Spinor Fields, Singular Structures, Charge Conjugation, ELKO and Neutrino Masses

TL;DR

This paper provides a comprehensive analysis of spinor fields, focusing on singular spinors like ELKO and Majorana types, and explores their potential role in neutrino mass generation.

Contribution

It introduces a unified treatment of regular and singular spinors, including a detailed study of ELKO spinors and their implications for neutrino masses.

Findings

ELKO spinors are a new class with unique charge-conjugation properties

The framework links spinor classifications to neutrino mass mechanisms

Singular spinors can contribute to neutrino mass generation models

Abstract

In this paper, we consider the most general treatment of spinor fields, their kinematic classification and the ensuing dynamic polar reduction, for both classes of regular and singular spinors; specifying onto the singular class, we discuss features of the corresponding field equations, taking into special account the sub-classes of Weyl and Majorana spinors; for the latter case, we study the condition of charge-conjugation, presenting a detailed introduction to a newly-defined type of spinor, that is the so-called ELKO spinor: at the end of our investigation, we will assess how all elements will concur to lay the bases for a simple proposal of neutrino mass generation.