Non-minimal (self-)running inflation: metric vs. Palatini formulation

Abstract

We consider a model of quartic inflation where the inflaton is coupled non-minimally to gravity and the self-induced radiative corrections to its effective potential are dominant. We perform a comparative analysis considering two different formulations of gravity, metric or Palatini, and two different choices for the renormalization scale, widely known as prescription I and II. Moreover we comment on the eventual compatibility of the results with the final data release of the Planck mission.

arXiv comment21 pages, 5 figures, matches the published version. The article improves arXiv:1801.08810 with a detailed study of radiative self-corrections

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• Scale-Invariant Quadratic Gravity and Inflation in the Palatini Formalism
• Palatini $R^2$ Quintessential Inflation
• Tachyonic Preheating in Palatini $R^2$ Inflation
• Gravitational dark matter production in Palatini preheating
• Critical point Higgs inflation in the Palatini formulation
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• Multiple point criticality principle and Coleman-Weinberg inflation
• On the number of $e$-folds in the Jordan and Einstein frames
• Extended interactions in the Palatini-$R^2$ inflation
• Inflationary attractors and radiative corrections in light of ACT data
• Inflation and reheating in quadratic metric-affine gravity with derivative couplings
• Discrepancy between cosmological and electroweak observables in Higgs Inflation
• Issues in Palatini ${\mathcal{R}}^2$ inflation: Bounds on the Reheating Temperature
• Quintessential Inflation in Palatini Gravity
• First constraints on non-minimally coupled Natural and Coleman-Weinberg inflation and massive neutrino self-interactions with Planck+BICEP/Keck
• Beyond (and back to) Palatini quadratic gravity and inflation
• $\tilde{\xi }$-attractors in metric-affine gravity
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• Post-inflationary Leptogenesis and Dark Matter production: Metric versus Palatini formalism
• Scalar-Induced Gravitational Waves in Palatini $f(R)$ Gravity