Violation of the quantum null-energy condition in a holographic wormhole and infrared effects

Akihiro Ishibashi, Kengo Maeda, Eric Mefford

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We examine the quantum null energy condition (QNEC) for a 2+1-dimensional conformal field theory (CFT) at strong coupling in the background of a wormhole spacetime by employing the AdS/CFT correspondence. First, we numerically construct a novel 3+1-dimensional vacuum AdS black hole solution with nontrivial topology, which is dual to a wormhole geometry connecting two flat universes. Although the bulk null energy condition (NEC) is not violated, the NEC for the holographic stress-energy tensor is violated near the wormhole throat. Next, we investigate the entanglement entropy for a half-space anchored to the boundary wormhole throat. We propose a natural prescription for regularizing the IR divergent part of the entanglement entropy and show that the QNEC is violated at the throat. This is the first counterexample to the QNEC, indicating that IR effects are crucial.

Original languageEnglish
Article number026004
JournalPhysical Review D
Volume99
Issue number2
DOIs
Publication statusPublished - 2019 Jan 15

Fingerprint

throats
energy
entropy
half spaces
topology
universe
tensors
vacuum
geometry

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

Violation of the quantum null-energy condition in a holographic wormhole and infrared effects. / Ishibashi, Akihiro; Maeda, Kengo; Mefford, Eric.

In: Physical Review D, Vol. 99, No. 2, 026004, 15.01.2019.

Research output: Contribution to journalArticle

@article{2bd421e3a5914c7d9ef358d8e6b8b260,
title = "Violation of the quantum null-energy condition in a holographic wormhole and infrared effects",
abstract = "We examine the quantum null energy condition (QNEC) for a 2+1-dimensional conformal field theory (CFT) at strong coupling in the background of a wormhole spacetime by employing the AdS/CFT correspondence. First, we numerically construct a novel 3+1-dimensional vacuum AdS black hole solution with nontrivial topology, which is dual to a wormhole geometry connecting two flat universes. Although the bulk null energy condition (NEC) is not violated, the NEC for the holographic stress-energy tensor is violated near the wormhole throat. Next, we investigate the entanglement entropy for a half-space anchored to the boundary wormhole throat. We propose a natural prescription for regularizing the IR divergent part of the entanglement entropy and show that the QNEC is violated at the throat. This is the first counterexample to the QNEC, indicating that IR effects are crucial.",
author = "Akihiro Ishibashi and Kengo Maeda and Eric Mefford",
year = "2019",
month = "1",
day = "15",
doi = "10.1103/PhysRevD.99.026004",
language = "English",
volume = "99",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Physical Society",
number = "2",

}

TY - JOUR

T1 - Violation of the quantum null-energy condition in a holographic wormhole and infrared effects

AU - Ishibashi, Akihiro

AU - Maeda, Kengo

AU - Mefford, Eric

PY - 2019/1/15

Y1 - 2019/1/15

N2 - We examine the quantum null energy condition (QNEC) for a 2+1-dimensional conformal field theory (CFT) at strong coupling in the background of a wormhole spacetime by employing the AdS/CFT correspondence. First, we numerically construct a novel 3+1-dimensional vacuum AdS black hole solution with nontrivial topology, which is dual to a wormhole geometry connecting two flat universes. Although the bulk null energy condition (NEC) is not violated, the NEC for the holographic stress-energy tensor is violated near the wormhole throat. Next, we investigate the entanglement entropy for a half-space anchored to the boundary wormhole throat. We propose a natural prescription for regularizing the IR divergent part of the entanglement entropy and show that the QNEC is violated at the throat. This is the first counterexample to the QNEC, indicating that IR effects are crucial.

AB - We examine the quantum null energy condition (QNEC) for a 2+1-dimensional conformal field theory (CFT) at strong coupling in the background of a wormhole spacetime by employing the AdS/CFT correspondence. First, we numerically construct a novel 3+1-dimensional vacuum AdS black hole solution with nontrivial topology, which is dual to a wormhole geometry connecting two flat universes. Although the bulk null energy condition (NEC) is not violated, the NEC for the holographic stress-energy tensor is violated near the wormhole throat. Next, we investigate the entanglement entropy for a half-space anchored to the boundary wormhole throat. We propose a natural prescription for regularizing the IR divergent part of the entanglement entropy and show that the QNEC is violated at the throat. This is the first counterexample to the QNEC, indicating that IR effects are crucial.

UR - http://www.scopus.com/inward/record.url?scp=85060895427&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85060895427&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.99.026004

DO - 10.1103/PhysRevD.99.026004

M3 - Article

AN - SCOPUS:85060895427

VL - 99

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 2

M1 - 026004

ER -