Geodesic
Field asymptotic behavior of a~polarization operator
Teoretičeskaâ i matematičeskaâ fizika, Tome 53 (1982) no. 3, pp. 469-473

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In the framework of the previously developed two-dimensional approximation of quantum electrodynamics the field asymptotic behavior of the photon polarization operator in a superstrong magnetic field is analyzed. It is shown that in the region $10^3\lesssim(B/B_0)\lesssim10^4$, $B_0=m^2/e$, transition to $a$ superstrong field in the individual orders of perturbation theory with subsequent summation over leads to a nonsingular expression for the photon propagator, i.e. , there is no “zero-charge” problem. 
@article{TMF_1982_53_3_a12,
     author = {Yu. M. Loskutov and B. A. Lysov and V. V. Skobelev},
     title = {Field asymptotic behavior of a~polarization operator},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {469--473},
     publisher = {mathdoc},
     volume = {53},
     number = {3},
     year = {1982},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1982_53_3_a12/}
}
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Yu. M. Loskutov; B. A. Lysov; V. V. Skobelev. Field asymptotic behavior of a~polarization operator. Teoretičeskaâ i matematičeskaâ fizika, Tome 53 (1982) no. 3, pp. 469-473. http://geodesic.mathdoc.fr/item/TMF_1982_53_3_a12/