Non-commutative Geometry Modified Non-Gaussianities of Cosmological Perturbation

Abstract

We investigate the noncommutative effect on the non-Gaussianities of primordial cosmological perturbation. In the lowest order of string length and slow-roll parameter, we find that in the models with small speed of sound the noncommutative modifications could be observable if assuming a relatively low string scale. In particular, the dominant modification of non-Gaussianity estimator f_{NL} could reach O(1) in DBI inflation and K-inflation. The corrections are sensitive to the speed of sound and the choice of string length scale. Moreover the shapes of the corrected non-Gaussianities are distinct from that of ordinary ones.

arXiv comment26 pages, 3 figures Added references, changed content

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Cited by in corpus (13)

• $\alpha$-vacuum and inflationary bispectrum
• Multi-Stream Inflation
• Consistency Relations for Non-Gaussianity
• Non-Gaussianities of Single Field Inflation with Non-minimal Coupling
• Non-Gaussianity, Isocurvature Perturbation, Gravitational Waves and a No-Go Theorem for Isocurvaton
• Enhanced Inflation in the Dirac-Born-Infeld framework
• Noncommutative Geometry Inspired Entropic Inflation
• Revisiting non-Gaussianity of multiple-field inflation from the field equation
• Anisotropic non-gaussianity with noncommutative spacetime
• UV/IR mode mixing and the CMB
• CMB constraints on noncommutative geometry during inflation
• Inflation on a Non-Commutative Space-Time
• Modification from Noncommutative Inflation