On the photon Green's function
Teoretičeskaâ i matematičeskaâ fizika, Tome 15 (1973) no. 2, pp. 227-236 Cet article a éte moissonné depuis la source Math-Net.Ru

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An expression is found for the photon Green's function that has the correct analytic properties and is suitable not only in the asymptotic region (see [1]) but also at small momenta. Its difference from the ordinary expression in the region of momenta $q^2\ll m^2\exp(3\pi/\alpha)$ is given by exponentially small terms of order $\exp(-3\pi/\alpha)$.
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     author = {D. A. Kirzhnits and G. Yu. Kryuchkov},
     title = {On the photon {Green's} function},
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D. A. Kirzhnits; G. Yu. Kryuchkov. On the photon Green's function. Teoretičeskaâ i matematičeskaâ fizika, Tome 15 (1973) no. 2, pp. 227-236. http://geodesic.mathdoc.fr/item/TMF_1973_15_2_a5/

[1] D. A. Kirzhnits, G. Yu. Kryuchkov, TMF, 11 (1972), 152

[2] D. A. Kirzhnits, ZhETF, 49 (1965), 1544 | Zbl

[3] S. I. Brodsky, S. D. Drell, Ann. Rev. Nucl. Sci., 20 (1970), 147 | DOI

[4] D. A. Kirzhnits, M. A. Livshits, ZhETF, Pisma, 4 (1966), 68; ЖЭТФ, 52 (1967), 804; М. А. Лившиц, ЯФ, 8 (1968), 1245; Д. А. Киржниц, Проблемы теоретической физики, Сб., посвященный памяти И. Е. Тамма, «Наука», 1972 | MR

[5] D. A. Kirzhnits, Kr. soobsch. po fiz., FIAN, 10 (1970), 10

[6] R. Nyuton, Teoriya rasseyaniya voln i chastits, «Mir», 1969 | MR