Generalized holographic dark energy and the IR cutoff problem

Abstract

We consider a holographic dark energy model, in which both the CC energy density rho_Lambda and the Newton constant G_N are varying quantities, to study the problem of setting an effective field-theory IR cutoff. Assuming that ordinary matter scales canonically, we show that the continuity equation univocally fixes the IR cutoff, provided a law of variation for either rho_Lambda or G_N is known. Previous considerations on holographic dark energy disfavor the Hubble parameter as a candidate for the IR cutoff (for spatially flat universes), since in this case the ratio of dark energy to dark matter is not allowed to vary, thus hindering a deceleration era of the universe for the redshifts z>=0.5. On the other hand, the future event horizon as a choice for the IR cutoff is being favored in the literature, although the `coincidence problem' usually cannot be addressed in that case. We extend considerations to spatially curved universes, and show that with the Hubble parameter as a choice for the IR cutoff one always obtains a universe that never accelerates or a universe that accelerates all the time, thus making the transition from deceleration to acceleration impossible. Next, we apply the IR cutoff consistency procedure to a RG running CC model, in which the low-energy variation of the CC is due to quantum effects of particle fields having masses near the Planck scale. We show that bringing such a model in full accordance with holography amounts to having such an IR cutoff which scales as a square root of the Hubble parameter. We find that such a setup, in which the only undetermined input represents the true ground state of the vacuum, can give early deceleration as well as late time acceleration. The possibility of further improvement of the model is also briefly indicated.

13 pages, 1 figure, revised, to appear in Phys. Rev. D

References in corpus (35)

• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• The World as a Hologram
• Phantom Energy and Cosmic Doomsday
• A Model of Holographic Dark Energy
• Effective Field Theory, Black Holes, and the Cosmological Constant
• Properties of singularities in (phantom) dark energy universe
• Late-time cosmology in (phantom) scalar-tensor theory: dark energy and the cosmic speed-up
• Entropy Bounds and Dark Energy
• Holographic dark energy and cosmic coincidence
• Transition of the dark energy equation of state in an interacting holographic dark energy model
• Evolution of the Scale Factor with a Variable Cosmological Term
• The Holographic Dark Energy in a Non-flat Universe
• Dark Energy: Vacuum Fluctuations, the Effective Phantom Phase, and Holography
• Quantum escape of sudden future singularity
• Cosmic Structure Growth and Dark Energy
• Supernova Constraints on a holographic dark energy model
• On the scaling behavior of the cosmological constant and the possible existence of new forces and new light degrees of freedom
• Extended Holographic dark energy
• Can vacuum decay in our Universe?
• Holography and Variable Cosmological Constant
• Variable Cosmological Constant as a Planck Scale Effect
• Constraints on the dark energy from holography
• A CMB/Dark Energy Cosmic Duality
• Testing the running of the cosmological constant with Type Ia Supernovae at high z
• Renormalization-group running of the cosmological constant and its implication for the Higgs boson mass in the Standard Model
• Renormalization-group running cosmologies - a scale-setting procedure
• Holographic principle and dark energy
• Renormalization-group running of the cosmological constant and the fate of the universe
• Hint for Quintessence-like Scalars from Holographic Dark Energy
• The Running of the Cosmological and the Newton Constant controlled by the Cosmological Event Horizon
• Cardy-Verlinde Formula and Holographic Dark Energy
• Role of the Brans-Dicke scalar in the holographic description of dark energy
• Sourced Friedmann equations with holographic energy density
• Cosmic holographic bounds with UV and IR cutoffs
• A speculative relation between the cosmological constant and the Planck mass

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