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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019 Number 4, Pages 46–50 (Mi vmumm641)

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Asymptotics of Feynman integrals in the one-dimensional case

T. Yu. Semenova

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: The asymptotics of the Feynman integrals of the form $\mathcal{F}(t)=\int\limits_{0}^{+\infty}(P(x,t))^{-\lambda}dx$ is studied for $t\rightarrow +0$. 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.

Key words: Feynman integrals, asymptotic expansion with respect to a parameter.

UDC: 517

Received: 24.09.2018



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