The Simple Single Field Inflation Models and the Running of Spectral Index

Abstract

The BICEP2 experiment confirms the existence of primordial gravitational wave with the tensor-to-scalar ratio $r=0$ ruled out at $7\sigma$ level. The consistency of this large value of $r$ with the {\em Planck} data requires a large negative running $n_s^{\prime }$ of the scalar spectral index. Herein we propose two types of the single field inflation models with simple potentials to study the possibility of the consistency of the models with the BICEP2 and {\em Planck} observations. One type of model suggested herein is realized in the supergravity model building. These models fail to provide the needed $n_s^{\prime }$ even though both can fit the tensor-to-scalar ratio and spectral index.

arXiv comment4 figures, Sci. China Phys. Mech. Astron. in press

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• Running from Features: Optimized Evaluation of Inflationary Power Spectra
• The Renormalizable Three-Term Polynomial Inflation with Large Tensor-to-Scalar Ratio
• Holographic inflation and holographic dark energy from entropy of the anti-de Sitter black hole
• Evolution of the early universe in Einstein-Cartan theory