Space-time Torsion and Neutrino Oscillations in Vacuum

TL;DR

This paper investigates how space-time torsion affects neutrino oscillations in vacuum, specifically analyzing phase differences in a Schwarzschild background within the TEGR framework.

Contribution

It provides a detailed analysis of neutrino phase dynamics considering space-time torsion in the TEGR formalism, clarifying the role of spin-torsion interaction.

Findings

Neutrino phase differences are influenced by space-time torsion.

The spin of neutrinos interacts with torsion, affecting oscillation phases.

The study extends understanding of neutrino behavior in alternative gravity theories.

Abstract

The objective of this study is to verify the consistency of the prescription of alternative minimum coupling (connection) proposed by the Teleparallel Equivalent to General Relativity (TEGR) for the Dirac equation. With this aim, we studied the problem of neutrino oscillations in Weitzenbock space-time in the Schwarzschild metric. In particular, we calculate the phase dynamics of neutrinos. The relation of spin of the neutrino with the space-time torsion is clarified through the determination of the phase differences between spin eigenstates of the neutrinos.