Natural inflation in Palatini $F(R,X)$

Abstract

In the context of Palatini gravity, $F(R+X)$ models, with X the inflaton kinetic term, are characterized by the appealing property of generating asymptotically flat inflaton potentials, exactly like the more commonly studied Palatini $F(R)$ models, but without the complication of non-canonical inflaton kinetic terms in the Einstein frame. In this paper, we study the case of a Jordan frame potential which is positive and bounded, specifically, natural inflation. We compute the CMB observables and show that for a wide class of $F(R+X)$ theories, including the quadratic one, natural inflation is still viable.

arXiv comment15 pages, 5 figures, references added, a brief analysis for subPlanckian M added, matches the published version

References in corpus (73)

• Planck 2018 results. X. Constraints on inflation
• The Simons Observatory: Science goals and forecasts
• BICEP / Keck XIII: Improved Constraints on Primordial Gravitational Waves using Planck, WMAP, and BICEP/Keck Observations through the 2018 Observing Season
• Completing Natural Inflation
• CMB-S4 Science Case, Reference Design, and Project Plan
• Inflation with Non-Minimal Coupling: Metric vs. Palatini Formulations
• Cosmological perturbations in the Palatini formulation of modified gravity
• Higgs-Palatini Inflation and Unitarity
• LiteBIRD: JAXA's new strategic L-class mission for all-sky surveys of cosmic microwave background polarization
• Higgs inflation with loop corrections in the Palatini formulation
• Palatini inflation in models with an $R^2$ term
• Inflation with $R^2$ term in the Palatini formalism
• Preheating in Palatini Higgs inflation
• Reheating in $R^2$ Palatini inflationary models
• The Palatini side of inflationary attractors
• Minimal Higgs inflation with an $R^2$ term in Palatini gravity
• Quantum corrections to quartic inflation with a non-minimal coupling: metric vs. Palatini
• Resurrecting Quadratic Inflation with a non-minimal coupling to gravity
• Coleman-Weinberg linear inflation: metric vs. Palatini formulation
• A frame independent classification of single field inflationary models
• Rescuing Quartic and Natural Inflation in the Palatini Formalism
• Dynamically induced Planck scale and inflation in the Palatini formulation
• Hidden Inflaton Dark Matter
• Higgs inflation in the Palatini formulation with kinetic terms for the metric
• New universal attractor in nonmininally coupled gravity: Linear inflation
• Quantum Effects in Palatini Higgs Inflation
• Inflationary Perturbations in Palatini Generalised Gravity
• Higgs inflation at the hilltop
• Fractional attractors in light of the latest ACT observations
• Natural Warm Inflation
• Palatini-Higgs inflation with non-minimal derivative coupling
• Scale-Invariant Quadratic Gravity and Inflation in the Palatini Formalism
• Attractor Behaviour in Multifield Inflation
• Palatini formulation of pure $R^2$ gravity yields Einstein gravity with no massless scalar
• Inflation in Metric-Affine Quadratic Gravity
• Equivalence of inflationary models between the metric and Palatini formulation of scalar-tensor theories
• Palatini frames in scalar-tensor theories of gravity
• Trans-Planckian Censorship, Inflation and Dark Matter
• Quasi-Conformal Models and the Early Universe
• Axion dark matter from Higgs inflation with an intermediate $H_{\ast }$
• Reheating in Models with Non-minimal Coupling in metric and Palatini formalisms
• Towards distinguishing variants of non-minimal inflation
• Palatini $R^2$ Quintessential Inflation
• Tachyonic Preheating in Palatini $R^2$ Inflation
• Gravitational dark matter production in Palatini preheating
• Sub-Planckian ${\varphi }^2$ Inflation in the Palatini Formulation of Gravity with an $R^2$ term
• Non-minimally coupled quartic inflation with Coleman-Weinberg one-loop corrections in the Palatini formulation
• Natural Inflation with a periodic non-minimal coupling
• Critical point Higgs inflation in the Palatini formulation
• On UV-completion of Palatini-Higgs inflation
• Tree-level unitarity in Higgs inflation in the metric and the Palatini formulation
• On the viability of m**2 phi**2 and natural inflation
• Quadratic, Higgs and hilltop potentials in the Palatini gravity
• Does Palatini Higgs Inflation Conserve Unitarity?
• A minimal model of inflation and dark radiation
• Inflation and Reheating in f(R,h) theory formulated in the Palatini formalism
• Non-minimal (self-)running inflation: metric vs. Palatini formulation
• BICEP/Keck data and Quadratic Gravity
• On the number of $e$-folds in the Jordan and Einstein frames
• Multiple point criticality principle and Coleman-Weinberg inflation
• Inflation with $R_{(\alpha \beta )}$ terms in the Palatini formulation
• Natural-Scalaron Inflation
• Natural Metric-Affine Inflation
• Natural Inflation with non minimal coupling to gravity in $R^2$ gravity under the Palatini formalism
• Gravitational corrections to electroweak vacuum decay: metric vs. Palatini
• Non-minimally coupled Natural Inflation: Palatini and Metric formalism with the recent BICEP/Keck
• Quintessence in the Weyl-Gauss-Bonnet model
• Scalar-tensor extension of Natural Inflation
• Palatini $F(R,X)$: a new framework for inflationary attractors
• Beyond (and back to) Palatini quadratic gravity and inflation
• Natural Inflation with Exponentially Small Tensor-To-Scalar Ratio
• $\tilde{\xi }$-attractors in metric-affine gravity
• (Multi-field) Natural Inflation and Gravitational Waves

Cited by in corpus (2)

• Natural inflation in Palatini $F(R)$
• Quintessential Inflation in Palatini $F(R,X)$ gravity