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arXiv · 1811.05018

Coulomb's law modification driven by a logarithmic electrodynamics

Patricio Gaete·José A. Helayël-Neto·L. P. R. Ospedal
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Abstract

We examine physical aspects for the electric version of a recently proposed logarithmic electrodynamics, for which the electric field of a point-like charge is finite at the origin. It is shown that this electrodynamics displays the vacuum birefringence phenomenon in the presence of external magnetic field. Afterwards we compute the lowest-order modification to the interaction energy by means of the gauge-invariant but path-dependent variables formalism. These are shown to result in a long-range ($1/r^3$-type) correction, in addition to a linear and another logarithmic correction, to the Coulomb potential.

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Patricio Gaete, José A. Helayël-Neto, L. P. R. Ospedal. 2018-11-07. Coulomb's law modification driven by a logarithmic electrodynamics. https://doi.org/10.1209/0295-5075/125/51001

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