A quantum field model for tachyonic neutrinos with Lorentz symmetry breaking

TL;DR

This paper introduces a quantum field model for tachyonic neutrinos that inherently breaks Lorentz symmetry, resolving traditional paradoxes and enabling a consistent description of neutrino properties within a frame-dependent framework.

Contribution

It presents a novel quantum field model for tachyonic neutrinos that incorporates Lorentz symmetry breaking to ensure renormalizability and causality, and calculates the beta decay spectrum near the endpoint.

Findings

Resolves tachyonic paradoxes like instability and acausality

Results in a model with only left-handed neutrinos and right-handed antineutrinos

Calculates beta decay spectrum near endpoint with a preferred frame

Abstract

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.