Renormalized vacuum polarization for finite range potentials

This report presents computed vacuum polarization effects for leptons in a spherical potential well of radius large compared with the lepton Compton wavelength. These results, together with those previously obtained for small radius wells, show that the total charge generated is independent of well radius and lepton mass; thus the quadratic divergence obtained for the total unrenormalized charge can be removed by the subtraction of the contribution computed for a lepton of mass M(→ infinity) as in the case of the Coulomb potential. Various other problems arising from the earlier study are clarified by the present results. (author)