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arXiv · 1501.04551

Relativistic Lagrangians for the Lorentz-Dirac equation

Shinichi Deguchi·Kunihiko Nakano·Takafumi Suzuki
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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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Shinichi Deguchi, Kunihiko Nakano, Takafumi Suzuki. 2015-01-19. Relativistic Lagrangians for the Lorentz-Dirac equation. https://arxiv.org/abs/1501.04551

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