APS » PROLA » Phys. Rev. Lett. » Volume 84 » Issue 11

Phys. Rev. Lett. 84, 2318 - 2321 (2000)

Quantum Gravity Corrections to Neutrino Propagation

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Jorge Alfaro1 *, Hugo A. Morales-Técotl2 †, and Luis F. Urrutia3 ‡
1Facultad de Física, Pontificia Universidad Católica de Chile, Casilla 306, Santiago 22, Chile
2Departamento de Física, Universidad Autónoma Metropolitana Iztapalapa, A.P. 55-534, México D.F. 09340, México
3Departamento de Física de Altas Energías, Instituto de Ciencias Nucleares Universidad Nacional Autónoma de México, A.P. 70-543, México D.F. 04510, México

Received 27 September 1999

Massive spin-1/2 fields are studied in the framework of loop quantum gravity by considering a state approximating, at a length scale L much greater than Planck length ℓP, a spin-1/2 field in flat spacetime. The discrete structure of spacetime at ℓP yields corrections to the field propagation at scale L. Neutrino bursts ( p̅ ≈105  GeV) 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 (p̅ ℓP)L/c≈104  s. To next order in p̅ ℓP, the correction has the form of the Gambini and Pullin effect for photons. A dependence Los-1∝p̅ 2ℓP is found for a two-flavor neutrino oscillation length.


©2000 The American Physical Society

URL: http://link.aps.org/abstract/PRL/v84/p2318
DOI: 10.1103/PhysRevLett.84.2318
PACS: 04.60.Ds, 14.60.Pq, 96.40.Tv, 98.70.Rz

* Electronic address: jalfaro@chopin.fis.puc.cl
† Electronic address: hugo@xanum.uam.mx
‡ Electronic address: me@aurora.nuclecu.unam.mx

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