Second-order corrections to noncommutative spacetime inflation

Details Second-order corrections to noncommutative spacetime inflation Second-order corrections to noncommutative spacetime inflation

2004-02-25

arxiv.org/abs/hep-th/0402198v2

Phys.Rev. D70 (2004) 043521

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, no figure, version published in PRD

Scientific paper

10.1103/PhysRevD.70.043521

We investigate how the uncertainty of noncommutative spacetime affects on inflation. For this purpose, the noncommutative parameter $\mu_0$ is taken to be a zeroth order slow-roll parameter. We calculate the noncommutative power spectrum up to second order using the slow-roll expansion. We find corrections arisen from a change of the pivot scale and the presence of a variable noncommutative parameter, when comparing with the commutative power spectrum. The power-law inflation is chosen to obtain explicit forms for the power spectrum, spectral index, and running spectral index. In cases of the power spectrum and spectral index, the noncommutative effect of higher-order corrections compensates for a loss of higher-order corrections in the commutative case. However, for the running spectral index, all higher-order corrections to the commutative case always provide negative spectral indexes, which could explain the recent WMAP data.

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