Finite entanglement entropy in asymptotically safe quantum gravity
Journal of High Energy Physics
July 2018, 2018:39 | Cite as
Finite entanglement entropy in asymptotically safe quantum gravity
AuthorsAuthors and affiliations
Carlo PaganiMartin Reuter
Open Access
Regular Article - Theoretical Physics
First Online: 06 July 2018
Received: 17 April 2018
Revised: 28 May 2018
Accepted: 29 June 2018
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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.
Keywords Models of Quantum Gravity Renormalization Group
ArXiv ePrint: 1804.02162
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This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
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