The local vicinity of spins sum for certain mass dimension one spinors

TL;DR

This paper investigates a mathematical method to eliminate Lorentz symmetry breaking in the spin sums of certain mass dimension one spinors, enhancing the theoretical consistency of Elko spinor fields.

Contribution

It provides a rigorous framework for a mathematical device that removes Lorentz breaking terms in the spin sums of Elko spinors.

Findings

The mathematical device successfully eliminates Lorentz symmetry breaking.

The framework clarifies the dual structure redefinition.

Improves the theoretical consistency of Elko spinor models.

Abstract

It is well known that the usual formulation of Elko spinor fields leads to a subtle Lorentz symmetry break encoded in the spin sums. Recently it was proposed a redefinition in the dual structure, along with a given mathematical device, which eliminate the Lorentz breaking term in the spin sums. In this work we delve into the analysis of this mathematical device providing a solid framework to the used method.