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A preferred ground state for the scalar field in de Sitter space

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Abstract

We investigate a recent proposal for a distinguished vacuum state of a free scalar quantum field in an arbitrarily curved spacetime, known as the Sorkin-Johnston (SJ) vacuum, by applying it to de Sitter space. We derive the associated two-point functions on both the global and Poincaré (cosmological) patches in general d + 1 dimensions. In all cases where it is defined, the SJ vacuum belongs to the family of de Sitter invariant α-vacua. We obtain different states depending on the spacetime dimension, mass of the scalar field, and whether the state is evaluated on the global or Poincaré patch. We find that the SJ vacuum agrees with the Euclidean/Bunch-Davies state for heavy (“principal series”) fields on the global patch in even spacetime dimensions. We also compute the SJ vacuum on a causal set corresponding to a causal diamond in 1 + 1 dimensional de Sitter space. Our simulations show that the mean of the SJ two-point function on the causal set agrees well with its expected continuum counterpart.

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Authors and Affiliations

  1. Department of Physics and Astronomy, University of Waterloo, 200 University Avenue West, Waterloo, ON, N2L 3G1, Canada

    S. Aslanbeigi

  2. Perimeter Institute for Theoretical Physics, 31 Caroline St. N., Waterloo, ON, N2L 2Y5, Canada

    S. Aslanbeigi

  3. Theoretical Physics Group, Blackett Laboratory, Imperial College London, South Kensington Campus, London, SW7 2AZ, U.K.

    M. Buck

Authors
  1. S. Aslanbeigi
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Correspondence to M. Buck.

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ArXiv ePrint: 1306.3231

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Aslanbeigi, S., Buck, M. A preferred ground state for the scalar field in de Sitter space. J. High Energ. Phys. 2013, 39 (2013). https://doi.org/10.1007/JHEP08(2013)039

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