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

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

2009-04-30

arxiv.org/abs/0905.0006v1

Class. Quantum Grav. 26 (2009) 105009 (19pp)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages, 2 figures. An accompanying Mathematica notebook is available at http://124.178.231.75/sfcalc

Scientific paper

10.1088/0264-9381/26/10/105009

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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