Flavour-mixing gauge field theory of massive Majorana neutrinos

TL;DR

This paper develops a gauge-field theory for massive Majorana neutrinos, introducing a four-flavour structure that could explain neutrino mixing dynamically within a real, covariant framework.

Contribution

It presents a novel gauge theory for Majorana neutrinos using a real covariant derivative, incorporating four intrinsic flavours and enabling a dynamic understanding of neutrino mixing.

Findings

Introduces a real gauge coupling for Majorana neutrinos.

Proposes a four-flavour model related to neutrino mixing.

Maintains the real nature of the Majorana equation with interactions.

Abstract

A gauge-field theory for massive neutral particles is developed on the basis of the real four-component Majorana equation. By use of its spin operator, a purely imaginary representation of the SU(2) algebra can be defined, which gives a covariant derivative that is real. Such a coupling to the gauge field preserves the real nature of the Majorana equation even when including interactions. As the associated isospin is four-dimensional, this procedure introduces four intrinsic degrees of freedom to the Majorana field, which may be related to four flavours. The main aim is to describe here the mathematical possibility for coupling Majorana particles with a gauge field which resembles that of the weak interaction. By adding a fourth member to the family, flavour could become a dynamic trait of the neutral Majorana particles, and thus lead to a dynamic understanding of mixing.