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arxiv: hep-th/0507129 · v1 · submitted 2005-07-14 · ✦ hep-th

Nonperturbative approach to(Wiener) functional integral with φ⁴ interaction

classification ✦ hep-th
keywords functionalintegralnonperturbativewieneractionanotherapproachcontinuum
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We propose the another, in principe nonperturbative, method of the evaluation of the Wiener functional integral for $\phi^4$ term in the action. All infinite summations in the results are proven to be convergent. We finf the "generalized" Gelfand -- Yaglom differential equation implying the functional integral in the continuum limit.

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