On the constant-roll inflation

Abstract

The primordial power spectra of scalar and tensor perturbations during slow-roll inflation are usually calculated with the method of Bessel function approximation. For constant-roll or ultra slow-roll inflation, the method of Bessel function approximation may be invalid. We compare the numerical results with the analytical results derived from the Bessel function approximation, and we find that they differ significantly on super-horizon scales if the constant slow-roll parameter ${\eta }_H$ is not small. More accurate method is needed for calculating the primordial power spectrum for constant-roll inflation.

17 pages, 6 figures, some references added, jcap in press

References in corpus (8)

• Ultra slow-roll inflation demystified
• Single-field inflation, anomalous enhancement of superhorizon fluctuations, and non-Gaussianity in primordial black hole formation
• Anisotropic Constant-roll Inflation
• Systematics of Constant Roll Inflation
• Reheating in Constant-roll $F(R)$ Gravity
• Constant-roll tachyon inflation and observational constraints
• New perspectives on constant-roll inflation
• The observational constraint on constant-roll inflation

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