Noncommutative chaotic inflation and WMAP three year results

Abstract

Noncommutative inflation is based upon the consideration of some effects of the space-time uncertainty principle motivated by ideas from string/M theory. The CMB anisotropies may carry a signature of this very early Universe correction from the space-time uncertainty principle and can be used to place constraints on the parameters of the noncommutative inflation model. In this paper we analyze the noncommutative chaotic inflation model by means of the WMAP three year results. We show that the noncommutative chaotic inflation model can produce a large negative running of spectral index within a reasonable range of $e$-folding number $N$, provided that the value of $p$ in the potential $V(\varphi )\propto {\varphi }^p$ is enhanced roughly to $p\sim 12-18$. Applying a likelihood analysis to the WMAP results, we find the best-fit values of parameters for the noncommutative chaotic inflation model. In addition, this model predicts a rather big gravitational wave which may be tested by the upcoming experiments.

8 pages, 3 figures;accepted for publication in Phys. Lett. B

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• A Note on Noncommutative Brane Inflation
• Generalized Space-time Noncommutative Inflation
• Is Noncommutative Eternal Inflation Possible?
• Noncommutative KKLMMT Model
• Reexamination of inflation in noncommutative space-time after Planck results
• Nonminimal Inflation and the Running Spectral Index
• The Measure for the Multiverse and the Probability for Inflation
• Gauss-Bonnet braneworld and WMAP three year results
• Slow-roll reconstruction for running spectral index
• Exploring trans-Planckian physics and the curvature effect by primordial power spectrum with WMAP five-year data