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Covariant SPDEs and Quantum Field Structures

C. Becker·R. Gielerak·P. Ługiewicz
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Abstract

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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C. Becker, R. Gielerak, P. Ługiewicz. 1996-07-04. Covariant SPDEs and Quantum Field Structures. https://arxiv.org/abs/funct-an/9607001

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