DIRICHLET FORMS IN TERMS OF WHITE NOISE ANALYSIS I: CONSTRUCTION AND QFT EXAMPLES

DOI10.1142/S0129055X89000134zbMath0708.60099MaRDI QIDQ3490744

Takeyuki Hida, Ludwig Streit, Sergio A. Albeverio, Juergen Potthoff, Michael Roeckner

Publication date: 1989

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Dirichlet formsRandom fieldsgeneralized functionals of white noisequantum field theory models

Mathematics Subject Classification ID

Model quantum field theories (81T10) Other physical applications of random processes (60K40)

Related Items (15)

Along Paths Inspired by Ludwig Streit: Stochastic Equations for Quantum Fields and Related Systems ⋮ A class of Lévy driven SDEs and their explicit invariant measures ⋮ The Feynman integrand as a Hida distribution ⋮ Spectral approach to white noise analysis ⋮ 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 ⋮ On the contraction property of energy forms on infinite-dimensional space ⋮ Construction of convergent simplicial approximations of quantum fields on Riemannian manifolds ⋮ A characterization of Hida distributions ⋮ Construction of a general class of Dirichlet forms in terms of white noise analysis ⋮ Non-local Markovian symmetric forms on infinite dimensional spaces. I: The closability and quasi-regularity ⋮ An approximate criterium of essential self-adjointness of Dirichlet operators ⋮ Mittag-Leffler analysis. I: Construction and characterization ⋮ The elliptic stochastic quantization of some two dimensional Euclidean QFTs

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