Axion Induced Oscillating Electric Dipole Moments

Understand

The axion electromagnetic anomaly induces an oscillating electric dipole for {\em any} static magnetic dipole.

• Static electric dipoles do not produce oscillating magnetic moments.
• This is a low energy theorem which is a consequence of the space-time dependent cosmic background field of the axion in the limit that it is only locally time dependent $(\overrightarrow{\beta}=0)$.
• The electron will acquire an oscillating electric dipole of frequency $m_a$ and strength $\sim 10^{-32}$ e-cm, three orders of magnitude above the nucleon, and within four orders of magnitude of the present standard model DC limit.