A mathematical interpretation of the Feynman path integral equivalent to the formalism of Green functions
classification
🧮 math-ph
hep-thmath.FAmath.MP
keywords
notiondistributionequivalentfeynmanfunctionsgreenintegralpath
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We define the notion of distribution on an infinite dimensional space motivated by the notion of Feynman path integral and by construction of probability measures for generalized random fields. This notion of distribution turns out to be mathematically equivalent to the notion of generating functional of Green functions.
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