Structure of radiative corrections in a strong constant crossed field in the bubble-chain approximation

Understand

We present a calculation of the electron mass operator combining the bubble-chain photon and the leading order electron propagators in a strong constant crossed electromagnetic field.

• The photon propagator is obtained by a summation of the Dyson series over 1PI polarization loop insertions and is accounted for in general form.
• By applying the derived mass operator, we find the bubble-chain electron propagator and the elastic scattering amplitude.
• The results are expressed in the general form of expansion over $\gamma$-matrix structures, each multiplied by a scalar invariant function of the electron virtuality and the quantum dynamical parameter $\chi$.