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arXiv · 0905.0006

The alternative to classical mass renormalization for tube-based self-force calculations

Andrew H. Norton
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Abstract

To date, classical mass renormalization has been invoked in all tube-based self-force calculations, thus following the method introduced in Dirac's 1938 calculation of the electromagnetic self-force for the classical radiating electron. In this paper a new tube method is described that does not rely on a mass renormalization procedure. As a result, exact self-force calculations become possible for classical radiating systems of finite size. A new derivation of the Lorentz-Dirac equation is given and the relationship between the new tube method and the classical mass renormalization procedure is explained. It is expected that a similar tube method could be used to obtain rigorous results in the gravitational self-force problem.

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Andrew H. Norton. 2009-04-30. The alternative to classical mass renormalization for tube-based self-force calculations. https://doi.org/10.1088/0264-9381%2F26%2F10%2F105009

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