Observational Constraints on Varying Alpha in $\Lambda (\alpha )$CDM Cosmology

Abstract

In this work, we consider the so-called $\Lambda (\alpha )$CDM cosmology with $\Lambda \propto {\alpha }^{-6}$ while the fine-structure "constant" $\alpha$ is varying. In this scenario, the accelerated expansion of the universe is driven by the cosmological "constant" $\Lambda$ (equivalently the vacuum energy), and the varying $\alpha$ is driven by a subdominant scalar field $\varphi$ coupling with the electromagnetic field. The observational constraints on the varying $\alpha$ and $\Lambda \propto {\alpha }^{-6}$ models with various couplings $B_F(\varphi )$ between the subdominant scalar field $\varphi$ and the electromagnetic field are considered.

13 pages, 5 figures, 1 table, revtex4; v2: appendix removed, Commun. Theor. Phys. in press; v3: published version. arXiv admin note: text overlap with arXiv:1605.04571

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