Anisotropic non-gaussianity with noncommutative spacetime
arXiv:1303.4159 · doi:10.1016/j.physletb.2013.12.007
Abstract
We study single field inflation in noncommutative spacetime and compute two-point and three-point correlation functions for the curvature perturbation. We find that both power spectrum and bispectrum for comoving curvature perturbation are statistically anisotropic and the bispectrum is also modified by a phase factor depending upon the noncommutative parameters. The non-linearity parameter is small for small statistical anisotropic corrections to the bispectrum coming from the noncommutative geometry and is consistent with the recent PLANCK bounds. There is a scale dependence of due to the noncommutative spacetime which is different from the standard single field inflation models and statistically anisotropic vector field inflation models. Deviations from statistical isotropy of CMB, observed by PLANCK can tightly constraint the effects due to noncommutative geometry on power spectrum and bispectrum.
23 pages, Some typos corrected, Matches published version
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Cited by in corpus (8)
- Unified description for kappa-deformations of orthogonal groups
- Constraint on noncommutative spacetime from PLANCK data
- Big Bang, Blowup, and Modular Curves: Algebraic Geometry in Cosmology
- Noncommutative Geometry and the Primordial Dipolar Imaginary Power Spectrum
- CMB statistical anisotropy from noncommutative gravitational waves
- Scale and shape dependent non-Gaussianity in the presence of inflationary vector fields
- Quantum harmonic oscillator in a time dependent noncommutative background
- Noncommutative spacetime geometry and one-loop effects in primordial cosmology