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

Abstract

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 $k_{\mathrm{AF}}$ 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 $k_{\mathrm{AF}}$-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 $k_{\mathrm{AF}}$ in the Sun-centered frame read $|(k_{\mathrm{AF}}{)}_Z|\lesssim 4\times 10^{-25}\mathrm{GeV}$ for $|(k_{\mathrm{AF}}{)}_X|,|(k_{\mathrm{AF}}{)}_Y|\lesssim 10^{-24}\mathrm{GeV}$ at the two-sigma level. This represents an improvement of about four orders of magnitude over earlier bounds based on other geophysical phenomena.

58 pages, 16 figures. Constructive comments are welcome

References in corpus (1)

• Potential of constraining the Fifth Force Using the Earth as a Spin and Mass Source from space