Uehling potential


In quantum electrodynamics, the Uehling potential describes the interaction potential between
two electric charges which, in addition to the classical Coulomb potential, contains an extra term responsible for the electric polarization of the vacuum. This potential was found by Uehling in 1935.
The Uehling potential is given by
from where it is apparent that this potential is indeed a refinement of the classical Coulomb potential. Here is the electron mass, is its charge measured at large distances. If, this potential simplifies to
while for we have
where is the Euler–Mascheroni constant.

Properties

It was recently demonstrated that the above integral in the expression of can be evaluated in closed form by using the and its successive integrals.