Regular spinors and fermionic fields

TL;DR

This paper explores the connection between fermionic quantum fields and a specific subclass of Type-2 spinors in the Lounesto classification, discussing theoretical implications and physical outcomes.

Contribution

It establishes a direct link between local fermionic quantum fields and Type-2 spinors, clarifying their role within Lorentz covariant theories.

Findings

Fermionic fields are associated with Type-2 spinors.

Discussion of physical implications for other spinor classes.

Insights into the structure of fermionic quantum fields.

Abstract

Bearing in mind the Lounesto spinor classification, we connect the expansion coefficients of well behaved fermionic quantum field, i.e., a local field within a full Lorentz covariant theory, with and only with a given subclass of Type-2 spinors according to Lounesto. We comment on theoretical possibilities as well as physical outputs for the other cases.