Real or Imaginary? (On pair creation in de Sitter space)

Emil T. Akhmedov (ITEP; Moscow)

Real or Imaginary? (On pair creation in de Sitter space)

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arxiv 0909.3722 v6 pith:KKOPZS4V submitted 2009-09-21 hep-th gr-qc

Emil T. Akhmedov (ITEP , Moscow) This is my paper · ORCID

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Using properly defined Feynman propagator we obtain non--zero imaginary contribution to the scalar field effective action in even dimensional de Sitter space. Such a propagator follows from the path integral in de Sitter space and obeys composition principle proposed in arXiv:0709.2899. The obtained expression for the effective action shows particle production with the Gibbons--Hawking rate.

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Boundary Completion of Vacuum Persistence Probability
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The Green's function prescription for the in-out effective action omits endpoint vacuum wavefunctional contributions; including them cancels the boundary obstruction and recovers the Bogoliubov vacuum persistence probability.

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