Quantum Stability of a w < - 1 Phase of Cosmic Acceleration

Abstract

We consider a massless, minimally coupled scalar with a quartic self-interaction which is released in Bunch-Davies vacuum in locally de Sitter background of an inflating universe. It was shown, in this system, that quantum effects can induce a temporary phase of super-acceleration causing a violation of the Weak Energy Condition on cosmological scales. In this paper we investigate the system's stability by studying the behavior of linearized perturbations in the quantum-corrected effective field equation at one and two-loop order. We show that the time dependence we infer from the quantum-corrected mode function is in perfect agreement with the system developing a positive mass squared. The maximum induced mass remains perturbatively small and it does not go tachyonic. Thus, the system is stable.

23 pages

References in corpus (37)

• Dynamics of dark energy
• Conditions for the cosmological viability of f(R) dark energy models
• Can dark energy evolve to the Phantom?
• Phantom scalar dark energy as modified gravity: understanding the origin of the Big Rip singularity
• A kinematical approach to dark energy studies
• Quantum Contributions to Cosmological Correlations II: Can These Corrections Become Large?
• On the one loop corrections to inflation and the CMB anisotropies
• Generalized Second Law of Thermodynamics in Quintom Dominated Universe
• Leading Log Solution for Inflationary Yukawa
• Minimum mass-radius ratio for charged gravitational objects
• Quantum phantom cosmology
• Cosmological coincidence problem in interacting dark energy models
• Cosmological Evolution of Interacting Phantom Energy with Dark Matter
• Quintom cosmologies with arbitrary potentials
• On the One Loop Corrections to Inflation II: The Consistency Relation
• Two-Field Quintom Models in the w-w' Plane
• Generalized Chaplygin gas model: constraints from Hubble parameter versus Redshift Data
• Avoidance of Big Rip In Phantom Cosmology by Gravitational Back Reaction
• Gravitons Enhance Fermions during Inflation
• Late acceleration and $w=-1$ crossing in induced gravity
• Two Loop Scalar Bilinears for Inflationary SQED
• Crossing $w=-1$ by a single scalar on a Dvali-Gabadadze-Porrati brane
• Thermodynamics second law and $\omega =-1$ crossing(s) in interacting holographic dark energy model
• Critical comments on the paper "Crossing $\omega =-1$ by a single scalar field on a Dvali-Gabadadze-Porrati brane" by H Zhang and Z-H Zhu [Phys.Rev.D75,023510(2007)]
• Reconstruction of Hessence Dark Energy and the Latest Type Ia Supernovae Gold Dataset
• The null energy condition and instability
• Future Universe With w < -1 Without Big Smash
• One Loop Corrected Mode Functions for SQED during Inflation
• Constraints on a variable dark energy model with recent observations
• The Evolution of Universe with th B-I Type Phantom Scalar Field
• Coupled Quintessence and Phantom Based On a Dilaton
• String inspired explanation for the super-acceleration of our universe
• Scale Factor Dependent Equations of State for Curvature Inspired Dark Energy, Phantom Barrier and Late Cosmic Acceleration
• Quantum Corrections in Quintessence Models
• Future state of the Universe
• Gravitational Origin of Phantom Dark Energy and Late Cosmic Acceleration
• Inflation is the generic feature of phantom field-not the big-rip

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