Large N Quantum Gravity

Abstract

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.

19 pages, 1 figure, contribution published in "New Journal of Physics Focus Issue on Quantum Einstein Gravity"

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• On the covariant formalism of the effective field theory of gravity and leading order corrections
• Computing the Effective Action with the Functional Renormalization Group
• Vacuum effective actions and mass-dependent renormalization in curved space
• Marginally Deformed Starobinsky Gravity
• The cosmological constant and the use of cutoffs
• RG flow equations for the proper-vertices of the background effective average action
• Scaling and Renormalization in two dimensional Quantum Gravity
• A functional RG equation for the c-function
• Renormalization Group Flow of Hexatic Membranes
• A renormalization group improved computation of correlation functions in theories with non-trivial phase diagram