1205.5386 (Luca Fabbri)

Completely Antisymmetric Torsion in Conformal Gravitation with
Electrodynamics for Dirac Spinors    [PDF]

Luca Fabbri

In this paper we are going to consider a completely antisymmetric torsion to build metric-compatible connections in conformal gravity, in which then gauge potentials are added; this establishes a geometric background that will be filled with Dirac spinors: such kinematic construction shall be endowed with a system of field equations. The resulting dynamics will be worked out to yield the system of field equations in which torsional effects are converted into spinorial self-interactions: in particular the massless spinors shall display self-interactions of a specific form that enables them to have most of the features they have in the non-conformal theory but with the additional character of renormalizability. Particular behaviours and interactions will be investigated. Further remarks shall be sketched.

View original: http://arxiv.org/abs/1205.5386