Scalar Gravity and Higgs Mechanism

The role that the auxiliary scalar field $ϕ$ played in Brans-Dicke cosmology is discussed. If a constant vacuum energy is assumed to be the origin of dark energy, then the corresponding density parameter would be a quantity varying with $ϕ$; and almost all of the fundamental components of our universe can be unified into the dynamical equation for $ϕ$. As a generalization of Brans-Dicke theory, we propose a new gravity theory with a complex scalar field $ϕ$ which is coupled to the cosmological curvature scalar. Through such a coupling, the Higgs mechanism is naturally incorporated into the evolution of the universe, and a running density of the field vacuum energy is obtained which may release the particle standard model from the rigorous cosmological constant problem in some sense. Our model predicts a running mass scale of the fundamental particles in which the gauge symmetry breaks spontaneously. The running speed of the mass scale in our case could survive all existing experiments.

No reviews yet.

No comments yet.