Hermitian formulation for mass dimension one fermions: Flat and curved space-times

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Hauptverfasser: de Gracia, Gabriel Brandão, Rogerio, Rodolfo José Bueno
Format: Preprint
Veröffentlicht: 2025
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author de Gracia, Gabriel Brandão
Rogerio, Rodolfo José Bueno
author_facet de Gracia, Gabriel Brandão
Rogerio, Rodolfo José Bueno
contents Throughout this paper, we conduct our discussion by a partial review of Elko's Hermiticity, introducing the Hermitian formulation for interacting mass dimension one fermions based on Elko spinor. It includes pivotal observations about renormalizability and the study of some allowed interactions. Beyond these points, since dark-matter phenomenology is mainly connected to gravitation, we introduce original remarks on how the Hermitian prescription can be readily generalized to include curved space-time, considering the very definition of the Elko spinor structure. We establish the Elko dual as arising from the path-integral formulation of a more fundamental structure. It enables one to include a curved background space-time and also quantum gravity into our investigations.
format Preprint
id arxiv_https___arxiv_org_abs_2511_13951
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Hermitian formulation for mass dimension one fermions: Flat and curved space-times
de Gracia, Gabriel Brandão
Rogerio, Rodolfo José Bueno
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Throughout this paper, we conduct our discussion by a partial review of Elko's Hermiticity, introducing the Hermitian formulation for interacting mass dimension one fermions based on Elko spinor. It includes pivotal observations about renormalizability and the study of some allowed interactions. Beyond these points, since dark-matter phenomenology is mainly connected to gravitation, we introduce original remarks on how the Hermitian prescription can be readily generalized to include curved space-time, considering the very definition of the Elko spinor structure. We establish the Elko dual as arising from the path-integral formulation of a more fundamental structure. It enables one to include a curved background space-time and also quantum gravity into our investigations.
title Hermitian formulation for mass dimension one fermions: Flat and curved space-times
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2511.13951