SIM$(1)$--VSR Maxwell-Chern-Simons electrodynamics

Abstract

In this paper we propose a very special relativity (VSR)-inspired generalization of the Maxwell-Chern-Simons (MCS) electrodynamics. This proposal is based upon the construction of a proper study of the SIM$(1)$--VSR gauge-symmetry. It is shown that the VSR nonlocal effects present a significant and health departure from the usual MCS theory. The classical dynamics is analysed in full detail, by studying the solution for the electric field and static energy for this configuration. Afterwards, the interaction energy between opposite charges are derived and we show that the VSR effects play an important part in obtaining a (novel) finite expression for the static potential.

15 pages, 2 figures; to appear in PLB

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• Very Special Relativity
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• Thermal effects of Very Special Relativity Quantum Electrodynamics
• Induced Maxwell-Chern-Simons Effective Action in Very Special Relativity
• Induced non-Abelian Chern-Simons effective action in very special relativity
• Casimir effect in Very Special Relativity at finite temperature
• Vacuum polarization and induced Maxwell and Kalb-Ramond effective action in very special relativity