Geometry, Zitterbewegung, Quantization

Abstract

In the most general geometric background, we study Dirac spinor fields with particular emphasis given to the explicit form of their gauge momentum and the way in which this can be inverted so to give the expression of the corresponding velocity; we study how zitterbewegung affects the motion of particles, focusing on the internal dynamics involving the chiral parts; we discuss the connections to field quantization, sketching in what way anomalous terms may be gotten eventually.

arXiv comment7 pages

References in corpus (14)

• ELKO, flagpole and flag-dipole spinor fields, and the instanton Hopf fibration
• Flag-Dipole Spinor Fields in ESK Gravities
• Classification of Singular Spinor Fields and Other Mass Dimension One Fermions
• Unfolding Physics from the Algebraic Classification of Spinor Fields
• VSR symmetries in the DKP algebra: the interplay between Dirac and Elko spinor fields
• Kinematics and hydrodynamics of spinning particles
• Bilinear Covariants and Spinor Fields Duality in Quantum Clifford Algebras
• Questing for Algebraic Mass Dimension One Spinor Fields
• A generally-relativistic gauge classification of the Dirac fields
• Flag-dipole and flagpole spinors fluid flows in Kerr spacetimes
• Torsion Gravity for Dirac Fields
• Covariant Inertial Forces for Spinors
• General Dynamics of Spinors
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Cited by in corpus (9)

• Spinors in Polar Form
• Dirac Theory in Hydrodynamic Form
• Relativistic dynamical inversion in manifestly covariant form
• Non-Trivial Effects of Sourceless Forces for Spinors: Toward an Aharonov-Bohm gravitational effect?
• Re-normalizable Chern-Simons Extension of Propagating Torsion Theory
• Decoherence-Free Entropic Gravity for Dirac Fermion
• Cross section for Bhabha and Compton scattering beyond quantum field theory
• Symmetry Breaking of Universal type and Particular types
• The Most General Propagator in Quantum Field Theory