Covariant SPDEs and Quantum Field Structures

Details Covariant SPDEs and Quantum Field Structures Covariant SPDEs and Quantum Field Structures

1996-07-04

arxiv.org/abs/funct-an/9607001v1

Physics

Mathematical Physics

33 pages, Latex

Scientific paper

Covariant stochastic partial differential equations are studied in any dimension. A special class of such equations is selected and it is proven that the solutions can be analytically continued to Minkowski space-time yielding tempered Wightman distributions which are covariant, obey the locality axiom and a weak form of the spectral axiom. Key words: stochastic partial differential equations, white noise, covariant Markov generalized random fields, Euclidean QFT, Schwinger functions, Wightman distributions

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