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arXiv · 1207.1745

The Lorentz-Dirac and Landau-Lifshitz equations from the perspective of modern renormalization theory

Charles W. Nakhleh
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Abstract

This paper uses elementary techniques drawn from renormalization theory to derive the Lorentz-Dirac equation for the relativistic classical electron from the Maxwell-Lorentz equations for a classical charged particle coupled to the electromagnetic field. I show that the resulting effective theory, valid for electron motions that change over distances large compared to the classical electron radius, reduces naturally to the Landau-Lifshitz equation. No familiarity with renormalization or quantum field theory is assumed.

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Charles W. Nakhleh. 2012-07-06. The Lorentz-Dirac and Landau-Lifshitz equations from the perspective of modern renormalization theory. https://doi.org/10.1119/1.4773292

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