  Analysis of the covariant theta-exact noncommutative (NC) gauge field theory
(GFT), inspired by high energy cosmic rays experiments, is performed in the
framework of the inelastic neutrino-nucleon scatterings. Next we have have
found neutrino two-point function and shows a closed form decoupled from the
hard ultraviolet (UV) divergent term, from softened ultraviolet/infrared
(UV/IR) mixing term, and from the finite terms as well. For a certain choice of
the noncommutative parameter theta which preserves unitarity, problematic UV
divergent and UV/IR mixing terms vanish. Non-perturbative modifications of the
neutrino dispersion relations are assymptotically independent of the scale of
noncommutativity in both, the low and high energy limits and may allow
superluminal propagation.
