Issue |
EPL
Volume 81, Number 4, February 2008
|
|
---|---|---|
Article Number | 40010 | |
Number of page(s) | 5 | |
Section | General | |
DOI | https://doi.org/10.1209/0295-5075/81/40010 | |
Published online | 28 January 2008 |
Obtaining the equation of motion for a fermionic particle in a generalized Lorentz-violating system framework
1
Instituto de Física Gleb Wataghin, UNICAMP - PO Box 6165, 13083-970, Campinas, SP, Brasil
2
Centro de Matemática, Computação e Cognição, Universidade Federal do ABC - 09210-170, Santo André, SP, Brazil
Corresponding authors: alexeb@ifi.unicamp.br roldao.rocha@ufabc.edu.br roldao@ifi.unicamp.br
Received:
3
October
2007
Accepted:
15
December
2007
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 (≡ (1, 0, 0, 1)),
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.
PACS: 03.30.+p – Special relativity / 11.30.Cp – Lorentz and Poincare invariance / 11.30.-j – Symmetry and conservation laws
© EPLA, 2008
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