A hint towards mass dimension one Flag-dipole spinors

Abstract

In this report we advance in exploring further details concerning the formal aspects of the construction of a Flag-dipole spinor. We report a (re-)definition of the dual structure which provide a Lorentz invariant and non-null norm, ensuring a local theory. With the new dual structure at hands, we look towards define relevant physical amounts, e.g., spin sums and quantum field operator. As we will see, the Flag-dipole and the Elko's theory are quite familar. In this vein, it is possible, via a matrix transformation, to write Flag-dipole spinors in terms of Elko spinor, evincing that both spinors are physically related and some physical amounts may be stated as equivalent.

arXiv comment11 pages, 0 figures

References in corpus (11)

• The Moore-Penrose Pseudoinverse. A Tutorial Review of the Theory
• Spin half fermions with mass dimension one: theory, phenomenology, and dark matter
• Where are ELKO Spinor Fields in Lounesto Spinor Field Classification?
• ELKO, flagpole and flag-dipole spinor fields, and the instanton Hopf fibration
• The theory of local mass dimension one fermions of spin one half
• From Dirac Action to ELKO Action
• The local vicinity of spins sum for certain mass dimension one spinors
• The connection between Dirac dynamic and parity symmetry
• Constraints on mapping the Lounesto's Classes
• Non-standard Dirac adjoint spinor: The emergence of a new dual
• Some Remarks on dual helicity flag-dipole spinors

Cited by in corpus (12)

• Unveiling Mapping Structures of Spinor Duals
• Constraints on mapping the Lounesto's Classes
• On the generalized spinor classification: Beyond the Lounesto's Classification
• Polar Form of Spinor Fields from Regular to Singular: the Flag-Dipoles
• Fermionic degeneracy and non-local contributions in flag-dipole spinors and mass dimension one fermions
• Hearing the shape of inequivalent spin structures and exotic Dirac operators
• Singular spinors and their connection
• Flag-dipole spinors: On the dual structure derivation and $\mathcal{C}$, $\mathcal{P}$ and $\mathcal{T}$ symmetries
• Singular spinors as expansion coefficients of local spin-half fermionic and bosonic fields: On the two-fold Wigner degeneracy
• Spin-half bosonic classification
• Spinorial structures, discrete symmetries and some consequences
• The Most General Propagator in Quantum Field Theory