Quantum fields, dark matter and non-standard Wigner classes

TL;DR

This paper explores the Elko quantum field as a dark matter candidate and proposes investigating quantum fields based on non-standard Wigner classes of the Poincaré group for new insights.

Contribution

It introduces the idea of using non-standard Wigner classes to interpret quantum fields like Elko, expanding the framework for dark matter models.

Findings

Elko field is a potential dark matter candidate.

Standard Weinberg quantum field interpretation faces challenges with Elko.

Non-standard Wigner classes may offer a new approach for quantum field theories.

Abstract

The Elko field of Ahluwalia and Grumiller is a quantum field for massive spin-1/2 particles. It has been suggested as a candidate for dark matter. We discuss our attempts to interpret the Elko field as a quantum field in the sense of Weinberg. Our work suggests that one should investigate quantum fields based on representations of the full Poincar\'e group which belong to one of the non-standard Wigner classes.