On a local mass dimension one Fermi field of spin one-half and the theoretical crevice that allows it

Abstract

Since the 1928 seminal work of Dirac, and its subsequent development by Weinberg, a view is held that there is a unique Fermi field of spin one-half. It is endowed with mass dimension three-half. Combined, these characteristics profoundly affect the phenomenology of the high energy physics, astrophysics, and cosmology. We here present a counter example by providing a local, mass dimension one, Fermi field of spin one-half. The theory, inter alia, thus allows dimensionless quartic self interaction for the new fermions, and its only other dimensionless coupling is quadratic in the new fermions and in the standard-model scalar field. For these reasons, the immediate application of the new theory resides in the dark-matter sector of physical reality. The lowest-mass associated new particle may leave its unique signature at the Large Hadron Collider. We discuss in detail the theoretical crevice that allows the existence of the new quantum field.

This paper is withdrawn due to a crucial error in Eq.(102). The reader is referred to "A story of phases, duals, and adjoints for a local Lorentz covariant theory of mass dimension one fermions" arXiv: 1601.03188 [hep-th] for the latest status of this subject

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Cited by in corpus (13)

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• An Identification of the Dirac Operator with the Parity Operator
• VSR symmetries in the DKP algebra: the interplay between Dirac and Elko spinor fields
• $\Lambda (t)$ cosmology induced by a slowly varying Elko field
• Spinor Fields Classification in Arbitrary Dimensions and New Classes of Spinor Fields on 7-Manifolds
• Constraints on mass dimension one fermionic dark matter from the Yukawa interaction
• A new approach on the stability analysis in ELKO cosmology
• From inflation to recent cosmic acceleration: The fermionic Elko field driving the evolution of the universe
• Super-inflation and generation of first order vector perturbations in ELKO
• The connection between Dirac dynamic and parity symmetry
• Higher Dimensional Elko Theory
• Symmetries of Elko and massive vector fields
• The Lagrangian for mass dimension one fermionic dark matter