Noncommutative spacetime effect on the slow-roll period of inflation

Details Noncommutative spacetime effect on the slow-roll period of inflation Noncommutative spacetime effect on the slow-roll period of inflation

2004-02-03

arxiv.org/abs/hep-th/0402018v1

Mod.Phys.Lett. A20 (2005) 271-284

Physics

High Energy Physics

High Energy Physics - Theory

13 pages

Scientific paper

10.1142/S0217732305016518

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 $\mu\not=$ 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.

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