Bilinear covariants and spinor fields duality in quantum Clifford algebras

DOI10.1063/1.4896395zbMath1302.81113arXiv1409.4550OpenAlexW2058709066MaRDI QIDQ2928113

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Publication date: 6 November 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.4550

zbMATH Keywords

quantum Clifford algebraspinor classification

Mathematics Subject Classification ID

Model quantum field theories (81T10) Spinor and twistor methods applied to problems in quantum theory (81R25) Clifford algebras, spinors (15A66)

Related Items (20)

Could Elko spinor fields induce VSR symmetry in the DKP (meson) algebra? ⋮ Spinor fields, singular structures, charge conjugation, ELKO and neutrino masses ⋮ Most general propagator in quantum field theory ⋮ The Graf product: a Clifford structure framework on the exterior bundle ⋮ Complexifying the spacetime algebra by means of an extra timelike dimension: pin, spin and algebraic spinors ⋮ Self-interacting mass-dimension one fields for any spin ⋮ General dynamics of spinors ⋮ Singular spinors as expansion coefficients of local spin-half fermionic and bosonic fields: on the two-fold Wigner degeneracy ⋮ Fermionic dark matter-photon quantum interaction: a mechanism for darkness ⋮ A demonstration that electroweak theory can violate parity automatically (leptonic case) ⋮ On the bundle of Clifford algebras over the space of quadratic forms ⋮ Torsion gravity for Dirac fields ⋮ The most complete mass-dimension four topological gravity ⋮ New spinor classes on the Graf-Clifford algebra ⋮ Chern-Simons extension of ESK theory ⋮ Weyl and Majorana spinors as pure Goldstone bosons ⋮ Elko and mass dimension one field of spin one-half: Causality and Fermi statistics ⋮ Revealing how different spinors can be: The Lounesto spinor classification ⋮ Angular-radial integrability of Coulomb-like potentials in Dirac equations ⋮ Necessity of tensorial connections for spinorial systems

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