Geodesic
Method of summing the perturbation series in scalar theories
Teoretičeskaâ i matematičeskaâ fizika, Tome 18 (1974) no. 2, pp. 181-189 
A. G. Basuev; A. N. Vasil'ev. Method of summing the perturbation series in scalar theories. Teoretičeskaâ i matematičeskaâ fizika, Tome 18 (1974) no. 2, pp. 181-189. http://geodesic.mathdoc.fr/item/TMF_1974_18_2_a3/
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     author = {A. G. Basuev and A. N. Vasil'ev},
     title = {Method of summing the perturbation series in scalar theories},
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     volume = {18},
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     language = {ru},
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}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Taking as an example connected vacuum loops of the theory $-\lambda\varphi^4$, we consider a method of summing the perturbation series in which the number of graphs is allowed for exactly and the departure of the mean value of a graph from a purely power law is simulated by the substitution $\lambda\to\lambda e^{it}$ heit and subsequent averaging over $t$ with a weight $f(t)$ (the function $f$ remains unknown). The resulting expression is analytic in some sector, including the half-axis $\lambda>0$. At the point $\lambda=0$ there is an essential singularity generated by the concentric cuts that accumulate at the point $\lambda=0$ (the cuts are not included in the analyticity sector).

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