Conformal Gravity with Electrodynamics for Fermion Fields and their Symmetry Breaking Mechanism

TL;DR

This paper develops a conformal gravity framework incorporating electrodynamics and fermion fields with torsion, leading to self-interactions, dynamical mass generation, and addressing cosmological constant issues.

Contribution

It introduces a novel conformal gravity model with axial torsion and gauge fields, demonstrating torsion-induced fermion self-interactions and dynamical mechanisms for mass and cosmological constants.

Findings

Fermions exhibit specific self-interactions in the conformal setting.

Mass and cosmological constants are generated dynamically.

The model addresses cosmological constant and coincidence problems.

Abstract

In this paper we consider an axial torsion to build metric-compatible connections in conformal gravity, with gauge potentials; the geometric background is filled with Dirac spinors: scalar fields with suitable potentials are added eventually. The system of field equations is worked out to have torsional effects converted into spinorial self-interactions: the massless spinors display self-interactions of a specific form that gives them the features they have in the non-conformal theory but with the additional character of renormalizability, and the mechanisms of generation of mass and cosmological constants become dynamical. As a final step we will address the cosmological constant and coincidence problems.