Vacuum polarization at intermediate distances

[ftr]

using the references below, the effective charge and the potentials are derived for either r >> 1/m or r << 1/m, so what happens between these two distances. Thanks

https://en.wikipedia.org/wiki/Vacuum_polarization

https://en.wikipedia.org/wiki/Uehling_potential

http://isites.harvard.edu/fs/docs/icb.topic473482.files/16-vacuumpol.pdf

 

[Jilang]

The first equation in your second reference seems to be general.

 

[ftr]

The first equation in your second reference seems to be general.

No. the condition is given in the above paragraph, just bad format.