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

Andrew Norton

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2 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)105009-1 - 105009-19
Number of pages19
JournalClassical and Quantum Gravity
Volume26
Issue number10
Publication statusPublished - 2009

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