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Exact results for the entanglement entropy and the energy radiated by a quark

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  • Published: 07 May 2014
  • Volume 2014, article number 25, (2014)
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Journal of High Energy Physics Aims and scope Submit manuscript
Exact results for the entanglement entropy and the energy radiated by a quark
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  • Aitor Lewkowycz1 &
  • Juan Maldacena2 

  • 950 Accesses

  • 133 Citations

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A preprint version of the article is available at arXiv.

Abstract

We consider a spherical region with a heavy quark in the middle. We compute the extra entanglement entropy due to the presence of a heavy quark both in \( \mathcal{N} \) = 4 Super Yang Mills and in the \( \mathcal{N} \) = 6 Chern-Simons matter theory (ABJM). This is done by relating the computation to the expectation value of a circular Wilson loop and a stress tensor insertion.

We also give an exact expression for the Bremsstrahlung function that determines the energy radiated by a quark in the ABJM theory.

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Authors and Affiliations

  1. Jadwin Hall, Princeton University, Princeton, NJ, 08544, United States

    Aitor Lewkowycz

  2. Institute for Advanced Study, Princeton, NJ, 08540, United States

    Juan Maldacena

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  1. Aitor Lewkowycz
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  2. Juan Maldacena
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Correspondence to Aitor Lewkowycz.

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ArXiv ePrint: 1312.5682

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Lewkowycz, A., Maldacena, J. Exact results for the entanglement entropy and the energy radiated by a quark. J. High Energ. Phys. 2014, 25 (2014). https://doi.org/10.1007/JHEP05(2014)025

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  • Received: 27 March 2014

  • Accepted: 14 April 2014

  • Published: 07 May 2014

  • DOI: https://doi.org/10.1007/JHEP05(2014)025

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Keywords

  • Wilson
  • ’t Hooft and Polyakov loops
  • Supersymmetric gauge theory
  • AdSCFT Correspondence
  • Conformal and W Symmetry
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