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
arXiv:0811.1066
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.
5 pages, 4 figures