Constructing local bulk observables in interacting AdS/CFT

Kabat, Daniel; Lifschytz, Gilad; Lowe, David A

doi:10.1103/PHYSREVD.83.106009

Title: Constructing local bulk observables in interacting AdS/CFT

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Abstract

Local operators in the bulk of anti-de Sitter can be represented as smeared operators in the dual conformal field theory. We show how to construct these bulk observables by requiring that the bulk operators commute at spacelike separation. This extends our previous work by taking interactions into account. Large-N factorization plays a key role in the construction. We show diagrammatically how this procedure is related to bulk Feynman diagrams.

Authors:

Kabat, Daniel ^[1]; Lifschytz, Gilad ^[2]; Lowe, David A ^[3]

Department of Physics and Astronomy, Lehman College, CUNY, Bronx, New York 10468 (United States)
Department of Mathematics and Physics, University of Haifa at Oranim, Kiryat Tivon 36006 (Israel)
Department of Physics, Brown University, Providence, Rhode Island 02912 (United States)

Publication Date:: Sun May 15 00:00:00 EDT 2011

OSTI Identifier:: 21502660

Resource Type:: Journal Article

Journal Name:: Physical Review. D, Particles Fields

Additional Journal Information:: Journal Volume: 83; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevD.83.106009; (c) 2011 American Institute of Physics; Journal ID: ISSN 0556-2821

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANTI DE SITTER SPACE; CONFORMAL INVARIANCE; CONSTRUCTION; FACTORIZATION; FEYNMAN DIAGRAM; INTERACTIONS; QUANTUM FIELD THEORY; DIAGRAMS; FIELD THEORIES; INFORMATION; INVARIANCE PRINCIPLES; MATHEMATICAL SPACE; SPACE

Citation Formats


                    Kabat, Daniel, Lifschytz, Gilad, and Lowe, David A. Constructing local bulk observables in interacting AdS/CFT.  United States: N. p., 2011. 
        Web.  doi:10.1103/PHYSREVD.83.106009.

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                    Kabat, Daniel, Lifschytz, Gilad, & Lowe, David A. Constructing local bulk observables in interacting AdS/CFT.  United States.  https://doi.org/10.1103/PHYSREVD.83.106009

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                    Kabat, Daniel, Lifschytz, Gilad, and Lowe, David A. 2011.  
        "Constructing local bulk observables in interacting AdS/CFT".  United States.  https://doi.org/10.1103/PHYSREVD.83.106009.

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@article{osti_21502660,

  title        = {Constructing local bulk observables in interacting AdS/CFT},

  author       = {Kabat, Daniel and Lifschytz, Gilad and Lowe, David A},

  abstractNote = {Local operators in the bulk of anti-de Sitter can be represented as smeared operators in the dual conformal field theory. We show how to construct these bulk observables by requiring that the bulk operators commute at spacelike separation. This extends our previous work by taking interactions into account. Large-N factorization plays a key role in the construction. We show diagrammatically how this procedure is related to bulk Feynman diagrams.},

  doi          = {10.1103/PHYSREVD.83.106009},

  url          = {https://www.osti.gov/biblio/21502660},
  journal      = {Physical Review. D, Particles Fields},

  issn         = {0556-2821},

  number       = 10,

  volume       = 83,

  place        = {United States},

  year         = {Sun May 15 00:00:00 EDT 2011},

  month        = {Sun May 15 00:00:00 EDT 2011}

}

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