Radiative and non-perturbative corrections to the electron mass and the anomalous magnetic moment in the presence of an external magnetic field of arbitrary strength

TL;DR

This paper calculates radiative and non-perturbative corrections to the electron mass and anomalous magnetic moment in arbitrary magnetic fields using the Ritus eigenfunction method and numerical solutions of Schwinger-Dyson equations.

Contribution

It introduces a comprehensive approach to evaluate electron properties in magnetic fields of any strength, including all Landau levels without approximations.

Findings

Derived an expression for the electron mass correction in moderate magnetic fields.

Numerically solved Schwinger-Dyson equations including all Landau levels.

Provided insights into the behavior of the anomalous magnetic moment near critical fields.

Abstract

Using the Ritus eingenfunction method we compute corrections to the electron mass m_{0} in the presence of a moderate magnetic field eB ~ m_0^2. From this we obtain an expression for the anomalous magnetic moment near the critic field. For this we solved numerically the Schwinger-Dyson equations in the rainbow approximation including all Landau levels without make any assumption respect to the field strength.