Quasi regular Dirichlet forms and the stochastic quantization problem

DOI10.1142/9789814596534_0003zbMath1336.31022arXiv1404.2757OpenAlexW2423090219MaRDI QIDQ2800230

Zhi-Ming Ma, Michael Roeckner, Sergio A. Albeverio

Publication date: 15 April 2016

Published in: Festschrift Masatoshi Fukushima (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.2757

zbMATH Keywords

Dirichlet formsstochastic quantization equations

Mathematics Subject Classification ID

Dirichlet forms (31C25) Stochastic processes (60G99)

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Along Paths Inspired by Ludwig Streit: Stochastic Equations for Quantum Fields and Related Systems ⋮ New Hilbert space tools for analysis of graph Laplacians and Markov processes ⋮ 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 ⋮ Non-local Markovian symmetric forms on infinite dimensional spaces. II: Applications: non local stochastic quantization of space cut-off quantum fields and infinite particle systems ⋮ Energy forms and quantum dynamics ⋮ Non-local Markovian symmetric forms on infinite dimensional spaces. I: The closability and quasi-regularity ⋮ Stochastic quantization associated with the \(\exp(\Phi)_2\)-quantum field model driven by space-time white noise on the torus ⋮ Continuum versus discrete networks, graph Laplacians, and reproducing kernel Hilbert spaces ⋮ Markov uniqueness and Fokker-Planck-Kolmogorov equations

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