Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2011-08-09
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
19 pages, 1 figure, contribution published in "New Journal of Physics Focus Issue on Quantum Einstein Gravity"
Scientific paper
We obtain the effective action of four dimensional quantum gravity, induced by N massless matter fields, by integrating the RG flow of the relative effective average action. By considering the leading approximation in the large N limit, where one neglects the gravitational contributions with respect to the matter contributions, we show how different aspects of quantum gravity, as asymptotic safety, quantum corrections to the Newtonian potential and the conformal anomaly induced effective action, are all represented by different terms of the effective action when this is expanded in powers of the curvature.
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