A discussion on the most general torsion-gravity with electrodynamics for Dirac spinor matter fields

Abstract

We consider the most general torsional completion of gravitation together with electrodynamics for the Dirac spinorial material fields, and we show that consistency arguments constrain torsion to be completely antisymmetric and the dynamics to be parity-invariant and described by actions that are either least-order derivative or renormalizable.

7 pages

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• On the Mathematics of Coframe Formalism and Einstein-Cartan Theory -- A Brief Review
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• Spinor Fields, Singular Structures, Charge Conjugation, ELKO and Neutrino Masses
• Spinor fields in $f(\mathcal{Q})$-gravity
• Torsion Axial Vector and Yvon-Takabayashi Angle: Zitterbewegung, Chirality and all that
• Covariant spin-parity decomposition of the Torsion and Path Integrals
• Restrictions on torsion-spinor field theory
• Mimetic-Metric-Torsion with induced Axial mode and Phantom barrier crossing
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• Search for manifestations of spin-torsion coupling
• Square-torsion gravity, dark matter halos and the baryonic Tully-Fisher relation
• A geometrical assessment of spinorial energy conditions
• Torsion Gravity for Dirac Particles
• Non-Causal Propagation for Higher-Order Interactions of Torsion with Spinor Fields
• Spin connection as Lorentz gauge field: propagating torsion
• Re-normalizable Chern-Simons Extension of Propagating Torsion Theory
• A note on singularity avoidance in fourth-order gravity
• Chern-Simons Extension of ESK Theory