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2014

$R^2\log R$ quantum corrections and the inflationary observables

Ben-Dayan, Ido, Jing, Shenglin, Torabian, Mahdi et al.

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We study a model of inflation with terms quadratic and logarithmic in the Ricci scalar, where the gravitational action is $f(R)=R+\alpha R^2+\beta R^2 \ln R$.

These terms are expected to arise from one loop corrections involving matter fields in curved space-time.
The spectral index $n_s$ and the tensor to scalar ratio yield $10^{-4}\lesssim r\lesssim0.03$ and $0.94\lesssim n_s \lesssim 0.99$.
i.e.

$R^2\log R$ quantum corrections and the inflationary observables · Around

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V. F. Mukhanov and G. V. Chibisov, Quantum Fluctuation and Nonsingular Universe. (In Russian)
1981
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L. Kofman, A. Linde, and A. Starobinsky, Inflationary universe generated by the combined action of a scalar field and gravitational vacuum polarization
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A. Vilenkin, Classical and quantum cosmology of the Starobinsky inflationary model
1985
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K.-I. Berkin, Andrew L.; Maeda, Effects of R
1990
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