Asymptotic safety in an interacting system of gravity and scalar matter
Abstract
Asymptotic safety is an attractive scenario for the dynamics of quantum spacetime. Here, we work from a phenomenologically motivated point of view and emphasize that a viable dynamics for quantum gravity in our universe must account for the existence of matter. In particular, we explore the scale-dependence of a scalar matter-gravity-vertex, and investigate whether an interacting fixed point exists for the so-defined Newton coupling. We find a viable fixed point in the pure-gravity system, disregarding scalar quantum fluctuations. We explore its extensions to the case with dynamical scalars, and find indications of asymptotic safety in the matter-gravity system. We moreover examine the anomalous dimensions for different components of the metric fluctuations, and find significant differences between the transverse traceless and scalar component.
Keywords
Cite
@article{arxiv.1512.01589,
title = {Asymptotic safety in an interacting system of gravity and scalar matter},
author = {Pietro Donà and Astrid Eichhorn and Peter Labus and Roberto Percacci},
journal= {arXiv preprint arXiv:1512.01589},
year = {2016}
}
Comments
An error in the beta function has been corrected; some results have changed slightly, the conclusions remain unchanged