An Abraham-Lorentz-like Equation for the Electron from the Worldline Variational Approach to QED

Details An Abraham-Lorentz-like Equation for the Electron from the Worldline Variational Approach to QED An Abraham-Lorentz-like Equation for the Electron from the Worldline Variational Approach to QED

2004-06-07

arxiv.org/abs/hep-th/0406062v1

Eur.Phys.J. C37 (2004) 161-171

Physics

High Energy Physics

High Energy Physics - Theory

LATeX, 20 pages, 2 figures

Scientific paper

The 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.

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