Essential self-adjointness of Dirichlet operators on a path space with Gibbs measures via an SPDE approach

DOI10.1016/j.jfa.2006.06.017zbMath1111.47064OpenAlexW2049555706MaRDI QIDQ859661

Hiroshi Kawabi, Michael Roeckner

Publication date: 16 January 2007

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2324/11864

zbMATH Keywords

path spaceGibbs measureessential self-adjointnessDirichlet operatorsSPDE\(p(\phi)_{1}\)-quantum fields

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Linear symmetric and selfadjoint operators (unbounded) (47B25) Probabilistic potential theory (60J45) Path integrals in quantum mechanics (81S40) Constructive quantum field theory (81T08) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Stochastic quantization (81S20)

Related Items (4)

Along Paths Inspired by Ludwig Streit: Stochastic Equations for Quantum Fields and Related Systems ⋮ Restricted Markov uniqueness for the stochastic quantization of \(P(\Phi)_{2}\) and its applications ⋮ Strong uniqueness for Dirichlet operators related to stochastic quantization under exponential/trigonometric interactions on the two-dimensional torus ⋮ Strong uniqueness for both Dirichlet operators and stochastic dynamics to Gibbs measures on a path space with exponential interactions

Cites Work

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