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Entanglement entropy of α-vacua in de Sitter space
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  • Published: 16 July 2014

Entanglement entropy of α-vacua in de Sitter space

  • Sugumi Kanno1,
  • Jeff Murugan1,
  • Jonathan P. Shock1 &
  • …
  • Jiro Soda2 

Journal of High Energy Physics volume 2014, Article number: 72 (2014) Cite this article

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A preprint version of the article is available at arXiv.

Abstract

We consider the entanglement entropy of a free massive scalar field in the one parameter family of α-vacua in de Sitter space by using a method developed by Maldacena and Pimentel. An α-vacuum can be thought of as a state filled with particles from the point of view of the Bunch-Davies vacuum. Of all the α-vacua we find that the entanglement entropy takes the minimal value in the Bunch-Davies solution. We also calculate the asymptotic value of the Rényi entropy and find that it increases as α increases. We argue these features stem from pair condensation within the non-trivial α-vacua where the pairs have an intrinsic quantum correlation.

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This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Authors and Affiliations

  1. Laboratory for Quantum Gravity & Strings and Astrophysics, Cosmology & Gravity Center, Department of Mathematics & Applied Mathematics, University of Cape Town, Private Bag, Rondebosch, 7701, South Africa

    Sugumi Kanno, Jeff Murugan & Jonathan P. Shock

  2. Department of Physics, Kobe University, Kobe, 657-8501, Japan

    Jiro Soda

Authors
  1. Sugumi Kanno
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  2. Jeff Murugan
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  3. Jonathan P. Shock
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  4. Jiro Soda
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Corresponding author

Correspondence to Sugumi Kanno.

Additional information

ArXiv ePrint: 1404.6815

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Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

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Cite this article

Kanno, S., Murugan, J., Shock, J.P. et al. Entanglement entropy of α-vacua in de Sitter space. J. High Energ. Phys. 2014, 72 (2014). https://doi.org/10.1007/JHEP07(2014)072

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  • Received: 05 May 2014

  • Accepted: 11 June 2014

  • Published: 16 July 2014

  • DOI: https://doi.org/10.1007/JHEP07(2014)072

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Keywords

  • Classical Theories of Gravity
  • Cosmology of Theories beyond the SM
  • Field Theories in Higher Dimensions
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