Rosenfelder, R.Schreiber, A.2006-07-052006-07-052004European Physical Journal C: Particles and Fields, 2004; 37(2):161-1711434-60441434-6052http://hdl.handle.net/2440/10980The original publication can be found at www.springerlink.comThe variational equation for the mean square displacement of the electron in the polaron worldline approach to quenched QED can be cast into a form which closely resembles the classical Abraham-Lorentz equation but without the conceptual and practical diseases of the latter. The connection with delay equations describing field retardation effects is also established. As applications we solve this integro-differential equation numerically for various values of the coupling constant and cut-off and re-derive the variational approximation to the anomalous mass dimension of the electron found recently.enJournal article002004147410.1140/epjc/s2004-01996-80002246396000032-s2.0-2044438981556280Schreiber, A. [0000-0002-9081-3405]