Running vacuum and H^4-inflation

Abstract

Recent studies of QFT in cosmological spacetime indicate that the speeding up of the present universe may not just be associated with a rigid cosmological term but with a running one that evolves with the expansion rate: $\Lambda =\Lambda (H)$. This running is inherited from the cosmic evolution of the vacuum energy density (VED), ${\rho }_{\mathrm{vac}}$, which is sensitive to quantum effects in curved spacetime that ultimately trigger that running. The VED is a function of the Hubble rate and its time derivatives: ${\rho }_{\mathrm{vac}}={\rho }_{\mathrm{vac}}(H,\dot{H},\ddot{H},...)$. Two nearby points of the cosmic evolution during the FLRW epoch are smoothly related as $\delta {\rho }_{\mathrm{vac}}\sim \mathcal{O}(H^2)$. In the very early universe, in contrast, the higher powers of the Hubble rate take over and bring about a period of fast inflation. They originate from quantum effects on the effective action of vacuum, which we compute. Herein we focus on the lowest possible power for inflation to occur: $H^4$. During the inflationary phase, $H$ remains approximately constant and very large. Subsequently, the universe enters the usual FLRW radiation epoch. This new mechanism (`RVM-inflation') is not based on any supplementary `inflaton' field, it is fueled by pure QFT effects on the dynamical background and is different from Starobinsky's inflation, in which $H$ is never constant.

Version accepted in Universe. Typos corrected, extended discussion and references added

References in corpus (13)

• Dynamics of dark energy
• Horndeski theory and beyond: a review
• Dark energy: a quantum fossil from the inflationary Universe?
• The $\bar{\Lambda }CDM$ cosmology: from inflation to dark energy through running $\Lambda$
• Running vacuum in quantum field theory in curved spacetime: renormalizing ${\rho }_{vac}$ without $\sim m^4$ terms
• Coupled and uncoupled early dark energy, massive neutrinos and the cosmological tensions
• Big Bang Nucleosynthesis constraints on higher-order modified gravities
• Nonsingular Decaying Vacuum Cosmology and Entropy Production
• Vacuum energy and cosmological evolution
• Do we Come from a Quantum Anomaly?
• Running gravitational couplings, decoupling, and curved spacetime renormalization
• Quantum-Ordering Ambiguities in Weak Chern-Simons 4D Gravity and Metastability of the Condensate-Induced Inflation
• Composite running vacuum in the Universe: implications on the cosmological tensions