Abstract
We use the non-Gaussian fixed points (NGFPs) appearing in the renormalization group flow of gravity and gravity–matter systems to construct models of NGFP-driven inflation via a renormalization group improvement scheme. The cosmological predictions of these models depend sensitively on the characteristic properties of the NGFPs, including their position and stability coefficients, which in turn are determined by the field content of the underlying matter sector. We demonstrate that the NGFPs appearing in gravity–matter systems where the matter content is close to the one of the standard model of particle physics are the ones compatible with cosmological data. Somewhat counterintuitively, the negative fixed point value of the dimensionless cosmological constant is essential for these findings.
Highlights
The Planck and WMAP satellite missions have measured the fluctuation spectrum of the cosmic microwave background (CMB) at an hitherto unprecedented precision [1, 2]
Inflationary models based on a single scalar field or modified gravity theories based on an R2-Lagrangian (Starobinsky-inflation) are quite successful in explaining the observation
In this work we study a close relative of Starobinsky inflation, the so-called non-Gaussian fixed points (NGFPs)-driven inflation
Summary
The Planck and WMAP satellite missions have measured the fluctuation spectrum of the cosmic microwave background (CMB) at an hitherto unprecedented precision [1, 2]. This led to the key insight that gravity as well as many phenomenologically interesting gravitymatter systems possess a NGFP suitable for realizing asymptotic safety While this scenario is quite attractive from a quantum field theory point of view, since it allows for a consistent quantization of the gravitational force along the same lines of the other fundamental interactions, it comes with the technical challenge that the action describing the gravitational interactions in the high-energy phase is quite complicated and not well understood. It has been understood that the addition of matter fields may give rise to NGFPs whose properties differ from the one found in the case of pure gravity In particular their position projected to the g-λ–plane and the value of the stability coefficients, governing the scale-dependence of the couplings in the high-energy regime, depend on the precise matter content of the system.
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