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

TL;DR

This paper explores the most general torsion-inclusive gravity coupled with electrodynamics for Dirac spinors, showing that physical consistency restricts torsion to be antisymmetric and the dynamics to be parity-invariant with specific action forms.

Contribution

It demonstrates that the most general torsion-gravity framework compatible with Dirac fields must have antisymmetric torsion and parity-invariant dynamics, with actions limited to least-order or renormalizable forms.

Findings

Torsion must be completely antisymmetric for consistency.

Dynamics are constrained to be parity-invariant.

Allowed actions are either least-order derivative or renormalizable.

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.