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.

26 pages, 3 figures Added references, changed content

References in corpus (2)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Observational Signatures and Non-Gaussianities of General Single Field Inflation

Cited by in corpus (5)

• $\alpha$-vacuum and inflationary bispectrum
• Consistency Relations for Non-Gaussianity
• Revisiting non-Gaussianity of multiple-field inflation from the field equation
• UV/IR mode mixing and the CMB
• Modification from Noncommutative Inflation