General Dynamics of Spinors
arXiv:1707.03270 · doi:10.1007/s00006-017-0816-9
Abstract
In this paper, we consider a general twisted-curved space-time hosting Dirac spinors and we take into account the Lorentz covariant polar decomposition of the Dirac spinor field: the corresponding decomposition of the Dirac spinor field equation leads to a set of field equations that are real and where spinorial components have disappeared while still maintaining Lorentz covariance. We will see that the Dirac spinor will contain two real scalar degrees of freedom, the module and the so-called Yvon-Takabayashi angle, and we will display their field equations. This will permit us to study the coupling of curvature and torsion respectively to the module and the YT angle.
9 pages
References in corpus (7)
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Cited by in corpus (19)
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- Unveiling a spinor field classification with non-Abelian gauge symmetries
- Geometry, Zitterbewegung, Quantization
- ELKO in Polar Form
- Some Remarks on dual helicity flag-dipole spinors
- Torsion Axial Vector and Yvon-Takabayashi Angle: Zitterbewegung, Chirality and all that
- Non-Trivial Effects of Sourceless Forces for Spinors: Toward an Aharonov-Bohm gravitational effect?
- The Tensorial Connections
- Essential Fierz identities for a fermionic field
- The most complete mass-dimension four topological gravity
- Re-normalizable Chern-Simons Extension of Propagating Torsion Theory
- Cross section for Bhabha and Compton scattering beyond quantum field theory
- Non-existence of rest-frame spin-eigenstate spinors in their own electrodynamics
- Chern-Simons Extension of ESK Theory
- Angular-Radial Integrability of Coulomb-like Potentials in Dirac Equations