Quantum gravity corrections to neutrino propagation

Massive spin-1/2 fields are studied in the framework of loop quantum gravit y by considering a state approximating, at a length scale L much greater th an Planck length ep, a spin-1/2 field in flat spacetime. The discrete struc ture of spacetime at ep yields corrections to the field propagation at scal e L. Neutrino bursts ((p) over bar approximate to 10(5) GeV) accompanying g amma ray bursts that have traveled cosmological distances L are considered. The dominant correction is helicity independent and leads to a time delay of order ((p) over bar lp)L/c approximate to 10(4) s. To next order in (p) over bar lp, the correction has the form of the Gambini and Pullin effect f or photons. A dependence L-os(-1) proportional to (p) over bar(2)lp is foun d for a two-flavor neutrino oscillation length.