Classical kinematics for isotropic, minimal Lorentz-violating fermion operators

Abstract

In this article the classical, relativistic Lagrangian based on the isotropic fermion sector of the Lorentz-violating (minimal) Standard-Model Extension is considered. The motion of the associated classical particle in an external electromagnetic field is studied and the evolution of its spin, which is introduced by hand, is investigated. It is shown that the particle travels along trajectories that are scaled versions of the standard ones. Furthermore there is no spin precession due to Lorentz violation, but the rate is modified at which the longitudinal and transverse spin components transform into each other. This demonstrates that it is practical to consider classical physics within such an isotropic Lorentz-violating framework and it opens the pathway to study a curved background in that context.

20 pages

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Cited by in corpus (4)

• Lorentz-violating spinor electrodynamics and Penning traps
• Classical-physics applications for Finsler $b$ space
• Lorentz and CPT tests with charge-to-mass ratio comparisons in Penning traps
• Classical Lagrangians for the nonminimal Standard-Model Extension at higher orders in Lorentz violation