Auxiliary fields in the geometrical relativistic particle dynamics

Details Auxiliary fields in the geometrical relativistic particle dynamics Auxiliary fields in the geometrical relativistic particle dynamics

2008-03-07

arxiv.org/abs/0803.1153v1

J.Phys.A41:115401,2008

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, no figures

Scientific paper

10.1088/1751-8113/41/11/115401

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.

Affiliated with

Also associated with

No associations

Rating

Auxiliary fields in the geometrical relativistic particle dynamics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Auxiliary fields in the geometrical relativistic particle dynamics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Auxiliary fields in the geometrical relativistic particle dynamics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-253405