Spacetime variation of $\alpha$ and the CMB power spectra after the recombination

Abstract

The possible variation of the fine structure constant may be due to the non-minimal coupling of the electromagnetic field to a light scalar field which can be the candidate of dark energy. Its dynamical nature renders the fine structure constant varies with time as well as space. In this paper we point out the spatial fluctuation of the fine structure will modify the power spectra of the temperature and the polarization of the cosmic microwave background. We show explicitly that the fluctuations of the coupled scalar field generate new temperature anisotropies at the linear order and induce a $B$ mode to the polarization at higher order in general.

7 pages; references added, typos corrected

References in corpus (9)

• Searching for CPT Violation with Cosmic Microwave Background Data from WMAP and BOOMERANG
• Cosmological CPT violating effect on CMB polarization
• Reconstructing the dark energy equation of state with varying couplings
• Early Universe Constraints on Time Variation of Fundamental Constants
• Cosmological CPT Violation, Baryon/Leptogenesis and CMB Polarization
• CMB constraints on the fine structure constant
• Multidimensional cosmological models: cosmological and astrophysical implications and constraints
• Varying-Alpha Cosmologies with Potentials
• Dark Energy and the MSSM

Cited by in corpus (2)

• $f(T)$ Theories and Varying Fine Structure Constant
• The minimally extended Varying Speed of Light (meVSL)