TY - JOUR

T1 - The alternative to classical mass renormalization for tube-based self-force calculations

AU - Norton, Andrew

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

UR - http://www.iop.org/EJ/article/0264-9381/26/10/105009/cqg9_10_105009.pdf?request-id=c7376bd5-4e49-4eab-9dbb-1cda13bc71df

M3 - Article

SN - 0264-9381

VL - 26

SP - 105009-1 - 105009-19

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

IS - 10

ER -