Classification of Singular Spinor Fields and Other Mass Dimension One Fermions

TL;DR

This paper refines the classification of singular spinor fields, providing a complete characterization of potential mass dimension one fermions beyond Elko spinors, aiding in understanding their dynamics.

Contribution

It offers a comprehensive characterization of singular spinor classes using constraint equations, facilitating future classification of spinor dynamics.

Findings

Complete characterization of singular spinor classes

General form of each spinor class provided

Potential for classifying spinor dynamics

Abstract

We investigate the constraint equations of the Lounesto spinor fields classification and show that it can be used to completely characterize all the singular classes, which are potential accommodations for further mass dimension one fermions, beyond the well known Elko spinor fields. This result can be useful for two purposes: besides a great abridgement in the classification of a given spinor field, we provide a general form of each class of spinor fields, which can be used furthermore to search for a general classification of spinors dynamics.