Effect of the Anomalous Magnetic Moment of the Electron on Spontaneous Pair Production in a Strong Magnetic Field

Abstract

Taking into account the anomalous magnetic moment of the electron by adding the socalled Pauli anomalous interaction term to the usual Dirac Hamiltonian for an electron in a constant magnetic field $H$, we conclude that spontaneous pair creation may occur for values of $H$ of the order of $\frac{m^2{c}^4}{e^3}$, a "critical field" beyond which classical electro-dynamics breaks down.