Abstract
In the one-dimensional case, an asymptotic expansion with respect to the parameter for the Feynman integral in the Lee—Pomeransky representation, is obtained. The previously stated conjecture on how to obtain asymptotic series is proved, and the form of the terms of the series and the relationship of the series with Newton’s polyhedron of the polynomial participating in the integrand are determined.
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The research was supported by Russian Foundation for Basic Research (grant no. 17-02-00175).
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Semenova, T.Y. Asymptotic Series for a Feynman Integral in the One-Dimensional Case. Russ. J. Math. Phys. 27, 126–136 (2020). https://doi.org/10.1134/S1061920820010124
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DOI: https://doi.org/10.1134/S1061920820010124