4D LOCAL QUANTUM FIELD THEORY MODELS FROM COVARIANT STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS I: GENERALITIES

DOI10.1142/S0129055X01000685zbMath1029.81046MaRDI QIDQ4418286

Roman Gielerak, Piotr Ługiewicz

Publication date: 7 August 2003

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

zbMATH Keywords

Minkowski space-timeWightman axiomsEuclidean space-timeanalytic continuation of the moments

Mathematics Subject Classification ID

Model quantum field theories (81T10) PDEs in connection with quantum mechanics (35Q40) Axiomatic quantum field theory; operator algebras (81T05) Constructive quantum field theory (81T08) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Related Items (3)

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Cites Work

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• CONVOLUTED GENERALIZED WHITE NOISE, SCHWINGER FUNCTIONS AND THEIR ANALYTIC CONTINUATION TO WIGHTMAN FUNCTIONS
• Euclidean random fields obtained by convolution from generalized white noise
• Covariant SPDEs and quantum field structures
• On the Poisson integrals representation in the classical statistical mechanics of continuous systems

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