On the aether-like Lorentz-breaking actions
M. Gomes, J. R. Nascimento, A. Yu. Petrov, A. J. da Silva
TL;DR
This paper explores the generation of Lorentz-breaking aether-like actions for scalar, electromagnetic, and spinor fields through specific couplings, analyzing their dispersion relations and effective potentials across multiple dimensions.
Contribution
It introduces a method to generate aether-like Lorentz-breaking actions for various fields via spinor couplings in different dimensions, expanding understanding of Lorentz violation effects.
Findings
Aether-like terms are generated for scalar, electromagnetic, and spinor fields.
Dispersion relations in Lorentz-breaking theories are analyzed.
Effective potentials for fermion scattering and scalar fields are derived.
Abstract
We demonstrate the generation of the CPT-even, aether-like Lorentz-breaking actions for the scalar and electromagnetic fields via their appropriate Lorentz-breaking coupling to spinor fields in three, four and five space-time dimensions. Besides, we show that the aether-like terms for the spinor field also can be generated as a consequence of the same couplings. Also we discuss the dispersion relations in the theories with aether-like Lorentz-breaking terms and find the tree-level effective (Breit) potential for fermion scattering and the one-loop effective potential corresponding to the action of the scalar field.
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