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Paper   IPM / Physic / 13530
School of Physics
  Title:   Particle Creation in Global de Sitter Space: Bulk Space Consideration
  Author(s):  M.R. Tanhayi
  Status:   Published
  Journal: IJMPD
  No.:  7
  Vol.:  24
  Year:  2014
  Pages:   1550052
  Supported by:  IPM
Recently in [1, 2], it was shown that global de Sitter space is unstable even to the massive particle creation with no self-interactions. In this paper we study the instability by making use of the coordinate-independent plane wave in de Sitter space, explicitly, we show there is a mixture of positive and negative solutions at the past infinity. The so-called plane wave are defined globally in de Sitter space and de Sitter invariance is manifest since such modes are deduced from the group theoretical point of view by the means of the Casimir operators. This method could potentially generalize to higher spin consideration and the corresponding higher-spin wave equations can be obtained in terms of the plane wave. In fact, the underling symmetry of embedding space namely the 4 + 1 dimensional at space is used to write the field equations and the solutions are obtained in terms of the plane wave in embedding space.

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