Auxiliary fields in the geometrical relativistic particle dynamics

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dc.creatorAmador, A.
dc.creatorBagatella, N.
dc.creatorCordero, R.
dc.creatorRojas, E.
dc.date2008-03-07
dc.date.accessioned2026-07-07T11:14:17Z
dc.date.available2026-07-07T11:14:17Z
dc.descriptionWe 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.
dc.description13 pages, no figures
dc.identifierhttps://arxiv.org/abs/0803.1153
dc.identifierhttp://arxiv.org/abs/0803.1153
dc.identifierJ.Phys.A41:115401,2008
dc.identifierdoi:10.1088/1751-8113/41/11/115401
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/192018
dc.subjectHigh Energy Physics - Theory
dc.titleAuxiliary fields in the geometrical relativistic particle dynamics
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