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arXiv 0803.1153hep-th
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几何相对论粒子动力学中的辅助场

Auxiliary fields in the geometrical relativistic particle dynamics

A. Amador, N. Bagatella, R. Cordero, E. Rojas

备注：
13 pages, no figures
发表信息：
J.Phys.A41:115401,2008
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摘要：

我们描述了如何构建动力学的相对论粒子以下，无论是类时曲线或零曲线，通过辅助变量的方法，而不是标准理论的变形曲线。有一些有趣的物理粒子模型是由涉及世界线嵌入函数的高阶导数的作用所支配的。我们指出，这样的模型的机械内容可以明智地提取从一个较低的顺序的行动，这可以通过在行动中实施有限数量的约束，涉及到固有的曲线的几何关系结构，并通过使用协变形式主义。我们强调我们的方法为零曲线。对于这样的系统，自然时间参数是一个伪弧长，其性质类似于那些标准的固有时间。我们说明的形式主义，将其应用到一些模型的相对论粒子。

英文摘要：

We describe how to construct the dynamics of relativistic particles following, either timelike or null curves, by means of an auxiliary variables method instead of the standard theory of deformations for curves. There are interesting physical particle models governed by actions that involve higher order derivatives of the embedding functions of the worldline. We point out that the mechanical content of such models can be extracted wisely from a lower order action, which can be performed by implementing in the action a finite number of constraints that involve the geometrical relationship structures inherent to a curve and by using a covariant formalism. We emphasize our approach for null curves. For such systems, the natural time parameter is a pseudo-arclength whose properties resemble those of the standard proper time. We illustrate the formalism by applying it to some models for relativistic particles.

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