Unveiling a spinor field classification with non-Abelian gauge symmetries
arXiv:1711.07873 · doi:10.1016/j.physletb.2018.03.029
Abstract
A spinor fields classification with non-Abelian gauge symmetries is introduced, generalizing the the U(1) gauge symmetries-based Lounesto's classification. Here, a more general classification, contrary to the Lounesto's one, encompasses spinor multiplets, corresponding to non-Abelian gauge fields. The particular case of SU(2) gauge symmetry, encompassing electroweak and electromagnetic conserved charges, is then implemented by a non-Abelian spinor classification, now involving 14 mixed classes of spinor doublets. A richer flagpole, dipole, and flag-dipole structure naturally descends from this general classification. The Lounesto's classification of spinors is shown to arise as a Pauli's singlet, into this more general classification.
12 pages
References in corpus (6)
- Classification of Singular Spinor Fields and Other Mass Dimension One Fermions
- Revealing how different spinors can be: the Lounesto spinor classification
- Questing for Algebraic Mass Dimension One Spinor Fields
- A generally-relativistic gauge classification of the Dirac fields
- General Dynamics of Spinors
- Quantum tomography for Dirac spinors
Cited by in corpus (7)
- Further investigation of mass dimension one fermionic duals
- The emergence of flagpole and flag-dipole fermions in fluid/gravity correspondence
- Constraints on mapping the Lounesto's Classes
- The Heisenberg spinor field classification and its interplay with the Lounesto's classification
- Wigner multiplets in QFT: from Wigner degeneracy to Elko fields
- Polar analysis of the Dirac equation through dimensions
- Additional fermionic fields onto parallelizable 7-spheres