Asymptotically Safe Non-Minimal Inflation

Abstract

We study the constraints imposed by the requirement of Asymptotic Safety on a class of inflationary models with an inflaton field non-minimally coupled to the Ricci scalar. The critical surface in the space of theories is determined by the improved renormalization group flow which takes into account quantum corrections beyond the one loop approximation. The combination of constraints deriving from Planck observations and those from theory puts severe bounds on the values of the parameters of the model and predicts a quite large tensor to scalar ratio. We finally comment on the dependence of the results on the definition of the infrared energy scale which parametrises the running on the critical surface.

26 pages, 6 figures, final version accepted for publication in JCAP

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Cited by in corpus (12)

• The nonperturbative functional renormalization group and its applications
• Status of the asymptotic safety paradigm for quantum gravity and matter
• Cosmological bounds on the field content of asymptotically safe gravity-matter models
• Consistent early and late time cosmology from the RG flow of gravity
• Quadratic, Higgs and hilltop potentials in the Palatini gravity
• Inflationary predictions of double-well, Coleman-Weinberg, and hilltop potentials with non-minimal coupling
• MSSM-inspired multifield inflation
• Renormalization group flows and fixed points for a scalar field in curved space with nonminimal $F(\varphi )R$ coupling
• Quantum Cosmology and the Inflationary Spectra from a Non-Minimally Coupled Inflaton
• Induced Gravity and Quantum Cosmology
• Lectures in Quantum Gravity
• Primordial Black Holes in Induced Gravity Inflationary Models with Two Scalar Fields