Scale-Invariant Curvature Fluctuations from an Extended Semiclassical Gravity
arXiv:1303.3241 · doi:10.1063/1.4908127
Abstract
We present an extension of the semiclassical Einstein equations which couples n-point correlation functions of a stochastic Einstein tensor to the n-point functions of the quantum stress-energy tensor. We apply this extension to calculate the quantum fluctuations during an inflationary period, where we take as a model a massive conformally coupled scalar field on a perturbed de Sitter space and describe how a renormalization independent, almost-scale-invariant power spectrum of the scalar metric perturbation is produced. Furthermore, we discuss how this model yields a natural basis for the calculation of non-Gaussianities of the considered metric fluctuations.
16 pages, 2 figures; final version
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Cited by in corpus (5)
- Semiclassical theories as initial value problems
- On the initial value problem for semiclassical gravity without and with quantum state collapses
- Long-range correlations of the stress tensor near the Cauchy horizon
- The Hadamard condition on a Cauchy surface and the renormalized stress-energy tensor
- Existence and uniqueness of solutions of the semiclassical Einstein equation in cosmological models