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- W2808027213 abstract "We consider an inflationary model motivated by quantum effects of gravitational and matter fields near the Planck scale. Our Lagrangian is a resummed version of the effective Lagrangian recently obtained by Demmel, Saueressig, and Zanusso [A proper fixed functional for four-dimensional quantum Einstein gravity, J. High Energy Phys. 08 (2015) 113.] in the context of gravity as an asymptotically safe theory. It represents a refined Starobinsky model, ${mathcal{L}}_{mathrm{eff}}={M}_{mathrm{P}}^{2}R/2+(a/2){R}^{2}/[1+bmathrm{ln}(R/{ensuremath{mu}}^{2})]$, where $R$ is the Ricci scalar, $a$ and $b$ are constants, and $ensuremath{mu}$ is an energy scale. By implementing the COBE normalization and the Planck constraint on the scalar spectrum, we show that increasing $b$ leads to an increased value of both the scalar spectral index ${n}_{s}$ and the tensor-to-scalar ratio $r$. Requiring ${n}_{s}$ to be consistent with the Planck Collaboration upper limit, we find that $r$ can be as large as $rensuremath{simeq}0.01$, the value possibly measurable by Stage IV CMB ground experiments and certainly from future dedicated space missions. The predicted running of the scalar spectral index $ensuremath{alpha}=d{n}_{s}/dmathrm{ln}(k)$ is still of the order $ensuremath{-}5ifmmodetimeselsetexttimesfi{}{10}^{ensuremath{-}4}$ (as in the Starobinsky model), about 1 order of magnitude smaller than the current observational bound." @default.
- W2808027213 created "2018-06-21" @default.
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- W2808027213 date "2018-08-06" @default.
- W2808027213 modified "2023-09-26" @default.
- W2808027213 title "Inflation in an effective gravitational model and asymptotic safety" @default.
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- W2808027213 doi "https://doi.org/10.1103/physrevd.98.043505" @default.
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