Axion-electrodynamics: a quantum field calculation

Abstract

An axion background field induces tiny oscillating electric and magnetic fields in an external static magnetic field. This signature is used to search for axion dark matter. We use standard quantum field theory techniques to obtain an expression for a transition amplitude, from which we identify the classical electromagnetic fields induced by the background axion field. We confirm previous results, that if the spatial size $R$ of the applied static magnetic field is small compared to the axion Compton wavelength $\lambda$, the induced electric and magnetic fields are parametrically suppressed by the small numbers $(R/\lambda {)}^2$ and $R/\lambda$, respectively, relative to the case when $R$ is larger than $\lambda$. Our approach allows an intuitive interpretation in terms of 4-momentum conservation and momentum exchange via the photon propagator.

arXiv comment16 pages, 1 figure. Minor corrections. Matches published version in JCAP

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• Modified Axion Electrodynamics as Impressed Electromagnetic Sources Through Oscillating Background Polarization and Magnetization
• Dark Matter Targets for Axion-like Particle Searches
• Microwave cavity searches for low-frequency axion dark matter
• Direct Deflection of Particle Dark Matter
• Parametrics of electromagnetic searches for axion dark matter
• A First Look on 3D Effects in Open Axion Haloscopes
• Broadband Electrical Action Sensing Techniques with conducting wires for low-mass dark matter axion detection
• Poynting vector controversy in axion modified electrodynamics
• Relaxing CMB bounds on Primordial Black Holes: the role of ionization fronts
• Resonant Electric Probe to Axionic Dark Matter
• Axion induced spin effective couplings
• Solutions to axion electromagnetodynamics and new search strategies of sub-$\mu$eV axion
• Impedance Matching to Axion Dark Matter: Considerations of the Photon-Electron Interaction
• GALILEO: Galactic Axion Laser Interferometer Leveraging Electro-Optics
• Quantum dual-path interferometry scheme for axion dark matter searches
• Chern Simons condensate from misaligned axions
• An introduction to axions and their detection