Resummation of QED radiative corrections in a strong constant crossed field

Understand

By considering radiative corrections of up to 3rd-loop order, Ritus and Narozhny conjectured that the proper expansion parameter for QED in a strong constant crossed field is $g=\alpha\chi^{2/3}$, where the dynamical quantum parameter $\chi=e\sqrt{-(Fp)^2}/m^3$ combines the particle momentum $p$ with the external field strength tensor $F$.

• Here we present and discuss the first non-perturbative result in this context, the resummed bubble-type polarization corrections to the electron self-energy in a constant crossed field.
• Our analysis confirms the relevance of the scaling parameter $g$ to the enhancement of bubble-type radiative corrections.
• This parameter actually represents the characteristic value of the ratio of the 1-loop polarization bubble to the photon virtuality.