ELKO in Polar Form

Abstract

In this paper, we consider the theory of ELKO written in their polar form, in which the spinorial components are converted into products of a real module times a complex unitary phase while the covariance under spin transformations is still maintained: we derive an intriguing conclusion about the structure of ELKO in their polar decomposition when seen from the perspective of a new type of adjunction procedure defined for ELKO themselves. General comments will be given in the end.

8 pages

References in corpus (8)

• From Dirac spinor fields to ELKO
• Classification of Singular Spinor Fields and Other Mass Dimension One Fermions
• Dynamical dispersion relation for ELKO dark spinor fields
• Exotic Dark Spinor Fields
• Bilinear Covariants and Spinor Fields Duality in Quantum Clifford Algebras
• From Dirac Action to ELKO Action
• Revealing how different spinors can be: the Lounesto spinor classification
• Questing for Algebraic Mass Dimension One Spinor Fields

Cited by in corpus (9)

• Weyl and Majorana Spinors as Pure Goldstone Bosons
• On Wigner Degeneracy in Elko theory: Hermiticity and Dark Matter
• Spinorial discrete symmetries and adjoint structures
• Revisiting Takahashi's inversion theorem in discrete symmetry-based dual frameworks
• Elko and Mass Dimension One Fermions: Editorial
• Singular spinors as expansion coefficients of local spin-half fermionic and bosonic fields: On the two-fold Wigner degeneracy
• Spinor Adjoints, Gauge Invariance and a new Road to Sterile Neutrinos
• Necessity of Tensorial Connections for Spinorial Systems
• Unraveling the Physical Meaning Behind Elko's Dual structure