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Averaged null energy condition from causality

Hartman, Thomas, Kundu, Sandipan, Tajdini, Amirhossein·2017·Journal of High Energy Physics
DOI 10.1007/jhep07(2017)066
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Figure 1 Kinematics for the derivation of the ANEC. The leading correction to the ψψ OPE is the null energy integrated over the red line, which in the limit of large u takes the form 〈 O ∫ duT uu O 〉 . This is then related to an expectation value by a Euclidean rotation.
Figure 1 Kinematics for the derivation of the ANEC. The leading correction to the ψψ OPE is the null energy integrated over the red line, which in the limit of large u takes the form 〈 O ∫ duT uu O 〉 . This is then related to an expectation value by a Euclidean rotation.CC-BY · From the PDF
Figure 2 Operator insertions in Minkowski spacetime. In the limit where the two ψ 's become null, but are widely separated in u , the leading non-identity term in the ψψ OPE is ∫ duT uu , integrated over the red null line.
Figure 2 Operator insertions in Minkowski spacetime. In the limit where the two ψ 's become null, but are widely separated in u , the leading non-identity term in the ψψ OPE is ∫ duT uu , integrated over the red null line.CC-BY · From the PDF
Image 3
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Image 4
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Figure 3 Operator insertions on the τy -plane defining the smeared 4-point function 〈 Θ 0 Θ 0 〉 .
Figure 3 Operator insertions on the τy -plane defining the smeared 4-point function 〈 Θ 0 Θ 0 〉 .CC-BY · From the PDF
Figure 4 Two different ways to interpret the same Euclidean theory. The Euclidean R d (horizontal orange plane, parameterized by ( τ, y, ⃗ x )) is the same in both pictures, but the definition of states and corresponding notion of Minkowski spacetime (vertical blue planes) is different in the two cases. On the left, the continuation to Lorentzian is τ → it , states of the theory are defined on the plane τ = 0, and y is a space direction. On the right, the continuation to Lorentzian is y → it ′ , states are defined at y = 0, and τ = y ′ is a space direction. The two theories are identical, since they are determined by the same set of Euclidean correlators, but the map of observables and matrix elements from one description to the other is nontrivial.
Figure 4 Two different ways to interpret the same Euclidean theory. The Euclidean R d (horizontal orange plane, parameterized by ( τ, y, ⃗ x )) is the same in both pictures, but the definition of states and corresponding notion of Minkowski spacetime (vertical blue planes) is different in the two cases. On the left, the continuation to Lorentzian is τ → it , states of the theory are defined on the plane τ = 0, and y is a space direction. On the right, the continuation to Lorentzian is y → it ′ , states are defined at y = 0, and τ = y ′ is a space direction. The two theories are identical, since they are determined by the same set of Euclidean correlators, but the map of observables and matrix elements from one description to the other is nontrivial.CC-BY · From the PDF
Image 7
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Image 8
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Metadata

Authors
Hartman, T., Kundu, S., & Tajdini, A.
Venue
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Published
2017-07
Volume
2017
Issue
7
ISSN
1029-8479
DOI
10.1007/jhep07(2017)066
Cited by
185
References
1
Language
en

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Hartman, T., Kundu, S., & Tajdini, A. (2017). Averaged null energy condition from causality. Journal of High Energy Physics. https://doi.org/10.1007/jhep07(2017)066

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