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Relativistic Lagrangians for the Lorentz-Dirac equation

Authors
  • Deguchi, Shinichi
  • Nakano, Kunihiko
  • Suzuki, Takafumi
Type
Published Article
Publication Date
Jun 13, 2015
Submission Date
Jan 19, 2015
Identifiers
arXiv ID: 1501.04551
Source
arXiv
License
Yellow
External links

Abstract

We present two types of relativistic Lagrangians for the Lorentz-Dirac equation written in terms of an arbitrary world-line parameter. One of the Lagrangians contains an exponential damping function of the proper time and explicitly depends on the world-line parameter. Another Lagrangian includes additional cross-terms consisting of auxiliary dynamical variables and does not depend explicitly on the world-line parameter. We demonstrate that both the Lagrangians actually yield the Lorentz-Dirac equation with a source-like term.

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