Nonperturbative approach to(Wiener) functional integral with $φ^4$ interaction

Details Nonperturbative approach to(Wiener) functional integral with $φ^4$ interaction Nonperturbative approach to(Wiener) functional integral with $φ^4$ interaction

2005-07-14

arxiv.org/abs/hep-th/0507129v1

Physics

High Energy Physics

High Energy Physics - Theory

Presented at "Path integrals. From quantum information to cosmology", 8th International conference, Prague, June 6--10, 2005

Scientific paper

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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