Solutions to axion electromagnetodynamics and new search strategies of sub-$\mu$eV axion

Abstract

The Witten effect implies the electromagnetic interactions between axions and magnetic monopoles. Based on the quantum electromagnetodynamics, a generic low-energy axion-photon effective field theory was built by introducing two four-potentials ($A^{\mu }$ and $B^{\mu }$) to describe a photon. More anomalous axion-photon interactions and couplings ($g_{aAA}$, $g_{aBB}$ and $g_{aAB}$) arise in contrary to the ordinary axion coupling $g_{a\gamma \gamma }a{F}^{\mu \nu }{\tilde{F}}_{\mu \nu }$. As a consequence, the conventional axion Maxwell equations are further modified. We properly solve the new axion-modified Maxwell equations and obtain the axion-induced electromagnetic fields given a static electric or magnetic field. It turns out that the dominant couplings $g_{aAB}$ and $g_{aBB}$ can be probed in the presence of external magnetic field and electric field, respectively. The induced oscillating magnetic fields are always suppressed compared with the electric fields for the axions with large Compton wavelengths. This is contrary to the situation in conventional experiments searching for the oscillating magnetic fields induced by sub-$\mu$eV axions. Thus, we propose new strategies to measure the new couplings for sub-$\mu$eV axion in haloscope experiments.

18 pages, 5 figures. Version accepted for publication in JHEP

References in corpus (7)

• The landscape of QCD axion models
• Invisible Axion Search Methods
• The search for low-mass axion dark matter with ABRACADABRA-10cm
• Search for Axionlike-Particle-Induced Prompt Gamma-Ray Emission from Extragalactic Core-Collapse Supernovae with the Fermi Large Area Telescope
• Constraints on the Coupling between Axionlike Dark Matter and Photons Using an Antiproton Superconducting Tuned Detection Circuit in a Cryogenic Penning Trap
• Introducing DMRadio-GUT, a search for GUT-scale QCD axions
• Resonant Electric Probe to Axionic Dark Matter

Cited by in corpus (2)

• Searching for GUT-scale QCD Axions and Monopoles with a High Voltage Capacitor
• Equation of spin motion for a particle with electric and magnetic charges and dipole moments