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Late-time Structure of the Bunch-Davies De Sitter Wavefunction

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arxiv 1406.5490 v2 pith:Q2IUGV3O submitted 2014-06-20 hep-th

Late-time Structure of the Bunch-Davies De Sitter Wavefunction

classification hep-th
keywords wavefunctionbunch-daviesconformallevelsittertreeconsidercontributions
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We examine the late time behavior of the Bunch-Davies wavefunction for interacting light fields in a de Sitter background. We use perturbative techniques developed in the framework of AdS/CFT, and analytically continue to compute tree and loop level contributions to the Bunch-Davies wavefunction. We consider self-interacting scalars of general mass, but focus especially on the massless and conformally coupled cases. We show that certain contributions grow logarithmically in conformal time both at tree and loop level. We also consider gauge fields and gravitons. The four-dimensional Fefferman-Graham expansion of classical asymptotically de Sitter solutions is used to show that the wavefunction contains no logarithmic growth in the pure graviton sector at tree level. Finally, assuming a holographic relation between the wavefunction and the partition function of a conformal field theory, we interpret the logarithmic growths in the language of conformal field theory.

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Cited by 8 Pith papers

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