Rescuing Quartic and Natural Inflation in the Palatini Formalism

Abstract

When considered in the Palatini formalism, the Starobinsky model does not provide us with a mechanism for inflation due to the absence of a propagating scalar degree of freedom. By (non)--minimally coupling scalar fields to the Starobinsky model in the Palatini formalism we can in principle describe the inflationary epoch. In this article, we focus on the minimally coupled quartic and natural inflation models. Both theories are excluded in their simplest realization since they predict values for the inflationary observables that are outside the limits set by the Planck data. However, with the addition of the $R^2$ term and the use of the Palatini formalism, we show that these models can be rendered viable.

arXiv commentJCAP accepted version, 16 pages, 7 figures

References in corpus (58)

• f(R) Theories Of Gravity
• The Standard Model Higgs boson as the inflaton
• Particle Physics Models of Inflation and the Cosmological Density Perturbation
• Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Higgs inflation: consistency and generalisations
• Natural Inflation: Particle Physics Models, Power Law Spectra for Large Scale Structure, and Constraints from COBE
• On the Naturalness of Higgs Inflation
• Running Inflation in the Standard Model
• Inflation scenario via the Standard Model Higgs boson and LHC
• Standard Model Higgs boson mass from inflation
• Inflation with Non-Minimal Coupling: Metric vs. Palatini Formulations
• Scalaron from $R^2$-gravity as a Heavy Field
• Asymptotic freedom in inflationary cosmology with a non-minimally coupled Higgs field
• Higgs inflation at the critical point
• Higgs inflation
• Higgs-Palatini Inflation and Unitarity
• The Higgs field as an inflaton
• Higgs inflation from Standard Model criticality
• Higgs Scalaron Mixed Inflation
• Classical and Quantum Initial Conditions for Higgs Inflation
• Higgs inflation with loop corrections in the Palatini formulation
• Palatini inflation in models with an $R^2$ term
• Inflation in the Mixed Higgs-$R^2$ Model
• Scalaron the healer: removing the strong-coupling in the Higgs- and Higgs-dilaton inflations
• Palatini formulation of $f(R,T)$ gravity theory, and its cosmological implications
• A Unitarity-Conserving Higgs Inflation Model
• Generalized Higgs inflation
• Higgs Starobinsky Inflation
• The Palatini side of inflationary attractors
• Palatini versus metric formulation in higher curvature 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
• Higgs xi-inflation for the 125-126 GeV Higgs: a two-loop analysis
• Inflationary Perturbations in Palatini Generalised Gravity
• Higgs inflation at the hilltop
• Starobinsky-like two-field inflation
• Minimal Higgs inflation
• Attractor Behaviour in Multifield Inflation
• Primordial perturbations generated by Higgs field and $R^2$ operator
• Inflationary dynamics and preheating of the non-minimally coupled inflaton field in the metric and Palatini formalisms
• Starobinsky cosmological model in Palatini formalism
• Cosmic acceleration from modified gravity with Palatini formalism
• Two-loop corrections to Starobinsky-Higgs inflation
• Electroweak relaxation of cosmological hierarchy
• Natural Inflation with a periodic non-minimal coupling
• The simplest extension of Starobinsky inflation
• Reinterpretation of the Starobinsky model
• Thermalized axion inflation: natural and monomial inflation with small $r$
• First-order Formalism and Odd-derivative Actions
• Non-metric chaotic inflation
• Emergence of dynamical dark energy from polynomial $f(R)$ theory in Palatini formalism
• Multi-field effects in a simple extension of $R^2$ inflation
• Reheating and preheating in the simplest extension of Starobinsky inflation
• Saddle point inflation from higher order corrections to Higgs/Starobinsky inflation
• Polynomial $f(R)$ Palatini cosmology -- dynamical system approach
• R^2-corrections to Chaotic Inflation

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• Tracing the high energy theory of gravity: an introduction to Palatini inflation
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• Quintessential inflation in Palatini $f(R)$ gravity
• Axion dark matter from Higgs inflation with an intermediate $H_{\ast }$
• Tachyonic Preheating in Palatini $R^2$ Inflation
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• Towards distinguishing variants of non-minimal inflation
• Implications of Palatini gravity for inflation and beyond
• Natural inflation with a nonminimal coupling to gravity
• Gravitational dark matter production in Palatini preheating
• Sub-Planckian ${\varphi }^2$ Inflation in the Palatini Formulation of Gravity with an $R^2$ term
• Constant-roll in the Palatini-$R^2$ models
• Initial conditions for plateau inflation: a case study
• Critical point Higgs inflation in the Palatini formulation
• Scalaron-Higgs inflation reloaded: Higgs-dependent scalaron mass and primordial black hole dark matter
• Slow-roll inflation in Palatini $F(R)$ gravity
• Minimal $k$-inflation in light of the conformal metric-affine geometry
• Inflation and Reheating in f(R,h) theory formulated in the Palatini formalism
• Non-minimal (self-)running inflation: metric vs. Palatini formulation
• New class of hybrid metric-Palatini scalar-tensor theories of gravity
• General slow-roll inflation in $f(R)$ gravity under the Palatini approach
• Multiple point criticality principle and Coleman-Weinberg inflation
• On the number of $e$-folds in the Jordan and Einstein frames
• Post-inflationary phases stiffer than radiation and Palatini formulation
• Bimetric-Affine Quadratic Gravity
• Natural-Scalaron Inflation
• Extended interactions in the Palatini-$R^2$ inflation
• Natural Inflation with non minimal coupling to gravity in $R^2$ gravity under the Palatini formalism
• Natural Metric-Affine Inflation
• Constant-Roll Inflation in modified $f(R,\varphi )$ gravity model using Palatini Formalism
• Inflation and reheating in quadratic metric-affine gravity with derivative couplings
• Reheating constraints on modified single-field Natural Inflation models
• Issues in Palatini ${\mathcal{R}}^2$ inflation: Bounds on the Reheating Temperature
• Bump-hunting in the diffuse flux of high-energy cosmic neutrinos
• Quintessential Inflation in Palatini Gravity
• Late time acceleration in Palatini gravity
• Beyond (and back to) Palatini quadratic gravity and inflation
• $\tilde{\xi }$-attractors in metric-affine gravity
• General Einstein-Cartan quadratic gravity with derivative couplings
• Quantum gravitational corrections to the inflationary power spectra in scalar-tensor theories
• Palatini approach and large-scale magnetogenesis
• Nonminimally Assisted Inflation: A General Analysis
• Neutron Stars in Palatini $R+\alpha R^2$ and $R+\alpha R^2+\beta Q$ Theories
• Double inflation via non-minimally coupled spectator
• Isocurvature modes and non-Gaussianity in affine inflation
• Natural inflation in Palatini $F(R,X)$
• Is natural inflation in agreement with CMB data?
• Toward a gravitational network: Bridging metric-affine gravity and no-scale supergravity
• Natural inflation in Palatini $F(R)$
• Scalar-Induced Gravitational Waves in Palatini $f(R)$ Gravity
• Cosmic inflation in metric-affine gravity
• Inflationary assessment of $F(\mathcal{R},\tilde{\mathcal{R}})$ Einstein-Cartan models
• Large Field Polynomial Inflation in Palatini $f(R,\varphi )$ Gravity