Radiative Correction to Eikonal Functions in Electrodynamics

Abstract

We show that the second-order radiative correction changes the electron eikonal function into $[1+F(k^2\left)\right]\times [1+F^{\prime }(k^2\left)\right]E\left(k^2\right)$, where $E\left(k^2\right)$ is the bare eikonal, $k$ is the momentum transfer between the electrons ($e$ and $e^{\prime }$), and $F\left(k^2\right)$ is the second-order electric form factor. This suggests that in high-energy near-forward electrodynamic processes, the eikonals should be regarded as the basic carriers of the interaction.