The quantum gravitational field theory and the domains of its fix points for inflationary or low-redshift universe

Abstract

We study a quantum field theory for the Einstein–Cartan gravity and the domain of its ultraviolet unstable (stable) fixed point [Formula: see text] [Formula: see text] of running gravitational constant [Formula: see text], where inflationary (low-redshift) universe can be realized as the basic space-time cutoff [Formula: see text] approaching to the Planck length [Formula: see text]. Because the fundamental operators of quantum gravitational field theory are dimension-2 area operators, the cosmological constant is inversely proportional to the squared correlation length [Formula: see text]. The correlation length [Formula: see text] characterizes an infrared size of a causally correlate patch of the universe. The quantitative description of low-redshift universe in the scaling-invariant region of fixed point [Formula: see text] is given, and its deviation from the [Formula: see text]CDM can be examined by recent cosmological observations, such as supernova Type Ia.