Unifying Inflation with early and late Dark Energy in Multi-Fields: Spontaneously broken scale invariant TMT

Abstract

A unified multi scalar field model with three flat regions is discussed. The three flat regions are the inflation, early and late dark energy epochs. The potential is obtained by a spontaneous breaking of scale invariance generated by Non Riemannian Measures of integration (or Two Measures Theories (TMT)).We define the scale invariant couplings of the scalar fields to the different measures through exponential potentials. Spontaneous breaking of scale invariance takes place when integrating the fields that define the measures. When going to the Einstein frame we obtain: (i) An effective potential for the scalar fields with three flat regions which allows for a unified description of both early universe inflation (in the higher energy density flat region) as well as of present dark energy epoch which can be realized with a double phase, i.e., in two flat regions. (ii) In the slow roll inflation, only one field combination the ``dilaton", which transforms under scale transformations, has non trivial dynamics, the orthogonal one, which is scale invariant remains constant. (iv) In the late universe we define scale invariant couplings of Dark Matter to the dilaton. These couplings define a matter induced potential for the dilaton and extremizing this potential determines the scale invariant scalar field, while all exotic non canonical behavior of the Dark Matter as well as any possible $5^{th}$ force disappear. (v) We calculate the evolution of the late universe under these conditions with the realization of two different possible realizations of $\Lambda$CDM type scenarios depending of the flat region in the late universe. These two phases could appear at different times in the history of the universe.(vi) From the Planck data, we find the constraints on the parameters during the inflationary epoch and these values are used to obtain constraints relevant to the present epoch.

18 pages and 3 figures

References in corpus (20)

• Dynamics of dark energy
• Observational Signatures and Non-Gaussianities of General Single Field Inflation
• BICEP / Keck XIII: Improved Constraints on Primordial Gravitational Waves using Planck, WMAP, and BICEP/Keck Observations through the 2018 Observing Season
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• The trouble with $H_0$
• Solar system and equivalence principle constraints on f(R) gravity by chameleon approach
• Perturbations in generalized multi-field inflation
• Dark energy from the string axiverse
• Emergent Cosmology, Inflation and Dark Energy
• A two measure model of dark energy and dark matter
• Generalization of cosmological attractor approach to Einstein-Gauss-Bonnet gravity
• Reconstructing inflation in scalar-torsion $f(T,\varphi )$ gravity
• Scale Symmetry Breaking From Total Derivative Densities and the Cosmological Constant Problem
• Absence of the Fifth Force Problem in a Model with Spontaneously Broken Dilatation Symmetry
• Quintessential Inflation from Lorentzian Slow Roll
• Metric-Independent Measures for Supersymmetric Extended Object Theories on Curved Backgrounds
• Implications of the Spectrum of Dynamically Generated String Tension Theories
• What is needed of a scalar field if it is to unify inflation and late time acceleration ?
• The effect of curvature in thawing models
• Light Like Segment Compactification and Braneworlds with Dynamical String Tension

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• Thermodynamics of a Non-canonical $f(\bar{R},\bar{T})$ gravity
• Possible relationship between initial conditions for inflation and past geodesic incompleteness of the inflationary spacetime
• Non-Affine Extensions of the Raychaudhuri Equation in the K-essence Framework
• Inflation in a scalar-vector gravity theory