Squeezed primordial bispectrum from a general vacuum state

Jinn Ouk Gong; Misao Sasaki

doi:10.1088/0264-9381/30/9/095005

Squeezed primordial bispectrum from a general vacuum state

Jinn Ouk Gong, Misao Sasaki

Department of Science Education

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14 Scopus citations

Abstract

We study the general relation between the power spectrum and the squeezed limit of the bispectrum of the comoving curvature perturbation produced during single-field slow-roll inflation when the initial state is a general vacuum. Assuming the scale invariance of the power spectrum, we derive a formula for the squeezed limit of the bispectrum, represented by the parameter f_NL, which is not slow-roll suppressed and is found to contain a single free parameter for a given amplitude of the power spectrum. Then, we derive the conditions for achieving a scale-invariant f_NL and discuss a few examples.

Original language	English
Article number	095005
Journal	Classical and Quantum Gravity
Volume	30
Issue number	9
DOIs	https://doi.org/10.1088/0264-9381/30/9/095005
State	Published - 7 May 2013

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abstract = "We study the general relation between the power spectrum and the squeezed limit of the bispectrum of the comoving curvature perturbation produced during single-field slow-roll inflation when the initial state is a general vacuum. Assuming the scale invariance of the power spectrum, we derive a formula for the squeezed limit of the bispectrum, represented by the parameter fNL, which is not slow-roll suppressed and is found to contain a single free parameter for a given amplitude of the power spectrum. Then, we derive the conditions for achieving a scale-invariant fNL and discuss a few examples.",

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AB - We study the general relation between the power spectrum and the squeezed limit of the bispectrum of the comoving curvature perturbation produced during single-field slow-roll inflation when the initial state is a general vacuum. Assuming the scale invariance of the power spectrum, we derive a formula for the squeezed limit of the bispectrum, represented by the parameter fNL, which is not slow-roll suppressed and is found to contain a single free parameter for a given amplitude of the power spectrum. Then, we derive the conditions for achieving a scale-invariant fNL and discuss a few examples.

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Squeezed primordial bispectrum from a general vacuum state

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