Nonperturbative approach to(Wiener) functional integral with $ϕ^4$ interaction
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We propose the another, in principe nonperturbative, method of the evaluation of the Wiener functional integral for $ϕ^4$ 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.
Presented at "Path integrals. From quantum information to cosmology", 8th International conference, Prague, June 6--10, 2005
Presented at "Path integrals. From quantum information to cosmology", 8th International conference, Prague, June 6--10, 2005