Torsion Gravity for Dirac Fields

Abstract

In this article we will take into account the most complete back-ground with torsion and curvature, providing the most exhaustive coupling for the Dirac field: we will discuss the integrability of the interaction of the matter field and the reduction of the matter field equations.

7 pages

References in corpus (7)

• Classification of Singular Spinor Fields and Other Mass Dimension One Fermions
• 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
• Dirac fields in f(R)-gravity with torsion
• Renormalizability of the Dirac Equation in Torsion-Gravity with Non-Minimal Coupling
• Continuity of the torsionless limit as a selection rule for gravity theories with torsion

Cited by in corpus (27)

• Evading Weinberg's no-go theorem to construct mass dimension one fermions: Constructing darkness
• Spinors in Polar Form
• Covariant Inertial Forces for Spinors
• General Dynamics of Spinors
• Weyl and Majorana Spinors as Pure Goldstone Bosons
• Polar Form of Spinor Fields from Regular to Singular: the Flag-Dipoles
• Analytic Solutions to Coherent Control of the Dirac Equation
• Fundamental Theory of Torsion Gravity
• Polar solutions with tensorial connection of the spinor equation
• Geometry, Zitterbewegung, Quantization
• ELKO in Polar Form
• 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?
• A Square-Integrable Spinor Solution to Non-Interacting Dirac Equations
• Torsion Gravity for Dirac Particles
• A geometrical assessment of spinorial energy conditions
• The Tensorial Connections
• Re-normalizable Chern-Simons Extension of Propagating Torsion Theory
• The most complete mass-dimension four topological gravity
• Dirac spinors and their application to Bianchi-I space-times in 5 dimensions
• Necessity of Tensorial Connections for Spinorial Systems
• Cross section for Bhabha and Compton scattering beyond quantum field theory
• Non-existence of rest-frame spin-eigenstate spinors in their own electrodynamics
• Polar analysis of the Dirac equation through dimensions
• Angular-Radial Integrability of Coulomb-like Potentials in Dirac Equations
• The Most General Propagator in Quantum Field Theory
• Chern-Simons Extension of ESK Theory