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arXiv · 1512.01589

Asymptotic safety in an interacting system of gravity and scalar matter

Pietro Donà·Astrid Eichhorn·Peter Labus·Roberto Percacci
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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.

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Pietro Donà, Astrid Eichhorn, Peter Labus, Roberto Percacci. 2016-05-11. Asymptotic safety in an interacting system of gravity and scalar matter. https://doi.org/10.1103/physrevd.93.044049

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