Geodesic
Asymptotic series in quantum-field asymptotics
Teoretičeskaâ i matematičeskaâ fizika, Tome 40 (1979) no. 3, pp. 340-347 Cet article a éte moissonné depuis la source Math-Net.Ru

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After a brief history of investigations into the determination of asymptotic behaviors in quantum field theory, the present state of the art is reviewed. The part played by asymptotic series in renormalization-group analysis of asymptotic behaviors is discussed, and a detailed analysis is made of the problem of reconstructing the function $\beta(g)$ from the first terms of the expansion in a power series in $g$ known from perturbation theory and the limiting expression for the coefficients of the asymptotic series at large $k$, where $k$ is the number of a term of the series, which can be obtained by the functional saddle point method. It is shown that information about the behavior at large $g$ is needed for reliable reconstruction of the sum. 
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     title = {Asymptotic series in quantum-field asymptotics},
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}
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D. V. Shirkov. Asymptotic series in quantum-field asymptotics. Teoretičeskaâ i matematičeskaâ fizika, Tome 40 (1979) no. 3, pp. 340-347. http://geodesic.mathdoc.fr/item/TMF_1979_40_3_a2/

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