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Physical Review D

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Slow-roll reconstruction for running spectral index

Qing-Guo Huang^*

School of Physics, Korea Institute for Advanced Study, 207-43, Cheongryangri-Dong, Dongdaemun-Gu, Seoul 130-722, Korea

^*huangqg@kias.re.kr

Phys. Rev. D 76, 043505 – Published 6 August, 2007

DOI: https://doi.org/10.1103/PhysRevD.76.043505

Abstract

We reconstruct from the Wilkinson microwave anisotropy probe three-year data the slow-roll parameters in the standard slow-roll inflation model and the noncommutative inflation model. We also investigate the evolution of these slow-roll parameters. Requiring that slow-roll inflation lasts more than 20 e-folds after cosmic microwave background scales leave the horizon, we find that the potential at the last stage of inflation takes the form $V (ϕ) = V_{0} (1 + \frac{η_{c}}{2} \frac{(ϕ - ϕ_{c})^{2}}{M_{p}^{2}})$ , where $η_{c}$ is a constant. A natural mechanism to end inflation at $ϕ = ϕ_{c}$ is the hybrid-type inflation.

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