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α-states in de Sitter space

Jan de Boer1,*, Vishnu Jejjala2,†, and Djordje Minic2,‡

  • 1Instituut voor Theoretische Fysica, Valckenierstraat 65, 1018XE Amsterdam, The Netherlands
  • 2Institute for Particle Physics and Astrophysics, Physics Department, Robeson Hall, Virginia Tech, Blacksburg, Virginia 24061, USA

  • *Electronic address: jdeboer@science.uva.nl
  • †Electronic address: vishnu@vt.edu
  • ‡Electronic address: dminic@vt.edu
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Phys. Rev. D 71, 044013 – Published 10 February, 2005

DOI: https://doi.org/10.1103/PhysRevD.71.044013

Abstract

Field theory in de Sitter space admits a one-parameter family of vacua determined by a superselection parameter α. Of these vacua, the Euclidean vacuum uniquely extrapolates to the vacuum of flat Minkowski space. States which resemble the α-vacua can be constructed as excitations above the Euclidean vacuum. Such states have modes α(k) which decay faster that k(1−d)/2. Fields in such states exhibit nonlocal correlations when examined from the perspective of fields in the Euclidean vacuum. The dynamics of such entangled states are fully consistent. If an α-state with properties that interpolate between an α-vacuum and the Euclidean vacuum were the initial condition for inflation, a signature for this may be found in a momentum dependent correction to the inflationary power spectrum. The functional formalism, which provides the tool for examining physics in an α-state, extends to fields of other spin. In particular, the extension to spin-2 may proffer a new class of infrared modifications to gravitational interactions. The implications of superselection sectors for the landscape of string vacua are briefly discussed.

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Phys. Rev. D 71, 044013– Published 10 February, 2005
  • Received 27 July 2004

© 2005 American Physical Society

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