Flag-Dipole Spinor Fields in ESK Gravities

Abstract

We consider the Riemann-Cartan geometry as a basis for the Einstein-Sciama-Kibble theory coupled to spinor fields: we focus on $f(R)$ and conformal gravities, regarding the flag-dipole spinor fields, type-(4) spinor fields under the Lounesto classification. We study such theories in specific cases given for instance by cosmological scenarios: we find that in such background the Dirac equation admits solutions that are not Dirac spinor fields, but in fact the aforementioned flag-dipoles ones. These solutions are important from a theoretical perspective, as they evince that spinor fields are not necessarily determined by their dynamics, but also a discussion on their structural (algebraic) properties must be carried off. Furthermore, the phenomenological point of view is shown to be also relevant, since for isotropic Universes they circumvent the question whether spinor fields do undergo the Cosmological Principle.

18 pages, improved version

References in corpus (8)

• f(R) Gravity with Torsion: The Metric-Affine Approach
• Unfolding Physics from the Algebraic Classification of Spinor Fields
• Exotic Dark Spinor Fields
• The quadratic spinor Lagrangian, axial torsion current, and generalizations
• f(R) gravity with torsion: a geometric approach within the J-bundles framework
• ELKO Spinor Fields: Lagrangians for Gravity derived from Supergravity
• Dirac fields in f(R)-gravity with torsion
• Helicity -- from Clifford to Graphene

Cited by in corpus (55)

• Classification of Singular Spinor Fields and Other Mass Dimension One Fermions
• The theory of local mass dimension one fermions of spin one half
• VSR symmetries in the DKP algebra: the interplay between Dirac and Elko spinor fields
• An Identification of the Dirac Operator with the Parity Operator
• Bilinear Covariants and Spinor Fields Duality in Quantum Clifford Algebras
• Revealing how different spinors can be: the Lounesto spinor classification
• New Spinor Fields on Lorentzian 7-Manifolds
• Spinor Fields Classification in Arbitrary Dimensions and New Classes of Spinor Fields on 7-Manifolds
• Questing for Algebraic Mass Dimension One Spinor Fields
• Constraints on mass dimension one fermionic dark matter from the Yukawa interaction
• A generally-relativistic gauge classification of the Dirac fields
• ELKO and Dirac Spinors seen from Torsion
• Elko and mass dimension one field of spin one half: causality and Fermi statistics
• Flag-dipole and flagpole spinors fluid flows in Kerr spacetimes
• On the Spinor Representation
• Torsion Gravity for Dirac Fields
• Further investigation of mass dimension one fermionic duals
• General Dynamics of Spinors
• The emergence of flagpole and flag-dipole fermions in fluid/gravity correspondence
• Weyl and Majorana Spinors as Pure Goldstone Bosons
• Exact solutions for Weyl fermions with gravity
• Polar Form of Spinor Fields from Regular to Singular: the Flag-Dipoles
• Opening the Pandora's box of quantum spinor fields
• Spin-half mass dimension one fermions and their higher-spin generalizations
• Critical exact solutions for self-gravitating Dirac fields
• Spinor Fields, Singular Structures, Charge Conjugation, ELKO and Neutrino Masses
• Fermionic degeneracy and non-local contributions in flag-dipole spinors and mass dimension one fermions
• Dark Spinors Hawking Radiation in String Theory Black Holes
• Unveiling a spinor field classification with non-Abelian gauge symmetries
• Geometry, Zitterbewegung, Quantization
• ELKO in Polar Form
• Symmetries and unitary interactions of mass dimension one fermionic dark matter
• Some Remarks on dual helicity flag-dipole spinors
• Mass dimension one fermions and their gravitational interaction
• Torsion Axial Vector and Yvon-Takabayashi Angle: Zitterbewegung, Chirality and all that
• Field-theoretical construction of currents and superpotentials in Lovelock gravity
• The role of singular spinor fields in a torsional gravity, Lorentz-violating, framework
• Least-Order Torsion-Gravity for Dirac Fields, and their Non-Linearity terms
• Singular spinors and their connection
• The Heisenberg spinor field classification and its interplay with the Lounesto's classification
• New fermions in the bulk
• Flag-dipole spinors: On the dual structure derivation and $\mathcal{C}$, $\mathcal{P}$ and $\mathcal{T}$ symmetries
• Axially-Symmetric Exact Solutions for Flagpole Fermions with Gravity
• Type-4 spinors: transmuting from Elko to single-helicity spinors
• The Tensorial Connections
• The most complete mass-dimension four topological gravity
• The Restricted Inomata-McKinley spinor-plane, homotopic deformations and the Lounesto classification
• Re-normalizable Chern-Simons Extension of Propagating Torsion Theory
• Geometry of spinors: doubly-chiral plane-wave expansion
• Additional fermionic fields onto parallelizable 7-spheres
• Wigner multiplets in QFT: from Wigner degeneracy to Elko fields
• Necessity of Tensorial Connections for Spinorial Systems
• Chern-Simons Extension of ESK Theory
• New constrained generalized Killing spinor field classes in warped flux compactifications
• The Most General Propagator in Quantum Field Theory