Born-Infeld electrodynamics in very special relativity

Abstract

In this work we discuss the properties of a modified Born-Infeld electrodynamics in the framework of very special relativity (VSR). This proposal allows us to study VSR mass effects in a gauge-invariant context of nonlinear electrodynamics. It is analyzed in detail the electrostatic solutions for two different cases, as well as the VSR dispersion relations are found to be of a \emph{massive} particle with nonlinear modifications. Afterwards, the field energy and static potential are computed, in the latter we find from the VSR contribution a novel long-range $1/L^3$ correction to the Coulomb potential, in contrast to the $1/L^5$ correction of the usual Born-Infeld theory.

14 pages; to appear in PLB

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Cited by in corpus (12)

• Einstein-Born-Infeld-Massive Gravity: adS-Black Hole Solutions and their Thermodynamical properties
• Massive charged BTZ black holes in asymptotically (a)dS spacetimes
• Thermodynamical Structure of AdS Black Holes in Massive Gravity with Stringy Gauge-Gravity Corrections
• Very Special Relativity as a background field theory
• Spherical Accretion of Matter by Charged Black Holes on f(T) Gravity
• Quantum Gauge Freedom in Very Special Relativity
• Reducible gauge theories in very special relativity
• Quantum field theory with a preferred direction: The very special relativity framework
• Axion Mass Bound in Very Special Relativity
• SIM$(1)$--VSR Maxwell-Chern-Simons electrodynamics
• Thermal effects of Very Special Relativity Quantum Electrodynamics
• Extending the Euler-Heisenberg action to include effects of local Lorentz-symmetry violating backgrounds