Lagrangian of the quasi-rigid extended charge

Details Lagrangian of the quasi-rigid extended charge Lagrangian of the quasi-rigid extended charge

2007-02-10

arxiv.org/abs/hep-th/0702078v1

J.Phys.A40:2053-2062,2007

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, latex, submitted to JPA

Scientific paper

10.1088/1751-8113/40/9/011

It is proposed a Lagrangian for the quasi-rigid extended charged particle, which consists of a bare point particle term plus the standard electromagnetic minimal coupling. The quasi-rigid motion is imposed as a constraint. The extension of the particle and the quasi-rigid motion appear inside the current density. The Lorentz contraction of the extended particle makes the interaction term dependent on the acceleration. This dependence produces the additional terms in the equations of motion that are necessary for the proper energy and momentum conservation, and that were previously identified as the inertial effects of stress. The momentum of stress is obtained as an explicit function of the electromagnetic field.

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