Interaction between two point-like charges in nonlinear electrostatics
Abstract 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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-01-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-018-5517-6 |
| Summary: | Abstract 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 $$R\gg r,$$ R≫r, up to the term quadratic in the ratio r / R. The consideration proposes the law $$a+b R^{1/3}$$ a+bR1/3 for the energy, when the charges are close to one another, $$R\rightarrow 0$$ R→0 . This leads to the singularity of the force between them to be $$R^{-2/3}$$ R-2/3 , which is weaker than the Coulomb law, $$R^{-2}$$ R-2 . |
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| ISSN: | 1434-6044 1434-6052 |