A new class of mass dimension one fermions

TL;DR

This paper introduces a novel class of mass dimension one fermions, constructed from a new quantum field, which are local, stable, and potentially serve as dark matter candidates with strong self-interactions.

Contribution

It presents a new mass dimension one fermionic field derived from the square root of the identity matrix, demonstrating its locality and stability, and proposing it as a dark matter candidate.

Findings

The fermionic field is local and has bounded energy from below.

The field exhibits unsuppressed quartic self-interactions.

It is a first-principle candidate for dark matter.

Abstract

These are notes on the square root of $4\times4$ identity matrix and associated quantum fields of spin one half. The method is illustrated by constructing a new mass dimension one fermionic field. The presented field is local. The field energy is bounded from below. It is argued that these fermions are a first-principle candidate for dark matter with an unsuppressed quartic self interaction.