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Does there exist a rigorous mathematical proof for path integral representations given in the physics literature? See for example http://arxiv.org/abs/hep-ph/9912209v1

For imaginary time rigorous mathematical proof for path integral representations given in classical paper by Edward Nelson

"Feynman Integrals and the Schrödinger Equation" Edward Nelson Citation: J. Math. Phys. 5, 332 (1964); doi: 10.1063/1.1704124 View online: http://dx.doi.org/10.1063/1.1704124

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Unlike Euclidean path integral which can be based on the Wiener measure, there is no mathematically rigorous foundation for the Feynman path integral. For various attempts in this direction see http://www.scholarpedia.org/article/Path_integral:_mathematical_aspects and http://ncatlab.org/nlab/show/path+integral

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  • $\begingroup$ Yes. But I have asked about Feynman path integral, given withot any reference to a Wiener measure. $\endgroup$
    – bob
    Commented Sep 21, 2013 at 19:24

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