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arXiv · 1306.1941

Very Special Relativity and Lorentz Violating Theories

Jorge Alfaro·Victor O. Rivelles
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Abstract

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.

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Jorge Alfaro, Victor O. Rivelles. 2014-05-26. Very Special Relativity and Lorentz Violating Theories. https://doi.org/10.1016/j.physletb.2014.05.068

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