A quantum field model for tachyonic neutrinos with Lorentz symmetry breaking

Details A quantum field model for tachyonic neutrinos with Lorentz symmetry breaking A quantum field model for tachyonic neutrinos with Lorentz symmetry breaking

2010-07-30

arxiv.org/abs/1007.5418v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, 1 figure, Presented at the Fifth Meeting on CPT and Lorentz Symmetry, Bloomington, Indiana, June 28-July 2, 2010

Scientific paper

A quantum field model for Dirac-like tachyons respecting a frame-dependent interpretation rule, and thus inherently breaking Lorentz invariance, is defined. It is shown how the usual paradoxa ascribed to tachyons, instability and acausality, are resolved in this model, and it is argued elsewhere that Lorentz symmetry breaking is necessary to permit perturbative renormalizability and causality. Elimination of negative-normed states results in only left-handed particles and right-handed antiparticles, suitable for describing the neutrino. In this context the neutron beta decay spectrum is calculated near the end point for large, but not ultrarelativistic preferred frame speed, assuming a vector weak interaction vertex.

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