Spontaneous Broken Local Conformal Symmetry and Dark Energy Candidate

TL;DR

This paper explores how spontaneous breaking of local conformal symmetry leads to a massive vector field that could serve as a dark energy candidate, with potential implications for Lorentz symmetry violation.

Contribution

It introduces a model where local conformal symmetry breaking results in a cosmological vector field acting as dark energy, incorporating a Higgs mechanism and non-minimal coupling to gravity.

Findings

Vector field acquires mass via Higgs mechanism

Model suggests vector field as dark energy candidate

Potential for Lorentz symmetry violation

Abstract

The local conformal symmetry is spontaneously broken down to the Local Lorentz invariance symmetry through the approach of nonlinear realization. The resulting effective Lagrangian, in the unitary gauge, describes a cosmological vector field non-minimally coupling to the gravitational field. As a result of the Higgs mechanism, the vector field absorbs the dilaton and becomes massive, but with an independent energy scale. The Proca type vector field can be modelled as dark energy candidate. The possibility that it further triggers Lorentz symmetry violation is also pointed out.