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arXiv · gr-qc/0312114

Scalar Gravity and Higgs Mechanism

Chi-Yi Chen·Kang Li·You-Gen Shen
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Abstract

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.

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Chi-Yi Chen, Kang Li, You-Gen Shen. 2006-11-17. Scalar Gravity and Higgs Mechanism. https://doi.org/10.1007/s10773-005-4782-y

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