Abstract
We study the infrared effective theory of gravity that stems from the quantum trace anomaly. Quantum fluctuations of the metric induce running of the cosmological constant and the Newton constant at cosmological scales. By imposing the generalized Bianchi identity we obtain a prediction for the scale dependence of the dark matter and dark energy densities in terms of the parameters of the underlying conformal theory. For certain values of the model parameters the dark energy equation of state and the observed spectral index of the primordial density fluctuations can be simultaneously reproduced.
Highlights
The evidence of the cosmic acceleration presumably driven by dark energy (DE) with negative pressure [1] and precise measurements of the cosmic microwave background radiation [2, 3] have triggered a renewed interest in the cosmological constant [4]
The running scale, intuitively expected to be of the order of typical momenta of the particles in loops, cannot be fixed unambiguously. It has been shown [12] that a consistent infrared modification of gravity due to the quantum trace anomaly implies the presence of additional terms in the low energy effective
We have studied some DE and dark matter (DM) aspects of the low energy effective theory of gravity
Summary
The evidence of the cosmic acceleration presumably driven by dark energy (DE) with negative pressure [1] and precise measurements of the cosmic microwave background radiation [2, 3] have triggered a renewed interest in the cosmological constant [4]. Among different approaches to study the cosmological constant a convenient framework is based on the effective field theory [5, 6] This theory is a long distance realization of quantum gravity reduced to the general theory of relativity supplemented by the quantum field theory in curved space [7, 8]. The running scale, intuitively expected to be of the order of typical momenta of the particles in loops, cannot be fixed unambiguously. It has been shown [12] that a consistent infrared modification of gravity due to the quantum trace anomaly implies the presence of additional terms in the low energy effective.
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