An Abraham-Lorentz-like equation for the electron from the worldline variational approach to QED
Date
2004
Authors
Rosenfelder, R.
Schreiber, A.
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Journal article
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European Physical Journal C: Particles and Fields, 2004; 37(2):161-171
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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.
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The original publication can be found at www.springerlink.com