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Title: Looking for a bulk point

Abstract

Here, we consider Lorentzian correlators of local operators. In perturbation theory, singularities occur when we can draw a position-space Landau diagram with null lines. In theories with gravity duals, we can also draw Landau diagrams in the bulk. We also argue that certain singularities can arise only from bulk diagrams, not from boundary diagrams. As has been previously observed, these singularities are a clear diagnostic of bulk locality. We analyze some properties of these perturbative singularities and discuss their relation to the OPE and the dimensions of double-trace operators. In the exact nonperturbative theory, we expect no singularity at these locations. Finally, we prove this statement in 1+1 dimensions by CFT methods.

Authors:
 [1];  [1];  [2]
  1. Inst. for Advanced Study, Princeton, NJ (United States). School of Natural Sciences
  2. Harvard Univ., Cambridge, MA (United States). Center for Fundamental Laws of Nature
Publication Date:
Research Org.:
Institute for Advanced Study, Princeton, NJ (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1360732
Grant/Contract Number:  
SC0009988
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 1; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AdS-CFT Correspondence; Conformal Field Theory; Classical Theories of Gravity; Scattering Amplitudes

Citation Formats

Maldacena, Juan, Simmons-Duffin, David, and Zhiboedov, Alexander. Looking for a bulk point. United States: N. p., 2017. Web. doi:10.1007/JHEP01(2017)013.
Maldacena, Juan, Simmons-Duffin, David, & Zhiboedov, Alexander. Looking for a bulk point. United States. doi:10.1007/JHEP01(2017)013.
Maldacena, Juan, Simmons-Duffin, David, and Zhiboedov, Alexander. Tue . "Looking for a bulk point". United States. doi:10.1007/JHEP01(2017)013. https://www.osti.gov/servlets/purl/1360732.
@article{osti_1360732,
title = {Looking for a bulk point},
author = {Maldacena, Juan and Simmons-Duffin, David and Zhiboedov, Alexander},
abstractNote = {Here, we consider Lorentzian correlators of local operators. In perturbation theory, singularities occur when we can draw a position-space Landau diagram with null lines. In theories with gravity duals, we can also draw Landau diagrams in the bulk. We also argue that certain singularities can arise only from bulk diagrams, not from boundary diagrams. As has been previously observed, these singularities are a clear diagnostic of bulk locality. We analyze some properties of these perturbative singularities and discuss their relation to the OPE and the dimensions of double-trace operators. In the exact nonperturbative theory, we expect no singularity at these locations. Finally, we prove this statement in 1+1 dimensions by CFT methods.},
doi = {10.1007/JHEP01(2017)013},
journal = {Journal of High Energy Physics (Online)},
number = 1,
volume = 2017,
place = {United States},
year = {Tue Jan 03 00:00:00 EST 2017},
month = {Tue Jan 03 00:00:00 EST 2017}
}

Journal Article:
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Cited by: 30 works
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