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arXiv · 1912.09450

Symbol Recursion for the dS Wave Function

Aaron Hillman
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Abstract

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 λϕ^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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Aaron Hillman. 2019-12-19. Symbol Recursion for the dS Wave Function. https://arxiv.org/abs/1912.09450

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