Classification of Singular Spinor Fields and Other Mass Dimension One Fermions

Abstract

We investigate the constraint equations of the Lounesto spinor fields classification and show that it can be used to completely characterize all the singular classes, which are potential accommodations for further mass dimension one fermions, beyond the well known Elko spinor fields. This result can be useful for two purposes: besides a great abridgement in the classification of a given spinor field, we provide a general form of each class of spinor fields, which can be used furthermore to search for a general classification of spinors dynamics.

13 pages

References in corpus (12)

• Very Special Relativity
• The Einstein-Cartan-Elko system
• From Dirac spinor fields to ELKO
• The Einstein-Elko system -- Can dark matter drive inflation?
• Dynamical dispersion relation for ELKO dark spinor fields
• Exotic Dark Spinor Fields
• Very special relativity as relativity of dark matter: the Elko connection
• From Dirac Action to ELKO Action
• Lorentz invariant dark-spinor and inflation
• The quadratic spinor Lagrangian, axial torsion current, and generalizations
• ELKO Spinor Fields: Lagrangians for Gravity derived from Supergravity
• Dark matter, and its darkness

Cited by in corpus (14)

• Revealing how different spinors can be: the Lounesto spinor classification
• Spinor Fields Classification in Arbitrary Dimensions and New Classes of Spinor Fields on 7-Manifolds
• Questing for Algebraic Mass Dimension One Spinor Fields
• Elko and mass dimension one field of spin one half: causality and Fermi statistics
• Further investigation of mass dimension one fermionic duals
• Weyl and Majorana Spinors as Pure Goldstone Bosons
• Constraints on mapping the Lounesto's Classes
• Polar solutions with tensorial connection of the spinor equation
• New fermions in the bulk
• The Heisenberg spinor field classification and its interplay with the Lounesto's classification
• Least-Order Torsion-Gravity for Dirac Fields, and their Non-Linearity terms
• Flag-dipole spinors: On the dual structure derivation and $\mathcal{C}$, $\mathcal{P}$ and $\mathcal{T}$ symmetries
• Necessity of Tensorial Connections for Spinorial Systems
• Angular-Radial Integrability of Coulomb-like Potentials in Dirac Equations