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An Abraham-Lorentz-like Equation for the Electron from the Worldline Variational Approach to QED | | R. Rosenfelder
; A. W. Schreiber
; | | Date: |
7 Jun 2004 | | Journal: | Eur.Phys.J. C37 (2004) 161-171 | | Subject: | hep-th hep-ph quant-ph | | Abstract: | 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. | | Source: | arXiv, hep-th/0406062 | | Services: | Forum | Review | PDF | Favorites | |
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