| Issue |
EPL
Volume 122, Number 3, May 2018
|
|
|---|---|---|
| Article Number | 31002 | |
| Number of page(s) | 6 | |
| Section | The Physics of Elementary Particles and Fields | |
| DOI | https://doi.org/10.1209/0295-5075/122/31002 | |
| Published online | 22 June 2018 | |
The point-charge self-energy in a nonminimal Lorentz-violating Maxwell electrodynamics
1 UNESP, Campus de Guaratinguetá, DFQ - Avenida Dr. Ariberto Pereira da Cunha 333, CEP 12516-410, Guaratinguetá, SP, Brazil
2 IFQ, Universidade Federal de Itajubá - Av. BPS 1303, Pinheirinho, Caixa Postal 50, 37500-903, Itajubá, MG, Brazil
3 Universidade Federal do ABC, UFABC - Avenida dos Estados, 5001, Santo André, SP, 09210-580, Brazil
4 Indiana University Center for Spacetime Symmetries, Indiana University - Bloomington, IN, 47405-7105, USA
Received: 23 March 2018
Accepted: 1 June 2018
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 
-dimensional space time. We consider two variations of a model where the Lorentz violation is caused by a background vector 
that appears in a higher derivative interaction. We restrict our attention to the case where 
is a time-like background vector, namely 
, 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.
PACS: 11.10.-z – Field theory / 03.50.-z – Classical field theories / 11.15.-q – Gauge field theories
© EPLA, 2018
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