  We employ an all-sky map of the anomalous microwave emission (AME) produced
by component separation of the microwave sky to study correlations between the
AME and Galactic dust properties. We find that while the AME is highly
correlated with all tracers of dust emission, the best predictor of the AME
strength is the dust radiance. Fluctuations in the AME intensity per dust
radiance are uncorrelated with fluctuations in the emission from polycyclic
aromatic hydrocarbons (PAHs), casting doubt on the association between AME and
PAHs. The PAH abundance is strongly correlated with the dust optical depth and
dust radiance, consistent with PAH destruction in low density regions. We find
that the AME intensity increases with increasing radiation field strength, at
variance with predictions from the spinning dust hypothesis. Finally, the
temperature-dependence of the AME per dust radiance disfavors the
interpretation of the AME as thermal emission. A reconsideration of other AME
carriers, such as ultrasmall silicates, and other emission mechanisms, such as
magnetic dipole emission, is warranted.
