Large distance expansion of mutual information for disjoint disks in a free scalar theory

Agón, Cesar A.; Cohen-Abbo, Isaac; Schnitzer, Howard J.

doi:10.1007/JHEP11(2016)073

Title: Large distance expansion of mutual information for disjoint disks in a free scalar theory

Abstract

We compute the next-to-leading order term in the long-distance expansion of the mutual information for free scalars in three space-time dimensions. The geometry considered is two disjoint disks separated by a distance r between their centers. No evidence for non-analyticity in the Rényi parameter n for the continuation n → 1 in the next-to-leading order term is found.

Authors:

Agón, Cesar A. ^[1]; Cohen-Abbo, Isaac ^[1]; Schnitzer, Howard J. ^[1]

Brandeis Univ., Waltham, MA (United States)

Publication Date:: Fri Nov 11 00:00:00 EST 2016

Research Org.:: Institute for Advanced Study, Princeton, NJ (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1423960

Grant/Contract Number:: sc0009988

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 11; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 74 ATOMIC AND MOLECULAR PHYSICS; Conformal and W Symmetry; Field Theories in Lower Dimensions

Citation Formats


                    Agón, Cesar A., Cohen-Abbo, Isaac, and Schnitzer, Howard J. Large distance expansion of mutual information for disjoint disks in a free scalar theory.  United States: N. p., 2016. 
Web.  doi:10.1007/JHEP11(2016)073.

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                    Agón, Cesar A., Cohen-Abbo, Isaac, & Schnitzer, Howard J. Large distance expansion of mutual information for disjoint disks in a free scalar theory.  United States.  https://doi.org/10.1007/JHEP11(2016)073

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                    Agón, Cesar A., Cohen-Abbo, Isaac, and Schnitzer, Howard J. Fri .  
"Large distance expansion of mutual information for disjoint disks in a free scalar theory".  United States.  https://doi.org/10.1007/JHEP11(2016)073.  https://www.osti.gov/servlets/purl/1423960.

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@article{osti_1423960,

  title        = {Large distance expansion of mutual information for disjoint disks in a free scalar theory},

  author       = {Agón, Cesar A. and Cohen-Abbo, Isaac and Schnitzer, Howard J.},

  abstractNote = {We compute the next-to-leading order term in the long-distance expansion of the mutual information for free scalars in three space-time dimensions. The geometry considered is two disjoint disks separated by a distance r between their centers. No evidence for non-analyticity in the Rényi parameter n for the continuation n → 1 in the next-to-leading order term is found.},

  doi          = {10.1007/JHEP11(2016)073},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 11,

  volume       = 2016,

  place        = {United States},

  year         = {Fri Nov 11 00:00:00 EST 2016},

  month        = {Fri Nov 11 00:00:00 EST 2016}

}

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Works referenced in this record:

Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence
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Ryu, Shinsei; Takayanagi, Tadashi
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Holzhey, Christoph; Larsen, Finn; Wilczek, Frank
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Faulkner, Thomas; Lewkowycz, Aitor; Maldacena, Juan
Journal of High Energy Physics, Vol. 2013, Issue 11
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Comments on Rényi entropy in AdS3/CFT2
journal, May 2014

Perlmutter, Eric
Journal of High Energy Physics, Vol. 2014, Issue 5
DOI: 10.1007/JHEP05(2014)052

Quantum corrections to holographic mutual information
journal, August 2016

Agón, Cesar A.; Faulkner, Thomas
Journal of High Energy Physics, Vol. 2016, Issue 8
DOI: 10.1007/JHEP08(2016)118

Entanglement entropy of two disjoint intervals in conformal field theory
journal, November 2009

Calabrese, Pasquale; Cardy, John; Tonni, Erik
Journal of Statistical Mechanics: Theory and Experiment, Vol. 2009, Issue 11
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Calabrese, Pasquale; Cardy, John; Tonni, Erik
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Works referencing / citing this record:

Entanglement entropy of two disjoint intervals and the recursion formula for conformal blocks
journal, November 2018

Ruggiero, Paola; Tonni, Erik; Calabrese, Pasquale
Journal of Statistical Mechanics: Theory and Experiment, Vol. 2018, Issue 11
DOI: 10.1088/1742-5468/aae5a8

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Title: Large distance expansion of mutual information for disjoint disks in a free scalar theory

Abstract

Citation Formats

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journal, August 1994

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Quantum corrections to holographic mutual information
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Entanglement entropy of two disjoint intervals in conformal field theory
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journal, November 2018