Abstract
Massive spin-1/2 fields are studied in the framework of loop quantum gravity by considering a state approximating, at a length scale much greater than Planck length , a spin-1/2 field in flat spacetime. The discrete structure of spacetime at yields corrections to the field propagation at scale . Neutrino bursts ( ) accompanying gamma ray bursts that have traveled cosmological distances L are considered. The dominant correction is helicity independent and leads to a time delay of order . To next order in , the correction has the form of the Gambini and Pullin effect for photons. A dependence is found for a two-flavor neutrino oscillation length.
- Received 27 September 1999
DOI:https://doi.org/10.1103/PhysRevLett.84.2318
©2000 American Physical Society