http://arxiv.org/abs/1508.04083

The axion electromagnetic anomaly induces an oscillating electric dipole for the electron of frequency $m_a$ and strength $\sim 10^{-32}$ e-cm, two orders of magnitude above the nucleon, and within four orders of magnitude of the present standard model constant limit. We give a detailed study of this phenomenon via the interaction of the cosmic axion, through the electromagnetic anomaly, with particular emphasis on the decoupling limit of the axion, $\partial_t a(t)\propto m_a \rightarrow 0$. The general form of the action involves a local contact interaction and a nonlocal contribution that enforces the decoupling limit. We derive the effective action in the Pauli-Schroedinger non-relativistic formalism, and in Georgi’s heavy quark formalism adapted to the “heavy electron” (heavy compared to $m_a$). We compute the electric dipole radiation emitted by stationary electrons, and we discuss a number of experimental configurations that may yield detectable signals. Phased array radiators with $N^2$ unit cell magnetic elements may have advantages over resonant cavities that exploit large $Q$, since we can design toward $N^2 >> Q$.

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C. Hill
Tue, 18 Aug 15
6/43

Comments: 12 pages, 1 figure