Interaction between two point-like charges in nonlinear electrostatics

A. I. Breev, A. E. Shabad

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    1 Citation (Scopus)


    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≫ r, up to the term quadratic in the ratio r / R. The consideration proposes the law a+ bR1 / 3 for the energy, when the charges are close to one another, R→ 0. This leads to the singularity of the force between them to be R- 2 / 3, which is weaker than the Coulomb law, R- 2.

    Original languageEnglish
    Article number39
    JournalEuropean Physical Journal C
    Issue number1
    Publication statusPublished - 1 Jan 2018

    ASJC Scopus subject areas

    • Engineering (miscellaneous)
    • Physics and Astronomy (miscellaneous)

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