Geodesic
Behavior of the mass operator in a superstrong magnetic field: Summation of the perturbation theory diagrams
Teoretičeskaâ i matematičeskaâ fizika, Tome 48 (1981) no. 1, pp. 44-48 
Yu. M. Loskutov; V. V. Skobelev. Behavior of the mass operator in a superstrong magnetic field: Summation of the perturbation theory diagrams. Teoretičeskaâ i matematičeskaâ fizika, Tome 48 (1981) no. 1, pp. 44-48. http://geodesic.mathdoc.fr/item/TMF_1981_48_1_a4/
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     author = {Yu. M. Loskutov and V. V. Skobelev},
     title = {Behavior of the mass operator in a~superstrong magnetic field: {Summation} of the perturbation theory diagrams},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {44--48},
     year = {1981},
     volume = {48},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1981_48_1_a4/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

An expression is obtained for the radiative correction to the electron mass in a superstrong magnetic field in the approximation of large logarithms ($\ln\xi\gg 1$, $\xi=B/B_0$, $B_0=m^2/e=4,41\cdot 10^{13}$ Gs); the correction has the form $m\{\exp((\alpha/4\pi)\ln^2\xi)-1\}$. This result shows that the correction reaches values of the order of the mass only in anomalously large fields $B\sim 10^{15} B_0$.

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