ELKO and Dirac spinors seen from torsion

2014/07/31 by Luca Fabbri, Stefano Vignolo · 1 citation
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Algebraic number #Character (mathematics) #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Dirac (video compression format) #Dirac algebra #Dirac equation #Dirac spinor #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Spinor #Theoretical physics #Torsion (gastropod) #gr-qc

paper · pdf · doi:10.1142/s0218271814440015

published as Int.J.Mod.Phys.D23:1444001(2014) · 11 pages

arxiv created 2014/09/01 · openalex publication_date 2014/09/04 · arxiv updated 2014/09/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In this paper, the recently-introduced ELKO and the well-known Dirac spinor fields will be compared. However, instead of comparing them under the point of view of their algebraic properties or their dynamical features, we will proceed by investigating the analogies and similarities in terms of their geometrical character viewed from the perspective of torsion. The paper will be concluded by sketching some consequences for the application to cosmology and particle physics.

Citations

• General relativity with spin and torsion: Foundations and prospects
• ELKO, Flagpole and Flag-Dipole Spinor Fields, and the Instanton Hopf Fibration
• Dark spinors with torsion in cosmology
• Renormalization of higher-derivative quantum gravity
• From Dirac spinor fields to eigenspinoren des ladungskonjugationsoperators

Cited by

• From inflation to recent cosmic acceleration: the fermionic Elko field driving the evolution of the universe