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2016

Towards apparent convergence in asymptotically safe quantum gravity

Denz, Tobias, Pawlowski, Jan M., Reichert, Manuel

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The asymptotic safety scenario in gravity is accessed within the systematic vertex expansion scheme for functional renormalisation group flows put forward in \cite{Christiansen:2012rx,Christiansen:2014raa}, and implemented in \cite{Christiansen:2015rva} for propagators and three-point functions.

In the present work this expansion scheme is extended to the dynamical graviton four-point function.
For the first time, this provides us with a closed flow equation for the graviton propagator: all vertices and propagators involved are computed from their own flows.
In terms of a covariant operator expansion the current approximation gives access to $\Lambda$, $R$, $R^2$ as well as $R_{\mu\nu}^2$ and higher derivative operators.

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