Noncommutative spacetime effect on the slow-roll period of inflation

Abstract

We study how the noncommutative spacetime affects on inflation. First we obtain the noncommutative power spectrum of the curvature perturbations produced during inflation in the slow-roll approximation. This is the explicit $k$-dependent power spectrum up to first order in slow-roll parameters ${\epsilon }_1{\delta }_1$ including the noncommutative parameter $\mu$. In order to test the role of $\mu$ further, we calculate the noncommutative power spectrum using the slow-roll expansion. We find corrections which arise from the change of pivot scale and a noncommutative parameter with $\mu \ne$ constant. It turns out that the noncommutative parameter $\mu$ could be considered as a zeroth order slow-roll parameter and the noncommutative spacetime effect suppresses the power spectrum.

arXiv comment13 pages

References in corpus (3)

• A more accurate analytic calculation of the spectrum of cosmological perturbations produced during inflation
• The Density Perturbation Power Spectrum to Second-Order Corrections in the Slow-Roll Expansion
• Non-commutative inflation and the CMB

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