(adsbygoogle = window.adsbygoogle || []).push({}); Definition of Feynmann integral ??

Using the definition of integral as a limit of certain sums...couldn't we define an integral over paths [tex] x(t) [/tex] as the limit whenever 'epsilon' tends to 0 of the Sum:

[tex] \sum _{i} F[x(t)] (L[x(t)+i \delta (t-t')]-L[x(t)+(i-1)\delta (t-t')]) [/tex]

Where F is a functional and [tex] L[x(t)]=\int_{a}^{b}dtx(t) [/tex]

Or something like that..in the sense that Riemann Path integrals are just the limit of a Riemann sum over an space of paths X(t)

Or in terms of 'hyperreal' function so [tex] x(t)+i \epsilon \delta (t-t') [/tex]

for i=1,2,3,4,5,6,7,8,9,....... and 'epsilon' is a infinitesimal quantity.

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# Definition of Feynmann integral ?

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