6533b857fe1ef96bd12b4554

RESEARCH PRODUCT

Finite Entanglement Entropy in Asymptotically Safe Quantum Gravity

Carlo PaganiMartin Reuter

subject

PhysicsHigh Energy Physics - TheoryNuclear and High Energy Physics010308 nuclear & particles physicsQuantum dynamicsAsymptotic safety in quantum gravityFOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)Quantum entanglementRenormalization group01 natural sciencesGeneral Relativity and Quantum CosmologySpacetime geometryTheoretical physicsQuadratic equationHigh Energy Physics - Theory (hep-th)0103 physical sciencesModels of Quantum Gravitylcsh:QC770-798Quantum gravityRenormalization Grouplcsh:Nuclear and particle physics. Atomic energy. RadioactivityQuantum field theory010306 general physics

description

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.

10.1007/jhep07(2018)039http://arxiv.org/abs/1804.02162