Testing Lorentz invariance violations in the tritium beta-decay anomaly

We consider a Lorentz non-invariant dispersion relation for the neutrino, w hich would produce unexpected effects with neutrinos of few eV, exactly whe re the tritium beta-decay anomaly is found. We use this anomaly to put boun ds on the violation of Lorentz invariance. We discuss other consequences of this non-invariant dispersion relation in neutrino experiments and high-en ergy cosmic-ray physics. (C) 2000 Elsevier Science B.V. All rights reserved .