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

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.

6 pages, published in EPL 122 (2018) 31002

References in corpus (8)

• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• The Lee-Wick Standard Model
• Causality and stability for Lorentz-CPT violating electrodynamics with dimension-5 operators
• Minimal Lee-Wick Extension of the Standard Model
• Field sources in a Lorentz symmetry breaking scenario with a single background vector
• Vacuum energies due to delta-like currents: simulating classical objects along branes with arbitrary codimensions
• Vacuum energies and multipole interactions
• The point-charge self-energy in Lee-Wick Theories

Cited by in corpus (3)

• External sources in a minimal and nonminimal CPT-odd Lorentz violating Maxwell electrodynamics
• Field sources in a CPT-even Lorentz-violation Maxwell electrodynamics
• Semi-transparent boundaries in CPT-even Lorentz violating electrodynamics