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Propagators and Gaussian effective actions in various patches of de Sitter space

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arxiv 1905.09344 v2 pith:XIKCYMSB submitted 2019-05-22 hep-th gr-qc

Propagators and Gaussian effective actions in various patches of de Sitter space

E.T.Akhmedov , K.V.Bazarov , D.V.Diakonov , U.Moschella , F.K.Popov , C.Schubert This is my paper
classification hep-th gr-qc
keywords propagatorspatchsitterimaginarypatchespoincaractionsalpha-
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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abstract

We consider time-ordered (or Feynman) propagators between two different $\alpha-$states of a linear de Sitter Quantum Field in the global de Sitter manifold and in the Poincar\'e patch. We separately examine $\alpha-\beta$, In-In and In-Out propagators and find the imaginary contribution to the effective actions. The In-In propagators are real in both the Poincar\'e patch and in the global de Sitter manifold. On the other side the In-Out propagators at coincident points contain finite imaginary contributions in both patches in even dimensions, but they are not equivalent. In odd dimensions in both patches the imaginary contributions are zero. For completeness, we also consider the Static patch and identify in our construction the state that is equivalent to the Bunch-Davies one in the Poincar\'e patch.

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