quantization of some two dimensional Euclidean QFTs
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