Abstract
A solution of Maxwell's equations is constructed that describes a homogeneous electromagnetic field in a curved space-time in the lowest adiabatic approximation in the curvature. The Green's function for Dirac particles in this field is constructed to the same accuracy. It is shown that in the case of a super strong magnetic field the main approximation is the two-dimensional approximation, moreover, the gravitational correction is determined by a single component of the curvature tensor R1230. The mass operator of the electron is calculated in this approximation.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 32–38, February, 1986.
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Gal'tsov, D.V., Skobelev, V.V. & Éfendiev, M.S. Adiabatic expansions of green's functions in electromagnetic and gravitational fields. Radiative corrections. Soviet Physics Journal 29, 109–113 (1986). https://doi.org/10.1007/BF00896344
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DOI: https://doi.org/10.1007/BF00896344