Tearing down spacetime with quantum disentanglement
arXiv:2312.06803 · doi:10.1007/JHEP03(2024)078
Abstract
A longstanding enigma within AdS/CFT concerns the entanglement entropy of holographic quantum fields in Rindler space. The vacuum of a quantum field in Minkowski spacetime can be viewed as an entangled thermofield double of two Rindler wedges at a temperature . We can gradually disentangle the state by lowering this temperature, and the entanglement entropy should vanish in the limit to the Boulware vacuum. However, holography yields a non-zero entanglement entropy at arbitrarily low , since the bridge in the bulk between the two wedges retains a finite width. We show how this is resolved by bulk quantum effects of the same kind that affect the entropy of near-extremal black holes. Specifically, a Weyl transformation maps the holographic Boulware states to near-extremal hyperbolic black holes. A reduction to an effective two-dimensional theory captures the large quantum fluctuations in the geometry of the bridge, which bring down to zero the density of entangled states in the Boulware vacuum. Using another Weyl transformation, we construct unentangled Boulware states in de Sitter space.
arXiv comment14 pages. v2: 15 pages. Added section on disentangling deSitter and appendix on 2d Rindler entanglement. Other minor improvements and refs added. v3: ref added. Matches published version
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