Ghost condensation and CPT violation in neutrino sector

We consider CPT violation in neutrino sector, which is induced by ghost condensation. A model with extra dimension is suggested where ghost condensation occurs at a distant location separated from the SM brane. Right handed neutrinos in the bulk, which are originally introduced to explain small Yukawa couplings, play the role of messenger fields communicating ghost condensation and the standard model sector and lead to a sizable CPT violation in neutrino sector at the leading order. The model provides a resolution to the recent MINOS anomaly without spoiling any experimental constraints and may be able to be tested by observing an interesting phenomenon, twinkling cosmic microwave background radiation, with timescale about O(10-100) minutes at future CMB observations e.g. Planck.