  The recent OPERA measurement of high-energy neutrino velocity, once
independently verified, implies new physics in the neutrino sector. We revisit
the theoretical inconsistency of the fundamental high-energy cutoff attributing
to quantum gravity with the parity-violating gauge symmetry of local quantum
field theory describing neutrinos. This inconsistency suggests high-dimension
operators of neutrino interactions. Based on these studies, we try to view the
OPERA result, high-energy neutrino oscillations and indicate to observe the
restoration of parity conservation by measuring the asymmetry of high-energy
neutrinos colliding with left- and right-handed polarized electrons.
