Non-minimal two-loop inflation

We investigate the chaotic inflationary model using the two-loop effective potential of a self-interacting scalar field theory in curved spacetime. We use the potential which contains a non-minimal scalar curvature coupling and a quartic scalar self-interaction and which was found in Ref. [1]. We an...

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Bibliographic Details
Main Authors: Tomohiro Inagaki, Ryota Nakanishi, Sergei D. Odintsov
Format: Article
Language:English
Published: Elsevier 2015-05-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269315002816
Description
Summary:We investigate the chaotic inflationary model using the two-loop effective potential of a self-interacting scalar field theory in curved spacetime. We use the potential which contains a non-minimal scalar curvature coupling and a quartic scalar self-interaction and which was found in Ref. [1]. We analyze the Lyapunov stability of de Sitter solution and show the stability bound. Calculating the inflationary parameters, we systematically explore the spectral index ns and the tensor-to-scalar ratio r, with varying the four parameters, the scalar-curvature coupling ξ0, the scalar quartic coupling λ0, the renormalization scale μ and the e-folding number N. It is found that the two-loop correction on ns is much larger than the leading-log correction, which has previously been studied in Ref. [2]. We show that the model is consistent with the observation by Planck with WMAP [3,4] and a recent joint analysis of BICEP2 [5]. Keywords: Two-loop effective potential, Spectral index, Tensor-to-scalar ratio
ISSN:0370-2693