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 (18)

• Signals for Lorentz Violation in Post-Newtonian Gravity
• The CHAOS-7 geomagnetic field model and observed changes in the South Atlantic Anomaly
• Magnetic Coordinate Systems
• The Benefits of Very Low Earth Orbit for Earth Observation Missions
• Constraints on Torsion from Lorentz Violation
• Future CMB constraints on cosmic birefringence and implications for fundamental physics
• Earth as a transducer for dark-photon dark-matter detection
• Earth as a transducer for axion dark-matter detection
• Classical solutions for the Carroll-Field-Jackiw-Proca electrodynamics
• Probing Lorentz-violating electrodynamics with CMB polarization
• A Hunt for Magnetic Signatures of Hidden-Photon and Axion Dark Matter in the Wilderness
• Searching for Magnetic Monopoles with the Earth's Magnetic Field
• Using Earth to Search for Long-Range Spin-Velocity Interactions
• External sources in a minimal and nonminimal CPT-odd Lorentz violating Maxwell electrodynamics
• Constraints on photon mass and dark photon from the Jovian magnetic field
• Testing the Ampère-Maxwell law on the photon mass and Lorentz-Poincaré symmetry violation with MMS multi-spacecraft data
• Constraining CPT-odd electromagnetic chiral parameters with pulsar timing
• Potential of constraining the Fifth Force Using the Earth as a Spin and Mass Source from space