### Lorentz violation dispersion relation and its applicationLorentz violation dispersion relation and its application

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 Author Xiao, Zhi ♦ Ma, Bo-Qiang Source arXiv.org Content type Text File Format PDF Date of Submission 2008-05-14 Language English
 Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Physics Subject Keyword High Energy Physics - Phenomenology ♦ physics:hep-ph Abstract 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. Description Reference: Int. J. Mod. Phys. A24:1359-1381, 2009 Educational Use Research Learning Resource Type Article