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Symbol Recursion for the dS Wave Function

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arxiv 1912.09450 v1 pith:IDF4ZRNS submitted 2019-12-19 hep-th gr-qc

Aaron Hillman This is my paper · ORCID
classification hep-thgr-qc
keywords rulecontributioncosmologiesfunctionsymboltree-levelwaveapplies
verification ladder T0 review T1 audit T2 compute T3 formal
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We present a recursive rule for the symbol of perturbative contributions to the vacuum wave function of a conformally coupled scalar in FRW cosmologies. The rule applies exactly for a class of interactions and cosmologies, which contains {\lambda}{\phi}^3 in dS_4, a case of particular relevance as a source of building blocks for inflationary correlators. We use the rule to efficiently reproduce the tree-level four-point contribution and present novel computations of the bubble integrand and the tree-level five-point contribution. Our results apply equally well to the computation of Witten diagrams in Euclidean AdS.

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  1. All Tree-Level Massive Cosmological Correlators via Spectral Gluing

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    Tree-level massive de Sitter correlators are constructed by gluing Lauricella-type vertex functions according to graph combinatorics, and the hypergeometric content collapses to rational functions once the dynamical p...

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