Scale dependence of $f_{NL}$ in N-flation

Details Scale dependence of $f_{NL}$ in N-flation Scale dependence of $f_{NL}$ in N-flation

2010-09-17

arxiv.org/abs/1009.3326v3

JCAP 1012:017,2010

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

15 pages, 2 figures; a subsection with detectable scale dependence of f_NL added; more discussions added and version accepted

Scientific paper

10.1088/1475-7516/2010/12/017

Adopting the horizon-crossing approximation, we derive the spectral index of $f_{NL}$ in general N-flation model. Axion N-flation model is taken as a typical model for generating a large $f_{NL}$ which characterizes the size of local form bispectrum. We find that its tilt $n_{f_{NL}}$ is negligibly small when all inflatons have the same potential, but a negative detectable $n_{f_{NL}}$ can be achieved in the axion N-flation with different decay constants for different inflatons. The measurement of $n_{f_{NL}}$ can be used to support or falsify the axion N-flation in the near future.

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