Holographic proof of the averaged null energy condition

Kelly, William R.; Wall, Aron C.

doi:10.1103/physrevd.90.106003

Cited by 59 publications

(75 citation statements)

References 78 publications

(136 reference statements)

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“…In that case, the light rays that focus in one end of the wormhole can defocus when going out the other end. There are reasonable arguments that the ANEC is always obeyed along infinite achronal geodesics [22,31,33,34,55]. 1 This is sufficient to rule out traversable wormholes joining two otherwise disconnected regions of spacetime [22].…”

Section: Introductionmentioning

confidence: 99%

Traversable wormholes via a double trace deformation

Gao

Jafferis

Wall

2017

J. High Energ. Phys.

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460

797

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After turning on an interaction that couples the two boundaries of an eternal BTZ black hole, we find a quantum matter stress tensor with negative average null energy, whose gravitational backreaction renders the Einstein-Rosen bridge traversable. Such a traversable wormhole has an interesting interpretation in the context of ER=EPR, which we suggest might be related to quantum teleportation. However, it cannot be used to violate causality. We also discuss the implications for the energy and holographic entropy in the dual CFT description.

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Section: Introductionmentioning

confidence: 99%

Traversable wormholes via a double trace deformation

Gao

Jafferis

Wall

2017

J. High Energ. Phys.

Self Cite

460

797

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“…We would like to thank the authors of [46] with their permission to use the graph. This work was supported in part by the Ministry of Science and Technology, Taiwan.…”

Section: Acknowledgmentsmentioning

confidence: 99%

“…To find a quantum inequality to constrain the magnitude and duration of negative energy density based upon this holographic setup, we will merely consider quantum critical fields in the z = 1 and 2+1-dimension by following [46]. In this case, the background is just the 3+1-dimensional AdS space and the metric can be written from (2.2) as…”

Section: Jhep09(2016)059mentioning

confidence: 99%

“…conditions for a class of strongly coupled conformal field theories is also studied within the context of AdS/CFT correspondence [46], where the bulk causality can give constraints on the extent of negative energy in boundary field theories. It will be thus of great interest to explore these energy bounds in the specific holographic setup.…”

Section: Jhep09(2016)059mentioning

confidence: 99%

“…Assuming that the integral over energy-momentum tensor and all its derivatives are all finite [46], we may ignore the sub-leading terms if…”

Section: Jhep09(2016)059mentioning

confidence: 99%

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A holographic description of negative energy states

Lee

Yeh

2016

J. High Energ. Phys.

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Using the AdS/CFT duality, we study the expectation value of stress tensor in 2 + 1-dimensional quantum critical theories with a general dynamical scaling z, and explore various constrains on negative energy density for strongly coupled field theories. The holographic dual theory is the theory of gravity in 3+1-dimensional Lifshitz backgrounds. We adopt a consistent approach to obtain the boundary stress tensor from bulk construction, which satisfies the trace Ward identity associated with Lifshitz scaling symmetry. In particular, the boundary stress tensor, constructed from the gravitational wave deformed Lifshitz geometry, is found up to second order in gravitational wave perturbations. The result is compared to its counterpart in free scalar field theory at the same order in an expansion of small squeezing parameters. This allows us to relate the boundary values of gravitational waves to the squeezing parameters of squeezed vacuum states. We find that, in both cases with z = 1, the stress tensor satisfies the averaged null energy condition, and is consistent with the quantum interest conjecture. Moreover, the negative lower bound on null-contracted stress tensor, which is averaged over time-like trajectories along nearly null directions, is obtained. We find a weaker constraint on the magnitude and duration of negative null energy density in strongly coupled field theory as compared with the constraint in free relativistic field theory. The implications are discussed.

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Quantum Energy Inequalities

Fewster

2017

Fundamental Theories of Physics

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Quantum field theory violates all the classical energy conditions of general relativity. Nonetheless, it turns out that quantum field theories satisfy remnants of the classical energy conditions, known as Quantum Energy Inequalities (QEIs), that have been developed by various authors since the original pioneering work of Ford in 1978. These notes provide an introduction to QEIs and also to some of the techniques of quantum field theory in curved spacetime (particularly, the use of microlocal analysis together with the algebraic formulation of QFT) that enable rigorous and general QEIs to be derived. Specific examples are computed for the free scalar field and their consequences are discussed. QEIs are also derived for the class of unitary, positive energy conformal field theories in two spacetime dimensions. In that setting it is also possible to determine the probability distribution for individual measurements of certain smearings of the stress-energy tensor in the vacuum state. * Electronic address: chris.fewster@york.ac.uk 1 arXiv:1208.5399v1 [gr-qc]

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Holographic proof of the averaged null energy condition

Cited by 59 publications

References 78 publications

Traversable wormholes via a double trace deformation

Traversable wormholes via a double trace deformation

A holographic description of negative energy states

Quantum Energy Inequalities

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