An Abraham-Lorentz-like Equation for the Electron from the Worldline Variational Approach to QED
High Energy Physics - Theory
2015-06-26 v1 High Energy Physics - Phenomenology
Quantum Physics
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.
Keywords
Cite
@article{arxiv.hep-th/0406062,
title = {An Abraham-Lorentz-like Equation for the Electron from the Worldline Variational Approach to QED},
author = {R. Rosenfelder and A. W. Schreiber},
journal= {arXiv preprint arXiv:hep-th/0406062},
year = {2015}
}
Comments
LATeX, 20 pages, 2 figures