A mathematical interpretation of the Feynman path integral equivalent to the formalism of Green functions

2008/08/11 by A. V. Stoyanovsky, Stoyanovsky, A. V.
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Earth Systems and Cosmic Evolution #hep-th #math-ph #math.FA #math.MP

paper · pdf · doi:10.48550/arxiv.0808.1511

6 pages

arxiv created 2008/08/11 · arxiv updated 2009/12/01

Abstract

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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