https://doi.org/10.1140/epjc/s10052-018-5517-6
Regular Article - Theoretical Physics
Interaction between two point-like charges in nonlinear electrostatics
1
P. N. Lebedev Physical Institute, Leninsky Prospect 53, Moscow, 119991, Russia
2
Tomsk State University, Lenin Prospekt 36, Tomsk, 634050, Russia
3
Tomsk Polytechnic University, Lenin Prospekt 30, Tomsk, 634034, Russia
* e-mail: breev@mail.tsu.ru
Received:
16
September
2017
Accepted:
29
December
2017
Published online:
17
January
2018
We consider two point-like charges in electrostatic interaction within the framework of a nonlinear model, associated with QED, that provides finiteness of their field energy. We find the common field of the two charges in a dipole-like approximation, where the separation between them R is much smaller than the observation distance r : with the linear accuracy with respect to the ratio R / r, and in the opposite approximation, where 
up to the term quadratic in the ratio r / R. The consideration proposes the law 
for the energy, when the charges are close to one another, 
. This leads to the singularity of the force between them to be 
, which is weaker than the Coulomb law, 
.
© The Author(s), 2018
