Relativistic Lagrangians for the Lorentz-Dirac equation
Classical Physics
2015-06-16 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1501.04551,
title = {Relativistic Lagrangians for the Lorentz-Dirac equation},
author = {Shinichi Deguchi and Kunihiko Nakano and Takafumi Suzuki},
journal= {arXiv preprint arXiv:1501.04551},
year = {2015}
}
Comments
16 pages, a gauge transformation is considered, published version