# Anomalous magnetic moment of electron

It is known that the value of 2 of the electron g-factor arises from the Dirac equation. As far as I can see from the various sources, this value is obtained in non-relativistic limit, in particular by reducing Dirac equation to Pauli equation.

The anomalous magnetic moment of electron is further explained to arise from the electron's interaction with the surrounding electromagnetic field.

Is it possible that the anomalous magnetic moment is due to additional terms (such as an electric moment) omitted in the non-relativistic limit?

-

No, the correction is a strictly quantum effect. If you were to keep track of $\hbar$ while doing this computation, you'd find the correction is $O(\hbar)$. Generically, this corresponds to one-loop corrections in quantum field theory.