Conformal Inflation Coupled to Matter

Abstract

We formulate new conformal models of inflation and dark energy which generalise the Higgs-Dilaton scenario. We embed these models in unimodular gravity whose effect is to break scale invariance in the late time Universe. In the early Universe, inflation occurs close to a maximum of both the scalar potential and the scalar coupling to the Ricci scalar in the Jordan frame. At late times, the dilaton, which decouples from the dynamics during inflation, receives a potential term from unimodular gravity and leads to the acceleration of the Universe. We address two central issues in this scenario. First we show that the Damour-Polyalov mechanism, when non-relativistic matter is present prior to the start of inflation, sets the initial conditions for inflation at the maximum of the scalar potential. We then show that conformal invariance implies that matter particles are not coupled to the dilaton in the late Universe at the classical level. When fermions acquire masses at low energy, scale invariance is broken and quantum corrections induce a coupling between the dilaton and matter which is still small enough to evade the gravitational constraints in the solar system.

24 pages

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Cited by in corpus (15)

• Equivalence of the Einstein and Jordan frames
• No fifth force in a scale invariant universe
• Symmetron Scalar Fields: Modified Gravity, Dark Matter or Both?
• Fifth forces, Higgs portals and broken scale invariance
• Conformal inflation in the metric-affine geometry
• Minimal $k$-inflation in light of the conformal metric-affine geometry
• Non-canonical inflation coupled to matter
• Fifth forces and broken scale symmetries in the Jordan frame
• Fifth-Force Screening around Extremely Compact Sources
• Scale Invariant Gravity and Black Hole Ringdown
• Screening the Higgs portal
• Solving the Cosmological Entropy Issue with a Higgs Dilaton
• Conformal inflation with chameleon coupling
• Quantum corrections to symmetron fifth-force profiles
• Fifth forces and discrete symmetry breaking