Quantum stability of a w<-1 phase of cosmic acceleration

E. O. Kahya*, V. K. Onemli

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

112 Citations (Scopus)

Abstract

We consider a massless, minimally coupled scalar with a quartic self-interaction which is released in Bunch-Davies vacuum in the locally de Sitter background of an inflating universe. It was shown, in this system, that quantum effects can induce a temporary phase of superacceleration, 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 amplitude of the quantum-corrected mode function is reduced in time, starting from its initial classical (Bunch-Davies) value. This implies that the linear perturbations do not grow; hence, the model is stable. The decrease in the amplitude is in agreement with the system developing a positive (growing) mass squared due to quantum processes. The induced mass, however, remains perturbatively small and does not go tachyonic. This ensures the stability.

Original languageEnglish
Article number043512
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume76
Issue number4
DOIs
Publication statusPublished - 13 Aug 2007
Externally publishedYes

Funding

FundersFunder number
Directorate for Mathematical and Physical Sciences0244714

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