The effect of de Sitter like background on increasing the zero point budget of dark energy

TL;DR

This paper investigates how a de Sitter-like background influences the zero point energy of quantum fields and its implications for dark energy, using subtraction renormalization and observational data comparisons.

Contribution

It introduces a novel analysis of quantum fluctuations in a de Sitter background and their impact on dark energy density, aligning theoretical models with observational data.

Findings

Best fit for slow roll parameter $$ from spectral index data.

Derived vacuum energy density for massless scalar fields.

Interaction models with dissipation functions match observational data.

Abstract

During this work, using subtraction renormalization mechanism, zero point quantum fluctuations for bosonic scalar fields in a de-Sitter like background are investigated. By virtue of the observed value for spectral index, $n_s(k)$, for massive scalar field the best value for the first slow roll parameter, $\epsilon$, is achieved. In addition the energy density of vacuum quantum fluctuations for massless scalar field is obtained. The effects of these fluctuations on other components of the Universe are studied. By solving the conservation equation, for some different examples, the energy density for different components of the Universe are obtained. In the case which, all components of the Universe are in an interaction, the different dissipation functions, $\tilde{Q}_{i}$, are considered. The time evolution of ${\rho_{DE}(z)}/{\rho_{cri}(z)}$ shows that $\tilde{Q}=3 \gamma H(t) \rho_{m}$ has best agreement in comparison to observational data including CMB, BAO and SNeIa data set.