Symbol Recursion for the dS Wave Function
High Energy Physics - Theory
2019-12-20 v1 General Relativity and Quantum Cosmology
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 {\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.
Cite
@article{arxiv.1912.09450,
title = {Symbol Recursion for the dS Wave Function},
author = {Aaron Hillman},
journal= {arXiv preprint arXiv:1912.09450},
year = {2019}
}