Field theory model giving rise to "quintessential inflation" without the cosmological constant and other fine tuning problems
arXiv:hep-th/0007144 · doi:10.1103/PhysRevD.63.025022
Abstract
A field theory is developed based on the idea that the effective action of yet unknown fundamental theory, at energy scale below M_{p} has the form of expansion in two measures: S=\intd^{4}x[ΦL_{1}+\sqrt{-g}L_{2}] where the new measure Φis defined using the third-rank antisymmetric tensor. In the new variables (Einstein frame) all equations of motion take canonical GR form and therefore models are free of the well-known "defects" that distinguish the Brans-Dicke type theories from GR. All novelty is revealed only in an unusual structure of the effective potential U(ϕ) and interactions which turns over intuitive ideas based on our experience in field theory. E.g. the greater Λwe admit in L_{2}, the smaller U(ϕ) will be in the Einstein picture. Field theory models are suggested with explicitly broken global continuos symmetry which in the Einstein frame has the form ϕ\toϕ+const. The symmetry restoration occurs as ϕ\to\infty. A few models are presented where U is produced with the following shape: for ϕ<-M_{p}, U has the form typical for inflation model, e. g. U=λϕ^4 with λ\sim 10^{-14}; forϕ>-M_{p}, U has mainly exponential form U\sim e^{-aϕ/M_{p}} with variable a: a=14 for -M_{p}<ϕ<M_{p} that admits nucleosynthesis; a=2 for ϕ>M_{p} that implies quintessence era. There is no need in any fine tuning to prevent appearance of the CC term or any other terms that could violate flatness of U at ϕ\ggM_{p}. λ\sim 10^{-14} is obtained without fine tuning as well. Quantized matter fields models, including gauge theories with SSB can be incorporated without altering mentioned above results. Direct fermion-inflaton coupling resembles Wetterich's model but it does not lead to any observable effect at present. SSB does not raise any problem with CC.
REVTeX, shorter version (23 pages instead of 33), more convenient for reading
References in corpus (6)
Cited by in corpus (35)
- The Cosmological Constant and Dark Energy
- In the Realm of the Hubble tension a Review of Solutions
- Beyond the Cosmological Standard Model
- Modeling Quintessential Inflation
- Variable gravity: A suitable framework for quintessential inflation
- Quintessential inflation with canonical and noncanonical scalar fields and Planck 2015 results
- Unification of inflation and dark energy {\it à la} quintessential inflation
- A class of quintessential inflation models with parameter space consistent with BICEP2
- Tracing the high energy theory of gravity: an introduction to Palatini inflation
- Inflation and Transition to a Slowly Accelerating Phase from S.S.B. of Scale Invariance
- Tracking quintessential inflation from brane worlds
- String and Brane Models with Spontaneously/Dynamically Induced Tension
- Dark energy: investigation and modeling
- On exact solutions for quintessential (inflationary) cosmological models with exponential potentials
- Fine Tuning Free Paradigm of Two Measures Theory: K-Essence, Absence of Initial Singularity of the Curvature and Inflation with Graceful Exit to Zero Cosmological Constant State
- Exotic Low Density Fermion States in the Two Measures Field Theory: Neutrino Dark Energy
- Slinky Inflation
- SSB of scale symmetry, fermion families and quintessence without the long-range force problem
- Lorentzian Quintessential Inflation
- Quintessential Inflation from Lorentzian Slow Roll
- Geometrical Origin of Fermion Families in SU(2)xU(1) Gauge Theory
- Transition to Zero Cosmological Constant and Phantom Dark Energy as Solutions Involving Change of Orientation of Space-Time Manifold
- What is needed of a scalar field if it is to unify inflation and late time acceleration ?
- Violation of slow-roll in non-minimal inflation
- Conformally Invariant Gauge Theory of 3-Branes in 6D and the Cosmological Constant
- Cosmological Coincidence without Fine Tuning
- A Way to Dynamically Overcome the Cosmological Constant Problem
- Dark energy in hybrid inflation
- Constraining the quintessential -attractor inflation through dynamical horizon exit method
- Possible relationship between initial conditions for inflation and past geodesic incompleteness of the inflationary spacetime
- New physics at low energies and dark matter-dark energy transmutation
- Reheating constraints and the tension in Quintessential Inflation
- The dark(er) side of inflation
- Mirror-extended standard model with spontaneously broken left-right symmetry and its implementation in the course of cosmological evolution
- The Two-Measure Theory and an Overview of Some of its Manifestations