Cosmological implications of the transition from the false vacuum to the true vacuum state

Abstract

We study the cosmology with the running dark energy. The parametrization of dark energy with the respect to the redshift is derived from the first principles of quantum mechanics. Energy density of dark energy is obtained from the quantum process of transition from the false vacuum state to the true vacuum state. This is the class of the extended interacting $\Lambda$CDM models. We consider the energy density of dark energy parametrization ${\rho }_{\text{de}}(t)$, which follows from the Breit-Wigner energy distribution function which is used to model the quantum unstable systems. The idea that properties of the process of the quantum mechanical decay of unstable states can help to understand the properties of the observed universe was formulated by Krauss and Dent and this idea was used in our considerations. In the cosmological model with the mentioned parametrization there is an energy transfer between the dark matter and dark energy. In such a evolutional scenario the universe is starting from the false vacuum state and going to the true vacuum state of the present day universe. We find that the intermediate regime during the passage from false to true vacuum states takes place. The intensity of the analyzed process is measured by a parameter $\alpha$. For the small value of $\alpha$ ($0<\alpha <0.4$) this intermediate (quantum) regime is characterized by an oscillatory behavior of the density of dark energy while the for $\alpha >0.4$ the density of the dark energy simply jumps down. In both cases (independent from the parameter $\alpha$) the today value of density of dark energy is reached at the value of $0.7$. We estimate the cosmological parameters for this model with visible and dark matter. This model becomes in good agreement with the astronomical data and is practically indistinguishable from $\Lambda$CDM model.

14 pages, 16 figures

References in corpus (12)

• Dynamics of dark energy
• The 2dF-SDSS LRG and QSO Survey: The LRG 2-Point Correlation Function and Redshift-Space Distortions
• New derivation of the Lagrangian of a perfect fluid with a barotropic equation of state
• The Late Time Behavior of False Vacuum Decay: Possible Implications for Cosmology and Metastable Inflating States
• Metastable dark energy
• Inflation After False Vacuum Decay: New Evidence from BICEP2
• Cosmological model with decaying vacuum energy law from principles of quantum mechanics
• A quantum long time energy red shift: a contribution to varying $\alpha$ theories
• Properties of the false vacuum as the quantum unstable state
• Cosmology with a decaying vacuum
• Age-dependent decay in the landscape
• Late Time Decay of the False Vacuum, Measurement, and Quantum Cosmology

Cited by in corpus (15)

• Fractional dark energy
• Emergence of dynamical dark energy from polynomial $f(R)$ theory in Palatini formalism
• Protecting the Stability of the EW Vacuum from Planck-Scale Gravitational Effects
• Impact of New Physics on the EW vacuum stability in a curved spacetime background
• A note on interacting holographic dark energy with a Hubble-scale cutoff
• Cosmological perturbations and dynamical analysis for interacting quintessence
• Constraints on interacting dark energy revisited: implications for the Hubble tension
• Interacting dark energy in the dark $SU(2{)}_R$ model
• Dark energy, scalar singlet dark matter and the Higgs portal
• Non-linear logarithmic interactions and a varying polytropic gas
• Statistical physics of the inflaton decaying in an inhomogeneous random environment
• A universe born in a metastable false vacuum state needs not die
• Phenomenological modification of horizon temperature
• Cosmological "constant" in a universe born in the metastable false vacuum state
• Semi-classical Einstein equations:descend to the ground state