Cosmological parameters in the noncommutative inflation

Abstract

We investigate how the uncertainty of noncommutative spacetime could explain the WMAP data. For this purpose, the spectrum is divided into the IR and UV region. We introduce a noncommutative parameter of ${\gamma }_0$ in the IR region and a noncommutative parameter of ${\mu }_0$ in the UV region. We calculate cosmological parameters using the slow-roll expansion in the UV region and a perturbation method in the IR region. The power-law inflation is chosen to obtain explicit forms for the power spectrum, spectral index, and running spectral index. Further, these are used to fit the data.

13 pages, version to appear in PLB