Inflationary quasi-scale invariant attractors

Abstract

In a series of recent papers Kallosh, Linde, and collaborators have provided a unified description of single-field inflation with several types of potentials, ranging from power law to supergravity, in terms of just one parameter $\alpha$. These so-called $\alpha$-attractors predict a spectral index $n_s$ and a tensor-to-scalar ratio $r$, which are fully compatible with the latest Planck data. The only common feature of all $\alpha$-attractors is a non-canonical kinetic term with a pole, and a potential analytic around the pole. In this paper, starting from the same Einstein frame with a non-canonical scalar kinetic energy, we explore the case of non-analytic potentials. We find the functional form that corresponds to quasi-scale invariant gravitational models in the Jordan frame, characterised by a universal relation between $r$ and $n_s$ that fits the observational data but is clearly distinct from the one of the $\alpha$-attractors. It is known that the breaking of the exact classical scale-invariance in the Jordan frame can be attributed to one-loop corrections. Therefore we conclude that there exists a class of non-analytic potentials in the non-canonical Einstein frame that are physically equivalent to a class of models in the Jordan frame, with scale-invariance softly broken by one-loop quantum corrections.

Version accepted for publication in Phys. Rev. D

References in corpus (17)

• The Standard Model Higgs boson as the inflaton
• A Joint Analysis of BICEP2/Keck Array and Planck Data
• The Unity of Cosmological Attractors
• Inflation after WMAP3: Confronting the Slow-Roll and Exact Power Spectra with CMB Data
• Large Field Inflation and Double $\alpha$-Attractors
• Dynamically Induced Planck Scale and Inflation
• Planck, LHC, and $\alpha$-attractors
• Escher in the Sky
• Does the first chaotic inflation model in supergravity provide the best fit to the Planck data?
• Inflation in scale-invariant theories of gravity
• Reconstructing the inflationary $f(R)$ from observations
• Dark Energy, Induced Gravity and Broken Scale Invariance
• Thermodynamics of topological black holes in $R^2$ gravity
• Disentangling the $f(R)$ - Duality
• Inflationary cosmology from quantum Conformal Gravity
• Scale-invariant rotating black holes in quadratic gravity
• Inflation and Dark Energy with a Single Superfield

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