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arXiv · hep-th/0701092

Obtaining the equation of motion for a fermionic particle in a generalized Lorentz-violating system framework

Alex E. Bernardini·Roldao da Rocha
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Abstract

Using a generalized procedure for obtaining the dispersion relation and the equation of motion for a propagating fermionic particle, we examine previous claims for a preferred axis at $n_μ$($\equiv(1,0,0,1)$), $n^{2}=0$ embedded in the framework of very special relativity (VSR). We show that, in a relatively high energy scale, the corresponding equation of motion is reduced to a conserving lepton number chiral equation previously predicted in the literature. Otherwise, in a relatively low energy scale, the equation is reduced to the usual Dirac equation for a free propagating fermionic particle. It is accomplished by the suggestive analysis of some special cases where a nonlinear modification of the action of the Lorentz group is generated by the addition of a modified conformal transformation which, meanwhile, preserves the structure of the ordinary Lorentz algebra in a very peculiar way. Some feasible experiments, for which Lorentz violating effects here pointed out may be detectable, are suggested.

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Alex E. Bernardini, Roldao da Rocha. 2007-11-29. Obtaining the equation of motion for a fermionic particle in a generalized Lorentz-violating system framework. https://doi.org/10.1209/0295-5075%2F81%2F40010

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