The role of singular spinor fields in a torsional gravity, Lorentz-violating, framework

Abstract

In this work, we consider a generalization of quantum electrodynamics including Lorentz violation and torsional-gravity, in the context of general spinor fields as classified in the Lounesto scheme. Singular spinor fields will be shown to be less sensitive to the Lorentz violation, as far as couplings between the spinor bilinear covariants and torsion are regarded. In addition, we prove that flagpole spinor fields do not admit minimal coupling to the torsion. In general, mass dimension four couplings are deeply affected when singular flagpole spinors are considered, instead of the usual Dirac spinors. We also construct a mapping between spinors in the covariant framework and spinors in Lorentz symmetry breaking scenarios, showing how one may transliterate spinors of different classes between the two cases. Specific examples concerning the mapping of Dirac spinor fields in Lorentz violating scenarios into flagpole and flag-dipole spinors with full Lorentz invariance (including the cases of Weyl and Majorana spinors) are worked out.

Published version, 20 pages. arXiv admin note: text overlap with arXiv:hep-th/0312310 by other authors

References in corpus (15)

• Constraints on Torsion from Lorentz Violation
• Classification of Singular Spinor Fields and Other Mass Dimension One Fermions
• Dynamical dispersion relation for ELKO dark spinor fields
• Lorentz violation in the linearized gravity
• Hawking Radiation from Elko Particles Tunnelling across Black Strings Horizon
• Lorentz violation bounds on Bhabha scattering
• Spinor Fields Classification in Arbitrary Dimensions and New Classes of Spinor Fields on 7-Manifolds
• A new approach on the stability analysis in ELKO cosmology
• Questing for Algebraic Mass Dimension One Spinor Fields
• Lorentz-violating effects on topological defects generated by two real scalar fields
• Dirac fields in f(R)-gravity with torsion
• A generally-relativistic gauge classification of the Dirac fields
• On the ambiguities in the effective action in Lorentz-violating gravity
• Lorentz-violating dilatations in the momentum space and some extensions on non-linear actions of Lorentz algebra-preserving systems
• The Square of the Dirac and spin-Dirac Operators on a Riemann-Cartan Space(time)

Cited by in corpus (6)

• Radiative corrections and Lorentz violation
• On the generalized spinor classification: Beyond the Lounesto's Classification
• Singular spinors and their connection
• Flag-dipole spinors: On the dual structure derivation and $\mathcal{C}$, $\mathcal{P}$ and $\mathcal{T}$ symmetries
• From Dipole spinors to a new class of mass dimension one fermions
• Asymmetric particle-antiparticle Dirac equation: first quantization