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arXiv · 1408.1270

Inflationary Parameters in Renormalization Group Improved $ϕ^4$ Theory

Tomohiro Inagaki·Ryota Nakanishi·Sergei D. Odintsov
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Abstract

Inflation models can be examined by the cosmological observations, WMAP, Planck, BICEP2 and so on. These observations directly constrain the spectral index, $n_s$, and the tensor-to-scalar ratio, $r$. Besides, from a theoretical point of view, it has been shown that any inflation models asymptote a universal attractor in $(n_s,r)$ plane for a larger scalar-gravity coupling. In this work we consider a simple chaotic inflation model with a scalar quartic and a scalar-curvature interactions. The quantum corrections are introduced for these interactions through the renormalization group. The inflationary parameters, $n_s$ and $r$, are numerically calculated with shifting the bare scalar-gravity coupling $ξ_0$, the quartic scalar bare coupling $λ_0$, the renormalization scale $μ$ and the e-folding number $N$. The Planck data is consistent with the $ϕ^4$ theory with a finite scalar-curvature coupling. It is found that the RG running induces a non-universal contribution for $n_s$ and $r$. It can increase the tensor-to-scalar ratio, $r$, which is consistent with Planck data so that it may approach the BICEP2 data for a small renormalization scale.

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BibTeXRIS

Tomohiro Inagaki, Ryota Nakanishi, Sergei D. Odintsov. 2014-08-27. Inflationary Parameters in Renormalization Group Improved $ϕ^4$ Theory. https://doi.org/10.1007/s10509-014-2108-3

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