Inflation and reheating in scale-invariant scalar-tensor gravity

Abstract

We consider the scale-invariant inflationary model studied in [1]. The Lagrangian includes all the scale-invariant operators that can be built with combinations of $R$, $R^2$ and one scalar field. The equations of motion show that the symmetry is spontaneously broken after an arbitrarily long inflationary period and a fundamental mass scale is generated. Upon symmetry breaking, and in the Jordan frame, both Hubble function and the scalar field undergo damped oscillations that can eventually amplify Standard Model fields and reheat the Universe. In the present work, we study in detail inflation and the reheating mechanism of this model in the Einstein frame and we compare some of the results with the latest observational data.

arXiv commentSection 4 changed. We explicitly show that inflation is effectively one-field driven. Accepted for publication on "General Relativity and Gravitation"

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Cited by in corpus (34)

• Palatini inflation in models with an $R^2$ term
• Selected topics in scalar-tensor theories and beyond
• Frame-dependence of higher-order inflationary observables in scalar-tensor theories
• Coleman-Weinberg linear inflation: metric vs. Palatini formulation
• Dynamically induced Planck scale and inflation in the Palatini formulation
• Constant-Roll (Quasi-)Linear Inflation
• Scale-Invariant Quadratic Gravity and Inflation in the Palatini Formalism
• Nonminimal Coleman--Weinberg Inflation with an $R^2$ term
• Scale independent $R^2$ inflation
• Scale Invariant FIMP Miracle
• Scale-invariant inflation with one-loop quantum corrections
• What is needed of a scalar field if it is to unify inflation and late time acceleration ?
• Importance of being nonminimally coupled: Scalar Hawking radiation from regular black holes
• Testing scale-invariant inflation against cosmological data
• Inflation and primordial gravitational waves in scale-invariant quadratic gravity with Higgs
• Scale Invariant Gravity and Black Hole Ringdown
• Wyman's "other" scalar field solution, Sultana's generalization, and their Brans-Dicke and $R^2$ relatives
• Canonical Scalar Field Inflation with a Woods-Saxon Potential
• Radiative Plateau Inflation with Conformal Invariance: Dynamical Generation of Electroweak and Seesaw Scales
• Inflation and dark matter after spontaneous Planck scale generation by hidden chiral symmetry breaking
• Minima of Classically Scale-Invariant Potentials
• Inflation with $f(R,\varphi )$ in Jordan frame
• Inflation and Scale-invariant $R^2$-Gravity
• On the stability of scale-invariant black holes
• Dark matter and Standard Model reheating from conformal GUT inflation
• Electroweak symmetry breaking by gravity
• Scale-invariant inflation
• Significance of soft-scale breaking on primordial black hole production in Coleman-Weinberg type supercooling-phase transition
• No-scale Brans-Dicke Gravity -- ultralight scalar boson & heavy inflaton
• Dynamical generation of electroweak scale from the conformal sector: A strongly coupled Higgs via the Dyson--Schwinger approach
• Vacuum decay and quadratic gravity: the massive case
• $p$-Branes with $Ad{S}_{p+1}$ vacuum as models of $R^2$ gravity
• Non-perturbative Origin of Electroweak Scale via Higgs-portal: Dyson-Schwinger in Conformally Invariant Scalar Sector
• Non-perturbative Origin of the Electroweak Scale: RGE in Strongly-coupled Dark Gauge Theories via Dyson-Schwinger