Sixth-Order Radiative Corrections to the Anomalous Magnetic Moment of the Electron

Abstract

In order to evaluate the contributions to the anomalous magnetic moment of the electron ($a_e$), a method entirely based on computer techniques is developed. This method is embedded in the framework of the functional formalism. As a first result, the contributions to the ${\alpha }^3$ part of $a_3$ from diagrams with vacuum polarization insertions are derived.