Universal charge distribution and nonlocal quantum electrodynamics

It is assumed that the electric charge of pointlike objects carries a nonlocality defined by a fundamental length and has a distribution over space. From physical requirements a unique form of charge distribution is found that in turn gives rise to a change in the Coulomb law at short distances and leads to a modification of the photon propagator. A nonlocal gauge transformation connected with extended charge is presented, which allows us to construct gauge-invariant nonlocal quantum electrodynamics free of ultraviolet divergences