Non-commutative Power-law Inflation: Mode Equation and Spectra Index

Details Non-commutative Power-law Inflation: Mode Equation and Spectra Index Non-commutative Power-law Inflation: Mode Equation and Spectra Index

2004-09-07

arxiv.org/abs/hep-th/0409075v1

Phys.Lett. B600 (2004) 1-6

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 1 figure, to appear in Phys. Lett. B

Scientific paper

10.1016/j.physletb.2004.09.003

Following an elegant approach that merge the effects of the stringy spacetime uncertainty relation into primordial perturbations suggested by Brandenberger and Ho, we show the mode equation up to the first order of non-commutative parameter. A new approximation is provided to calculate the mode functions analytically in the non-commutative power-law inflation models. It turns out that non-commutativity of spacetime can provide small corrections to the power spectrum of primordial fluctuations as the first-year results of WMAP indicate. Moreover, using the WMAP data, we obtain the value of expansion parameter, non-commutative parameter and find the approximation is viable. In addition, we determined the string scale $l_s \simeq 2.0\times 10^{-29}{cm}$.

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