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<p>Lorentz-symmetry violation may be described via the CPT-odd, dimension-3, Carroll-Field-Jackiw term, which couples the electromagnetic fields to a constant 4-vector <i>k</i><sub>AF</sub> selecting a preferred direction in spacetime. We solve the field equations using the Green’s method for a static point-like magnetic dipole and find the <i>k</i><sub>AF</sub>-dependent corrections to the standard dipolar magnetic field that strongly dominates the near-Earth magnetic field. Given the very good agreement between current models and ground- and satellite-based geomagnetic data, our strongest constraints on the components of <i>k</i><sub>AF</sub> in the Sun-centered frame read |(<i>k</i><sub>AF</sub>)<sub><i>Z</i></sub>| ≲ 4 × 10<sup>−25</sup> GeV for |(<i>k</i><sub>AF</sub>)<sub><i>X</i></sub>|, |(<i>k</i><sub>AF</sub>)<sub><i>Y</i></sub>| ≲ 10<sup>−24</sup> GeV at the two-sigma level. This represents an improvement of about four orders of magnitude over earlier bounds based on other geophysical phenomena.</p>

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Limits on the Carroll-Field-Jackiw electrodynamics from geomagnetic data

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月20日

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  • G. F. de Carvalho,
  • M. Fillion,
  • P. C. Malta,
  • C. A. D. Zarro

摘要

Lorentz-symmetry violation may be described via the CPT-odd, dimension-3, Carroll-Field-Jackiw term, which couples the electromagnetic fields to a constant 4-vector kAF selecting a preferred direction in spacetime. We solve the field equations using the Green’s method for a static point-like magnetic dipole and find the kAF-dependent corrections to the standard dipolar magnetic field that strongly dominates the near-Earth magnetic field. Given the very good agreement between current models and ground- and satellite-based geomagnetic data, our strongest constraints on the components of kAF in the Sun-centered frame read |(kAF)Z| ≲ 4 × 10−25 GeV for |(kAF)X|, |(kAF)Y| ≲ 10−24 GeV at the two-sigma level. This represents an improvement of about four orders of magnitude over earlier bounds based on other geophysical phenomena.