Abstract
The asymptotics of the Feynman integrals of the form \({\cal F}(t) = \int\limits_0^{+ \infty} {{{(P(x,t))}^{- \lambda}}dx}\) is studied for t → +0. The first term of the asymptotics is calculated in the general case and a method for obtaining a complete asymptotic expansion in the case of one essential face is presented.
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References
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Acknowledgments
The work was supported by the Russian Foundation for Basic Research (project no. 17-02-00175-a).
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Russian Text © The Author(s). 2019. published in Vestnik Moskovskogo Universiteta. Matematika. Mekhanika. 2019. Vol. 74, No. 4, pp. 46–50.
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Semenova, T.Y. Asymptotics of Feynman Integrals in One-Dimensional Case. Moscow Univ. Math. Bull. 74, 163–166 (2019). https://doi.org/10.3103/S0027132219040053
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DOI: https://doi.org/10.3103/S0027132219040053