The~Lamb shift and nonlinear electrodynamics
Teoretičeskaâ i matematičeskaâ fizika, Tome 1 (1969) no. 2, pp. 238-241

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The author shows that the discrepancy between theory and experiment in the Lamb shift can be attributed to nonlinearity in the equations of electrodynamics, with a characteristic length of $l_0\simeq10^{-14}$ cm.
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     author = {B. A. Arbuzov},
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B. A. Arbuzov. The~Lamb shift and nonlinear electrodynamics. Teoretičeskaâ i matematičeskaâ fizika, Tome 1 (1969) no. 2, pp. 238-241. http://geodesic.mathdoc.fr/item/TMF_1969_1_2_a6/