Adiabatic expansions of Green functions in electromagnetic and gravitational fields. Radiative corrections

Solution of the Maxwell equations describing the uniform electromagnetic field in curved space-time is built up in the lowest adiabatic approximation with respect to curvature. Just with the same accuracy the Green function for Dirac particles is built up in this field. It is shown that in the case of superhigh magnetic field the two-dimentional approximation is the basic one, and gravitational correction is determined by the single component of the curvature tensor R1230. The mass electron operator is calculated in this approximation