2003Unpublished venueOpen access

A FLRW cosmological model with running cosmological constant

Joan Solà, Ilya L. Shapiro

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Abstract

The idea of a variable dark energy has been entertained many times in the literature and from many different points of view.Quintessence is just a popular way to implement this idea in recent times, but so far with little success.Another possibility is to think of the cosmological term, Λ, as a "running quantity" much in the same way as the electromagnetic coupling constant.However, the fact that Λ is a dimension-four parameter implies that it may obey a peculiar renormalization group equation, which at low energies could be dominated by "soft decoupling" contributions of the form Λ ∼ H 2 M 2 P stemming from physics near the Planck scale.This value lies in the ballpark of the measurements from CMB and high-z supernovae.A "renormalized" FLRW cosmology of this kind may reveal itself as a sound, and testable, proposal for a variable Λ model within quantum field theory in curved space time.

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The idea of a variable dark energy has been entertained many times in the literature and from many different points of view.Quintessence is just a popular way to implement this idea in recent times, but so far with little success.Another possibility is to think of the cosmological term, Λ, as a "running quantity" much in the same way as the electromagnetic coupling constant.However, the fact that Λ is a dimension-four parameter implies that it may obey a peculiar renormalization group equation, which at low energies could be dominated by "soft decoupling" contributions of the form Λ ∼ H 2 M 2 P stemming from physics near the Planck scale.This value lies in the ballpark of the measurements from CMB and high-z supernovae.A "renormalized" FLRW cosmology of this kind may reveal itself as a sound, and testable, proposal for a variable Λ model within quantum field theory in curved space time.

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Available abstract

The idea of a variable dark energy has been entertained many times in the literature and from many different points of view.Quintessence is just a popular way to implement this idea in recent times, but so far with little success.Another possibility is to think of the cosmological term, Λ, as a "running quantity" much in the same way as the electromagnetic coupling constant.However, the fact that Λ is a dimension-four parameter implies that it may obey a peculiar renormalization group equation, which at low energies could be dominated by "soft decoupling" contributions of the form Λ ∼ H 2 M 2 P stemming from physics near the Planck scale.This value lies in the ballpark of the measurements from CMB and high-z supernovae.A "renormalized" FLRW cosmology of this kind may reveal itself as a sound, and testable, proposal for a variable Λ model within quantum field theory in curved space time.

Key concepts: Quintessence, Physics, Friedmann–Lemaître–Robertson–Walker metric, Cosmological constant, Dark energy, Vacuum energy, Theoretical physics, Cosmology

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