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.
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Cite
@article{arxiv.gr-qc/0612026,
title = {Quantum Stability of a w < - 1 Phase of Cosmic Acceleration},
author = {E. O. Kahya and V. K. Onemli},
journal= {arXiv preprint arXiv:gr-qc/0612026},
year = {2008}
}
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23 pages