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Non-minimal two-loop inflation T. Inagaki, R. Nakanishi, S. D. Odintsov

By: Inagaki, TomohiroContributor(s): Nakanishi, Ryota | Odintsov, Sergey Dmitrievich | Томский государственный университет Физический факультет Научные подразделения ФФMaterial type: ArticleArticleSubject(s): эффективные потенциалы двухпетлевые | скалярные поляGenre/Form: статьи в журналах Online resources: Click here to access online In: Physics Letters B Vol. 745. P. 105-111Abstract: 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 nsand the tensor-to-scalar ratio r, with varying the four parameters, the scalar-curvature coupling ξ0, the scalar quartic coupling λ0, the renormalization scale μand the e-folding number N. It is found that the two-loop correction on nsis 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].
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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 nsand the tensor-to-scalar ratio r, with varying the four parameters, the scalar-curvature coupling ξ0, the scalar quartic coupling λ0, the renormalization scale μand the e-folding number N. It is found that the two-loop correction on nsis 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].

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