We present a brief, and to a great extent, pedagogical, review on renormalization in curved
spacetime and some recent results on the derivation and better understanding of quantum …

The dawn of the twenty-first century came with very positive prospects for gravity, cosmology,
and astrophysics. Technological progress made it possible for cosmology to enter to its …

The cosmological constant (CC) term in Einstein's equations, Λ, was first associated to the
idea of vacuum energy density. Notwithstanding, it is well-known that there is a huge, in fact …

Even if the fundamental action of gravity is local, the corresponding quantum effective action,
that includes the effect of quantum fluctuations, is a nonlocal object. These nonlocalities are …

We suggest and briefly review a new sort of superrenormalizable models of higher
derivative quantum gravity. The higher derivative terms in the action can be introduced in …

Despite the many outstanding cosmological observations leading to a strong evidence for a
non-vanishing cosmological constant (CC) term Λ in the gravitational field equations, the …

We construct a semiclassical Friedmann–Lemaı̂tre–Robertson–Walker (FLRW)
cosmological model assuming a running cosmological constant (CC). It turns out that the CC …

The gravitational asymptotic safety program envisions a high-energy completion of the
gravitational interactions by an interacting renormalization group fixed point, the Reuter fixed …

Asymptotic Safety implies that observables including scattering amplitudes remain finite at
the highest energy scales. Traditionally, this feature is connected to an interacting fixed point …

Within the quantum field theory context the idea of acosmological constant'(CC) evolving
with time looks quite natural as it just reflects the change of the vacuum energy with the …