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.

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

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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