Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2008-05-14
Int. J. Mod. Phys. A24:1359-1381, 2009
Physics
High Energy Physics
High Energy Physics - Phenomenology
22 Latex pages, final version in publication
Scientific paper
10.1142/S0217751X09042955
We derive a modified dispersion relation (MDR) in the Lorentz violation extension of quantum electrodynamics (QED) sector in the standard model extension (SME) framework. Based on the extended Dirac equation and corresponding MDR, we observe the resemblance of the Lorentz violation coupling with spin-gravity coupling. We also develop a neutrino oscillation mechanism induced by the presence of nondiagonal terms of Lorentz violation couplings in 2-flavor space in a 2-spinor formalism by explicitly assuming neutrinos to be Marjorana fermions. We also obtain a much stringent bound ($\backsim10^{-25}$) on one of the Lorentz violation parameters by applying MDR to the ultrahigh energy cosmic ray (UHECR) problem.
Ma Bo-Qiang
Xiao Zhi
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