On the effect of renormalization group improvement on the cosmological power spectrum

Asymptotically safe quantum gravity predicts running gravitational and cosmological constants, while it remains a meaningful quantum field theory because of the existence of a finite number of non-Gaussian ultraviolet fixed points. We have investigated the effect of such running couplings on the cosmological perturbations. We have obtained the improved Mukhanov–Sassaki equation and solved it for two models. The effect of such running of the coupling constants on the cosmological power spectrum is also studied