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arXiv · 1907.04735

The point-charge self-energy in a nonminimal Lorentz violating Maxwell Electrodynamics

L. H. C. Borges·F. A. Barone·A. F. Ferrari
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Abstract

In this letter we study the self-energy of a point-like charge for the electromagnetic field in a non minimal Lorentz symmetry breaking scenario in a $n+1$ dimensional space time. We consider two variations of a model where the Lorentz violation is caused by a background vector $d^{\nu}$ that appears in a higher derivative interaction. We restrict our attention to the case where $d^{\mu}$ is a time-like background vector, namely $d^{2}=d^{\mu}d_{\mu}>0$, and we verify that the classical self-energy is finite for any odd spatial dimension $n$ and diverges for even $n$. We also make some comments regarding obstacles in the quantization of the proposed model.

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L. H. C. Borges, F. A. Barone, A. F. Ferrari. 2019-07-10. The point-charge self-energy in a nonminimal Lorentz violating Maxwell Electrodynamics. https://doi.org/10.1209/0295-5075/122/31002

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