Emergent scale symmetry: Connecting inflation and dark energy

Abstract

Quantum gravity computations suggest the existence of an ultraviolet and an infrared fixed point where quantum scale invariance emerges as an exact symmetry. We discuss a particular variable gravity model for the crossover between these fixed points which can naturally account for inflation and dark energy, using a single scalar field. In the Einstein-frame formulation the potential can be expressed in terms of Lambert functions, interpolating between a power-law inflationary potential and a mixed-quintessence potential. For two natural heating scenarios, the transition between inflation and radiation domination proceeds through a "graceful reheating" stage. The radiation temperature significantly exceeds the temperature of big bang nucleosynthesis. For this type of model, the observable consequences of the heating process can be summarized in a single parameter, the heating efficiency. Our quantitative analysis of compatibility with cosmological observations reveals the existence of realistic models able to describe the whole history of the Universe using only a single metric and scalar field and involving just a small number of order one parameters.

arXiv comment22 pages, 13 figures, matches the version published in PRD, added clarifications and references, corrected typos

References in corpus (58)

• Planck 2015 results. XIII. Cosmological parameters
• Cosmology and the Fate of Dilatation Symmetry
• Towards the Theory of Reheating After Inflation
• Exponential potentials and cosmological scaling solutions
• Gravitational Wave Experiments and Early Universe Cosmology
• Varying constants, Gravitation and Cosmology
• Quintessential inflation
• Dark Energy from Mass Varying Neutrinos
• The Atacama Cosmology Telescope: Cosmological parameters from three seasons of data
• Instant Preheating
• Deflationary Universe Scenario
• Quantum scale invariance, cosmological constant and hierarchy problem
• Production and detection of relic gravitons in quintessential inflationary models
• Scale invariance, unimodular gravity and dark energy
• Higgs-Dilaton Cosmology: From the Early to the Late Universe
• Preheating of Fermions
• Thawing quintessence with a nearly flat potential
• Inflation and Preheating in NO models
• Growing Matter
• Gravitational waves constraints on post-inflationary phases stiffer than radiation
• Growing neutrinos and cosmological selection
• On the Theory of Fermionic Preheating
• String Theory and Inflation
• Cosmology of Mass-Varying Neutrinos Driven by Quintessence: Theory and Observations
• Quintessential Inflation with $\alpha$-attractors
• Reheating After Quintessential Inflation and Gravitational Waves
• Higgs-Dilaton Cosmology: an effective field theory approach
• Observational Constraints on Quintessence: Thawing, Tracker, and Scaling models
• Variable gravity: A suitable framework for quintessential inflation
• Variable gravity Universe
• Quintessential Inflation on the Brane and the Relic Gravity Wave Background
• Curvaton Reheating in Non-oscillatory Inflationary Models
• How early is early dark energy?
• Scale-Independent Inflation and Hierarchy Generation
• Neutrino clustering in growing neutrino quintessence
• Weyl Current, Scale-Invariant Inflation and Planck Scale Generation
• Structure Formation and the Time Dependence of Quintessence
• The Curvaton Hypothesis and the eta-problem of Quintessential Inflation, with and without Branes
• Observational constraints on successful model of quintessential Inflation
• Curvaton reheating: an application to braneworld inflation
• Inflation, quintessence, and the origin of mass
• On the geometrical interpretation of scale-invariant models of inflation
• Graviton fluctuations erase the cosmological constant
• Scaling solutions for Dilaton Quantum Gravity
• A Universe without expansion
• Higgs-Dilaton cosmology: Are there extra relativistic species?
• Higgs-Dilaton cosmology: Universality vs. criticality
• Steep Inflation followed by Born-Infeld Reheating
• Gravitational reheating in quintessential inflation
• New limits on Early Dark Energy from the South Pole Telescope
• Evolving Planck Mass in Classically Scale-Invariant Theories
• Preheating with Non-Standard Kinetic Term
• Quintessential Inflation in a thawing realization
• Coupling Quintessence to Inflation in Supergravity
• Relic gravitational waves from Quintessential Inflation
• Cosmon inflation
• Dynamics of neutrino lumps in growing neutrino quintessence
• Cosmic fluctuations from quantum effective action

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• Cosmology with the Laser Interferometer Space Antenna
• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• The First Three Seconds: a Review of Possible Expansion Histories of the Early Universe
• Induced gravitational waves in a general cosmological background
• Induced gravitational waves as a probe of thermal history of the universe
• Ability of LIGO and LISA to probe the equation of state of the early Universe
• Non-minimal gravitational reheating during kination
• Graviton fluctuations erase the cosmological constant
• Constraining power of asymptotic safety for scalar fields
• Inflation in a scale invariant universe
• Inertial Spontaneous Symmetry Breaking and Quantum Scale Invariance
• Primordial black holes from fifth forces
• Primordial dark matter halos from fifth forces
• Gravitational waves from global cosmic strings in quintessential inflation
• Reheating in quintessential inflation via gravitational production of heavy massive particles: A detailed analysis
• Hubble-induced phase transitions on the lattice with applications to Ricci reheating
• Higgs-Dilaton Cosmology: An inflation - dark energy connection and forecasts for future galaxy surveys
• A review of Quintessential Inflation
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• Palatini $R^2$ Quintessential Inflation
• Quintessential inflation: A tale of emergent and broken symmetries
• Quintessential Affleck-Dine baryogenesis with non-minimal couplings
• Predictive power of grand unification from quantum gravity
• Warm Little Inflaton becomes Dark Energy
• Boosting Ultraviolet Freeze-in in NO Models
• Quintessential $\alpha$-attractor inflation: forecasts for Stage IV galaxy surveys
• Hubble-induced phase transitions: Walls are not forever
• Scale and Weyl Invariance in Einstein-Cartan Gravity
• Scale-invariant alternatives to general relativity. III. The inflation--dark-energy connection
• From quantum gravity to gravitational waves through cosmic strings
• Infrared limit of quantum gravity
• Inflation as a spontaneous symmetry breaking of Weyl symmetry
• Cosmological constant problem: deflation during inflation
• Fundamental Scale Invariance
• Observational Constraints on Dynamical Dark Energy Models
• Quintessential inflation and cosmological seesaw Mechanism: reheating and observational constraints
• Understanding gravitational particle production in quintessential inflation
• The Peebles -- Vilenkin quintessential inflation model revisited
• Symmetric Scalars
• Different reheating mechanisms in quintessence inflation
• Neutrino masses, vacuum stability and quantum gravity prediction for the mass of the top quark
• Inflation in Weyl-invariant Einstein-Cartan gravity
• Unifying dark matter, dark energy and inflation with a fuzzy dark fluid
• CFT data and spontaneously broken conformal invariance
• Mimicking alternatives to inflation with interacting spectator fields
• Conformal GUT inflation, proton lifetime and non-thermal leptogenesis
• A Walking Dilaton Inflation
• Cosmology from pregeometry
• Observable Gravitational Waves from Hyperkination in Palatini Gravity and Beyond
• Braneworld inflation with effective α-attractor potential
• Scale Invariant Gravity and Black Hole Ringdown
• Renormalization Group for Non-minimal ${\varphi }^{2}R$ Couplings and Gravitational Contact Interactions
• Gravitational Contact Interactions and the Physical Equivalence of Weyl Transformations in Effective Field Theory
• The great emptiness at the beginning of the Universe
• Primordial flat frame -- a new view on inflation
• Present and future of CosmoLattice
• Emergence of cosmological scaling behavior in asymptotic regime
• Gravitational production of superheavy baryonic and dark matter in quintessential inflation: nonconformally coupled case
• Gravitational production of dark matter in the Peebles-Vilenkin model
• Super-horizon resonant magnetogenesis during inflation
• Constraining the quintessential $\alpha$-attractor inflation through dynamical horizon exit method
• The spectrum of Gravitational Waves, their overproduction in quintessential inflation and its influence in the reheating temperature
• Crossing the Big Bang singularity
• Scaling solutions for asymptotically free quantum gravity
• Phasing out of Darkness: From Sterile Neutrino Dark Matter to Neutrino Masses via Time-Dependent Mixing
• The Inflationary Quartic Hilltop Model in a Modified Gravity and Its Comparison with the Observations
• Observational Restrictions and Slow-Roll D-brane Inflation in the Special $F(\varphi ,T)$ Gravity
• Dilaton-induced variations in Planck constant and speed of light: An alternative to Dark Energy
• $F(\varphi )T$-Gravity and Inflationary Natural Model
• Dynamically induced spin-2 mass in a Weyl-invariant framework
• Witten-O'Raifeartaigh potential revisited in the context of Warm Inflation
• A mechanism to generate varying speed of light via Higgs-dilaton coupling: Theory and cosmological applications
• Gravitational particle production of superheavy massive particles in Quintessential Inflation: A numerical analysis
• Higgs-Dilaton Inflation in Einstein-Cartan gravity