2013/06/30 by Jorge Alfaro, Victor O. Rivelles · 1 citation
Physics and Astronomy · #hep-th #hep-ph
paper · pdf · doi:10.1016/j.physletb.2014.05.068
published as Phys. Lett. B, 734, 239-244 (2014) · Latex, 16 pages. Add references and discussion on the distribution function
arxiv created 2014/05/26 · arxiv updated 2014/09/22
Very special relativity (VSR) keeps the main features of special relativity but breaks rotational invariance. It can not be regarded as a fundamental symmetry of nature because many observed phenomena depend on the existence of Lorentz boosts. However, within the scope of Lorentz violating theories it can have a role since it is breaking Lorentz symmetry in a very mild way. In this context, when VSR terms are incorporated in a Lorentz invariant theory several possibilities are allowed. In order to generate such terms systematically we start with a formulation for a spinning particle in VSR. It is then coupled minimally to the electromagnetic field and a gyromagnetic factor is added to give rise to a magnetic moment. In order to analyze the effects of VSR in Thomas precession a spin vector is then proposed in terms of the spinning particle variables. It is then found the VSR contributions to the equation which determines the spin precession angular velocity.