Joan Solà Peracaula🇪🇸
The concordance ΛCDM model, based on a rigid Λ-term for the entire cosmic history, has been in crisis for a long time. In our expanding Universe, an evolving Λ with the expansion is intuitively much more reasonable. In the running vacuum model (RVM) framework, based on quantum field theory (QFT) in curved spacetime, quantum effects induce a vacuum energy density (VED) ρvac=Λ/(8πG) which is a function of the Hubble rate H and its time derivatives, ρvac=ρvac(H,H˙,H¨,…). Currently, ρvac evolves very slowly with the expansion, δρvac∼O(mPl2H2), and this fact provides a possible fundamental origin of dark energy (DE), conceived as dynamical vacuum energy. In the RVM, Newton's G is also evolving, but much more slowly (logarithmically with H): G=G(lnH). In the very early universe, the vacuum fluctuations induce higher (even) powers, e.g. ∼H4, capable of triggering fast inflation in a very short period, in which H is very large and approximately constant. This is the mechanism of `RVM-inflation'. It does not require an `inflaton' field since inflation is brought about by pure QFT effects on the dynamical background. It differs from Starobinsky's inflation, where H is never constant. Furthermore, the dynamics of ρvac(H) and G(H) can also have implications on the frequently discussed possibility that the fundamental `constants' of Nature can be mildly evolving with the cosmic expansion. Putting things together, a unified QFT framework of dark energy and inflation ensues as a realistic theory for the description of the universe as a whole on fundamental grounds. In it, dynamical VED is predicted and is much welcomed, since it fits in with current DESI measurements, preferring dynamical DE over a rigid Λ term.
↳ gr-qcastro-ph.COhep-phhep-thInt.J.Mod.Phys.A(2026)·5 citations