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

Noncommutative geometry in quantum field theory and the cosmogenic neutrino physics at the extreme energies