Questing for Algebraic Mass Dimension One Spinor Fields

Abstract

This work deals with new classes of spinors of mass dimension one in Minkowski spacetime. In order to accomplish it, the Lounesto classification scheme and the inversion theorem are going to be used. The algebraic framework shall be revisited by explicating the central point performed by the Fierz aggregate. Then the spinor classification is generalized in order to encompass the new mass dimension one spinors. The spinor operator is shown to play a prominent role to engender the new mass dimension one spinors, accordingly.

7 pages, final version to appear in Eur. Phys. J. C

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Cited by in corpus (32)

• Revealing how different spinors can be: the Lounesto spinor classification
• On the bilinear covariants associated to mass dimension one spinors
• A generally-relativistic gauge classification of the Dirac fields
• Flag-dipole and flagpole spinors fluid flows in Kerr spacetimes
• A framework to a mass dimension one fermionic sigma model
• On the Spinor Representation
• Torsion Gravity for Dirac Fields
• General Dynamics of Spinors
• Unveiling Mapping Structures of Spinor Duals
• Constraints on mapping the Lounesto's Classes
• On the generalized spinor classification: Beyond the Lounesto's Classification
• Exotic Elko on String-Like Defects in Six Dimensions
• Polar Form of Spinor Fields from Regular to Singular: the Flag-Dipoles
• Opening the Pandora's box of quantum spinor fields
• Spinor Fields, Singular Structures, Charge Conjugation, ELKO and Neutrino Masses
• Unveiling a spinor field classification with non-Abelian gauge symmetries
• Geometry, Zitterbewegung, Quantization
• ELKO in Polar Form
• Torsion Axial Vector and Yvon-Takabayashi Angle: Zitterbewegung, Chirality and all that
• Spinorial discrete symmetries and adjoint structures
• The role of singular spinor fields in a torsional gravity, Lorentz-violating, framework
• Non-Trivial Effects of Sourceless Forces for Spinors: Toward an Aharonov-Bohm gravitational effect?
• The Heisenberg spinor field classification and its interplay with the Lounesto's classification
• Revisiting Takahashi's inversion theorem in discrete symmetry-based dual frameworks
• Hearing the shape of inequivalent spin structures and exotic Dirac operators
• New fermions in the bulk
• The Tensorial Connections
• Essential Fierz identities for a fermionic field
• Additional fermionic fields onto parallelizable 7-spheres
• A note on hidden classes in spinor classification
• New constrained generalized Killing spinor field classes in warped flux compactifications
• Holographic information measures for spin-$3/2$ $\Delta$ baryons in AdS/QCD