Finite entanglement entropy in asymptotically safe quantum gravity

Carlo Pagani,Martin Reuter

doi:10.1007/jhep07(2018)039

Carlo Pagani, Martin Reuter

Open Access

https://doi.org/10.1007/jhep07(2018)039

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Abstract

Entanglement entropies calculated in the framework of quantum field theory on classical, flat or curved, spacetimes are known to show an intriguing area law in four dimensions, but they are also notorious for their quadratic ultraviolet divergences. In this paper we demonstrate that the analogous entanglement entropies when computed within the Asymptotic Safety approach to background independent quantum gravity are perfectly free from such divergences. We argue that the divergences are an artifact due to the over-idealization of a rigid, classical spacetime geometry which is insensitive to the quantum dynamics.

Highlights

JHEP07(2018)039 more complicated base space, a kind of Riemann surface which may cover the original base space more than once
In this paper we demonstrate that the analogous entanglement entropies when computed within the Asymptotic Safety approach to background independent quantum gravity are perfectly free from such divergences
We show how it relates in a natural way to the Effective Average Action (EAA), the scale dependent functional that is used in the Asymptotic Safety program

Summary

Introduction

JHEP07(2018)039 more complicated base space, a kind of Riemann surface which may cover the original base space more than once. Abstract: Entanglement entropies calculated in the framework of quantum field theory on classical, flat or curved, spacetimes are known to show an intriguing area law in four dimensions, but they are notorious for their quadratic ultraviolet divergences. In this paper we demonstrate that the analogous entanglement entropies when computed within the Asymptotic Safety approach to background independent quantum gravity are perfectly free from such divergences.

Results

Conclusion