On a Non~Local Interaction in the Quantum

On replacing the local interaction terms appearing in the equations of motion in the ordinary quantum electrodynamics with non-local interaction ones, it is shown, from the calculation of the second order radiative correction to the current operator, that the self-energy of the electron can be made finite with an appropriate choice of non-local four-dimensional form fact0rs. The observed value of the anomalous magnetic moment may playa role in the determination of the behavior of the four-demensional form factors employed for the non-localization of the interaction between the ele~tromagnetic and electron fields