Cosmological Constant, Fine Structure Constant and Beyond

Abstract

In the present work, we consider the cosmological constant model $\Lambda \propto {\alpha }^{-6}$, which is well motivated from three independent approaches. As is well known, the hint of varying fine structure constant $\alpha$ was found in 1998. If $\Lambda \propto {\alpha }^{-6}$ is right, it means that the cosmological constant $\Lambda$ should also be varying. Here, we try to develop a suitable framework to model this varying cosmological constant $\Lambda \propto {\alpha }^{-6}$, in which we view it from an interacting vacuum energy perspective. Then, we consider the observational constraints on these models by using the 293 $\Delta \alpha /\alpha$ data from the absorption systems in the spectra of distant quasars. We find that the model parameters can be tightly constrained to the very narrow ranges of $\mathcal{O}(10^{-5})$ typically. On the other hand, we can also view the varying cosmological constant model $\Lambda \propto {\alpha }^{-6}$ from another perspective, namely it can be equivalent to a model containing "dark energy" and "warm dark matter", but there is no interaction between them. We find that this is also fully consistent with the observational constraints on warm dark matter.

17 pages, 5 figures, revtex4; v2: discussions added, Eur. Phys. J. C in press; v3: published version

References in corpus (73)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Dynamics of dark energy
• The Cosmological Constant and Dark Energy
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Modified Gravity and Cosmology
• f(R) theories
• Cosmological Constant - the Weight of the Vacuum
• The Cosmological Constant
• Exploring the Expansion History of the Universe
• Accelerating Universes with Scaling Dark Matter
• Dark Energy and the Accelerating Universe
• The Hubble Space Telescope Cluster Supernova Survey: V. Improving the Dark Energy Constraints Above z>1 and Building an Early-Type-Hosted Supernova Sample
• Cosmology and fundamental physics with the Euclid satellite
• Further Evidence for Cosmological Evolution of the Fine Structure Constant
• Dark Energy
• A Search for Time Variation of the Fine Structure Constant
• Varying constants, Gravitation and Cosmology
• Evolution of the Scale Factor with a Variable Cosmological Term
• The axis of evil
• Indications of a spatial variation of the fine structure constant
• Probing the Coupling between Dark Components of the Universe
• Comparison of the Legacy and Gold SnIa Dataset Constraints on Dark Energy Models
• Possible evidence for a variable fine structure constant from QSO absorption lines: motivations, analysis and results
• Robust Dark Energy Constraints from Supernovae, Galaxy Clustering, and Three-Year Wilkinson Microwave Anisotropy Probe Observations
• Spatial variation in the fine-structure constant -- new results from VLT/UVES
• Constraints on linear-negative potentials in quintessence and phantom models from recent supernova data
• Dark Matter and Background Light
• Can vacuum decay in our Universe?
• Testing the Cosmic Coincidence Problem and the Nature of Dark Energy
• Future supernovae data and quintessence models
• Categorizing Different Approaches to the Cosmological Constant Problem
• Mapping extreme-scale alignments of quasar polarization vectors
• The Poker Face of the Majoron Dark Matter Model: LUX to keV Line
• (An)isotropy of the Hubble diagram: comparing hemispheres
• Searching for a Cosmological Preferred Axis: Union2 Data Analysis and Comparison with Other Probes
• The Axis of Evil revisited
• $f(T)$ Theories and Varying Fine Structure Constant
• Confirmation of the existence of coherent orientations of quasar polarization vectors on cosmological scales
• Distance Priors from Planck and Dark Energy Constraints from Current Data
• Cosmological Applications of Pade Approximant
• Observational constraints on variable equation of state parameters of dark matter and dark energy after Planck
• Combining rotation curves and gravitational lensing: How to measure the equation of state of dark matter in the galactic halo
• Cosmological bounds on the equation of state of dark matter
• Constraining the Anisotropic Expansion of Universe
• Cosmological Models and Gamma-Ray Bursts Calibrated by Using Pade Method
• Pilgrim Dark Energy
• Probing the anisotropic expansion from supernovae and GRBs in a model-independent way
• Physics of dark energy particles
• Cosmological Constraints on the Modified Entropic Force Model
• Cosmological consequences of a possible $\Lambda$-dark matter interaction
• Searching for a preferred direction with Union2.1 data
• Does the cosmological constant imply the existence of a minimum mass?
• Anisotropy of Cosmic Acceleration
• Is Mass Quantized?
• Revisiting the Cosmological Constraints on the Interacting Dark Energy Models
• Measuring the dark matter equation of state
• Equation of State of Dark Matter after Planck Data
• New Generalizations of Cosmography Inspired by the Pade Approximant
• Axiomatic approach to the cosmological constant
• Constraining the Anisotropy of the Universe from Supernovae and Gamma-ray Bursts
• Cosmological Constraints on Variable Warm Dark Matter
• Varying Alpha
• The minimum mass of a charged spherically symmetric object in $D$ dimensions, its implications for fundamental particles, and holography
• Indistinguishability of Warm Dark Matter, Modified Gravity, and Coupled Cold Dark Matter
• Varying Alpha Driven by the Dirac-Born-Infeld Scalar Field
• $f(T)$ non-linear massive gravity and the cosmic acceleration
• Dark Energy Cosmology with the Alternative Cosmic Microwave Background Data
• Interacting warm dark matter
• Constraints on thawing scalar field models from fundamental constants
• Estimations of the cosmological parameters from the observational variation of the fine structure constant

Cited by in corpus (12)

• Model-Independent Constraints on Lorentz Invariance Violation via the Cosmographic Approach
• Testing the Cosmic Anisotropy with Supernovae Data: Hemisphere Comparison and Dipole Fitting
• Charged compact star model in Einstein-Maxwell-Gauss-Bonnet gravity
• Cosmic Anisotropy and Fast Radio Bursts
• Linearized modified gravity theories and gravitational waves physics in the GBD theory
• Is there a connection between "dark" and "light" physics?
• Observational Constraints on Varying Alpha in $\Lambda (\alpha )$CDM Cosmology
• Cosmological twinlike models with multi scalar fields
• Radial oscillations and gravitational wave echoes of strange stars with nonvanishing lambda
• Cosmological constraints on $\Lambda (\alpha )$CDM models with time-varying fine structure constant
• The QCD mass gap and quark deconfinement scales as mass bounds in strong gravity
• Kinematic Probes of Type-II MMG: Padé Cosmographic Analysis of VCDM